The functions f and g are defined by f: x = 4 - x and g: x = hx² + k. If the composite function gf is given by gf: x + 2x² - 16x + 26, find
(a) the value of h and of k,​

Answer:

8.60

Step-by-step explanation:

8.602

since 2 is below 5 it cant change the 0

so

0 will stay 0

Answer:

Adult tickets sold = 240

Step-by-step explanation:

If student tickets = x,

Adult tickets = 3x + 6

Since the total amount of tickets sold was 318, the equation would be:

x + 3x + 6 = 318

Simplify this:

4x + 6 = 318

4x = 312

x = 78

Student tickets = 78

and so:

Adult tickets = (3 x 78) + 6 = 240

Answer:

16/49

Step-by-step explanation:

DIVIDE 4/7 BY 1 3/4

Answer: $21.75

Step-by-step explanation:

356*.0625 = 22.25

so 6.25% of 356 = $22.25

356+22.25 = $378.25 (this is how much he owes)

400-378.25 = $21.75

So he recieves $21.75 back

Answer: the fourth one

Step-by-step explanation:

your welcome :)

Answer:

$56.

$83.99.

Step-by-step explanation:

She will save  40% of $139.99

= 0.40 * 139.99

= $56.

With the discount membership costs:

139.99 - 56

= $83.99.

Step-by-step explanation:

(4/3)•πr³

= 4/3 • π • (1/4)³

= π/48 cubic units or 150.86 cubic units

Volume of sphere is  [tex]\frac{11}{14}[/tex] cubic unit.

The volume of sphere is the measure of space that can be occupied by a sphere. A sphere is a three-dimensional shape that has no edges or vertices.

Volume of sphere = [tex]4\pi r^{2}[/tex]

Given

Radius of sphere = [tex]\frac{1}{4}[/tex] unit

Volume of sphere = [tex]4\pi r^{2}[/tex]

= 4 × [tex]\pi[/tex] × [tex](\frac{1}{4} )^{2}[/tex]

= 4 × [tex]\frac{22}{7}[/tex] × [tex]\frac{1}{16}[/tex]

= [tex]\frac{11}{14}[/tex]

Hence, Volume of sphere is  [tex]\frac{11}{14}[/tex] cubic unit.

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Answer:

3 miles/h

Step-by-step explanation:

You can set up a division problem to represent the equation.

12 miles÷4 hours=3 miles/hr

Answer:

D) Soccer Field and Park

Step-by-step explanation:

Erica travels 4 blocks right and 4 blocks up between 2 locations on the map. Which two locations does she travel between?

Rule: (x + 4, y + 4)

Locations:

A. Town Hall to Ice Rink

(x + 4, y + 4) → (4 + 4, 9 + 4) → (8, 13)

Town Hall (4, 9) to Ice Rink (8, 13)❌(Does not match the coordinates on the graph)

B. Park to Town Hall

(x + 4, y + 4) → (6 + 4, 6 + 4) → (10, 10)

Park (6, 6) to Town Hall (10, 10) ❌(Does not match the coordinates on the graph)

C. Ice Cream Parlor to Town Hall

(x + 4, y + 4) → (1 + 4, 6 + 4) → (5, 10)

Ice Cream Parlor (1, 6) to Town Hall (5, 10)❌(Does not match the coordinates on the graph)

D. Soccer Field to Park

(x + 4, y + 4) → (2 + 4, 2 + 4) → (6, 6)

Soccer Field (2, 2) to Park (6, 6) ✅(Matches the coordinates on the graph)

Therefore, the correct answer is D.

Hope this helps!

2 years

Step-by-step explanation:

Principle = Rs. 2000

Rate of Interest = 10%

Amount = Rs. 2420

Formula used = P(1+R/100)^T

=> 2420 = 2000 ( 1+10/100)^T

=> 2420 = 2000 (10+1/10)^T

=> 2420 = 2000 (11/10)^T

=> 2420/2000 = (11/10)^T

=> 121/100 = (11/10)^T

=> 11/10 = (11/10)^T

=> 2 years.

Probability helps us to know the chances of an event occurring. The probability of getting a 3, 4 or 5 when a dice is rolled once is 1/2.

Probability helps us to know the chances of an event occurring.

[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

The probability of 3, 4 or 5 can be written as,

P(3, 4 or 5) = 3/6 = 1/2

Hence, the probability of getting a 3, 4 or 5 when a dice is rolled once is 1/2.

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Answer:

y = x + 3

Step-by-step explanation:

Parallel: x - y = 5 -> y = x - 5

Take the slope from Parallel. m = 1

Point (-5,-2) = (x_0, y_0) ,  m = 1

Point-Slope Form: [tex](y - y_0) = m * (x - x_0)[/tex]

(y - (-2)) = 1 * (x - (-5))

y + 2 = 1x + 5

y = x + 3

Answer:

14

Step-by-step explanation:

the perimeter equation is 2(h+w)=p
substitute h with 14, and p with 56
2(14+w)=56

14*2=28

56-28=28

28/2=14

width is 14
(this is a square)

Answer:

Step-by-step explanation:

You need to first put the numbers in suitable catagories

0-120

120-130

130-140

140-150

then figure out the frequency of them

0-120=4

121-130=20

131-140=2  

141-150=2

then put in a graph(sry its not very good i was in a rush)

Answer:

B. 1/8

Step-by-step explanation:

Chance of each number = 1

Total number of chances = 8 (including 0)

Therefore,

Chance that each number will occur = 1/8

Hope it helps:)

Have a good day!

Answer:

using hyp²=opp²+adj²

x²=21²+20²

x²=441+400

x²=841

x =/841

x=29

Answer:

It's 29 ft. Hope the picture will help you understand better.

The following are true; 11 meters = 1,100 centimeters, 5 meters = 500 centimeters and 12 centimeters = 120 millimeters

Quantities are units of measurement. The following conversion factors are true

Using this conversion factors to determine the true statements, the following are true;

11 meters = 1,100 centimeters, 5 meters = 500 centimeters and 12 centimeters = 120 millimeters

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Answer:

31.41

Step-by-step explanation:

Substitute

Answer:

I think the answer is "No, he chose only members of  specific part of the population"

Step-by-step explanation:

I think it's this one because he only did names he recognizes he didn't do the entire town

Answer:

198.78m

Step-by-step explanation:

1. Find the area of the circles:

[tex]a = r^{2}\pi[/tex]

[tex]a = \frac{3}{4} * 4^{2} *\pi[/tex]

[tex]a = 37.7[/tex]

Since there are 2 circles we need to times this value by 2:

[tex]37.7 *2 = 75.4[/tex]

2. Now let's find the area of the regtangular figures

[tex]4 * 6 * 2 = 48[/tex]

3. Now the circular part of the outside of the cylinder

[tex]4 * 2 * \pi = 25.13[/tex]

[tex]25.13 * 6[/tex] = 150.78

Since this is not the actual value we need to find 25% of this value and subtract it.

[tex]150.78 - 150.78*0.25 = 150.78 - 37.7 = 113.08[/tex]

4. Let's add these values together

[tex]113.08 + 48 + 37.7[/tex] = 198.78m

Answer:

$36.25

Step-by-step explanation:

Shipping and tax are 25% the price of online book, thus it will be 25/100 x 29 = $7.25

Thus, total will be 29 + 7.25 = $36.25

Answer:

height of the peak AB is 40 feet.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Step-by-step explanation:In the figure attached, A is the peak of mountain AB, ED is Tyler who is 6 feet high. Mirror placed at C, is 20 feet from the base of peak. Tyler is 3 feet away from the mirror.1). When Tyler sees the peak in the mirror, angle of incidence " i " and angle of reflection " r " made by incident ray AC and reflected ray EC will be equal.Now we can easily say ∠ r = ∠ E ( Alternate angles )∠ i = ∠ A ( alternate angles)Since ∠ i = ∠ r Therefore, ∠ A = ∠ E∠B = ∠D = 90°and ∠ACB = ∠ECDHence  ΔABC is similar to ΔCDE.2). Corresponding sides of these similar triangles are AB and ED, BC and CD, AC and CE.3). tanE = tanE = 0.5 ∠ E =  degreesNow ∠E = ∠A = 26.57°Therefore, tan(26.57) = 0.5 = AB = Therefore, height of the peak AB is 40 feet.

The parentheses of the expression (-2+2w+4w)(-7) is removed using the distributive property and the resultant expression is -14-42w.

The distributive property says that the product of a number and sum of two numbers is equal to the addition of the product of that number with the individual number of the sum.

c×(a+b)=ac+ab

The given expression in the problem is,

(-2+2w+4w)(-7)

Now, use the distributive property to remove the parentheses as,

(-2+2w+4w)(-7)

-2×-7+2w×-7+4w×-7

-14-14w-28w

-14-42w

Hence, the parentheses of the expression (-2+2w+4w)(-7) is removed using the distributive property and the resultant expression is -14-42w.

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Answer:

The mode of a data set is ALWAYS equal to the mean.

Step-by-step explanation:

Answer:

aaaaaa

Step-by-step explanation:

did it on edge

Answer:

1,2,4,6,-8....

Step-by-step explanation:

Answer:

[tex]y=2x+3[/tex]

Step-by-step explanation:

The slope-intercept form is [tex]y=mx+b[/tex], where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept.

[tex]y=mx+b[/tex]

Using the slope-intercept form, the slope is 2.

[tex]m=2[/tex]

So in order for us to find an equation that is parallel, the slopes must be equal. We need to find the parallel line using the point-slope formula.

We use the slope 2 and a given point [tex](2,7)[/tex] to substitute for x1 and y1 in the point-slope form [tex]y-y^1 = m (x-x^1)[/tex], which is derived from the slope equation: [tex]m=\frac{y2-y1}{x2-x1}[/tex]

Now we simplify the equation and keep it in point-slope form.

[tex]y-7=2[/tex]  × [tex](x-2)[/tex]

Simplify [tex]2[/tex] × [tex](x-2)[/tex]

[tex]y-7=2x-4[/tex]

[tex]Rewrite.~y-7=0+0+2~x~(x-2)[/tex]

[tex]Simplify~ by~adding~zeros.~y-7=2 ~x~(x-2)[/tex]

[tex]Apply~the~distributive~property.~y-7=2x+2~X~-2[/tex]

[tex]Multiply~2~by~-2.~y-7=2x-4[/tex]

Last, We move all terms not containing y to the right side of the equation.

Add 7 to both sides of the equation.

[tex]y=2x-4+7[/tex]

Add −4 and 7 and your answer will be: [tex]y=2x+3[/tex]

Answer:

444.943

Step-by-step explanation:

Subtract 52.12 from 497.063, and you get 444.943.