equation of the line that passes through (7,-1) and (-3,-1)

Answer:

|6x+12|= 12 has 2 solutions --> x = -4 or x = 0

|6x+12|= -1 has No solutions

∣6x+12∣=0 has 1 solution --> x = -2

Explanation:

|6x+12|= 12

- Break |6x+12| = 12 down into two equations -

                                ↓

                       6x + 12 = 12

                       6x + 12 = −12

          - Solve both equations to x -

                       6x + 12 = 12

                       6x + 12 = −12

                                ↓

                            6x = 0

                           6x = −24

                                ↓

                             x = 0

                             x = −4

|6x+12|= -1

The absolute value function is always positive or 0 so false.

∣6x+12∣=0

- Because its 0, we simply just solve the equation -

                              6x + 12 = 0

                                     ↓

                                6x = -12

                                     ↓

                                  x = -2

~That's All Folks~

-Siascon

The best prediction of Riley’s height is 65.84 inches and it can be determined by using the linear regression equation.

Bryce wrote the linear regression equation,

[tex]\rm y=1.123x-6.443[/tex]

To predict the arm span, y, of a person who is x inches tall.

Riley has an arm span of 67.5 inches.

Which is the best prediction of Riley’s height?

To predict the arm span, y, of a person who is x inches tall.

Riley has an arm span of 67.5 inches.

[tex]\rm y=1.123x-6.443[/tex]

Where the arm span, y, of a person who is x inches tall.

Riley has an arm span of 67.5 inches,

Then,

The best prediction of Riley’s height is,

[tex]\rm 67.5 = 1.123x -6.443\\\\67.5+6.443=1.123x\\\\ 73.943 = 1.123x\\\\ x = \dfrac{73.943}{1.123}\\\\ x = 65.84 \ inches[/tex]

Hence, The best prediction of Riley’s height is 65.84 inches.

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Answer:

87

Step-by-step explanation:

66 + 72 + 87 = 225

225/3 = 87

Answer:

  87

Step-by-step explanation:

For problems involving averages, it often works well to consider the differences from the average. Here, Ali desires an average of 75. The total of differences from average will be zero. The differences for the known scores are ...

  66 -75 = -9

  72 -75 = -3

The total of these is -12, so the third score must have a difference of +12 for the average to be 75

  x -75 = 12

  x = 87

For the average to be at least 75, the third score must be at least 87.

_____

You can also work this in a more conventional way. The average of the three scores must be at least 75.

  (66 +72 +x)/3 ≥ 75

  138 +x ≥ 225 . . . . . . multiply by 3, simplify

  x ≥ 87 . . . . . . . . . . subtract 138

The lowest mark Ali must receive is 87.

Answer:

9

Step-by-step explanation:

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

m=(7-(-2))/(-6-(-7))

m=(7+2)/(-6+7)

m=9/1

m=9

Answer:

i think 4.4n+3-3.4n = n+3

Answer:

n+3

Step-by-step explanation:

If Im not incorrect you have to combine like terms in the equation which would only leave you with 1n (Just N basically)  then you just plug in the three and equation done.

The type of laboratory that is not required to have coved floors is a BSL2.

Safety in laboratories is measured through the Biosafety Level scale. This scale evaluates how much protection do people working in the laboratory need to avoid any risks while working with pathogens or toxins.

This scale goes from 1 to 4 and the 4 level represents labs in which extremely dangerous pathogens are studied, and therefore labs with the highest safety protocols.

In this context, coved floors are not required for labs classified in Biosafety level 2 because in these labs pathogens have only a moderate risk, therefore some precautions such as the coved floors are not required.

Learn more about labs in: https://brainly.com/question/14428286

Answer:

A = 3

B = 1

C = 2

D = 3

Situation A is graph 3, situation B is graph 1, situation C is graph 2 and situation D is graph 4.

Slope of a line is the ratio of the change in y coordinates to the change in the x coordinates of two points given.

Situation A :

The water tank is empty at first. So the graph must start at origin.

Tank is filled at a constant rate for 3 minutes until it is half full, that is until it is 10 gallons.

Then the tank is emptied at a constant rate for 3 minutes, which is also 10 gallons.

So the slope must be equal.

And the graph must start from 0 and ends at zero which is graph 3.

Situation B :

Water tank is already full. So the graph must start at higher value in the Y axis.

The only possibility for this is graph 1, since all others starts at origin.

Situation C :

Water tank starts at empty. So the graph starts at 0.

First the rate is slower, then it becomes faster. So there will be an increase in the slope, which is graph 2.

Situation D :

Graph starts at origin since the tank is empty.

Then there is a slight decrease in the water for some time. So the graph turns down slightly, again tank is refilled, so the graph goes up.

Hence each of the graph corresponds to the situation is found.

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Answer:

C) 5 seconds

Step-by-step explanation:

[tex]h = - 16t {}^{2} + 64t + 80[/tex]

When the ball hits the ground, the height is 0.

[tex]0 = - 16t {}^{2} + 64t + 80[/tex]

Factor out the greatest common factor: 16

[tex]0 = - 16(t {}^{2} - 4t - 5)[/tex]

Find numbers whose sum is -5 and product is - 4.

Those numbers are - 5 and 1: - 5 × 1 = - 5, - 5 + 1 = - 4

[tex]0 = - 16(t - 5)(t + 1)[/tex]

[tex]t - 5 = 0[/tex]

Or

[tex]t + 1 = 0[/tex]

So,

[tex]t = 5[/tex]

Or

[tex]t = - 1[/tex]

Since time cannot be a negative value the correct answer is 5 seconds.

Answer:

  B

Step-by-step explanation:

If you're concerned with the points -2 and -5, you would be looking for a number line with those points plotted on it. The only one is ...

  number line B

Answer:

1,6,2 and 5

Step-by-step explanation:

(2x/5)² . (1x⁴/4)^-1

=(2²x²/5²) . (4/x⁴)

=4x²/25 × 4/x⁴

= 16/25x²

Answer:

A) 15+ (-13) + (-2) = 0

Step-by-step explanation:

we start off with 15 cupcakes in total. Our number of cupcakes decreases when we give 13 to our friends. 15-13=2 so we have 2 cupcakes left. If we then give the remaining 2 cupcakes to our teachers, then we are left with 0 cupcakes.

The way to express this as an equation is 15 - 13 - 2 = 0 , which is equivalent to 15+(-13)+(-2)=0

Answer:

The first option.

Step-by-step explanation:

She originally has 15 cupcakes, if she gives 13 away to her friends and 2 away to her teacher then she would end up with 0, which rules out two options, but the second down would be someone giving her cupcakes, due to the addition symbol, so it's the first option.

Hope this helps and have a good day!:)

Answer:

36.87 degrees

Step-by-step explanation:

Use the law of sines

sin(90)/70 = sin(x)/42

Multiply each side by 42

42 * sin(90)/70 = sin(x)

use a calculator to get 0.6

Use inverse sin to find angle sin^-1 = 0.6

The angle is approximately 36.87 degrees

Answer:

26.3 grams

Step-by-step explanation:

36% = 36/100 = 0.36

73 * 0.36 = 26.28 grams ≈ 26.3 grams

Answer:

i think 26.3 grams

Step-by-step explanation:

0.36×73 = 26.28

When rounded to the nearest tenth, 26.28 should be equal to 26.3

So Dante's the chocolate bar contains 26.3 grams of cocoa.

Answer: 1/8

Step-by-step explanation: 3-4 = -1

-3-5= -8

-1/-8=1/8

Answer:

D = (9,4) - (-4, -7) = (13,11)   where D is length of line between A and B

.7 D = (9.1, 7.7)       since .7 * 13 = 9.1     and .7 * 11 = 7.7

Thus we merely need to add these amounts to point A

(-4, -7) + (9.1, 7.7) = (5.1, .7)    for the final coordinates

Answer:

  (d)  perpendicular bisectors

Step-by-step explanation:

The circumcenter is the center of the circumcircle of the triangle. Each vertex of the triangle lies on that circle. The sides of the triangle are chords of the circle.

The perpendicular bisector of a chord is a line that intersects the center of the circle containing the chord. Hence, the perpendicular bisectors of the sides of a triangle will intersect the circumcenter.

Answer:

The correct answer option is 192

Step-by-step explanation:

We are given the results of a random survey about the preferred service for streaming movies.

We are to find the number of people we would expect to prefer Company B.

Number of people using service B = 32

Total number of people = 125

Number of people expected to prefer Company B =32/125 x 750  = 192

Answer:

9.50 am

Step-by-step explanation:

3.40pm minus 2 hours = 1.40pm

1.40 minus 30 min = 1.10pm

1.10am minus 3 hours = 10.10am

10.10 am minus 20 min = 9.50 am

start at 9.50 .... works for3hrs and 20 min which ends at 1.10... 30min break which ends at 1.40...works for 2hrs that finally ends at 3.40pm

hope this helps☆☆☆

Answer:

Step-by-step explanation:

"The quotient of a number and -1.5 is 21."

Let X be the "number."

X/-1.5 = 21

X = -1.5*(21)

X = - 31.5

Equivalent expressions are expressions of different forms that have the same value

The equivalent simplified expression of [tex]\sqrt[5]{\frac{10x}{3x^3}}[/tex] is [tex]\sqrt[5]{\frac{810x^3}{243x^5}}[/tex]

The equation is given as:

[tex]\sqrt[5]{\frac{10x}{3x^3}}[/tex]

Multiply the fraction by 810x^2.

So, we have:

[tex]\sqrt[5]{\frac{10x}{3x^3}} =\sqrt[5]{\frac{10x \times 81x^2}{3x^3\times 81x^2}}[/tex]

Evaluate the products

[tex]\sqrt[5]{\frac{10x}{3x^3}} =\sqrt[5]{\frac{810x^3}{243x^5}}[/tex]

Hence, the equivalent simplified expression of [tex]\sqrt[5]{\frac{10x}{3x^3}}[/tex] is [tex]\sqrt[5]{\frac{810x^3}{243x^5}}[/tex]

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Answer:

d

Step-by-step explanation:

The total installment price is $1331.

Installment means adding the total principal of the loan and the total interest on the principal together and then dividing the sum by the number of installment payments.

For the given situation,

The purchase price of the refrigerator = $1200

Down payment = $65

Monthly installment = $121

Installment period = 11 months

Total installment price = [tex](121)(11)[/tex]

⇒ [tex]\$1331[/tex]

Hence we can conclude that the total installment price is $1331.

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Answer:

3

Step-by-step explanation:

Pick 2 x values to plug in:

x  = 0:        3(0)+6 = 6

x = 2:         3(2)+6 = 12

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

slope = (12 - 6) / (2 - 0)

slope = 6 / 2

slope = 3

Answer:

4.3

im not sure

correct me if im wrong

Answer

6.7

Step-by-step explanation:

Works on acellus

Answer:

1.Identify the slope.

2.Identify the point.

4.Substitute the values into the point-slope form, y − y 1 = m ( x − x 1 ) .

5.Write the equation in slope-intercept form.

Step-by-step explanation:

Answer:

y=-\frac{2}{3}x+3

Step-by-step explanation:

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

There are 4 variables in this equation, and 3 of them are already given. We already have the slope and the (x, y) of a known point. Plug those 3 into the equation and solve for b:

[tex]7=-\frac{2}{3}(-6)+b\\7=4+b\\b=3[/tex]

Now, with the slope and the y-intercept, you can write the equation of the line:

[tex]y=mx+b\\\\y=-\frac{2}{3}x+3[/tex]

Answer:

2x³-2x²-3x-14

Hope it helps you

Answer:

Step-by-step explanation:

Because CB = 6 cm, we can find CD

Use Triangle CDB.

<BCD = <BCA - <ACD

<BCD = ?

<BCA = 90

<ACD = 60

<BCD = 90 - 60

<BCD = 30

Cos 30 = CD / CB

CD = Cos(30) * BC

CD = 5.196 cm

<A = 90 - ACD

<ACD = 60

<A = 90 - 60

<A = 30

Sin(<A) = CB / AB

AB = CB / sin(<A)

AB = 6 / 0.5

AB = 12

Area =1/2 CD * AB

Area = 1/2 * 5.196 * 12

Area = 31.18

The equation to represent the relationship of the weights shown on the scale s [tex]22 + x = 34[/tex]

The weights are given as:

[tex]Small\ Square = 1[/tex]

[tex]Larger\ Square = 10[/tex]

The total weight on one side, where there are 4 small squares and 3 large squares is:

[tex]Total =4\times Small\ Square + 3 \times Larger\ Square[/tex]

[tex]Total =4\times 1 + 3 \times 10[/tex]

[tex]Total =34[/tex]

The total weight on the other side, where there are 2 small squares, 2 large squares and 1 triangle is:

[tex]Total =2\times Small\ Square + 2 \times Larger\ Square + 1\times triangle[/tex]

[tex]Total =2\times 1+ 2 \times 10+ 1\times triangle[/tex]

[tex]Total =2+ 20+ 1\times triangle[/tex]

[tex]Total =22+ 1\times triangle[/tex]

[tex]Total =22+ triangle[/tex]

The weight of the triangle is x.

So, we have:

[tex]Total =22+ x[/tex]

The weights on both sides are equal, because the scale is balanced.

So, we have:

[tex]22 + x = 34[/tex]

Hence, the equation is [tex]22 + x = 34[/tex]

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Answer:

1/9 of a gallon of sauce

Step-by-step explanation:

You would have to divide the fraction (1/3) by the number of pizzas (3)

but…

you can’t DIVIDE fractions, so you have to use the “keep-change-flip“ method

1/3 ÷ 3

keep 1/3

change ÷ into ×

and flip 3 into 1/3 (because technically 3 is 3/1)

1/3×1/3= 1/9

hope this helped!

Answer:

Simplfy 823543000000

Exponential form 8.23543 × 10^11

Answer: C 1/2mL LMN= mL LMO

Step-by-step explanation: because 2/76 is 38 C is the right answer