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shusha [124]
4 years ago
14

Given: X = r + 2, Y = 2r - 9, and Z = r 2 + 17r + 30. Simplify [X · Y - Z] ÷ X.

Mathematics
1 answer:
ale4655 [162]4 years ago
7 0
( (r+2) * (2r-9)-(r^2+17r+30) )/(r+2)

none of the parenthetical operations or power operations can be simplified further, so multiplication and division first, left to right:

(2r(r+2) -9(r+2) - r^2 + 17r +30)/(r+2)

(2r^2 + 2r -9r+18 -r^2 +17r +30 )/(r+2)

(r^2 +10r +48)/(r+2)


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Which point-slope equation represents a line that passes through (3, â€"2) with a slope of negative startfraction 4 over 5 endfr
Feliz [49]

The required equation of a line is y = 9/5 (4x - 12)

Given-

The point from which the line passes through is (3,2)

The slope of the given line m is -4/5.

Equation of the line

The linear equation of a line can be represented by a set of points on a graph using the equation of the line.

The standard form of the line passing through the point x₁, y₁

The slope m is given by,

m = (y - y₁) / (x - x₁)

Put the values of points and slope in the above equation, we get,

-4/5 = (y - 2) / (x - 3)

-4/5(x - 3) = y -2

-4x/5 + 12/5 = y - 2

-1/5 (4x - 12) + 2 = y

y = 9/5 (4x - 12)

The linear equation of a line can be represented by a set of points on a graph using the equation of the line. The following equation depicts a line that crosses (3, 2) and has a slope of -4/5: y = 9/5 (4x - 12)

Learn more about equation of line here;

brainly.com/question/26078619

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5 0
1 year ago
In a study of variation in systolic blood pressure upon application of leaches, it is found that the standard deviation of the 2
kondor19780726 [428]

Answer:

Test statistic is [(n - 1) *S^2  ]/    σ ^2 = [(22 - 1) *(3.9)^2  ]/    (3.4) ^2

with 21 degrees of freedom

Yes this data fits at the 10% level of significance,  so  I would not reject that statistic  of 3.9 mmHg  as a wrong standard deviation

Step-by-step explanation:

use the expression I attached in the image to find

[(n - 1) *S^2  ]/    σ ^2

where S = the standard deviation calculated from the sample of n  trials.

sigma is the population standard deviation.

[(22 - 1) *(3.9)^2  ]/    (3.4) ^2  =  21 * 15.21 / 11.56  =  27.6306

all we have to do now is to  make sure this number is in the  90 % confidence

interval.      remember this has 21 degrees of freedom,  look at the chi-squared chart.

11.5913  <   27.6306    <  32.67905

where 11.5913  is the lower bound of the chart

and  32.67905 is the upper bound

6 0
3 years ago
A store has apples on sale for $20.00 for 8 pounds. If an apple is approximately 5 ounces, how many apples can you buy for $80.0
torisob [31]

Answer:

In $80.00 , we get 102 apples.

Step-by-step explanation:

As given, 8 pound apples costs = $20.00

so,

If we double the cost given , then we get double the times of apple given

⇒ we get 16 pound apple for = $40.00

Again, double the cost , gets double the apple

⇒ we get 32 pound apple for = $80.00

As,

1 pound= 16 ounces

⇒32 pound apple = 32×16 = 512 ounces

Now,

given that

1 apple = 5 ounces

⇒5 ounce = 1 apple

⇒1 ounce = \frac{1}{5} apple

⇒512 ounces = \frac{1}{5} ×512 = 102.4 ≈ 102 apples

∴ we get

In $80.00 , we get 102 apples.

4 0
3 years ago
What are the angles of a triangle with side lengths of 9.66, 12, and 15.4. One of the angles is 90 degrees.
Ira Lisetskai [31]
The angles would be 38.85, 51.19, and 90.  I attached a picture showing the steps.

6 0
4 years ago
Carlos has saved $19.80. Shaq saved 5/6 of the amount that Carlos saved. Deontae saved 4 times as much as shaq. What is the tota
storchak [24]
102.30this is your answer to your question
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