What is the volume of a rectangular prism with the dimensions 7m 8m and 9m

The ordered pairs (−4,−3)

lilavasa [31]

The equations and inequality expresses the relationship between the variables.

The correct responses are;

First part; The rule that represent the function is; y = 0.5·x - 1

Second part; the correct option is the inequality; 2·n - 6 ≥ 35

Third part; $\displaystyle \underline{b = \frac{- a\cdot x^2 - c}{x}}$

Fourth part; Table 4

Fifth part; $\displaystyle \underline{y < -\frac{1}{2} \cdot x - 4}$

Sixth part; 75·w + 55 ≤ 400

Reasons:

First part;

The difference between y-values following a change in 2 units of the x-value is a constant, and is equal to 1;

The rate of change of the function, m, is therefore;

$\displaystyle m = \frac{2 - 1}{6 - 4} = \frac{1}{2} = 0.5$

The slope and intercept form of the equation of the function is therefore;

y - 3 = 0.5·(x - 8) = 0.5·x - 4

y = 0.5·x - 4 + 3 = 0.5·x - 1

The rule that represent the function is; y = 0.5·x - 1

Second part;

2·n represent twice the number

The difference between twice the number and 6 = 2·n - 6

At least 35 = ≥ 35

Therefore, the inequality is; 2·n - 6 ≥ 35

Third part;

The given quadratic equation is; a·x² + b·x + c = 0

Therefore;

$\displaystyle \underline{b = \frac{-c - a\cdot x^2}{x}}$

Fourth part;

The best correct option is table 4, given that the table is as follows;

$\begin{tabular}{|c|cc|}In&&Out\\Not clear&&\\9&&17\\10&&19\end{array}\right]$

Fifth part;

The y-intercept of the graph is -0.5

The slope is -4 ÷ 8 = -0.5

Therefore, the equation is; y = -0.5·x - 4

The shaded area is the area lower than the y-values, with broken lines (indicating < relationship) which gives, the correct inequality as follows;

$\displaystyle \underline{y < -\frac{1}{2} \cdot x - 4}$

Sixth part;

The amount Jordan part-time job pays = $75

The amount he has already saved = $55

The cost of the iPhone = $400

Let w represent the number of weeks Jordan works, at his part-time job to purchase the iPhone, we have;

75·w + 55 ≤ 400

Learn more about writing equations and inequalities here:

brainly.com/question/14321394

3 0

2 years ago

Caroline earns $49000 a year, and her friend Jennifer earns $51000 a year but doesn't belong to a health fund. The tax rule this

Lina20 [59]

Answer:

Caroline has to pay $8600 taxes

Jennifer has to pay $10320 taxes

Step-by-step explanation:

I guess the question is who has to pay how much taxes, right ?

Caroline earns $49000, and I guess, she belongs to a health fund.

she has to pay $5000 for the first $40000.

and for the remaining $9000 she has to pay $0.40 per dollar.

that means 9000×0.4 = $3600

and no penalties for no health fund.

so altogether $5000 + $3600 = $8600 taxes

Jennifer earns $51000 and did not belong to a health fund.

she has to pay $9000 for the first $50000.

and for the remaining $1000 she had to pay $0.30 part dollar.

that means 1000×0.3 = $300

and 2% of the total income because no health fund

51000×0.02 = $1020

so, altogether $9000+$300+$1020 = $10320 taxes

5 0

3 years ago

Convert 7500cm to meters

olya-2409 [2.1K]

Answer: 75 meters

Step-by-step explanation: In this problem, we're asked to convert 7,500 centimeters into meters which means we use the conversion factor for centimeters and meters.

Conversion factor ⇒ 100 centimeters = 1 meter

Next, notice that we're converting from a smaller unit "centimeters" to a larger unit "meters" and when we convert from a smaller unit to a larger unit we divide by the conversion factor.

So we divide 7,500 by the conversion factor which is 100.

7,500 ÷ 100 = 75

Therefore, 7,500 centimeters = 75 meters.

4 0

3 years ago

Liam wants to buy a car. He has $100. The car that he wants costs $120,000. His parents is willing to give him $1,300. How long

mario62 [17]

Suspecting that his parents are going to give him $1,300 continually you would solve like this

$120,000-$100= $19,900
$19,900/$1,300= 92.23
92.23 is the amount of $1,300 donations it would take from his parents, so if he was getting $1,300 month it would take 92.23 months

5 0

3 years ago

I need help for Part A and B

Tamiku [17]

Step-by-step explanation:

A

The probability of wining is 1/4 so it's 25%. so if you win you either win one of 2 object, so we have to divide the chance of wining by the number of object, so (25%)/2

A it's ,12.5% chance of wining the mug

B yes, it will change if she pics the mug first, it will be 25% because it's guaranteed that she will get the mug if she wins

8 0

4 years ago