Write an equation of a line
that passes through the
points
(-6,0) and (0,-24).

Answer:

x=−3 and y=7

Step-by-step explanation Solve: 7x+2y=−7for x:

7x+2y=−7

7x+2y+−2y=−7+−2y(Add -2y to both sides)

7x=−2y−7

7x

7

=

−2y−7

7

(Divide both sides by 7)

x=

−2

7

y−1

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

−2

7

y−1forxin11x+5y=2:

11x+5y=2

11(

−2

7

y−1)+5y=2

13

7

y−11=2(Simplify both sides of the equation)

13

7

y−11+11=2+11(Add 11 to both sides)

13

7

y=13

13

7

y

13

7

=

13

13

7

(Divide both sides by 13/7)

y=7

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

Substitute7foryinx=

−2

7

y−1:

x=

−2

7

y−1

x=

−2

7

(7)−1

x=−3(Simplify both sides of the equation)

49.85% of buyers paid between 150,000 and 154,200

The empirical rule states that for a normal distribution, 68% are within one standard deviation from the mean, 95% are within two standard deviation from the mean and 99.7% are are within three standard deviation from the mean.

Given that mean (μ) = 150000, standard deviation σ = 1400

68% are within one standard deviation = μ ± σ = 150000 ± 1400 = (148600, 151400)

95% are within two standard deviation = μ ± 2σ = 150000 ± 2 * 1400 = (147200, 152800)

99.7% are within three standard deviation = μ ± 3σ = 150000 ± 3 * 1400 = (145800, 154200)

The buyers who paid between 150,000 and 154,200 = 99.7%/2 = 49.85%

Hence 49.85% of buyers paid between 150,000 and 154,200

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Answer:

C

Step-by-step explanation:

Answer:

The Rule for Horizontal Translations:

if y = f(x), then y = f(x-h) gives a vertical translation. The translation h moves the graph to the left when h is a postive value and to the right when h is a negative value.

Step-by-step explanation:

First, let us look at the parent function f(x) = |x|. The graph of this function looks like the following.

Notice that it is symmetric about the y-axis and looks like a v. Now, that we have the parent function and its graph. Let's look at thow the four transformations happen.

Part I: Horizontal and Vertical Translations

First, we must have a definition of the two types of translations. A vertical translation moves the graph up or down. An example of that would be:

Here, the red graph has been moved up 10 units and the blue graph has been moved down 10 units. These are the two types of vertical translations.

The other type of translation is a horizontal translation. A horizontal translation moves the graph left or right. An example of this would be:

Here, the red graph has been moved to the left 10 units and the blue graph has been moved to the right 10 units.

Now that we have seen some examples of the these, let's see if we can figure out why these translations happen.

Here is an equation of one of the vertical translations: , which of the graphs do you think it is? If you said the red one, you are correct.

Now, what do you think the equation of the blue graph is? If you said, , then you are correct again.

What does this lead us to any generalizations about how to make vertical translations with regard to our parent function? If you need a little more help, click here to start a movie of the parent function moving through vertical translations.

Now, we have hopefully come up with a generalization for our parent funcion, f(x) = |x|.

The Rule for Vertical Translations:

if y = f(x), then y = f(x) + k gives a vertical translation. The translation k moves the graph upward when k is a postive value and downward when k is negative value.

Here is an equation of one of the horizontal translations: , which of the graphs do you think it is? If you said the red one, you are correct.

Now, what do you think the equation of the blue graph is? If you said, , then you are correct again.

What does this lead us to any generalizations about how to make vertical translations with regard to our parent function? If you need a little more help, click here to start a movie of the parent function moving through horizontal translations.

Now, we have hopefully come up with a generalization for our parent funcion, f(x) = |x|.

The Rule for Horizontal Translations:

if y = f(x), then y = f(x-h) gives a vertical translation. The translation h moves the graph to the left when h is a postive value and to the right when h is a negative value.

Hope this helps, have a nice day/night! :D

If it helped, please mark as brainliest!

5/7 of $5,404 is $3088.

Sierra earned $3088 and Gavin earned $2316

Answer:

Step-by-step explanation:

(x + y)^2 = 144

x^2 + y^2 = 80

----

x + y = 12 ---> y = 12 - x

x^2 + y^2 = 80

x^2 + (12-x)^2 = 80

2x^2 - 24x + 64 = 0

x^2 - 12x + 32 = 0

x = 4, x = 8

y = 8, y = 4

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

x + y = -12 ---> y = -12 - x

x^2 + y^2 = 80

x^2 + (-12-x)^2 = 80

2x^2 + 24x + 64 = 0

x^2 + 12x + 32 = 0

x = -4, x = -8

y = -8, y = -4

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

One number is + or -4, the other is + or -8,

and the absolute value of the sum is 12.

Answer:

(4,8);(8,4);(-4,-8);(-8,-4)

Step-by-step explanation:

Ok, let's start writing down the two conditions:

[tex]\left \{ {(x+y)^2 = 144} \atop {x^2+y^2=80}} \right.[/tex]

Mumble.  The second almost look like a square, if only there was the [tex]2xy[/tex] term. Let's add (and subtract, so we aren't creating something new) term to the second:

[tex](x+y)^2-2xy = 80[/tex] But we know what the first term is, it's 144. Let's replace and do some number tricks to get:[tex]144-2xy=80 \rightarrow 72-xy=40\\72-40=xy \rightarrow xy=32[/tex]

At this point, let' stare at it for a while. You can tell that the system is simmetrical (if you replace x with y you still get a solution). Moreover, x and y have the same sign: it means that if (a,b) is a solution, then also (b,a), (-a,-b) and (-b, -a) are solutions, and since it's a 4th degree system (the degree of a system is the product of the degrees of the single equations, and they're both quadratic) there are no other solution.

Let's find one pair then. We're tasked to find two numbers that sum to [tex]\sqrt{144} = 12[/tex] and whose product is 32. that is, the root of the polynomial

[tex]z^2+12z+32= (z+4)(z+8)[/tex] (or if you can't see the factors right away, bruteforce it with quadratic formula, it's always good practice). That tells us that one of the two is -4, and the other is -8. From what we said above, the solutions are by combining them with plus or minus.

[tex](4,8);(8,4);(-4,-8);(-8,-4)[/tex]

Answer:

This is the sample answer for plato/edmentum

Step-by-step explanation:

Answer:

$180

Step-by-step explanation:

150 ÷ 25 = 6

6×3 = 18

18×10 = 180

The total value of the coupons that were given out is $180.

Correct option is (D).

The study and use of numbers, their relationships, and mathematical observations are topics covered by the area of mathematics known as arithmetic. The fundamental ideas in number theory, measurement, and computation are sometimes included under the umbrella word "arithmetic" (that is, the processes of addition, subtraction, multiplication, division, raising to powers, and extraction of roots).

As per the given data:

3 out of every 25 customers receive a $10 coupon to use on their next visit.

Customers at the restaurant today = 150

For 25 customers = 3 coupons

For (25 × 6 = 150) customers = (3 × 6 = 18) coupons

Total value of the coupons = 18 × 10 = $180

Hence, the total value of the coupons that were given out is $180.

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Answer:

The dimension of a matrix is indicated with R × C where R is the number of rows in the matrix and C is the number of columns. When a matrix has the same number of rows as columns, then it's a square matrix. Matrices with just one row are called row matrices, and those with only one column are column matrices.

Answer:

61p

Step-by-step explanation:

There are 100 pence in 1 pound, so subtract 39 from 100 to get the change.

Answer:

A C and D are not polynomial

[tex] \: [/tex]

step-by-step explanation

[tex]y = x +2[/tex]

[tex]y = 1x + 1[/tex]

since the equation is written in slope-intercept form y=mxb, identify the slope of the line as the coefficient next to the variable x

[tex]y = 1x + 1 \: ,m = 1[/tex]

[tex]y = 1x + 1 \: ,m = 1 \: ,b = 1[/tex]

so the answer to the equation is

[tex] = m = 1,b = 1[/tex]

[tex] \: [/tex]

#1

[tex]\\ \sf\longmapsto y=x+2[/tex]

Slope intercept form=y=mx+b

On comapring we get

#2

[tex]\\ \sf\longmapsto y+3=\dfrac{-1}{4}x[/tex]

[tex]\\ \sf\longmapsto y=-\dfrac{1}{4}x-3[/tex]

Answer:

26s+24

Step-by-step explanation:

2(3s+9) +2(10s+3)

6s +18+20s +6

26s +24= perimeter

Answer:

Circumference of a circle = pi * diameter

[tex]219.8=3.14*d[/tex]

[tex]d=\frac{219.8}{3.14}[/tex]

[tex]d=70[/tex]

Radius = half of diameter

[tex]r=\frac{1}{2} d[/tex]

[tex]r=\frac{1}{2}*70[/tex]

[tex]r=35[/tex]

Area of circle = [tex]\pi r^2[/tex], where r is the radius:

[tex]a=3.14*35^2[/tex]

[tex]a=3846.5[/tex]

If they ran around the track 3 times, they would cover the circumference three times.

[tex]219.8*3=659.4[/tex]

Convert to centimetres:

[tex]659.4*100=65940[/tex]

Answer:

15

Step-by-step explanation:

Answer:

4500

Step-by-step explanation:

Answer:

38.66

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

k = 12

A= 3

H = 4

So 12-3+4 is 13

Answer:

13

Step-by-step explanation:

Plug in the numbers for the variables.

12-3+4

Then solve in order.

12- 3 = 9

9+4 = 13.

Answer:

n = 3

Step-by-step explanation:

[tex]\frac{5}{15} = \frac{n}{9}[/tex]

Cross multiply

15n = 45

Divide

15n/15 = 45/15

n = 3

Answer:

A)60°

B)140°

Step-by-step explanation:

Hope it can help you lovelots

#LEARN WITH BRAINLY

Step-by-step explanation:

if I understand your text right, we are looking at the line going through the points (0, 2) and (5, 3).

the slope is in a line equation always the factor of x.

anyway, it is expressed as ratio y/x indicating how many units y changes, when x changes a certain amount of units when going from one point on the line to another.

so, we are simply going from (0, 2) to (5, 3).

x changes by +5 (from 0 to 5).

y changes by +1 (from 2 to 3).

so, the slope is y/x = 1/5.

Answer:

B. [tex]\frac{1}{5}[/tex]

Step-by-step explanation:

Answer:

5 and 7

Step-by-step explanation:

Fast and loose: 12 is written as a sum of two odd numbers as 1+11; 3+9; 5+7. The only consecutive pair is 5 and 7

Let's use algebra: let's call 2n+1 the first and 2n+3 the second.

Their sum is 2n+1 +2n+3 = 4n+4 = 12. Thus, n+1=3 and n= 2. It means the 2 numbers are 2x2+1 =5 and 2x2+3 =7

Answer:

(1/2) and 9/10

Step-by-step explanation:

[tex]\dfrac{1}{2}+\dfrac{9}{10}=\dfrac{1*5}{2*5}+\dfrac{9}{10}\\\\\\=\dfrac{5}{10}+\dfrac{9}{10}\\\\=\dfrac{14}{10}\\\\=\dfrac{7}{5}\\\\=1\dfrac{2}{5}[/tex]

Answer:

slope is 0

Step-by-step explanation:

it is flat on a graph

Step-by-step explanation:

that means both functions deliver the same result for the same x.

therefore

x⁵ = x⁷

one solution is of course, x = 0.

the other(s) we get for x<>0 by dividing both sides by x⁵ :

1 = x²

that means we have 2 more solutions (a quadratic equation has 2 solutions, a cubic equation has 3 solutions,...) :

x = 1

x = -1

so, the intersection points are

for x = 0, we get y = 0⁵ (or 0⁷) = 0

for x = 1, we get y = 1⁵ (or 1⁷) = 1

for x = -1, we get y = (-1)⁵ or (-1)⁷ = -1

(-1, -1)

(0, 0)

(1, 1)

The intersection points of the function y = x⁵ and y = x⁷ are (0, 0) , (1, 1) and (-1 , -1).

What is Intersection point?

The intersection point is the point at which the two lines are cuts to each other.

Given that;

The equations are,

⇒  y = x⁵

⇒ y = x⁷

Now, Solve for intersection point as;

The equations are,

⇒  y = x⁵

⇒ y = x⁷

Equate both equation to each other, we get;

⇒ x⁷ = x⁵

Subtract x⁵ both sides , we get;

⇒ x⁷ - x⁵ = x⁵ - x⁵

⇒ x⁷ - x⁵ = 0

⇒ x⁵ (x² - 1) = 0

This gives two conditions;

⇒ x⁵ = 0

or, ⇒ x² - 1  = 0

Solve both the equations as;

⇒ x⁵ = 0  

⇒ x = 0

And,  x² - 1  = 0

( x - 1 ) (x + 1) = 0

x = 1 or x = -1

Thus, The values of x are 0 , 1 and -1.

So, The intersection points are;

For x = 0; y =  x⁵ = 0

For x = 1; y =  x⁵ = 1

For x = -1; y =  x⁵ = -1

Thus, The intersection points of the function y = x⁵ and y = x⁷ are (0, 0) , (1, 1) and (-1 , -1).

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232 fluid ounces is equal to 1.8125 gallons.

Answer:

Exact: 1.8125

Rounded Answers:

Nearest Thousandth: 1.813

Nearest Hundredth: 1.81

Nearest Tenth: 1.8