HELP ASAP 100 POINTS!!!
The table of values represents the function g(x) and the graph shows the function f(x).
Which statement about the functions is true?

1. f(x) is greater than g(x) for all values of x.

2. f(x) and g(x) have the same y-intercept.

3. f(x) and g(x) intersect at two points.

4.f(x) and g(x) have a common x-intercept.

Answer:

A

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer:

( 3x − 1) ( 5x^2 + 2 )

Step-by-step explanation:

15x^3 − 5x^2 + 6x − 2

= ( 3x − 1) ( 5x^2 + 2 )

Using factorization by grouping, the resultant expression is [tex](5x^{2} +2)(3x-1)[/tex].

Factorization by grouping means that we need to group the terms with common factors before factoring.

[tex]= 15x^{3} - 5x^{2} + 6x-2\\ =5x^{2} (3x-1)+2(3x-1)\\=(5x^{2} +2)(3x-1)[/tex]

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Answer:

B. (2,5)

Step-by-step explanation:

Given

Points:  (6,3), (-2,7)

Required

Midpoint

Midpoint is calculated as follows:

[tex](x,y) = (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

Where

[tex](x_1,y_1) = (6,3)[/tex]

[tex](x_2,y_2) = (-2,7)[/tex]

So,

[tex]x_1 = 6; y_1 = 3; x_2 = -2; y_2 = 7[/tex]

By substituting these values in the given formula

[tex](x,y) = (\frac{6-2}{2},\frac{3+7}{2})[/tex]

[tex](x,y) = (\frac{4}{2},\frac{10}{2})[/tex]

[tex](x,y) = (2,5)[/tex]

Hence, the midpoint of the line segment is (2,5)

Answer:

40

Step-by-step explanation:

Divide the list of numbers in half.

Since there are 9 numbers (odd number), divide like this :

14, 18, 20, 21      25       32, 42, 46, 48

Find the median of the third one. 

(46 + 42)/2 = 44

So the answer is 44

Hope this helped!

please mark me brainliest :)

Answer:

[tex]60ft[/tex]

Step-by-step explanation:

Use the formula for the perimeter of a rectangle.

[tex]P=2l+2w[/tex]

[tex]180=2l+2(30)[/tex]

[tex]180=2l+60[/tex]

[tex]180-60=2l[/tex]

[tex]120=2l[/tex]

[tex]\frac{2l}{2}=\frac{120}{2}[/tex]

[tex]l=60[/tex]

Answer:

d. 8

Step-by-step explanation:

sin(α) = opposite/hypotenuse

sin(30°) = 4/x

x = 4/sin(30°) = 4/(1/2) = 8

Answer:

C

Step-by-step explanation:

-3x - 2 ≥ 7

-3x ≥ 9

x ≤ -3

Answer:

c

Step-by-step explanation:

-3x-2 greater than or equal to 7

-3x greater than or equal to 9

x less than or equal to -3

(flip the inequality sign if you multiply by a negative number on both sides)

c

Answer:

23/34

Step-by-step explanation:

This is guessing you only have fiction books.

Answer:

The correct option is C.

Step-by-step explanation:

To have this credit card there is two fees, one that is fixed payed upfront and other that is payed after the second month. The fixed fee costs $62, and doesn't escalate with time, while the other one is $30 and starts to be charged after the second month. Therefore, the total cost of the card is the fixed fee plus the monthly fee multiplied by the number of months the user had the card subtracted by two, or as shown below:

[tex]C(g) = 62 + 30*(g-2)[/tex]

The correct option is C.

Answer:

Angle 4

Step-by-step explanation:

The angle that is Alternate Interior Angle with [tex]\angle 5[/tex], would be [tex]\angle 4[/tex], because they both lie inside of the transversal and they lie in the opposite sides.

Answer:

(3,12)

Step-by-step explanation: The slope is rise over run so the rise is x and run run is the y

Answer:

[tex](x+10)(x-2)[/tex]

Step-by-step explanation:

[tex]x^2+8x-20=\\\\(x+10)(x-2)[/tex]

You can confirm this by working backwards, expanding:

[tex](x+10)(x-2)=\\\\x^2+10x-2x-20=\\\\x^2+8x-20[/tex]

Hope this helps!

Answer: x=7

Step-by-step explanation:since the diagonal line divides the angle into half, and it’s a square, so the angle would be 90 degree /2 = 45 degree.

so 4x+17 = 45, 4x = 28, x = 7

Answer:

41 degrees to the nearest degree.

Step-by-step explanation:

A line drawn from the vertex and bisecting the base forms 2 right triangles.

The base of one right triangle = 1/2 * 12 = 6 m.

So cos A = adjacent side /hypotenuse   where A is the angle of inclination.

cos A=  6 / 8 = 0.75

m < A = 41.41 degrees.

Answer:

12.1 cm

Step-by-step explanation:

We need to utilise Pythagoras theorem here. Pythagoras states that the 2 legs of the triangle square equal the hypotenuse squared so the formula for this is a² + b² = c²

In the question we are already presented with the hypotenuse so we will have to substitute in the values and rearrange

→ Form equation

7² + b² = 14²

→ Simplify

49 + b² = 196

→ Minus 49 from both to isolate b²

b² = 147

→ Square root both sides to isolate b

b = 12.12435565

The value of x to 1 decimal place is 12.1

Answer:

17

-12 - -5 = -17

-17 is 17 numbers away from 0 so 17 is the answer

Hope this helps

Step-by-step explanation:

Answer:

The relationship is not proportional.

Step-by-step explanation:

To see if many ratios are (fair in amount, related to something else/properly sized compared to something else), you could write them as fractions, reduce them, and compare them. If the reduced fractions are all the same, then you have (fair in amount, related to something else/properly sized compared to something else) ratios.

y/x=c.o.p

c.o.p=constant of proportionality.

the rate of change also know as the constant of (fair in amount, related to something else/properly sized compared to something else)ity (k = y/x) which is the constant ratio between two (fair in amount, related to something else/properly sized compared to something else) amounts y/x represented by the symbol k which may be a positive clear and sensible number. The x value is related to the y value such as in the equation y = kx.

Answer:

Area to be removed = 3600000 feet³

Step-by-step explanation:

We need to calculate the volume of soil to be removed. We have been already provided with area of the lot in feet.

Total Area of soil = 1200' x 1500'

Where soil to be removed is given in inches, convert it into feet

Soil to be removed = 24''=2'

Multiply both the the value to get the volume of soil to be removed so the soil is not a health hazard

Area to be removed = 1200' x 1500' x 2'

Area to be removed = 3600000 feet³

Answer:

B

Step-by-step explanation:

She needed to raise at least $250

$250 divided by $10 equals 25 km

So she need more than 25km to raise over $300

Answer:

x=7

Step-by-step explanation:

CE = 36

CE = 9+(3x+6) = 9+6+3x = 15+3x

36= 15+3x

36-15 = 15-15+3x (removing 15 from left side also means removing 15 from right side)

21 = 3x

x= 21/3 = 7

Answer:

x=7

Step-by-step explanation:

First, I wrote down the equation.

3x+6=36-9

Then, I simplified it.

3x+6=27

Then, I moved the six from the right to the left.

3x=21

After that, I divided both sides by 3.

x=7

Yay! You got your answer!

[tex]option \: a \: is \: the \: right \: answer \\ y = \sqrt{x} - 5 \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]

The range of function y=√x+5 is -4.

A function's range refers to all of the potential values for y.

The formula for determining a function's range is y = f (x). If every x value corresponds to only one y value, the relation is only a function.

As, we know that the Domain is the input values and Range is the output values.

Now, we have range is -4.

First, -4 = √x - 5

-4 + 5 = √x

√x = 1

x = ±1

Second, -4 = √x+ 5

-4 -5 = √x

√x = -9

x = 81

Third, -4 = √(x + 5)

16 = x+ 5

x = 11

Fourth, -4 = √(x -5)

16 = x - 5

x = 21

So, the range of function y=√x+5 is -4.

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Answer:

12

Step-by-step explanation:

f(x) = sqrt( x-5)+3

Let x = 86

f(86) = sqrt(86 -5) +3

f(86) = sqrt(81) +3

f(86) = 9+3

f(86) = 12

The side length is 12

Answer:

1. 1/2

2. 1

3. 0

Step-by-step explanation:

Answer:

B. 0.35 + 0.03x = 0.45 + 0.02x

Step-by-step explanation:

I don't really know how to explain it, but it is correct.

Answer:

3 b 11 6

Step-by-step explanation:

3 b 1 2 ⋅ b 4 3

Move  

b 4 3 . 3 ( b 4 3 b 1 2 )

Use the power rule  

a m a n = a m + n

to combine exponents.

3 b 4 3 + 1 2

To write  

4 3

as a fraction with a common denominator, multiply by  

2 2 . 3 b 4 3 ⋅ 2 2 + 12

To write  1 2

as a fraction with a common denominator, multiply by  

3 3 . 3 b4 3 ⋅ 2 2 + 1 2 ⋅ 3 3

Write each expression with a common denominator of  

6

, by multiplying each by an appropriate factor of  

1 .

Tap for more steps...

3 b 4 ⋅ 2 6 +3 6

Combine the numerators over the common denominator.

3 b 4 ⋅ 2 + 3 6

Simplify the numerator.

Answer:

4/15

Step-by-step explanation:

-1/3-(-3/5)

Subtracting a negative is like adding

-1/3 + 3/5

We need to get a common denominator of 15

-1/3 *5/5    + 3/5 *3/3

-5/15     + 9/15

4/15

Answer:

4/15

Step-by-step explanation:

-1/3 + 3/5 (2 negatives make a positive)

Taking the lowest common multiple, we get:

= (- 5 + 9)/15

= 4/15

Hope this helps!

Answer:

The odd that B draws an ace is 3/51 or 1/17

No, it is independent because they don't know if the card they draws is an ace or not. Because if B take the card first also it would be ace so it isn't dependent i think

The answer to this problem is 120

Answer:

15+[tex]15x+7[/tex]

Step-by-step explanation:

Answer:

The answer would be x=8/5 or 1 3/5