Write the formula for absolute value function if its graph has the vertex at point (0,6) and passes through the point (−1,−2).

Answers

Answer 1

Answer:

y = -8|x| + 6

Step-by-step explanation:

y = a|x-b| + c; (b,c) = vertex and a = constant

y = a|x-0| + 6 -->

y = a|x| + 6 -->

-2 = a|-1| + 6 -->

-2 = a + 6 -->

-8 = a -->

y = -8|x| + 6


Related Questions

what is the sum of 21 and 5 times a number f is 61

Answers

Answer:

Answer is below

Step-by-step explanation:

21 + 5f = 61       Turn the words into an equation

-21        - 21       Subtract 21 from both sides

5f = 40              Divide both sides by 5

f = 8

If this answer is correct, please make me Brainliest!

Answer:

[tex]f = 8[/tex]

Step-by-step explanation:

[tex]21 + 5f = 61 \\ 5f = 61 - 21 \\ 5f = 40 \\ \frac{5f}{5} = \frac{40}{5} \\ f = 8[/tex]

Hope this helpsBrainliest Appreciated.

Zack is 7 years old than lacy. Ronnie is 23.Jane is 15 years younger than Ronnie and 16 years younger than Lacey.how old is lacey

Answers

Explanation/ work ;

23-15=8
Jane is 8 years old

ANSWER-If to Ronnie she’s 15 years younger but to Lacey she’s 16 years younger that means Lacey would be 24

24-16=8

And Zack being 7 years older is 31





Info given—
Zack is 7 years older
Jane is 15 years younger ( than Ronnie)
16 years younger than Lacey
Ronnie is 23

Which of the following statements is FALSE? The correlation coefficient equals the proportion of data points that lie on a straight line. The correlation coefficient will be +1.0 only if all the data lie on an upward-tilting straight line. The correlation coefficient is undefined if all the data lie on a perfectly horizontal straight line. The correlation coefficient is a unitless number and must always lie between –1.0 and +1.0, inclusive.

Answers

Answer:

The first one is False.

Step-by-step explanation:

If the correlation coefficient can also be -1 if the data lies on an upward tilting straight line.

solve for the coefficient -5=a(0-2)(0-3)(0-5)

Answers

Answer:

a = 1/6

Step-by-step explanation:

-5=a(0-2)(0-3)(0-5)

Simplify

-5=a(-2)(-3)(-5)

-5 = a(-30)

Divide each side by -30

-5/-30 = -30a/-30

1/6 =a

Answer:

1/6

Step-by-step explanation:

The quadratic equation x^2 - 8x = -4 is rewritten in the form (x + p)^2 = q. when q is a constant. What is the value of p ?

Answers

Answer:

  -4

Step-by-step explanation:

If you multiply out the square, you can see ...

  (x +p)^2 = q

  x^2 +2px +p^2 = q

The coefficient of the x-term is 2p, so ...

  2p = -8

  p = -8/2 = -4

The mean life of a tire is 30,000 km. The standard deviation is 2000 km. 95% of all tires will have a life between___ km and ___km.

Answers

Answer:Need more infromation

Answer:

Between 26,000 and 34,000 km.

Step-by-step explanation:

95% of a data set will be within 2 standard deviations of the mean.

Therefore, the range will be from "μ - 2σ" to "μ + 2σ".

g(x) = - 3x - 8

g (____) =10

Answers

Answer: 6

-3x-8=10
-3x=18
x=6

When g(x) is equal to 10, x is equal to 6. So, g(6)=10

Look at recent question

Answers

Answer:

ok was it college math if so the I don't know

In a recent survey, 30 students reported whether they liked their potatoes Mashed, French-fried, or Twice-baked. 15 liked them mashed, 20 liked French fries, and 9 liked twice baked potatoes. Additionally, 12 students liked both mashed and fried potatoes, 5 liked French fries and twice baked potatoes, 6 liked mashed and baked, and 3 liked all three styles. How many students hate potatoes? (4 points)

Answers

Answer:

Totally 6 people hate potatoes

Step-by-step explanation:

Incase the figure is not clear

here, it is

⇒ 30 = 15 + 20 + 9 - 12 - 6 - 5 + 3 + h

⇒ h = 30 - 44 - 3 + 23

⇒ h = 53 - 47

h = 6

Hence, Totally 6 people hate potatoes

Answer: 6 students hate potatoes.

Step-by-step explanation:

The Venn diagram representing the situation is shown in the attached photo.

Set M represents the set of students that like mashed potatoes.

Set F represents the set of students that like French fried potatoes.

Set T represents the set of students that like Twice-baked potatoes.

H represents the number of students that hate potatoes.

3 liked all three styles

The number of students that like mashed and twice baked potatoes only is 6 - 3 = 3

The number of students that like mashed and French fried potatoes only is 12 - 3 = 9

The number of students that like twice baked and French fried potatoes only is 5 - 3 = 2

The number of students that like mashed potatoes only is 15 - (9 + 3 + 3) = 0

The number of students that like French fried potatoes only is 20 - (9 + 3 + 2) = 6

The number of students that like twice baked potatoes only is 9 - (3 + 3 + 2) = 1

Since the total number of students is 30, it means that

0 + 6 + 1 + 3 + 9 + 2 + 3 + H = 30

24 + H = 30

H = 30 - 24

H = 6

Find the area of the triangle

Answers

Answer:

84mm

Step-by-step explanation:

Formula of a triangle:

A =bh/2

A=14(12)/2

A=168/2

A=84mm

1. Si pide prestado $ 600 por siete años a una tasa de interés del 7%, ¿cuánto interés pagará?

Answers

Answer:

Su pago mensual sería de $9.06 (Espero que esto ayude)

Step-by-step explanation:

6 to the power of 3 +7 times 4

Answers

Answer:

892

Step-by-step explanation:

Marco bought gifts for his family at the school gift shop for the holidays. Marco bought 10gifts and spent $11.50. How many of each item did he buy if friendship bracelets cost $1.50 and stickers cost $1?

Answers

Step-by-step explanation:

Marco bought 10 gifts = 11. 50

If 5 bracelets = 1.50 x 5 = 7.5

4 stickers = 4 x 1 = 4

So total cost = 7.5 + 4 = 11.5

The sum of five consecutive integers is 70. What are the numbers?

Answers

Answer: The numbers are 12, 13, 14, 15, and 16.

Step-by-step explanation:

Write an algebraic equation.

x + (x+1) + (x+2) + (x+3) + (x+4) = 70

5x + 10 = 70

subtract 10 from both sides

5x = 60

divide each side by 5

x = 12

The numbers are 12, 13, 14, 15, and 16.

Answer:

12 to 16 :) hope it helped

Complete the five-number summary for the data set: 5, 2, 1, 3, 3, 6, 4, 2, 7.
you type in the answer







Answers

Answer:

NOOO OYU TYPE INTHE ANSWER

Step-by-step explanation:

an automobile traveled 21 miles north from the airport. it then turned directly west and traveled 28 miles. how far is the automobile from the airport??​

Answers

The automobile is 35 miles away from the airport

If a = 150 inches, b = 50 inches, and C = 120º find c.
Round to the nearest tenth of an inch.

Answers

Answer:180.3

Step-by-step explanation:

a=150

b=50

C=120

c^2=a^2+b^2-2 x a x b x cosC

c^2=150^2+50^2-2x150x50xcos120

c^2=150x150+50x50-2x150x50xcos120

c^2=22500+2500-15000cos120

c^2=25000-15000x-0.5

c^2=25000+7500

c^2=32500

c=√(32500)

c=180.3

Answer:

180.3 inches

Step-by-step explanation:

Using cosine law:

c² = 150² + 50² - 1(150)(50)cos(120)

c² = 32500

c = 50sqrt(13)

c = 180.3 (nearest tenth)

Micheal buys a basket of mangoes on sale for 4 dollars before tax. The sales tax is 12%. What is the total price Micheal pays for the basket of mangoes?

Answers

Answer:

$[tex]4.48[/tex] is the total price.

Step-by-step explanation:

Mulitply the total by the percentage.

[tex]4 * .12 = .48[/tex]

Add those together.

[tex]4 + .48 = 4.48[/tex]

Total price of mangoes: $[tex]4.48[/tex]

ESSON 3 REFINE
The rectangular prism shown below has a volume of 42 cubic
meters. What is the length of the prism? Show your work
What dim
labeled
prisma
3 m
2 m​

Answers

Answer:

The length of the prism = 3m

See below for explanation

Step-by-step explanation:

The question is incomplete without the diagram stated in the question.

Since the diagram is missing, I'll show you how you can determine the length of a prism.

Volume of prism = length × width × height = l×w×h

Find attached below the diagram used in solving the question.

From the diagram,

height = 7m

Width = 2m

Given that the volume of prism = 42 cubic meters = 42m³

Length of prism = ?

Inserting the values of the variables:

42 = l×2×7

42 = 14×l

l = 42/14

l = 3

The length of the prism = 3m

Solve for x - y = -3

Answers

Answer:

0-3=-3

Step-by-step explanation:

What is x:
1. X-y= -3
2. Add y to both sides
3. X= -3+y

What is y:
1. X-y= -3
2. Subtract x from both sides
3. -y=-3-x
4. Divide both sides by negative 1
5. y=3+x

Solution;
-3+y, 3+x

Hope this helps!!

if I bought 6 apples and 1 pair for $2.00 HOW MUCH WAS EACH ITEMS COST?

Answers

Answer:

$6.00

Step-by-step explanation:

6 apples = 3 pairs

1 pair=$2.00

3 pair=

  $6.00

Find the Taylor series for f(x) centered at the given value of a. [Assume that f has a power series expansion. Do not show that Rn(x) → 0.] f(x) = 2x − 4x3, a = −1 [infinity] f n(−1) n! (x + 1)n n = 0 = 2 − 10(x + 1) + 12(x + 1)2 − 4(x + 1)3 [infinity] f n(−1) n! (x + 1)n n = 0 = 2 − 10(x + 1) + 4(x + 1)2 − 12(x + 1)3 [infinity] f n(−1) n! (x + 1)n n = 0 = 2 + 10(x + 1) + 12(x + 1)2 + 4(x + 1)3 [infinity] f n(−1) n! (x + 1)n n = 0 = 2 − 12(x + 1) + 10(x + 1)2 − 4(x + 1)3 [infinity] f n(−1) n! (x + 1)n n = 0 = 2 + 10(x + 1) + 4(x + 1)2 + 12(x + 1)3

Answers

Answer:

  f(x) = 2 - 10 (1 + x) + 12 (1 + x)^2 - 4 (1 + x)^3

Step-by-step explanation:

The general form of the series is shown in the attachment. For the purpose here, we need to evaluate f(-1), f'(-1), f''(-1) and so on.

  f(x) = 2x -4x^3;  f(-1) = 2(-1)(1 -2(-1)^2) = (-2)(-1) = 2

  f'(x) = 2 -12x^2;  f'(-1) = 2 -12(-1)^2 = -10

  f''(x) = -24x;  f''(-1) = -24(-1) = 24

  f'''(x) = -24;  f'''(-1) = -24

So, the series is ...

  f(x) = 2 -10(x +1)/1! +24(x +1)^2/2! -24(x +1)^3/3!

  f(x) = 2 -10(x +1) +12(x +1)^2 -4(x +1)^3 . . . . . . . matches the first choice

Write the following trigonometric ratio using an acute angle: tan 162 degrees

Answers

Answer:

  -tan(18°)   or   tan(-18°)

Step-by-step explanation:

The angle given is in the 3rd quadrant, so the tangent is negative. The reference angle is ...

  180° -162° = 18°

Tangent is an odd function, so ...

  tan(-x) = -tan(x)

This means we can write the required ratio two ways:

tan(-18°)-tan(18°)

If f(x) = 6x - 5 and (x) = -x + 1 , what is the value of f(g(-3)).

Answers

Answer:

19

Step-by-step explanation:

f(x) = 6x - 5

g (x) = -x + 1

f(g(-3))

g(-3) = - (-3) +1 = 3+1 = 4

f(g(-3) = f(4))

f(4)= 6(4) -5 = 24-5 = 19

In the phrase “rise over sun” shat does “rise” indicate?

Answers

rise indicates going up or down on the grid
“Rise” is indicating the y-axis and the “Run” is indicating the x-axis.

A rectangular prism has dimensions of 2 ft, 4 ft, and 6 ft. If the dimensions are doubled, what would happen to the volume?

Answers

Answer:

Volume is increased in a factor of 8. The volume is increased from [tex]48\,ft^{3}[/tex] to [tex]384\,ft^{3}[/tex].

Step-by-step explanation:

The formula for the volume of the rectangular prism is:

[tex]V = w\cdot h \cdot l[/tex]

Where:

[tex]w[/tex] - Width

[tex]h[/tex] - Height

[tex]l[/tex] - Length

If dimensions are doubled, then volume is increased in a factor of 8:

[tex]V_{f} = (2\cdot w)\cdot (2\cdot h)\cdot (2\cdot l)[/tex]

[tex]V_{f} = 8\cdot w \cdot h \cdot l[/tex]

[tex]V_{f} = 8 \cdot V_{o}[/tex]

The volume is increased from [tex]48\,ft^{3}[/tex] to [tex]384\,ft^{3}[/tex].

How do you determine similarities in shapes?

Answers

Answer:

Step-by-step explanation:

. if every corresponding internal angles in both shapes are equal

. if all corresponding sides are equal or have same ratio.

more rules but depends on the shape also ( triangle, rectangle, hexagon,...)

Can someone help ??

Answers

Answer:

A. is 10/12 B. is 8/28 C. is 20/45

Step-by-step explanation:

I think

Which shows the decimal 0.16 expressed as a fraction in the simplest form?

Answers

Answer:

.16 = 16/100= 8/50= 4/25

Step-by-step explanation:

Answer:

decimal: 0.16

fraction: 4/25

percentage: 16%

Step-by-step explanation:

Which is closest to the diference in the volume of the two cylinders? A-4cm and 18cm. B-5cm and 5cm, A. 15,795 cm3 B. 2,534 cm3 C. 806 cm3 D. 512 cm3

Answers

Answer:

Difference in the volume = 512 cm³ (Approx)

Step-by-step explanation:

Given:

Radius of cylinder A (r1) = 4 cm

Height of cylinder A (h1) = 18 cm

Radius of cylinder B (r2) = 5 cm

Height of cylinder B (h2) = 5 cm

Find:

Difference in the volume.

Computation:

Difference in the volume = Volume of cylinder A - Volume of cylinder B

[tex]Difference\ in\ the\ volume = \pi (r1)^2(h1)- \pi (r2)^2(h2)\\\\Difference\ in\ the\ volume = \pi (4)^2(18)- \pi (5)^2(5)\\\\Difference\ in\ the\ volume = \pi (16)(18)- \pi (25)(5)\\\\Difference\ in\ the\ volume =905.3-392.5\\\\Difference\ in\ the\ volume = 512.8[/tex]

Difference in the volume = 512 cm³ (Approx)

Other Questions
f(x) = 2/x at x = -2 As a result of the treaty, Germany lost territory to plzz help i hav a test after i need the answer quick plzz. The partially filled contingency table gives the frequencies of the data on age (in years) and sex from the residents of aretirement home. 60-69. 70-79. Over 79. TotalMale: 12. 5. 1Female: 8. 10. 4Total What is the relative frequency for females in the age group 60-69?a. 3/20b. 1/5c. 9/40d. 2/5 Evaluate the log by thinking 3 to what power is 1/9 so log3(1/9) = 3. If the government imposes a tax on the production of a good or service, what will happen to the equilibrium priceand quantity of the good?a. Equilibrium price and quantity will both decreaseb. Equilibrium price and quantity will both increaseC. Equilibrium price will increase and equilibrium quantity will decreased. Equilibrium price will decrease and equilibrium quantity will increase eric bought 4 pairs of sports socks for $9. How many pairs of socks can he buy for $13.50. Which best describes the connection between Iran and Nicaragua during the mid-1980s? Nathan is buying a camera that regularlycosts $400.00. It is on sale for 25% off. Ifthe tax rate is 10%, what is the final costof the GoPro? Which of the following was one reason that England started colonizing the Americas later than some other European countries? A. They were dealing with outbreaks of bubonic and pneumonic plague. B. The were subduing the marauding Scots. C. They were preoccupied with domestic religious and political conflicts. D. They were repelling a Viking invasion. Lena has 32 pens. 3/4 of the pens are blue. How many blue pens does Lena have? What conclusion can you reach about the relationship between democracy, religion, and social reform during the early to mid-19th century in the U.S.?A. People kept these three issues strictly separated from one another. B.People had changing ideas about these issues during this time.C.Ideas about these three issues remained the same since the early days of the republic.D.Ideas about these three issues were often contrary to one another. explain the difference between weathering and erosion? how is deposition also involved in this three step cycle? Help me I will give brainliest!!! 100 PTS:Please help me now plz plz I promise I will mark you brainliest 15 POINTS !!!!!!! First correct answer gets brainliest!!!!In all his life, to whatsoever wight.He was a truly perfect, gentle knight.But now, to tell you all of his array.His steeds were good, but yet he was not gay.Of simple fustian wore he a jupon.Sadly discolured by his habergeon;For he had lately come from his voyageAnd now was going on this pilgrimage.#1. Using Chaucer's characterization of The Knight as a model, write a characterization of the main character in your favorite television show, story, drama, or novel. Be sure to include both the good and bad traits of the character. Por qu Cristoropher colon fue a buscar esclavos A.cuba B.Espaa C.frica 2C 2 H 6 +7O 2 ***>4CO 2 +6H 2 O if 7.0 g of C 2 H 6 react with 18 g of O 2 , how many grams of water will be produced The arms race was the result of Write the formula for kinetic energy that uses force in its equation. Calculate the kinetic energy generated when a 2500 N force is applied to a car when moving it 200 m. Show work.