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3 years ago

11

Evaluate the following for g(0).g(x)=-9x-15

1 answer:

Karolina [17]3 years ago

6 0

G(x)= -9(0)-15
G(x)= -15
The answer is -15

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Write a function rule for the table

jeka57 [31]

The correct answer is B.

Find the slope using the formula m= y2-y1 / x2-x1. You will get 11.50/2, which is p = $5.75 per hour.

6 0

3 years ago

Two collinear points on a line are given in the table below:

katrin [286]

Answer:

$(4,3)$ and $(7,2)$ do not lie on the line

Step-by-step explanation:

Given

$(0,0)\ and\ (2,1)$

Required

Determine which points that are not on the line

First, we need to determine the slope (m) of the line:

$m = \frac{y_2 - y_1}{x_2- x_1}$

Where

$(x_1,y_1) = (0,0)$

$(x_2,y_2) = (2,1)$

So;

$m = \frac{y_2 - y_1}{x_2- x_1}$

$m = \frac{1 - 0}{2-0}$

$m = \frac{1}{2}$

Next, we determine the line equation using:

$y - y_1 = m(x -x_1)$

Where

$m = \frac{1}{2}$

$(x_1,y_1) = (0,0)$

$y - y_1 = m(x -x_1)$ becomes

$y - 0 = \frac{1}{2}(x - 0)$

$y = \frac{1}{2}x$

To determine which point is on the line, we simply plug in the values of x to in the equation check.

For $(4,2)$

$x = 4$ and $y =2$

Substitute 4 for x and 2 for y in $y = \frac{1}{2}x$

$2 = \frac{1}{2} * 4$

$2 = \frac{4}{2}$

$2=2$

<em>This point is on the graph</em>

<em></em>

For $(4,3)$

$x = 4$ and $y = 3$

Substitute 4 for x and 3 for y in $y = \frac{1}{2}x$

$3 = \frac{1}{2} * 4$

$3 = \frac{4}{2}$

$3 \neq 2$

<em>This point is not on the graph</em>

<em></em>

For $(7,2)$

$x = 7$ and $y = 2$

Substitute 7 for x and 2 for y in $y = \frac{1}{2}x$

$2 = \frac{1}{2} * 7$

$2 = \frac{7}{2}$

$2 \neq 3.5$

<em></em>

<em>This point is not on the graph</em>

<em></em>

<em></em> $(\frac{4}{8},\frac{2}{8})$ <em></em>

<em></em> $x = \frac{4}{8}$ and<em> </em> $y = \frac{2}{8}$ <em></em>

<em>Substitute </em> $\frac{4}{8}$ <em> for x and </em> $\frac{2}{8}$ <em> for y in </em> $y = \frac{1}{2}x$ <em></em>

<em></em> $\frac{2}{8} = \frac{1}{2} * \frac{4}{8}$ <em></em>

<em></em> $\frac{2}{8} = \frac{1 * 4}{8 * 2}$ <em></em>

<em></em> $\frac{2}{8} = \frac{4}{16}$ <em></em>

<em></em> $\frac{1}{4} = \frac{1}{4}$ <em></em>

<em></em>

<em>This point is on the graph</em>

3 0

3 years ago

Chloe purchased some dried mango and dried kiwi to make some trail mix. The dried mango cost $2.11 per pound and the dried kiwi

andreev551 [17]

Answer:

Number of pounds of dried mangoes Chloe bought = 3.5

Number of pounds of dried kiwi Chloe bought bough = 6.5

Step-by-step explanation:

Total number of pounds of dried fruit purchased = 10

Let number of pounds of dried mango purchased = $x$

Let number of pounds of dried kiwi purchased be = $y$

Total weight of dried fruits purchased = $x+y$

So, we have a sum equation as:

$x+y=10$

Total cost of dried fruits = $40.34

Cost of a pound of dried mango = $2.11

Cost of $x$ pounds of dried mango in dollars can be given as = $2.11x$

Cost of a dried kiwi = $5.07

Cost of $y$ pounds of dried kiwi in dollars can be given as = $5.07y$

Total cost of dried fruits in dollars = $2.11x+5.07y$

So, we have a cost equation as:

$2.11x+5.07y=40.34$

The system of equations is :

A) $x+y=10$

B) $2.11x+5.07y=40.34$

Solving by substitution.

Rearranging equation A, to solve for $y$ in terms of $x$

Subtracting both sides by $x$

$x+y-x=10-x$

$y=10-x$

Substituting value of $y$ we got from A into equation B.

$2.11x+5.07(10-x)=40.34$

Using distribution.

$2.11x+50.7-5.07x=40.34$

Simplifying.

$-2.96x+50.7=40.34$

Subtracting both sides by 50.7.

$-2.96x+50.7-50.7=40.34-50.7$

$-2.96x=-10.36$

Dividing both sides by -2.96.

$\frac{-2.96x}{-2.96}=\frac{-10.36}{-2.96}$

∴ $x=3.5$

We can plugin $x=3.5$ in the rearranged equation A to get value of $y$

$y=10-3.5$

∴ $y=6.5$

So, number of pounds of dried mangoes Chloe bought = 3.5

Number of pounds of dried kiwi Chloe bought bough = 6.5

5 0

3 years ago

What are the solutions to 2(x-7)^2 = 32?

MariettaO [177]

$2(x-7)^2 = 32\\
(x-7)^2=16\\
x-7=-4 \vee x-7=4\\
x=3 \vee x=11
$

3 0

3 years ago

What is a number <br> between 1.63 and 1.64

Oksi-84 [34.3K]

Answer:

1.635

Step-by-step explanation:

6 0

3 years ago