1
-
-x+y=-5
9x-y=-11

Solution:

Mike correctly found the slope and y-intercept of the line passing through the points (–5, –2) and (3, 14)

To find:  Equation of the line in slope - intercept form

y = mx + c ------ eqn 1

Where, "m" is the slope of line and "c" is the y intercept

[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

From given,

[tex](x_1, y_1) = (-5, -2)\\\\(x_2, y_2) = (3, 14)[/tex]

Therefore,

[tex]m = \frac{14-(-2)}{3-(-5)}\\\\m = \frac{14+2}{3+5}\\\\m = \frac{16}{8}\\\\m = 2[/tex]

Thus slope of line is 2

Substitute m = 2 and (x, y) = (-5, -2) in eqn 1

-2 = 2(-5) + c

-2 = -10 + c

c = -2 + 10

c = 8

Substitute c = 8 and m = 2 in eqn 1

y = 2x + 8

Thus the equation of line is found

Answer:

the answer is y=2x+8

Step-by-step explanation:

Answer:

x=4, y=0. (4, 0).

Step-by-step explanation:

x+3y=4

2x-6y=8

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

x=4-3y

2(4-3y)-6y=8

8-6y-6y=8

8-12y=8

12y=8-8

12y=0

y=0/12

y=0

x+3(0)=4

x+0=4

x=4-0

x=4

Answer:

r=-11

Step-by-step explanation:

Solve for r:

2 (3 r + 11) = 7 r - 3 r

7 r - 3 r = 4 r:

2 (3 r + 11) = 4 r

Expand out terms of the left hand side:

6 r + 22 = 4 r

Subtract 4 r from both sides:

(6 r - 4 r) + 22 = 4 r - 4 r

6 r - 4 r = 2 r:

2 r + 22 = 4 r - 4 r

4 r - 4 r = 0:

2 r + 22 = 0

Subtract 22 from both sides:

2 r + (22 - 22) = -22

22 - 22 = 0:

2 r = -22

Divide both sides of 2 r = -22 by 2:

(2 r)/2 = (-22)/2

2/2 = 1:

r = (-22)/2

2 | 1 | 1

| 2 | 2

- | 2 |  

| | 2

| - | 2

| | 0:

Answer: r = -11

Answer:

35

Step-by-step explanation:

4 x 4+4(5-2)+7

4 x 4+4(3)+7

16+12+7

28+7

35

Answer: 2.5

Step-by-step explanation:

Mean m = Sum s ÷ no of observation n

m = 2.5, n = 10

2.5 = s ÷ 10

s = 10 × 2.5

s = 25.

If one observation 2.5 is deleted from sum 25, new sum equals 25 — 2.5 = 22.5.

The no of observation becomes 9.

Therefore new mean = 22.5 ÷ 9

m = 2.5.

How this helps?

The question is about calculation of a new mean after deleting an observation from a data group. Despite deleting an observation of 2.5 from a data set with a mean of 2.5, the mean remains the same.

The subject matter is about computing the mean of a data set after a data point has been deleted. Starting off, we know we initially have 10 observations with a mean of 2.5. Therefore, the total sum of the observations can be calculated by multiplying the mean with the number of data points (2.5 * 10) to get 25.

Now, if we are to delete one observation worth 2.5, we have to subtract it from our total of 25 to get a new sum of 22.5. Then, we also decrease the number of data points by 1, which leaves us with 9 data points.

Finally, the new mean can be calculated by dividing the new sum by the new number of data points. In this case, it would be 22.5 divided by 9, which equals 2.5. Thus, the mean remains the same even after deleting the observation of 2.5.

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Answer:

D. The probability is 6/11, and the event is neither likely nor unlikely

Step-by-step explanation:

54% = 6/11

Answer:

D

Step-by-step explanation:

Answer:

0.4 and alot of other 4's

Step-by-step explanation:

Answer:

.44444444 repeating

Any number less than 9 over 9 will be itself forever after a decimal point

Step-by-step explanation:

Answer:-5.93958251....

Step-by-step explanation:

To simplify the expression -2√20 - √125, we first factored the square roots, realizing that √20 equals 2√5 and √125 equals 5√5. Plugging these back into the equation, we then combined like terms to get the final answer of -9√5.

The question asks to simplify the expression -2√20 - √125.

First, let's simplify the square roots by factoring out squares from under the radical:

Now let's substitute these simplified forms back into the original equation and simplify:

-2(2√5) - 5√5 = -4√5 - 5√5

Combine like terms to get the final simplified result:

-9√5

complete question given below:

simplify -2 square root 20- square root 125

Answer:

AROUND 6-7 HOURS

Step-by-step explanation:

Answer:

Distrbutive Property

Step-by-step explanation:

The equation -4x - 1/4 = 1 illustrates the addition property of equality.

The property illustrated by the equation -4x - 1/4 = 1 is the addition property of equality. According to this property, if you add the same number to both sides of an equation, the equality of the equation is maintained. To isolate the variable, we need to get rid of the constant term (-1/4) on the left side of the equation by adding 1/4 to both sides. This simplifies the equation to -4x = 1 + 1/4. Then, divide both sides by -4 to solve for x.

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Consider Point P to be (0,0) count the grid lines to find the location of points A, B and C

A=. (-6,-3)

B = (-9,6)

C =(3,9)

Now the scale is 1/3. So divide all the points by 3 to get the new location and place the green dots on them:

A’=(-2,-1)

B’ =(-3,2)

C’ =(1,3)

Final answer:

The solution shown is incorrect because the equation is not simplified before performing operations.

Explanation:

The solution shown is incorrect. Let's go step by step to find the error:

Step One: -5m - 16 = 19

Step Two: 5m - 16 + 16 = 19 + 16

Step Three: 5m = 35

Step Four: Divide both sides by 5: m = 7

The mistake in the solution occurs in Step Two. The previous equation should be simplified to 5m = 35 before dividing by 5. The addition of 16 on both sides should be taken care of first by canceling it out, resulting in 5m = 35 instead of 5m + 0 = 35.

Therefore, the correct solution is m = 7.

Final answer:

The solution to the equation -5m - 16 = 19 is m = -7, not m = 7. The student initially misplaced the sign after dividing by -5.

Explanation:

The student has made a mistake in the initial steps of solving the equation -5m - 16 = 19. The correction process involves isolating the variable m on one side of the equation to find its value.

Step One

Add 16 to both sides of the equation to eliminate the -16:

-5m - 16 + 16 = 19 + 16

-5m = 35

Step Two

Divide both sides by -5 to solve for m:

-5m / -5 = 35 / -5

m = -7

The correct solution is m = -7, not m = 7. It is important to follow the addition rules and subtraction rules carefully and to remember to divide by the coefficient of m, which in this case is -5, resulting in changing the sign of the solution.

Answer:

B: 0.449 secs

A, C, and D: y=2sin(pi/5x), y=2sin(pi/10x), y=2sin(10pi x)

B: y=2sin(2pi/3x)

Answer:

B. y=2sin(2pi/3x)

Step-by-step explanation:

Answer:

the width is 7. i just did this in deltamath

Step-by-step explanation:

Answer:

A. 250

B.40

C.225

D.24

Step-by-step explanation:

20/0.08 = 250

30/0.75 = 40

45/0.2 = 225

36/1.5 = 24

Answer:

a. 8% of 250 = 20

b. 75% of 40 = 30

c. 20% of 225 = 45

d. 150% of 24 = 36

Step-by-step explanation:

20×100÷8

=250

30×100÷75

=40

45×100÷20

=225

36×100÷150

=24

Answer:

42.8%

Step-by-step explanation:

I asked Alexa lol

Answer:

The answer is 40%

Step By Step Explanation:

The reason why is because if you do 10 divided by 25 you get 0.40 and then if you multiply it you get 40 = 40%

Answer:24π feets

Step-by-step explanation:

Since the circumference C= 2πr and r=12

C= 2x12xπ

C=24π

Answer:

72 dollars

Step-by-step explanation:

The answer to (-4.7)⁰ is 1

How to solve the exponent

We have a rule of thumb that Any non-zero number raised to the power of 0 is equal to 1.

This is a fundamental rule in mathematics and is consistent across all real numbers.

So, when you have (-4.7)⁰, you're essentially raising the number -4.7 to the power of 0.

Even though -4.7 is negative, it's still a non-zero number. Therefore, according to the rule, (-4.7)⁰ equals 1.

Answer:

[tex]d=14.5[/tex]

Step-by-step explanation:

Given equation:

         [tex]d - 10 - 2d + 7 = 8 + d - 10 - 30[/tex]

To solve the equation for 'd', take the terms of 'd' to one side and the constants to the other side.

         [tex]d - 2d - d = 8 - 10 - 30- 7+10[/tex]

                 [tex]-2d=8-30-7\\-2d=1-30\\-2d=-29\\ d=\frac{29}{2}\\ d=14.5[/tex]

On, solving the equation the value of 'd' is [tex]d=14.5[/tex]

112 tablets will be dispensed for the 28-day supply.

Step-by-step explanation:

Given:

Received an order of 120 mg tablet po q.i.d. for a 28-day supply.

Here in medical prescription, the term 'po' and 'q.i.d' means a lot to understand the question.

Therefore, to find the number of tablets need to be dispensed for 28- day supply is given by,

[tex]number\ of\ the\ tablet\ for\ 28- day \times number of tablets taken in a day =28 \times 4[/tex]

tablets to be dispensed for the 28-day supply = 112 tablets.

Answer:

s=12

Step-by-step explanation:

Since we know that triangle ABC is similar to XYZ, we know that the side lengths will be proportional to one another. As such, we should take a ratio to determine the side length of s.

[tex]\frac{XY}{AB}=\frac{XZ}{AC}\\\\\frac{9}{6} =\frac{s}{8}\\\frac{8*9}{6} =s\\s=72/6=12\\s=12[/tex]

Answer:

14.28 ft squared

Step-by-step explanation:

The formula for the area of a parallelogram is base times height.

Add 3.2 to 1.9 to get the base, and 2.8 is the height.

(3.2 + 1.9) x 2.8

5.1 x 2.8 = 14.28

14.28

Answer:

her weekly allowance would be 7

Step-by-step explanation:

Answer:

$24

Step-by-step explanation:

12 is 1/2 of 24.

So, when she weeds the garden, she will have $17.

If she gets her weekly allowance and the $5, she will have $41, assuming she doesn't spend any of the money she already has.

Answer:

1600

Step-by-step explanation:

Assuming $6.25 is the interest earned annually,

Let n be the no. of years

Then,

6.25 × n = 10000

n = 10000/6.25

n = 1600

x = - 0.12 or - 15.87

Step-by-step explanation:

Therefore, [tex]x = -0.12, -15.87[/tex]

Answer:

2785

Step-by-step explanation:

Answer:

3)  A

4)  D

Step-by-step explanation:

3)

Find any four points where y intersects with x on graph A

(-4 , 2)        (-2 , 1)          (4, - 2)           (2 , -1)    

Find the relationship(s) between x and y

(-4 , 2)        (-2 , 1)          (4, - 2)           (2 , -1)    

x = -2y       x = -2y        x = -2y           x = -2y

It is shown that there is a direct proportional relationship between x and y, (x = -2y)

Repeat for graphs B, C, and D

Find any four points where y intersects with x on graph B

(3 , 2)           (5 , 4)          (-3 , -4)              (-4 , -5)

Find the relationship(s) between x and y    

x = 1.5y         x =  1.25y       x =  0.75y       x =  0.8y

As you can see, there is not a constant direct proportional relationship between x and y. B is not the correct answer

Graph C

Find any four points where y intersects with x on graph C

(-5 , -3)         (-1 , -3)      (1 , -3)          (5 , -3)

Find the relationship(s) between x and y    

x = 1.67y    x = 0.3y   x = -0.3y        x = -1.67y

Once again, there is not a constant direct proportional relationship between x and y, so C is not the correct answer

Graph D

Find any four points where y intersects with x on graph D

(2 , 1)      (2 , 2)      (2 , 3)          (2 , 4)

Find the relationship(s) between x and y    

x = 2y    x = y      x = 0.67y     x = .5y

There is no direct constant relationship between x and y in this graph either.

Graph A is the only graph with a direct proportional relationship between x and y.

4) Allison wants to know whom seventh-grade students will vote for in the upcoming class president election.

A) Every member of the student council

Asking every member of the student council who they are voting for will not help Allison, because it is likely that there are multiple grades involved in the student council, when Allison just wants to know the opinions of seventh-graders. The student council also might have a different opinion than the general seventh-graders.

B) All 12 girls in Allison's homeroom class

It is likely that the girls at Allison's school have a very different opinion than the boys at her school, making this a bad data set.

C) Every tenth student who arrives at school on Monday

Allison only want to know the opinions of seventh-graders, not every tenth student at her school, which would consist of more than seventh-graders.

D) Every tenth name on a roster of all of the seventh-graders at the school

This data set would be the most useful to Allison because it is multi-gender, only seventh-grade, and consists of the general seventh-graders (not part of a special group).

D

Hope this helps :)

Answer:

56 per hour

Step-by-step explanation:

168 divided by 3