Consider the function f(x) = 3x - 2 and the function g(x), which is represented by the table below. Which of the following statements about f(x) and g(x) is true? Select all that apply.

1. The slope of f(x) is smaller than the slope of g(x)

2. The lines represented by f(x) and g(x) are parallel.

3. The line represented by f(x) crosses the x-axis to the right of the line represented by g(x).

4. The y-intercept of f(x) is smaller than the y-intercept of g(x).

5. The values of f(x) and g(x) are the same at x = 3

Answer:

15. (8x^3 + 27)(x + 1)

17. (x^2 + 3)(x + 2)

Step-by-step explanation:

8x^3(x + 1) + 27(x + 1)

x^2(x + 2) + 3(x + 2)

Answer: 4/5

Step-by-step explanation: 1/5 times 5/1=4/5

Understanding:

First, let's try simplifying the first equation as much as we can. As you know, you can add, subtract, multiply, divide, etc on both sides of the equation and it will remain the same value. To simplify [tex]3x-5=16[/tex] we can simply add 5 to both sides to cancel the -5 on the left-hand side. That will give us [tex]3x-5 +5=16+5[/tex], notice we added the 5 to both sides. The +5 cancels -5 and 16+5 is 21, which evaluates to [tex]3x=21[/tex]. And this equation looks familiar, it's our second equation actually. That's why both equations are the same, and in that x value that makes the first equation true, it will also do the same for the second equation. If you want to actually find the value of x which makes the equation true, you can simply divide the 21 on the right-side by 3 to make x coefficient equal to 1, [tex]\frac{3x}{3} =\frac{21}{3}[/tex], and that gives us,  [tex]x=7[/tex]. When x is 7 both equations are true.

Answer:

We conclude that the second equation must also be true for the same value of x because the value x = 7 satisfies the 2nd equation too.

Step-by-step explanation:

Given the first equation

[tex]3x-5=16[/tex]

Add 5 to both sides

[tex]3x-5+5=16+5[/tex]

simplify

[tex]3x=21[/tex]

Divide both sides by 3

[tex]\frac{3x}{3}=\frac{21}{3}[/tex]

simplify

[tex]x=7[/tex]

Thus, x = 7 is a value that satisfies the first equation.

Now, put x = 7 in the 2nd question to check whether x = 7 satisfies the equation or not.

3x = 21

3(7) = 21         ∵ x = 7

21 = 21

Thus, x = 7 also satisfies the 2nd equation.

Therefore, we conclude that the second equation must also be true for the same value of x because the value x = 7 satisfies the 2nd equation too.

The values of x = 5 and pq = 86.

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.

Operators which let do a basic mathematical calculation

+ Addition operation: Adds values on either side of the operator.

For example 12 + 2 = 14

- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.

for example 12 -2 = 10

* Multiplication operation: Multiplies values on either side of the operator

For example 12*2 = 24

Given that m is the midpoint of pq,

pm= 9x+3 and mq= 11x-17

⇒ 9x + 3 = 11x - 7

⇒ 3 = 11x - 9x -7

Rearrange the likewise terms and apply the arithmetic operations,

⇒ 3 = 2x - 7

⇒ 10=2x

⇒ x = 10/2

Divided by 2

⇒ x = 5

⇒ pq = 20x-14

⇒ pq = 20*5-14

⇒ pq = 86

Hence, the value of pq is 86.

Learn more about Arithmetic operations here:

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Answer:

at the top of the mountain or hill

Step-by-step explanation:

potential energy is stored energy so therefore the higjestpoint will have the most potential energy.

The skier begins at an elevated position, thus possessing a large quantity of potential energy (i.e., energy of vertical position).

The energy an object has as a result of motion is known as kinetic energy. A force must be applied to an object in order to accelerate it. We must put in effort in order to apply a force. After the work is finished, energy is transferred to the item, which then moves at a new, constant speed.

The skier has a lot of potential energy because they are starting from an elevated position (i.e., energy of vertical position).

If the skier is starting from rest, all of their mechanical energy is potential energy.

and, Potential energy is lost and kinetic energy, or the energy of motion, is acquired as the skier starts the ascent down the hill.

Learn more about Kinetic Energy here:

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Answer:

[tex]D.x=35[/tex]

Step-by-step explanation:

[tex]As\ we\ observe\ that,\ all\ sides\ of\ the\ triangle\ are\ marked\ equal,\ the\ triangle\\ provided\ is\ equilateral.\\This\ implies\ that\ all\ the\ angles\ of\ an\ equilateral\ triangle\ are\ equal\ and\\ measure\ 60\ degree.[Through\ Angle\ Sum\ Property]\\Hence,\\(2x-10)=60\\2x-10+10=60+10[Adding\ 10\ to\ both\ the\ sides]\\2x=70[Simplifying]\\x=\frac{70}{2}[Dividing]\\x=35[Finding\ the\ value\ of\ x]\\[/tex]

Answer:

Third one.

x=6 y=12

Ok!

Answer:

fourth option

Step-by-step explanation:

Given the 2 equations

y = 2x - 3 → (1)

x + y = 18 → (2)

Substitute y = 2x - 3 into (2)

x + 2x - 3 = 18

3x - 3 = 18 ( add 3 to both sides )

3x = 21 ( divide both sides by 3 )

x = 7

Substitute x = 7 into (1) for corresponding value of y

y = 2(7) - 3 = 14 - 3 = 11

Solution is x = 7, y = 11

Answer:

m<GFA = 110

Step-by-step explanation:

1. ABCD - parallelogram                          Definition of a parallelogram

                                                                   (AB ll CD) (AD ll BC)

2. m<B + m<C = 180                                    Consectuive angles in a

   110 + m<C = 180                                       parallelogram are supplementary

    m<C = 70                                    

3. m<GCB = 1/2 m<C                                  Definition of angles bisector

   m<GCB = 70

4. m<B = m<D = 110                                    Opposite angles in a

                                                                    parrallelogram are congruent

5. m<CDG = 1/2 m<D                                 Defintion of an angle bisector

  m<CDG = 55

6. m<GCB+m<CDG+m<CGD=180              Sum of anlges in a triangle (ΔCDG)

  70 + 55 + m<CGD = 180

   125 + m<CGD = 180

   m<CGD = 55

7. m<CGD + m<DGF = 180                            Linear pair, supplmentary angles

  55 + m<DGF = 180

  m<DGF = 125

8. m<C = m<A = 70                                     Opposite angles in a paralellogram

                                                                     are congruent

9. m<ADG = 1/2m<D                                       Definiton of an angle bisector

  m<ADG = 55

10.m<ADG+m<DFG+m<GFA+m<A=360        Sum of angles in quadrilateral

   55 + 125 + m<GFA + 70 = 360                    DGFA

    m<GFA + 250 = 360

   m<GFA = 110

Answer:

addition

Step-by-step explanation:

if you add the 4 to the -2 you will get x=2 therefore isolating the variable

Answer:

og

Step-by-step explanation:

Answer:

x=1

Step-by-step explanation:

Answer:

(f О g)(25) is -135

Step-by-step explanation:

The composite function (f О g)(x) means substitute x in f by g

∵ f(x) = -2x² - 7

∵ g(x) = √3 + 3

→ To find (f О g)(25), find g(25) first, then substitute x in f by the value of g(25)

∵ x = 25

∴ g(25) = √25 + 3

∵ √25 = 5

∴ g(25) = 5 + 3

∴ g(25) = 8

→ Now substitute x in f by 8

∵ x = 8

∴ f(8) = -2(8)² - 7

∴ f(8) = -2(64) - 7

∴ f(8) = -128 - 7

∴ f(8) = -135

∴ (f О g)(25) = -135

Answer:

first option

Step-by-step explanation:

Given

area = 15x - 9 ← factor out 3 from each term

       = 3(5x - 3)

Thus the dimensions are 3 by (5x - 3)

Answer:

it's almost $100 and there's $17 off. so 99.99-17  would make the exact cost 82.99

82.99/99.99= 0.8299 so you payed 83% and that would make it so you got a 17% discount.

but if you didn't want to do all the math, you could've just rounded the 99.99 up to 100, and $17 would make it a 17% discount.

Answer:

B) 3

Step-by-step explanation:

add 5 to both sides, 4x=12

divide both sides by 4, x=3

Answer:

The answer is B) 3

Step-by-step explanation:

You add 5 to 7 to move it from one side to the other

You should then have 4y=12

Then to solve for why you divide 12 by 4

You will get y=3

So your answer is 3

Answer:

Damian's test score is 1.50 standard deviations above the average test score of students in the course.

Step-by-step explanation:

Took the test

Answer: 221.10

Step-by-step explanation:

Answer:

BC= 3

Step-by-step explanation:

Suppose a line BD is 10 and it has a point C somewhere on the  line. It is given that BC is  3times and CD is 7 times  or algebraically  if we take x as a variable then according to the given information

BC+ CD= BD

3x+ 7x= 10

10x= 10

x= 10/10

x= 1

3x would give 3 (1)= 3

Hence the Line BC = 3

and the line CD= 7

Answer:

A: yes :)

Step-by-step explanation:

Given:

Cost of small candles = $4.00

Cost of large candles = $6.00

They have at most 50 candles, and want to make at least $100.

To find:

The system of linear inequalities represents the situation.

Solution:

Let x be the number of small candles and y be the number of large candles.

At most 50 candles means total candles must be less than or equal to 50.

[tex]x+y\leq 50[/tex]

Want to make at least $100. It means, the total sales must be greater than or equal to $100.

[tex]4x+6y\geq 100[/tex]

Therefore, the inequalities in the system of linear inequalities are [tex]x+y\leq 50[/tex] and [tex]4x+6y\geq 100[/tex].

Answer:

_+5 is the best way to get the best way answer

Answer:

Step-by-step explanation:

Well lets try to simplify this.

-3y= -4x +17

y=4/3 x - 17/3

Thus y-int is (0, -17/3)

To solve for x-int, y=0

y=4/3 x - 17/3

0=4/3 x - 17/3

4/3 x = 17/3

x=17/4

Thus x-int is (17/4, 0)

Answer:

To do this, all you need is to draw triangle with each side being 7 cm, and a circle that intersects all three of its corners.

Step-by-step explanation:

You now have an equilateral triangle with 7cm sides.  Next you need to draw the circle

And you're done!

Answer:

any number less than 3

Step-by-step explanation:

Answer:

y-12<-32

Step-by-step explanation:

just remember to underline the less than sign

Answer:

this will be 12

Step-by-step explanation:

since you said =12

Answer: 100 + 45t

Step-by-step explanation:

From the question, we are informed that Damien deposited $100 into his savings account and that he then deposits $15 three times per month.

The equation that shows the amount in Damien's savings account after t months will then be:

= $100 + [($15 × 3) × t months]

= $100 + $45t

= 100 + 45t

Answer:

give the person above brainliest

Step-by-step explanation:

Answer:

$9450

Step-by-step explanation:

Given that:

The price of the home = $450000

The interest = 7.8%

Down payment = 30% of price of the home

i.e 0.3 × 450000 = 135000

The principal outstanding balance = 450000 - 135000

= 315000

Finally, the cost of 3 points will be;

[tex]= 315000 \times \dfrac{3}{100}[/tex]

= $9450

Answer: 0.5625

Step-by-step explanation:

A is ur answer

h ope it helps!