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3 years ago

Adelle solved the equation, 4x/7 - 6 = -20 , as shown.

Mathematics

1 answer:

Ne4ueva [31]3 years ago

8 0

Answer:

Step 1: Given

Step 2: Add 6 on both sides

Step 3: Multiply 7 on both sides

Step 4: Divide by 4 on both sides

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For the following exercises, determine whether each of the following relations is a function.

RSB [31]

Answer:

The relation {(2,1),(3,2),(-1,1),(0,-2)} is a function because the domain {2,3,-1,0} and range {1,2,1,-2} of the relation is paired exactly only once.

Step-by-step explanation:

The given relation is {(2,1),(3,2),(-1,1),(0,-2)}.

It is required to determine the relation is a function.

Step 1 of 1

The given relation is {(2,1),(3,2),(-1,1),(0,-2)}.

This relation shows that the domain of the relation {2,3,-1,0} is paired with one element of the range {1,2,1,-2}.

Hence, the relation is a function.

7 0

2 years ago

Explain how to solve 2^x + 1 = 9 using the change of base formula log base b of y equals log y over log b. Include the solution

elena55 [62]

Answer:

$x=2.170$

Step-by-step explanation:

The given equation is $2^{x+1}=9$ .

We take logarithm of both sides to base 2 to get:

$\log_2(2^{x+1})=\log_29$

Apply the power rule of logarithms to get:

$x+1=\log_29$

We now apply the change of base formula:

$x+1=\frac{\log_{10}9}{\log_{10}2}$

$x+1=\frac{0.9542}{0.3010}$

$x+1=3.1701$

$x=3.1701-1$

$x=2.1701$

To the nearest thousandth, $x=2.170$

7 0

3 years ago

The area of a rectangle is 21 yd.² and the length of a rectangle is 1 yard or less than twice the width find the dimensions of t

emmasim [6.3K]

Answer:

length = 6 yards

width = 3.5 yards

Step-by-step explanation:

the length of a rectangle is 1 yard less than twice the width

LEt 'w' be the width of the rectangle

and 'l' be the length of the rectangle

length l = 2 times the width -1

so l = 2w -1

Area of the rectangle = length * width

Area = l * w

we know length is 2w-1 and given area = 21

21 = (2w-1) * w

$21= 2w^2 - w$

subtract 21 on both sides

$0= 2w^2 - w - 21$

now solve for 'w'

$0= 2w^2 +6w -7w- 21$

0 = 2w(w+3)-7(w+3)

0= (2w-7)(w+3)

2w-7 = 0 and w+3 =0

w = 7/2 w=-3

width cannot be negative so we ignore w=-3

width w= 3.5

length = 2w-1= 2(3.5) - 1= 7-1=6

length = 6 yards

5 0

4 years ago

What is the value of X if 9^x^-^1-2=25?

nadezda [96]

Answer:

$\frac{5}{2}$

Step-by-step explanation:

First, add two to both sides to get $9^{x-1}=27$

There are two ways to solve this from here

Think about what power you would have to raise 9 to to get to 27. $9^{\frac{1}{2}}$ = 3 and $3^3=27$ . So, multiplying the powers (because it is a power to a power) you get $9^{\frac{3}{2}}=27$ . This means that $x - 1 = \frac{3}{2}$ or x = $\frac{5}{2}$ .
Take the log of both sides.

This gives us $\log_9(27)=x-1\\\log_9(27)+1=x\\\log_9(3^3)+1=x\\3\log_9(3)+1=x\\3(\frac{1}{2})+1=x\\\frac{3}{2}+1 = x\\\\\frac{5}{2} = x$

4 0

3 years ago

Jacobs & Johnson, an accounting firm, employs 15 accountants, of whom 9 are CPAs. If a delegation of 4 accountants is random

Artemon [7]

1st acc = 6/14 chance
2nd acc = 5/13 
3rd acc = 4/12 

6/14 * 5/13 * 4/12 = 0.0549450549 

round to 3 decimal places ==> 0.055
Please put me on brainlest if its correct! Thank you!

7 0

3 years ago