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3 years ago

Which of these functions had a greater rate of change than the function graphed below, and why?

Mathematics

1 answer:

Mrac [35]3 years ago

7 0

Answer:

Step-by-step explanation:

When we talk of rate of change, we talk of the slope of the line

If we had a line;

y = mx + b

m is the slope ( which is the rate of change)

To get the slope of the line, we select any two points on the line and apply the slope formula

m = y2-y1/x2-x1

let us take points (0,0) and (3,9)

m = 9-0/3-0 = 9/3 = 3

The slope here is 3

so from the option, we can see that the third option is the correct answer

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What method would be best to use 53=4(x-3)^2-11

Veronika [31]

Answer:

x = 7 , -1

Step-by-step explanation:

SOLUTION :-

$4(x-3)^2-11 = 53$

Add 11 to both the sides.

$=> 4(x-3)^2-11+11=53+11$

$=> 4(x-3)^2 = 64$

Divide both the sides by 4.

$=> \frac{4(x-3)^2}{4} = \frac{64}{4}$

$=> (x-3)^2 = 16$

Root square both the sides.

$=> \sqrt{(x-3)^2} = \sqrt{16}$

$=> x-3 = +4 \; or -4$

Here , x will have two values -

1) $x-3 = 4$

$=> x = 4 + 3 = 7$

2) $x - 3 = -4$

$=> x = -4 + 3 = -1$

VERIFICATION :-

When x = 7 ,

$4(x-3)^2 - 11 = 4(7 - 3)^2 - 11$

$= 4 \times 4^2 - 11$

$= 4 \times 16 - 11$

$= 64 - 11$

$= 53$

When x = -1 ,

$4(x-3)^2 - 11 = 4(-1 - 3)^2 - 11$

$= 4 \times (-4)^2 - 11$

$= 4 \times 16 - 11$

$= 64 - 11$

$= 53$

7 0

3 years ago

5x + 2y = 8

stich3 [128]

The answer should be c.

3 0

3 years ago

Read 2 more answers

(−7x5 + 14 − 2x) - (10x4 + 7x + 5x5) Include all steps to solve the x's are variables.

hichkok12 [17]

I wrote it out this time, so I didn't forget any work like last time. LOL

4 0

4 years ago

Please help me

Sedaia [141]

16- let x represent the number:

x+ (x+1)+(x+2)=100

collect like terms

3x+3=100

3x=97

x=~32 but we need an odd number so round to 31, since 33 would be too great

31+33+35=99

therefore, the three numbers are 31, 33, 35

7 0

3 years ago

Read 2 more answers

Help me plz plz plz i will give the brainliest .

Darina [25.2K]

Answer:

-100

Step-by-step explanation:

hope this helps...

5 0

3 years ago