Let g(x) be a vertical stretch of f(x)=3x-2 by a factor of 4. Write the rule for g(x).

Mathematics

1 answer:

Minchanka [31]2 years ago

7 0

This should be g(x) = 12x - 8, as multiplying 3 by 4 increases the slope.

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What is the value of x in this equation? 2x – 12 = -52

Scrat [10]

Answer:

x = -20

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtract Property of Equality

Step-by-step explanation:

Step 1: Define

2x - 12 = -52

Step 2: Solve for x

Add 12 on both sides: 2x = -40
Divide 2 on both sides: x = -20

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Substitute in x: 2(-20) - 12 = -52
Multiply: -40 - 12 = -52
Subtract: -52 = -52

Here we see that -52 does indeed equal -52.

∴ x = -20 is the solution to the equation.

5 0

2 years ago

Read 2 more answers

9. What is the likelihood that a randomly selected couple's relationship survived between 90 and 150 days

andrew-mc [135]

Answer:

0.5818

Step-by-step explanation:

Suppose the average teenage romantic relationship is normally distributed with a mean number of 100 days with a standard deviation of 30 days.

Answer:

The z score is used to determine how many standard deviations that the raw score is above or below the mean. If the z score is positive then the raw score is above the mean and if it is negative then it is below the mean. It is given by:

$z=\frac{x-\mu}{\sigma}\\ \\where\ \mu=mean,\sigma=standard\ deviation, x=raw\ score$

Given that:

$\mu=100\ days,\sigma=30\ days\\\\For\ x=90\\\\z=\frac{90-100}{30} =-0.33\\\\For\ x=150\\\\z=\frac{150-100}{30} =1.67$

Therefore, from the normal distribution table, P(90 < x < 150) = P(-0.33 < z < 1.67) = P(z < 1.67) - P(z < -0.33) = 0.9525 - 0.3707 = 0.5818

7 0

2 years ago

N x 50 = 5,000. Explain your solution

prohojiy [21]

In order to figure out what N is you have to isolate it by dividing by 50 on both sides as shown below:
$N*50=5000\\\frac{n*50}{50}=\frac{5000}{50}\\n=100$