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Lesechka [4]
3 years ago
11

What is the solution to the equation 5(x + 4) = 5x – 3?

Mathematics
2 answers:
vodka [1.7K]3 years ago
8 0

Answer: C, there is no solution

Step-by-step explanation:

First you want to distribute on the left side of the equation. 5(x+4) = 5x - 3 when distributed becomes 5x + 20 = 5x - 3. Next you want to get rid of the variable on one side, but since its the same, when you subtract 5x from both sides you get 20 = -3, which is not equal, meaning there is no solution.

Alex73 [517]3 years ago
6 0

5(x+4)=5x-3\\5x+20=5x-3\\5x+20-5x+3=0\\0+23=0\\23=0

So the answer is C. There is no solution, because the equation is false

A and B choices both have the answer, the value of x.

D choice only when the equation is true like 2=2.

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Drag each tile to the correct box.
Natasha_Volkova [10]

Answer:

1) Function h

interval [3, 5]

rate of change 6

2) Function f

interval [3, 6]

rate of change 8.33

3) Function g

interval [2, 3]

rate of change 9.6

Step-by-step explanation:

we know that

To find the average rate of change, we divide the change in the output value by the change in the input value

the average rate of change is equal to

\frac{f(b)-f(a)}{b-a}

step 1

Find the average rate of change of function h(x) over interval [3,5]

Looking at the third picture (table)

f(a)=h(3)=4  

f(b)=h(5)=16

a=3

b=5

Substitute

\frac{16-4}{5-3}=6

step 2

Find the average rate of change of function f(x) over interval [3,6]

Looking at the graph

f(a)=f(3)=10  

f(b)=f(6)=35

a=3

b=6

Substitute

\frac{35-10}{6-3}=8.33

step 3

Find the average rate of change of function g(x) over interval [2,3]

we have

g(x)=\frac{1}{5}(4)^x

f(a)=g(2)=\frac{1}{5}(4)^2=\frac{16}{5}  

f(b)=g(3)=\frac{1}{5}(4)^3=\frac{64}{5}

a=2

b=3

Substitute

\frac{\frac{64}{5}-\frac{16}{5}}{3-2}=9.6

therefore

In order from least to greatest according to their average rates of change over those intervals

1) Function h

interval [3, 5]

rate of change 6

2) Function f

interval [3, 6]

rate of change 8.33

3) Function g

interval [2, 3]

rate of change 9.6

7 0
3 years ago
Pls help me, I really dont understand
Stella [2.4K]

Answer:

-2.5x-.5

y=\frac{2}{3}x-1

draw the dotted line (3/7)x-3 and shade below it

Step-by-step explanation:

First, we need the slope

Use the slope formula:

\frac{Y_2-Y_1}{X_2-x_1}=\frac{2-(-8)}{-1-3}=\frac{10}{-4}=-2.5

so we have

y= -2.5x+b

Solve for b by plugging in coordiantes

-8= -2.5(3)+b

-8= -7.5+b

b= -.5

Put it together and get -2.5x-.5

2.)

A line is parallel to another line if they have the same slope (and different y intercepts)

So in the formula y=mx+b we knowe that m= 2/3

Now it's just a matter of solving for B

plug in the required coordinate to do this

-1=(2/3)*0+b

-1= b

Put it all together to get

y=\frac{2}{3}x-1

3.)

put this into slope intercept form

3x-7y>21

3x-21 > 7y

(3/7)x-3 >y

To graph this just draw a dotted line with the equation (3/7)x-3 and shade everything below it (use de_smos if you're stuck)

7 0
3 years ago
PLEASE HELP!!! I AM DESPERATE BECAUSE MY CLASS IS IN A FEW MINUTES. Solve using statement reason.
svlad2 [7]

Answer:

Statement 1. P

Reason 1. Theorem: The measure of an external angle of a triangle is equal to the sum of the measures of the remote interior angles.

Statement 2. 132 = 3x + 54

Statement 3. x = 26

6 0
3 years ago
What two texts are the main sources of religious guidance in Islam?
Zepler [3.9K]

Answer:

The answer is Sunna and Qur'an on edgeunity

Step-by-step explanation:

4 0
3 years ago
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What is one fourth divided by 2
S_A_V [24]
One fourth is the same as 1/4 1. 2 ÷ 4. 1 Reciprocal 1. 1 × 4. 2 Multiply normally. 1/8=answer
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