What is the base of the exponential function?

PLS HELP ASAP I DONT HAVE TIME AND IT ALSO DETECT IF ITS RIGHT OR WRONG!

KatRina [158]

Answer:

37.5%

Step-by-step explanation:

I don't have a step-by-step explanation, and I don't know if this is right. It doesn't give me enough time to solve it. If an expert could check this, it would be highly appreciated!

3 0

2 years ago

The length of a rectangle exceeds its breadth by 7cm. if the length is decreased by 4cm and the breadth is increased by 3cm, the

riadik2000 [5.3K]

Answer:

16cm

Step-by-step explanation:

Let the breadth = x

The length exceeds = x + 7

The breadth increased = x + 3

Because it said the length decreased by 4 so, the length would be:

x + 7 - 4 = x + 3

Original area:

We learn that:

area = length * breadth

x*(x+7) = (x+3)*(x+3)

x^2 + 7x = (x+3)^2

x^2 + 7x = x^2 + 6x + 9 (We also learn that (a+b)^2 = a^2 + 2ab + b^2

x^2 - x^2 + 7x - 6x = 9

x = 9 (so the breadth = 9)

The length = x + 7 = 9+7 = 16(cm)

Hope this help you :3

7 0

3 years ago

yuko is volunteering at the food bank. He is creating thanksgiving food baskets to give to local families. He has 192 cornbread

Deffense [45]

Answer:

32 baskets
2 boxes of stuffing mix, 3 cans of vegetables, 6 cornbread muffins

Step-by-step explanation:

The greatest common factor (GCF) will be the greatest number of baskets yuko can create. We can examine the factoring of these numbers to see what it might be.

64 = 2^6

96 = 2^5 × 3

192 = 2^6 × 3

The unique factors are 2 and 3, and the lowest powers of each are 5 and 0, respectively. Then the GCF is ...

2^5 × 3^0 = 32 × 1 = 32

After the factor of 32 is removed from each of these numbers, we have ...

64 = 32·2 boxes of stuffing mix

96 = 32·3 cans of vegetables

192 = 32·6 cornbread muffins

These other factors are the numbers of the corresponding item that will be in each of the 32 baskets:

2 boxes of stuffing mix
3 cans of vegetables
6 cornbread muffins

6 0

2 years ago

when 6 is subtracted from the square of a number, the result is 5 times the number. Find the negative solution.

sveta [45]

When 6 is subtracted from the square of a number, the result is 5 times the number, then the negative solution is -1

<h3><u>Solution:</u></h3>

Given that when 6 is subtracted from the square of a number, the result is 5 times the number

To find: negative solution

Let "a" be the unknown number

Let us analyse the given sentence

square of a number = $a^2$

6 is subtracted from the square of a number = $a^2 - 6$

5 times the number = $5 \times a$

<em><u>So we can frame a equation as:</u></em>

6 is subtracted from the square of a number = 5 times the number

$a^2 - 6 = 5 \times a\\\\a^2 -6 -5a = 0\\\\a^2 -5a -6 = 0$

<em><u>Let us solve the above quadratic equation</u></em>

For a quadratic equation $ax^2 + bx + c = 0$ where $a \neq 0$

$x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

Here in this problem,

$a^2-5 a-6=0 \text { we have } a=1 \text { and } b=-5 \text { and } c=-6$

Substituting the values in above quadratic formula, we get

$\begin{array}{l}{a=\frac{-(-5) \pm \sqrt{(-5)^{2}-4(1)(-6)}}{2 \times 1}} \\\\ {a=\frac{5 \pm \sqrt{25+16}}{2}=\frac{5 \pm \sqrt{49}}{2}} \\\\ {a=\frac{5 \pm 7}{2}}\end{array}$

We have two solutions for "a"

$\begin{array}{l}{a=\frac{5+7}{2} \text { and } a=\frac{5-7}{2}} \\\\ {a=\frac{12}{2} \text { and } a=\frac{-2}{2}}\end{array}$

We have asked negative solution. So a = -1

Thus the negative solution is -1

6 0

3 years ago

-

kherson [118]

Answer:

$25.57

Step-by-step explanation:

First, you have to multiply $5.29 by 2 because she wants to spend $5.29 on 2 pairs of socks.

5.29 * 2 = $10.58

Then you want to add $10.58 and $14.99 together.

$10.58 + $14.99 = $25.57

3 0

3 years ago