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2 years ago

Solve for b. 15 - 3b=63

Mathematics

2 answers:

Anika [276]2 years ago

6 0

So you have to subtract 15 from both sides than you will have -3b=63 divide u get -16

kirill115 [55]2 years ago

5 0

15-3b=63
subtract 15 from both sides
-3b=48
divide -3 from both sides
b= -16

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An expression that is equivalent to (-8a-1)-(-7a+5)

horrorfan [7]

Answer:

Step-by-step explanation:

(-8a - 1)- (-7a + 5) = -8a - 1 - 7a*(-1) + 5*(-1) { (-1) is disturbed to all the terms in (-7a +5)}

= -8a - 1 + 7a - 5

= -8a + 7a -1 - 5 {Combine like terms}

= -a - 6

5 0

2 years ago

The equation h(t) = -16t² + 80t + 64 represented the height, in feet, of a potato t seconds after it has been launched.

Lyrx [107]

Answer:

Part A) The potato hit the ground at t=5.70 seconds (see the explanation)

Part B) The potato is 40 feet off the ground at the time t=5.28 seconds (see the explanation)

Step-by-step explanation:

we have

$h(t)=-16t^2+80t+64$

where

h(t) is the height of a potato in feet

t is the time in seconds

Part A) Write an equation that can be solved to find when the potato hits the ground. Then solve the equation

we know that

When the potato hit the ground, the value of h(t) must be equal to zero

For h(t)=0

$-16t^2+80t+64=0$

Solve the quadratic equation

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

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

in this problem we have

$-16t^2+80t+64=0$

$a=-16\\b=80\\c=64$

substitute in the formula

$t=\frac{-80\pm\sqrt{80^{2}-4(-16)(64)}} {2(-16)}$

$t=\frac{-80\pm\sqrt{10,496}} {-32}$

$t=\frac{-80+\sqrt{10,496}} {-32}=-0.70$

$t=\frac{-80-\sqrt{10,496}} {-32}=5.70$

therefore

The potato hit the ground at t=5.70 seconds

Part B) Write an equation that can be solved to find when the potato is 40 feet off the ground. Then solve the equation

For h(t)=40 ft

substitute in the quadratic equation

$-16t^2+80t+64=40$

$-16t^2+80t+24=0$

Solve the quadratic equation

we have

$a=-16\\b=80\\c=24$

substitute in the formula

$t=\frac{-80\pm\sqrt{80^{2}-4(-16)(24)}} {2(-16)}$

$t=\frac{-80\pm\sqrt{7,936}} {-32}$

$t=\frac{-80+\sqrt{7,936}} {-32}=-0.28$

$t=\frac{-80-\sqrt{7,936}} {-32}=5.28$

therefore

The potato is 40 feet off the ground at the time t=5.28 seconds

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3 years ago

What part of the story does this portion of the graph represent?

NeX [460]

Answer:

Step-by-step explanation:

Area of the Velocity-Time graph gives the displacement of the motion .

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2 years ago

Any suggestions or answers

Bad White [126]

Answer:

3m - 4

Step-by-step explanation:

Divide.

(15mn)/(5n) = 3m

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3m - 4 is your answer.

7 0

2 years ago

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masya89 [10]

Answer:

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Step-by-step explanation:

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Remember when multiplying powers, you add them together, which leaves you with:

-45x^11

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2 years ago