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AVprozaik [17]
3 years ago
8

Solve for f. Show your work! 8=f-(13-2)

Mathematics
1 answer:
Nana76 [90]3 years ago
8 0

Answer:

So F=19

Step-by-step explanation:

8=f-(13-2)

8=f-11

+11  +11       You plus 11 by both sides

19=f

You can check you answer by plugging it in

8=19-(13-2)

your answer would still be 19

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Compare and contrast the solution of |2x + 8| > 6 and the solution of |2x + 8| < 6.
svet-max [94.6K]

Answer:

B.

The solution of |2x + 8| > 6 includes all values that are less than –7 or greater than –1.

The solution of |2x + 8| < 6 includes all values that are greater than –7 and less than –1.

__

Step-by-step explanation:

You can find the solution by "unfolding" the absolute value, then dividing by 2 and subtracting 4:

-6 > 2x +8 > 6 . . . . . read this as -6 is less than 2x+8 or 2x+8 is greater than 6

-3 > x +4 > 3 . . . . . . .divide by 2

-7 > x > -1 . . . . . . . . . solution to the first inequality: x is less than -7 or greater than -1.

___

The solution to the other inequality is identical, except the direction of the comparison is reversed. It is read differently, because the segments overlap, rather than being disjoint.

-7 < x < -1 . . . . . . . . solution to the second inequality: x is greater than -7 and less than -1.

__

These descriptions match choice B.

3 0
3 years ago
A policyholder has probability 0.7 of having no claims, 0.2 of having exactly one claim, and 0.1 of having exactly two claims. C
Sladkaya [172]

Answer:

0.89.

Step-by-step explanation:

So, we are given the following data or parameters or information which is going to aid in the solution to this question or problem. So, the data or parameters are;

(1). "probability 0.7 of having no claims, 0.2 of having exactly one claim, and 0.1 of having exactly two claims."

(2). " distributed on the interval [0,60] and are independent."

(3). "The insurer covers 100% of each claim."

So, taking (1) above we will have;

(Total probability= 0.7 + 0.2 + 0.1 = 0.1)

A = { (0.7 × 0)^2 + (0.2 × 1)^2 + ( 0.1 × 2)^2 =( 0.4) +( 0.4) = 0.8.

0.8 + total probability = 0.8 + 0.1 = 0.9.

So, from the question, we are to "Calculate the probability that the total benefit paid to the policyholder is 48 or less."

Hence, P< 48/A = P < 48/0.9 = P < 53.33.

Thus, 53.33/60 = 0.89.

6 0
3 years ago
1,284 to the nearest 100 place
prisoha [69]

1,300 because 8 is over 5 and it rounds the 100th place ,(which is 2), to become a 3 which makes the answer 1,300.

7 0
3 years ago
Read 2 more answers
Triangle △ABC is reflected across line n to create △ A'B'C', What is the measure of ∠C?
Ilya [14]

The measure of ∠C is 54°.

<h3>To solve the problem :</h3>

let us assume that line n is a mirror.

∴ ∠A = ∠A' = 59°

∠B = ∠B' = 67°

∠C = ∠C'

According to property of triangles :

Sum of all angles of a triangle is 180°.

∴ A + B + C = 180°

59 + 67 + C = 180

C = 180 - (59 +67)

C = 54°

<h3>∴ The measure of ∠C is 54°.</h3>

To know more about triangles refer to :

brainly.com/question/1620555

#SPJ2

6 0
2 years ago
F(x) =2x^3 +6 <br><br>G(x) =-4x-1
kifflom [539]
Whether~1.F(x)*G(x),
2. F(x)+G(x),
3.F(G(x)),
4.F(x)=G(x)  ?
3 0
3 years ago
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