(22 POINTS)

A. g(-23) = 20
B. g(7) = -1
C. g(-4) = -11
D. g(0) = 2

The function h is defined, for all real numbers , answer is as follows -

h(1) = - 2

h(2) = 3

h(4) = 3.

function, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable

We have been given that

h(x) = 1/4(x) - 1       if x < -2

h(x) = -(x + 1)² + 2  if -2 ≤ x < 2

h(x) = 3                  if x ≥ 2

Find h (1), h (2), and h (4)

For h (1) -

Value of h(1) for h(x) = -(x + 1)² + 2 as if -2 ≤ x < 2

So put x = 1

h(x) = -(x + 1)² + 2

h(1) = -(1 + 1)² + 2

h(1) = -4 + 2

h(1) = - 2

For h (2) -

Value of h(2) for h(x) = 3 as  if x ≥ 2

h(x) = 3

h(2) = 3

For h (4) -

Value of h(4) for h(x) = 3 as  if x ≥ 2

h(x) = 3

h(4) = 3

Hence , the value for given functions - h(1) = - 2 , h(2) = 3 and h(4) = 3.

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Answer:

Step-by-step explanation:

If 11 flights were sampled with an 85% on-time arrival rate, the number of flights from the sample that arrived on time would be estimated to be 9.35, which would round to 9 flights.

This can be solved by:

(0.85x11)= 9.35

Since there can't be .35 of a flight, we would round to the nearest whole number, which would just be 9.

The final answer= 9 flights

A registered investment account, or RRSP, enables you to put money aside for retirement while delaying taxes on investment gains.

An annuity is a financial product that provides regular payments over a specified period of time in exchange for a lump sum of money. It's often used as a retirement income source and comes in different types such as fixed, variable, immediate, and deferred annuities. It's important to understand the terms, fees, and charges before purchasing an annuity.

Registered Retirement Savings Plan is the full form of RRSP.

In Canada, both workers and independent contractors can save and invest during their retirement through Registered Retirement Savings Plans (RRSP).

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Answer:

There may not be an image representation of this question but I can probably answer this. If the smaller wheel causes the the bigger wheel to rotate, the wheel will rotate 30.0° about everytime. this only depends on the speed of the smaller wheel.

Step-by-step explanation:

Answer:

2 4 7 8

Step-by-step explanation:

they can all be multiplied by something to get 112

Answer:  2, 4, 6, 8

Step-by-step explanation: They all go evenly into it.

Answer:

12

Step-by-step explanation:

You simply add the coefficients together.
3 + 4 + 5 = 12

Answer:

166

Step-by-step explanation:

$15.00-$5.00= $10.00 (subtract five dollars because aiden wants to have at least five dollars left)

10.00 divided by 0.06=  166

I hope this helps! :)

Answer:

Percent error = 25%

Step-by-step explanation:

Find:

Percent error

Given:

Weight of egg = 2 oz

Original value = 2.5 oz

Computation:

Percent error = [(Original value - Weight of egg) /  Weight of egg]100

Percent error = [(2.5 - 2) / 2]100

Percent error = 25%

Answer:

To calculate the percent increase in the amount of interest paid between a household with a 740 credit score and one with a 730 credit score , we need to find the total amount paid for each score and then calculate the percent increase.

From the given table , we can see that the simple interest rate for a credit score of 740-799 is 15%, and the total number of payments is 33 . So, the total amount paid for a principal balance of $18,000 with a credit score of 740 is:

Principal + Total Interest = Total Amount Paid

$18,000 + ($18,000 * 15% * 33/12) = $20,700

Similarly, for a credit score of 730, we need to use the simple interest rate for a credit score of 670-739 , which is 18%, and the total number of payments is 38. So, the total amount paid for a principal balance of $18,000 with a credit score of 730 is:

Principal + Total Interest = Total Amount Paid

$18,000 + ($18,000 * 18% * 38/12) = $21,240

Now, to calculate the percent increase in the amount of interest paid , we can use the following formula:

Percent increase = |(New value - Old value) / Old value| * 100%

Plugging in the values, we get:

Percent increase = |($21,240 - $20,700) / $20,700| * 100%

Percent increase = 2.6%

Rounding to the nearest tenth, we get the final answer as:

Percent increase = 2.6% ≈ 2.5%   (rounded to the nearest tenth)

Therefore, the answer is O 2.5%.

Step-by-step explanation:

Answer:

A , B and C

Step-by-step explanation:

evaluate the expressions following the order of operations as set out in PEMDAS

initial expression

note that • indicates multiplication

3 (2 + 6) + 4 × 5 ← evaluate parenthesis

= 3(8) + 20 = 24 + 20 = 44

A

5 × 4 + 3 × (6 + 2) ← evaluate parenthesis

= 5 × 4 + 3 × 8 ← perform multiplication

= 20 + 24 ← perform addition

= 44

B

(6 + 2) × 3 + 4 × 5 ← evaluate parenthesis

= 8 × 3 + 4 × 5 ← perform multiplication

= 24 + 20 ← perform addition

= 44

C

3 × 2 + 3 × 6 + 4 × 5 ← perform multiplications

= 6 + 18 + 20 ← perform addition

= 44

D

3 × 2 + (6 + 4) × 5 ← evaluate parenthesis

= 3 × 2 + 10 × 5 ← perform multiplication

= 6 + 50 ← perform addition

= 56

the expressions equivalent to the initial expression are A , B and C

Answer:

122 miles per hour.

Step-by-step explanation:

Time:108 min ÷60 =1.8 hours

Speed = distance /time = 219/1.8 =122 miles per hour.

Hope this helps..

Answer:

No its 121.67 mph.

Step-by-step explanation:

Speed in miles per minute is 219/108 miles per minute

To convert to miles per hour we multiply by 60:

= 219 * 60 / 108

= 121.67 m p h.

Answer:

the domain is: ( − ∞ , 0 ) ∪ ( 0 , ∞ ) , { x | x ≠ 0 }

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

\(the \: expression \: is \: 3x\)

Answer:

false

Step-by-step explanation:

thrice a number means 3 times the number

if the number is m then thrice the number is

3 × m = 3m

Answer:

1)  m = negative StartFraction 10 over 4 EndFraction

2) m = negative five-halves

3) m = \(-\frac{7}{4} - \frac{3}{4}\)

Step-by-step explanation:

The given equation is:

=> \(\frac{3}{4} +m = -\frac{7}{4}\)

Subtracting 3/4 to both sides

=> m = \(-\frac{7}{4} - \frac{3}{4}\)

=> m = \(\frac{-10}{4}\)

=> m = \(-\frac{5}{2}\)

Answer:

-5/2 ye

cause ya do the math

Step-by-step explanation:

Answer:

ok umm this looks hard can u give mor info?

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

consider the coordinates of points C and A

C (4, - 1 ) and A (- 3, 2 )

4 → - 3 in the x- direction is - 7

- 1 → 2 in the y- direction is + 3

then the translation rule is

(x, y ) → (x - 7, y + 3 )

Answer:

B = 26.4

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp/ hyp

sin B = 4/9

Take the inverse sin of each side

sin ^-1 sin ( B) = sin ^-1 ( 4/9)

B = 26.38779996

B = 26.4

Answer:

\(26.4\º\)

Step-by-step explanation:

\(\theta=?\)

\($\sin(\theta)=\frac{opp}{hyp} = \frac{4}{9} $\)

\($\theta=\sin^{-1}\frac{4}{9} =\arcsin\frac{4}{9} \approx 26.4\º$\)

Let x represent the amount of blankets that Jennifer sells.

Since each blanket is sold at $25, then, Jennifer will receive 25x dollars for selling x blankets.

Since the cost of the rent of the booth was $150, the total cost-profit balance for selling x blankets and paying the rent of the booth will be 25x-150.

Let y represent the cost/profit of Jennifer's crafts. Then, the linear equation that represents the situation, is:

Answer:20 square-root 5

Step-by-step explanation:

Answer:

Perimeter:\(4x+10\) feet
Area:\(x^{2}+5x+6\) feet

Step-by-step explanation:

The perimeter is equal to 2*width +2*length. The width is x+2 and the length is x+3, therefore the perimeter is equal to 2x+4+2x+6 which equals 4x+10.
The area is equal to width*length
(x+3)(x+2)=\(x^{2}+2x+3x+6=x^{2}+5x+6\)

Anwers:

22    is the answer

Answer:

Step-by-step explanation:

\(reqd.~probability=\frac{3c_{2} +9c_{1} }{12c_{3} } +\frac{3c_{3} }{12c_{3} } \\=\frac{\frac{3 \times 2}{2 \times 1} +\frac{9}{1} }{\frac{12 \times 11 \times 10}{3 \times2\times1} } +\frac{\frac{3\times2\times1}{3\times2\times1} }{\frac{12 \times11\times10}{3 \times2\times1} } \\=\frac{3+9}{220} +\frac{1}{220} \\=\frac{13}{220}\)

The null hypothesis is that there is no discernible difference among the 5 treatments. The alternative hypothesis is that there is a discernible difference among the 5 treatments

Degree of freedom between groups is nothing but the number of treatments-1 i.e. 5-1=4 and degree of freedom within groups is nothing but total number of subjects- number of treatments i.e. 5*10-5=50-5=45

Mean squares between groups is calculated as follows:

Mean squares between groups= Sum of squares between groups/degrees of freedom between groups= 232/4=58

Mean squares within groups is calculated as follows:

Mean squares within groups= Sum of squares within groups/degrees of freedom within groups= 400/45= 8.89 rounded off to two decimal places

F ratio is calculated as follows:

F= Mean squares between groups/Mean squares within groups

= 58/8.89

= 6.524184477

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Answer:

The second answer choice is right

Step-by-step explanation:

Let

y ----> speed in km/h

x ----> time in seconds

we have the ordered pairs

(0,0)

(3,18)

(6,35)

(9,50)

(12,50)

(15,34)

(18,17)

(21,0)

Using a graphing toll

plot the given points

see the attached figure

Estimate the distance traveled

Remember that

the distance is equal to multiply the speed by the time

so

Find out the area of the graph

between interval [0,9] -----> we have a triangle

between interval [9,12] ----> we have a rectangle

between interval [12,21] ----> we have a triangle

step 1

Find out the area of the triangle interval [0,9]

A=(1/2)(b)(h)

where

h=50 km/h----> convert to km/sec----> 50/3,600 km/sec

b=12 sec

A=(1/2)(12)(50/3,600)

A=0.0833 km----------> 83.33 m

step 2

Find out the area of the rectangle interval [9,12]

A=b*h

where

b=12-9=3 sec

h=50 km/h----> convert to km/sec----> 50/3,600 km/sec

A=3(50/3,600)

A=0.0417 km --------> 41.67 m

step 3

Find out the area of the triangle interval [12,21]

A=(1/2)(b)(h)

where

b=21-12=9 sec

h=50 km/h----> convert to km/sec----> 50/3,600 km/sec

A=(1/2)(9)(50/3,600)

A=0.0625 km ------------> 62.5 m

therefore

the total distance is

83.33+41.67+62.5=187.5 m

therefore

Answer:  it is c which is the function was stretched by all the factor of 2

hope this help

Answer:

Step-by-step explanation:

1+12=30

Answer:

4 is the answer

Step-by-step explanation:

Answer:

rffrefr

Step-by-step explanation: