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zimovet [89]
2 years ago
7

Which could be the graph of f(x) = |x - h| + k if h and k are both positive? On a coordinate plane, an absolute value graph has

a vertex at (2, 1). On a coordinate plane, an absolute value graph has a vertex at (1, negative 4). On a coordinate plane, an absolute value graph has a vertex at (negative 3, 2). On a coordinate plane, an absolute value graph has a vertex at (negative 4, negative 5).
Mathematics
1 answer:
Andrew [12]2 years ago
4 0

Answer:

Step-by-step explanation:

f(x) = |x - h| + k has a vertex at (h, k), where both h and k are positive.  Only

"On a coordinate plane, an absolute value graph has a vertex at (2, 1)"  satisfies those requirements.

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A line passes through the points (p, a) and (p, –a) where p and a are real numbers and p ≠ 0. Describe each of the following. Ex
MissTica

Answer:

Part A) The slope is undefined

Part B) The equation of the line is x=p

Part C) None y-intercept

Part D) The slope of a line perpendicular to the given line is equal to zero

Step-by-step explanation:

we have that

Describe

A) slope of the line

B) equation of the line

C) y-intercept

D) slope of a line perpendicular to the given line

Part A) slope of the line

we know that

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

we have

(p,a)\ (p,-a)

Substitute the values

m=\frac{-a-a}{p-p}

m=\frac{-2a}{0}  -----> the slope is undefined

Its a vertical line (parallel to the y-axis)

Part B) Equation of the line

we know that

The equation of a vertical line is equal to the x-coordinate of the points through which the line passes.

so

x=p

Part C) The y-intercept

The y-intercept is the value of y when the value of x is equal to zero

The vertical line not intercept the y-axis

so

None y-intercept

Part D) slope of a line perpendicular to the given line

A line perpendicular to the given line is a horizontal line (parallel to the x-axis)

therefore

The slope is equal to zero

6 0
2 years ago
A father lifts a toddler 1.5 m up in the air. The child gains 187.5 J of energy in her gravitational potential energy store as a
bearhunter [10]

The mass of the toddler is 12.5 kg.

Step-by-step explanation:

The equation for gravitational potential energy is Ep=mgh where;

Ep=gravitational potential energy

m=mass of an object

g=gravitational field strength

h=height in meters

Given that ; h= 1.5m, Ep=187.5J , g=10 N/kg then finding m;

Ep=mgh

187.5=m*10*1.5

187.5=15m

187.5/15 =15m/15

12.5 kg=m

Learn More

  • Gravitation potential energy : brainly.com/question/939365

Keyword : Mass, gravitational potential energy

#LearnwithBrainly

5 0
2 years ago
Ruby wants to start her own business taking photographs. She already has her own camera, but needs to purchase lights, a photo p
dangina [55]

Ruby wants to <u>start</u> her own <u>business</u> taking photographs. She has to <u>purchase</u>

  • photo printer for $251.99;
  • lights for $150.00;
  • photo paper for $30.98.

In total, she will use

$251.99 + $150.00 + $30.98 = $432.97.

If she has $840.32 in savings, then

$840.32 - $432.97 = $407.35 will remain.

Answer: she will use $432.97 - correct answer A

5 0
2 years ago
Grandma is trying out a new recipe for raisin bread. Each batch of bread dough makes three loaves, and each loaf contains 15 sli
Tom [10]

Answer:

0.108

Step-by-step explanation:

Using the poisson probability process :

Where :

P(x =x) = (e^-λ * λ^x) ÷ x!

Given that :

Each batch of bread = 3 loaves

Each loaf = 15 slices

Total slice per batch = 15 * 3 = 45 slices

Number of raising added = 100

Average number of raisin per slice, λ = 100/45 = 20/9

Hence,

Probability that a randomly chosen slice has no raising :

P(x = 0) = (e^-λ * λ^x) ÷ x!

P(x = 0) = (e^-(100/45) * (100/45)^0) ÷ 0!

P(x = 0) = (0.1083680 * 1) / 1

P(x = 0) = 0.108

8 0
2 years ago
Which of the following is a zero of the function f(x) = x3 - x2 - 21x + 45.
marin [14]
The zeros are 3 and -5. Hope this helps!
5 0
2 years ago
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