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Nadusha1986 [10]
2 years ago
7

Explain and solve it

Mathematics
1 answer:
Nitella [24]2 years ago
4 0

Check the picture below.

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A rectangle with sides measuring x in. and 4x-1 in. has an area of 663in.^2. What are the dimensions of the rectangle?
serious [3.7K]

9514 1404 393

Answer:

  13 in by 51 in

Step-by-step explanation:

The area is the product of the dimensions, so is ...

  663 = x(4x -1)

  4x^2 -x -663 = 0 . . . . . . subtract 663 to put in standard form

Using the quadratic formula, we can find the solutions.

  x = (-(-1) ±√((-1)^2 -4(4)(-663)))/(2(4))

  x = (1 ± √10609)/8 = (1 ±103)/8

Only the positive solution is of any use in this problem, so ...

  x = 104/8 = 13

  4x-1 = 4(13)-1 = 51

The dimensions of the rectangle are 13 inches by 51 inches.

__

I find it easiest to solve these using a graphing calculator.

8 0
3 years ago
I WILL MARK 10/10 IF U GET ANSWER CORRCET!!10 Fill in the blanks to make each equation true.
ANTONII [103]

Answer:

a) 2.6

b) -15

c) 9

d) \frac{3}{10}-(-\frac{2}{3})=\frac{3}{10}+\frac{2}{3}=\frac{9}{30}+\frac{20}{30}=\frac{29}{30}

e) 1.26

Step-by-step explanation:

3 0
3 years ago
Please help me answer these questions if you give an answer you are a lifesaver
il63 [147K]
On Part A you have to subtract $2.39-$1.99. Then in Part B you have to multiply $4.50 by 2. And then I think you have to add $3.79 when u are done multiplying.
4 0
3 years ago
What is f–1(8)??<br><br> Please select the best answer
notka56 [123]

Answer:

f^{-1}(8)=\frac{3}{2}

Step-by-step explanation:

Given f(x)=2x+5

We have to find f^{-1}(8)

In order to find f^{-1}(x) we have to make x as the subject of the formula

Let us assume f(x)=y

⇒2x+5=y

Subtracting both sides by 5

2x+5-5=y-5

2x=y-5

Dividing both sides by 2

\frac{2x}{2}=\frac{y-5}{2}

⇒x=\frac{y-5}{2}

Now substituting y with x

we have f^{-1}(x)=\frac{x-5}{2}

Now f^{-1}(8)=\frac{8-5}{2}

=\frac{3}{2}

So option (ii) is correct


5 0
3 years ago
Read 2 more answers
A package of 36 photos costs $18. how many does it cost per photogragh ​
Simora [160]

Answer:

$0.50

Step-by-step explanation:

This is a simple equation. All you need to do is divide 18 by 36.

18/36 = 0.5

5 0
3 years ago
Read 2 more answers
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