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Oxana [17]
3 years ago
9

Evaluate 2b² - 3b + 4a² for a= -6 and b=8

Mathematics
1 answer:
eduard3 years ago
7 0

Answer:

Step-by-step explanation:

2b^2 - 3b + 4a^2........a =-6 and b = 8

now we sub

2(8^2) - 3(8) + 4(-6^2)

2(64) - 24 + 4(36)

128 - 24 + 144

272 - 24

248 <==

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kiruha [24]

Answer:

Part A) V(t)=-5,750t+101,250

Part B) \$55,250

Step-by-step explanation:

Part A) Express the value of the bulldozer, V, as a function of how many years old it is, t.

Let

V ----> the value of the bulldozer (dependent variable or output value)

t ----> the number of years (independent variable or input value)

we know that

The linear function in slope intercept form is equal to

V(t)=mt+b

we have the ordered pairs

(0,101,250) and (15,15,000)

Find the slope

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

substitute

m=\frac{15,000-101,250}{15-0}

m=-\$5,750\ per\ year ----> is negative because is a decreasing function

The value of b is the initial value

so

b=\$101,250

substitute

V(t)=-5,750t+101,250

Part B) The value of the bulldozer after 8 years is

For t=8 years

substitute the value of t in the linear equation

V(t)=-5,750(8)+101,250=\$55,250

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Answer:

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