Find an equation of the line passing through each of the following pairs of points (−3, 1), (0, 3)

Answer:

102-105

Step-by-step explanation:

Median formula for a group data is expressed as shown;

Median = (N+1)/2 th value/interval

N is the total number of students

From the question N = 36

Median = (36+1)/2

Median = 37/2

Median = 18.5

Therefore we are to cumulate the value of the frequency up till the 18.5th value.

From the table

If we keep cummulating the frequency from the top;

Let's add:

1+3+5+5+8 = 21

Since the 18.5th values falls within the cumulative frequency value (i.e 21), the corresponding interval where we stopped cumulating will be our Median.

From the table, the interval with the frequency of 8 is 102 - 105. Hence the median is located at the interval 102 - 105

Answer:

102-105

Step-by-step explanation:

edge

Answer:

Step-by-step explanation:

Answer:

[tex]r=2v+s[/tex]

Step-by-step explanation:

[tex]v=\frac{r-s}{2}\\\\2(v)=2(\frac{r-s}{2})\\\\2v=r-s\\\\r-s=2v\\\\r-s+s=2v+s\\\\r=2v+s\\\\\dagger[/tex]

Answer:

Your answer is:  r= 2v+s

Solve for  r  by simplifying both sides of the equation, then isolating the variable.

Step-by-step explanation:

Hope this helped : )

Answer:

0.1754

Step-by-step explanation:

Use a calculator

Answer:

5.70 hope that helped :)

Answer:

1 1/2 or 3/2

Step-by-step explanation:

Step-by-step explanation:

The answers are 60 and 6.86

Answer:

[tex]p_1=2+ \sqrt{5}\\p_2=2- \sqrt{5}[/tex]

Step-by-step explanation:

A second-degree equation is often expressed as:

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

where a,b, and c are constants.

Solving with the quadratic formula:

[tex]\displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

The equation to solve is:

[tex]p^2-4p=1[/tex]

We need to express the equation as mentioned above. The right side of the equation must be zero, so we subtract 1:

[tex]p^2-4p-1=0[/tex]

Now we have the values to solve the equation:

a=1, b=-4, c=-1

Applying the formula:

[tex]\displaystyle p=\frac{-(-4)\pm \sqrt{(-4)^2-4(1)(-1)}}{2(1)}[/tex]

[tex]\displaystyle p=\frac{4\pm \sqrt{16+4}}{2}[/tex]

[tex]\displaystyle p=\frac{4\pm \sqrt{20}}{2}[/tex]

Since 20=4*5:

[tex]\displaystyle p=\frac{4\pm \sqrt{4*5}}{2}[/tex]

Taking the square root of 4:

[tex]\displaystyle p=\frac{4\pm 2\sqrt{5}}{2}[/tex]

Simplifying by 2:

[tex]p=2\pm \sqrt{5}[/tex]

Two solutions are found:

[tex]\boxed{p_1=2+ \sqrt{5}}\\\boxed{p_2=2- \sqrt{5}}[/tex]

Answer:

15= A=11138

17= A≈57.43

Step-by-step explanation:

15) A=2(wl+hl+hw)

17) A=2πrh+2πr^2

Answer:

c. 4

Step-by-step explanation:

I took it on the test and it was right. Hope this helps!

Answer:

Linear

Step-by-step explanation:

The y is increasing constantly by 5 each time. The equation that would represent this is y=5x-7 because when x is 0 y is -7, so that is your y intercept, and the m, or slope, of your graph is 5, because of the constantly increasing y.

The given  table is representing linear function. So Option B is correct.

Function is a relation between a set of inputs and a set of outputs which are permissible. In a function, for particular values of x we will get only a single image in y. It is denoted by f(x).

Given that,

A table

x   0    1    2    3    4    5  

y   -3   5   13  21   29  37

Lets us first check that data for linear relationship,

Consider a function,

y = mx + c

lets put value (0, -3)

-3  = m0 + c

c = -3

y = mx -3

Now putting second point

5 = mx1 -3

m = 8

y = 8x - 3

If third point satisfies the given condition

then it will be linear function

x = 2 & y = 13

y = 8x -3

13 = 8x2 - 3

13 = 13

hence proved

Thus, the given table represents the linear function.

To know more about Functions check:

https://brainly.com/question/5975436

#SPJ7

Answer:

360

Step-by-step explanation:

Answer:

360

Step-by-step explanation:

An angle can range from 0 to 360 degrees.

Answer:

C. Nonvertical parallel lines will have the same slope but different​ y-intercepts.

Step-by-step explanation:

Parallel lines never intersect, so they must have the same slope. The reason why option A is incorrect is because if they had the same y-intercept, they would be considered the same line directly on top of each other, and parallel lines never touch. :)

Nonvertical parallel lines will have the same slope but different​ y-intercepts. Then the correct option is C.

When the distance between the lines is constant then the lines are called parallel lines. The lines do not intersect when they are separated from each other. And the slope of the lines is equal.

Let the equation of the line be ax + by + c = 0. Then the equation of the parallel line that is parallel to the line ax + by + c = 0 is given as ax + by + d = 0.

The slope of the parallel line will be congruent. And the product of the slopes of the perpendicular lines will be negative 1.

Nonvertical parallel lines will have the same slope but different​ y-intercepts. Then the correct option is C.

More about the equation of a parallel line link is given below.

https://brainly.com/question/402319

#SPJ2

Answer:

no solution

Step-by-step explanation:

5x+6=7x+5-2x original equation

5x+6=7x-2x+5 apply the commutative property

5x+6=5x+5 combine like terms

6=5subtract 5x from each side

Since this is never true, there is no solution

Answer:

There's no value of x that can make the equation 5x+6=7x+5-2x true.

Step-by-step explanation:

[tex]f(x) = \cos^2(3x^3)\\f'(x) = \frac{d}{dx}[\cos^2(3x^3)]\\= 2\cos(3x^3) \cdot \frac{d}{dx}[cos(3x^3)]\\= 2\cos(3x^3) \cdot (-\sin(3x^3)) \cdot \frac{d}{dx}[3x^3]\\= 2\cos(3x^3) \cdot (-\sin(3x^3)) \cdot 9x^2\\= -18x^2\cos(3x^3)\sin(3x^3)[/tex]

Answer:

10

Step-by-step explanation:

divide 20 by 2. so the answer is 10.

Answer:

C

Step-by-step explanation:

The negative slope of -1/3x will go down 1 and right 3 as it decreases. The +2 is where the y axis is intersected.

Answer:

?

Step-by-step explanation:

Answer:

Probably the easiest number to factor out is 2 since 96 is an even number. 96/2 = 48.

Step-by-step explanation:

Answer:

8.9 seconds

Step-by-step explanation:

When caroline catches sam after some time lets say t

distance moved by Caroline will be 80 feet more than sam as they were 80 feet apart.

Given

Let the time taken by Caroline to catch sam is t seconds

distance covered by Caroline in t seconds = speed of caroline*t

distance covered by Caroline in t seconds = 31  * t

distance covered by Caroline in t seconds = 31t feet

distance covered by sam in t seconds = speed of sam*t

distance covered by sam in t seconds = 22  * t

distance covered by sam in t seconds = 22t feet

distance moved by Caroline will be 80 feet more than sam as they were 80 feet apart and caroline catches her in t seconds

thus,

distance covered by Caroline in t seconds  = distance covered by sam in t seconds  + 80 feet

31t = 22t + 80

subtracting 22t from both sides

=> 31t - 22 t = 80

=> 9t = 80

=>t = 80/9 = 8.9 seconds

Thus,

it will take 8.9 seconds for Caroline to catch Sam

Answer:

350000 * 0.06 = 21,000

Step-by-step explanation:

i think its 21,000 commission because 6% of 350000 is 21,000

Answer:

$21.00

Step-by-step explanation:

we can solve easly like this

if 6%=1.26

100%=?

100%*1.26/6%=126%/6%

=$21

therefore $21's 6%is $1.26.

i think the answer is clear i hope it helps you

Answer:

The degree of f(x) is even and the leading coefficient is positive. There are 3 real zeros and 2 relative minimum values.

Step-by-step explanation:

We have the graph of f(x).

In general, remember these points:

For even-degree functions:

And for odd-degree functions:

P.S. Yes, it's a lot. But grasping these concepts will help you greatly in future mathematics!

Anyways, let's go back to our problem. Our graph has the same end behavior, so it must be an even function.

Moreover, both end behavior are approaching positive infinity, so the leading coefficient must be positive.

The real zeros of a function are whenever the graph touches or crosses the x-axis. We see that it happens only three times (this is circled in blue below in the image).

The relative minimum values are whenever the graph reaches its lowest point between an increasing and decreasing (or decreasing and increasing) curve. This happens twice (this is circled in black below in the image).

Note: The black arrows denote whether the graph is increasing or decreasing (down means decreasing, up means increasing).

So, you can see that our minimums will always be between a decreasing and then an increasing curve.

So, our solution is:

The degree of f(x) is even and the leading coefficient is positive. There are 3 real zeros and 2 relative minimum values.

And we're done!

▪ Answer:

x = 9

▪ Step-by-step explanation:

Hi there !

opposite angles

4x + 2 = 7x - 25

2 + 25 = 7x - 4x

27 = 3x

x = 27 ÷ 3

x = 9

Good luck !

Answer:

x = 9

Step-by-step explanation:

opposite angles

4x + 2 = 7x - 25

2 + 25 = 7x - 4x

27 = 3x

x = 27 ÷ 3

x = 9

Answer:

16:24

Step-by-step explanation:

Write this [tex]\frac{2}{3}[/tex] [tex]\frac{16}{x}[/tex]  (Cross multiply)

16*3 = 2*x

48 = 2x (divide by 2)

24 = x

Hope this helped!!!

Answer:

Step-by-step explanation:

A store has a 20% sale on everything.

So since you are saving 20%, you will only be paying 80% of the original price.

To find the sale price use the following formula:

Sale price = 80% x original price

They told us the original price = 350 AED

This means:

Sale price = 80% x 350

I think it would be easiest to change 80% into a fraction if you don't have a calculator :)

80% = [tex]\frac{80}{100} = \frac{4}{5}[/tex]

This means that the

Sale Price= [tex]\frac{4}{5}[/tex] x 350 = 280 AED