Solve the equation below for y.
8x - 2y = 24
A. y= 4x - 12
B. y= 12 - 4x
C. y = 8x - 24
D.y = 4x - 8
The given equation, when solved for y gives y = 4x - 12.
Hence, option A is correct.
Given is an equation 8x - 2y = 24, we need to solve for y.
To solve the equation for y, you need to isolate y on one side of the equation.
Let's do that step by step:
Start with the original equation:
8x - 2y = 24
Get rid of the constant term on the left side by subtracting 8x from both sides:
-2y = -8x + 24
Now, we want to solve for y, so we need to get rid of the coefficient of y (-2).
To do that, divide both sides by -2:
y = (-8x + 24) / -2
Simplify the right side of the equation:
y = -8x / -2 + 24 / -2
Simplify further:
y = 4x - 12
So, the solution for y is:
A. y = 4x - 12
Learn more about Equations click;
https://brainly.com/question/10724260
#SPJ6
Jared is 10 years old and Peter is 15 years old. Together they run 150 yards. How far does each brother run.
What is the length of the hypotenuse of a right triangle with leg lengths of 8 inches and 15 inches?
A. 13 inches
B. 17 inches
C. 21 inches
D.25 inches
Answer:
B.17 INCHESStep-by-step explanation:
Answer:
the answer is B
Step-by-step explanation:
just helping the other guy get brainliest.
Solve the inequality W > Y plus H all divided by P for H.
Answer:
WP − Y > H
Step-by-step explanation:
I did the test and got it right
Laura is baking a cake. The recipe says that she has to mix 64 grams of chocolate powder to the flour. Laura knows that 1 cup of that particular chocolate powder has a mass of 128 grams. She added two over three of a cup of chocolate powder to the flour. Should Laura add more chocolate powder to make the exact recipe or did she go over and by what amount?
She went over by one over three of a cup
She needs to add one over three of a cup
She needs to add one over six of a cup
She went over by one over six of a cup
Which shows the conversion of 0.56 mm to inches?
There is 0.03937 inch in 1 millimeter.
A.
0.56 mm × 0.03937 in./mm = 0.022 inches
B.
0.56 mm × 0.03937 in./mm = 2.2 × 10^-3 inches
C.
0.56 mm + 0.03937 in./mm = 0.59937 inches
D.
0.56 mm ÷ 0.03937 in./mm = 14.22 inches
Please!!!!!!!!! I need this answers ASAP Pleas !!!!!!!!
Question 1
If y varies directly with x and y = 4 when x = 12, then what is the value of y when x = 60?
Question 2
If y varies directly with x and y = 3 when x = 12, then what is the value of y when x = 40?
Question 3
Suppose p varies directly with d, and p = 7 when d = 3. What is the value of d when p = 28?
Question 4
What is the direct variation equation for the table of ordered pairs?
x y
80 56
90 63
100 70
Question 5
What is the direct variation equation for the table of ordered pairs?
x y
60 48
70 56
80 64
Answer:
1) 20
2) 20
3) 12
4) 0.7
5)0.8
Step-by-step explanation:
when it asks questions like question 1 and 2 and 3 just take what the number is multiplied by
The table below shows the temperature (in °F) t hours after midnight in Phoenix on March 15. The table shows values of this function recorded every two hours.
Estimate the value of T′(8). Give units in your answer.
What is the meaning of T′(8)?
t 0 2 4 6 8 10 12 14
T 73 73 70 68 73 80 86 89
We need to estimate the value of T'(8) and then we need to give the meaning of this value. Since we have a table and not an expression of a function our goal is to find the Average Rate of Change between two points.
For a nonlinear graph whose slope changes at each point, the average rate of change between any two points [tex](x_{1},f(x_{1}) \ and \ (x_{2},f(x_{2})[/tex] is the slope of the line through the two points. So:
[tex]ARC=\frac{f(x_{2})-f(x_{1})}{x_{2}-x_{1}} =\frac{Change \ in \ y}{Change \ in \ x}=m_{sec}[/tex]
1. Estimated value of T′(8).
T'(8) means the derivative of the function T(t) when t = 8 hours. So, we can estimate this value using the average rate of change:
[tex]ARC=\frac{T(8)-T(6)}{8-6} =\frac{73-68}{8-6}=\frac{5}{2} \ degrees \ per \ hours[/tex]
2. The meaning of T′(8)
This means the average temperature after midnight in Phoenix on March 15, from t = 6 to t = 8 hours, that is, for each hour the temperature rises 5/2 degrees on the Fahrenheit scale. The points have been plotted in the Figure bellow.
The rate of change of the temperature is 3 degrees Celsius per hour. This response means that temperature has an instantaneous increase rate of 3 degrees Celsius per hour at [tex]t = 8\,h[/tex].
We can estimate the rate of change of the temperature, in degrees Celsius per hour, by calculating the average of two consecutive secant lines, whose expression is presented below:
[tex]T'(t) \approx \frac{1}{2}\cdot \left[\frac{T(t+\Delta t)-T(t)}{\Delta t} + \frac{T(t)-T(t-\Delta t)}{\Delta t} \right][/tex] (1)
If we know that [tex]\Delta t = 2[/tex], [tex]T(6) = 68[/tex], [tex]T(8) = 73[/tex] and [tex]T(10) = 80[/tex], then the estimated value of the rate of change of the temperature is:
[tex]T'(8) = \frac{1}{2}\cdot \left[\frac{80-73}{2}+\frac{73-68}{2} \right][/tex]
[tex]T'(8) \approx 3\,\frac{^{\circ}C}{h}[/tex]
The rate of change of the temperature is 3 degrees Celsius per hour. This response means that temperature has an instantaneous increase rate of 3 degrees Celsius per hour at [tex]t = 8\,h[/tex].
We kindly invite to check this question on rates of change: https://brainly.com/question/18904995
Help!!!!!: Ben opened a credit card at a department store with an APR of 27.99% compounded monthly. What is the APY on this credit card?
2.33%
31.88%
39.27%
55.98%
Answer:
31.88%
Step-by-step explanation:
The monthly added compound interest will be:
3.89 %
The new APY interest on the credit card = 3.89 + 27.99
= 31.88 %
why must s-phase occur before mitosis?
...?
A baseball that usually cost $65 is on sale for $55.25. what is the percent off?
logarithm equation. Show the steps to solve. 400/1+e^-x=350
graph of y=3 tan x ...?
Which expression has the most number of significant figures?
A. 190
B. 1.8
C. 26
D. 206
what does the expression 15 - 3[2+6 (-3] simplify to?
I need help on geometry proofs<br />
Which polynomial expression represents the area of the outermost square tile, shown below?
A square shaped tile with length x plus three is shown
x2 + 6x + 6
x2 + 9x + 6
x2 + 6x + 9
x2 − 6x + 9
Answer:
The correct answer is C, "x2 + 6x + 9."
Step-by-step explanation:
I just got it correct on the test.
Final answer:
To find the area of a square tile with sides of length x + 3, we square the binomial, resulting in the polynomial expression x² + 6x + 9, which represents the area of the square tile.
Explanation:
The question asks which polynomial expression represents the area of a square tile with sides of length x + 3. To find the area of a square, you multiply the length of one side by itself. In this case, the length of each side of the square is (x + 3), so the area of the square is (x + 3)(x + 3), or (x + 3)².
To expand this expression, we use the formula for squaring a binomial: (a + b)² = a² + 2ab + b². Applying this formula to our expression, we get:
a = x
b = 3
(x + 3)² = x² + 2(3)x + 3²
(x + 3)² = x² + 6x + 9
Therefore, the correct polynomial expression that represents the area of the square tile is x² + 6x + 9.
A projectile is thrown upward so that its distance above the ground after t seconds is given by the function h(t) = -16t2 + 640t. After how many seconds does the projectile take to reach its maximum height? Show your work for full credit.
to express the polynomial d^2+d^3-d+3 in standard form, which term should be written first?
*the quartic term
*the constant term
*the cubic term
*the quadratic term ...?
Answer:
Option 3- the cubic term
Step-by-step explanation:
Given : Polynomial [tex]d^2+d^3-d+3[/tex]
To find : To express the polynomial in standard form, which term should be written first?
Solution :
The given polynomial [tex]d^2+d^3-d+3[/tex]
The standard form of polynomial is arranged according to the higher degree to the lowest degree.
The degree is the power, first the higher degree then the lower and last the constant term.
In our given polynomial the highest degree is 3 so it is the first term of the polynomial.
The standard form is [tex]d^3+d^2-d+3[/tex]
Therefore, The required result is the cubic term is written first.
A video rental company offers a plan that includes a membership fee of $6 and charges $2 for every DVD borrowed. They also offer a second plan, that costs $48 per month for unlimited DVD rentals. If a customer borrows enough DVDs in a month, the two plans cost the same amount. What is that total cost of either plan? How many DVDs is that?
Write the fraction as a percent. If necessary, round to the nearest tenth of a percent. 18/25
47.3%
48.6%
72%
73.4%
Which is larger 5 miles or 26,300 ft?
What is the radius of a sphere that has a surface area of 196π sq ft?
Is 69 a prime or composite number
Answer:
composite
divisible by 3,1,69,23
Have a nice day!
Step-by-step explanation:
This table represents an exponential function.
What is the ratio of outputs for any two inputs that are 2 apart?
Divide the larger output by the smaller output.
Enter your answer in the box as a decimal to the nearest hundredth.
This is how the table looks
Number of Years from Now Value of a Scooter ($)
0|45
1|48.24
2|51.71
3|55.44
4|59.43
Answer:
it is 1.15 the dude on top is right it is 1.15 i took the test and it 1.15
Step-by-step explanation:
The output of the defined number operation indicates the operations involved in the function.
The ratio of outputs for any two inputs that are 2 apart is approximately 1.149.
Reasons:
The table is presented as follows;
[tex]\begin{array}{|cc|c|}Number \ of \ years \ from \ Now&&Value \ of \ a \ Scooter\\0&&45\\1&&48.24\\2&&51.71\\3&&55.44\\4&&59.43\end{array}\right][/tex]
The ratio of the outputs for two inputs that are 2 apart, with the larger output divided by the smaller output are;
[tex]Between \ 0 \ and \ 2; \dfrac{51.71}{45} = 1.149 \overline 1[/tex]
[tex]Between \ 1 \ and \ 3; \dfrac{55.44}{48.24} \approx1.1493[/tex]
[tex]Between \ 2 \ and \ 4; \dfrac{59.43}{51.71} \approx 1.149294140[/tex]
Therefore;
The ratio of outputs for any two inputs that are 2 apart is approximately 1.149.
Learn more here:
https://brainly.com/question/15025740
let f(x) = x 8 and g(x) = x2 - 6x - 7. find f(g(2)). select one:a. -7b. -3c. 10d. 33
According to the diagram, a 13-foot ladder leans against a 12-foot wall. The distance from the base of the ladder to the base of the wall is 5 feet. Based on this information, which trigonometric ratio has the value 125?
tan C
cos C
tan A
sin A
The correct answer is tan A
Answer:
tan A
Step-by-step explanation:
Using the notation SOH CAH TOA
sin = opp/hyp
cos = adj/hyp
tan = opp/adj
from the triangle,
hyp = 13 while opp and adj are 12 and 5 respectively
therefore, the ratio 12:5
= tan = opp/adj = 12/5
Which graph shows the axis of symmetry for the function f(x) = (x – 2)2 + 1?
Answer:
B
Step-by-step explanation:
What is the side length of a cube with a volume of 4913 m3? m
In order to purchase a home, a family borrows $159,000 at 6.5% for 30 years. Use the table to find their monthly payment. Round the answer to the nearest cent.
a.
$954.00 c.
$1,186.14
b.
$1,006.47 d.
$1,276.36
Answer:
B
Step-by-step explanation: