The Red Shell's flight path is modeled by the equation:
y = -2x2 + 60x + 350
a) Factor the equation below:
olutions to the equation?

Answers

Answer 1

Answer:

Geometric figure: Straight Line

Slope = 120.000/2.000 = 60.000

x-intercept = 346/-60 = 173/-30 = -5.76667

y-intercept = 346/1 = 346.00000

Step-by-step explanation:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

y-(-4+60*x+350)=0

STEP

1

:

Equation of a Straight Line

1.1 Solve y-60x-346 = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line y-60x-346 = 0 and calculate its properties

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 346/1 so this line "cuts" the y axis at y=346.00000

y-intercept = 346/1 = 346.00000

Calculate the X-Intercept :

When y = 0 the value of x is 173/-30 Our line therefore "cuts" the x axis at x=-5.76667

x-intercept = 346/-60 = 173/-30 = -5.76667

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 346.000 and for x=2.000, the value of y is 466.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 466.000 - 346.000 = 120.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

Slope = 120.000/2.000 = 60.000

Geometric figure: Straight Line

Slope = 120.000/2.000 = 60.000

x-intercept = 346/-60 = 173/-30 = -5.76667

y-intercept = 346/1 = 346.00000


Related Questions

у = 3х – 8
(6х + Зу = -9

Answers

y = 3x - 8 ---- i

6x + 3y = -9

=>6x +3 (3x-8) = -9 (substituting y= 3x-8)

=> 6x + 9x - 24 = -9

=> 15x = 24 -9

=> 15x = 15

=> [tex]\red{\bold{\large{ x= 1}}}[/tex]

Now substituting x = 1 in equation i,

y = 3 × 1 -8

=> y = 3 -8

=> [tex]\red{\bold{\large{ y= -5}}}[/tex]


PLEASE HELP!!! ILL GIVE BRANLIEST *EXTRA POINTS* dont skip :((

Answers

Answer:

1/8, 1/4, 1/5,....

Step-by-step explanation:

Because:

1/8= 0.125

1/4= 0.25

1/5= 0.2

Terminating decimal mean decimal that have finite number of digits after the decimal point.

Hope you understand.

A home decor store donated a percent of every sale to hospitals. The total sales were ​$8,300 so they store donated "​$322." What percent of ​$8,300 was donated to hospitals​?

Answers

Answer:

I believe they donated 4% to the hospitals

Write a sine function that has a midline of 5, an amplitude of 3 and a period of 5/4

Answers

Answer:

[tex]\displaystyle y = 3sin\:1\frac{3}{5}\pi{x} + 5[/tex]

Step-by-step explanation:

[tex]\displaystyle \boxed{y = 3cos\:(1\frac{3}{5}\pi{x} - \frac{\pi}{2}) + 5} \\ \\ 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 5 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{\frac{5}{16}} \hookrightarrow \frac{\frac{\pi}{2}}{1\frac{3}{5}\pi} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{1\frac{1}{4}} \hookrightarrow \frac{2}{1\frac{3}{5}\pi}\pi \\ Amplitude \hookrightarrow 3[/tex]

OR

[tex]\displaystyle 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 0 \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{1\frac{1}{4}} \hookrightarrow \frac{2}{1\frac{3}{5}\pi}\pi \\ Amplitude \hookrightarrow 3[/tex]

From the above information, you should now have an ideya of how to interpret trigonometric equations like this.

I am delighted to assist you at any time.

Help math math ASAP please

Answers

Answe is B

Step-by-step explanation:

because if you Measured the line with the Graph it wont combine together

Which graph represents a line with a slope of and a y-intercept equal to that of the line y = x – 2?

Answers

Answer:

The last graph at the bottom.

Step-by-step explanation:

Answer:

the very last one btw.

Step-by-step explanation:

Solve for m:
m/4.2 =7

please show me the steps

Answers

[tex]\frac{m}{4.2} =7\\m = 4.2 * 7 = 29.4[/tex]

Hope that helps!

Answer:

m = 29.4

Step-by-step explanation:

[tex]\frac{m}{4.2}=7[/tex]

[tex]\mathrm{Multiply\:both\:sides\:by\:}4.2[/tex]

[tex]\frac{4.2m}{4.2}=7\cdot \:4.2[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]m=29.4[/tex]

Check Answer;

[tex]\frac{29.4}{4.2}[/tex]

[tex]\mathrm{Multiply\:the\:numerator\:and\:denominator\:by:}\:10[/tex]

[tex]\frac{294}{42}[/tex]

[tex]\mathrm{Write\:the\:problem\:in\:long\:division\:format}[/tex]

[tex]42\overline{|\smallspace294}[/tex]

[tex]\begin{matrix}\:\:\:\:\:\:\:\:\:\:\emptyspace7\:\:\:\:\:\:\:\:\:\:\:\:\\ 42\overline{|\smallspace294}\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\underline{\emptyspace2\emptyspace9\emptyspace4}\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\:\:\emptyspace0\:\:\:\:\:\:\:\:\:\:\:\:\end{matrix}[/tex]

Hence, m = 29.4

~learn with Lenvy~

NO LINKS!! Please help me​

Answers

Answer:

A

Step-by-step explanation:

Since cosine is positive and sine is negative that puts θ in Quad IV.

From right triangles we know:

Cos θ = adjacent/hypotenuse = 5/13

sin θ = opposite/hypotenuse = ?/13

To find the opposite side across from θ use the pythagorean theorem.

5² + y² = 13²

25 + y² = 169

y² = 144

y = 12

we are given  that sin is < 0 so sinθ = -12/13

Answer:

A

Step-by-step explanation:

[tex]\cos(\theta)=\dfrac{\textsf{adjacent side}}{\textsf{hypotenuse}}=\dfrac{5}{13}[/tex]

[tex]\textsf{As }\cos(\theta) > 0 \textsf{ the angle is in quadrant I or IV}[/tex]

Using Pythagoras' Theorem a² + b² = c² to find the side opposite the angle:

⇒ 5² + b² = 13²

⇒ b² = 144

⇒ b = 12

⇒ opposite side = 12

[tex]\implies \sin(\theta)=\dfrac{\textsf{opposite side}}{\textsf{hypotenuse}}=\dfrac{12}{13}[/tex]

[tex]\textsf{As }\sin(\theta) < 0 \textsf{ then }\sin(\theta)=-\dfrac{12}{13} \textsf{ and the angle is in either quadrant III or quadrant IV}[/tex]

Therefore, the common quadrant is quadrant IV and

[tex]\sin(\theta)=-\dfrac{12}{13}[/tex]

Joyce paid $110.00 for an item at the store that was 50 percent off the original price. What was the original price?

Answers

Answer:

The orginal price for the item was $220.0

Answer:

240

Step-by-step explanation:

8 manzanas cuestan 48 pesos y en el mini super cuestan 37 donde es mas barato ?

Answers

I’m just writing this so i get more point to ask a question and sorry i can’t read that

To put a fraction in simplest form, what do you do to the numerator and
denominator?
add the same
number to both
divide both by the
same number
subtract both by
same number
multiply both by
the same number
HELP FAST PLS

Answers

Answer:

It's multiply both by thesame number

Step-by-step explanation:

For example:

If we want to change this fraction to a simplest form:

5/25

We simply multiply both sides by 5,which will give us:

5/5

And if you want simplify it further, the answer will be 1

Thanks.

Which lines or segments are parallel? Justify your answer.

Answers

Answer:

CA || HR

CM || HA

Step-by-step explanation:

the triangles are the same

• Line CM & line HA are parallel
• Line CA & line HR are parallel

Can someone help me with this question please!!!!!

Answers

Solution:

We know that:

Interior angles of a triangle sum up to 180°.[tex]3a + 7u + 9 = 180\°[/tex]

This means that:

[tex](7u + 9) + (2a - 3) + 32 = 3a + 7u + 9[/tex]

Let's simplify the equation to find a.

Step-by step calculations:

Open the brackets:

[tex](7u + 9) + (2a - 3) + 32 = 3a + 7u + 9[/tex][tex]7u + 9 + 2a - 3 + 32 = 3a + 7u + 9[/tex]

Cancel same terms on both sides:

[tex]7u + 9 + 2a - 3 + 32 = 3a + 7u + 9[/tex][tex]2a - 3 + 32 = 3a[/tex]

Simplify the LHS:

[tex]2a + 29 = 3a[/tex]

Subtract 2a both sides:

[tex]2a - 2a + 29 = 3a - 2a[/tex]=> [tex]29 = 3a - 2a[/tex]

Simplify the RHS and change the sides:

=> [tex]\bold{a = 29}[/tex]

Let's substitute the value of a in 3a + 7u + 9 = 180° to find u.

[tex]3a + 7u + 9 = 180\°[/tex]=> [tex]3(29) + 7u + 9 = 180\°[/tex]

Simplify the LHS:

=> [tex]87 + 9 + 7u = 180[/tex]=> [tex]96 + 7u = 180[/tex]

Subtract 96 both sides:

=> [tex]96 - 96 + 7u = 180 - 96[/tex]=> [tex]7u = 84[/tex]

Divide 7 both sides:

=> [tex]\frac{7u}{7} = \frac{84}{7}[/tex]=> [tex]\bold{u = 12}[/tex]

If 1 yard = 3 feet and 1 mile = 5,280 feet, how many yards are there in 5 miles?

79,200 yards
26,400 yards
8,800 yards
352 yards

Answers

The answer is 8,800

Zendaya needed to get her computer fixed. She took it to the repair store. The technician at the store worked on the computer for 4.25 hours and charged her $59 for parts. The total was $377.75. What was the cost of labor, per hour?

Answers

This is oddly the funniest question I've seen so far. But never fear, I guess I'm here? :\

Honestly, I'm kinda lost but your answer should be $88.88. Even though it would say $88.88 multiplied by total hours, which is 4 hours and 25 minutes is $377.74, that answer is determined by a thousandth of a number. If you want it the other way, it's 88.8824.

Definitely hope this helped. [Pretty much, the answer is $88.88.]

The cost of labor per hour is $75.

It is required to find the cost of labor per hour.

What is arithmetic?

Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.

Given:

The total amount that the technician charged her is the sum of the cost for the total hours worked and the costs of the parts.

Total charge = cost of total hours worked + cost of parts

$377.75 = $59 +  cost of total hours worked

Cost of total hours worked = $377.75 - $59

Cost of total hours worked = $318.75

In order to determine the cost per hour of labor, divide the total cost of total hours worked by the hours worked.

$318.75 / 4.25 = $75.

Therefore, the cost of labor per hour is $75.

Learn more details about arithmetic here:

https://brainly.com/question/11559160

#SPJ2

The variables y and x have a proportiurial relationship, and y = 28 when x = 21.
What is the value of x when y = 42?

x= 14
x = 18 2/3
x= 31 1/2
x=56

Answers

Answer:

x = 31 1/2

Step-by-step explanation:

If y = 42, that means the original y = 28 was multiplied by 1.5, so we have to multiply x = 21 by 1.5 to find the answer.

21 * 1.5 = 31.5 A.K.A 31 1/2

18x² +15x-12 factor​

Answers

GCF is first so
3(6x^2+5x-4)
Do the X method
-24 (top of the X)
5 (bottom of X)
-3 (right side of X)
5 (left side of X)
6x^2-3x+5x-4
Take the first 2 numbers and solve
6x^2-3x
3x(2x-1)
And then take the next 2 numbers
5x+4 you cant do anything here so it stays the same
Just add them all together and you get ur answer

(-3)*(2a+b)-4(b+a) help plez

Answers

Answer:

-10a - 7b

Step-by-step explanation:

Solving

[tex](-3)(2a)+(-3)(b)+(-4)(b)+(-4)(a)[/tex] [tex]-6a-3b-4b-4a[/tex] [tex](-6a-4a)+(-3b-4b)[/tex] [tex]-10a-7b[/tex]

Have a lovely rest of your day/night, and good luck with your assignments! ♡

4。
7.28
-4.9_
Find the difference

Answers

Answer: 119/50 in decimal form 2.38000

Step-by-step explanation: 4.9 can be made to 49/10

 Find the Least Common Multiple

     The left denominator is :       25  

     The right denominator is :       10

Least Common Multiple:

     50

Which of the following shapes contain perpendicular line segments?

Answers

Answer:

y

Step-by-step explanation:

I know because I am smart

Answer:

The answer is Y

Step-by-step explanation:

A square is a perpendicular line segment

A boat sails 6km from a point x on a bearing of 065 and thereafter 13km on a bearing of 136, what is the distance and of the boat from x?​

Answers

Answer:

0650 + 500 = 1150

Step-by-step explanation:

You will need to represent the question on a triangle.

You will actually need a ruler and pencil for drawing along with a good eraser in case you make mistake.

Take your pencil and draw a point X, take ruler and rule a straight line to another point Y and rule another straight line to point Z and finally close it up at point X again.

hi please help im giving full points and brainliest:) Let y = 2(x – 3)2 – 6.

Part A: Is the given relation a function? Is it one-to-one? Explain completely. If it is not one-to-one, determine a possible restriction on the domain such that the relation is one-to-one. (5 points)

Part B: Determine y–1. Show all necessary calculations. (5 points)

Part C: Prove algebraically that y and y–1 are inverse functions. (5 points)

Answers

Answer/Step-by-step explanation:

Part A:

Yes, the given relation is a function

No, the given is not one-to-one.

The given relation is a function: True

The given one-to-one function: False

For the domain (3, + ∝) or the domain (- ∝,3)

the relation is one-to-one.

Part B:

[tex]y=2(x-3)^2-6[/tex]

[tex]y+6=2(x-3)[/tex]

[tex](x-2)^1=\frac{y}{2}+3[/tex]

[tex]x-2=[/tex] ±[tex]\sqrt{\frac{y}{2}+3}[/tex]

[tex]x=[/tex] ± [tex]\sqrt{\frac{y}{2}+2+2}[/tex]

So, [tex]y^-^1=[/tex] ± [tex]\sqrt{\frac{x}{2}+3}+3[/tex]

Part C:

[tex]y(y^-^1)=2([/tex]±[tex]\sqrt{\frac{x}{1}+3+3-3)^2-6}[/tex]

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

[tex]x+6-6=x[/tex]

So y and y^-^1 are inverse function.

[RevyBreeze]

Help please thanks in advance

Answers

You didn’t put any question or picture here its useless

can someone pls help me

Answers

Answer: 2 cups per recipe

Step-by-step explanation:

if you look at the first point on the slope, it’s (1,2). Meaning that every recipe uses 2 cups of sugar

Answer:

I think that the answer is C because if you look on the graph, it shows every 2 cups of sugar she has a recipe

Okie help help math math math

Answers

Answer:

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

Step-by-step explanation:

First, find the rate of change of the line:

[tex]\displaystyle \frac{-y_1 + y_2}{-x_1 + x_2} = m \\ \\ \frac{-6 + 3}{-1 + 2} = m \hookrightarrow \frac{-3}{1} = m \\ \\ \boxed{-3 = m}[/tex]

_______________________________________________

Now plug all the information into the Slope-Intercept Formula. It does not matter which ordered pair is chosen:

[tex]\displaystyle 3 = -3[2] + b \hookrightarrow 3 = -6 + b; 9 = b \\ \\ \boxed{\boxed{y = -3x + 9}} \\ \\ OR \\ \\ 6 = -3[1] + b \hookrightarrow 6 = -3 + b; 9 = b \\ \\ \boxed{\boxed{y = -3x + 9}}[/tex]

I am joyous to assist you at any time.

What is y when x = 40?








about 120


about 150


about 190


about 210

Answers

Answer:

About 190

Step-by-step explanation:

Hope that helps!

Answer:

Step-by-step explanation:

I took the quiz :)

what is the next terms in
the sequence :5;9;13;17​

Answers

Answer:

21,25,29,33

Step-by-step explanation:

Answer:

21;25;29;33;37

Step-by-step explanation:

its a sequence of adding 4

Mr Green gave each of the 12 students in his math group 14 cubes.What is the total number of cubes that Mr.Green gave to his math group?use area model to show how you found the answer​

Answers

Answer:

Step-by-step explanation:

plication expressions for

Answers

Answer:

What Is Gastric Plication? Laparoscopic gastric plication is a newer minimally invasive weight-loss surgery technique that reduces the size of the stomach capacity to approximately 3 ounces. The procedure does not involve the use of an implanted device (such as gastric banding).

Help yalll a b d or c

Answers

Answer:

persent i think

Step-by-step explanation:

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