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1 year ago

For all real numbers a, b, and c, which of the following expressions is equal to l a-b-c | ?

Mathematics

1 answer:

Roman55 [17]1 year ago

6 0

Answer:

D/J

Step-by-step explanation:

If a=1 b=2 c=3 the expression is equal to 4

Only D is also equal to 4 because every sign is inverted

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The diagram below shows part of the graph of the quadratic function f(x)=a(x-h)(x-k) with the condition h<k. Point P is the m

Valentin [98]

Answer:

see explanation

Step-by-step explanation:

(a)

The zeros are x = 1 and x = 5, thus the factors are (x - 1) and (x - 5)

f(x) = a(x - 1)(x - 5)

To find a substitute (0, 15), the coordinates of the y- intercept into the equation.

15 = a(0 - 1)(0 - 5) = a(- 1)(- 5) = 5a ( divide both sides by 5)

a = 3

Thus h = 1, k = 5, a = 3 and

f(x) = 3(x - 1)(x - 5)

(b)

The axis of symmetry is a vertical line with equation x = c ( c is a constant )

The axis of symmetry passes through the midpoint of the zeros

x = $\frac{1+5}{2}$ = $\frac{6}{2}$ = 3

Equation of axis of symmetry is x = 3

(c)

The axis of symmetry passes through P, with x- coordinate x = 3

Substitute x = 3 into the function for corresponding value of y

f(3) = 3(3 - 1)(3 - 5) = 3(2)(- 2) = - 12

Coordinates of P = (3, - 12 )

6 0

3 years ago

Read 2 more answers

Isaac keeps track of the amount of money in his savings certificate each month. He has accumulated the following data:

Dafna1 [17]

Answer:

d. The common ratio is 1.1

Step-by-step explanation:

To see if the data has a common ratio or common difference, we have to see if the division between them is equal(common ratio), or if the difference between them is equal(common difference).

In this case, since $60.5 - 55 \neq 55 - 50$ , it has a common ratio.

To find it, we divide consecutive terms. For example:

$\frac{55}{50} = 1.1$

So the correct answer is:

d. The common ratio is 1.1

3 0

2 years ago

Write the equation of the line

zysi [14]

-6 minus 6=0 i think it is correct

8 0

2 years ago

HELP HELP HELP HELP PLEASEEE

Sphinxa [80]

The valid probability distributions are the ones in options C and D.

<h3>Which of the following are valid probability distributions?</h3>

For discrete random variables with probabilities p₁, p₂, ..., pₙ, there are two rules:

All of these probabilities are numbers between 0 and 1.
p₁ + p₂ + ... + pₙ = 1.

So, for the first rule we can discard the first option, where we have negative probabilities.

To check the other 4 options, just add the probabilities and see if the addition gives 1.

The options that add up to 1 are C and D, so these two are the correct options.

D: 1/5 + 1/10 + 1/10 + 1/10 + 1/5 + 1/10 + 1/10 + 1/10 = 1

C: 1/6 + 1/6 + 1/6 + 1/6 + 1/6 + 1/6 = 1

If you want to learn more about probability:

brainly.com/question/25870256

#SPJ1

3 0

1 year ago

PLEASE HELP! is slope = undefined the same as y = 0?

olchik [2.2K]

An undefined slope is NOT the same as y= 0, since it is a vertical line. The x-coordinate never changes even if the y-coordinate is different. There is no run.

7 0

2 years ago