Find the y-intercept of the line on the graph.

Find The Y-intercept Of The Line On The Graph.

Answers

Answer 1

Answer:

-2

Step-by-step explanation:

The y intercept is where the line crosses the y axis.  It crosses at the point (0,-2)


Related Questions

I need help on this one! Please and thank you!

Answers

Given:

[tex]\cos \theta\text{ =- }\frac{1}{8}[/tex]

Solving for the angle measure:

[tex]\begin{gathered} \theta\text{ = }\cos ^{-1}(-\frac{1}{8}) \\ =\text{ }97.181 \end{gathered}[/tex]

Hence, we can find the exact value of sin theta:

[tex]\begin{gathered} But\text{ }\theta\text{ is in the third quadrant.} \\ \sin (97.181\text{ -180) = sin(-82.8190}) \\ =\text{ -0.992} \end{gathered}[/tex]

Hence, the exact value of sin theta is -0.992

-0.922 is ur answer! x

Identify the values of a, b, and c that could be used with the quadratic formula to solve the equation. Enter a as a positive integer value. x^2=4(x-9)

Answers

Given the following equation:

[tex]x^2=4(x-9)[/tex]

First of all, we note that the quadratic equation is written in the general form shown below;

[tex]ax^2+bx+c=0[/tex]

We shall now attempt to re-write the equation given in the form shown above. This is shown as follows;

[tex]\begin{gathered} x^2=4(x-9)_{} \\ We\text{ shall now expand the parenthesis;} \\ x^2=4x-36 \\ We\text{ shall now collect all like terms;} \\ \text{Subtract 4x and add 36 to both sides to both sides} \end{gathered}[/tex][tex]\begin{gathered} x^2-4x+36=4x-4x-36+36 \\ x^2-4x+36=0 \end{gathered}[/tex]

We now have our quadratic equation as shown above.

Comparing this with the general form of a quadratic equation, we can now identify a, b and c as follows;

[tex]\begin{gathered} a=1 \\ b=-4 \\ c=36 \end{gathered}[/tex]

ANSWER:

a = 1

b = -4 and

c = 36

The distance from Earth to the sun is about 9.3 × 107 miles. The distance from Jupiter to the sun is about 4.84 × 108 miles. How much closer is the Earth to the sun than Jupiter to the sun?

Answers

The earth is 3.91×10^8 miles closer to the sun than jupiter

What is distance?

Distance is the space or gap between two points or bodies. It is a scalar quantity and measured in cm, m, km, miles e.t.c

The distance between the earth and the is 9.3×10^7 miles and the distance of Jupiter from the sun is 4.84×10^8 . This shows that the earth is closer to sun than Jupiter.

The dimension of how closer the earth is to the sun than Jupiter is therefore

( 4.84×10^8)-(9.3×10^7)= 3.91×10^8 miles

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The ratio of 8 books to 20 books isA) 2:5B) 5:2C) 4:5D) 5:4

Answers

the ratio of 8 books to 20 books is:

[tex]8\colon20[/tex]

now we can divide by the same number so:

[tex]\begin{gathered} \frac{8}{2}\colon\frac{20}{2} \\ \frac{4}{2}\colon\frac{10}{2} \\ 2\colon5 \end{gathered}[/tex]

SO is option A)

How much money should you invest at 5.3% annual simple interest rate to have $7200 in 9 months?

Answers

Answer:

181 132$

Step-by-step explanation:

Co - initial capital
I - interest
r - 5.3% annual simple interest
t - time

I = Co * r * t
7200 =  Co * 0.053 * 9/12
Co = 181 132$

Factor f(x) = 4x² - 576 = 0

Answers

4x^2 - 576 = (2x - 24)(2x + 24)

Because of conjugated binomials

(a + b)(a - b) = a^2 - b^2

2x is the square root of 4x^2

24 is the square root of 576

answer:

(2x - 24)(2x + 24)

can you help me to answer 2736×2

Answers

Answer

[tex]\begin{gathered} 2\text{ 7 3 6} \\ \times\text{ 2} \\ =5\text{ 4 7 2} \end{gathered}[/tex]

2 7 3 6

x 2

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

5

Shen runs each lap in 4 minutes. He will run at least 48 minutes today. What are the possible numbers of laps he will run today?Use n for the number of laps he will run today.Write your answer as an inequality solved for n.

Answers

Explanation

From the statement, we know that:

0. Shen runs each lap in 4 minutes,

,

1. he will run ,at least, 48 minutes today ⇒ t ≥ 48 min.

(1) From point 1, we know that Shen's speed is:

[tex]s=\frac{1\text{ lap}}{4\text{ min}}=\frac{1}{4}\cdot\frac{\text{lap}}{\text{min}}.[/tex]

(2) The speed (s) times the time (t), we get the # of laps (n):

[tex]n=s\cdot t\ge\frac{1}{4}\cdot\frac{\text{laps}}{\text{min}}\cdot48\text{ min}=\frac{48}{4}\text{ laps}=12\text{ laps}\Rightarrow n\ge12\text{ laps.}[/tex]Answer

n ≥ 12

Is the following relation a function? Justify your answer.
y
X
6
-1.
4
2
-1
3
O No, because there is an input value with more than one output value
O No, because there is an output value with more than one input value
Yes, because each input value has only one output value
Yes, because each output value has only one input value

Answers

No, because there is an input values with more than one output value is the following relation a function.

Based on the given function is,

x             y

6            2

-1            -1

4             3

What is the Function :

A function is defined as a relation between a set of inputs having one output each. In simple words, a function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input.

In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.

So,

We can write,

One input value has more than output values.

In this function we have,

-1 is mapped to both -2 and -1

In this case,

-1 input value is mapped to both output values of -2 and -1.

Therefore,

No, because there is an input values with more than one output value is the following relation a function.

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Определите количество сторон правильного многоуголь
ника, если угол, смежный с углом многоугольника, составляет 2/3 угла многоугольника

Answers

Answer:

n=6

Step-by-step explanation:

Угол многоугольника  2х, смежного угла  х.

2х+х=180.

3х=180.

х=60° .

Углы многоугольника  120°.

Формула углов правильного многоугольника.

аₙ=(n-2)/n * 180.

120=(n-2)/n *180.  после преобразования

3(n-2)=2n.

n=6.

Answer: n=6.

Step-by-step explanation:

Instructions: Identify the type of sequence and write the explicit rule.

Answers

SOLUTION:

Case: Sequences

Method:

3, 12, 48, 192,...

Step1:

The sequence is increasing exponentially

Type: Geometric/Exponential Sequence

Step 2:

The Explicit rule is gotten from the formula:

[tex]a_n=ar^{n-1}[/tex]

a= 3,

r= (12/3)

r= 4.

The rule, therefore:

[tex]a_n=3(4)^{n-1}[/tex]

Final answer:

Type: Geometric sequence

Explicit rule

[tex]a_n=3(4)^{n-1}[/tex]


(2x^3+13x^2+16x+5)÷(x^2+9x+5)

Answers

The answer will be (x-1). (2x-1). The polynomial equation P(x) = 0 has roots, or solutions, that may be found by setting each factor to 0 and figuring out what x is. Factor the polynomial equation to find the solution. Set each variable to 0. x - 6 = 0 or x + 1 = 0 or 2x4 = 0

Finding polynomial roots (zeroes) is the focus of this solution.

What is quadratic equations?

Due to the fact that the variable is squared, the word "quadratic," which means "square," was coined (like x2).

Any quadratic problem can be solved using the quadratic formula. The equation is first changed to have the form ax2+bx+c=0, where a, b, and c are coefficients. After that, we enter these coefficients into the following formula: (-b(b2-4ac))/(2a). See examples of how to solve different equations using the formula.

f(x) = ax2 + bx + c, where a, b, and c are numbers and an is not equal to zero, is a quadratic function. A parabola is the shape of a quadratic function's graph.

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On the first day a man did 3/8 of a job on the next day he completed another 2/5of the job what fraction the job was left undone?

Answers

Step-by-step explanation:

3/8+2/5

L.C.M=40

15+16/40=31/40

1/1-31/40

40-31/40

9/40

in the rhombus shown below AC and BD are 6 and 4in respectively determine the area of the figure in square inches

Answers

The area of a rhombus is computed as follows:

A = p*q*1/2

where p and q are the diagonals of the rhombus.

In this case:

A = AC*BD*1/2

A = 6*4*1/2

A = 12 square inches

fractions and geometry studying for a win test workeys

Answers

Given that the pharmacist can fill 250 prescriptions in 40 hours.

Consider the following,

[tex]\begin{gathered} 1\text{ hour}=60\text{ minutes} \\ 40\text{ hour}=40\times60=2400\text{ minutes} \end{gathered}[/tex]

So it can be understood that the pharmacist can fill 250 prescriptions in 2400 minutes.

Then the time taken to fill 1 prescription is calculated as,

[tex]\begin{gathered} 250\text{ prescriptions}\equiv2400\text{ minutes} \\ \Rightarrow1\text{ prescription}\equiv\frac{2400}{250}=9.6\text{ minutes} \end{gathered}[/tex]

Thus, it will take 9.6 minutes to fill 1 prescription.

Therefore, option (E) is the correct choice.

Sort the sequences into categories. Determine which sequences are arithmetic and which are geometric. Drag each label to the correct location on the table. Each label can be used more than once. Arithmetic Sequence Geometric Sequence (90, 87, 84, 81, 78, ...) (4, 12, 36, 108, 324, ...) (8,1,1/8,1/64,1/512,...) (3, 10, 17, 24, 31,...) (1,1.4,1.8, 2.2, 2.6, ...) (3,1.5, 0.75, 0.375,...)

Answers

Given the sequences we are asked to identify whether they are geometric or arithmeti. This can be seen below.

Explanation

For an arithmetic sequence

[tex]T_2-T_1=T_3-T_2^[/tex]

For a geometric sequence

[tex]\frac{T_2}{T_1}=\frac{T_3}{T_2}[/tex]

Therefore;

Answer:

[tex]\begin{gathered} Arithmetic\text{ sequence}\Rightarrow90,87,84,81,78,.. \\ Geometric\text{ sequence}\Rightarrow4,12,36,108,324,... \\ Geometric\text{ sequence}\Rightarrow8,1,1/8,1/64,1/512,... \\ Arithmetic\text{ sequence}\Rightarrow3,10,17,24,31..... \\ Arithmetic\text{ sequence}\Rightarrow1,1.4,1.8,2.2,2.6.... \\ Geometric\text{ sequence}\Rightarrow3,1.5,0.75,0.375,... \end{gathered}[/tex]

'g & & eggs 1 10 15 2015-2016 time {uash. bpeed (m/sec) The graph represents the elapsed time for running with connected speed schedules for two different racers. As the speed increases what happens to the elapsed time for racer B? * 6 Points) Enter your answer

Answers

The relationship between the speed and the elapsed time is a negative relationship. That means as the speed increases, the time elapsed decreases. Thats why the line goes downward from left to right.

For racer B, as the speed increases, the time elapsed decreases at a rate lesser than that of racer A.

The value of y is directly proportional to the value of x.If y=12 when x=9, what is the value of x when y=80

Answers

Step 1:

Write the formula connecting y and x.

[tex]\begin{gathered} y\text{ }\propto\text{ x} \\ y\text{ = kx} \\ k\text{ = }\frac{y}{x} \end{gathered}[/tex]

Step 2:

Find the value of k when y = 12 and x = 9

[tex]\begin{gathered} k\text{ = }\frac{y}{x}\text{ = }\frac{12}{9}\text{ = }\frac{4}{3} \\ \text{Therefore} \\ y\text{ = }\frac{4}{3}x \end{gathered}[/tex]

Step 3

You can find x when y = 80.

[tex]\begin{gathered} \text{Frpm y = }\frac{4}{3} \\ \text{When y = 80} \\ 80\text{ = }\frac{4x}{3} \\ \text{Cross multiply} \\ 4x\text{ = 80}\times3 \\ 4x\text{ = 240 Divide both sides of the equation by 4} \\ x\text{ = }\frac{240}{4} \\ x\text{ = 60} \end{gathered}[/tex]

Final answer

x = 60

In the year 2003, a person bought a new car for $12500. For each consecutive year after that, the value of the car depreciated by 7%. How much would the car be worth in the year 2005, to the nearest hundred dollars?

Answers

Answer + Explanation:

13500x0.07 = 945

945 x 2  = 1890

13500 - 1890 = 11610

To the nearest hundred dollars: 11,600

ANSWER: 11,600

Determine which integer will make the inequality 20 > 4x + 16 true.

Answers

Answer:

-1

Step-by-step explanation:

That's my best shot.

The table shows the cost of shampoo at a discount store Cost $ 2.95 $4.50 $6.05 Number of bottles 1 2 3is the cost of the shampoo bottles proportional to the amount of bottles ?

Answers

Answer:

Not proportional

Explanation:

First, we determine the unit rate for each of the pairs of points.

[tex]\begin{gathered} UnitRate=\frac{\text{Cost}}{\text{Number of bottles}} \\ \frac{2.95}{1}=\$2.95\text{ per bottle} \\ \frac{4.50}{2}=\$2.25\text{ per bottle} \\ \frac{6.05}{3}=\$2.02\text{ per bottle} \end{gathered}[/tex]

We see that the unit rates are not the same.

Therefore, the cost of the shampoo bottles IS NOT proportional to the number of bottles

Find the value of x in the triangle shown below.227ASCAssChoose 1 answer:MY= 45Col= 9MY= 5ProProD2 = 53Tea

Answers

The given triangle is a right triangle as shown by the square symbol inside. With this, we can solve the length "x" of this triangle using the Pythagorean Theorem.

[tex]c^2=a^2+b^2[/tex]

where c = length of the hypotenuse and "a" and "b" are any of the remaining sides.

In our triangle, we have 7 as our hypotenuse and 2 as the length of the one side. Let's apply these values in the formula above.

[tex]\begin{gathered} 7^2=2^2+b^2 \\ 49=4+b^2 \\ 49-4=4+b^2-4 \\ 45=b^2 \\ \sqrt[]{45}=\sqrt[]{b^2} \\ \sqrt[]{45}=b \\ 3\sqrt[]{5}=b \end{gathered}[/tex]

Therefore, the value of x is √45.

18) Find the greatest common factor (GCF) for list of terms: 10x3y5, -15x4y8, 20x5y6

Answers

10x3y5,

-15x4y8,

20x5y6​

[tex]undefined[/tex]

greatest common factor of 10, 15, and 20 is 5

greatest common factor of x^3, x^4 and x^5 is x^3

greatest common factor of y^5, y^8 and y^6 is y^5

Therefore the greatest common factor of all is:

5x^3y^5

[tex]5x^3y^5^{}[/tex]

The price of a local newspaper increases from 80p to £1.
Find the percentage increase

Answers

Answer:

25%

Step-by-step explanation:

The price of a local newspaper increases from 80p to £1.

Find the percentage increase

increase = Increase ÷ Original Number × 100

increase = 1 : 0.8 x 100

increase = 125

so  the percentage increase is

125 - 100 =

25%

Mona borrowed $6,000 for college expenses. After 2 1/2 years she will have paid $750 in interest. What is the interest rate?

Answers

Simple interest is represented by the expression:

[tex]\begin{gathered} I=p\cdot r\cdot t \\ I=\text{interest earned after t years} \\ p=\text{ money borrowed} \\ r=\text{annual rate of interest} \\ t=\text{ the length of time you borrow} \end{gathered}[/tex]

Understanding this expression, we can substitute our values:

[tex]750=6,000\cdot r\cdot2.5[/tex]

Isolating our variable of interest (r):

[tex]\begin{gathered} r=\frac{750}{6,000\cdot2.5} \\ r=0.05 \end{gathered}[/tex]

The interest rate is 0.05 or 5%

N N Which of the following is an equation of line k in the xy-plane above? (A) y=-x-4 (B) y = x+2 (C) 2y - 3x = -8 (D) 2y - 3x = -4

Answers

Answer:

[tex]2y-3x=-8[/tex]

Explanation:

Given the graph in the attached image;

The intercept of the line on the y-axis is at;

[tex]\begin{gathered} y=-4 \\ At\text{ point;} \\ (0,-4) \\ \text{ intercept b is;} \\ b=-4 \end{gathered}[/tex]

At the x=2, the value of y is;

[tex]\begin{gathered} y=-1 \\ at\text{ point;} \\ (2,-1) \\ \end{gathered}[/tex]

The slope of the line can be calculated using the two points on the graph;

[tex]\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ m=\frac{-1-(-4)}{2-0}=\frac{-1+4}{2} \\ m=\frac{3}{2} \end{gathered}[/tex]

The slope intercept equation of a straight line is of the form;

[tex]y=mx+b[/tex]

substituting the slope m and intercept b we have;

[tex]y=\frac{3}{2}x-4[/tex]

As this is not among the given options, let us solve further;

multiply through by 2 and move the x term to the left side;

[tex]\begin{gathered} y(2)=\frac{3}{2}x(2)-4(2) \\ 2y=3x-8 \\ 2y-3x=-8 \end{gathered}[/tex]

Therefore, from the given options the correct equation for the line is C;

[tex]2y-3x=-8[/tex]

Write an equation (-5,-2) and (-4,-3)

Answers

The equation from (-5, -2) and (-4, -3) is y = -1x - 7

What is Equation of line?

A straight line's equation is a mathematical formula that describes the relationship between the coordinate locations along the line. It can be expressed in a variety of ways and provides the line's slope, x-intercept, and y-intercept.

Given:

P1: (-5, -2)

P2: (-4, -3)

Find:

The equation for the line that passes thru P1 & P2

Solution:

y = mx + b

Will be the equation to arrive to at the very end, but we need m & b, the slope and the y-intercept

m = ( y2 - y1 ) / ( x2 - x1 )

   = ( -3 + 2 ) / ( -4 + 5 ) )

   = -1 / 1

∴ m = -1

Using either P1 or P2, plug in one of their respective x- and y-values into:

y = -1 x + b

For (-5, -2)

-2 = -1 ( -5 ) + b

-2 = 5 + b

-7 = b

∴ b = -7

∴ y = -1x - 7 is the equation of the line that passes thru both points (-5, -2)  and (-4, -3)

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There are 12 girls and 24 boys in a class. What is the ratio of boys to total number of students in the class?

Answers

Answer: 1:2

24 is half of 48

We can begin by adding:

12 + 24 = 36

There are 36 total students.

We can rewrite this ratio with boys to total students:

24 (boys): 36 (total)

The ratio of boys to total students is 24:36; however, we can divide these numbers by 12 to find that the simplified ratio is 2:3.

The ratio of boys to total number of students in the class is 2:3.

Find the value of x. Round lengths of segments to the nearest tenth andangle measures to the nearest degree.

Answers

Answer:

7.8

Explanation:

The length x, the side with length 6, and the angle of 40 degrees are related by the trigonometric function cosine, so

[tex]\cos 40=\frac{6}{x}[/tex]

Because x is the hypotenuse and 6 is the adjacent side.

Solving for x, we get

[tex]\begin{gathered} x\cos 40=x\cdot\frac{6}{x} \\ x\cos 40=6 \\ \frac{xcos40}{\cos40}=\frac{6}{\cos 40} \\ x=\frac{6}{\cos 40}=\frac{6}{0.766}=7.8 \end{gathered}[/tex]

Therefore, the value of x is 7.8

The temperature of a mixture changes by -5.2 Fahrenheit between 8am and 11am. At 6pm the temperature is 14.5 Fahrenheit, which is half of what it was at 11am. What was the temperature at 8am of the mixture. I have this equation , but not sure is correct. 1/2(x-6.8)= -3.1

Answers

Explanation

Let us have a sketch of the question

If the temperature at 6 pm is 14.5 F

And the temperature at 11am is twice that of 6pm

Then the temperature at 11am will be

[tex]2\times14.5F=29F[/tex]

Since the temperature of a mixture changes by -5.2 Fahrenheit between 8 am and 11 am.

Then the temperature at 8 am will be

[tex]\begin{gathered} \theta_{11am}-\theta_{8am}=-5.2 \\ 29F-\theta_{8am}=-5.2F \\ \theta_{8am}=29F+5.2F \\ \theta_{8am}=34.2F \end{gathered}[/tex]

Therefore, the temperature at 8 am will be 34.2 F

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