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rusak2 [61]
3 years ago
8

What is the product? (5r + 2)(3r − 4)

Mathematics
1 answer:
Anarel [89]3 years ago
6 0
Distribute the first set of parenthesis 

<span><span>15<span>r<span><span>​2</span><span>​​</span></span></span>−20r+6r−8</span><span>
Combine like terms

</span><span><span>15<span>r<span><span>​2</span><span>​​</span></span></span>+(−20r+6r)−8</span><span>
Simplify your answer

</span><span>15<span>r<span><span>​2</span><span>​​</span></span></span>−14r−8

*Answer is </span>15r^2​​−14r−8*<span><span>
</span></span>
</span></span>
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A class consists of 13 boys and 10 girls. They want to elect officers so that the president and secretary are girls, and the vic
Viktor [21]

Answer:

10 boys and ten girls

Step-by-step explanation:

if there are 13 boys and 10 girls,and 3 boys dont participate,then there are 10 boys. making there an equal ammout of boys and girls.

not sure if this is what you were asking but if it was then i hope it helps

8 0
3 years ago
Image attachment below, Algebra 1 stuff
chubhunter [2.5K]
I know you didn't want an explanation, but I'll give you one anyway.
So, for a function, when you have f(5) = , then you'll put that 5 in for all of the x's in the function. 

The first batch of problems gave you the equation f(x) = \frac{x}{2} + 3. Now, plug in the numbers given for s and solve.

1. f(5) = <span>\frac{x}{2} + 3   Plug in 5 for x
</span>         = \frac{5}{2} + 3   Make three into a fraction over 2
         = \frac{5}{2} + <span>\frac{6}{2}   Add
         = </span><span><span>\frac{11}{2}

</span>2. f(-4) = </span><span>\frac{x}{2} + 3   Plug in -4 for x
           = </span><span>\frac{-4}{2} + 3   Divide -4 by 2
           = -2 + 3   Add
           = 1

For the next set, you have g(x) = x</span>² + 1.

3. Let's split this up. Solve the first equation, then the second, and then put         the answers together to solve it.

g(4) = x² + 1   Plug in 4 for x
       = 4² + 1   Square
       = 16 + 1   Add
       = 17

g(3) = x² + 1   Plug in 3 for x
       = 3² + 1   Square
       = 9 + 1   Add
       = 10

Now, put the two together.

g(4) + g(3) =    Substitute in the answers you just got.
      17 + 10 =    Add
                  = 27         

4. g(-1) = x² + 1      Substitute in -1 for x
            = (-1)² + 1   Square
            = 1 + 1        Add
            = 2

5. g(-6) = x² + 1       Plug in -6 for x
             = (-6)² + 1   Square
             = 36 + 1      Add
             = 37

For the last set, we have h(x) = x² + 7 and k(x) = 4x - 5. We'll have to pay close attention to the starting variables here.

6. h(-6) = x² + 7       Plug in -6 for x
             = (-6)² + 7   Square
             = 36 + 7      Add
             = 43

k(4) = 4x - 5     Plug in 4 for x
       = 4(4) - 5   Multiply
       = 16 - 5      Subtract
       = 11

Put the two answers into the final equation.

h(-6) + k(4) =    Substitute in the answers you got
       43 + 11 =    Add
                   = 54

7. k(10) = 4x - 5       Plug in 10 for x
            = 4(10) - 5   Multiply
            = 40 - 5      Subtract
            = 35

h(2) = x² + 7   Plug in 2 for x
       = 2² + 7   Square
       = 4 + 7     Add
       = 11

Now, put those into the equation.

k(10) - h(2) =    Plug in the answers you got
       35 - 11 =    Subtract
                  = 24

8. For this one, it wants you to add h(x) and k(x). We don't need to plug anything into the equations this time because they're both already solved for x! So, you can just set this up like a standard find-x equation.

(x² + 7) + (4x - 5) =
    x² + 7 + 4x - 5 =   Combine like terms (7 and -5)
         x² + 2 + 4x =    Reorder so the variables come first
                            = x² + 4x + 2

  
4 0
3 years ago
Read 2 more answers
What is the justification for each step in the solution of the equation?
Alexandra [31]

For this case we have the following equation:

\frac{2}{3}x-\frac{1}{3}= 2 (x + 2)\\

If we multiply both sides of the equation by 3 we get:

2x-1 = 6 (x + 2) ---> Multiplication Property of Equality

Applying the distributive property we have:

2x-1 = 6x + 12 ---> Distributive Property

Adding 1 on both sides of equality we have:

2x-1 + 1 = 6x + 12 + 1\\

2x = 6x + 13 ---> Addition Property of Equality

Subtracting 6x on both sides we have:

-6x + 2x = 6x-6x + 13\\

-4x = 13 ---> Subtraction Property of Equality

Finally, dividing by -4 on both sides we have:

\frac{-4x}{-4}= \frac{13}{-4}\\

x = -\frac{13}{4}---> Division Property of Equality


5 0
3 years ago
Read 2 more answers
How do u convert decimals to percents and percents to decimals????????
Oduvanchick [21]

Answer:

To convert a decimal to percent, just multiply it by 100, or move the decimal place 2 times

Ex: 0.29 x 100 = 29

The answer would be 29%

To convert a percent to a decimal, do the opposite

Ex: 29%/100 = 0.29

4 0
3 years ago
Read 2 more answers
When elements combine to form a mixture, the resulting chemical properties may be very different from those of the elements that
Ipatiy [6.2K]
When ever you combine different elements the chemical properties change because elements are different , unless you combine the exact same elements.
3 0
3 years ago
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