Given: g(x) = -3x + 5x and h(x) = 2x +1
Find: g(h(x+1)

Answer:

seven time (multiplied by) x

Step-by-step explanation:

entered :

-|3x-9|+2=-4

Step by step solution :

STEP

1

:

Rearrange this Absolute Value Equation

Absolute value equalitiy entered

-|3x-9|+2 = -4

Another term is moved / added to the right hand side.

To make the absolute value term positive, both sides are multiplied by (-1).

|3x-9| = 6

STEP

2

:

Clear the Absolute Value Bars

Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.

The Absolute Value term is |3x-9|

For the Negative case we'll use -(3x-9)

For the Positive case we'll use (3x-9)

STEP

3

:

Solve the Negative Case

-(3x-9) = 6

Multiply

-3x+9 = 6

Rearrange and Add up

-3x = -3

Divide both sides by 3

-x = -1

Multiply both sides by (-1)

x = 1

Which is the solution for the Negative Case

STEP

4

:

Solve the Positive Case

(3x-9) = 6

Rearrange and Add up

3x = 15

Divide both sides by 3

x = 5

Which is the solution for the Positive Case

STEP

5

:

Wrap up the solution

x=1

x=5

I hope this help you

Answer: x= 1, 5

Step-by-step explanation:

First, isolate the absolute value. Subtract two from the equation to get -l3x-9l=-6, and then divide by -1 to get l3x-9l=6.

Since an absolute value measures how far away a value is from zero, it's always positive. For example, -10 and 10 have the same absolute value, 10, because they're both 10 units away from zero.

Because of this, you create two equations; 3x-9=6, and 3x-9=-6.

For the first equation, add 9 to 6 and divide that by 3 to get x=5.

For the second equation, add 9 to -6 and divide that by 5 to get x=1.

2(z - 5) + (z - 8) =

= 2z - 10 + z - 8 =

= 2z + z - 10 - 8 = 3z - 18 ← the end

Answer: 3

Step-by-step explanation:

Answer:

2x^2 + 5x^2 - x - 6

Answer:

-8n - 32

Step-by-step explanation:

Distribute the -4 to the other terms.

-4 · 2n = -8n

-4 · 8 = -32

Answer: -8n-32

Step-by-step explanation:

Expand the equation, multiply all the terms by -4: -4(2n)+(-4)(8)

Evaluate: -8n+(-32)

Simplify the +(-32) into -32: -8n-32

Answer:

3 have only been in ballet

Step-by-step explanation:

If

5 have been in ballet

9 have been in play

2 have been in both ballet and a play

Then

3 have only been in ballet

7 have only been in a play

Answer:

4 students

Step-by-step explanation:

add 2 + 5 = 7

add 9 + 2 = 11

subtract 11 - 7 = 4

there was 2 students added to the 5 students, there was 2 students added to the 9 students/ Sorry if incorrect, i worked it out 4 times.

Step-by-step explanation:

This is the same as

[tex]( \frac{2}{3} ) {}^{5 {}^{0.4} } = \frac{2}{3} {}^{2} = \frac{4}{9} [/tex]4/9 is the answer

Answer:

22054.36

Step-by-step explanation:

Answer:

G.$3.15

Step-by-step explanation:

Step 1-

The estimate for the given situation for the amount is $35, the sales tax of the stuffed elephant is:

=35 x 0.09 -  Multiply by the decimal 9%

=$3.15 - Multiply the values

Result- G.$3.15

Answer:

see explanation

Step-by-step explanation:

Substitute the given values of x into f : x → [tex]\frac{3}{7}[/tex] x + 4

x = - 14 → ([tex]\frac{3}{7}[/tex] × - 14) + 4 = (3 × - 2) + 4 = - 6 + 4 = - 2

x = 28 → ( [tex]\frac{3}{7}[/tex] × 28) + 4 = (3 × 4) + 4 = 12 + 4 = 16

x = [tex]\frac{7}{8}[/tex] → ([tex]\frac{3}{7}[/tex] × [tex]\frac{7}{8}[/tex] ) + 4 = [tex]\frac{3}{8}[/tex] + 4 = [tex]\frac{3}{8}[/tex] + [tex]\frac{32}{8}[/tex] = [tex]\frac{35}{8}[/tex]

x = - [tex]\frac{2}{9}[/tex] → ([tex]\frac{3}{7}[/tex] × - [tex]\frac{2}{9}[/tex] ) + 4 = ([tex]\frac{1}{7}[/tex] × - [tex]\frac{2}{3}[/tex]) + 4 = - [tex]\frac{2}{21}[/tex] + [tex]\frac{84}{21}[/tex] = [tex]\frac{82}{21}[/tex]

Answer:

See below in bold.

Step-by-step explanation:

1. 3/7 * -14 + 4

   = -6 + 4

    = -2.

2. 3/7 * 28 + 4

   = 12 + 4

    = 16.

3 3/7 * 7/8 + 4

   =  3/8 + 4

    =   35/8 or 4 3/8.

4. 3/7 * -2/9 + 4

   = -6/63 + 4

   = -2/21 + 4

    = -82/21 or -3 19/21.

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The value of a polynomial p(x) or f(x) at x = α is obtained by putting x = α in p(x) or f(x) and it is denoted by p(α) ...!

Let f(x) = 4x - 5

⇒f(2) = 4(2) - 5

= 4 × 2 - 5

= 8 - 5

= 3

Hence, If f(x) = 4x-5 then the value of f(2) will be 3 ...!

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Answer:

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

x = 216^(1/3)

x = 6

Answer:

647/ 4.8 ×9.7

Step-by-step explanation:

so what you need to do is 647 round up to 650 because 1-4 you get less but more than 5-9 u get more than that

4.8 becomes 5 and 9.7 becomes 10

650 /5×10

and u ill get 1,300 i hope this hepls u :)

Answer:

a rotation of 180° about the origin

Answer:

[tex]35+0.50t=51[/tex]

Step-by-step explanation:

Since the $35 is a one-time fee, 0.50 is the rate, t is the variable, and 51 is the total bill, we can form the equation:

[tex]35+0.50t=51[/tex]

Answer:

0.50t+35=51

Step-by-step explanation:

0.50 is the amount for each text message so it becomes 0.50t (0.50 × text message). This is added to the monthly cost which is 35 dollars (+35) the question wants an equation as the answer so (=51).

You won't type in the percent sign as that's already taken care of

=============================================================

Explanation:

We have 6 squares shaded out of 100 total. This means we have 6/100 = 0.06 = 6% of the squares shaded. The term "percent" means "per 100" or "for every 100".

Take note that there are 10 rows and 10 columns, meaning there are 10*10 = 100 squares total, either shaded or not shaded.

Answer:

34567 shhzhznznjshshznuzhs

Step-by-step explanation:

the rule 2x×300p

Answer:

7/5

Step-by-step explanation:

Answer:

1[tex]\frac{2}{5}[/tex] of an acre or 1.4 acres.

Step-by-step explanation:

The least common multiple of 10 and 2 is 10.

Convert [tex]\frac{9}{10}[/tex] and [tex]\frac{1}{2}[/tex] to fractions with a denominator of 10.

[tex]\frac{9}{10}[/tex]+[tex]\frac{5}{10}[/tex]

Since these fractions now have the same denominator, add them by adding the numerators.

[tex]\frac{9+5}{10}[/tex]

Add 9 and 5 to get 14.

[tex]\frac{14}{10}[/tex]

Reduce the fraction to the lowest terms by extracting and canceling out 2.

[tex]\frac{7}{5}[/tex]= [tex]1\frac{2}{5}[/tex] =1.4

hope this helps!

Answer:

y= 37.5

Step-by-step explanation:

x = 30°

180-30= 150

4x=150

x = 37.5

Answer:

Y = 40

Step-by-step explanation:

I do not understand that language but if it is asking what Y is equal to when x is equal to 30 degrees and EFG is a straight line.

1. 3Y + 2X = 180 (Straight angle)

2. X = 30 (given)

3. therefore 2X = 2x30

                          = 60

4. Therefore 3Y + 60 = 180

5. 3Y = 180 - 60

6. 3Y = 120

7. Y = 120/3

8. Y = 40

Answer:

x=-5

Step-by-step explanation:

add 3 to -8

1 Regroup terms.

x-3=-8

x−3=−8

2 Add 33 to both sides.

x=-8+3

x=−8+3

3 Simplify  -8+3−8+3  to  -5−5.

x=-5

x=−5

Answer: x=−5

Answer:

Step-by-step explanation:

a) 64 (A=bh)

b) 96 ((16x12)÷2)

Answer:

Step-by-step explanation:

a) base = AB = 16 cm

height = DX = 6cm

Area of  the parallelogram = base * corresponding height to the base

                                            = 16 * 6

                                            = 96 sq. cm

Area of parallelogram =  96 sq .cm

BC * DY = 96

12 * DY = 96

      DY = 96/12

      DY = 8 cm

Answer:

58,967 grams (Use an online measurement converter)

Step-by-step explanation:

Expression = x + 2x + 7 + 3x + 1

Simplication

x + 2x + 7 + 3x + 1

6x + 8

Answer:

GCF is 8

32x - 24 = 8(4x - 3)

Step-by-step explanation:

Answer:

B. –48

Step-by-step explanation:

Answer:y=-48

Step-by-step explanation:

4*(2*-6)=-48

Answer:

The correct answer is y= 1/16

Step-by-step explanation:

2^-6 is 1/64 multiplied by 4 is 1/16

Substitute the value of the variable into the expression and simplify.

( − 6 , − 48 )