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

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)

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

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]

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

Can someone help ??

Answers

Answer:

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

Step-by-step explanation:

I think

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

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

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

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)

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:

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

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

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.

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:

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].

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:

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

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

6 to the power of 3 +7 times 4

Answers

Answer:

892

Step-by-step explanation:

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°)

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

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:

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".

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

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.

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,...)

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!!

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.
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