Evaluate 3(a - c)² - ac for a = -3 and c = 6.

Answer:

20/32 students chose either math or social studies.

Solution:

1/4 is equivalent to 8/32 and 3/8 is equivalent to 12/32 if you add them you get 20/32.

Answer:

function i dont know im looking for the same answer but im pretty sure his salary is going to be 41,960 if you multiply the raise by 6 and 43,520 if you multiply the salary by 7

Step-by-step explanation:

The required Joe's salary will be represented by y = 32600 + 1560(x - 2001) and his salary in the year will be $41,960.

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

Here,
Let Joe's salary after x years be y,
According to the question,
y = 32600 + 1560(x - 2001)

Now,
For year x = 2007
Joes income,
y = 32600 + 1560(2007 - 2001)
y = 32600 + 1560(6)
y = $41,960

Thus, the required Joe's salary will be represented by y = 32600 + 1560(x - 2001) and his salary in the year will be $41,960.

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Answer:

f(x) = -139

Step-by-step explanation:

f(x) = 3x^2 + 10    If f(-7)

f(-7)= 3 * -7^2 + 10

F(-7) = 3 * -49 + 10

f(-7) = -147 + 10

f(-7) = -139

Answer:

-137

Step-by-step explanation:

Explanation:

The term "bisect" means "divide in half", or "divide in two equal pieces".

Angles A = 58 and B = 96 divide in half to get 29 and 48 respectively

Find their sum and subtract it from 180 to get angle AMB

29+48 = 77

180-77 = 103

A diagram is shown below.

Answer:

2c put me as brainlest

Step-by-step explanation:

Let's solve for c.

b=2c+6

Step 1: Flip the equation.

2c+6=b

Step 2: Add -6 to both sides.

2c+6+−6=b+−6

2c=b−6

Step 3: Divide both sides by 2.

2c

2

=

b−6

2

c=

1

2

b−3

Answer:

c=

1

2

b−3

now if ur just looking for the funtipn the asnwer would be 2c i think

Answer:

B. -6+8d-2c  C. -2c+8d-6

Step-by-step explanation:

In order to determine which expressions are equivalent to  you need to set the expression equal to the options available.

Answer:

(1, 4)

Step-by-step explanation:

5x-2y=-3 -2x-y=-6  =>

5x-2y=-3

-2x-y=-6   Multiply all three terms by -2:  4x + 2y = 12

Then we have:

5x-2y=-3

4x + 2y = 12

---------------------

 9x = 9 and so x = 1.  Then, using -2x - y = -6,  and substituting 1 for x:

-2(1) - y = -6, or

2 + y = 6, or

y = 4

Then the solution is (1, 4)

Answer: 3x + 3

Step-by-step explanation:

Answer:

126

Step-by-step explanation:

Let the no. of hamburger be n

Then the no. of cheeseburgers = 3n

3n + n = 504

4n = 504

n = 504 / 4

n = 126

Answer:

Correct!

Step-by-step explanation:

Rational numbers can be expressed as fractions of integers. Negative 22 and 99 are both integers, therefore the number is rational!

Answer:

x = 3

Step-by-step explanation:

This is in vertex notation which means that it is written in y = (x-h)^2 + k format where the vertex is (h,k). In this case the vertex is (3,2) which means that at the x-axis of 3, that is where the parabola is mirrored and is in fact the axis of symmetry

Answer:

Step-by-step explanation:

Answer:

3 1/6

Step-by-step explanation:

look on the attachment i sent

Answer:

m = 7

Step-by-step explanation:

An angle bisector is a line or ray that divides an angle into two equal angles

so ∠WXZ = ∠ZXY

10m - 28 = 5m + 7

10m - 5m = 7 + 28

5m = 35

m = 7

Answer:

16/25

Step-by-step explanation:

Factor 40 out of 640 and 1000

This leaves you with 16 and 25.

Answer:

16/25

Step-by-step explanation:

640/1000

64/100

(divide 4/4)

16/25

The perimeter of a rhombus with vertices p(-2, -3) ,Q(1,1) ,R(4,-3),S(1,-7). is 20 units

A rhombus is a quadrilateral that has all its sides equal to each other.

The rhombus has 4 sides and all it sides are equal.

Therefore,

perimeter of a rhombus = 4l

where

Therefore,

using p(-2, -3) ,Q(1,1)

l = √(1 + 3)² + (1 + 2)²

l = √4² + 3²

l = √16 + 9

l = √25

l = 5 units

Therefore,

perimeter of the rhombus = 4(5) = 20 units

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Answer:

69

Step-by-step explanation:

First add the numbers in brackets

6x13-3^2(that means squared)

Evaluate the power

6x13-9

Multiple

78-9

And calculate

the answer is 69

The difference between 3n³ + 4n² - 9 and -2n³ + 4n - 9 is 5n³ + 4n² - 4n

Given,

The two expressions are:

a = 3n³ + 4n² - 9

b = -2n³ + 4n - 9

We have to find a - b:

That is,

(3n³ + 4n² - 9) - ( -2n³ + 4n - 9)

Open the bracket and multiply (-) with the terms.

That is,

3n³ + 4n² - 9 + 2n³ - 4n + 9

Now solve the expression:

We get,

3n³ + 4n² + 2n³ - 4n

Add 3n³ and 2n²

Then,

5n³ + 4n² -4n

Therefore, the difference between 3n³ + 4n² - 9 and -2n³ + 4n - 9 is 5n³ + 4n² - 4n

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Answer:

The answer is 1

Step-by-step explanation:

3-4= -1

-1+x= 1

Answer:

D. 8x²y² - 15x²y + xy² + 5y

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define Expression

(8x²y² - 9x²y + 9y) - (6x²y - xy² + 4y)

Step 2: Simplify

Answer:

A

Step-by-step explanation:

The radical equation among the following equations will be  7√ x = 14 as it is the only equation that has a radical variable that is √ x.

A radical equation is an equation which has at least one variable to be put on in a radical form.

In this question, we have only one kind of variable which is x. So, we will only analyze that variable only.

Now, we need to find the equation where x is in the radical form.

The radical form can be expressed with square root symbol.

The option with √ x would be only 7√ x = 14.

Therefore, the radical equation among the following equations will be  7√ x = 14 as it is the only equation that has a radical variable that is √ x.

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Your question was incomplete. Please refer the content below.

Which of the following is a radical equation? x+√5=12

x^2=16

3+x√7=13

7√x=14

Answer:

5 times

Step-by-step explanation:

Demos

Answer:

LCM sum: 3

GCF sum: 3

3 + 3 = 6

Step-by-step explanation:

Here I listed all the factors of each number:

15: 1, 3, 5, 15

35: 1, 5, 7, 35

56: 1, 2, 4, 7, 8, 14, 28, 56

As you can see, the LCM of these numbers is 1, since none of the other factors relate to all of the number's factors. This is also the only factor that all three of these numbers share.

1 + 1 + 1 = 3

The GCF of each of the numbers is also 1.

1 + 1 + 1 = 3

Hope this helps! :D

The value of  the variable in the isosceles trapezoid is 24.

Since the measure of one angle should be 63 degrees

And, there is the equation 2x + 15 degrees

So for determining the value of x here we have to equate the equation

So,

2x + 15 = 63

2x = 63 - 15

2x = 48

x = 24

Therefore, The value of  the variable in the isosceles trapezoid is 24.

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Answer:

The line is y=1x+8

Step-by-step explanation:

We can use point-slope form of a line to make an equation. Point-slope form is as follows:

y-y₁=m(x-x₁)

**The variables y₁ and x₁ are where we will plug in our given coordinates and the variable m is your slope.

1. Plug in the given info:

y-10=1(x-2)

2. Distribute the 1:

y-10=1x-2

3. Add 10 to both sides:

y=1x+8

Answer:

She gave 1/3 of the cookies to her neighbor ... Of the cookies that were left, Jane gave 3/4 to her parents, and she ate the rest. ... How many cookies did Jane's parents get if she gave them 3/4 of 16?

Step-by-step explanation:

in order to figure out if we can pay the car, we need to know how much it costs.

Step-by-step explanation:

There needs to be more explanation for people to help you, maybe tou can send a picture so someone can help you.

Answer:

65 cents

Step-by-step explanation:

4.55/7=.65

Answer: he works 37 hours in job A, and 22 hours in job B.

Step-by-step explanation:

Let's define the variables:

A = number of hours that he works at Job A

B  = number of hours that he works at Job B.

We know that he works a total of 59hr per week, then we have:

A + B = 59

And we also know that he makes $494 in one week, then we have the equation:

A*$8 + B*$9 = $494.

Then we have the system of equations:

A + B = 59

A*$8 + B*$9 = $494

To solve this with an augmented matrix, we need to turn these equations into a matrix, where we only write the coefficients as follows:

[tex]\left[\begin{array}{cccc}1&1&I&59\\8&9&I&494\end{array}\right][/tex]

(The I's should represent a line for the augmented matrix, that line separates the values of the coefficients to the right value of each equation)

The first column represents the A coefficients, the second column represents the B coefficients.

To solve this, we want to get something of the form:

[tex]\left[\begin{array}{cccc}1&0&I&x\\0&1&I&y\end{array}\right][/tex]

Where x and y are our solutions.

To do it we can just do: Column 2 - 8*column 1, this will get us to:

[tex]\left[\begin{array}{cccc}1&1&I&59\\8 - 8*1&9 - 8*1&I&494 - 8*59\end{array}\right][/tex]

=

[tex]\left[\begin{array}{cccc}1&1&I&59\\0&1&I&22\end{array}\right][/tex]

Now we can do: Column1 - column2, to get

[tex]\left[\begin{array}{cccc}1 - 0&1 - 1&I&59 - 22\\0&1&I&22\end{array}\right][/tex]

[tex]\left[\begin{array}{cccc}1&0&I&37\\0&1&I&22\end{array}\right][/tex]

Then the solutions are:

1*A =37

1*B = 22

This means that he works 37 hours in job A, and 22 hours in job B.