Write the point-slope form of the equation for a line that passes through (-1, 4) with a slope of 2.
The value of xt is
The value of yn is
The point-slope form of the equation is

Answer:

3

Step-by-step explanation:

25 divided by 5 is 5

therefor 15 divided by 5  is 3

15/25 = 3/5

Answer:

3

Step-by-step explanation:

[tex]\frac{15}{25} =\frac{?\\}{5}[/tex]      25 divided by ? = 5? The number 5 so divide 15 as well

15 ÷ 5 = 3

[tex]\frac{15}{25} =\frac{3}{5}[/tex]

Hence, 3 is the answer

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Answer:

A) -8x+2

Step-by-step explanation:

-8x + 7 - 5 - 5x + 5x

-8x -5x + 5x + 7 - 5

- 8x+2

Answer:

Similar to your other question. Now, you're looking for the score such that this time, 0.99 corresponds to a z-score of approximately, which means

Answer:

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

Step-by-step explanation:

Required

The equation of the above linear function

From the table, we have:

[tex](x_1,y_1) = (1,1)[/tex]

[tex](x_2,y_2) = (2,4)[/tex]

Calculate slope (m)

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

[tex]m = \frac{4 -1}{2 -1}[/tex]

[tex]m = \frac{3}{1}[/tex]

[tex]m =3[/tex]

The equation is:

[tex]y = m(x - x_1) + y_1[/tex]

So, we have:

[tex]y = 3(x - 1) + 1[/tex]

[tex]y = 3x - 3 + 1[/tex]

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

Answer:

450g coffee or 21.95$ coffee

Step-by-step explanation:

again, divide whichever pair you want to and you still have the same answer whether it is less or more: 450/250 is math would be 9/5 and 21.95/12.35 is 1.77732793522. so if we find the true value of 9/5, which is 1.8, and since it is more that the original price that means the more coffe you get, the cheaper it gets (basically all of life is like this), so the 450 g coffee is worth alot less than and is bigger than the 250 g coffee

Answer:

y = 1 and y = 5

Step-by-step explanation:

[tex]( 3 y -9)^2 + 7 = 43\\\\((3y)^2 + (-9)^2 + 2(3y)(-9)) = 43 - 7\\\\(9y^2 + 81 -54y) = 36\\\\9y^2 -54y + 81 -36 = 0\\\\9y^2 -54y + 45 = 0\\\\9(y^2 -6y + 5) = 0\\\\y^2 - 6y + 5 = 0\\\\y^2 - 5y - y + 5 = 0\\\\y(y - 5) -1(y - 5 ) = 0 \\\\( y - 1 )( y - 5) = 0\\\\y = 1 \ , \ y = 5[/tex]

The values of y in the equation (3y-9)^2+7 = 43 are 1 and 5

The equation is given as:

(3y-9)^2+7 = 43

Subtract 7 from both sides of the equation

(3y - 9)^2 = 36

Take the square root of both sides

3y - 9 = ±6

Add 9 to both sides

3y = 9 ± 6

Divide through by 3

y = 3 ± 2

Expand

y = (3 - 2 or 3 + 2)

Evaluate

y = 1 or 5

Hence, the values of y are 1 and 5

Read more about quadratic equations at:

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Answer:

[tex]S(y)=36000*(1+0.03)^{y}[/tex]

Step-by-step explanation:

Answer:

y=36,000×1.03^x

Step-by-step explanation:

Answer:

18 sides

Step-by-step explanation:

Each exterior angle of a regular polygon = 20 deg. So the polygon has 360/20 = 18 sides

Percent of free throws = (number of free throws made / total attempts) x 100

Percent = (80/100) x 100 = 80%

The answer is 80%

Answer:

80%

Step-by-step explanation:

Answer:

[tex]x= \frac{2046}{74}\\\\y = \frac{366234}{74}[/tex]

Step-by-step explanation:

[tex]y = 179x\ ----- ( 1 ) \\\\y= 105x + 2046 \ ----- (2)\\\\[/tex]

[tex](1) => y - 179x = 0 \ ----- ( 3)\\\\(2) => y - 105x = 2046 \ ------ ( 4)[/tex]

[tex]( 3 ) - ( 4) =>\\\\(-179x +105x ) = 0 - 2046\\\\-74x = -2046\\\\x = \frac{2046}{74}[/tex]

[tex]Substitute \ x \ in ( 1 )\\\\y = 179x \\\\y = 179 \times \frac{2046}{74} = \frac{366234}{74}[/tex]

The answer is attached. I hope this helps answer your question!

Answer:

ASA

Step-by-step explanation:

..................

To prove ABC = ADC, We use ASA triangle postulate.

We know two similar planer figures are congruent when we have sides or angles or both that are the same as the corresponding sides or angles or both.

The similarity of triangles on the other hand is when the corresponding angles are equal but the corresponding sides are not equal but they have the same common ratio.

From the given diagram a quadrilateral ABCD is given,

Line segment AC divides quadrilateral ABCD into two triangles namely

ABC and ADC, and both have a common side AC.

m∠BAC ≅ m∠DAC and m∠BCA ≅ m∠DAC.

Therefore, Triangle ABC and ADC are congruent by ASA, with two angles and a side included between them.

learn more about congruency here :

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Answer:

ur mom

Step-by-step explanation:

doin doin

Answer:

D

5 sq.rt. 3

Step-by-step explanation:

use the pythagorean theorem: a^2 + b^2 =c^2

5^2 + x^2 = 10^2

25+ x^2 =100

x^2 = 100 - 25

x^2 =75

x = [tex]\sqrt{75}[/tex]

x = 5 [tex]\sqrt{3}[/tex]

Answer:

A = 0.25*j + 1

Step-by-step explanation:

The question presented here is an application of linear models. The $1 amount is fixed and does not depend on any factor such as the cups of orange juice sold.

Furthermore, we are informed that we earn $0.25 for every cup of orange juice sold. This means that we shall earn 0.25 j by selling  j cups of orange juice.

The variable total amount, A will thus depend on the fixed amount of $1 and the variable income 0.25 j.

The equation in two variables that will represent the total amount A (in dollars) you have after selling j cups of orange juice will thus be;

A = 0.25*j + 1

Hope this helped.....

Answer:

5 points huh thats mean

Step-by-step explanation:

Answer:

The dog has the name Sammy.

Step-by-step explanation:

A cat and dog cannot be green, therefore the bird is Fluffly.

Noodles must be the cat since it's younger than the bird and the dog.

The only one that doesn't have an explanation is the dog, therefore the dog must be named Sammy.

Answer:

C. The mean of the data set is 8.

Step-by-step explanation:

From the dot plot we can make a frequency table as follows:

Number of books read                      Frequency

       6                                                       2  

       7                                                       2

       8                                                       2

       9                                                       2

       10                                                      2

Since, the number of dots are  10 or then sum of the frequencies is 10.

           Hence, the number of observations are 10.

Also, the median of the set is: 8

Now, the mean is calculated as:

                  Hence, Mean of the data set is: 8

Now, the range of the data set is the difference between the minimum and the maximum value.

                  Hence, range=10-6=4

           The range of the data set is 4.

Answer:

c

Step-by-step explanation:

Answer:

-3/9x

Step-by-step explanation:

You rearrange for 'y' so divide both sides by it's coefficient which is 9.

Answer:

The slope is -1/3

Answer:

6 3/8 units

Step-by-step explanation:

1 1/2* 4 1/4= 6 3/8

Answer:

Diameter(line going across the circle that you've given) = 6 in

Radius(half of diameter) = 3 in

Circumference(the perimeter of the circle) = 18.85 in

Area = 28.27^2

Step-by-step explanation:

In order to find the circumference, you will need to first find the radius(which is always half the size of the diameter which in this case is 3 in). You will then need to do this formula: 2 x 3.14 x 3 which equals to 18.85.

Answer:

The circumference of a circle is about 18.85 inches.

Step-by-step explanation:

The radius is always half of the diameter, and the diameter is 6 inches.

6 divided by 2 is 3, so the radius of this circle is 3 inches.

The formula for circumference of a circle is :

C = 2πr = 2 · π · 3 ≈ 18.84956

The circumference of a circle is about 18.85 inches.

Answer:

Step-by-step explanation:

Soooo, angle 1 is 157 degrees

That means:

Angle 2 is 23 degrees                                   Supplementary Angles

Angle 3 is 157 degrees                                  Vertical Angle to Angle 1

Angle 4 is 23 degrees                                   Vertical angle to Angle 2

Answers:

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

Explanation:

Angles 1 and 2 are supplementary as they form a straight line. So the angles add to 180

(angle1)+(angle2) = 180

angle2 = 180-(angle1)

angle2 = 180-157

angle2 = 23 degrees

Angle 4 is congruent to this because angles 2 and 4 are vertical angles. Vertical angles are always congruent. Note how angles 1 and 4 are supplementary.  

Since angles 1 and 3 are the other pair of vertical angles, this must mean angle 3 is 157 degrees.

Answer:

Last month the grocery store sold 578.88 gallons of ice cream and 632.8 pounds of broccoli.

Step-by-step explanation:

Since a grocery store manager notices that this month her store sold a total of 521 gallons of ice cream, which represents a decrease of 10% from last month, and on the other hand, her store sold 791 pounds of broccoli this month, which It represents an increase of 25% from last month, to determine how much ice cream and broccoli did the store sell last month, the following calculation must be performed:

Ice cream = 100 - 10 = 90

90 = 521

100 = X

100 x 521/90 = X

52,100 / 90 = X

578.88 = X

Broccoli = 100 + 25 = 125

125 = 791

100 = X

100 x 791/125 = X

79,100 / 125 = X

632.8 = X

Therefore, last month the grocery store sold 578.88 gallons of ice cream and 632.8 pounds of broccoli.

Answer:

(3x + 4)^2

Step-by-step explanation:

9x^2 + 24x + 16

Let's use middle term break method to factor this polynomial.

In Quadratic Factorization using Splitting of Middle Term which is x term is the sum of two factors and product equal to last term. Factor each pair by finding common factors.

we nee two number which give 144 wh3n multiplied and 24 when added.So, 12 and 12 is the number because 12*12=144 and 12+12=24.

9x^2 + (12+12)x +16

9x^2 +12x +12x +16

take common

3x(3x + 4) +4(3x +4)

take (3x + 4) as common

(3x +4)(3x*1 +4*1)

(3x +4)(3x +4)

(3x +4)^2

Answer:

2 (17+12x)

Step-by-step explanation:

See image below:)

Answer:

Step-by-step explanation:

5x + 150 = 180

5x = 30

x = 6

Hope this help!!!

Have a nice day!!!

Answer:

The average rate of change is 28.57

Step-by-step explanation:

Given

See attachment for graph

Required

The average rate of change from 0 to maximum profit

At 0, we have:

[tex](x_1,y_1) = (32,0)[/tex]

At maximum, we have:

[tex](x_2,y_2) = (60,800)\\\\[/tex]

The average rate of change (m) is calculatd as:

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

So, we have:

[tex]m = \frac{800 - 0}{60 - 32}[/tex]

[tex]m = \frac{800}{28}[/tex]

[tex]m = 28.57[/tex] --- approximated

Answer:

Kindly check explanation

Step-by-step explanation:

When certain variables are examined, there seems to be a sort of spurious relatuoshipnornassocuation between the two variables, this is evident in the relationship between churches and the number of homicide, when a strong positive correlation is observed between number of churches and number of homicides, this relationship is most likely to be due to the effect of a lurking or third variable which creeped into our analysis, a factor which has a posithe correlation on both number of churches and homicide level, Number of homicide and number of churches could have been correlated by the lncreasing population which may lead to overcrowding and competition Hence increasing rate of homicide, similarly, with high rise in population, the growth of church to accommodate the populees will also creep in.

Answer:

Step-by-step explanation:

sorry im not sure

Answer:

$4800

Step-by-step explanation:

SI=PRT DIVIDED BY 100..

So it is going to be 400×2×6 divided by 100 which will be 4800