In the box below, describe the graph. 3x+4y
The graph of the equation 3x + 4y = 0 is a straight line with a negative slope passing through the origin.
The given equation, 3x + 4y = 0, represents a linear graph in the Cartesian coordinate system. Let's analyze its characteristics.
First, note that the equation is in the standard form for a linear equation, which is Ax + By = C, where A, B, and C are constants. In this case, A = 3, B = 4, and C = 0.
To graph this equation, we can rewrite it in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept. By isolating y, we have y = (-3/4)x + 0. Since the y-intercept (b) is 0, the line intersects the y-axis at the origin (0,0).
Next, we can examine the slope. The coefficient of x, -3/4, represents the ratio of the change in y (vertical) to the change in x (horizontal) as we move along the line. In this case, the slope is negative, indicating that the line descends from left to right. The magnitude of the slope, 3/4, implies that for every 4 units moved horizontally to the right, the line goes 3 units down vertically.
Therefore, we can conclude that the graph of the equation 3x + 4y = 0 is a straight line passing through the origin (0,0) with a negative slope. It extends indefinitely in both directions, with the line getting steeper as we move to the right.
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If you vertically stretch the square root parent function, F(x)=√x, by four
units, what is the equation of the new function?
OA. G(x) = 4√√x
OB. G(x)=√x - 4
OC. G(x) = √4x
OD. G(x)=√x+4
Answer:
Hope this helps ;)
Step-by-step explanation:
If you stretch the square root function F(x)=√x vertically by four units, the new function can be represented by the equation:
G(x) = 4 * √x
This can be written as:
G(x) = 2 * √(2x)
Alternatively, you can write the equation as:
G(x) = √(4x)
Either way, the vertical stretch of the square root function by four units is given by the equation G(x) = 4 * √x or G(x) = 2 * √(2x) or G(x) = √(4x).
What is a multiplication table
Answer:
a table of products of two factors especially the integers 1 to 12 have a nice day
Step-by-step explanation:
:)
please solve it it's urgent
The length of BL is approximately 7.9 units.
In triangle ABL, we are given that AL = 12, TS = 7.75, and SL = 5.1. We need to find the length of BL.
Since TS is parallel to AL, we can use the concept of similar triangles to solve this problem.
By drawing a line parallel to BL through point T, we create two similar triangles: triangle TSL and triangle ABL. The corresponding sides of similar triangles are proportional.
Let's denote the length of BL as x. Then we can set up the following proportion:
TS/AL = SL/BL
Substituting the given values:
7.75/12 = 5.1/x
To solve for x, we can cross-multiply and solve the resulting equation:
7.75 * x = 12 * 5.1
7.75x = 61.2
Dividing both sides of the equation by 7.75:
x = 61.2 / 7.75
x ≈ 7.9
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The graph shows that you are earning money at your part-time job at a constant rate. Which of these statements is NOT true?
Step-by-step explanathat one is true
A swim team has 80 swimmers the first year and 90 swimmers the second year. What percent or increase do they experience over these first two years?
2%
10%
11.25%
12.5%
The increase in the percentage that they experience over these first two years will be 12.5%. Then the correct option is D.
What is the percentage?The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol 'percent' is used to symbolize it.
A swim team has 80 swimmers in the first year and 90 swimmers in the second year.
Then the increase in the percentage that they experience over these first two years will be
P = (90 - 80)/80 x 100
P = 10/80 x 100
P = 0.125 x 100
P = 12.5%
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Each can of paint covers 933 square inches. How many cans does Katie need to buy to paint the toy chests? Show how you found your answer.
Answer:
2 cans exactly
Step-by-step explanation:
I wrote this all in my notebook
A=13x16208
B=25X13=325
C=25X16=400
D25X13=325
E13X16=208
F=25X16=400
When Added All Together We Get 1866, 1866÷933=2
4. A car uses 5 gallons of gas for every 120 miles it travels. a. Complete the table. Graph the values. Gas (gal) 20 Distance (mi) 120 360 b. How many gallons of gas does the car use if it travels 600 miles? c. How far can the car travel if it uses 30 gallons of gas?
Answer:
14400 gallons of gas
Step-by-step explanation:
The graph of f is translated a whole number of units horizontally and vertically to obtain the graph of h
The function f is defined by f(x) = square root of x
Write down the expression for h(x).
The expression for h(x) is,
⇒ h (x) = √(x - 2) + 4
Now, Given that;
Initially the graph f (x) is shifted horizontally to the right.
When the graph shifts to right the function then becomes
f (x) → f (x-b)
Where b is the units by which it is shifted towards right .
So, in the figure we can see that it is shifted 2 units to the right .
So, f(x) → f(x-2)
Since f(x) is,
⇒ f (x) = √x
So, f (x-2) = √x - 2
Now, the new obtained graph is again shifted vertically upward
When the graphs shifts upward;
⇒ f(x) → f(x) + b
where b is the units by which it is shifted upward
So, our obtained f(x-2) when shifted upward by 4 units so using the above given transformation of upward shift
i.e. f(x) → f(x) + b
So, Our new graph h(x) = f(x-2) + 4
⇒ h (x) = √(x - 2) + 4
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Lydia has four straws of different lengths, and she is trying to form a right triangle. The lengths are 8, 9, 15, and 17 units. Which three lengths should she use? Justify your answer.
The set of 3 lengths that make a right triangle is {8, 15, 17}
Which three lengths should she use?Remember that for any right triangle, the sum of the squares of the two shorter sides must be equal to the square of the longer side.
So if the 3 sides are A, B, and C, such that:
A < B < C
We will have:
A² + B² = C²
Now you only need to try sets of 3 values in that equation, if we use: 8, 15, and 17 we will have:
8² + 15² = 17²
289 = 289
That equationis true, thus, these 3 lengths make a right triangle.
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100 points and I will give brainlist but before I get released, I have to verify answers
A simplification of the fractions (-5/8) ÷ (-3/4) is equal to: B. -20/24.
The step in which Johnetta made her error include the following: A. step 1.
What is a fraction?In Mathematics and Geometry, a fraction simply refers to a numerical quantity (numeral) which is not expressed as a whole number. This ultimately implies that, a fraction is simply a part of a whole number.
Based on the information provided above, the division can be calculated as follows;
Fraction = (-5/8) ÷ (-3/4)
Fraction = -5/8 × (-4/3)
Fraction = -20/24
For Johnetta, we have:
Fraction = 7/9 ÷ 3/8
Fraction = 7/9 × 8/3
Fraction = 56/27
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find the range of values of m for which line y = 5-mx does not meet Intersect the curve x² + y = 16
Answer:
Δ\(=(-m)^2-4\) \(\bullet\left(-11\right) > 0\)\(\ ,the\ number\ of\ intersection:\) \(2,intersection:\) \(\left(\frac{m}{2}+\frac{\sqrt{44+m^2}}{2},5-\frac{m\left(m+\sqrt{44+m^2}\right)}{2}\right)\)\(,\left(\frac{m}{2}-\frac{\sqrt{44+m^2}}{2},5-\frac{m\left(m-\sqrt{44+m^2}\right)}{2}\right)\)
Step-by-step explanation:
\(Analyze\ the\ intersection\ of\ y=5-mx\ and\\)
\(x^2+y=16:\)
\(\downarrow\)
Δ\(=(-m)^2-4\bullet\left(-11\right) > 0\ ,the\ number\ of\)
\(intersection:\ 2,intersection:\)
\(\left(\frac{m}{2}+\frac{\sqrt{44+m^2}}{2},5-\frac{m\left(m+\sqrt{44+m^2}\right)}{2}\right),\)
\(\left(\frac{m}{2}-\frac{\sqrt{44+m^2}}{2},5-\frac{m\left(m-\sqrt{44+m^2}\right)}{2}\right)\)
I hope this helps you
:)
What value of X makes the 2 fractions equivalent 6/7 = 91/X
In order to find the value of x, let's solve this expression isolating the variable x:
\(\begin{gathered} \frac{6}{7}=\frac{91}{x} \\ \\ 6\cdot x=7\cdot91 \\ x=\frac{7\cdot91}{6} \\ x=106.17 \end{gathered}\)So the value of x to make the fractions equivalent is x = 106.17.
Six students write an exam. The average score obtained on the exam by the group of students is 71%. If the first two students each obtained a mark of 73%, while the next three students each obtained a mark of 68%, what was the mark obtained by the sixth student?
There is a bag with only red marbles and blue marbles.
The probability of randomly choosing a red marble is
7/10
There are 42 red marbles in the bag and each is equally likely to be chosen.
How many marbles in total must there be?
Answer:
There are 60 marbles in the bag
Step-by-step explanation:
The total number of marbles times the probability of red marbles = number of red marbles
total * 7/10 = 42
Multiply each side by 10/7
total * 7/10 * 10/7 = 42*10/7
total
60
There are 60 marbles in the bag
Simplify using the order of operations. 2+6*8=
Answer:
The answer is 50.
Step-by-step explanation:
Use MDAS
Multiplication, Division, Addition and Subtraction
2 + 6 * 8 =
Multiply first then add
2 + 6*8 = ?
= 2 + 48
= 50
The total cost of 5 kg rice and 6 kg sugar is Rs 940. If the
rate of rice increases by 20% and the rate of sugar decreases
by 10%, the total cost of 4 kg rice and 3 kg sugar will be
Rs 627. By what percent the cost of 1 kg rice is more or less
than the cost of 1 kg sugar. Find it.
The percent cost of 1 kg rice is less than the cost of 1 kg sugar by 11 1/9%.
What is percent increase?We first calculate the difference between the original value and the new value when comparing a rise in a quantity over time. The relative increase in comparison to the initial value is then determined using this difference, and it is expressed as a percentage.
Let the cost price of rice is R and cost price of sugar is S.
Case 1 : total cost of 5 kg rice and 6 kg sugar is Rs. 940.
5R + 6S = 940 ...(1)
Case 2 : rate of rice increased by 20% and the rate of sugar decreased by 10%.
The new cost price of rice = R + 20% of R = 1.2R
The new cost price of sugar = S - 10% of S = 0.9S
So, the total cost of 4 kg rice and 3 kg sugar will be Rs. 627.
Thus,
4 × 1.2R + 3 × 0.9S = 4.8R + 2.7S = 627 ..(2)
From equations (1) and (2) we have,
(5R + 6S)/(4.8R + 2.7R) = 940/627
R/S = 8/9
Hence, if the price of rice is 8 then the price of sugar is 9.
It is clear that the price of sugar is more than that of rice.
The percent cost by which cost of rice is less than sugar is:
(9 - 8)/ 9 (100) = 11 1/9%.
Hence, the cost of 1 kg rice is less than the cost of 1 kg sugar by 11 1/9%.
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Chloe's compact car has a mileage rating of 30 mpg on the highway. She has 9 gallons
remaining in her gas tank. What is the estimated range of the vehicle before it runs
out of fuel?
33 miles
51 miles
300 miles
270 miles
Step-by-step explanation:
30 mi/gal * 9 gal = 270 mles
Roast beef has 25 g of protein and 11 g of calcium per serving. A serving of mashed potatoes has 2 g of protein and 25 g of calcium. Set up and solve a system to show how many servings of each are needed to supply exactly 29g of protein and 61 g of calcium.
Step-by-step explanation:
your answer
mark me a brainlistDivide : (36
5 + 48
3
) (−12
3
).
Answer:
-9
Step-by-step explanation:
If you meant (36 5 + 48 3 ) / (−12 3 ) then the answer should be -9
c(x)=2x^3+3x^2-1 find rational zeros
Answer:
1/2
Step-by-step explanation:
The Rational Root Theorem says that any rational root has
1. a numerator that is a factor of the constant term
2. a denominator that is a factor of the leading coefficient (that's attached to the highest-power term)
Numerator: \(\pm 1\)
Denominator: \(\pm 2\)
That means there are only two possible rational roots: \(\pm \frac{1}{2}\)
Try them both by plugging them into the polynomial.
\(2\left(\frac{1}{2}\right)^3 + 3\left(\frac{1}{2}\right)^2 -1= \frac{1}{4}+\frac{3}{4}-1 =0\)
Aha! The negative one-half value does not produce 0
Simplify the following fractions
8/24
8/32
6/30
12/24
9/21
5/20
Answer:
for 8/24 the answer will be 1/3.
and for 8/32 the answer will be 1/4.
and for 6/30 the answer will be 1/5.
and for 12/24 the answer will be 1/2.
and for 9/21 the answer will be 3/7.
and for 5/20 the answer will be 1/4
Step-by-step explanation:
I need help I’m going to open a Business soon so nabeel sandbox is 7 feet wide, 5 feet long and 2 feet deep. What is the volume of the sandbox
Answer:
The volume of the sandbox is 70.
To find the volume, you multiply length, width, and height.
at a price of $40 per item, 120 items are demanded by consumers, but at a price of $70 per item, only 45 items are demanded. find the linear demand function, p(x), for this item. enter your answer in slope-intercept form, using exact numbers. p(x)
The linear demand function, p(x), for this item using slope-intercept form is P(x) - 40 = 7/15(x - 120).
Without needing to create a demand function graph, demand curves can be calculated using an algebraic method for a linear demand function. Demand functions can be expressed in a variety of ways, but they typically follow the form Qd = a - b(P), where P stands for price. The quantity needed is known as Qd.
At a price of $40 per item 120 items are demanded but at $75 only 45 items are demanded.
Here,
m = 75 - 40/45 - 120
m = -35/75
So linear demand function is,
P(x) - 40 = m(x-120)
P(x) - 40 = -35/75 (x-120)
P(x) - 40 = 7/15(x - 120)
So required linear demand function is,
P(x) - 40 = 7/15(x - 120)
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Y=-2x²-4 solve for y when x=3
Answer:
Y=-58
Step-by-step explanation:
Y=-2(3)^(2)-4
Y=-2(3*3*3)-4
Y=-2(27)-4
Y=-54-4
Y=-58
what is the answers to this question
By evaluating the quadratic equation, we will see that the values of the expressions are:
f(-1) + f(4) = 27
f(-1) - f(4) = -35
How to evaluate the given expressions?Here we need to work with the quadratic function:
f(x) = x^2 + 6x + 1
First, we want to find the value of the expression:
f(-1) + f(4)
To get that, we need to evaluate the quadratic equation:
f(-1) = (-1)^2 + 6*(-1) + 1
f(-1) = 1 - 6 + 1 = -4
f(4) = 4^2 + 6*4 + 1
f(4) = 16 + 24 + 1 = 31
Then the first expression is:
f(-1) + f(4) = -4 + 31 = 27
The second expression is:
f(-1) - f(4)
We already know these values, we can replace these to get:
f(-1) - f(4) = -4 - 31 = -35
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What’s the value of x for a-d?
Answer:
a = 76 b = 22 c = 58 d = 68
Step-by-step explanation:
A. 180 - 133 = 47
so you have two angles found, which is 57 and 47. Add them together and subtract from 180. You get 76
B. 68 + 90 = 158
You subtract the 158 from 180 and get 22
C. This took some guess work, but when you multiply 58 by 2 you get 116. When subtracted from 180 you get 64. If you add 58 + 58 + 64, you get 180, so this made sense
D. There's an actual rule in trig that explains this, but I forgot it. If you look at the top angle, the other side of the line added to the 68 is a right angle. So you subtract 68 from 90 and get 12. Because there is already the right angle in the triangle, you just need the other two angles to equal 90, and because of the 68 that we found in the other triangle, this made sense.
Sorry, not the best at explanations. Hope that helped
The mean life of a new smart LED bulb is 20,000 running hours with a standard deviation is 2,250 hours. The data is normally distributed. If a home improvement store sold 18,000 of these light bulbs in the first year of production, how many light bulbs would you expect to last longer than 22,250 hours?
Answer: The expected number of bulbs that would last longer than 22,250 hours is approximately 2,857.
Step-by-step explanation:
To solve this problem, we can start by finding the z-score for 22,250 using the formula:z = (x - mean) / standard deviationz = (22,250 - 20,000) / 2,250 = 1Next, we need to find the proportion of bulbs lasting longer than 22,250. We can look up this proportion in a standard normal distribution table or use a calculator, which gives us a probability of 0.1587.Finally, we can use this probability to find the expected number of bulbs that will last longer than 22,250:Expected number of bulbs = probability * total number of bulbs sold Expected number of bulbs = 0.1587 * 18,000 = 2,857Therefore, we can expect that approximately 2,857 of the 18,000 bulbs sold will last longer than 22,250 running hours.
Answer:
the afternoon is the right one
Marking brainiest
Jessica melts 200 grams of dark chocolate that contains 60% cocoa and mixes it with 200 grams of milk chocolate that contains 30% cocoa
What is the concentration of cocoa in the resulting mixture?
Answer:
45%
Step-by-step explanation:
200g milk chocolate
200g dark chocolate
= 400g of chocolate
x = the %
x/100 = 180/400
18000 = 400x
x = 45
45%
Hello! Find Domain and range, thank you :-)