I am so confused, can anyone help?

The attached graph is defined by f(x) = x² + 5|x| + 6.

What is the graph function?

The graph of a function f is the set of all points in the plane of the form (x, f(x)). We could also define the graph of f to be the graph of the equation y = f(x). So, the graph of a function is a special case of the graph of an equation.

We have,

y = x² + 5|x| + 6

we know,

|x|² = x² use this ,

y = |x|² + 5|x| + 6

Steps for drawing y = |x|² + 5|x| + 6

step1 :- first draw y = x² + 5x + 6, this graph is quadratic equation .

step2:- Leave the part of y=x² + 5x + 6 right side to the y-axis and also take its image with respect to the y-axis as a plane mirror.

step3 :- now remove the part of y = x² + 5x + 6 to left side from y - axis .

now your graph is ready

you can see in the figure attached.

Hence, the attached graph is defined by f(x) = x² + 5|x| + 6.

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C. size

because when things dilate they change in size but not shape, orientation or betweenness

Answer: 12 pack.

Step-by-step explanation: 25.20 divided by 12 shows us that each gatorade costs 2.1 dollars. Now add the 3 gatorade worth to 25.2. You get 31.5 which is less than 33, showing that 12 pack is more worth as you pay less for 15 aswell.

Step-by-step explanation:

Using linear regression, you'd expect 50 people to sign up on day 7.

Answer:

[tex]\huge\boxed{\sf c=\frac{ad}{e-b}}[/tex]

Step-by-step explanation:

[tex]\displaystyle b + \frac{ad}{c} = e[/tex]

Subtract b to both sides

[tex]\displaystyle \frac{ad}{c} = e-b[/tex]

Multiply c to both sides

[tex]ad=c(e-b)[/tex]

Divide (e - b) to both sides

[tex]\displaystyle \frac{ad}{e-b} = c\\\\\boxed{c=\frac{ad}{e-b} }[/tex]

[tex]\rule[225]{225}{2}[/tex]

it must be A because it's is going down word

Answer:

Slope is negative

Step-by-step explanation:

from one point to the next, it goes down 1 (-1) and over 4 (4)

or, from one point it goes left 4 (-4) and up 1 (1) just depending on how tou look at it.

Answer:

88 ft^2

Step-by-step explanation:

we can make this a full 10 by 10 rectangle and find the area

10x10

100

And now we subtract the 6 by 2 triangle area that we added

6x2

12

100-12

88 ft^2

Hopes this helps please mark brainliest

Answer:

Answer = 88 ft²

Step-by-step explanation:

Step 1: Divide the composite shape into two separate parrellagrams

    1. Dimensions of shape 1: Length is 10 ft, and width is 4 ft

    2. Dimensions of shape 2: Length is 8 ft, and width is 6 ft

Step 2: Multiply the length by the height of each shape

    Area = lw

    3. Area of shape 1: 10 ft ∙ 4 ft = 40 ft²

    4. Area of shape 2: 8 ft ∙ 6 ft = 48 ft²

Step 3: Add both areas together to get the total area of the composite shape

    5. 40 ft² + 48 ft² = 88 ft²

    Hence, the total area of this composite figure is 88 ft²

Answer:No, because you cant divide 20 balls into 3 equal groups.

Step-by-step explanation:

Using the equation of the plane and the provided point (1,2,3) with the unit values perpendicular to the plane .The answer is [tex]\frac{x-1}{3.14} + \frac{y-2}{3.14} + \frac{z-3}{3.14} = 1[/tex]

A plane is a doubly ruled surface in two dimensions that is spanned by two linearly independent vectors. A hyperplane is a generalization of the plane to higher dimensions. The dihedral angle is the angle formed by two intersecting planes.

A normal in geometry is a piece of geometry that is perpendicular to another piece of geometry, such as a line, ray, or vector. For instance, the (infinite) line perpendicular to the tangent line to the curve at the point is the normal line to a plane curve at the point.

x1=1

y1=2

z1=3

[tex]\frac{x-x1}{\sqrt{x1^{2}+y1^{2}+z1^{2}}} + \frac{y-2}{\sqrt{x1^{2}+y1^{2}+z1^{2}}} + \frac{z-3}{\sqrt{x1^{2}+y1^{2}+z1^{2}}} = 1[/tex]

[tex]\frac{x-1}{3.14} + \frac{y-2}{3.14} + \frac{z-3}{3.14} = 1[/tex]

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$340 was invested in the 9% fund and 1660 was invested in the 2% profit fund.

Step-by-step explanation:

Let x be amount invested in 9% profit fund

let (2000-x) be the amount invested in the 2% profit fund

.09x+.02 times (2000-x)=89

.09x+40-.02x=89

0.07x=49

x=340

The amount invested in mutual fund A  and mutual fund B is $700 and $1300 respectively.

Profit margin is a measure of profitability. It is calculated by finding the profit as a percentage of the revenue. It is given by :

profit margin = (profit / revenue or return) × 100

Given here $ 2000 invested in two mutual funds

let the amount invested in A be x then the amount invested in B is $2000-x

now profit in dollars from the two mutual funds is equal to $89

therefore, 9% of x + 2% of $2000-x = $89

               0.09x + 0.02×(2000-x) = 89

                     0.09x + 40 - 0.02x = 89  

                                           0.07x = 49

                                                   x = $700

Hence  the amount invested in A is  $700 and amount invested in B is $1300.

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Answer:

B. For 5 students, the cost will be the same, and the cost will be $70

Step-by-step explanation:

Look at the graph and see where the two linear plots intersect.

This point of intersection is at the x value of 5 and y value of 70: (5, 70)

Since the x-axis represents the number of students and y axis the total cost, the answer is B

Answer:

2x - 12

Hope this helps : )

Step-by-step explanation:

The equation for 12 less than twice a number is 2x-12. This is because "12 less than a number" means 12 is being subtracted from a number. The "number" is a variable which can be x. "Twice a number" is the variable being multiplied by 2. So the final equation would be 2x - 12.

a) Corey's percentage increase in pay per hour is 14.2%.

b) When Dele invests $6,000 for 4 years at 3% per annum compound interest, the value of his investment (future value) at the end of 4 years is $15,757.12.

c) The worth of the car at the end of 2020 is $11,812.50, depreciating by 14% per annum.

a. Corey's original pay per hour = £12.36

Corey's new pay per hour = $14.11

Increase in pay = £1.75 (£14.11 - £12.36)

Percentage increase in pay = 14.2% (£1.75/£12.36 x 100)

b. Principal investment = $14,000

Investment period = 4 years

Compound interest rate = 3%

Compounding terms = Annually

The future value (FV) in 4 years:

N (# of periods) = 4 years

I/Y (Interest per year) = 3%

PV (Present Value) = $14,000

PMT (Periodic Payment) = $0

Results:

FV = $15,757.12

Total Interest = $1,757.12

c. Value of a car at the end of 2017 = $17,500

Depreciation rate per annum = 14%

Depreciation period = 3 years (Dec. 31, 2017 - Dece. 2020)

Value of the car at the end of 2020 = $11,812.50 ($17,500 x 1.14⁻³)

Thus, the car will reduce (depreciate) in value every year by 14%, making its value to be $11,812.50 at the end of 2020.

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The length of BD is 9 units when considering the idea of a line segment's midpoint.

A midpoint is a point that lies on a line connecting two other locations and is in the middle of the line. The midpoint is the point on the middle of the line that is equally distant from the two points if a line is drawn connecting the two points. The midpoint is the point B that lies halfway between any two points, let's say A and C. As a result, measuring the length of the line segment and dividing it by two will yield the midway.

According to the given information :

AE = 18, DE = 5

However, D is the middle of CE

CE = 2 × 5 = 10

The line CE will become 10

But AE is the total length of the line segment and it is equal to 18

AE = AC + CE

AC = AE - CE

AC = 8

If AC = 8 , BC = 1/2AC

BC = [tex]\frac{8}{2}[/tex]

BC = 4

The BD becomes BC + CD

BD = 9 units

The length of BD is 9 units when considering the idea of a line segment's midpoint.  

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An arithmetic sequence is a sequence where the difference between each consecutive term is the same.

The sum of an arithmetic sequence is given as,

S(n) = a + d(n - 1)

The total number of books sold over the first 18 months is 7600.

It is a sequence where the difference between each consecutive term is the same.

Example:

2, 4, 6, 8, 10 is an arithmetic sequence.

We have,

In the first month, the author sold 2500 books, but the sales were declining steadily at 12% each month.

This means,

a = 2500

12% of 2500

12/100 x 2500

= 12 x 25

= 300

d = 300

Now,

The sum of an arithmetic sequence is given as,

S(n) = a + d(n - 1)

Now,

n = 18

a = 2500

d = 300

S(23):

= 2500 + 300(18 - 1)

= 2500 + 300 x 17

= 2500 + 5100
= 7600

Thus,

The total number of books sold over the first 18 months is 7600.

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Answer:

7

Step-by-step explanation:

Answer: y= 1/2x+2

Step-by-step explanation:

Using the y=mx+b formula you simply find the slope between the two points considered on a graph

Hope this helps you

Answer:  A.( 2,10) B.(4,6) C(5,4)  D(6,2)

Step-by-step explanation:

Answer:

2.4 × 101

Step-by-step explanation:

that is 24 in scientific notation

Answer:

24 * 10^1

Step-by-step explanation:

Hope this helps. :)

The composition function  for the given function f(x) and g(x) is,

f(g(x)) = 6x^2 - 10x - 21.

What is composition of function?

The mathematical operation known as "function composition" takes two functions, f and g, and creates a function, h = g o f, such that h(x) = g. This operation involves applying the function g to the outcome of applying the function f to x.

Given:

f(x) = 2x - 7

g(x) = 3x^2 - 5x - 7

We have to find the composition function f(g(x)).

[tex]f(g(x)) = f(3x^2- 5x - 7)[/tex]

Plug x = 3x^2 - 5x - 7 in f(x).

[tex]f(g(x)) = 2(3x^2 - 5x - 7) - 7\\f(g(x)) = 6x^2 - 10x - 14 - 7\\f(g(x)) = 6x^2 - 10x - 21[/tex]

Hence, the composition function  for the given function f(x) and g(x) is, f(g(x)) = 6x^2 - 10x - 21.

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The statements that Adriano mixed 19/24 pound of butter with 3/16 pound of honey he ay that he ued 16/8 pound of butter than honey  is not reasonable.

A mixture is a substance made of two or more additional chemical compounds or substances that do not chemically combine. It is actually the physical blending of two or more substances so that they can still be distinguished from one another when combined as solutions, suspensions, or colloids. Physical means can be used to separate them. The different components in any mixture are not created through any sort of chemical transformation. As a result, each component's unique properties are unaltered.

A mixture's constituent parts also do not combine chemically to form new material, in contrast to a compound. Instead, they just combine while retaining their individual traits. because there are variable quantities of the components

Ratio 19/24 is nearby ¾

Ratio 3/16 is nearby ¼

And ratio 16/8 is nearby 2

So, that his statements is not reasonable.

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Answer:

Step-by-step explanation:

32

Answer:

R = 12

Step-by-step explanation:

1 + 12/R = 13

Answer:

5 hours lifeguarding and two hours babysitting.

Step-by-step explanation:

5(20) = 100

10(2) = 20

100 + 20 = 120

You see from the graph that when x = 0, y = 2 so the y-intercept is ( 0 , 2).

you are given points (-6 , 3) and (6 , 1). Find slope:

slope = change in y / change in x

slope = (3 - 1) / (-6 - 6)

slope = 2/-12

slope = -1/6

slope-intercept form: y = mx + b where m = slope and b = y intercept.

y = -1/6x + 2

Answer:

Step-by-step explanation:

if its asking how many people there are it would be 40,000

Mother, Father, 2 kids=4

4 x 10,000= 40,000

Equation that represents Jada’s take-home earnings in dollars E = 12.20(h)-7.15

The equation that represents the situation is h=6.82 hours.

An equation, a formula that is express the equality of two expressions. The equation is representing direct proportion is , by the commenting them with in the equal sign .

As per the given question

Pay hour = $12.20 per hour

Bus fare = $7.15

1.Equation:

Assume that

She has work for "h" hours

Total earning = E

So, E = 12.20(h) - 7.15

If, Total earning = E = $90.45

So, E = 12.20(h) - 7.15

90.45 = 12.20(h) - 7.15

h = 6.82 hours

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Answer:

there is a 25% increase from 24 to 30

Step-by-step explanation:

30-24/24 x 100

6/24x 100

0.25x100

25%

Answer:

[tex]\begin{align} \% \text{ Increase} &= \dfrac {\text{Final - Initial}}{\text{Initial}} \times 100 \\ \\ &= \dfrac {30 - 24}{24} \times 100 \\ \\ &= \dfrac {6}{24} \times 100 \\ \\ &= 0.25 \times 100 \\ \\ &= 25 \% \end{align} [/tex]

There is a 25 % increase from 24 to 30.

Together, Tony and Ted caught 78.29 pounds + 59.36 pounds = 137.65 pounds of fish when they went fishing.

Addition is a mathematical process that combines two or more numbers or units to form a sum. One of the four fundamental operations of mathematics, along with addition, subtraction, multiplication, and division, it is generally represented by the plus sign (+). The fundamental idea of addition is one that is taught to children at a young age and is utilized frequently in both mathematics and daily life. For instance, when shopping, one may tally up the costs of several goods to get the overall expense. In algebra, adding is used to solve problems and make statements simpler. Finding side lengths and shape areas are both important aspects of geometry. In general, adding is flexible. for example,Tony and ted went fishing. and we got to calculate the total fishes caught by them.

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