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Arlecino [84]
2 years ago
15

THIS IS A SYSTEMS OF EQUATIONS QUESTION-

Mathematics
1 answer:
Whitepunk [10]2 years ago
6 0

Answer: Equation 1, sum of the numbers: x + y = 53. Equation 2, difference of the numbers: x - y = 25. System of equations: x + y = 53. x - y = 25. 2x = 78.

Step-by-step explanation:

there you go

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The length of a rectangle is 8 feet more than its width. If the width is increased by 4 feet and the length is decreased by 5 fe
bezimeni [28]
Assign the following variables for the origina3l rectangle:
let w = width let w + 8 = length and the area would be w(w + 8) = w² + 8w

No for the second rectangle:
let (w + 4) = width and (w + 8 - 5) or (w + 3) = length
Area = length x width or (w + 4)(w + 3) = w² + 3w + 4w + 12 using the foil method to multiply to binomials. Simplified Area = w² + 7w + 12

Now our problem says that the two area will be equal to each other, which sets up the following equation:

w² + 8w = w² + 7w + 12 subtract w² from both sides
8w = 7w + 12 subtract 7w from both sides
w = 12 this is the width of our original rectangle
recall w + 8 = length, so length of the original rectangle would be 20
7 0
3 years ago
The accompanying table shows the value of a car over time that was purchased for
Dafna1 [17]

The value of the car after 11 years is $3137.18

<h3>exponential function</h3>

An exponential function is in the form:

y = abˣ

where a is the initial value of y, b is the factor, y, x are variables.

Let y represent the value of the car in dollars after x years. From the table:

When x  = 0, y = 12700, hence:

  • 12700 = ab°
  • a = 12700

When x = 2, y = 9849, hence:

  • 9849 = 12700b²
  • b = 0.8806

The exponential function is:

y = 12700(0.8806)ˣ

For 11 years:

y = 12700(0.8806)¹¹ = 3137.18

The value of the car after 11 years is $3137.18

Find out more on exponential function at: brainly.com/question/12940982

3 0
2 years ago
Find the surface area of the cylinder. radius of 6. height of 7.
Sauron [17]

Answer:

SA = 156π

Step-by-step explanation:

The formula for surface area of a cylinder is

SA = 2πr² + 2πrh   where r is the base radius, and h is the height.

We are given r = 6 and h = 7.  Plug in those values and evaluate...

SA = 2π(6²) + 2π(6)(7)

SA = 2π(36) + 2π(42)

SA = 72π + 84π

SA = 156π

3 0
3 years ago
Read 2 more answers
What is the term of a 7-term geometric series if the first term is -11 the last term is -45,056 and the common ratio is -4
shutvik [7]
I assume you mean to ask how to find the sum of the seven terms?

You have

a_2=ra_1
a_3=ra_2=r^2a_1
a_4=ra_3=r^3a_1
...
a_7=ra_6=r^6a_1

So the sum is

a_1+ra_1+r^2a_1+\cdots+r^6a_1=a_1(1+r+r^2+\cdots+r^6)=a_1\times\dfrac{1-r^7}{1-r}

You know that a_1=-11 and r=-4, so the sum is equal to

-4\times\dfrac{1-(-4)^7}{1-(-4)}=-13108
8 0
3 years ago
What is the equation of the line that has a slope of 3 and passes through the point (1, –2)?
lesya [120]

Answer:

y = 3x - 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 3 , thus

y = 3x + c ← is the partial equation

To find c substitute (1, - 2) into the partial equation

- 2 = 3 + c ⇒ c = - 2 - 3 = - 5

y = 3x - 5 ← equation of line

6 0
3 years ago
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