MATHEMATICS HIGH SCHOOL

Given the function f(x) = x2 and k = –3, which of the following represents a vertical shift? A. f(x) + kB. kf(x)
C. f(x + k)
D. f(kx)

Answers

Answer 1

Answer:

Given the function $f(x) = x^2$ and k = –3, consider all options:

A. $f(x)+k=x^2-3$ - this is translation down 3 units;

B. $kf(x)=-3x^2$ - this is reflection across the x-axis and stretch in the y-direction;

C. $f(x+k)=(x-3)^2$ - this is translation 3 units to the right;

D. $f(kx)=(-3x)^2$ - this is compression it in the x-direction.

The only possible option with vertical shift is option A.

Answer 2

Answer: when you are dealing with any function f(x)=x^w,

a vertical shift is:
f(x) = x^w+c (shift up)

therefore the answer is: A. f(x) + k

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PLEASE HELP ASAP AND GIVE A REAL ANSWERDifferent sizes of string needs to be cut to go around various shapes. All of the following sizes are in inches
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Answers

3.1, 1.4, 8.0, 4.0

1.4, 3.1, 4.0, 8.0

You earn $420 per week. You pay social security taxes of 7.65%, federal taxes of 22%, and state taxes of 5.95%. What is your take home pay?

Answers

$420 x .0765 = $32.13
$420 x .22 = $92.40
$420 x .0595 = $24.99

The total of those three deductions comes to $149.52

Finally subtract that from 420. $420 - 149.52 = $270.48 - that is known as the net amount. (the $420 is called the gross amount).

Help me pls i need it

Answers

Answer:

y = 255x + 6559

Step-by-step explanation:

Function Modeling

We have the following relationship between the minutes into the ride (x) and the elevation of the tram (y):

x={2,5,9,14}

y={7069,7834,8854,10129}

We first test if the relationship is linear or not.

A linear relationship is tested by calculating the slope from any pair of points.

Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

$\displaystyle m=(y_2-y_1)/(x_2-x_1)$

Selecting the first two points (2,7069) and (5,7834)

$\displaystyle m=(7834-7069)/(5-2)=(765)/(3)$

m = 255

Selecting the first two points (5,7834) and (9,8854)

$\displaystyle m=(8854-7834)/(9-5)=(1020)/(4)$

m=255

If we repeat the calculation with any pair of points, we get the same value for the slope, thus we can conclude the relationship is linear.

Using the point-slope form of the line:

y - k = m( x - h )

We select the point (2,7069)

y - 7069 = 255( x- 2 )

Operating:

y - 7069 = 255x - 510

Adding 7069:

y = 255x - 510 + 7069

y = 255x + 6559

What is the surface area of a cube that measures 5 inches on each side?25 in 2
50 in 2
75 in 2
150 in 2

Answers

Surface area of a cube=6 x side²

Data:
Side=5 in.

Surface area of a cube=6(5 in)²=6(25 in²)=150 in².

Answer: 150 in².

The price of a pair of shoes is $28. The sales tax rate is 2.39 percent. What is the total amount you would pay if you bought these shoes?

Answers

Answer:

Total amount pay for the shoes is $28.67 .

Step-by-step explanation:

As given

The price of a pair of shoes is $28.

The sales tax rate is 2.39 percent.

2.39% is written in the decimal form .

$= (2.39)/(100)$

= 0.0239

Sales tax price = 0.0239 × Price of pair of shoes

= 0.0239 × 28

= $ 0.6692

= $0.67 (Approx)

Total shoes price = Price of pair of shoes + Sales tax price

Put all the values in the above

Total shoes price = $28 + $0.67

= $ 28.67

= $28.67

Therefore the total amount pay for the shoes is $28.67 .

$28.67 Multiply 28 x 0.0239 = 0.6692 round up to .67 and then add that answer to 28 and you get the answer of 28 dollars and 67 cents

The spoke of a wheel reaches from the center of the wheel to its rim. If the circumference of the rim of the wheel is 27 inches, how long is each spoke? Round your answer to the nearest hundredth.A. 2.07
B. 8.59 NOT THE ANSWER
C. 2.93
D. 4.30