Given ƒ(x) = 9x + 54, find x when ƒ(x) = 18. A) −6 B) −4 C) 3 D) 8

[tex]answer \\(x - 4)(3x + 2) \\ solution \\ {3x}^{2} - 10x - 8 \\ = {3x}^{2} - (12 - 2)x - 8 \\ = {3x}^{2} - 12x + 2x - 8 \\ = 3x(x - 4) + 2(x - 4) \\ = (x - 4)(3x + 2) \\ hope \: it \: helps[/tex]

Answer:

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

Parallel lines have the same slope

If the green line has a slope of -1, the red line has a slope of -1

Answer:

B

Step-by-step explanation:

3/7 * 1/10 * 21/5

=63/350

=9/50

Answer:

Answer: upstream: 5.2= (x-y) 5

Downstream: 5.2= (x+y) 2.5

Step-by-step explanation:

The equations for upstream and downstream motion for time [t] seconds are -

5.2 = (x - y) t

AND

5.2 = (x - y) t

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.

The equation of a straight line in point slope form can be also written as-

[tex]y-y_{1}=m\left(x-x_{1}\right)[/tex]

We have the following problem -

Let x be the speed of Aro's paddling and let y be the speed of the river. Upstream: 5.2 = ( ) Downstream: 5.2 = ( )

We can write the equations for upstream and downstream motion for time [t] seconds as -

Upstream - (Opposing motion)

5.2 = (x - y) t

Downstream - (Supporting motion)

5.2= (x + y) (t/2)

Therefore, the equations for upstream and downstream motion for time [t] seconds are -

5.2 = (x - y) t

AND

5.2 = (x - y) t

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Answer:

let x be the number of boys

given, the number of girls are 73 more than the number of boys, meaning number of girls is x + 73

also given is that x + x + 73 = 351

2x + 73 = 351

2x = 351 - 73

2x = 278

x= 139

There are 139 boys

There will be 139 + 73 = 212 girls

139 + 212 = 351 which is the total number of students

let x be the number of boys.

Given, that the number of girls is 73 more than the number of boys, meaning the number of girls is x + 73

also given is that

x + x + 73 = 351

2x + 73 = 351

2x = 351 - 73

2x = 278

x= 139

There are 139 boys

There will be 139 + 73 = 212 girls

139 + 212 = 351 which is the total number of students.

To graduate means to successfully complete your schooling, to become "a graduate." When you graduate from high school, you become a high school graduate and congratulations are in order. A graduate is someone who has received a degree from a school.

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Answer: B. 2∛3

Step-by-step explanation:

[tex]24^\frac{1}{3}[/tex] is equivalent to ∛24. This can actually be simplified. We can use prime factorization to simplify the cubed root.

                                                               24

                                                               /  \

                                                              2  12

                                                                  /  \

                                                                2    6

                                                                      /  \

                                                                    2    3  

From this prime factorization tree, we want to find a group of 3. The same number that appears 3 times.

We see that there are 3 2's. They are bolded above. Since there is a group of 3, we can pull the 2 out of the cubed root, as we are left with a 3 inside (underlined above).

Our final answer is 2∛3.

Answer:

each piece will be half a metre long

Step-by-step explanation:

4m into cm is 400cm

400 divided by 8 is 50cm

in metres this would be 0.5m a.k.a half a metre

Answer:

5

Step-by-step explanation:

the measure DF is 7

DE = 2

to get EF, you have to subtract 2 from 7

7 - 2 = 5

Answer:

(x, y) → (x + 8, y + 4)

Step-by-step explanation:

Answer: C

Step-by-step explanation

Just took the test

Answer:

[tex](4x + 4)(x + 6) \\ [/tex]

Step-by-step explanation:

[tex]4 {x}^{2} + 28x + 24 \\ 4 {x}^{2} + 24x + 4x + 24 \\ 4x(x + 6) + 4(x + 6) \\ (4x + 4)(x + 6)[/tex]

hope this helps you.

brainliest appreciated

good luck!

have a nice day!

Answer:

x- 3y - 7=0

Step-by-step explanation:

the line in the slope-intercept form:

m= 1/3 and point given (1, -2) by using which we find y-intercept:

General form of a line is: ax+by+c= 0

converting:

Answer:

x- 3y - 7=0

Step-by-step explanation:

Mark me BRAINLIEST please

Answer:

60

Step-by-step explanation:

360-95-120-85=60

Answer:

Base is 5/6

Step-by-step explanation:

We calculate the area of a triangle by multiplying height to the base and that divided by two

Let's call the base X

5/36 cm^2 = 1/3 × X ÷ 2 multiply both sides of the equation by 2

2 × 5/36 = 1/3 × X ÷ 2 × 2

5/18 = X/3 now divide both sides by 3

5/18 ÷ 3 = X/3 ÷ 3

X = 5/6

The equaitons are y = 25m + 33950 and y = 150m + 35700. Then the number of months will be 10 months. Then the correct option is B.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

Let 'm' be the number of months and 'y' be the population. Then the equations are given as,

y = (125 - 100) m + 33,950

y = 25m + 33950          ...1

y = 150m + 35700          ...2

From equations 1 and 2, then we have

150m + 35700 = (125 - 100) m + 33950

125m - 100m + 33950 - 35700 - 150m = 0

175m = 1750

m = 10 months

The equaitons are y = 25m + 33950 and y = 150m + 35700. Then the number of months will be 10 months. Then the correct option is B.

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Answer:

B)

D)

Step-by-step explanation:

B) 1 and 13 are x intercepts so true

D) greatest profit is when price is 7; after that profit is getting smaller because function is decreasing

Answer:

So since you have the ratio of 1 : 4

we need to find 3 : x

since 1*3 = 3. We multiply all by 3

4*3 =12.

Answer is 12

Answer:

Independent: Amount of hours she works

Dependent: Amount of money she makes

Step-by-step explanation:

The independent variable is the part of the equation that changes. In this case the only thing that changes is how long she works, the amount of money she charges and what she is doing does not change.

The dependent variable is what you measure in the equation. In this case, the amount of money she makes depends on the amount of time she works.

Answer:

1960

Step-by-step explanation:

8 out of 10 is 80% or 0.8. 0.8 * 2540 = 1960 students.

Answer:2032

Step-by-step explanation:

8 out of 10 is 80% or 0.8 then 2540 times 0.8=2023

Answer:j=39/28 or 1.392857 or 1 11/28

Step-by-step explanation:

I assume that you are looking for j

1⁄7 + 1⁄2 + 3⁄4=j

9/14+3/4

39/28

The correct answer is Pentagon 2 or B

Explanation:

In mathematics and related disciplines, a line of symmetry is a line that divides a figure, for example, a triangle, circle, or pentagon into two symmetrical or equal sides. This means you can fold the image following the line and both sides will be identical. This occurs in the second pentagon because the line that begins in the top of the figure divides it into two equal sides. Indeed each of the sides includes half of the base and two angles that coincide if you fold the figure following line.

Answer:

its b

Step-by-step explanation:

literally the only one you can fold in half

Answer:

V = 80√3 cm³

Step-by-step explanation:

V = Ab×h/3

Ab = l²√3/4 = 64√3/4 = 16√3 cm²

V = 16√3cm²×15cm/3

= 16√3cm²×5cm

= 80√3 cm³

Answer:

138.56cm2

Step-by-step explanation:

B.a×hx1/3

B.a=1/2×8×8sin60=27.71cm2

1/3×27.71×15=138.56cm2

Answer:

a is 1

Step-by-step explanation:

[tex]a+\dfrac{1}{a}=2[/tex]

Multiply both sides by a:

[tex]a^2+1=2a[/tex]

Move everything to one side:

[tex]a^2-2a+1=0[/tex]

Factor:

[tex](a-1)^2=0[/tex]

By the zero product rule, a is 1.

Therefore, the expression is true, because:

[tex](1)^2+\dfrac{1}{a^2}=a^4+\dfrac{1}{a^4}=1+1=2[/tex]

Hope this helps!

Answer:

A and B both have an input that has multiple outputs so the answer is C and D.

Answer:

WERE THE GRAPH

Step-by-step explanation:

Answer:

the answer is 175

Step-by-step explanation:

you will do 2500*7/100

Answer:

8 = 4x OR 0 = 4x

Step-by-step explanation:

I not %100 sure or it could be 0 = 4x

EITHERONE

Answer:

[tex]\sqrt{11i}[/tex]

Step-by-step explanation:

x^2-9+20 = 0

x^2+11 = 0

x^2 = -11

x = [tex]\sqrt{-11} \\\sqrt{11i} \\[/tex]

Answer:

A.

Step-by-step explanation: