Use the following functions to simplify the expressions. f(x)=3x−1 and g(x)=5−x f(−4)= For what value of x does g(x)=−4?

Answer:

[tex] 3x + 12 = 20 [/tex]

[tex] x = 2\frac{2}{3} [/tex]

Step-by-step explanation:

Let x represent the unknown number.

3 times the unknown number is 3*x. = 3x

The sum of 3x and 12 is said to be 20.

This can be represented by the following equation:

[tex] 3x + 12 = 20 [/tex] (sum means addition)

The equation of the statement given in the equation can be expressed as [tex] 3x + 12 = 20 [/tex].

We can equally find the value of the unknown number using the equation, thus:

[tex] 3x + 12 = 20 [/tex]

Subtract 12 from each side of the equation

[tex] 3x + 12 - 12 = 20 - 12 [/tex]

[tex] 3x = 8 [/tex]

Divide both sides by 3

[tex] \frac{3x}{3} = \frac{8}{3} [/tex]

[tex] x = 2\frac{2}{3} [/tex]

Answer:

45°

Step-by-step explanation:

If the lines are parallel then you know that the straight line has a total degree of 180. you know that part of the line is 135 degrees so 180-135=45

Answer:

An infinite number of solutions.

Step-by-step explanation:

9x - 17 = -17 + 9x

0 = 0

Since the output is 0 = 0, there is an infinite number of solutions.

Answer:

All real numbers are solutions

Step-by-step explanation:

the answer is (x, y) --->(x-8, y-1)

Answer:

-Martha would add $0.36 each day.

-Martha would have $7 in her coin bank after 6 days.

Step-by-step explanation:

1 quarter= $0.25

1 nickel= $0.05

1 penny= $0.01

To find the amount she adds each day, you have to add the results of multiplying each coin added on a day for its value:

1*0.25+1*0.05+6*0.01=0.25+0.05+0.06=0.36

This means that Martha would add $0.36 each day.

Then, to find the amount of money that was in her coin bank after 6 days, you have to add the amount she put on the coin bank plus the amount she added each day for the number of days:

$4.84+($0.36*6)=$4.84+$2.16=$7

According to this, Martha would have $7 in her coin bank after 6 days.

Answer:

answer is a

Step-by-step explanation:

the golden ratio is 1.618

5.48 ~ 1.618 = 8.737

Answer:

12 dollars per ticket

Step-by-step explanation:

Answer:

[tex]1 \frac{4}{5} \times 3 \frac{2}{3} \\ = \frac{9}{5} \times \frac{11}{3} \\ = \frac{99}{15} \\ 6 \times \frac{9}{15} [/tex]

Complete question:

Russell has a collection of 1,200 pennies. Of these pennies, 25% are dated before 1980, 35% are dated from 1980 to 2000, and the rest are dated after 2000. How many pennies in Russell’s collection are dated after 2000?

Answer:

480 pennies

Step-by-step explanation:

Total pennies = 1200

Datwd before 1980 = 25%

Dated 1980 - 2000 = 35%

The rest are Dated after 2000 ;

How many are dated after 2000

Dated before 1980 = 25% ;

25% of 1200

0.25 * 1200 = 300

Dated 1980 - 2000 = 35% ;

0.35 * 1200 = 420

Dated after 2000 ;

1200 - (300 + 420)

1200 - 720

= 480 pennies

Answer:

D. The product of one and any other real number is the number itself.

Step-by-step explanation:

Multiplicative Identity Property can also be referred to as the identity property.

It states that when a number , a real number is multiplied by 1, the result is that same real number itself.

For example:

2 × 1 = 2

-5 × 1 = -5

Therefore, option D. The product of one and any other real number is the number itself. Is the correct option.

Answer:

B. Store A at 426

Step-by-step explanation:

If you want step by step just comment

Answer:

435

Step-by-step explanation:

Cost of sofa =$500

For store A

Discount =20% off

The amount of the discount is

=20/100*500

=0.2*500

=$100

6.5% sales tax

The amount of tax is

=6.5/100*500

=0.065*500

=$32.5

Total cost of the sofa

=500-100+32.5

=400+32.5

=$432.5

For store B

Discount =30% off

The amount of the discount is

=30/100*500

=0.3*500

=$150

Shipping fee $85

Total cost of sofa

=500-150+85

=350+85

=$435

Answer: C and C

Step-by-step explanation:

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

Explanation:

If the diagonals were congruent, then you can use the SSS property to prove a pair of right triangles are congruent. This leads to showing that we have adjacent congruent corresponding angles. Let's call those angles x and y.

Since they are congruent, we know that y = x. Adjacent angles of any parallelogram add to 180, so x+y = 180

By substitution we can solve for x

x+y = 180

x+x = 180

2x = 180

x = 180/2

x = 90

So y = 90 as well.

This line of thinking is used to show that all four angles of this parallelogram are 90 degrees. A rectangle is any quadrilateral in which all four angles are 90 degrees, so that's why this parallelogram is a rectangle.

Answer:

Step-by-step explanation:

5000 to the power of 4

is too much for the calculator

and it will do this in return for asking this.

6.25e+14

Hope this helps! <3

Answer:

6.25^14

Step-by-step explanation:

Answer:

[tex]\boxed{m} = - \frac{2}{3} [/tex]

Step-by-step explanation:

[tex]in \: other \: to \: get \: the \: slope \: of : \\ 2x+3y= –12 \\ the \: equation \: needs \: to \: be \: in \: the \: form : \\ y = mx + c \\ \\ where \: m \: is \: the \: slope \\ hence : \\ 2x + 3y = - 12 \\ 3y = - 2x - 12 \\ y = - \frac{ 2}{3} x - 4 \\ therefore \: the \: slope \: \boxed{m} = - \frac{2}{3} [/tex]

♨Rage♨

Answer: 1,4 2,1 5,1 4,4  

Step-by-step explanation:

hope it helps

Answer:

D

Step-by-step explanation:

Answer:

n = 28

Step-by-step explanation:

Given

[tex]\frac{3}{4}[/tex] n - 18 = [tex]\frac{1}{4}[/tex] n - 4 ( multiply through by 4 to clear the fractions )

3n - 72 = n - 16 ( subtract n from both sides )

2n - 72 = - 16 ( add 72 to both sides )

2n = 56 ( divide both sides by 2 )

n = 28

Answer:

8.2 units

Step-by-step explanation:

The formula for this type of problem is [ d = √(x2-x1)²+(y2-y1)² ]

d = √(-1-(-9))²+(0-)-2))²

d = √8²+2²

d = √64+4

d = √68

d ≈ 8.2

Best of Luck!

Answer:

2.4 gallons every minute

Step-by-step explanation:

Since we are given three values and one variable that needs to be solved in a ratio problem we can use the Rule of Three to solve for the flow rate of the water with this being represented as x.

4 [tex]\frac{1}{2}[/tex] or 4.5 gallons  <============>  1 [tex]\frac{7}{8}[/tex] or 1.875 minute

     x   gallons   <==============> 1 minute

(1 * 4.5) / 1.875 = x

2.4 gallons = x

Therefore, we can see that the flow rate is 2.4 gallons every minute, meaning that every single minute that the hose is on, it will deposit 2.4 gallons of water into the fish tank.

Answer:

(6, -9)

Step-by-step explanation:

Eliminate y (you can do x too, but y is easier for this problem)

To eliminate y we must get 0y

If one is 2y, the other must be -2y to get to 0

Keep the first equation the same

7x + 2y = 24

Multiply all numbers in the second equation by -2 (so y can be -2y)

-8x + -2y = -30

Positive + Negative = Negative

-8x - 2y = -30

Now add/subtract the two equations from each other

7x + 2y = 24

-8x - 2y = -30

-1x + 0y = -6

-1x = -6

Divide both sides by -1 to isolate variable

-1x ÷ -1 = -6 ÷ -1

x = 6

We could simply plug in the x value into one of the equations, but that's substitution - not elimination. Repeat the same steps for x

I will multiply the first equation by 4 to get 28x and the second equation by -7 to get -28x for an answer of 0x

28x + 8y = 96

-28x - 7y = -105

0x + 1y = -9

1y = -9

Divide both sides by 1 to isolate the variable

1y ÷ 1 = -9 ÷ 1

y = -9

Step-by-step explanation:

B.n(A)=7.

good luck to you

Answer:

with the rule of bodmas

B. bracket

O. of

D. division

M. multiplication

A. addition

S. subtraction

Step-by-step explanation:

so u solve the bracket

then u multiply it by the 2 on the LHS

then subtract ur RHS then multiply ur answer

Answer:

divide 12 by 2

Step-by-step explanation:

According to the order of operations (PEMDAS), you must first solve inside the parenthesis. This means you must now decide whether to solve 12 /2 first or 2 * 6. Because these are division and multiplication, which are equal, you just solve whichever one comes first, or is on the left. That would by 12/2.

Answer:

4,000

Step-by-step explanation:

The area of corral build for a horse is equal to 4000 feet².

What is the area of a rectangle ?

Area of rectangle is the region occupied by a rectangle within its four sides or boundaries.

It is given that a rancher uses 280 feet of fencing to build a rectangular corral for a horse. This meant the perimeter of corral is equal to 280 feet.

Let's assume that the width of corral is of x feet.

Length of corral = 2.5x

We know that the perimeter of a rectangle is given by :

P = 2 ( L + B )

or

280 = 2 ( 2.5x + x)

Solving for the value of x i.e., width of corral will be :

3.5x = 140

x = width = 40 feet

and

Length = 100 feet

So , the area of corral will be :

A = L × B

or

A = 40 × 100

A = 4000 feet²

Therefore , the area of corral build for a horse is equal to 4000 feet².

Learn more about area of rectangle here :

brainly.com/question/25292087

#SPJ2

Step-by-step explanation:

ive attached a picture to this answer

Answer:

/

Step-by-step explanation:

Answer:

-2/3

Step-by-step explanation:

Answer:

kid are u joking

Step-by-step explanation:

Answer:

vtvStep-by-step explanabgvtttion:

Antwoord:

r = 0,288m

Stapsgewijze uitleg:

Volume van de strandballen V = 4 / 3πr³

1 liter = 0,001 cm³

100l = x

x = 100 * 0,001

x = 0,1 m³

Vervangen in de formule en verkrijg de straal

0,1 = 4 / 3πr³

0,3 = 4πr³

r³ = 0,3 / 4 (3,14)

r³ = 0,3 / 12,56

r³ = 0,02388

r = ∛0,02388

r = 0,288m

Vandaar dat de straal van de strandballen 0.288m is