Find (f+g)(x).
f(x) = 2x2 – 2x+7
g(x) = 4x2 – 2x + 9

Answer:

x^2 + -9 x + 18 = (x - 9) x + 18 = (x - 6) (x - 3) all three are alternanate forms.

Step-by-step explanation:

Expand the following:

(x - 6) (x - 3)

Hint: | Multiply x - 6 and x - 3 together using FOIL.

(x - 6) (x - 3) = (x) (x) + (x) (-3) + (-6) (x) + (-6) (-3):

x x - 3 x - 6 x - 6 (-3)

Hint: | Combine products of like terms.

x x = x^2:

x^2 - 3 x - 6 x - 6 (-3)

Hint: | Multiply -6 and -3 together.

-6 (-3) = 18:

x^2 - 3 x - 6 x + 18

Hint: | Group like terms in x^2 - 3 x - 6 x + 18.

Grouping like terms, x^2 - 3 x - 6 x + 18 = x^2 + (-3 x - 6 x) + 18:

x^2 + (-3 x - 6 x) + 18

Hint: | Combine like terms in -3 x - 6 x.

-3 x - 6 x = -9 x:

Answer:  x^2 + -9 x + 18 = (x - 9) x + 18 =(x - 6) (x - 3)

Answer:

14?

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Answer:

MP= (-6,-1)

Step-by-step explanation:

midpoint formula: [tex](\frac{x^{1}+x^{2} }{2})(\frac{y^{1} + y^{2} }{2} )=MP[/tex]

(-7,-7) ([tex]x^{1}[/tex],[tex]y^{1}[/tex])

(-5,5)  ([tex]x^{2}[/tex],[tex]y^{2}[/tex])

[tex](\frac{-7+-5}{2}) \\ (\frac{-7+5}{2})[/tex]= -7+-5/2= -12/2= -6

-7+5/2= -2/2= -1

Answer:

I think 3 is the median.....

Answer: It was reduced by 25%

Step-by-step explanation: to go from $60 to $45, you would've gone down $15. 15, or $15, if 1/4 of 60, or $60. 1/4 also is 25%, so the price would have gone down by 25%.

d. 1440

I'm guessing you mean hours in a school yr

8 hrs in a day x 180 days = 1440 hrs in 1 school yr

how many 'hours' are there in a school year?

answer: D

8 hours a day x 180 days ( one school year)

8 x 180

= 1440 hours

The solution for the expression is x = -4.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

To solve for x in the equation

(9/8)^(3x+12) = 1

we can take the natural logarithm of both sides and use the properties of logarithms to simplify.

ln[(9/8)^(3x+12)] = ln(1)

(3x+12) ln(9/8) = 0 (since ln(1) = 0)

3x + 12 = 0 (since ln(9/8) ≠ 0)

3x = -12

x = -4

Therefore,

The solution is x = -4.

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Answer:

37 1/3 cm

Step-by-step explanation:

21 + 7 = 28

28 + 9 = 37

37 + 1/3 = 37 1/3

LCM of 7,8 and 9 is 504

7=1,7

8=2x2x2

9=3×3

LCM =2x2x2x3x3x7 =504

Answer:

3

1

4

-2

Step-by-step explanation:

imma math mannnnn

Answer:

Step-by-step explanation:

Let pens be=m+15

Total=40

m+15=40

m=40-15

m=25

Markers=25

Hope this helps!

Answer:

Perimeter = 6x² + 8x

Step-by-step explanation:

Perimeter = 2(length + width)

perimeter = 2((x²+x)+(2x²+3x))

perimeter = 2(x²+2x² + x+3x)

perimeter = 2(3x² + 4x)

perimeter = 2*3x² + 2*4x

perimeter = 6x² + 8x

Answer:

[tex]x = -3[/tex]

Step-by-step explanation:

[tex]3x - 2 = 4x + 1[/tex]

Now taking 3x to right hand side of the eqn . & +1 to the left side eqn. , sign of 3x changes to -3x & +1 changes to -1 .

[tex]-2-1 = 4x - 3x[/tex]

Now solving this , we get the value of x.

[tex]4x - 3x = -2 -1\\=> x = -3[/tex]

Answer:

The answer for x is x = -3

Step-by-step explanation:

hope this helps

Answer:

∠RSU is equal to 39

Step-by-step explanation:

∠RST = 90.

So, 90 - 51 = 39

So ∠RSU = 39

Hope this helps!!

Answer:

39°

Step-by-step explanation:

I hope this helps!

Answer:

Step-by-step explanation:

y=-4

Answer:

x=1

Step-by-step explanation:

1/2(8-6x)=x

Distribute

1/2 * 8 - 1/2 * -6x = x

4 -3x = x

Add 3x to each side

4 -3x+3x= x+3x

4 = 4x

Divide each side by 4

4/4 = 4x/4

1= x

The time to travel 190 miles will be 5 hour.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Charlotte drove 304 miles in 8 hours.

And, She continued at the same rate.

Now,

Since, Charlotte drove 304 miles in 8 hours.

Hence, The speed is,

Speed = Distance / time

          = 304 / 8

          = 38 miles / h

So, For travel 190 miles at same rate;

Time = Distance / Speed

       = 190 / 38

       = 5 hour

Thus, The time to travel 190 miles will be 5 hour.

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Answer:

t=1

Step-by-step explanation:

7t-8t+4=5t-2

-1t+4=5t-2

-1t+6=5t

6=6t

1=t

Check

7t-8t+4=5t-2

7(1)-8(1)+4=5(1)-2

-1+4=5-2

3=3

please give brainlist

t=1/3

hope this helped

y = x + 8

Subtract 8 from both sides

y - 8 = x

Answer:

x= y-8

Step-by-step explanation:

Hope this helps.

Answer:

b=3

Step-by-step explanation:

-7+1/3b=-6

+7         +7

1/3b=1

*3    *3

b=3

Answer:

Stay the same

Step-by-step explanation:

1 * x = x it will stay the same

Answer:

1/13

Step-by-step explanation:

this is because you have an equal probability of choosing any of the 13 different cards

Answer:

Step-by-step explanation:

Here is a picture of the answer, since I couldn't put into words!

The mass of 15 liters of oil is 13.65 kg.

Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.

The operator that performs the arithmetic operations are called arithmetic operators.

* Multiplication operation: Multiplies values on either side of the operator

For example 4*2 = 8

/ Division operation: Divides left-hand operand by right-hand operand

For example 4/2 = 2

Density is the ratio of the mass of the body to the volume of the body.

Density = Mass / Volume

Given that oil has a density of 0.91 grams per milliliter

To determines the mass, in kilograms, of 15 liters of this oil

Rearranging the equation,

Mass = Density × Volume

∵ 15 liters = 15000 milliliters (ml)

So, 0.91g/ml x 15000ml = 13650g

∵ 1 kilogram = 1000grams

⇒ 13650g / 1000g/kg

⇒ 13.65kg

Thus, the mass of 15 liters of oil is 13.65kg.

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Answer:

D. [tex] 8 {m}^{ - 1} n[/tex]

Step-by-step explanation:

[tex] \huge \frac{(4 {m}^{2} n)^{2} }{2 {m}^{5}n } \\ \\ \huge= \frac{16 {m}^{4} {n}^{2} }{2 {m}^{5}n } \\ \\ \huge = 8 {m}^{4 - 5} {n}^{2 - 1} \\ \\ \huge \purple{ \boxed{= 8 {m}^{ - 1} n}}[/tex]

Answer:

8m^-1n

Step-by-step explanation:

Answer:

18,500 because youvadd 500