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3 years ago

I need some help! thank you!

Mathematics

1 answer:

Step2247 [10]3 years ago

7 0

Answer:

The 1st,Thrid, Fifth Option

Step-by-step explanation:

The first option is true. We can move the orginal square root function to get g(x).

The second option is false. Function g(x) which equals

$\sqrt{x - 3} - 1$

Domain is all real numbers greater than or equal to 3.

The third option is true. Since minimum point we can get is 0 in a square root function. We have a vertical shift so our new minimum point is

$0 - 1 = - 1$

We can take the sqr root of 0 so

So all real numbers that are greater than or equal to -1 is true.

The fourth option is false, we need to add 3 instead of subtract 3.

The fifth option is true, we can do that to get back to our original function

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Jean bought a $1,980 snow thrower on the installment plan. The installment agreement included a 10% down payment and 18 monthly

Effectus [21]

Solution-

The price of the snow thrower = $1980

He must pay a 10% down-payment and the rest at a $116 monthly payment for 18 months.

A. How much is the down payment

Down payment amount is, 10% of $1980, i.e

$=1980\times \dfrac{10}{100}=\dfrac{1980}{10}=\$198$

B. What is the total amount of the monthly payments

A monthly payment of $116 for 18 months, i.e

$=116\times 18=\$2088$

C. How much did Jean pay for the snow thrower on the installment plan

It is the sum of down-payment and total monthly payments, i.e

$=198+2088=\$2286$

D. What is the total finance charge

It the difference between the original price and the amount paid by Jean, i.e

$=2286-1980=\$306$

E. If Jean models her payment plan as an arithmetic sequence, give the first term a1 and the common ratio d

As he paid the down-payment of $198 and then a constant monthly payment of $116, so

The first term = 198

common difference = 116

The A.P. series will be, 198, 314, 430, 546, 662,.................., 2286

4 0

3 years ago

Over a period of 12 hours the temperature dropped 36 degrees Fahrenheit. What was the average change in temperature in one hour

Mama L [17]

Answer:

3 degrees

Step-by-step explanation:

36 degrees divided by the hours it took to drop that much will get you the answer

36/12 is 3

4 0

2 years ago

Find the slope of each line and then determine if the lines are parallel, perpendicular or neither. If a value is not an integer

Aleonysh [2.5K]

As given by the question

There are given that the point of two-line

$\begin{gathered} (1,\text{ 7) and (5, 5)} \\ (-1,\text{ -3) and (1, 1)} \end{gathered}$

Now,

From the condition of a parallel and perpendicular line

If the slopes are equal then the lines are parallel

If the slopes are negative reciprocal then the lines are perpendicular

If the slopes are neither of the above are true then lines are neither

Then,

First, find the slope of both of line

So,

For first-line, from the formula of slope

$\begin{gathered} m_1=\frac{y_2-y_1}{x_2-x_1} \\ m_1=\frac{5_{}-7_{}}{5_{}-1_{}} \\ m_1=-\frac{2}{4} \\ m_1=-\frac{1}{2} \end{gathered}$

Now,

For second-line,

$\begin{gathered} m_1=\frac{y_2-y_1}{x_2-x_1} \\ m_1=\frac{1_{}-(-3)_{}}{1-(-1)_{}} \\ m_1=\frac{4}{2} \\ m_1=2 \end{gathered}$

The given result of the slope is negative reciprocal because

$\begin{gathered} -\frac{1}{2}=-(-\frac{2}{1}) \\ -\frac{1}{2}=2 \end{gathered}$

Hence, the slope of line1 is -1/2, and slope of line2 is 2 and the lines are perpendicular.

5 0

1 year ago

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Morgarella [4.7K]

I think is
4x - 3 (-2) = 18
4x + 6 = 18
4x = 12
x = 3

5 0

3 years ago

A shade of green paint is made by mixing blue paint and yellow paint in the ratio of 4 to 3. How many pints of blue paint and ye

nexus9112 [7]

Answer:

$Blue = 12$

$Yellow = 9$

Step-by-step explanation:

Given

$Blue : Yellow = 4 : 3$

Required

Determine the number of pints of each to make 21 of green paints

First, calculate the total ratio.

$Total = 4 + 3$

$Total = 7$

The blue and the yellow pint can be represented individually as:

$Blue = \frac{4}{7} * Green$

$Yellow = \frac{3}{7} * Green$

Number of blue paint calculated last week is:

$Blue = \frac{4}{7} * 21$

$Blue = {4} * 3$

$Blue = 12$

$Yellow = \frac{3}{7} * Green$

$Yellow = \frac{3}{7} * 21$

$Yellow = {3} * 3$

$Yellow = 9$

8 0

3 years ago