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solve for f(3) if
f(x)=x^3+2x^2-x-1

Answer:

(-2, -3/5) IS THE CORRECT ANSWER

Step-by-step explanation:

The vertex of the function y = (1/5)x² + (4/5)x + 1/5 is (-2, -3/5).

To find the vertex of the quadratic function in the form y = ax² + bx + c, we can use the formula:

x = -b / (2a)

y = f(x) = ax² + bx + c

For the given function y = (1/5)x² + (4/5)x + 1/5,

a = 1/5

b = 4/5

c = 1/5

Now we can find the x-coordinate of the vertex:

x = -b / (2a)

 = -(4/5) / (2 x (1/5))

 = -4/5 / (2/5)

 = -4/5 x 5/2

 = -4/2

 = -2

To find the y-coordinate, substitute the value of x

y = (1/5)(-2)² + (4/5)(-2) + 1/5

 = (1/5)(4) + (-8/5) + 1/5

 = 4/5 - 8/5 + 1/5

 = -3/5

Therefore, the vertex of the function y = (1/5)x² + (4/5)x + 1/5 is (-2, -3/5).

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Answer:

7

Step-by-step explanation:

trio meaning 3 quartet (quart) 4

Answer:

That's cheating my guy...................

Answer:

160°

Step-by-step explanation:

Let one angle be x

Let second angle be 8x

Sum of supplementary angles = 180°

x+ 8x = 180°

9x = 180

x = 180/9 = 20

First angle= x= 20°

Second angle = 8x = 8*20 = 160°

Answer:it’s C

Step-by-step explanation:

The system of inequalities can be used to determine, if The selling price of model A was less than $8,000, The selling price of model B was at most $10,000, are x < 8000 × 0.88, and y < 1000 × 0.85.

The selling price of a good or service is the final cost to the seller, or what the buyer actually pays. A commodity or service in a specific amount, weight, or measurement can be exchanged.

It is one of the most crucial things for a business to decide. It is significant since it determines whether it will survive. Sales of a product are directly impacted by its price.

Given:

The selling price of model A was less than $8,000,

The selling price of model B was at most $10,000,

The price of model A is decreasing at a rate of 12% each year,

The price of model B is decreasing at a rate of 15% each year,

Write the inequality as shown below,

Assume the selling price of A is x,

x < 8000

Assume the selling price of B is y,

y < 1000

The decreased selling price of A,

x < 8000 × (1 - 0.12) = x < 8000 × 0.88

The decreased selling price of B,

y < 1000 × (1 - 0.15) = y < 1000 × 0.85

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Answer:

Amount Dan has = $17

Amount Ann has = $27

Amount Pablo has = $34

Step-by-step explanation:

Total amount they have = $78

Let

Amount Dan has = x

Amount Ann has = x + 10

Amount Pablo has = 2x

Total = Dan + Ann + Pablo

78 = x + (x + 10) + 2x

78 = x + x + 10 + 2x

78 = 4x + 10

78 - 10 = 4x

68 = 4x

x = 68/4

x = 17

Amount Dan has = x = $17

Amount Ann has = x + 10

= 17 + 10

= $27

Amount Pablo has = 2x

= 2(17)

= $34

Answer:

2nd option

{(-8, -2), (-4, 1), (0, -2), (2, 3), (4, -4)}

Step-by-step explanation:

For a function to exist, every value of input must have exactly one value of output.

The rest of the relations(1, 3, and 4) have 2 outputs for 1 input so they dont make a function.

Answer:

(B)

Step-by-step explanation:

If you noticed, all the other input values have one input value that has two output values. This doesn't represent a function. Only (B) has one output for each input.

Hope that helps (●'◡'●)

Answer:

x = 0

Step-by-step explanation:

This is a vertical line, in fact the y- axis

The equation of a vertical line is

x = c

where c is the value of the x- coordinates the line passes through

All of the x- coordinates on the y- axis are zero, then

x = 0 ← equation of line

Answer:

The equation of line which is parallel to the given line is y =  3 x + k.

Step-by-step explanation:

The equation of the line is

y = 3 x - 8

Compare with the standard equation

y = mx + c

The slope of line is

m = 3

So, the line parallel to the given line is

y = 3 x + k

where, k is any real number.

Answer: B and D because for the 1st quadrant both x and y need to be positive

Step-by-step explanation:

B. (2,2)

D. (4,8)

The format for 1st quadrant is: (+,+).

Answer:

100

Step-by-step explanation:

[tex](100 \times 3) - (100 \times 2) = 100 [/tex]

Answer:

[tex]{ \bf{x = \sqrt{ {12}^{2} - { \sqrt{122} }^{2} } }} \\ x = \sqrt{22} \: in[/tex]

the answer will be

Hooe it helps!

Answer:

Perimeter on one face =4× side =8

Hence the side of the cube is 2 units.

So the volume of the cube is (side)^3=(2)^3=8 cubic units

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

[tex]12x^3+2x[/tex]

Step-by-step explanation:

The perimeter of a polygon is equal to the sum of its sides.

The sides in the triangle shown have lengths [tex]2x^3+6x[/tex], [tex]4x^3-5x[/tex], and [tex]6x^3+x[/tex] in no specific order.

Since its perimeter is given by the sum of its sides, the perimeter is equal to:

[tex]2x^3+6x+4x^3-5x+6x^3+x[/tex]

Combine like terms:

[tex]\boxed{12x^3+2x}[/tex]

Answer:

6/4 or 1 1/2

Step-by-step explanation:

You have to use the Keep Change Flip technique.

Keep 3/4.

Change the division symbol to a multiplication one

Flipi 1/2 to 2/1

and when you multiply the answer is 6/4 = 1 1/2

Answer:

1. D

2. C

3. B

4. A

Step-by-step explanation:

just match up the number y is on the right side and x on the left side like this (x,y)

Answer:

x= 5/2= 2.500

x= -1 - Divisor: -3/2 = -1-(i)Divisor:3/2= 0.5000-0.8660(i)

x= -1+Divisor: -3/2= -1+(i)Divisor:3/2=-0.5000+0.8660(i)

Step-by-step explanation:

STEP

1

:

Equation at the end of step 1

 (((2 • (x3)) -  3x2) -  3x) -  5  = 0  

STEP  

2

:

Equation at the end of step

2

:

 ((2x3 -  3x2) -  3x) -  5  = 0  

STEP

3

:

Checking for a perfect cube

3.1    2x3-3x2-3x-5  is not a perfect cube

Trying to factor by pulling out : 3.2      Factoring:  2x3-3x2-3x-5  

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1:  -3x-5  

Group 2:  -3x2+2x3  

Pull out from each group separately :

Group 1:   (3x+5) • (-1)

Group 2:   (2x-3) • (x2)

Bad news !! Factoring by pulling out fails :

Answer:

2x² + 5x – 18 Remainder 59

Step-by-step explanation:

2x³ – x² – 3x + 5 ÷ x + 3

                   2x² + 5x – 18

x + 3 √ 2x³ – x² – 3x + 5

        – 2x³ – 6x²

            0  +  5x² – 3x + 5

                  – 5x² + 15x

                    0 – 18x + 5

                    – –18x –54

                             0 + 59

2x³ – x² – 3x + 5 ÷ x + 3 = 2x² + 5x – 18 Remainder 59

Answer:

C

Step-by-step explanation:

Let m represent Mark's age and j represent Jeffrey's age.

Mark is five years older than Jeffrey. Hence:

[tex]m=j+5[/tex]

The sum of Mark's age and triple Jeffrey's age is 73. In other words:

[tex]m+3j=73[/tex]

We can substitute:

[tex](j+5)+3j=73[/tex]

Therefore, our answer is C.

Answer:

1..9.9

2....23.9

3...106.9

4....21.8

Step-by-step explanation:

1-9.9

2-23.9

3-106.9

4-21.8

5-95.01

6-715.8

Answer:

57°,123°,57°,123°

Step-by-step explanation:

as vertical angles are equal

so one angle=114/2=57°

other angle=180-57=123°

Answer:

pic pls

Step-by-step explanation:

Answer:

67°

Step-by-step explanation:

Answer:

3. The number of students that rode on each bus

Step-by-step explanation:

The equation they give us is:

2b + 6 = 70

The question already tells us that in this equation:

2 is the 2 buses that the school hired

6 is the 6 leftover kids who couldn't fit on the 2 buses

The question also tells us that the 2 buses only have a total of 64 seats, so 32 seats on 1 bus (64/2 = 32).

So that means b would equal the 32 seats on 1 bus, or the number of students that rode on each bus.

Hope it helps (●'◡'●)

Answer:

Answer D is TRUE because on the graph if you were to keep going left even after the picture of the graph ends, the graph will still keep going up infinitely.

Step-by-step explanation:

Answer:

5x^3+15x^2-35x

Step-by-step explanation:

Firstly, you want to combine the "x"s in the (5x*x^2) and the (5x*3x). Once you have that (you will get 5x^3 and 15x^2), you can move onto the last set of parenthesis. We can get 35x from here. Finally, the last step is to add the correct signs. Our final answer will then be 5x^3+15x^2-35x. I hope this helped and please don't hesitate to reach out with more questions!

Answer:

10.2%

Step-by-step explanation:

The given population of the village in 2017 = 7,500

The given population of the village in 2019 = 8,265

The percentage increase in the population of the village from 2017 to 2019 is given by the following percentage increase formula;

[tex]Percentage \ increase = 100 \times \dfrac{Final \ value - Initial\ value}{Initial \ value}[/tex]

The final value of the population in 2019 = 8,265

The initial value of the population in 2017 = 7.500

Therefore;

[tex]Percentage \ increase \ in \ the \ population = 100 \times \dfrac{8,265 - 7,500}{7,500} = 10.2 \%[/tex]

The percentage increase in the population = 10.2%

Answer:

I can't see the picture

Step-by-step explanation:

SORRY :(

Answer:

x = -4 ±3

x = -7,-1

Step-by-step explanation:

x^2 + 8x     = -7

1/2 B ^ 2 = 16

x^2 + 8x  + 16    = 16 -7

(x + 4) ^2 = 9

x + 4 = ±3

x = -4 ±3

x = -7,-1

Answer:

option e

Step-by-step explanation:

It should be arranged in table form

Row ------> Classes

Column  -----> Courses

                     Sophomores           Juniors          Seniors

Biology                 110                        60                 20

Chemistry              50                        140               85

Physics                    17                         70                107