Given f(x) = 4x + 1 and g(x) = x2 − 2, which of the following is an expression for f(g(x))?

Answer: Translate GHJ by the directed line segment GS. Rotate G'H'J' using T as the center by angle H'TS. Reflect G"H"J" over ST

Step-by-step explanation:

Answer:

(p - 5)(p - 6)

Step-by-step explanation:

p^2 - 11p + 30

find what two numbers added together is -11 but multiplies together is 30, its' -5 and -6 so:

(p - 5)(p - 6)

Answer:

(p - 5)(p - 6)

Step-by-step explanation:

Given

p² - 11p + 30

Consider the factors of the constant term (+ 30) which sum to give the coefficient of the x- term (- 11)

The factors are - 5 and - 6, since

- 5 × - 6 = + 30 and - 5 - 6 = - 11 , thus

p² - 11p + 30 = (p - 5)(p - 6) ← in factored form

Answer:

I believe the answer is the 3rd choice witch would be c

Answer:

y = x + 1

Step-by-step explanation:

x - y = 1

-y = 1 - x

(-1) -y = -1 (1 - x)

y = x + 1

Answer:

Step-by-step explanation:

Janet can make:

4/5 of a necklace in      20min

2(4/5)=8/5 ............in       40 min

3(4/5)=12/5 ............in    60 min( one hour)

12/5=2 2/5 necklaces in one hour

or 2.4n in one hour

Answer:

3

Step-by-step explanation:

Answer:

B. Negative

Step-by-step explanation:

The slope is negative because of the fact that it is slanted going downwards if it was slanted going upwards it would be positive.

Answer:

5) x

6) -7

7) 3

Step-by-step explanation:

if you fill in those numbers and solve, x times x = [tex]x^{2}[/tex], x times -7 = -7x, 3 times x = 3x, and -7 times 3 = -21.

Considering the definition of an inequality, you get:

a. the numbers of glass bottles your class needs to collect if no plastic bottles are collected is 2000.

b. the numbers of plastic bottles your class needs to collect if no glass bottles are collected is 1000.

c. the inequality that represents how many of each type of bottle your class can collect to reach the goal is 0.05×g + 0.10s≥100.

An inequality is the existing inequality between two algebraic expressions, connected through the signs:

An inequality contains one or more unknown values ​​called unknowns, in addition to certain known data.

Solving an inequality consists of finding all the values ​​of the unknown for which the inequality relation holds.

In this case, you know that:

Being:

a. the numbers of glass bottles your class needs to collect if no plastic bottles are collected is calculated as:

0.05×g≥100

Solving:

g≥100÷ 0.05

g≥2000

b. the numbers of plastic bottles your class needs to collect if no glass bottles are collected is calculated as:

0.10×s≥100

Solving:

s≥100÷ 0.10

s≥1000

c. the inequality that represents how many of each type of bottle your class can collect to reach the goal is:

0.05×g + 0.10s≥100

In summary, you get:

a. the numbers of glass bottles your class needs to collect if no plastic bottles are collected is 2000.

b. the numbers of plastic bottles your class needs to collect if no glass bottles are collected is 1000.

c. the inequality that represents how many of each type of bottle your class can collect to reach the goal is 0.05×g + 0.10s≥100.

Learn more about inequality:

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Answer:

-8x+12

Step-by-step explanation:

1. You need to distribute the (-1) from outside the bracket onto all the terms in the bracket, which includes (8x) and (-12). If there is a minus outside the bracket and one minus in the bracket, the operation would be a plus and vice versa. If there is a minus outside the bracket and one plus in the bracket, the operation would be a minus and vice versa.

- (8x - 12) = (-1) × (8x) + (-1) × (-12)

               = -8x + (+12)

               = -8x + 12

y  =  − 1 /8x - 19/4

i think

Answer:

hi thanks for the points

The number of integers that satisfies the inequalities, -5 ≥ -7•x and -15 ≥ 5•x is zero or non

The given inequalities are;

-5 ≥ -7•x and -15 ≥ 5•x

Simplifying the inequalities gives;

-5 ≥ -7•x

Dividing both sides by -7 gives;

-5/-7 ≤ -7•x/-7 = x

Therefore;

5/7 ≤ x

Which gives;

The second inequality is simplified as follows;

-15 ≥ 5•x

-15/5 ≥ 5•x/5

-3 ≥ x

Which gives;

x ≤ -3

Therefore;

-3 ≥ x and x ≥ 5/7

5/7 ≤ x ≤ -3

However, 5/7 > -3

The number of integers that satisfies the inequality, 5/7 ≤ x ≤ -3, is zero (no integer satisfies the inequality).

Therefore;

Non of the integers satisfies both -5 ≥ -7•x and -15 ≥ 5•x

Learn more about inequalities here:

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Answer:

He bought 5 bags of chips

Step-by-step explanation:

Here, we want to calculate the number of bags of chips bought

The amount used on the balance is;

45-32.5 = 12.5

Let the number of chips bought be n

Since each chip cost 2.5 each;

The amount of chips bought will be 2.5 * n = 2.5n

This is same as 12.5

Thus;

2.5n = 12.5

n = 12.5/2.5

n = 5

Answer:

1/6 is the slope since you have to flip it

Step-by-step explanation:

Answer:

This is perpendicular because it is the reciprical of the other equation

Step-by-step explanation:

y=-6x+4.

the slope intercept form is y=mx+b

m is the slope

m=-6

for the equation to be perpendicular then the slope is the reciprical

Knowing this lets find a line perpendicular to this equation

Equation:

y=1/6x+2/3

or

y=x/6+2/3

Answer: 1

Step-by-step explanation:

Given the expression :

Evaluate : 2× √49/14

2 * (√49) / 14

√49 = 7

2 * (7 / 14)

2 * (1 / 2)

2 /2

= 1

9514 1404 393

Answer:

  y = 150x

Step-by-step explanation:

If the relationship is proportional, there is no added constant. The relation that is proportional is ...

  y = 150x

Answer:

5 and 4

Step-by-step explanation:

4 + 5 = 9

25 - 16 = 9

Answer:

4 & 5 i think

Step-by-step explanation:

1+8=9

2+7=9

3+6=9

4+5=9

Answer:

i love pidddd

Step-by-step explanation:

Answer:

I think it may be y=2X+1 hope it's right

Answer:

D

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 1, 1) and (x₂, y₂ ) = (0, - 1) ← 2 points on the line

m = [tex]\frac{-1-1}{0+1}[/tex] = - 2

The line crosses the y- axis at (0, - 1) ⇒ c = - 1

y = - 2x - 1 ← equation of line

Answer:

since it bisects angles 1 and 2 this makes them equivalent to each other

angle 1 = angle 2

and if angle 1 is equal to angle 3 than angle 2 must also be equal to angle 3

9514 1404 393

Answer:

Step-by-step explanation:

The first two problems can be solved in your head by working backward from the end result.

__

1. After 3/2 is added, the result is 4. Then we must be adding 3/2 to 4 -3/2 = 5/2. We notice that 5/2 already has the numerator 3 more than the denominator, so the fraction of interest is 5/2.

__

2. If 3/8 is added to a number giving a result of 1, the number must be 1 -3/8 = 5/8. That is 5 times 1/8. The number of interest is the reciprocal of 1/8, so is 8.

__

3. Let x represent the speed of the faster car. Then x-3 is the speed of the slower car, and the two times are ...

  time = distance/speed

  390/x = 372/(x-3)

  390(x -3) = 372x . . . cross multiply

  18x = 1170 . . . . . . . add 1170-372x

  x =  65 . . . . . . . . . . divide by 18

The speeds of the cars are 65 mph and 62 mph.

Answer:

there is nothing tho for people to answer

Answer:

I have no idea what to answer.

Step-by-step explanation:

I suggest taking a photo of what u want us to answer and save it to a pdf then click on the paperclip at the bottom. :)

Sorry for the inconvenience

Answer:

60 baseball and 20 football

Step-by-step explanation:

Answer:

6,012,006

Step-by-step explanation:

:0

Answer:

A. How to determine the constant

  Let the total cost be C

   Let the number of acres be A

From the question given above,

C ∝ A

C = KA

K = C / A

   Total cost (C) = $ 551520

   Number of acres (A) = 20 acres

   Conctant (K) =?

K = C / A

K = 551520 / 20

K =  27576 dollar/acre

B. How to determine the number of acres

   Total cost (C) = $ 441216

   Constant (K) =  27576 dollar/acre

   Number of acres (A) =?

C = KA

Divide both side by K

A = C / K

A = 441216 / 27576

A = 16 acres

Answer:

27,576 and 16

Step-by-step explanation:

edge

Answer:

59049

Step-by-step explanation:

The pattern is that it multiplies by 3 every time.

9*3=27, and 27*3=81.

81*3 = 243

243*3 = 729

729*3=2187

2187*3=6561

6561*3=19683

19683*3 = 59049

Answer:

Let's create this right triangle.  We will call it triangle ABC with angle B as the right angle, angle A being the larger of the angles A and C.  If the ratio is 5:4, then it is A:C.  5+4 = 9.  The measure of the right angle, angle ABC = 90, and 90 divided by 9 is 10.  So angle A is 5 * 10 which is 50 degrees, and angle C is 4 * 10 which is 40 degrees.  The smallest angle, angle C, is 40 degrees.

Step-by-step explanation: