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3 years ago

Find the slope for the following coordinates: (3, -7) and (6, 5)

1 answer:

6 0

$\bf (\stackrel{x_1}{3}~,~\stackrel{y_1}{-7})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{5}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{5}-\stackrel{y1}{(-7)}}}{\underset{run} {\underset{x_2}{6}-\underset{x_1}{3}}}\implies \cfrac{5+7}{3}\implies \cfrac{12}{3}\implies 4$

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n automobile manufacturer claims that its van has a 37.4 miles/gallon (MPG) rating. An independent testing firm has been contrac

JulsSmile [24]

Answer:

Then z(s) is out of the acceptance region, we reject H₀, doubts of the independent testing firm are valids

Step-by-step explanation:

We will develop a Hypothesis Test ( a 2 tail test since the independent testing firm is interested in finding out if there is an incorrect MPG rating from the manufacturer

Test Hypothesis :

Null hypothesis H₀ μ = μ₀

Alternative Hypothesis Hₐ μ ≠ μ₀

Significance Level α = 0,05 α/2 = 0,025

z(c) for α/2 from z-table z(c) = - 1, 96 and by symmetry z(c) = 1,96

Calculating z(s)

z(s) = ( μ - μ₀ ) / σ /√n

z(s) = ( 37,8 - 37,4 ) / 2,3 /√280

z(s) = 0,4 * 16,73 / 2,3

z(s) = 2,90

Comparison between z(c) and z(s)

z(s) > z(c) 2,90 > 1,96

Then z(s) is out of the acceptance region, we reject H₀, doubts of the independent testing firm are valids

8 0

3 years ago

If f(x) is a third degree polynomial function and g(x) = f(–2x), which of the following is NOT true?

valina [46]

Answer:

f(x) and g(x) have the same x-intercepts (is <em>not true</em>)

Step-by-step explanation:

g(x) is a reflection across the y-axis and a horizontal compression of f(x). In general those transformations will move the x-intercepts. (The y-intercept and the number of x-intercepts will remain unchanged.)

_____

<em>Comment on the question/answer</em>

f(x) = x^3 is a 3rd degree polynomial. When transformed to g(x) = -8x^2, its only x-intercept (x=0) remains the same. The answer above will not apply in any instance where the only x-intercept is on the line of reflection. (The question is flawed in that it does not make any exception for such functions.)

8 0

3 years ago

I dont understand and this is very urgent so can someone help me out please?

wariber [46]

Answer:

Please Find the solution below

Step-by-step explanation:

Let us say the two equations are

x+y=5 --------------(A)

x-y=1 -------------(B)

Let us solve them for x and y by adding them

2x=6

x=3

Hence from (A)

3+y=5

y=2

Hence our solution is

x=3, y=2

Adding same number to equation (A) say 2 we get

x+y+2=5+2

x+y=5+2-2

x+y=5

Hence equation remains the same while adding same number to each side.

Same thing happens if we add same number to equation (B)

Hence we draw the conclusion that the solution remains the same if same number is added to each side of the original equation.

6 0

4 years ago

PLEASE HELP! I will give you the brainiest and A LOT of points! (Ch.5.3)

bearhunter [10]

Answer:

Multiplier = 1.75x (7/4).

7/8 cups butter, 4 and 3/8 ounces chocolate, 1 and 3/4 cups sugar, 7/8 teaspoons vanilla, 3 and 1/2 eggs (4 if rounded!), 1 and 5/16 cups flour.

Step-by-step explanation:

The ingredient list is for 16 brownies, but you need to make 28. This means you have to make 1.75x the amount (28/16), so all ingredient quantities need to be multiplied by 7/4 (1.75 in fraction form).

Butter: 1/2 * 7/4 = 7/8 cups

Chocolate: 5/2 * 7/4 = 4 and 3/8 ounces

Sugar: 1 * 7/4 = 1 and 3/4 cups

Vanilla: 1/2 * 7/4 = 7/8 teaspoons

Eggs: 2 * 7/4 = 3 and 1/2 eggs (if rounded, 4, as 3.5 rounds up)

Flour: 3/4 * 7/4 = 1 and 5/16 cups

3 0

3 years ago

(5x+1)(5x-1) combine terms

Alinara [238K]

Answer:

25x^2 -1

Step-by-step explanation:

If you multiply parentheses:

(5x*5x) + (5x*-1) + (1*5x) + (1*-1)

25x^2 - 5x + 5x -1

25x^2 -1

A simpler way is to memorize this formula

(Square1 - square2)= (sqrt of square1- sqrt of square2)*(sqrt of square1 + sqrt of sqaure2)

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4 years ago