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2 years ago

Given the definitions of f(x) and g(x) below, find the value of g(f(-1)).

Mathematics

1 answer:

Reptile [31]2 years ago

5 0

Answer:

-14

Step-by-step explanation:

$f(x) = -4x – 7 \\ plug \: x = - 1 \\ f( - 1) = - 4( - 1) - 7 = 4 - 7 = - 3 \\g(x) = x² + 7x – 2 \\g(f( - 1)) = {( - 3)}^{2} + 7( - 3) - 2 \\ = 9 - 21 - 2 \\= - 14$

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Paul [167]

What's the question and are the jobs making food and bringing it to tables

6 0

3 years ago

The contrapositive of p q is:

Kay [80]

Some symbols are missing. I'm assuming you meant to put in a horseshoe symbol like so $p \supset q$

If so, then the contrapositive of that would be $\sim q \supset \ \sim p$ which is the final answer.

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6 0

3 years ago

When playing the roulette at a casino, you have exactly 1/35 chance of winning in each round if you play a single number. Your f

Vikentia [17]

Answer:

0.2275 = 22.75% probability that you actually won that round

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Fireworks going off

Event B: You won

Probability of fireworks going off.

100% of 1/35 = 0.0286(when you win)

10% of 34/35 = 0.9714(you lost). So

$P(A) = 0.0286 + 0.1*0.9714 = 0.12574$

Probability of you winning and fireworks going off:

100% of 1/35, so $P(A \cap B) = 0.0286$

If you failed to see the outcome of a round, but you see the fireworks going off, then what is the probability that you actually won that round?

$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.0286}{0.12574} = 0.2275$

0.2275 = 22.75% probability that you actually won that round

8 0

3 years ago

HELP PLEASE!! ITS SOLVING SYSTEMS BY ELIMINATION PIC BELLOW

il63 [147K]

First of all, try to understand the questions then try to make a pair of linear equations. After that make the coefficients of x or y equal in both RFD equations by multiplying them by suitable values then add or subtract them ,in such a way which will terminate any one of the variables. Then find the value of left variable. After that just put the value you have found just now In any of the equations and you'll really get the value of the second variable too.

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3 years ago

An investigative question in your employee satisfaction study seeks to assess employee ""job involvement."" Create a measurement

dexar [7]

Answer:

A) A graphic rating scale- a scale where the participant places his or her response along a line or continuum; the score or measurement is its distance in millimeters from either endpoint.

B) A multiple rating list- a single interval or ordinal numerical scale where raters respond to a series of objects; results facilitate visualization.I will recommend a multiple rating list, because it is an easier process to conduct in a employee environment.

Step-by-step explanation:

6 0

3 years ago