3. Given: a+b=12 and ab=9
Use (a + b)2 to find a² +bº. (Do not solve for a and b individually)

Answer:

81

Step-by-step explanation:

[tex]2z^2+2z-3[/tex]

Using PEMDAS/BODMAS, we will have to do the exponent first, which is [tex]z^{2}[/tex].

Substitute the variable z with 6, since z = 6.

[tex]2(6^{2} )+2(6)-3[/tex]

[tex]6^{2} =36[/tex].

Thus, we will get

[tex]2(36)+2(6)-3[/tex]

Solve the multiplication next.

[tex]72+12-3[/tex]

Finally, add/subtract the numbers:

[tex]84-3[/tex]

[tex]81[/tex]

The value of the equation 2z² + 2z - 3 at 'z' equal to 6 is 81.

Substitution in mathematics is when we replace some specific numerical values to variables according to our wants or given in the problem.

Given, A quadratic equation 2z² + 2z - 3.

Now, The value of the equation at z = 6 can be obtained if we replace the variable z with it's numerical value which is,

= 2(6)² + 2(6) - 3.

= 2(36) + 12 - 3.

= 72 + 9.

= 81.

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Answer:

B

Step-by-step explanation:

∠ CBD = ∠ ABE ( vertical angles ), thus

7x - 6 = 5x + 14 ( subtract 5x from both sides )

2x - 6 = 14 ( add 6 to both sides )

2x = 20 ( divide both sides by 2 )

x = 10

Thus

∠ ABE = 5x + 14 = 5(10) + 14 = 50 + 14 = 64° → B

Answer:

9 17/24in

Step-by-step explanation:

3 1/12 + 6 5/8 = length of fabric

We can add 3 and 6 since they are whole inches.

3 + 6 = 9

Now we add the fractions

1/12 + 5/8

We need to find a common denominator.

Each number goes into 24 so

1/12*(2/2) = 2/24      and     5/8*(3/3) = 15/24

2/24 + 15/24 = 17/24

So the total length of fabric is 9 17/24in

Answer:

6x+25

Step-by-step explanation:

hope that helps

Answer:

165 inches

Step-by-step explanation:

The scale is 1 to 60, so real measurements are 60 times bigger than drawing measurements.

2.75 inches * 60 = 165 inches

Answer:

Step-by-step explanation:

4x + 9 + 3x + 3 = 33

7x + 12 = 33

7x = 21

x = 3

HJ= 4(3) + 9 = 12 + 9 = 21

JK= 3(3) + 3 = 9 + 3 = 12

Answer:

98

Step-by-step explanation:

So we have the expression:

[tex]6x+10y[/tex]

And we want to evaluate it when x is 3 and y is 8.

So, substitute:

[tex]=6(3)+10(8)[/tex]

Multiply:

[tex]=18+80[/tex]

Add:

[tex]=98[/tex]

And we're done!

Table: To find the unit rate, divide the numerator and denominator of the given rate by the denominator of the given rate.

Graph: On a linear graph, the unit rate is obtained by calculating the slope of the line.

I do not know about the curve in the graph.

if the factory hose pumps out 7.35 liters of chocolate a minute and you have 6 minutes you could multiple and you would get 44.1(7.35x6=44.1)

Answer:

B

Step-by-step explanation:

I think B because look at the line going down

Answer:

2a * 5b

Step-by-step explanation:

2 times a = 2a

5 times b = 5b

The phrase "the product" shows the 2 elements are being multiplied together.

Answer:

[tex]\huge\boxed{\sf x = 5}[/tex]

Step-by-step explanation:

[tex]\sf 3x + 2= 17[/tex]

Subtracting 2 to both sides

[tex]\sf 3x = 17-2\\3x = 15[/tex]

Dividing both sides by 3

[tex]\sf x = 15/3\\x = 5[/tex]

The correct solution to the equation 3x + 2 = 17 is x = 5.

Let's find the correct solution to the equation 3x + 2 = 17:

Step 1: Subtract 2 from both sides to isolate the term with 'x':

3x + 2 - 2 = 17 - 2

3x = 15

Step 2: Divide both sides by 3 to solve for 'x':

3x / 3 = 15 / 3

x = 5

So, the correct solution to the equation 3x + 2 = 17 is x = 5.

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1. renaming a fraction  (C)

2. de-c (C)

Answer:

12.7 miles

Step-by-step explanation:

Note the place values:

12.654

1 (tens value)

2 (ones value)

.

6 (tenths value)

5 (hundredths value)

4 (thousandths value)

~

You are rounding to the nearest tenths value. Note that when rounding, you look at the value directly next to the one you are solving for. If the digit is 5 or greater, round up. If it is 4 or less, round down.

In this case, the hundredths value is a 5, so round up.

12.654 miles rounded to the nearest tenths value is 12.7

12.7 miles is your answer.

Answer:

1. variable by itself with a coefficient of 1 on one side of the equation and all the other variables and constants on the other side.

2.Because solving an equation is to find its solutions, which are the values (numbers, functions, sets, etc.) that fulfill the condition stated by the equation, consisting generally of two expressions related by an equals sign. When seeking a solution, one or more variables are designated as unknowns.

Step-by-step explanation:

3x =4xyz - 12y

+12           +12

3x + 12y

----------

4xy

3x + 12y

---------- =z

4xy

Answer:

it would be 49.5

Step-by-step explanation:

99/2=49.5

Answer:

85 degrees Fahrenheit

Step-by-step explanation:

Answer:

translations are B and D I believe so

Answer:

Just find the coordinate at the point where the x-coordinate is 3

Step-by-step explanation:

F(x) is just another term for Y. The variable of X is the value that you input into the f(x), which just stands for a function. Since the value that they asked for was 3, you know that they inputted the value of 3 as x. Just look where the coordinate at the point where the x-coordinate is 3 to find the answer.

Answer:

Sample Response: For f(3), the input is 3 and you are looking for the output. To determine the function's value when x = 3, go to the value of 3 on the x-axis and then locate the graph for that value of x. Determine the value of y from the y-axis at that location on the graph.

Step-by-step explanation:

answer on edge2020

Answer:

x=11

Step-by-step explanation:

To Solve this equation, you need to understand the rules of complementary angles. In this case, XWY and YWZ make up XWZ. In this case, we would add them

5x+5+2x+8=90

7x+13=90

7x=77

x=11

Given:

The expression is [tex]10 - (-6)[/tex].

Sam's calculation is [tex]10 - (-6) = 10 + (-6) = 4[/tex]

To find:

Whether Sam's thinking correct or not.

Solution:

We have,

[tex]10 - (-6) = 10+6[/tex]       [tex][\because (-)(-)=(+)][/tex]

[tex]10 - (-6) = 16[/tex]

[tex]10 - (-6) \neq 4[/tex]

Therefore, Sam's thinking was incorrect.

On number first we have to move 10 units from 0 in positive direction after that negative sign means move in left direction.

But we have 2 negative signs so we need to move 6 units more on positive or right direct as shown below.

Answer:

Some real numbers are integer

Step-by-step explanation:

Real numbers ;

The answer that makes the sentence true is, some real numbers are integers.

A real number is a number that is both a rational number and an irrational number. Examples of real numbers are 1, 3.14 and 0.

Integers are whole numbers. It is a number without a fraction or decimal component. Integers can either be positive, negative or zero.

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$1.25 for parking the car. $3.50 to park the truck.

Answer:

Toby Vail wis taxed for $456

Step-by-step explanation:

First, we make the deductions:

gross pay 18,200 - 1,500 deductions = 16,700 taxable income

Now, we make the tax-calculations:

first $3,000 x 0.015 =       $ 45

above:

(16,700 - 3,000) x 0.03 =  $411

Total tax levied from the State:  $45 + $411 = $456

Notice how the tax is calcualte in brackets to solve for the different taxation rate at different income levels.

Answer:

this might help you..

The required integers are 3 and 5.

It is required to find the integers.

An integer is a whole number (not a fractional number) that can be positive, negative, or zero. Zero is not a fraction or decimal of any number. It is neither positive nor negative.

Given:

Let smallest  number as x

the Largest number as (x+2)

According to given question we have,

(x+2)=2x-1

3=2x-x

∴x=3

Smallest  number=3

The Largest number =(x+2)=3+2=5

Therefore, the required integers are 3 and 5.

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Answer:

10

Step-by-step explanation:

If there is a direct relation between two variables x and y then it can be represented as

y = kx ,

where y is dependent variable

x is  independent variable

k is constant of variation

_____________________________

First condition

y = 400

x = r

using y = kx then relationship will be

400 = kr

finding k here

k = 400/r

Second condition

y = r

x = 4

using y = kx then relationship will be

r = 4k

finding k

k = r/4

since  in both condition equation is same

thus, value of k will also be same

thus,

400/r = r/4

=> 400*4 = r*r

=> 1600 = r^2

[tex]\sqrt{r^{2} } = \sqrt{1600} \\r = 40[/tex]

Thus, 40 is the value of r

k = r/4 = 40/4 = 10

Thus, constant of variation is 10 which is correct choice.

To cross validate

k = 400/r = 400/40 = 10

Answer:

40

Step-by-step explanation:

[tex]\frac{r}{400}[/tex] = [tex]\frac{4}{r}[/tex]

cross multiply - 400*4 = 1600 and r*r = r^2

square both - √1600 = 40

Answer:A negative number divided by a positive number is always negative

Step-by-step explanation: