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2 years ago

40 points. Factor the following polynomial.

Mathematics

1 answer:

madam [21]2 years ago

3 0

Answer:

Step-by-step explanation:

49y² - x² ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b) , then

49y² - x²

= (7y)² - x²

= (7y - x )(7y + x) → A

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Ian tosses a bone up in the air for his dog, Spot. The height, h, in feet, that Spot is above the ground at the time t seconds a

kirill115 [55]

Answer:

12 feet per second.

Step-by-step explanation:

Please consider the complete question.

Ian tosses a bone up in the air for his dog, Spot. The height, h, in feet, that Spot is above the ground at the time t seconds after she jumps for the bone can be represented $h(t)=-16t^2+20t$ .

What is Spot's average rate of ascent, in feet per second, from the time she jumps into the air to the time she catches the bone at t=1/2?

We will use average rate of change formula to solve our given problem.

$\text{Average rate of change}=\frac{f(b)-f(a)}{b-a}$

$\text{Average rate of change}=\frac{h(\frac{1}{2})-h(0)}{\frac{1}{2}-0}$

$\text{Average rate of change}=\frac{-16\cdot(\frac{1}{2})^2+20\cdot \frac{1}{2}-(-16\cdot(0)^2+20\cdot (0))}{\frac{1}{2}-0}$

$\text{Average rate of change}=\frac{-16\cdot\frac{1}{4}+10-(0)}{\frac{1}{2}}$

$\text{Average rate of change}=\frac{-4+10}{\frac{1}{2}}$

$\text{Average rate of change}=\frac{6}{\frac{1}{2}}$

$\text{Average rate of change}=\frac{2\cdot 6}{1}$

$\text{Average rate of change}=12$

Therefore, Spot's average rate of ascent is 12 feet per second.

3 0

3 years ago

-0.4a + 3 = 7 <br> a = <br> plz help

Papessa [141]

Answer:

a = -10

Step-by-step explanation:

-0.4a + 3 = 7

subtract 3 from each side

-0.4a + 3-3 = 7-3

-.4a = 4

Divide each side by -.4

-.4a/ -.4 = 4/-.4

a = - 10

4 0

3 years ago

F(t) = -2t + 5 f() = 13

fomenos

Answer:

I don't know what the question is but...

Step-by-step explanation:

-2t+5-13= -2t-8

-2t+5+13=-2t+18

-2t+5*13= -2t+65

-2t+5/13= -26t-5/13

8 0

3 years ago

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The expression -5p+20 factored

Nutka1998 [239]

Ok I’ve attached a photo

7 0

3 years ago

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Which sequence of transformations will change figure PQRS to figure P′Q′R′S′?

masya89 [10]

Answer:

Counterclockwise rotation about the origin by 90 degrees followed by reflection about the y-axis .

Step-by-step explanation:

The shape is moved to the opposite quadrant of the second shape then flied directly onto the second shape.

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2 years ago

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