Write the three smallest integers, so that each of them is greater than… -6

If g(x) is a linear function such that g(-3) = 2 and g(1) = -4, find g(7).

eimsori [14]

<h3>Answer: -13</h3>

=======================================

Explanation:

g(-3) = 2 means x = -3 and y = 2 pair up together to form the point (-3,2)

g(1) = -4 means we have the point (1,-4)

Find the slope of the line through the two points (-3,2) and (1,-4)

m = (y2-y1)/(x2-x1)

m = (-4-2)/(1-(-3))

m = (-4-2)/(1+3)

m = -6/4

m = -3/2

m = -1.5

The general slope intercept form y = mx+b turns into y = -1.5x+b after replacing m with -1.5

Plug in (x,y) = (-3,2) which is one of the points mentioned earlier and we end up with this new equation: 2 = -1.5*(-3) + b

Let's solve for b

2 = -1.5*(-3)+b

2 = 4.5 + b

2-4.5 = 4.5+b-4.5 .... subtract 4.5 from both sides

-2.5 = b

b = -2.5

Therefore, y = mx+b becomes y = -1.5x-2.5 meaning the g(x) function is g(x) = -1.5x-2.5

The last step is to plug in x = 7 and compute

g(x) = -1.5*x - 2.5

g(7) = -1.5*7 - 2.5

g(7) = -10.5 - 2.5

g(7) = -13

6 0

2 years ago

Read 2 more answers

The point at which the number lines intersect on the coordinate plane is the (origin, x-axis).

eduard

It is the origin for you.

4 0

3 years ago

Exhibit 10-7 In order to estimate the difference between the average hourly wages of employees of two branches of a department s

Leokris [45]

Answer:

$E(x)=1$

Step-by-step explanation:

From the question we are told that:

Sample mean 1 $\=x_1=$9$

Sample mean 1 $\=x_2=$8$

Sample standard deviation 1 $\sigma_1 = $2$

Sample standard deviation 1 $\sigma_2 = $1$

Generally the equation for Point estimate is mathematically given by

$E(x)=\=x_1-\=x_2$

$E(x)=9-8$

$E(x)=1$

8 0

2 years ago

Barry buys a television priced at $93. Shipping and handling are an additional 15% of the price. How much shipping and handling

SSSSS [86.1K]

Answer: $13.95

Step-by-step explanation:

93 x 0.15= 13.95

3 0

1 year ago

21. Paul has $900 to invest in a savings account that has an annual interest rate of 1.8%, and a money market account that pays

Iteru [2.4K]

The polynomial that gives the interest earned after a year will have variables, exponents and constants that are joined by operators.

The interest earned after one year is 0.018·x

Reasons:

The amount Paul has to invest = $900

The annual interest rate from the savings account = 1.8%

The amount the money market account pays per year = 4.2 %

Required: The polynomial for the interest Paul earned by investing x dollars in the savings account.

Solution:

The interest earned is found using the compound interest formula as follows;

$\displaystyle A = \mathbf{P \cdot \left(1 + \frac{r}{n} \right)^{n \cdot t}}$

Where;

A = The amount in the account after one year

P = The original amount invested = x

r = The interest rate offered on the investment = 1.8% = 0.018

t = The time of the investment = 1 year

n = The number of times of application of the interest per period = Once per year

Which gives;

Interest = Amount earned = A - P

Therefore;

$\displaystyle Interest, \ I = \mathbf{P \cdot \left(1 + \frac{r}{n} \right)^{n \cdot t} - P}$

Plugging in the values gives;

$\displaystyle I = x \cdot \left(1 + \frac{0.018}{1} \right)^{1 \times 1} - x = x \cdot 1.018^1 - x = 1.018 \cdot x - x = 0.018 \cdot x$

The polynomial equation is therefore;

Interest, I = 0.018·x

Using the simple interest formula, we have;

$\displaystyle Interest = \mathbf{\frac{P \times r \times t}{100}}$

Which gives;

$\displaystyle Interest = \frac{x \times 1.8 \times 1}{100} = 0.018 \cdot x$

Interest earned by investing in the savings account for one year, I = 0.018·x

The polynomial representing the interest earned is I = 0.018·x

Learn more here:

brainly.com/question/11314161

4 0

2 years ago