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3 years ago

Can uh help me in this

Mathematics

1 answer:

iren2701 [21]3 years ago

4 0

Answer:

Step-by-step explanation:

b) a² - 1 + b(b - 2a) = a² -1 + b*b - b*2a {distributive property}

=a² - 1 + b² - 2ab

= (a² - 2ab + b² ) - 1

= (a - b)² - 1² {use identity x²-y²= (x+ y)(x -y)}

= (a - b + 1)(a -b +1)

b) 15 +8y + y² - 2x - x² = (y² + 8y + 15) - x² - 2x

= (y² + 5y + 3y + 15) - x(x + 2)

= [ y(y + 5) + 3(y +5)] - x(x + 2)

= [(y + 5)(y+3) ] - x(x +2)

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The function h(t) = −16t2 + 18t models the height, in feet, reached by a leopard t seconds after it jumps. What is the approxima

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Answer:

5 1/16 ft

Step-by-step explanation:

h(t) = -16t(t -18/16) . . . . put in intercept form

The function describes a parabola that opens downward. It has zeros at t=0 and t=9/8. The maximum height will be found at the vertex of the parabola, halfway between these zeros.

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The approximate maximum height of the leopard is 5 1/16 feet.

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3 years ago

5) Solve. x - 32 = 73 A) x = 41 B) x = 105 C) x = 2336 D) x = 2 9/32

Mice21 [21]

Answer:

Step-by-step explanation:

105 - 32 = 73

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3 years ago

Read 2 more answers

A report by the US Geological Survey indicates that glaciers in Glacier National Park, Montana, are shrinking. Recent estimates

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Answer

a) C

b) B

c) C, E

d) 15.5

e) 0.7

f) 67.7

Step-by-step explanation

a) A linear equation can be written as $y=mx+c$ where $m$ is the slope and $c$ is the intercept on the $y$ -axis. The slope describes how $y$ changes when $x$ changes. A negative value means the it is a decreasing change. In our case, $y$ is $A$ and $x$ is $t$ . Thus, the slope of the equation is $m=-0.062$ . This means that the area of glacier is decreasing by $0.062 \text{km}{}^2 = 62000 \text{m}{}^2$ every year since 2000.

b) The $A$ -intercept (= 16.2 $\text{km}{}^2$ ) represents the area covered when $t=0$ . But $t=0$ starting from year 2000. This intercept then represents the area covered by glacier in the year 2000. Therefore, the area covered by glacier in 2000 was 16.2 $\text{km}{}^2$ .

c) $A=f(t)$ means the area covered after year 2000. Setting it to 12 means the area covered after $t$ years is 12 $\text{km}{}^2$ ). $t$ is therefore the number of years since 2000 that the total area covered will be 12 $\text{km}{}^2$ ).

d) $f(12)=16.2−0.062\times12 =16.2-0.744 = =15.456 15.5 \text{km}{}^2$ to 1 decimal place.

e) The term involving $t$ represents the disappearing area. In 12 years, the disappeared area is $0.062\times12=0.744 =0.7 \text{km}{}^2$ to 1 decimal place.