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kkurt [141]
2 years ago
6

What’s an equation that passes through the ordered pair (3,7)and has a slope of -4

Mathematics
1 answer:
natita [175]2 years ago
6 0

For this case we have that by definition, the equation of the line of the slope-intersection form is given by:

y = mx + b

Where:

m: It is the slope of the line

b: It is the cut-off point with the y axis

According to the statement data we have:

m = -4\\(x, y) :( 3,7)

Then, the equation is of the form:

y = -4x + b

We substitute the given point and find "b":

7 = -4 (3) + b\\7 = -12 + b\\7 + 12 = b\\b = 19

Finally, the equation is of the form:

y = -4x + 19

Answer:

y = -4x + 19

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NewPop produces their brand of soda drinks in a factory where they claim that the
Citrus2011 [14]

Answer:

a) 14960 bottles

b) 502 bottles

Step-by-step explanation:

Given that:

Mean (μ) = 24 ounces, standard deviation (σ) = 0.14 ounces

a) From empirical rule (68−95−99.7%) , 68% of the population fall within 1 standard deviation of the mean (μ ± 1σ).

Therefore 68% fall within 0.14 ounces of the mean

the number of bottle =  22,000*68% = 14960 bottles

b) To solve this we are going to use the z score equation given as:

z=\frac{x-\mu}{\sigma} where x is the raw score = 23.72

z=\frac{x-\mu}{\sigma}=\frac{23.72-24}{0.14} =-2

From the normal probability distribution table: P(X < 23.72) = P (Z < -2) = 0.0228

The number of rejected bottles = 22000 × 0.0228 = 502 bottles

8 0
3 years ago
Transformations<br>I need help on this worksheet please.
Neporo4naja [7]

Answer:

Step-by-step explanation:

Question 2

As far as I can see, you got it right. The general transformation for 90 ccw is

(x,y) ===> (-y, x)

What that means is for the x you put in -y changing the sign to the opposite and for the y you put in x and this time you leave the sign alone . The transformation is shown in the left hand diagram.

The two tables are shown below.

Original

  • (1,4)
  • (1,2)
  • (3,2)
  • (3,5)

The transformed table is

  • (-4,1)
  • (-2,1)
  • (-2,3)
  • (-5,3)
  • (-4,1)    This is just to let the program know to close the figure For some reason this did not have lines and if I delete it and put the lines in, I won't be able to upload the new diagram.

===========

Four

This one transforms from (x,y) to (-x,-y) which means where you see an x, you put a - x and where you see a y, you put a minus y. It is the middle frame.

Original

  • (-4,3)
  • (0,3)
  • (-2,0)
  • (-4,3)  Here again, this is just to close the figure.

The transformed figure in red I think is

  • (4,-3)
  • (0,-3
  • (2,0)
  • (4,-3) And this closes the figure as well.

==========

Six

The diagram is on the right

Reflection about the y axis. Here the transformation is (x,y) ====> (-x,y) notice the ys don't change.

  • (-3,0)
  • (-5,-2)
  • (-1,-2)

There is no closure.

Reflection

  • (3,0)
  • (5,-2)
  • (1,-2)

4 0
2 years ago
How do you find the area of a cube measuring 3ft it has 7sides
RUDIKE [14]
3 times 7= 21 times three =63

4 0
3 years ago
Ayo need help
sweet-ann [11.9K]
Is there more information? Because it’s impossible to tell without an average size for the items
5 0
2 years ago
Read 2 more answers
Calculate the area of the equilateral triangle using the formula for area of a regular polygon, and compare it to Bianca’s answe
8090 [49]

The calculated areas of both are the same instead of using the different formulas that are 43. 5 squared unit.

<h3>What is the area of a regular polygon?</h3>

The area of the polygon is the product of half of the apothem of the triangle and perimeter.

The area of the polygon = \frac{1}{2} \times h \times p

The side of the triangle is 10 units.

Apothem of an equilateral triangle

s = \frac{\sqrt{3} a}{6}

s= \sqrt{3} \times 10/6

s = 2.88

Here, a is the side of the triangle.

Thus the apothem of the triangle is 2.9 units.

The perimeter of the equilateral triangle is equal to the three times the sides.

Perimeter of the equilateral triangle ,

P = 3(10)

P = 30

Therefore, the perimeter of the equilateral triangle is 30 units.

The area of the equilateral triangle-

The area of the polygon = \frac{1}{2} \times h \times p

A = 1/2 \times 2.9 \times 30

A = 43.5

Thus the area of the equilateral triangle is 43.5 squared units.

Therefore, The calculated areas of both are the same instead of using the different formulas.

Learn more about the apothem;

brainly.com/question/10580427

7 0
2 years ago
Read 2 more answers
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