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2 years ago

This table represents a linear function. What is the rate of change?

Mathematics

1 answer:

N76 [4]2 years ago

7 0

Answer:

-5

Step-by-step explanation:

Rate of change = Rise/Run = Δy / Δx

Therefore, the rate of change of slope = (y2 – y1) / (x2 – x1)

(0 – -5) / (4 – 5)

5 / -1

= -5

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Simplify 2√2-√3 --------------- √2+√3

serious [3.7K]

Step-by-step explanation:

$= \frac{2 \sqrt{2} - \sqrt{3} }{ \sqrt{2} + \sqrt{3} }$

$= \frac{2 \sqrt{2} - \sqrt{3} }{ \sqrt{2} + \sqrt{3} } \times \frac{ \sqrt{2} - \sqrt{3} }{ \sqrt{2} - \sqrt{3} }$

$= \frac{ 2( \sqrt{2} - \sqrt{3} )( \sqrt{2} - \sqrt{3} )}{ { \sqrt{2} }^{2} - { \sqrt{3} }^{2} }$

$= \frac{2(2 - \sqrt{6} - \sqrt{6} - 3) }{2 - 3}$

$= \frac{2( - 1 - 2 \sqrt{6} )}{ - 1}$

$= \frac{ - 2(1 + 2 \sqrt{6} )}{ - 1}$

$= 2(1 + 2 \sqrt{6} )$

$= 2 + 4 \sqrt{6}$

6 0

1 year ago

Ben made a sundial in his backyard by placing a stick with height 6 in. straight into the ground, and marking the hours in the g

Sunny_sXe [5.5K]

Answer:

B and D

Step-by-step explanation:

5 0

2 years ago

Filipemarcosdesouza

Margaret [11]

Answer:

noted, thanks for the note

7 0

2 years ago

Read 2 more answers

Find the value of x. Round the length to the nearest tenth.

Virty [35]

Answer:

5.1

Step-by-step explanation:

$tan \ 25 = \frac{opposite \ side}{adjacen \ side}\\\\tan \ 25 =\frac{x}{11}\\\\0.4663 =\frac{x}{11}$

0.4663 * 11 = x

x = 5.1293

x = 5.1

7 0

2 years ago

If alpha and beta are the zeroes of the polynomial f(x)= xsquare -8x +gamma such that alpha - beta = 2 find the value of gamma.

Komok [63]

Answer:

Γ = 15

Step-by-step explanation:

Given

f(x) = x² - 8x + Γ

with a = 1, b = - 8 and c = Γ , then

sum of zeros α + β = - $\frac{b}{a}$ = - $\frac{-8}{1}$ = 8

product of zeros = αβ = $\frac{c}{a}$ = Γ

Given α - β = 2 , then

(α - β)² = 2²

α² - 2αβ + β² = 4 → (1)

and

(α + β)² = 8²

α² + 2αβ + β² = 64 → (2)

Add (1) and (2) term by term

2α² + 2β² = 68 ( divide through by 2 )

α² +β² = 34

Substitute α² + β² = 34 into (1)

34 - 2αβ = 4 ( subtract 34 from both sides )

- 2αβ = - 30 ( divide both sides by - 2 )

αβ = 15

Now

αβ = Γ = 15

Thus

f(x) = x² - 8x + 15

4 0

2 years ago