2x + 20 = -3x-25
this is due in 20 minutes!

Answer :

[tex]d = \sqrt{26} [/tex]

The value of f(g(x)) is,  [tex]f(g(x))=3x^{2} -24x+50[/tex]

The given function are,

             [tex]f(x)=3x^{2} +6x+5\\\\g(x)=-x+3[/tex]

We have to find [tex]f(g(x))[/tex].

             [tex]f(g(x))=f(-x+3)=3(-x+3)^{2}+6(-x+3)+5\\ \\f(g(x))=3(x^{2} +9-6x)-6x+18+5\\\\f(g(x))=3x^{2} +27-18x-6x+23\\\\f(g(x))=3x^{2} -24x+50[/tex]

Thus, the value of [tex]f(g(x))=3x^{2} -24x+50[/tex]

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Answer:

x = 1

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

−2(2x−4)=4x

(−2)(2x)+(−2)(−4)=4x(Distribute)

−4x+8=4x

Step 2: Subtract 4x from both sides.

−4x+8−4x=4x−4x

−8x+8=0

Step 3: Subtract 8 from both sides.

−8x+8−8=0−8

−8x=−8

Step 4: Divide both sides by -8.

Answer:

if you're trying to make it with one of each kind in each booklet the answer is 24

Answer:

120 seconds/2 minutes

Step-by-step explanation:

divide the distance (270 m) by the rate (2.25 m/s) and you have 270/2.25 = 120 seconds, or 2 minutes.

It will take Ari 120 seconds to jog 270 meters.

To find the time it will take Ari to jog 270 meters at an average rate of 2.25 meters per second, we can use the formula:

Time = Distance / Rate

where:

Distance = 270 meters

Rate = 2.25 meters per second

Time = 270 meters / 2.25 meters per second

Time = 120 seconds

Therefore, it will take Ari 120 seconds to jog 270 meters.

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Answer:

6 cups of flour

Step-by-step explanation:

we know that

the ratio of the recipe=(1 1/2)/(3/4)

1 1/2=1.5 cups of flour

3/4 stick of butter-------> 0.75 stick of butter

by proportion

1.5/0.75=x/3---------> 3*1.5=0.75*x

x=3*1.5/0.75----------> x=6 cups of flour

Answer:

Q4. a) 2000 cm³

b) 0.982 cm³ (3 s.f.)

c) 183 cm³ (3s.f.)

d) 2196 cm³

e) 2380 cm³

Q5. 8376 handles

Step-by-step explanation:

Please see the attached pictures for the full solution.

Answer:

120 ways

Step-by-step explanation:

In the scenario described, there are 120 ways that 5 people can sit around a round table.

Answer:

Step-by-step explanation:

x^2 + 7 = 23

x^2 = 16

√x² = √16

x = 4

Answer:

2.5y, y = -5.2

2.5(-5.2) = -13

2x² + y, x = -2, y = 5

2(-2)² + (5)

2(4) + 5

8 + 5 = 13

a(b), a = 2/3, b = 9/14

(2/3)(9/14)

cross simplify

(1/1)(3/7) = 3/7

Answer:

  x = 7

Step-by-step explanation:

We can't tell the order of angles here, so we'll assume that ...

  m∠TUV = m∠TUW +m∠WUV

  (9x+1) = (7x-9) +(5x-11)

  9x +1 = 12x -20

  21 = 3x

  7 = x

Divide both sides by 9/5

9/5 F = N - 67

Add 67 to both sides

9/5 F + 67 = N

Hope this helped

Answer:

f(x) = x² + 5 / x - 5

There is infinite discontinuity at x = 5. At this value, the graph becomes undefined because the denominator is 0.

Answer:

D = [tex]5\sqrt{5}[/tex]

Step-by-step explanation:

[tex]d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\d= \sqrt{(-7-(-2))^2+(-7-3)^2} \\d= \sqrt{(-5)^2+(-10)^2} \\d= \sqrt{25+100} \\d= \sqrt{125} \\d= 5\sqrt{5}[/tex]

Answer: 3/4

Step-by-step explanation: Doing order of operations we first do 7x1=7, then 7-4=3, then finally do 4x1/4=3/4.

Hope this helps! :)

Answer:

= 6

Step-by-step explanation:

7 x 1 - 4 x 1/4

7 - 4 x 1/4

7 - 1

= 6

hope this helps

Answer:

6x - 7 = 6(x + 4)

Step-by-step explanation:

The value of the number (n) is -7.

Let a number we want to find be n.

Hence, according to the given condition, the equation will be:

⇒ 6n - 7 = -49

⇒ 6n = -42

Dividing both sides by 6, we get:

⇒ n = -7

Therefore, the number that satisfy the algebraic expression is n = -7.

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Step-by-step explanation:

-12 = 5x

5x = -12

x = -12/5

x = -2.4

Answer:8:3

Step-by-step explanation:

there are 5 paper back and 3 hardcover

the first part of the ratio is 8 bc the TOTAL number of books is 8 then the second part (3) is the hardcover books making the ratio 8:3

Answer:

sometime

Step-by-step explanation:

Answer:

2x² +x + 3

Step-by-step explanation:

3x²-2x+4x-x²+3-x

Like terms:

3x² - x² = 2x²

-2x + 4x -x =x

3

2x² + x + 3

Answer:

x = 6

Step-by-step explanation:

Given

- 5.2x + 57.9 = 15.9 + 1.8x ( subtract 1.8x from both sides )

- 7x + 57.9 = 15.9 ( subtract 57.9 from both sides )

- 7x = - 42 ( divide both sides by - 7 )

x = 6

Answer:

33.32 m squared

Step-by-step explanation:

34 divided by 20 equal 1.7

19.6 times 1.7 equal 33.32

hope this helps you;)

pls Mark brainlest :)

Answer:

The correct answer is A. The base of the rectangular prism must be 12 units because the height is 2 units, and 2 multiplied by 12 is 24, which is the total volume of the prism.

Hey there!☺

[tex]Answer:\boxed{3y+2}[/tex]

[tex]Explanation:[/tex]

[tex]3y+2[/tex]

Since there are no like terms and it can't be factored the answer is:

[tex]3y+2[/tex]

Hope this helps!

Answer:

2 miles

Step-by-step explanation:

Add the total distance for biking

4 1/4+5 1/2= 9 3/4

Now add the total distance for running

3 1/2+4 1/4 = 7 3/4

Now subtract

9 3/4 - 7 3/4 = 2

2 miles

Hope this helps!