connor is using a computer program to graph the function H(n)= -13n - 421. He wants to see the intercepts. Which minimum values should he use to set up the viewing window?

Answers

Answer 1

Answer:
I can't see any slick, easy way to tell without finding
the intercepts, so here goes:

The y-intercept is the value of   H(n) when 'n' is zero.

H(0) = -13(0) - 421

      = - 421 .

The n-intercept is the value of 'n' when H(n) is zero.

0 = -13n - 421

Add 13n to each side: 13n = - 421

Divide each side by 13 :    n = - 421/13 = - 32.4...

Connor should set up the viewing window so that 'n' displays
at least down to - 33 , and H(n) displays at least down to - 421 .

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Scientific notation 2/10=?and 12 thousandth =? show the work.
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What does 1/2 and 2/8 =
Select all the equations that are equivalent to this equation.1/4 (8x + 56) = 20 1; 56 + 8x = 80 2; 14 = 20 – 8x 3; 2x + 14 = 5 4: 2x = 65: x = 3

24 % of 175 calculate this

Answers

Answer:

24/100x175 = 42

Step-by-step explanation:

24/100x175 = 42

Bryan purchased two triangular wall shelves. The sides of each shelf are 8 inches, 10 inches, and 12 inches. He's trying to build a similar, larger triangular shelf to hang between the smaller ones. Which of the dimensions can Bryan use for the larger shelf so that it is similar to the ones he purchased? Justify why the three triangles are similar.A) 4 inches, 5 inches, and 6 inches; All of the side lengths of the smaller triangles have been multiplied by 1/2 which guarantees side-side-side similarity
.
B) 16 inches, 20 inches, and 24 inches; All of the side lengths of the smaller triangles have been multiplied by 2, which guarantees side-side-side similarity.
C) 16 inches, 20 inches, and 24 inches; All of the side lengths of the smaller triangles have been multiplied by 2, which guarantees side-angle-side similarity.
D) 16 inches, 20 inches, and 24 inches; All of the side lengths of the smaller triangles have been multiplied by 2, which guarantees angle-angle-side similarity.

Answers

The correct answer is letter B) 16 inches, 20 inches, and 24 inches; All of the side lengths of the smaller triangles have been multiplied by 2, which guarantees side-side-side similarity. Similar angles shows congruence when their sides are proportional.

Answer:

(B) 16 inches, 20 inches, 24 inches; All the side lengths of the smaller triangles have been multiplied by 2, which guarantees side-side-side similarity.

Step-by-step explanation:

The sides of the triangular wall shelves are given as 8 inches, 10 inches and 12 inches. In order to build a larger, similar triangle he must multiply the sides of the triangle wall by 2 so that it follows the similarity conditions,that is:

$(16)/(8) =(20)/(10)=(24)/(12) =(2)/(1)$

Since, we were given the sides of the triangular wall shelves, therefore the new triangle formed will also be formed of three sides.

Hence, Option (B) is correct in which all the sides of smaller triangles are multiplied by 2 which guarantees side-side-side similarity.

Factor
the expression 3x3 +
2x2y + 3xy2 + 2y3

Answers

$3x^3 +2x^2y + 3xy^2 + 2y^3 =\n \n=x^2(3x+2y) +y^2(3x+2y)=\n \n=(3x+2y)(x^2+y^2)$

Solve the equation -12 = f/0.2 (Thats a fraction)

Answers

-12 = f/0.2

First, we can start out by making our goal to get the variable (f) on one side of the problem by itself. To do this, multiply both sides by 0.2.
$-12 * 0.2 = f$

Second, our next step is to multiply -12 times 0.2. This can be solved in your head, on a piece of paper, on a calculator, etc. (-12 times 0.2 = 2.4).
$-2.4 = f$

Third, our last step will be to switch sides. Basically flip the problem.
$f = -2.4$

Answer: $\fbox {x = -2.4}$

Vincent has already finished 5 oil changes today, and can complete more at a rate of 1 oil change per hour. Warren just came on shift, and can finish 2 oil changes every hour. Sometime during the day, the friends will be tied, with the same number of oil changes completed. How long will that take? How many oil changes will Vincent and Warren each have done?

Answers

Answer:

Oil changes = 5

Vincent = 10 oil changes

Warren = 10 oil changes

Step-by-step explanation:

Vincent = 5 + h

Warren = 2h

Where,

h = number of oil changes

How long will that take?

Vincent = Warren

5 + h = 2h

5 = 2h - h

5 = h

h = 5

Number of oil changes = 5

How many oil changes will Vincent and Warren each have done?

Vincent = 5 + h

= 5 + 5

= 10 oil changes

Warren = 2h

= 2(5)

= 10 oil changes

Use division to find all the whole number ratios equivalent to 168 : 56

Answers

$168|2\n.\ 84|2\n.\ 42|2\n.\ 21|3\n.\ \ 7|7\n.\ \ 1|\n\n56|2\n28|2\n14|2\n.\ 7|7\n.\ 1|$

$168:56=(2\cdot2\cdot2\cdot3\cdot7)/(2\cdot2\cdot2\cdot7)\n\n=(2\cdot2\cdot3\cdot7)/(2\cdot2\cdot7)=\boxed{(84)/(28)}\n\n=(2\cdot2\cdot2\cdot3)/(2\cdot2\cdot2)=\boxed{(24)/(8)}\n\n=(2\cdot3\cdot7)/(2\cdot7)=\boxed{(42)/(14)}\n\n=(2\cdot3)/(2)=\boxed{(6)/(2)}\n\n=\boxed{(3)/(1)}\n\n=(2\cdot2\cdot3)/(2\cdot2)=\boxed{(12)/(4)}\n\n=(3\cdot7)/(7)=\boxed{(21)/(7)}$

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