Question 3 of 10
If f (x)= 2(x)2 +5(x+2), complete the following statement:
f(2)=
Answer here

Steps Using Factoring By Grouping

[tex]4 {s}^{2} - 12s = - 9[/tex]

[tex]4 {s}^{2} - 12s + 9 = 0[/tex]

[tex](4 {s}^{2} - 6s) + ( - 6s + 9) = 0[/tex]

[tex]2s(2s - 3) - 3(2s - 3) = 0[/tex]

[tex](2s - 3)(2s - 3) = 0[/tex]

[tex](2s - 3) {}^{2} = 0[/tex]

 ‍ 

[tex]2 s - 3 = 0[/tex]

[tex] \: \: \: \: \: \: \: 2s = 0 + 3[/tex]

[tex] \: \: \: \: \: \: \: 2s = 3[/tex]

[tex] \: \: \: \: \: \: \: \: \: s = \frac{3}{2} [/tex]

[tex] \: \: \: \: \: \: \: \: \: s = 1 \frac{1}{2} [/tex]

[tex] \: \: \: \: \: \: \: \: \: s = 1,5[/tex]

[tex] \green {\boxed{s = \frac{3}{2} = 1 \frac{1}{2} =1,5}}[/tex]

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Answer:

6684

Step-by-step explanation:

Answer:

6684

Step-by-step explanation:

(98)(68)-67+87

PEMDAS

Answer:

Second from top

  f(x) = 25(5)ˣ

Step-by-step explanation:

Spot check:

x = 2, f(x) = 625

 f(x) = 25(5)ˣ

 f(x) = 25(5)² = 25(25) = 625

x = -1, f(x) = 5

 f(x) = 25(5)ˣ

 f(x) = 25(5)⁻¹ = 25(0.2) = 5

Answer:

8.21 months.

Step-by-step explanation:

The growth rate of hair, R = 15 cm/year

As 1 year = 12 months,

[tex]\Rightarrow R=\frac{15}{12}[/tex] cm/month

As 1 cm ≈ 0.39 in.,

[tex]\Rightarrow R= \frac{15}{12}\times 0.39=0.4875[/tex] inch/month.

As she wants to grow it 4 inches longer than it now, So, the time required for 4 inches growth = 4/0.4875=8.21 months.

Hence, she needs to wait for 8.21 months.

Answer:

53

Step-by-step explanation:

so first of all we would have to plug in what were given and simplify:

[tex]8 - \frac{8}{2} + {7}^{2} \\ 8 - 4 + 49 = 4 + 4 9= 53[/tex]

This is how it is solved :

13(y+3)=13y+39

Step 1: Simplify both sides of the equation.

13(y+3)=13y+39

(13)(y)+(13)(3)=13y+39(Distribute)

13y+39=13y+39

Step 2: Subtract 13y from both sides.

13y+39−13y=13y+39−13y

39=39

Step 3: Subtract 39 from both sides.

39−39=39−39

0 = 0

Hence we say that 13(y+3)=13y+39 will have infinitely many solutions .

Answer:

Answer is 6..is correct

Given:

Jack's plan charges a fee of $24 plus $0.08 per minute he talks.

Jill's plan charges a fee of $10 plus $0.15 per minute she talks.

To find:

The equation which is used to determine when Jack and Jill's plans will be the same.

Solution:

Let t be time in minutes.

Jack's plan charges a fee of $24 plus $0.08 per minute he talks. So, function for Jack's plan is

[tex]f(t)=24+0.08t[/tex]

Jill's plan charges a fee of $10 plus $0.15 per minute she talks. So, function for Jill's plan is

[tex]g(t)=10+0.15t[/tex]

Jack and Jill's plans will be the same, if [tex]f(t)=g(t)[/tex].

[tex]24+0.08t=10+0.15t[/tex]

Therefore, the required equation is [tex]24+0.08t=10+0.15t[/tex].

Answer:

Step-by-step explanation:

-7

Answer:

the story of my life

Step-by-step explanation:

good luck <3

Answer:

The slope is 1/3

Step-by-step explanation:

2-8/4-22

-6/-18

1/3

Answer:

The slope of the graph is 5 / 2

To determine the slope of the graph of [tex]5x-2y=20[/tex] is equal to: C. [tex]\frac{5}{2}[/tex]

Given the following equation:

To determine the slope of the graph:

The standard form of an equation of line is given by the formula;

[tex]y=mx+b[/tex]    ....equation 1.

Where:

[tex]5x-2y=20\\\\2y = 5x-20\\\\y = \frac{5}{2} x -10[/tex]   ....equation 2

Comparing eqn. 1 and eqn. 2, w have:

Slope, m = [tex]\frac{5}{2}[/tex]

Read more: https://brainly.com/question/18123312

Answer:

Kindly check explanation

Step-by-step explanation:

Given that:

Distribution = Normal

Mean(m) = 66

Standard deviation (σ) = 3 inches

A.) If horse is randomly selected from the race, Expected height = mean of the distribution = 66

B.) % horses with height between 60 and 72

Using the relation :

X = 60 ; 72

Z = (x - mean) σ

Z = (60 - 66) / 3

Z = - 6/3

Z = - 2

P(Z < - 2) = 0.0228 (using table)

Z = (72 - 66) / 3

Z = 6/3

Z = 2

P(Z < 2) = 0.9772 (using table)

P(score being between 60 and 72):

0.9772 - 0.0228= 0.9544

C) number of samples = 25

Height less than 63 inches :

Answer: 4x-6=-46

4x-6=-46

Answer:

this isn't a social studies stream

ask the question again but in a social studies thingy

Answer:

6

Step-by-step explanation:

They are asking you to plug in 2 for the g(x) equation

5(2)-4=6

Answer:

A 1 with a hundred 0's following it

Step-by-step explanation:

Answer:

(0,2)

Step-by-step explanation:

To know get the answer, you would start at the orgin of the paper (0) and up two. Therefore your answer is (0,2).

Answer: (0,-2)

Step-by-step explanation: Wouldnt it be that since its on the negaive side

The answer is definatly NOT D. I think that the answer is A.

The design that should  give Shanika what she wants is the radius of 90 cm.

Since The table has a radius of 40 centimeters and height of 60 centimeters. She wants the tablecloth to hang an even 10 centimeters above ground.

So, the radius is

= 40 + 60 - 10

= 90 cm

Learn more about radius here: https://brainly.com/question/3708862

Answer:

$672

Step-by-step explanation:

Answer: 42

Step-by-step explanation:

I think hope this helps

Answer:

1,2,3 are Natural Numbers

Step-by-step explanation:

May i please get brainiest.

The answer:

Natural Numbers

Answer:

0 or No solutions

Step-by-step explanation:

hope this helps!

Answer:

-6

Step-by-step explanation:

We can use the slope formula

m = ( y2-y1)/(x2-x1)

   = ( -8- -14)/( 8 -9)

  = ( -8+14)/( 8 -9)

  6/-1

  -6

Answer:

[tex]\boxed {\tt m= -6}[/tex]

Step-by-step explanation:

The slope formula is:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

where (x₁, y₁) and (x₂, y₂) are the points given.

The points are (9, -14) and (8,-8). Therefore,

x₁=9

y₁= -14

x₂= 8

y₂= -8

Substitute the values into the formula.

[tex]m=\frac{-8 - -14}{8-9}[/tex]

[tex]m=\frac{-8 +14}{8-9}[/tex]

Solve the numerator.

[tex]m=\frac{6}{8-9}[/tex]

Solve the denominator.

[tex]m=\frac{6}{-1}[/tex]

Divide 6 by -1.

[tex]m= -6[/tex]

The slope is equal to -6

Answer:

Each girl scored 9 points

Each boy scored 7 points

Step-by-step explanation:

Let the number of points each girl scored = a

Let the number of points each boy scored = b

7 girls and 6 boys scored a total of 105 points.

7a + 6b = 105......... Equation 1

The difference between the number of points scored by the 7 girls and the number of points scored by the 6 boys is 21

7a - 6b = 21........... Equation 2

7a + 6b = 105......... Equation 1

7a - 6b = 21........... Equation 2

Subtract Equation 2 from Equation 1

12b = 84

b = 84/12

b = 7

Therefore, each boy scored 7 points

7a + 6b = 105......... Equation 1

b = 7

7a+ 6b = 105

7a + 6(7) = 105

7a + 42 = 105

7a = 105 - 42

7a = 63

a = 63/7

a = 9

Therefore, each girl scored 9 points.

Answer:

It's saitama, I love one punch man so much lol

radius = 12.5/2 = 6.25 feet

area = [tex]\frac{1}{2} \pi r^{2} = \frac{1}{2}\pi (39.0625) = 19.5312\pi[/tex] square feet

Answer:

x=6

Step-by-step explanation:

subtract 10 on both sides you will get -x<-6 divide both sides by a negative 1 that is how you get 6