MATHEMATICS MIDDLE SCHOOL

Find the function rule.x = -2  -1   0  1  2
y=   9   4  -1  -6 -11

Please help!! 10 pts.

Answers

Answer 1
Answer: Finally figured it out :D

The function rules is:
y = -5x - 1  


9 = -5(-2) - 1
4 = -5(-1) - 1
-1 = -5(0) - 1
-6 = -5(1) - 1
-11 = -5(2) - 1

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HeLP ME WITH THIS PLEASE!!!!!!
The area of the base of a prism is 24 mm2. The perimeter of the base is 22 mm. The height of the prism is 5 mm.What is the surface area of the prism?
If a function f is continuous for all x and if f has a relative maximum at (-1, 4) and a relative minimum at (3, -2), which of the following statements must be true? (a) The graph of f has a point of inflection somewhere between x = -1 and x= 3 (b) f'(-1) = 0 (c) this is wrong (d) The graph of f has a horizontal tangent line at x = 3 (e) The graph of f intersects both axes - Correct answer I understand why e is correct, but I do not get why a, b, and d are all wrong. Aren't b and d to be expected since they are relative max/min's? I also can't imagine a case in which "a" is incorrect. Can someone explain why they are wrong? Thank you!
The area of a triangle is 33.6 square inches. If the height of the triangle is 4 inches, what is the length of the base? In inches.
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What's 80÷7 I need this answer fast thank you it's for 65 points

Answers

In order to solve this, we must find out how many times 7 goes into 80. We can do this by either subtracting individual 7s from 80, or by adding 7s together until we cannot add another without going past 80.

For this answer, I will use the addition method.

7 + 7 = 14

14 + 7 = 21

21 + 7 = 28

28 + 7 = 35

35 + 7 = 42

42 + 7 = 49

49 + 7 = 56

56 + 7 = 63

63 + 7 = 70

70 + 7 = 77

From 77, we cannot add another 7 to it without going over 80, since 77 + 7 = 84.

So, let's count the sevens that we have added up so far, and when we do, we can see that there are 11 of them, adding up to 77.
So 7 goes into 80 11 times. Now, let's find the remainder...

To find the remainder, you just need to subtract the final added number from the number you are dividing from.

80 - 77 = 3

80 / 7 = 11, remainder 3
Hope that helped! =)
80 divided by 7 equals 11.4285714286

The figure is made up of a square and a rectangle. Find the area of the shaded region

Answers

first we do
squaer is legnth 6 so base =6
10-6=4
the rectnalge is 2 by 4
base=4


squaer is 6 by 6
rectangle is 4 by 2
split the triangles up
area of triangle=1/2base times height

rectangle triangle base=4
height=2, area=1/2 times 2 times 4=4

squaer triangle
flip 90 degrees clockwise so we have base=2
height=6
area=1/2 times 2 times 6=6

add
4+6=10
total area=10m^2

Answer:

10

Step-by-step explanation:

The circumference of the earth is approximately 131,000,000ft write this number in scientific notation and tell how you knew to use a positive or a negative exponent

Answers

U use a negative exponent to write a number smaller than 1, positive exponents are used to write numbers bigger than 1. clearly 131,000,000 is bigger than 1 so we use a postive exponent. there's always a decimal at the end of a whole number. and we move that decimal to the front where the fron value is more thnand one but less than 10. we move the decimal 8 places to the left and u get to 1.31X10^8
1.31 times 10 to the 8th power.

What is the ratio 12 to 63 written as a fraction in lowest terms?

Answers

written in simplest terms its 4/21

Answer: A. 4/7 B. 3/7 C. 12/63 D. 4/21

Monte performs an experiment using 2 identical graduated cylinders with a radius of 2 cm. The volume of the liquid in the first graduated cylinder is 188.4 cm3. The volume of the liquid in the second graduated cylinder is 314 cm3.What is the difference in the height of the liquid in the two cylinders?

Use 3.14 to approximate pi.

Answers

Answer:

The difference of height is 10 cm

Step-by-step explanation:

Monte performs an experiment using 2 identical graduated cylinders with a radius of 2 cm.

The volume of the liquid in the first graduated cylinder is 188.4 cm³

The volume of the liquid in the second graduated cylinder is 314 cm³

Let height of first graduated cylinder be h₁ and radius (r) = 2 cm

Let height of second graduated cylinder be h₂ and radius (r) = 2 cm

Formula:

\text{Volume of cylinder}=\pi r^2h

\text{Volume of 1st cylinder}=\pi\cdot 2^2h_1

188.4=3.14\cdot 2^2\cdot h_1

h_1=15 cm

\text{Volume of 2nd cylinder}=\pi\cdot 2^2h_2

314=3.14\cdot 2^2\cdot h_2

h_2=25 cm

The difference in the height of the liquid in two cylinder,

\Rightarrow h_2-h_1

\Rightarrow 25-15

\Rightarrow 10 cm

Hence, The difference of height is 10 cm
Volume of a cylinder of radius r, height h : V=\pi*r^2*h

hence the height of the liquid in the first cylinder is h1=(188.4)/(2^2\pi)=15 cm, and in the second cylinder h2=(314)/(2^2\pi)=25 cm

Hence the difference is h2-h1=25-15=10 cm

the Quade family drove 920 miles in 3 days they drove the same number of miles the first 2 days and then drove 50 miles the third day how many miles did they drive the first two days

Answers

920 - 50

870 / 2 = 435

435 miles
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