3 years ago

Write an equation of the line below.

Mathematics

1 answer:

Fynjy0 [20]3 years ago

4 0

The equation would be -1/4x
This is because the slope is one unit down and four units to the right

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Judah worked at the bakery for 14 hours last week. He spent $12 of his earnings on a cake for his father’s birthday. If he was l

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Answer:

Judah's hourly wage is $7/hr.

Step-by-step explanation:

x = (86 + 12)/14

x = 98/14

x = 7

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2 years ago

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(39 points PLZ HELP)Find the sum of a finite geometric series. A ball is dropped from a height of 10 meters. Each time it bounce

erastovalidia [21]

So we need to find the sum of the first 5 terms.

You have told me that the first term is 10 meters, and that r = 0.5 per term.

With this knowledge, we can use the formula s_n=a₁((1-r^n)/(1-r)).

Plugging in the terms that we know...

s₅=10((1-0.5⁵)/(1-0.5))

s₅=10(0.96875/0.5)

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s₅=19.375

With s₅, we can determine that the ball has traveled a total of 19.375 meters after 5 bounces.

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3 years ago

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Find the average rate of change of f(x)=2x^2-7x from x=2 to x=5

m_a_m_a [10]

Answer:

Step-by-step explanation:

The average rate of change of f(x) in the close interval [ a, b ] is

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

Here [ a, b ] = [2, 5 ]

f(b) = f(5) = 2(5)² - 7(5) = 50 - 35 = 15

f(a) = f(2) = 2(2)² - 7(2) = 8 - 14 = - 6, thus

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3 years ago

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3 years ago

Suppose a soccer goalie punted the ball in such a way as to kick the ball as far as possible down the field. The height of the b

Alexxx [7]

Answer:

57.98 yards

Step-by-step explanation:

When the ball is on the ground, the height is $y=0$ , therefore:

$y=-0.017x^2+0.98x+0.33$

$0=-0.017x^2+0.98x+0.33$

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

$x=\frac{-0.98\pm\sqrt{0.98^2-4(-0.017)(0.33)}}{2(-0.017)}$

$x_1=57.98184919$

$x_2=-0.3347903693$

Since distance cannot be negative, the ball landed 57.98 yards down the field from where the goalie kicked the ball.

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2 years ago