Answer:
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Find the equation of the linear function represented by the table shown in slope-interceptform.
Given the table:
x y
-6 -4
-5 -9
-4 -14
-3 -19
-2 -24
Let's find the equation of the linear function reresented by the table shown in slope-intercept form.
Apply the slope-intercept form of a linear equation:
y = mx + b
Where m is the slo and b is the y-intercept.
To find the slope, apply the slope formula:
\(m=\frac{y2-y1}{x2-x2}\)Take any two points on the line:
(x1, y1) ==> (-6, -4)
(x2, y2) ==> (-5, -9)
Thus, we have:
\(\begin{gathered} m=\frac{-9-(-4)}{-5-(-6)} \\ \\ m=\frac{-9+4}{-5+6} \\ \\ m=\frac{-5}{1} \\ \\ m=-5 \end{gathered}\)The slope (m) = -5.
To find the y-intercept, substitite for -5 for m, then input the values of any point for x and y in (y = mx + b).
Take the point:
(x, y) ==> (-6, -4)
Hence, we have:
y = mx + b
-4 = -5(-6) + b
-4 = 30 + b
Subtract 30 from both sides:
-4 - 30 = 30 - 30 + b
-34 = b
b = -34
The y-intercept, (b) = -34.
To write the equation, subsutitute -5 for m and -34 for b in (y = mx + b)
Hence, the equation of the line is:
y = -5x - 34
ANSWER:
\(y=-5x-34\)A company is making new soccer uniforms for a team. The company uses 2.5 yards of fabric for each shirt. The company uses 82.5 yards of fabric to make shirts and shorts for 15 players. The equation and solution below represents the situation.
15 (2.5 + x) = 82.5; x = 3
What does the solution, x = 3, represent?
the total fabric needed for the shirts
Answer:
D
Step-by-step explanation:
Took test
Answer:
d
Step-by-step explanation:
plz give branlist
A 16 ounce bottle of orange juice says it contains 200 milligrams of vitamin C, which is 250% of the daily recommended allowance of vitamin C for adults. What is 100% of the daily recommended allowance of vitamin C for adults?
Answer:
there is 50% of vitamins
Step-by-step explanation:
Answer:
Step-by-step explanation:
80 milligrams
How many different sums of money can be made from 4coins of different denomination
Answer:
15 different sums----------------------
There are various combinations of coins.
1 coin:4 options2 coins:4C2 = 4!/(2!2!) = 6 options3 coins:4C3 = 4!/(3!1!) = 4 options4 coins: 1 optionIn total there are:
4 + 6 + 4 + 1 = 15 different sumsSandy works at a clothing store. She makes $8 per hour plus earns 10% commission on her sales. She worked 78 hours over the last two weeks and had a total of $2,795 in sales before taxes.
how much will she earn in hourly wages and commission for those two weeks?
PLEASE HELP FAST !!!!!
The distribution of pitches thrown in the
80 at-bats in a baseball game is as follows.
Pitches 1 2 3 4 5
Frequency 12 16 32 12 8
Find the relative frequency that the pitcher
will throw exactly 4 pitches in an at-bat.
?
Relative Frequency =
Do NOT simplify your answer.
The relative frequency of the pitcher throwing exactly 4 pitches in an at-bat is given as follows:
3/20.
How to calculate a relative frequency?A relative frequency is calculated as the division of the number of desired outcomes by the number of total outcomes.
The total number of at bats in this problem is given as follows:
80.
In 12 of them, the pitcher threw exactly four pitches, hence the relative frequency of the pitcher throwing exactly 4 pitches in an at-bat is given as follows:
12/80 = 3/20.
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When entering a power, you can use a caret (SHIFT-6).
Enter
as w^5:
Use the fraction tool (fraction tool) to enter the numerator and denominator.
Enter
:
The power expression "w^5" can be entered as "w^5".
To represent a power using the caret symbol, follow these steps:
Start with the base variable or term, in this case, "w".
Type the caret symbol (^), which can be accessed by pressing SHIFT-6 on your keyboard.
Immediately after the caret symbol, enter the exponent or power value, in this case, "5".
The resulting power expression "w^5" represents the variable "w" raised to the power of 5.
Regarding the use of the fraction tool, it is not required to represent the power "w^5" as it does not involve any fraction. The fraction tool is typically used to enter fractions or rational expressions in the form of numerator/denominator.
Therefore, to represent the power "w^5", simply write it as "w^5" without using the fraction tool.
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The Sugar Sweet Company will choose from two companies to transport its sugar to market. The first company charges $5500 to rent trucks plus an additional
fee of $200.25 for each ton of sugar.
The second company charges $4995 to rent trucks plus an additional fee of $225.50 for each ton of sugar.
For what amount of sugar do the two companies charge
the same?
What is the cost when the two companies charge the
same?
$
Let’s solve this problem by setting the cost of the two companies equal to each other and solving for the amount of sugar. Let x be the amount of sugar in tons.
The cost for the first company is 5500 + 200.25x and the cost for the second company is 4995 + 225.50x.
Setting these two expressions equal to each other, we get:
5500 + 200.25x = 4995 + 225.50x
Solving for x, we get:
25.25x = 505
x = 20
So, the two companies charge the same when the amount of sugar is 20 tons.
The cost when the two companies charge the same is:
5500 + 200.25 * 20 = $9505
So, when the two companies charge the same, the cost is $9505.
Received message. Let's solve this problem by setting the cost of the two companies equal to each other and solving for the amount of sugar. Let x be the amount of sugar in tons. The cost for the first company is 5500 + 200.25x and the cost for the second company is 4995 + 225.50x. Setting these two expressions equal to each other, we get: 5500 + 200.25x = 4995 + 225.50x Solving for x, we get: 25.25x = 505 x = 20 So, the two companies charge the same when the amount of sugar is **20 tons**. The cost when the two companies charge the same is: 5500 + 200.25 * 20 = $9505 So, when the two companies charge the same, the cost is **$9505**.
MARK ME BRAINLEISTI get see photo. I l ow this is wrong. Can you help?
Given the equation:
\(y=x^2+x-4\)We will find the value of (y) when ( x = 2i )
Note: i² = -1
so, when x = 2i
\(y=(2i)^2+(2i)-4\)Simplifying the answer
So,
\(\begin{gathered} y=4i^2+2i-4 \\ y=4\cdot(-1)+2i-4 \\ y=-4+2i-4 \\ y=-8+2i \end{gathered}\)So, the answer will be y = -8+2i
Juliet has a choice between receiving a monthly salary of $1900 from a company or a base salary of $1800 and a 5% commission on the amount of furniture she sells during the month. For what amount of sales will the two choices be equal?
Juliet will earn the same amount of money whether she chooses a monthly salary of $1900 from the company or a base salary of $1800 plus a 5% commission on furniture sales if her sales amount to $2000.
To find the amount of sales for which the two salary choices are equal, we set the equation for the base salary plus commission equal to the equation for the flat monthly salary. The equation can be written as:
1800 + 0.05x = 1900
where x is the amount of furniture sales in dollars.
Simplifying and solving for x, we get:
0.05x = 100
x = 2000
If she sells less than $2000 of furniture, she will earn more with the flat monthly salary of $1900. If she sells more than $2000 of furniture, she will earn more with the base salary plus commission. This calculation provides an important decision-making tool for Juliet, as she can tailor her salary choice based on her expected sales for the month.
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please help. its on zearn name the coordinates of each shape
Answer:
circle: 2, 1/2
square: 1 1/2, 3 1/2
triangle: 0, 4 1/2
Answer:
Square X-coordinate: 1 and 1/2
Square Y-coordinate: 3 and 1/2
Triangle X-coordinate: 0
Triangle Y-coordinate: 4 and 1/2
Step-by-step explanation:
If x = -2, y = 3 and t = 2 then (x/y)t =
Answer:
-4/3
Step-by-step explanation:
2(-2/3)
= -4/3
Answer:
\(( \frac{x}{y} ) \times t \\ \frac{ - 2}{3} \times 2 \\ = \frac{ - 4}{3} \)
Round this number to the nearest 100.
8
8,202 ≈
Find the Sum.
1820
Look at the tens digit of the number when rounding to the closest hundred.
What does a sum in math mean?Summation, also referred to as a sum, is the result of adding numerical values or quantities in mathematics. An even amount of terms always appear in a summation. Alternatively, there could be 100, 1000, and even a million terms. There might even be just two. The number of terms in some summations is limitless.
How does sum in addition work?The result or solution we obtain from adding two or more integers is known as the sum. Addends are the figures that are combined. In the example above, the sum of the addends, 6, and 4, is 10.
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Frank bought 6 bags of dog food and 7 bags of cat food for $74.50. Daisy bought 3 bags of dog food and 9 bags of cat food for $ 67.50 . How much does it cost for each bag of dog and cat food ?
Whats (c) ????????????? ????
Answer:
11
Step-by-step explanation:
yeah-ya............ right?
Check the picture below.
please help please please help 16 points
Answer:
1.6 = x axis || 2.5 = y axis
Step-by-step explanation:
each line is 0.5
PLZZZZZZZZZZ HURRRRYYYYY
Find the area A of the polygon with the given vertices.
A(−1,8), B(3,8), C(3,4), D(−1,4)
9514 1404 393
Answer:
16 square units
Step-by-step explanation:
The figure is a square with side lengths 4.
The area is 4×4 = 16 square units.
Help please
Condense to a single logarithm is possible
In(6x^9)-In(x^2)
The logarithm expression can be simplified to:
In(6x^9)-In(x^2) =7·ln(6x)
How to write this as a single logarithm?There are some logarithm properties we can use here.
log(a) - log(b) = log(a/b)
log(a^n) = n*log(a)
(these obviously also apply to the natural logarithm)
Now let's look at our expression, it says that:
In(6x^9)-In(x^2)
Using the first rule, we can rewrite this as.
In(6x^9)-In(x^2) = ln(6x^9/x^2)
Now solving the quotient in the argument:
ln(6x^9/x^2) = ln(6x^7) = 7·ln(6x)
That is the expresison simplified.
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2. How is the sentence "9 less than x is-1" written as an equati
Answer:
x - 9 = -1
Step-by-step explanation:
When you see less than you switch the numbers. So, for instance, it says 9 less than x means x-9
what is the range of the following data 7,5,9,10,1,2,2,8
Answer:
9
Step-by-step explanation:
In an aquarium, there are 6 large fish and 8 small fish. Half of the small fish are red.
One fish is selected at random. Find the probability that it is a small, red fish.
Write your answer as a fraction in simplest form.
Answer:
2/7
Step-by-step explanation:
There are 14 fish and 4 of them are small, red ones.
P(small red fish) = 4/14 = 2/7
A bakery sells 6 lemon poppy muffins for every 1 bran muffin sold. Which table represents the relationship between lemon poppy and bran muffins?
The table that represents the relationship between lemon poppy and bran muffins is table C.
What is a proportional relationship?The requirement for a proportional relationship is that, regardless of the order of the relationship, if the function of x increases, then x increases as well, or vice versa.
Proportional relationships are those in which the ratios of two variables are equal. Another way to think about them is that one variable in a proportional relationship is always a constant value multiplied by the other. This is known as the "constant of proportionality."
The relationship is illustrated in the third table.
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Say you buy 4 tomatoes and 5 carrots and you spend 476 dollars how much did they both cost?
When $\dfrac{2}{13}$ is written as a decimal, what is the $2000^\text{th}$ digit after the decimal point?
The 2000th digit after the decimal point is 5. See the explanation below.
What is the explanation that resolved the above problem?
First, we divide the fraction to get the decimal number.
2/13 = 0.15384615384
Paying close attention, you'd notice that after the 6th number forms the decimal point, the number forms a loop that repeats again. That is:
0.153846 153846 154...
Hence, to detect the 2000th number,
we divide 2000/6
we are left with 2
(that is 333 x 6 = 1998)
Hence we count two from the decimal and that gives us the 2000th digit.
That is: 5
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Full Question:
\(When $\dfrac{2}{13}$ is written as a decimal, what is the $2000^\text{th}$ digit after the decimal point?\)
HELP PLS.
A textbook store sold a combined total of 370 math and chemistry textbooks in a week. The number of chemistry textbooks sold was 52 less than the number of math textbooks sold. How many textbooks of each type were sold?
NUMBER OF MATH TEXTBOOKS SOLD:
NUMBER OF CHEMISTRY BOOKS SOLD:
Answer:
number of math textbooks sold: 211
number of chemistry textbooks sold: 159
Step-by-step explanation:
let \(x\) be the number of math textbooks sold
let \(y\) be the number of chemistry textbooks sold
\(y=x-52\)
\(y+52=x\)
\(x+y=370\)
\(y+52+y=370\)
\(2y=318\)
\(y=159\)
\(x=159+52\)
\(x=211\)
if f(x)=2x2+5 then f(-3)=
The function f ( x ) = 2 x² + 5 will have the value 23 for f (- 3).
We are given the function:
f ( x ) = 2 x² + 5
We need to find the value of f ( -3 ).
We will do this by substituting the value of x = - 3 in the function and then evaluating the expression.
Putting x = -3 in the function, we get that:
f ( x = - 3 ) = 2 (- 3)² + 5
Solving the square, we get that:
f (- 3) = 2 ( 9 ) + 5
Simplifying the expression, we get that:
f (- 3) = 18 + 5
f (- 3) = 23
Therefore, we get that, the function f ( x ) = 2 x² + 5 will have the value 23 for f (- 3).
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In trapezoid PQRS, the lengths marked
are in feet. What is the area of the
trapezoid in square feet?
S
5
3
P 10
F.
44
G. 50
H. 62.5
J. 88
K. 100 dion
12
Q
R
The areas of the trapezoid is 50 units².
How to find the area of a trapezoid?The trapezoid PQRS have bases 10 and 12 units respectively. The height of the trapezoid is unknown. Let's find the area of the trapezoid as follows:
area of trapezoid = 1 / 2 (a + b)h
where
a and b are the basesh = height of the trapezoidTherefore,
a = 10 units
b = 15 units
Using Pythagoras's theorem,
5² - 3² = h²
h = √25 - 9
h = √16
h = 4 units
area of trapezoid = 1 / 2 (10 + 15)4
area of trapezoid = 1 / 2 × 25 × 4
area of trapezoid = 100 / 2
area of trapezoid = 50 units²
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interval of [0⁰,360⁰]
3 sin² tan 0-3 sin²0 = 0
20 points
Answer:
θ=41.3∘,138.7∘,221.3∘,318.7∘ Explanation: 3sin2θ−10(1−2sin2θ)=0 23sin2θ−10=0 s
Step-by-step explanation:
answer each question with work and reasoning
Answer:
30
Step-by-step explanation:
2 + 3 = 6
6 x 10 = 30
30 snowmen
Graph the point on the graph.
Answer:
see below
Step-by-step explanation:
To graph this equation, start at the origin (0,0) since there is not y-intercept.
Because slope is characterized by rise/run ( i.e. how many units up or down depending on whether it is positive or negative and then however many units to the right.
Because the rise (up and down, numerator) is 1, we know that we will go up one unit.
The run (side to side, denominator) is 4, so we will go to the right 4 units.
This makes the first point (4, 1).
Continue doing this until you get an idea of the line and connect the points to get the graph
Answer:
Info down in Explaination
Step-by-step explanation:
To graph this equation, start at the origin (0,0) since there is not y-intercept.
Because slope is characterized by rise/run ( i.e. how many units up or down depending on whether it is positive or negative and then however many units to the right.
Because the rise (up and down, numerator) is 1, we know that we will go up one unit.
The run (side to side, denominator) is 4, so we will go to the right 4 units.
This makes the first point (4, 1).
Continue doing this until you get an idea of the line and connect the points to get the graph