solve this system of equations using substitution, show your work (ANSWER QUICK PLEASE)

Check the picture below.

The functions f, g and f ◦ g are illustrations of relations and functions

If f and f ◦ g are onto, it does not necessarily follow that g is onto

The onto functions are given as:

Consider the functions f and g.

The function f is an onto function, if for every element of function f, there is at least one matching element  with function g.

The above definition implies that the following definition is not a condition for the two functions to be an onto function

If for every element of function g, there is at least one matching element  with function f.

Hence, it does not necessarily follow that function g is onto

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Answer:

10

Step-by-step explanation:

Using the formula

d=2r

Solving for r

r=d

2=10

2=5

Answer:

20

Step-by-step explanation:

I'm not too sure why 22 is there. Triangle = (bh) / 2

90 x 2 = 180. 180 / 9 = 20, therefore, base is 20.

Answer:

First, we must know the formula for the area of a triangle.

A = BH x 1/2

Where 'b' represents the base, and 'h' represents the height.

Multiplying by 1/2 basically means dividing the result of (base x height) by 2.

Now we plug in what we know, given the dimensions shown.

We know that the area is 90 square units.

We also know that the height is 9, so;

A = BH x 1/2

90 = B(9) x 1/2

Solve for B:-

90 = 9b(we reverse b9 because they both serve as the same thing) x 1/2

90 = 9b x 1/2

Dividing by 1/2 also means multiplying by 2, so we multiply 2 to both sides to get rid of 1/2;

*2         *2

180 = 9b

To isolate b(base) we divide by 9 from both sides because the inverse operation of multiplication is division.

÷ 9    ÷ 9

20 = b, our base is 20 square units.

Answer:

standard form:   y = x² - 2x - 8

vertex form:  y = (x − 1)² - 9

factorized form:  y = (x + 2)(x - 4)

Step-by-step explanation:

From inspection of the graph:

Standard quadratic form:   y = ax² + b x + c

Vertex form of a quadratic equation:   y = a(x − h)² + k

If a > 0 then the parabola opens upwards

If a < 0 then the parabola opens downwards

(h, k) is the vertex

c is the y-intercept

Inputting the vertex into the vertex form gives:

y = a(x − 1)² - 9

  = a(x² - 2x + 1) - 9

  = ax² - 2ax - 8

Using the x-intercepts to create a quadratic equation:

y = a(x + 2)(x - 4)

  = a(x² - 2x - 8)

  = ax² - 2ax - 8a

Comparing the y-intercepts:

-8 = -8a  ⇒  a = 1

Therefore,   y = x² - 2x - 8

Answer:

sin is something that we say, think, or do, that displeases God

Step-by-step explanation:

hoped this helped! :)

Answer:

A. 504

Step-by-step explanation:

on edge 2022

Answer:

A.

Step-by-step explanation:

EDG 2022

Answer

102.1

Step-by-step explanation:

area of the shaded region is the area of the the whole circle subtract area area of the unshaded minor segment.

Answer:

The smallest number by which 256 must be divided so that the quotient is a perfect cube is 4.

Step-by-step explanation:

Answer: 40.82

Step-by-step explanation: You have to multiply pi and 13 to get the answer

Answer:

3 feet by 7 feet

Step-by-step explanation:

perimeter = 20 feet

area = 21 feet²

If the desk is a rectangle:

perimeter = 2l + 2w = 2 (l+w) = 20

                                    2 (l+w) = 20 , divide both sides by 2

                                          l+w = 10

area = l · w = 21

What numbers we know that have sum as 10 and their product as 21?

l + w = 10

l · w = 21

factors of 21 are 1,3,7

3+7 = 10

3 ·7 = 21

The dimensions of the desk could be 3 feet by 7 feet.

The answer for this equation funtion would be The first one because it is the correct answer.

Answer:

Step-by-step explanation:

Thus, the best estimate for Sam to quote as expected profits in the next year in his new business plan is $66,933.60.

Net profit is the amount of a business earn after deducting all the expenditure over it.

Sam has been running his swimming pool cleaning business now for five years. He is considering enlarging his service area to a 100 mile radius, which would require two new offices in different parts of town.

He would like to take out a business loan to cover the cost of expansion. The profits for Sam's business over the last 5 years are outlined in the table below.

Using the regression graph, the quadratic equation we get for this data as,

[tex]y=192.4493x^2+3318.1733x+39998.214[/tex]

For the 6 year value,

[tex]y=192.4493(6)^2+3318.1733(6)+39998.214\\y\approx 66835.43[/tex]

This value is much near to the option b which is $66,933.60.

Thus, the best estimate for Sam to quote as expected profits in the next year in his new business plan is $66,933.60.

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Answer:

7.3 ft.

Step-by-step explanation:

The perimeter of a geometrical figure is calculated by adding all side lengths up:

The perimeter of the figure in question is 84.6 ft.

2*(3.4) + 2*(11.3) + 6*(6.8) + (7.1) + ? = 84.6 (it's easier if we write equal terms in multiplying form)

77,3 + ? = 84.6 subtract 77.3 from both sides

? = 7.3 is the length of the missing side

Answer:

B

C/15=3

Step-by-step explanation:

They devided the coconuts among 15 children

3x15 =45

45÷3 =15

So the number of coconut the kids gathered is 45

C/15=3 multiply by 15 on both side

15/1 ×c/15=3×15

C=3×15

C=45

Answer:

[tex]x^{2}[/tex] - 2x + 4

Step-by-step explanation:

The equation of the line in slope-intercept form and standard form that passes through the line are  y = -5 / 6x - 43 / 6 and  5x + 6y = -43 respectively.

The Slope intercept equation is use to represent a linear table or graph. Therefore, the formula is represented as follows

y = mx + b

where

m = slope

b = y-intercept

Hence,

(-5, -3)(1, -8)

m = -8 + 3 / 1 + 5 = - 5 / 6

Using (1, -8) let's find b

-8 = -5 / 6 (1) + b

-8 + 5 / 6 = b

-48 + 5/6 = b

b = -43 / 6

Therefore, the slope intercept equation is y = -5 / 6x - 43 / 6

The equation in standard form is represented as Ax + By = C. Therefore,

y + 5 / 6 x = - 43/6

5x + 6y = -43

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Function: y = 5 sin (2(x))+ 12

Find y-intercept:

y = 5 sin 2(0)+ 12

y = 12

​[tex]\sf Y\:Intercepts}:\:\left(0,\:12\right)[/tex]

→ Formula for maximum: M = A + |B|

Maximum:

12 + |5|

17

When y = 17

[tex]\rightarrow \sf 17 = 5 sin (2(x))+ 12[/tex]

[tex]\rightarrow \sf \sf 5 sin (2(x)) = 5[/tex]

[tex]\rightarrow \sf sin (2(x)) = 1[/tex]

[tex]\rightarrow \sf 2x = sin^{-1}(1)[/tex]

[tex]\rightarrow \sf 2x = 90^{\circ \:}, \ \ 450^{\circ \:}[/tex]

[tex]\rightarrow \sf x = 45^{\circ \:}, \ \ 225^{\circ \:}[/tex]

maximum: ( 45° , 17 ), (225° , 17), .....

==========================================================

→  Formula for minimum: m = A ‐ |B|

Minimum:

12 - |5|

7

When y = 7

[tex]\rightarrow \sf 7 = 5 sin (2(x))+ 12[/tex]

[tex]\rightarrow \sf 5 sin (2(x)) = -5[/tex]

[tex]\rightarrow \sf 2(x) = sin^{-1}(-1)[/tex]

[tex]\rightarrow \sf x = -45^{\circ \:} , \ \ 135^{\circ \:}[/tex]

minimum: ( -45°,7), (135°, 7), .....

Repeat the same process for finding more values on the x-axis, or just follow the trend of the curve from the points found and sketch the graph easily.

[tex]\sf Domain\:\left(-\infty \: < x < \infty )[/tex]

[tex]\sf Range : 7\le \:f\left(x\right)\le \:17[/tex]

Sketched below:

Answer:

x=-9

y=4

Step-by-step explanation:

x + 3y = 3

x - 5y = -29

Multiply the second equation by -1

-x + 5y = 29

Add the two equations together to eliminate x

x + 3y = 3

-x + 5y = 29

---------------------

0x +8y = 32

Divide each side by 8

8y/8 = 32/8

y = 4

Now solve for x

x+3y =3

x+3(4) = 3

x+12 = 3

Subtract 12 from each side

x+12-12 = 3-12

x = -9

Answer:

x = 10.8

Explanation:

[tex]\sf \sf cos(x)= \dfrac{adjacent}{hypotensue}[/tex]

using cosine rule:

[tex]\rightarrow \sf cos(26)= \dfrac{x}{12}[/tex]

[tex]\rightarrow \sf x = cos(26) *12[/tex]

[tex]\rightarrow \sf x =10.8[/tex]

Answer:

The answer is rounded 10.8

Step-by-step explanation:

Cosine is the adjacent side over the hypotenuse, or a/h. So, cos 26=x/12. To solve for x, isolation of the variable is necessary. If both sides are multiplied by 12, the equation becomes 12 (cos 26)=x. The cosine of 26 is 0.8988, which multiplied by 12 is 10.8.

Hope this helps!

Answer: 74.61 ft^3

Step-by-step explanation:

Answer:

Multiply the numbers then Add on both sides then simplify

Step-by-step explanation:

Answer:

60t = y

t; time in hours

60: Speed of the spy fleeing

y: how far he has gone in t hours

Hope this helps!

Please rate and mark brainliest!!

Have a great day!!

Answer:

240 Minutes

Step-by-step explanation:

0.6 per minute × 2 = 1.2 gallons .

120 balloons × 2 mins= 240 mins

Answer:

○ [tex]\displaystyle \pi[/tex]

Step-by-step explanation:

[tex]\displaystyle \boxed{y = 3sin\:(2x + \frac{\pi}{2})} \\ y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 0 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{-\frac{\pi}{4}} \hookrightarrow \frac{-\frac{\pi}{2}}{2} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{\pi} \hookrightarrow \frac{2}{2}\pi \\ Amplitude \hookrightarrow 3[/tex]

OR

[tex]\displaystyle \boxed{y = 3cos\:2x} \\ y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 0 \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{\pi} \hookrightarrow \frac{2}{2}\pi \\ Amplitude \hookrightarrow 3[/tex]

You will need the above information to help you interpret the graph. First off, keep in mind that although this looks EXACTLY like the cosine graph, if you plan on writing your equation as a function of sine, then there WILL be a horisontal shift, meaning that a C-term will be involved. As you can see, the photograph on the right displays the trigonometric graph of [tex]\displaystyle y = 3sin\:2x,[/tex]in which you need to replase "cosine" with "sine", then figure out the appropriate C-term that will make the graph horisontally shift and map onto the sine graph [photograph on the left], accourding to the horisontal shift formula above. Also keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must be careful with your calculations. So, between the two photographs, we can tell that the sine graph [photograph on the right] is shifted [tex]\displaystyle \frac{\pi}{4}\:unit[/tex]to the right, which means that in order to match the cosine graph [photograph on the left], we need to shift the graph BACKWARD [tex]\displaystyle \frac{\pi}{4}\:unit,[/tex]which means the C-term will be negative, and by perfourming your calculations, you will arrive at [tex]\displaystyle \boxed{-\frac{\pi}{4}} = \frac{-\frac{\pi}{2}}{2}.[/tex]So, the sine graph of the cosine graph, accourding to the horisontal shift, is [tex]\displaystyle y = 3sin\:(2x + \frac{\pi}{2}).[/tex]Now, with all that being said, in this case, sinse you ONLY have a graph to wourk with, you MUST figure the period out by using wavelengths. So, looking at where the graph WILL hit [tex]\displaystyle [-1\frac{3}{4}\pi, 0],[/tex]from there to [tex]\displaystyle [-\frac{3}{4}\pi, 0],[/tex]they are obviously [tex]\displaystyle \pi\:units[/tex]apart, telling you that the period of the graph is [tex]\displaystyle \pi.[/tex]Now, the amplitude is obvious to figure out because it is the A-term, but of cource, if you want to be certain it is the amplitude, look at the graph to see how low and high each crest extends beyond the midline. The midline is the centre of your graph, also known as the vertical shift, which in this case the centre is at [tex]\displaystyle y = 0,[/tex]in which each crest is extended three units beyond the midline, hence, your amplitude. So, no matter how far the graph shifts vertically, the midline will ALWAYS follow.

I am delighted to assist you at any time.

Answer:

[tex]\pi[/tex]

Step-by-step explanation:

The trigonometric function shown on the graph is a continuous function, and so its period is the length of one wave of the function (i.e. the horizontal distance between a peak and the next peak, or a trough and the next trough).

From inspection of the graph, the horizontal distance between one peak and the next of the given function is [tex]\pi[/tex].  

Therefore, the period of this trigonometric function is [tex]\pi[/tex]

Answer:

Here is the answer

Step-by-step explanation:

4^4/(6^6)

Answer: h + 97 = 240

Step-by-step explanation:

Total hours worked per year: 240 hours

Current hours worked so far: 97 hours.

The variable h represents hours

Therefore, h + 97 = 240

Answer:

5.5 hours

Step-by-step explanation:

dibide by 2 one is 5 and one is 6, middle. is 5.5,

Answer:

The answer is 24

just multiply 6 and 4 together

Answer:

y=ax, y»a

Step-by-step explanation:

that means that gradually the lines going up instead of going down and the step by step function will give you two set of points in the graph that will be your your center point