Given the relation y = –4x2 – 8, if the input is 2, what is the output?

8
–8
–16
–24

Answer:

none

Step-by-step explanation:

If (x + h) is a factor of f(x) then f(- h) = 0

Given

f(x) = [tex]x^{4}[/tex] + x³ - x² + x - 1

If (x + 1) is a factor then f(- 1) = 0

f(- 1) = [tex](-1)^{4}[/tex] + (- 1)³ - (- 1)² + (- 1) - 1 = 1 - 1 - 1 - 1 - 1 = - 3 ≠ 0

Thus (x + 1) is not a factor

If (x - 1) is a factor then f(1) = 0

f(1) = [tex]1^{4}[/tex] + 1³ - 1² + 1 - 1 = 1 + 1 - 1 + 1 - 1 = 1 ≠ 0

Thus (x - 1) is not a factor

Answer:

<2 is 45°

Step-by-step explanation:

180° - 135° = 45° (<6){Sum of Angles on a straight line}

<6=<3=45°{ Alternate angles}

<3=<2=45°{vertically opposite angles are equal}

Answer:

Part A)

The slope is 3.

Part B)

[tex]\displaystyle y-1=3(x+3)[/tex]

Part C)

[tex]\displaystyle y=3x+10[/tex]

Step-by-step explanation:

We know that the line goes through the points (-3, 1) and (-2, 4).

Part A)

To find the slope of a line given two points, we can use the slope formula:

[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Where (x₁, y₁) and (x₂, y₂) are our two points.

So, let’s let (-3, 1) be (x₁, y₁) and let (-2, 4) be (x₂, y₂). Substitute appropriately:

[tex]\displaystyle m=\frac{4-1}{-2-(-3)}[/tex]

Evaluate:

[tex]\displaystyle m=\frac{3}{-2+3}=\frac{3}{1}=3[/tex]

Hence, the slope of our line is 3.

Part B)

Point-slope form is given by:

[tex]\displaystyle y-y_1=m(x-x_1)[/tex]

Where m is our slope and (x₁, y₁) is a point.

So, let’s substitute 3 for m.

For our point, we can use either of the two given. Let’s use (-3, 1) for consistency. So, let (-3, 1) be (x₁, y₁). Therefore:

[tex]\displaystyle y-1=3(x-(-3))[/tex]

Simplify. Hence, our point-slope form is:

[tex]\displaystyle y-1=3(x+3)[/tex]

Part C)

To rewrite into slope-intercept form, we can just solve for y from our point-slope form. So, we have:

[tex]\displaystyle y-1=3(x+3)[/tex]

Distribute on the right:

[tex]\displaystyle y-1=3x+9[/tex]

Add 1 to boths sides. So, our slope-intercept equation is:

[tex]\displaystyle y=3x+10[/tex]

Answer:

The answer is A

Step-by-step explanation:

Camie: $5x + $50 = $55 ( for now/i think)

Jorge: $7x

The  equation to represent  Jorge has saved at least the same amount as Camie is 7w = 5W + 50.

The correct option is (A)

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides. We have LHS = RHS (left hand side = right hand side) in every mathematical equation.

To determine the value of an unknown variable that represents an unknown quantity, equations can be solved. A statement is not an equation if it has no "equal to" sign.

Given:

Camie saves $5 per week plus $50 she receives for her birthday.

Jorge saves $7 per week.

Now, Jorge have to achieve the same amount as Camie.

let w be the number of weeks.

Then equation can be represented as

7w = 5W + 50

Here 7w is amount by Jorge and 5W + 50 is amount of Camie.

Hence, the equation to represent  Jorge has saved at least the same amount as Camie is 7w = 5W + 50.

Learn more about equation here:

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Answer:

48 cm^2

Step-by-step explanation:

First find the area of each shape.

2 triangles- [bxh]x1/2

(4 times 3)(divided by 2) = 6, but there are 2 triangles so 6+6=12

Square- (l x w)

3 times 3 (You get the other three from the other side of the rectangle) =9

Left rectangle- (l x w)

3 times 4 = 12

Right rectangle- (l x w)

5 times 3 (You get the three from the side of the square) = 15

Total: 2 triangles Area + Square Area  + Left rectangle Area+ Right rectangle Area = Surface Area

12 + 9 + 12 + 15 = 48 cm^2

Hope this helps!!

Answer:

Option (C)

Step-by-step explanation:

Domain of a function is a set of x-values (input values) of the function.

Similarly, Range of a function is a set of y-values (output values).

Given set of ordered pairs is {(-2, -1), (2, 1), (1, 5), (-2, 4)}.

Domain → {-2, 2, 1, -2}

Range → {-1, 1, 4, 5}

Option C will be the correct option.

Answer:

14:8

Step-by-step explanation:

Similar triangles may or may not be congruent.

Question 1 to 6:

Triangles XYZ and NPQ are similar triangles.

This means that:

Angles Z and Q, lines YZ and PQ, angles P and Y, angles X and N, lines NQ and XZ, lines PN and YX are corresponding sides and angles

Question 7 to 12:

Triangles LMN and CBA are similar triangles.

This means that:

[tex]\mathbf{7z+6 = 5y}[/tex]

[tex]\mathbf{2y-12 = z + 12}[/tex]

Collect like terms

[tex]\mathbf{2y= z + 12+12}[/tex]

[tex]\mathbf{2y= z + 24}[/tex]

Make z the subject

[tex]\mathbf{z = 2y -24}[/tex]

Substitute [tex]\mathbf{z = 2y -24}[/tex] in [tex]\mathbf{7z+6 = 5y}[/tex]

[tex]\mathbf{7(2y -24) + 6 = 5y}[/tex]

[tex]\mathbf{14y -168 + 6 = 5y}[/tex]

[tex]\mathbf{14y -162 = 5y}[/tex]

Collect like terms

[tex]\mathbf{14y -5y = 162}[/tex]

[tex]\mathbf{9y = 162}[/tex]

Divide both sides by 9

[tex]\mathbf{y = 18}[/tex]

Recall that: [tex]\mathbf{z = 2y -24}[/tex]

[tex]\mathbf{z = 2 \times 18 - 24}[/tex]

[tex]\mathbf{z = 12}[/tex]

[tex]\mathbf{L = 60}[/tex]

[tex]\mathbf{LN = 2y - 12}[/tex]

[tex]\mathbf{LN = 2 \times 18 - 12}[/tex]

[tex]\mathbf{LN = 24}[/tex]

[tex]\mathbf{C = L}[/tex]

[tex]\mathbf{C = 60}[/tex]

[tex]\mathbf{AC = LN}[/tex]

[tex]\mathbf{AC = 24}[/tex]

Question 13:

The congruent parts are: KL and RQ,  KJ and RS, QS and LJ

Read more about congruent and similar triangles at:

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Answer:

it's the number that u end up with at the bottomof the division process. hope this helps...

Step-by-step explanation:

Answer:

[tex] {2x}^{2} + 3x - 11 + \frac{19x + 23}{ {x}^{2} + 2x + 2} [/tex]

Also, the term remaining after the last subtract step is the remainder and must be written as a fraction in the final answer.

Answer:

142

Step-by-step explanation:

<38 and <6 are vertical angles so they both measure 38

<6 and <5 are same side interior angles so they add up to 180

knowing this, you can simply subtract 38 from 180 to find <5

180 - 38 = 142

Answer:

Given AD = 7 and DB = 12, to find AB you need to add them

AB = 12+7

AB = 19

The measure of the line segment AB is 19 units.

Suppose we've two endpoints of a line segment as:

A(p,q), and B(m,n)

Then let the midpoint be M(x,y) on that line segment. Then, its coordinates are:

[tex]x = \dfrac{p+m}{2}andy = \dfrac{q+n}{2}[/tex]

We are given that;

AD = 7, and DB = 12

Now,

To find the measure of the line segment AB, we need to use the segment addition postulate. The segment addition postulate states that if a point is between two other points on a line segment, then the sum of the lengths of the two smaller segments is equal to the length of the larger segment.

In this problem, D is between A and B, so we can apply the segment addition postulate and write:

AD + DB = AB

Substituting the given values of AD and DB, we get:

7 + 12 = AB

Simplifying, we get:

19 = AB

Therefore, by the given point the answer will be 19 units.

Learn more about mid point here;

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Answer:

22.1

Step-by-step explanation:

divide 16.9 by 13= 1.3

17x1.3=22.1

Answer:

If only one vertical line intersects the graph at exactly one point, the graph represents a function.

Answer:

12/10 =1.2 - 1 = 0.2 x 100 = 20%

Step-by-step explanation:

Answer:

45% increased.

Answer:

 run / rise =5/1

Step-by-step explanation:

The run is 5 and the rise is 1

Answer:  The characteristics of an annual percentage rate are that it can change over time for certain kinds of loans; it is the interest charged each year for a loan; and it can be reduced to reflect the borrower’s credit history.

Step-by-step explanation:

Answer:

$58.33

Step-by-step explanation:

Set up a proportion where x is the amount she makes for 7 hours:

[tex]\frac{3}{25}[/tex] = [tex]\frac{7}{x}[/tex]

Cross multiply and solve for x:

3x = 175

x = 58.33

So, after working for 7 hours, she will make $58.33

Answer:

About 60-65$

Step-by-step explanation:

Because every 3 hours she gets $25 and she worked 7 hours so there's 6 in 7 hours so 25+25 is 50 and the other hour would be half of 25 so 12.5 so between 60-65. Im so sorry if its wrong hope it worked tho! <3

Answer:

The y-intercept moves 13 spaces lower

Step-by-step explanation:

Answer:

The y-intercept moves 13 spaces lower

Step-by-step explanation:

Answer:

Subtract [tex]7x[/tex]from both sides of the equation.

Step-by-step explanation:

According to the following equation, The first step you would take is to subtract [tex]7x[/tex] from both sides of the equation.

Answer:

So whats the question?

Step-by-step explanation:

Answer:

I think 32

I'm not sure

Answer:

s = 54/31

r= -156/31

t= -17/31

Step-by-step explanation:

Answer:

1. x= 5/3 or 1.6 and y= -10

2. x= -1 and y= 2

Step-by-step explanation:

1. y= 6x - 10, 0= 6x - 10, -6x= -10, x= 5/3

2. y= 2x + 2, 0= 2x + 2, -2x= 2, x= -1

Answer:

x<1200

X is the number of seats

X>3

Step-by-step explanation:

Answer:

-1,2

Step-by-step explanation:

4-5=-1

3-1=2  

y2-y1

x2-x1

Answer:

30,000

Step-by-step explanation:

3/2 multiplied by 20k is

3 x 20000 over 2

which is 60000 over 2

which is 30000

Answer:

Step-by-step explanation:

Putting values

2[8(2(3)+ 3(1)]

2(8(9)

2(72)

144