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2 years ago

F(x) = x2 + 7, what is the equation for f–1(x)?

1 answer:

6 0

F-1(x) = (x-7) / 2, you can get this by taking 2x + 7, and doing the opposite operations on x. you also need to go in the reverse direction of Order of Operations. So first, we take 7 away from x, since subtraction is opposite from addition, and it is the last thing we would do in order of operations. next we only have the 2 multiplier left, so we put the x-7 in parenthesis, and divide by 2.

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Velida took out a 5/1 variable-rate mortgage for $150,000. The interest rate

Afina-wow [57]

Answer:

Step-by-step explanation:

The amortization period in months is:

30 years * 12 = 360 months

The monthly interest rate would be 5.25%/12 = 0.004375

The payment for monthly mortgage formula would be:

$E=\frac{C*r}{1-(1+r)^{-n}}$

Where

E is the monthly mortgage payment

C is the cost of mortgage, cost is $150,000

r is the monthly rate of interest, which is 0.004375

n is the period, in months, which is 360

Substituting, we get our answer:

$E=\frac{C*r}{1-(1+r)^{-n}}\\E=\frac{150,000*0.004375}{1-(1+0.004375)^{-360}}\\E=\frac{656.25}{1-(1.004375)^{-360}}\\E=\frac{656.25}{0.7923}\\E=828.31$

So, the correct answer is B

3 0

2 years ago

PLEASE help (desperate) :(

mars1129 [50]

Answer:

$4= \sqrt{16} \\1.5 = \sqrt{2.25}\\8 = 6^{2} /9*2\\1 = \frac{12 - 2}{6 + 4}\\5 = \sqrt{16 + 9} \\9 = 63/3^{2} +|2|$

6 0

2 years ago

Help me please! ASAP

Colt1911 [192]

Answer: For number 1 tell Andre no.

Step-by-step explanation: This is because he wants to make a scaled copy of Jada's drawing but by turning 4 into 8 by adding, it will create consistences to the point the best way to scale would be to multiply. So, Tell Andre that if he wants 4 to be 8, he should multiply instead of adding. Very epic!

6 0

2 years ago

Emily attends a Film Festival. The admission fee is $10. Each movie ticket cost $5 each. Emily wants to determine how many movie

Rashid [163]

Answer:

Emily can buy 6 movie tickets after paying the admission fee

Step-by-step explanation:

Let x be the number of movie tickets

If each movie ticket costs 5 dollars then the cost of x movies will be 5x

And the admission fee will be a constant.

She has $40 in total

So the equation can be written as

$10+5x = 40\\5x = 40-10\\5x = 30\\\frac{5x}{5} = \frac{30}{5}\\x = 6$

Hence,

Emily can buy 6 movie tickets after paying the admission fee

7 0

2 years ago

This cuboid is made from cm squares

11Alexandr11 [23.1K]

Answer:

Step-by-step explanation:

Each signal unit cubes are 1 cm to each side

the dimensions of the large cube is 4 by 6 by 3 width height and depth

a) volume of the cube Vol = area of the base times height

area of the base = the width times the depth

Volume = Base Depth

= Width x Depth x Height

= 4 x 3 x 6

= 12 x 6

Vol = 72 cm ³

b ) the volume of the smaller cuboid has different dimensions

the smaller cube is 2 by 2 by 1 width height and depth

Volume = Base Depth

= Width x Depth x Heigh

= 2 x 2 x 1

Vol smaller cuboid = 4

How many smaller cubes can be made?

The obvious answer might be to straight up divide the large cube volume by the smaler cuboid volume. That might work IF all of the cuboid dimensions divide evenly into the cube dimensions.

Number of cuboid = Volume of the cube / Volume of the cuboid

= 72 / 4

= 18

Check this answer by dividing the dimension of the cube by the cuboid

4 by 6 by 3

2 by 2 by 1

(4/2) by (6/2) by (3/1)

2 by 3 by 3 = 2 x 3 x 3 = 18

3 0

2 years ago