The function h(x)=x^2+3 and g(x)=x^2-6. If g(x)=h(x)+k, what is the values of k?

Answers

Answer 1

Answer:

The value of [tex]k[/tex] is -9.

Step-by-step explanation:

Let [tex]g(x) = x^{2}-6[/tex], we proceed to manipulate the expression algebraically to derive an expression equivalent to [tex]g(x) = h(x) + k[/tex], where [tex]h(x) = x^{2}+3[/tex].

[tex]g(x) = x^{2}+[(-9)+3][/tex] Definition of subtraction.

[tex]g(x) = (x^{2}+3)+(-9)[/tex] Commutative and associative properties.

[tex]g(x) = h(x) +(-9)[/tex]   [tex]h(x) = x^{2}+3[/tex]/Result

We notice that value of [tex]k[/tex] is -9.


Related Questions

It's easy 5th-grade math please solve the whole problem (the whole backside is the problem u can look I will mark the brainiest...

Answers

Answer:

which question is it? and please take the picture from the top.

Step-by-step explanation:

And Also will answer in the replies.

Help please
Brainiest answer to whoever is first

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You see two rectangles and draw a line straight down making two rectangles

Hi yall plz help me!

Answers

Answer:

the correct answer is

oh it's not possible

i give u a hint

pit the value of y

Create an equation to solve for x, then solve to find its value.

Answers

Answer:

btnhyjum6666666i-n,,,,,,,,,,,

Step-by-step explanation:

vwgbthyjuuuuuuuuuu'

lJhbgvft

4x-9=2x+5..solve for X..Help?

Answers

Answer:

x = 7

Step-by-step explanation:

4x - 9 = 2x +5        add 9 from both sides

4x = 2x +14            subtract 2x from both sides

2x = 14.                   divide both sides by 2

x = 7

Answer:

x = 7

Step-by-step explanation:

Rewrite equation

4x - 9 = 2x + 5

Add 9 on both sides

4x -9 +9 = 2x + 5 + 9

Simplify

4x = 2x + 14

Subtract 2x on both sides

4x - 2x = 2x + 14 - 2x

2x = 14

Finally divide both sides by 2

2x/2 = 14/2

x = 7

Hope this helps :)

PLZZZ WHATS THE ANSWER IM DOING A MATH TEST

Answers

Answer:

The Bottom one I think-

Step-by-step explanation:

I hope that helped

Answer:

Hmm, I was going to say top, but if the first guy that said bottom was right...then he's right :/

. Find the slope of the line passing through the points (-3,5) and (7,6).

Answers

Answer:

Answer is in the photo below.

Slope= 0.1

Step-by-step explanation:

In ΔCDE, the measure of ∠E=90°, the measure of ∠C=75°, and CD = 5.8 feet. Find the length of EC to the nearest tenth of a foot.

Answers

Answer:

1.5

Step-by-step explanation:

I’LL GUVE YOU BRAINLESS... For the water balloon fight, your mom filled up one hundred balloons
with 5 gallons of water. How many ounces of water did she use?
Make sure to label your answer in ounces.

Answers

Answer:

640 ounces

Step-by-step explanation:

128 fluid ounces per gallon x 5 gallons = 640 ounces

640 /100 = 6.4 ounces per balloon

What is the value of x if 5^ x+2 =5^ 9 ? O x = - 11 O x = - 7 x = 7 x = 11 O O

Answers

Answer:

Step-by-step explanation:

5ˣ⁺² = 5⁹

log₅(5ˣ⁺²) = log₅(5⁹)

x+2 = 9

x = 7

Please I need help ASAP

Answers

you just answer ths but here this might help

plz mark as brainliest

17*10-12
I need it fast please

Answers

Answer:

158

Step-by-step explanation:

A car travels 420 miles in 7 hours. If the rate remains the same, how far does it travel in 11 hours?
A. 660 miles
B. 480 miles
C. 270 miles
D. 60 miles

Answers

Answer:

A. 660 miles

Step-by-step explanation:

420 ÷ 7 = 60 60 x 4 = 240 240 + 420 = 660

You buy 15 bags of gummy bears and 3 bags of chocolate for $25. You then buy 3 bags of gummy bears and 5 bag of chocolate for $10. What is the price of a bag of gummy bears and a bag of chocolate?

Answers

Answer:

Price of one bag of gummy bears = $1.44

Price of one bag of chocolates = $1.14

Step-by-step explanation:

Let the price of one bag of gummy bears = $b

Price of one bag of chocolate = $c

Since, cost of 15 bags of gummy bears and 3 bags of chocolates is $25

15b + 3c = 25 --------(1)

And cost of 3 bags of gummy bears and 5 bags of chocolates is $10

3b + 5c = 10 -----(2)

Equation (2) multiplied by 5 then subtracted from equation (1),

15b + 3c - 5(3b + 5c) = 25 - 50

15b + 3c - 15b - 25c = -25

-22c = -25

c = [tex]\frac{25}{22}[/tex]

c = 1.136 ≈ $1.14  

From equation (1),

15b + 3(1.136) = 25

15b = 21.592

b = $1.44  

solve for x.... please help

Answers

Answer:

x = 5

Step-by-step explanation:

Both angles add to 180, so by knowing that we can say...

16x - 5 + -5 + 22x = 180

Now simplify and solve

38x - 10 = 180

      38x = 190

          x = 5

Tommy bought a total of 20 game cards some of which cost $0.25 each. Of tommy spent $4.20 to buy these cards how many cards of each type did he buy

Answers

The question is incomplete:

Tommy bought a total of 20 game cards some of which cost $0.25 each and some of which cost $0.15 each. If Tommy spent $4.20 to buy these cards,how many cards of each type did he buy?

Answer:

He bought 12 cards that cost $0.25 and 8 cards that cost $0.15.

Step-by-step explanation:

From the information given, you can write the following equations:

x+y=20 (1)

0.25x+0.15y=4.20 (2)

First, you can solve for x in (1):

x=20-y (3)

Now, you can replace (3) in (2):

0.25(20-y)+0.15y=4.20

5-0.25y+0.15y=4.20

5-0.10y=4.20

5-4.20=0.10y

0.80=0.10y

y=0.80/0.10

y=8

Finally, you can replace the value of y in (3) to find x:

x=20-y

x=20-8

x=12

According to this, he bought 12 cards that cost $0.25 and 8 cards that cost $0.15.

PLEASE HELPPPP FIND THE SURFACE AREA OF THE PYRAMID.

Answers

Answer:

4ft

Step-by-step explanation:

find the value of given expression

[tex] \sqrt{25 \times 2} \times \sqrt{50} [/tex]

Answers

the answer is fifty :)

Tamara has a piece of card that is blue on one side and white on the other.She cuts out the shape from the card.She turns over the shape so that the white side is showing.Which of the the shapes below could show the white side of Tamara's shape?

Answers

Answer:

Ahhhhhhhhhh

Step-by-step explanation:

just Ahhhhhhhhhhhhhh

Option C  has reflective symmetry of the the shapes below could show the white side of Tamara's shape.

Symmetry refers to a balanced arrangement of parts or shapes that are identical or similar when folded, reflected, or rotated. In this case, Tamara has a shape cut out from a card that has a blue side and a white side. Then she turns over the shape, the white side is showing.

To determine which shape could show the white side, we need to consider the concept of symmetry. If the original shape had a symmetrical design, it means that when the shape is folded or reflected, both halves match perfectly.

In the given options, we should look for a shape that has reflective symmetry, also known as mirror symmetry. This means that if a line is drawn through the middle of the shape, one side is the mirror image of the other side.

Option C has reflective symmetry and the shape matches the original shape that Tamara cut out, it is possible for the white side of her shape to show when she turns it over.

To know more about reflective symmetry click here :

https://brainly.com/question/1593820

#SPJ2

Plz help fast will mark the brainiest!!!

Answers

3x10^-6 is the answer

Home help plz really appreciate it!!!!!

Answers

Answer:

angle AGE=113.5

Step-by-step explanation:

3x-28=66-x

4x=94

x=23.5

23.5+90=113.5

Answer: 113.5° is 100% the correct answer.

Step-by-step explanation:

Solve each equation and match the solution.
e +8= 31

Answers

Answer:e=23

Step-by-step explanation:

e+8=31

8-31=23

WILL GIVE BRAINLY!!!

Find the value of x. Round to the
nearest tenth.
9
4
O
X= | ?

Answers

tan = opposite / adjacent

tan x = 4/9

x = tan^-1 (4/9)

x = 23.9624....

x = 24.0

Answer:

66.03 so 70

Step-by-step explanation:

since hypotunees has no value it cancels.

aso it leaves with an adjacent and oppisite

using trig function you will get

tan(x)=(9/4)

inverse tan to get x on its own

(x)=tan^-1(9/4)

put that on the calculater and you will get the angle

therefore

(x)=66.04 round it the nearest ten which is

70

Please help me solve the algebraic expressions

Answers

[tex] \frac{ 36+{w}^{2}x}{4w} [/tex]

[tex] \frac{ {d}^{3} + 6 }{3 {d}^{2} } [/tex]

[tex] \frac{2 {m}^{3} - 27}{12m} [/tex]

[tex] \frac{ {x}^{5} - 2 }{w {x}^{2} } [/tex]

ahaha please help. Find the area of the right triangle

Answers

Answer:

8 units

Step-by-step explanation:

Area of a triangle = 1/2 × base × height

= 1/2 × 8 ×2

= 8

Maya has a sandbox that is 4 1/2 feet long, 3 feet wide, and 1/2 foot deep. How many cubic feet of sand does she need to fill the sandbox completely?

A. 13 and 1/2

B. 6 and 3/4

C. 5 and 1/4

D. 8

Answers

We need to find the area. So we multiply the dimensions.

3x1/2=1.5

1.5x4 1/2=6.75

Decimal was my go-to so we need to convert back to a fraction.

6.75= 6 3/4

So the answer is B.

---

hope it helps

Is | -7 | bigger or smaller than -7?

Answers

Answer:

|-7| is larger than -7

Step-by-step explanation:

|-7| is absolute value which means both 7 and negative 7.

7 if larger than negative 7 so |-7| > -7

The diameter of a basketball is approximately 9 inches. What is its volume? Round your answer to the nearest whole number.
A. 339in^3
B. 38in^3
C. 3052in^3
D. 382in^3

Answers

Answer:

V ≈ 382 in^3

Step-by-step explanation:

1. Volume of a sphere

[tex]V=\frac{4}{3}\pi r^{3}[/tex]

2. Get radius

r = d/2

r = 4.5

3. Plug in and solve

[tex]V=\frac{4}{3}\pi 4.5^{3}[/tex]

[tex]V=381.7[/tex]

A construction company is preparing 10 acres of land for a
new housing community. The land contains large rocks that
need to be removed. A machine removes 15 rocks from 360
square feet of land.
1 acre = 43,560 square feet
About how many rocks will need to be removed from the 10
acres of land?

Answers

Answer:

A

Step-by-step explanation:

43560/360 = 121

131x15 = 1815 rocks per acre

1815 x 10 acres = 18150 rocks

i will mark you brainiest if you can answer this

Answers

The answer is letter C

Answer:

D

Step-by-step explanation:

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