What are the exact values of the x-intercepts of the function f(x)=x2-8x-6

Find the Net Pay: 40 hours worked, $7.85 an hour. Deductions: Federal tax $32.24, Social Security $24.02, Other $24.53 Answer $3

Trava [24]

For the answer to the question on what is the net pay if you are <span>40 hours worked, $7.85 an hour. Deductions: Federal tax $32.24, Social Security $24.02, Other.

The answer to this question is the last one which is </span><span>$233.21

I hope my answer helped you.</span>

6 0

4 years ago

Read 2 more answers

On a coordinate plane, the location of 3 points are: (0, 6). (5. -4), and (-1-5). Where would the fourth point need to be locate

mario62 [17]

Given:

The three vertices of parallelogram are (0,6),(5,-4),(-1,-5).

To find:

The fourth vertex of the parallelogram.

Solution:

Consider the given vertices of parallelogram are A(0,6), B(5,-4), C(-1,-5).

Let the fourth vertex be D(a,b).

Midpoint formula:

$Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)$

We know that the diagonal of parallelogram bisect each other. It means their midpoints are same.

Midpoint of AC = Midpoint of BD

$\left(\dfrac{0+(-1)}{2},\dfrac{6+(-5)}{2}\right)=\left(\dfrac{5+a}{2},\dfrac{-4+b}{2}\right)$

$\left(\dfrac{-1}{2},\dfrac{1}{2}\right)=\left(\dfrac{5+a}{2},\dfrac{-4+b}{2}\right)$

On comparing both sides, we get

$\dfrac{5+a}{2}=-\dfrac{1}{2}$

$5+a=-1$

$a=-1-5$

$a=-6$

And,

$\dfrac{-4+b}{2}=\dfrac{1}{2}$

$-4+b=1$

$b=1+4$

$b=5$

Therefore, the coordinates of fourth vertex are (-6,5).

8 0

3 years ago

Help me answer this please

Ber [7]

$66 = (2x - 1) \times (x - 1) \\ 66 = 2 {x}^{2} - 3 + 1 \\ 65 - 2 {x}^{2} + 3x = 0 \\ - 65 + 2 {x}^{2} - 3x = 0 \\ 2 {x}^{2} + 10x - 13x - 65 = 0 \\ 2x \times (x + 5) - 13 \times (x + 5) = 0 \\ (x + 5) \times (2x - 13) = 0 \\ \\ x + 5 = 0 \\ 2x - 13 = 0 \\ \\ x = - 5 \\ x = \frac{13}{2} \\ \\$

6 0

3 years ago

Paula has her own business making cakes for

djverab [1.8K]

Answer:

Since Paula has her own business of making cakes for special occasions, and the total price (P) of one of Paula's cakes is represented by the equation P = 0.75S +10, where S is the number of people the cake serves, for determine what does the 0.75 represent in this situation and what does the 10 represent in this equation, the following mathematical reasoning must be carried out:

P is the price of the cake

S is the number of servings

Therefore, 0.75 is the value of each serving, which can be variable (the number of servings can vary)

In turn, 10 is the fixed cost of each cake.

4 0

3 years ago

Please help, math question.

Veseljchak [2.6K]

Part a)
Identify the variable and categories

By reading the above statement, we can find that there are two variables and each variable has 2 categories. The variables and their categories are:
1) Class Number
This variable is further divided into 2 categories i.e. Class 9th and Class 10th.

2) Participation in Extracurricular activities
This variable is further divided into 2 categories based on if students participated or not.

Part b)
Set up and fill 2 way table.

Since, we have 2 variables and each variable has 2 categories the number of data cells will be 2 x 2 = 4 cells

There are total 100 students. 40 students are in class 10th. This means 60 students are in class 9th.Out of 40 students in class 10th, 18 students participate in at least one extracurricular activity. So remaining 22 students do not participate. 32 students from class 9th participate in extracurricular activities, this means the remaining 28 students do not participate. Based on this data, we can fill up the table as shown below

6 0

3 years ago