Peyton needed to get her computer fixed. She took it to the repair store. The technician at the store worked on the computer for 4 hours and charged her $77 for parts. The total was $497. Write and solve an equation which can be used to determine xx, the cost of the labor per hour.

Answer:

Step-by-step explanation:

Sin² x - Cos² x  = (1 - Cos² x ) - Cos² x                {Sin² x + Cos² x = 1}

                          = 1 - 2Cos² x

                         = - (2Cos x -1)

                          [tex]= -(\dfrac{2}{Sec^{2} x} - 1)\\\\=-(\dfrac{ 2}{Sec^{2} \ x}-\dfrac{Sec^{2} \ x}{Sec^{2} \ x})\\\\=-(\dfrac{2-Sec^{2} \ x}{Sec^{2} \ x})\\\\=\dfrac{2-Sec^{2} \ x }{-Sec^{2} \ x}[/tex]

                          Hence proved

Answer:

It's Associative Property of Multiplication.

                                    Thank You

Answer:

47

Step-by-step explanation:

8(4) + 2(6) + 3 = 47

32 + 12 + 3 = 47

Answer:

19

Step-by-step explanation:

g(x) = x^2 +3

substituing x for 4,

g(4) = 4^2 + 3

g(4) = 16 + 3

g(4) = 19

Answer:

x= HJ+27/7

Step-by-step explanation:

HJ + 27 = 7x

HJ+27/7 = x

Answer:

subtraction property of equality

2x +2 - 2 = 10 - 2

Answer:

it ebtween 10 and negetive 4.5

Step-by-step explanation:

Answer:

The LCM of 25 and 200 is 200.

Explanation:

Find the prime factorisation of 25

25 = 5 × 5

Find the prime factorisation of 200

200 = 2 × 2 × 2 × 5 × 5

Multiply each factor the greater number of times it occurs in steps 1 or 2 above to find the LCM:

LCM = 2 × 2 × 2 × 5 × 5

LCM = 200

Answer:

the HCF of 25 and 200 is 25 because it divides both of them and is maximum factor of them.

LCM of 25 and 200 is 200 because it can be divided by both 200 and 25

The answer you are looking for is 1/5(a+34).

Solution/Explanation:

"Of"="multiplication (x)."

So, therefore, write it like this, to get the better picture and visualization,

1/5 times the sum of a number "a" and "34."

"Sum" obviously is related to "addition."

So, therefore, we can simplify the algebraic expression a little bit more,

1/5 times (a+34).

Now, we can finally write it like this.

1/5x(a+34).

The more proper way to write it, however is like this:

1/5(a+34).

So, therefore, the final answer is 1/5(a+34).

I hope that this has helped you. Enjoy your day, and take care!

The given statement is required in the form of an algebraic expression.

The statement is a fifth of the sum of number a and 34.

The sum means addition

So, the sum is [tex]a+34[/tex]

The statement states a fifth of which, means multiplied by [tex]\dfrac{1}{5}[/tex]

The algebraic expression will be the product of [tex]\dfrac{1}{5}[/tex] and [tex](a+34)[/tex]

The algebraic expression is [tex]\dfrac{1}{5}(a+34)[/tex]

Learn more:

https://brainly.com/question/19245500

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Answer:

2x+2

Step-by-step explanation:

(x+1)(x+2)=0

Because it has the same i think you can just put the x's to together and make it 2x and multiply the 1x2 and that equals 2 so i think its 2x+2 maybe it could be 2x+3 or 2x*3 or 2x*2 but im pretty sure its 2x+2it makes sense because both of the x's are in the front of the + and the 1 and 2 are in the back

Answer:

what is this lol can u tell u

Answer: no

Step-by-step explanation: Use the vertical line test to determine whether or not a graph represents a function. If a vertical line is moved across the graph and, at any time, touches the graph at only one point, then the graph is a function. If the vertical line touches the graph at more than one point, then the graph is not a function.

Answer:

Step-by-step explanation:

[tex]f(x)=y=(2x+1)^3\\Exchanging\ x\ and\ y\\\\x=(2y+1)^3\\\\\\Finding\ y\\\sqrt[3]{x} =2y+1\\\\2y=\sqrt[3]{x}-1\\\\\boxed{y=\dfrac{\sqrt[3]{x}-1}{2} =f^{-1}(x)}[/tex]

Answer:

32.

Step-by-step explanation:

Let the number of red marbles be x then the number of blue = 2x

So we have 8 red and 16 blue marbles.

If the total number of marbles are y marbles the number of white one = y/4.

So  y = y/4 + 8 + 16

3/4y = 24

y = 24 * 4/3

= 96/3

= 32 marbles.

=

Answer:

RS = 17

Step-by-step explanation:

QS = 62

RS = ?

QR = 45

QS - QR = RS

62 - 45 = 17

Thus RS = 17

Answer:

a. $2100 b. $945000

Step-by-step explanation:

You have to divide 525000 and 250 to solve for "a". To solve for "b" you need to find %100 of the profit and do %100 of the profit times 0.45 to see how much is %45 of profit.

Answer:

you have to substitute the value of the variables then solve

Answer:

4x^2 -12x +9

now

4 x 9 = 36

first take out the LCM of 36

it will be

2 x 2 x 3 x 3

4x^2 -6x -6x +9

2x(2x-3) -3(2x-3)

(2x-3)(2x-3)

it is showing that

2x-3 is the length for part A

Answer:

Hi, there!

Lines of latitude are also called parallels because they never touch one another.

Step-by-step explanation

Circles of latitude are often called parallels because they are parallel to each other; that is, planes that contain any of these circles never intersect each other:

Answer: 174

Step-by-step explanation:

Answer:

89

Step-by-step explanation:

show your work

Answer:

$1170

Step-by-step explanation:

you will have to multiply the the rate you earn hourly by 45hours then it will state the more you'll be making hourly $26×45=$1170

Answer:

-2 degrees per hour

Step-by-step explanation:

Rate of change = -3 1/2 / 1 3/4

= -7/2 / 7/4

= -7/2 * 4/7

= -28/14

= - 2

interval notation of x<2

x=1

Answer:

2/3

I hope this helps!! :)

Answer:

25% increase

Step-by-step explanation:

= [tex]\frac{150-120}{120}[/tex] x 100

= [tex]\frac{30}{120}[/tex] x 100

= 0.25 x 100

= 25% increase

Answer:

Movements of tectonic plates create volcanoes along the plate boundaries, which erupt and form mountains. A volcanic arc system is a series of volcanoes that form near a subduction zone where the crust of a sinking oceanic plate melts and drags water down with the subducting crust.

Answer:

[tex]2b^2 + c^2 + 2ab + 2ac + 2bc[/tex]

Step-by-step explanation:

Whenever you have a parentheses to a power of a number you have to make it the parentheses times itself, so (a+b+c)^2 becomes (a+b+c)(a+b+c), where you then multiply a by a, a by b, a by c, b by a, b by b, b by c, and so on and then add all those numbers up. If you do that you would get a^2 + ab + ac + ab + b^2 + bc + ac + bc + c^2, where you then add them up to get a^2 + b^2 + c^2 + 2ab + 2ac + 2bc. Since you have - a^2 after this, you cancel out the a^2, and finally, you have + b^2 so you add b^2 to it and you get a final answer of 2b^2 + c^2 + 2ab + 2ac + 2bc.

Answer:

am I supposed to change this to a statement like a sentence then one is to fifty thousand

Answer:

7b(a+2)

Step-by-step explanation:

First. look at the coefficient. See if they are common multiple of some number. If so find the GCF between them.

Then find the variable both terms share.

Put the GCF coeffiecnt and the variable both terms share outside the parentheses.

Inside the parenthesis will be a term that multiplied by the term outside of the parenthesis will equal the original equation.

For example, 7ab+14b.

Set up equation.

[tex]7ab + 14b[/tex]

Both terms share a b variable and 7 and 14 GCF is 7 so

let factor out 7b.

[tex]7b(a + 2)[/tex]

Why is inside the parenthesis is the term (a+2). If we divide 7ab+14b by 7b separately we get

[tex]a + 2[/tex]