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3 years ago

If f(x) = x2 − 1, and f(2a) = 35, then what could be the value of a ?

1 answer:

4 0

F(2a)=35
35=(2a)^2-1
35=4a^2-1
minus 35 from both sidse
0=4a^2-36
facor out 4
0=4(a^2-9)
factor differece of 2 perfect squares
0=4(a-3)(a+3)
set to zero
a-3=0
a=3

a+3=0
a=-3

a=-3 or 3
hope that's what you're looking for.

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The area of a cross section perpendicular to the base of a rectangular prism is 45 square inches. If the length and width of the

Naily [24]

The height of the prism is $2.25 \ in$

Explanation:

It is given that the area of the cross section of the rectangular prism is 45 square inches.

Length of the rectangular prism is $5 \ in$

Width of the rectangular prism is $5 \ in$

To determine the height of the prism, let us substitute these values in the formula $SA=(2l+2w)h$ , we get,

$45=(2(5)+2(5))h$

Multiplying the terms within the bracket, we get,

$45=(10+10)h$

Adding the terms within the bracket, we have,

$45=20h$

Dividing both sides by 20, we get,

$2.25=h$

Thus, the height of the rectangular prism is $2.25 \ in$

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3 years ago

Triangle JKL has vertices J(0,2), K(−1,2), and L(0,−3). What are the coordinates of the image of point K after a dilation with a

Yakvenalex [24]

Answer:

K(-4 , 8)

Step-by-step explanation:

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2 years ago

Solve the Inequality Give 5 solutions of the inequality ( Show your solution).<br> 2x -3 < 5

marysya [2.9K]

Answer:

Inequality Form:

x<4

1<4

3<4

-1004<4

Interval Notation:

(−∞,4)

(-1004,4)

(3,4)

(1,4)

Step-by-step explanation:

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3 years ago

vimesha drove 232 miles in 4 hours. at this rate, how far could she drive in 7 hours? what is her rate of speed in miles per hou

IrinaVladis [17]

Answer: distance = 406 miles

speed = 58 miles/hr

Step-by-step explanation:

4 hours - 232 miles

1 hr - 232/4

7 hours - 232/ 4 x 7 = 406 miles

Therefore , her distance is 406 miles for 7 hours.

Speed = distance / time

speed = 406/7 = 58 miles/hr

8 0

3 years ago

Shen borrowed $8000 at a rate of 12%, compounded semiannually. Assuming he makes no payments, how much will he owe after 7 years

Alexandra [31]

Answer:

$18,087.23

Step-by-step explanation:

The future worth of the loan in 7 years compounded semiannually is computed as shown below using the future value formula adjusted for semiannual compounding:

FV=PV*(1+r/2)^n*2

FV is the worth of the loan in 7 years which is unknown

PV is the actual amount of loan which is $8,000

r is the rate of interest of 12%

n is the number of years of the loan which is 7 years

the 2 is to show that interest is computed twice a year

FV=8000*(1+12%/2)^7*2

FV=8000*(1+6%)^14

FV=8000*1.06^14=$18,087.23

4 0

3 years ago