Six equilateral triangles are connected to create a regular hexagon. The area of the hexagon is 24a2 – 18 square units. Which is an equivalent expression for the area of the hexagon based on the area of a triangle?
6(4a2 – 3)
6(8a2 – 9)
6a(12a – 9)
6a(18a – 12)
Answers
you would factor out just the 6 because the 18 doesn’t a a term with it like 34a2 does. then just divide normally to get ur answer 6(4a2 - 3)
Related Questions
Solve the inequality for w.
w+7<20
Simplify your answer as much as possible.
0
Answers
Answer:
w<13
Step-by-step explanation:
Works identically to a normal single-variable equation.
Subtract 7 on both sides in order to isolate w--->w+7-7<20-7
The answer (which cannot be simplified any further) is w<13.
Answer:
w < 1`3
Step-by-step explanation:
Isolate the variable w on one side of the inequality sign.
w+7<20
w<20 - 7
w<13.
PLEASE HELPPP!!!!SOMEONEEEE
Answers
Answer:
(i) x ≤ 1
(ii) ℝ except 0, -1
(iii) x > -1
(iv) ℝ except π/2 + nπ, n ∈ ℤ
Step-by-step explanation:
(i) The number inside a square root must be positive or zero to give the expression a real value. Therefore, to solve for the domain of the function, we can set the value inside the square root greater or equal to 0, then solve for x:
\(1-x \ge 0\)
\(1 \ge x\)
\(\boxed{x \le 1}\)
(ii) The denominator of a fraction cannot be zero, or else the fraction is undefined. Therefore, we can solve for the values of x that are NOT in the domain of the function by setting the expression in the denominator to 0, then solving for x.
\(0 = x^2+x\)
\(0 = x(x + 1)\)
\(x = 0\) OR \(x = -1\)
So, the domain of the function is:
\(R \text{ except } 0, -1\)
(ℝ stands for "all real numbers")
(iii) We know that the value inside a logarithmic function must be positive, or else the expression is undefined. So, we can set the value inside the log greater than 0 and solve for x:
\(x+ 1 > 0\)
\(\boxed{x > -1}\)
(iv) The domain of the trigonometric function tangent is all real numbers, except multiples of π/2, when the denominator of the value it outputs is zero.
\(\boxed{R \text{ except } \frac{\pi}2 + n\pi} \ \text{where} \ \text{n} \in Z\)
(ℤ stands for "all integers")
Answer:
(i) x ≤ 1
(ii) All real numbers except x = 0 and x = -1.
(iii) x > -1
(iv) All real numbers except x = π/2 + πn, where n is an integer.
Step-by-step explanation:
What is the domain?The domain of a function is the set of all possible input values (x-values).
\(\hrulefill\)
\(\textsf{(i)} \quad f(x)=\sqrt{1-x}\)
For a square root function, the expression inside the square root must be non-negative. Therefore, for function f(x), 1 - x ≥ 0.
Solve the inequality:
\(\begin{aligned}1 - x &\geq 0\\\\1 - x -1 &\geq 0-1\\\\-x &\geq -1\\\\\dfrac{-x}{-1} &\geq \dfrac{-1}{-1}\\\\x &\leq 1\end{aligned}\)
(Note that when we divide or multiply both sides of an inequality by a negative number, we must reverse the inequality sign).
Hence, the domain of f(x) is all real numbers less than or equal to -1.
\(\boxed{\begin{aligned} \textsf{Inequality notation:} \quad &x \leq 1\\\textsf{Interval notation:} \quad &(-\infty, 1]\\\textsf{Set-builder notation:} \quad &\left\{x \in \mathbb{R}\left|\: x \leq 1 \right\} \end{aligned}}\)
\(\hrulefill\)
\(\textsf{(ii)} \quad g(x) = \dfrac{1}{x^2 + x}\)
To find the domain of g(x), we need to identify any values of x that would make the denominator equal to zero, since division by zero is undefined.
Set the denominator to zero and solve for x:
\(\begin{aligned}x^2 + x &= 0\\x(x + 1) &= 0\\\\\implies x &= 0\\\implies x &= -1\end{aligned}\)
Therefore, the domain of g(x) is all real numbers except x = 0 and x = -1.
\(\boxed{\begin{aligned} \textsf{Inequality notation:} \quad &x < -1 \;\;\textsf{or}\;\; -1 < x < 0 \;\;\textsf{or}\;\; x > 0\\\textsf{Interval notation:} \quad &(-\infty, -1) \cup (-1, 0) \cup (0, \infty)\\\textsf{Set-builder notation:} \quad &\left\{x \in \mathbb{R}\left|\: x \neq 0,x \neq -1 \right\} \end{aligned}}\)
\(\hrulefill\)
\(\textsf{(iii)}\quad h(x) = \log_7(x + 1)\)
For a logarithmic function, the argument (the expression inside the logarithm), must be greater than zero.
Therefore, for function h(x), x + 1 > 0.
Solve the inequality:
\(\begin{aligned}x + 1 & > 0\\x+1-1& > 0-1\\x & > -1\end{aligned}\)
Therefore, the domain of h(x) is all real numbers greater than -1.
\(\boxed{\begin{aligned} \textsf{Inequality notation:} \quad &x > -1\\\textsf{Interval notation:} \quad &(-1, \infty)\\\textsf{Set-builder notation:} \quad &\left\{x \in \mathbb{R}\left|\: x > -1\right\} \end{aligned}}\)
\(\hrulefill\)
\(\textsf{(iv)} \quad k(x) = \tan x\)
The tangent function can also be expressed as the ratio of the sine and cosine functions:
\(\tan x = \dfrac{\sin x}{\cos x}\)
Therefore, the tangent function is defined for all real numbers except the values where the cosine of the function is zero, since division by zero is undefined.
From inspection of the unit circle, cos(x) = 0 when x = π/2 and x = 3π/2.
The tangent function is periodic with a period of π. This means that the graph of the tangent function repeats itself at intervals of π units along the x-axis.
Therefore, if we combine the period and the undefined points, the domain of k(x) is all real numbers except x = π/2 + πn, where n is an integer.
\(\boxed{\begin{aligned} \textsf{Inequality notation:} \quad &\pi n\le \:x < \dfrac{\pi }{2}+\pi n\quad \textsf{or}\quad \dfrac{\pi }{2}+\pi n < x < \pi +\pi n\\\textsf{Interval notation:} \quad &\left[\pi n ,\dfrac{\pi }{2}+\pi n\right) \cup \left(\dfrac{\pi }{2}+\pi n,\pi +\pi n\right)\\\textsf{Set-builder notation:} \quad &\left\{x \in \mathbb{R}\left|\: x \neq \dfrac{\pi}{2}+\pi n\;\; (n \in\mathbb{Z}) \right\}\\\textsf{(where $n$ is an integer)}\end{aligned}}\)
clara is building a triangular garden. she wants the length of the longest side to be three more than twice as long as the length of the shortest side, and the third side will be twelve feet long . what expression could she write to determine the perimeter of the triangle if s represents the length of the shortest side ?
Answers
The expression to determine the perimeter of the triangle in terms of the shortest side (s) is 3s + 15.
To determine the perimeter of the triangle, we need to express the lengths of all three sides in terms of the shortest side (s).
The longest side is three more than twice the length of the shortest side. This can be expressed as 2s + 3.
The third side is twelve feet long.
Now, let's denote the lengths of the sides as follows:
Shortest side = s
Second side = 2s + 3
Third side = 12
To find the perimeter, we sum up the lengths of all three sides:
Perimeter = s + (2s + 3) + 12
Simplifying the expression:
Perimeter = s + 2s + 3 + 12
Perimeter = 3s + 15
Therefore, the expression to determine the perimeter of the triangle in terms of the shortest side (s) is 3s + 15.
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A = {1, 2, 5, 7}
B = {3, 4, 6, 7}
C = {0, 5, 8, 9}
Find A U B U C.
Answers
Answer: In set theory, the union (denoted by ∪) of a collection of sets is the set of all elements in the collection. It is one of the fundamental operations through which sets can be combined and related to each other.
A U B U C = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9 }
Step-by-step explanation:
A = {1, 2, 5, 7}
B = {3, 4, 6, 7}
C = {0, 5, 8, 9}
A U B U C = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9 }
work out the area of the circle
take pi to be 3.142 give your answer to 1 decimal place
radius 8
Answers
The area of the circle with the given radius is 201.088 square units.
What is area of a circle?The area of a circle is the space occupied by the circle in a two-dimensional plane. Alternatively, the space occupied within the boundary/circumference of a circle is called the area of the circle. The formula for the area of a circle is A = πr², where r is the radius of the circle.
Given that, the radius of a circle is 8 units.
Here, area of a circle
= 3.142×8²
= 3.142×64
= 201.088 square units
Therefore, the area of the circle is 201.088 square units.
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PLEASE HELP, I NEED TO FINISH THIS QUICK. FIRST TO ANSWER CORRECTLY GETS BRAINLIEST!!
Answers
Answer:
a
Step-by-step explanation:
when you divide it the last decimal nubers keep on repeating its self so you put a line above the decimals
Answer:
It is a rational number and a repeating decimal
Step-by-step explanation:
A,F,B
What is the slope of the line that passes through the points (-2, 2), and (-4, -2)?
-1/2
2
-2
1/2
Answers
Answer:
The slope would be 2
Step-by-step explanation:
Please brainliest!
And hope this helped you!
I also answered first!
And tell me If I am wrong! :D
PLEASE HELP ON QUESTION ASAP !
hi ! I really need help understanding paragraph and I've also added a question about paragraph by me down below . Would like explanation in simple words.
If answers correct I'll rate you five stars a thanks and maybe even brainliest
Paragraph I needed help understanding:
If two or more cells are connected together side by side, the voltage across them is sum of the voltage of each cell. This is because both cells are pushing same way.
My Question about paragraph:
If the sum lets say was 4.5v would every individual cell be worth 4.5 as it says in question ' voltage across them is the sum of voltage of each cell ' or are they each a different value? And how would we be able to find value?.
Answers
If the sum of the voltage is 4.5V, it is possible that different cells have different voltages. For example, three cells with voltages 1V, 1.5V, and 2V could be connected together side by side to give a total voltage of 4.5V.
To find the voltage of each cell, we would need to know the voltage across each cell or the voltage of the other cells connected in the circuit. Then we could use the fact that the sum of the voltages across all cells in the circuit is equal to the total voltage of the circuit to solve for the voltage of each cell.
In a certain city it was recorded that 15 1/5 inches of rain fell over a 24 hour period how much rain fell per hour on average
Answers
Another method could be to set it up as a proportion, then
10.2 inches = x inches the answer comes out the same of course
Justin runs each lap in 8 minutes. He will run at most 10 laps today. What are the possible numbers of minutes he will run today?
Answers
Write the explicit rule
50, 45, 40, 35, 30
Answers
Answer:
a_n = 50 - 5n, for n = 1,2, 3, ...
Step-by-step explanation:
a_1 = 50
a_2 = 50 - 5 = 45
a_3 = 50 - 2 * 5 = 40
a_n = 50 - (n - 1) * 5
a_n = 50 - 5n + 5
a_n = 50 - 5n
Answer:
an = -5n + 55.
Step-by-step explanation:
This is arithmetic with common difference -5.
an = a1 + d(n-1)
an = 50 - 5(n - 1)
an = 50 - 5n + 5
an = -5n + 55.
Please hurry it’s urgent thank you
Answers
second is 25
third is 20
Each side length of a triangle is 4 cm. What type of triangle is it?
☐ right
□acute
Equilateral
Isosceles
Answers
Answer: Equilateral
Step-by-step explanation:
It's equilateral because it says that each side of the triangle is 4cm. In simple words, all the sides of triangle are equal. Such a triangle is called an equilateral triangle.
Hope you understood.
emily receives 800 every 2 weeks
Answers
Answer: The $800 is Emily's gross income, while $600 is her disposable income.
Step-by-step explanation:
Solve the following inequality: -3x - 8 > -32
Answers
Answer:
x < 8
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Tamarisk Corporation is considering purchasing a new delivery truck. The truck has many advantages over the company's current truck (not the least of which is that it runs). The new truck would cost $56,619. Because of the increased capacity, reduced maintenance costs, and increased fuel economy, the new truck is expected to generate cost savings of $8,100. At the end of eight years, the company will sell the truck for an estimated $28,500. Traditionally, the company has used a general rule that it should not accept a proposal unless it has a payback period that is less than 50% of the asset's estimated useful life. Thomas Anderson, a new manager, has suggested that the company should not rely only on the payback approach but should also use the net present value method when evaluating new projects. The company's cost of capital is 8%.
Answers
The cash Payback period is 6.66 years and the Net present value of the proposed investment is $5,329 (to see the calculation please refer the attached image.)
Computation of Payback Period
Cash Payback Period = Cost of truck/Annual cost savings.
Given that-
Cost of truck = $56,619
Annual cost savings = $8,100
Putting values, we get-
Cash payback period = ($56,619/$8,100) cash payback period
cash payback period = 6.66 years.
To calculate the PVF at 8% below is the formula
P = (1/\((1+r)^{n}\))
Where,
P = the Present Value Factor.
r = the interest rate
n = the number of periods over which payments are made.
To calculate the Present Value = PVF at 8% x Amount.
Hence, As the Net Present Value is positive, Tamarisk corporation should purchase the truck.
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(a) Find the lateral area (in square inches) of the prism.
(b) Find the total area (in square inches) of the prism.
(c) Find the volume (in cubic inches) of the prism.
Answers
Answer:
c
Step-by-step explanation:
Please solve this
∫ (log(1 + x ^ 2))/((x + 1) ^ 2) dx
Answers
The final result of the integral is:
∫ (log(1 + x²) / (x + 1)²) dx = log(x + 1) - 2 (log(x + 1) / x) - 2Li(x) + C,
where Li(x) is the logarithmic integral function and C is the constant of integration.
We have,
To solve the integral ∫ (log(1 + x²) / (x + 1)²) dx, we can use the method of substitution.
Let's substitute u = x + 1, which implies du = dx. Making this substitution, the integral becomes:
∫ (log(1 + (u-1)²) / u²) du.
Expanding the numerator, we have:
∫ (log(1 + u² - 2u + 1) / u²) du
= ∫ (log(u² - 2u + 2) / u²) du.
Now, let's split the logarithm using the properties of logarithms:
∫ (log(u² - 2u + 2) - log(u²)) / u² du
= ∫ (log(u² - 2u + 2) / u²) du - ∫ (log(u²) / u²) du.
We can simplify the second integral:
∫ (log(u²) / u²) du = ∫ (2 log(u) / u²) du.
Using the power rule for integration, we can integrate both terms:
∫ (log(u² - 2u + 2) / u²) du = log(u² - 2u + 2) / u - 2 ∫ (log(u) / u³) du.
Now, let's focus on the second integral:
∫ (log(u) / u³) du.
This integral does not have a simple closed-form solution in terms of elementary functions.
It can be expressed in terms of a special function called the logarithmic integral, denoted as Li(x).
Therefore,
The final result of the integral is:
∫ (log(1 + x²) / (x + 1)²) dx = log(x + 1) - 2 (log(x + 1) / x) - 2Li(x) + C,
where Li(x) is the logarithmic integral function and C is the constant of integration.
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For the situation, draw a diagram for the relationship of the quantities to help you answer the question. Then write a multiplication equation and division equation for the relationship.
Suppose one batch of cookies requires 2⁄3 cup of flour. How many batches can be made with 4 cups of flour?
Answers
Answer: 6 batches
Step-by-step explanation:
From the question, we are informed that one batch of cookies requires 2⁄3 cup of flour.
Therefore, the number of batches that can be made with 4 cups of flour will be:
= 4 / 2/3
= 4 × 3/2
= 12/2
= 6 batches
Simplify the following expression. 3 11 5 ÷ 3 − 9 5 A. 12 B. 1 81 C. 81 D.
Answers
Answer:
A
Step-by-step explanation:
To simplify the expression 3 11 5 ÷ 3 − 9 5, let's break it down step by step:
First, let's simplify the division 3 11 5 ÷ 3:
3 11 5 ÷ 3 = (3 × 115) ÷ 3 = 345 ÷ 3 = 115.
Next, let's subtract 9 5 from the result we obtained:
115 - 9 5 = 115 - (9 × 5) = 115 - 45 = 70.
Therefore, the simplified expression is 70.
The correct answer is A. 70.
Marsha has 32 bottle caps. She wants to turn them into her school to rise money for the fundraiser that goes on year round. How much would she earn for the school if each cap is $0.05 per cap?
Group of answer choices
$1.50
$1.60
$1.45
$32.50
Answers
Answer:
$1.60
Step-by-step explanation:
32 bottle caps
× $0.05 per cap
= #1.60
If mZA = (4x - 2)° and mZB= (6x-20), what is the value of x?
Answers
To find the value of x, we can set the two angle measures equal to each other and solve for x.
Given:
mZA = (4x - 2)°
mZB = (6x - 20)°
Setting them equal to each other:
4x - 2 = 6x - 20
Now, we can solve for x:
4x - 6x = -20 + 2
-2x = -18
Dividing both sides by -2:
x = -18 / -2
x = 9
Therefore, the value of x is 9.
Answer:
The answer is 9.
Step-by-step explanation:
We need to use the fact that the sum of the angles in a triangle is 180 degrees. Let A, B, and C be the three angles in the triangle. Then we have:
mZA + mZB + mZC = 180°
Substituting the given values, we get:
(4x - 2)° + (6x - 20)° + mZC = 180°
Simplifying the left side, we get:
10x - 22 + mZC = 180°
Next, we use the fact that angles opposite congruent sides of a triangle are congruent. Since we know that segment AC and segment BC are congruent, we have:
mZA = mZB
Substituting the given values and simplifying, we get
4x - 2 = 6x - 20
Solving for x, we get:
x = 9
Therefore, the value of x is 9.
A new blood pressure medication has been manufactured and a study is being conducted to determine whether its effectiveness depends on dose. When 50 milligrams of the medication was administered to a simple random sample (SRS) of 40 patients, 12 of them demonstrated lower blood pressure. When 100 milligrams of the medication was administered to another SRS of 35 patients, 14 of them demonstrated lower blood pressure. Which of the following test statistics is an appropriate hypothesis test?
Answers
a z-test for the proportional difference is the proper hypothesis test.
What is the deviation in proportions?A hypothesis test can be used to find whether the deviation in proportions impacts the medication's effectivity. We may compare the secondary hypothesis—that the proportions are different—to the null hypothesis.
which states that the dimension of patients who show cut down blood pressure is the same for the two doses of the drug (50 mg and 100 mg).
Popular test statistics like the z-test can be applied to this hypothesis test and other statistical analyses.
\(z = (p1 - p2) / SE\)
where p1 and p2, for the 50 mg and 100 mg doses, respectively, are the sample proportions of patients who show fallen blood pressure, and SE is the standard error of the difference between the proportions.
the samples are assumed to be independent or dependent, impacts the SE formula. The samples in this instance are presumed to be independent because they came from various patients. Consequently, the equation for SE is:
\(SE = \sqrt(p1 \times (1 - p1)/n1 + p2 *\times(1 - p2)/n2)\)
here, the sample sizes for two doses is n1 and n2.
We can compute the z-test statistic based on the sample sizes and proportions and compare the result to a critical value or p-value to decide whether to accept or reject the null hypothesis.
Therefore, a z-test for the proportional difference is the proper hypothesis test.
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PRE CALC HELP NEEDED
Answers
Answer:
\(\dfrac{5e^2}{2}\)
Step-by-step explanation:
Differentiation is an algebraic process that finds the slope of a curve. At a point, the slope of a curve is the same as the slope of the tangent line to the curve at that point. Therefore, to find the slope of the line tangent to the given function, differentiate the given function.
Given function:
\(y=x^2\ln(2x)\)
Differentiate the given function using the product rule.
\(\boxed{\begin{minipage}{5.5 cm}\underline{Product Rule for Differentiation}\\\\If $y=uv$ then:\\\\$\dfrac{\text{d}y}{\text{d}x}=u\dfrac{\text{d}v}{\text{d}x}+v\dfrac{\text{d}u}{\text{d}x}$\\\end{minipage}}\)
\(\textsf{Let\;$u=x^2}\)\(\textsf{Let\;$u=x^2$}\implies \dfrac{\text{d}u}{\text{d}x}=2x\)
\(\textsf{Let\;$v=\ln(2x)$}\implies \dfrac{\text{d}v}{\text{d}x}=\dfrac{2}{2x}=\dfrac{1}{x}\)
Input the values into the product rule to differentiate the function:
\(\begin{aligned}\dfrac{\text{d}y}{\text{d}x}&=u\dfrac{\text{d}v}{\text{d}x}+v\dfrac{\text{d}u}{\text{d}x}\\\\&=x^2 \cdot \dfrac{1}{x}+\ln(2x) \cdot 2x\\\\&=x+2x\ln(2x)\end{aligned}\)
To find the slope of the tangent line at x = e²/2, substitute x = e²/2 into the differentiated function:
\(\begin{aligned}x=\dfrac{e^2}{2}\implies \dfrac{\text{d}y}{\text{d}x}&=\dfrac{e^2}{2}+2\left(\dfrac{e^2}{2}\right)\ln\left(2 \cdot \dfrac{e^2}{2}\right)\\\\&=\dfrac{e^2}{2}+e^2\ln\left(e^2\right)\\\\&=\dfrac{e^2}{2}+2e^2\\\\&=\dfrac{5e^2}{2}\end{aligned}\)
Therefore, the slope of the line tangent to the graph of y = x²ln(2x) at the point where x = e²/2 is:
\(\boxed{\dfrac{5e^2}{2}}\)
x/5 + 3 = 2 what is x
Answers
Answer:
-5
Step-by-step explanation:
Answer:
x = -5
Step-by-step explanation:
hope it helps on quiz/test/assignemnt/homework !!!!!!
The function f(x)=2x2−x+4; f ( x ) = 2 x 2 − x + 4 is defined over the domain 0 ≤ x ≤ 3 Find the range of this function. A. 4 < f(x) < 7 B. 4 < f(x )< 19 C. 4 ≤ f(x) ≤ 19 D. 4 ≤ f(x) ≤ 25
Answers
Answer:
C. 4 ≤ f(x) ≤ 19 . . . . . . best of bad answer choices
Step-by-step explanation:
When looking for the range of a function on an interval, one must check the function values at the ends of the interval, along with any local maxima or minima.
Here, the function values at the interval ends are ...
f(0) = 4
f(3) = 2·3² -3 +4 = 19
The axis of symmetry is located at ...
x = -b/(2a) = -(-1)/(2(2)) = 1/4
This is a value in the interval, so will be the location of the minimum value of the function.
f(1/4) = 2(1/4)² -1/4 +4 = 3.875
The range of f(x) on the interval [0, 3] is [3.875, 19]:
3.875 ≤ f(x) ≤ 19
__
All of the answer choices are incorrect. Please discuss question this with your teacher.
Who can help me with this?
Answers
The original price of this car is equal to $6,600.
What is a percentage?In Mathematics, a percentage can be defined as any number that is expressed as a fraction of hundred (100). This ultimately implies that, a percentage indicates the hundredth parts of any given number.
Assuming the original price is represented by the variable x, we have the following:
12.5/100 × x = x - 5,775
0.125x = x - 5,775
5,775 = (x - 0.125x)
5,775 = 0.875x
x = 5,775/0.875
x = $6,600.
In conclusion, we can logically deduce that the percentage Pat Bain paid is 87.5%.
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For any positive integer n, the value of n! is the product of the first n positive integers. For example, 4! = 4 * 3 * 2 * 1 =24. What is the greatest common divisor of 5! and 7! ?
Answers
The GCD of 5! and 7! is 2^3 * 3^1 * 5^1 = 120.
the greatest common divisor of 5! and 7! is 120.
To find the greatest common divisor (GCD) of 5! and 7!, we need to factorize both numbers and identify the common factors.
First, let's calculate the values of 5! and 7!:
5! = 5 * 4 * 3 * 2 * 1 = 120
7! = 7 * 6 * 5 * 4 * 3 * 2 * 1 = 5,040
Now, let's factorize both numbers:
Factorizing 120:
120 = 2^3 * 3 * 5
Factorizing 5,040:
5,040 = 2^4 * 3^2 * 5 * 7
To find the GCD, we need to consider the common factors raised to the lowest power. In this case, the common factors are 2, 3, and 5. The lowest power for 2 is 3 (from 120), the lowest power for 3 is 1 (from 120), and the lowest power for 5 is 1 (from both numbers).
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Help! Write the slope-intercept form given the graph. PLEASE I NEED A ANSWER
Answers
The linear equation written in the slope-intercept form is:
y = (-3/5)*x
The correct option is C.
How to write the line on the graph?A general linear equation is written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
Here we can see that the line crosses through the poin (0, 0), so the y-intercept is 0.
b = 0
y = a*x + 0
y = a*x
To find the value of a, we can use another point on the graph.
We can see that the linear equation passes through (5, - 3), replacing these values:
-3 = a*5
-3/5 = a
Then the linear equation is just:
y = (-3/5)*x
The correct option is C.
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Nia plans to put enough money in the bank each week for 100 weeks so that the amount in the bank is always proportional to the week number. On week 8, she had $20.00. On week 12, she had $30.00. How much money will be in the savings account on week 100?
Answers
Answer:
$40
Step-by-step explanation:
2 1/2 times the week
8 x 2.5 = 20
12 x 2.5 = 30
40 x 2.5 = 100
Answer:
40$
Step-by-step explanation:
because 30.00 and 20.00 equal 50$ and you would subtract the quations and get 40$