MATHEMATICS MIDDLE SCHOOL

Find the axis of symmetry and the vertex of the graph of f(x) = -5x^2 +20x -9.

Answers

Answer 1
Answer:

Answer:

Axis of Symmetry:

x=2

Vertex:

(2,11)

Step-by-step explanation:

Finding the derivative:

f'(x)=-10x+20

Setting the slope equal to zero:

-10x+20=0      x-2=0    x=2

Finding vertex:

f(2)=-5*(2)^2+20*2-9

=-20+40-9=20-9=11

(2,11)

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What is the value of 7P7?

A. 1
B. 14
C. 49
D. 5040

Answers

The answer is
D. 5040

The value of ₇P₇ or P(7, 7) is 5040 after using the permutation formula option (D) 5040 is correct.

What are permutation and combination?

A permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.

We have:

= ₇P₇

Here P represents the permutation:

We can calculate the value of ₇P₇ using the formula:

P(n, r) = n!/(n - r)!

n = 7

r = 7

Plug the above values in the formula:

₇P₇= P(7, 7) = 7!/(7 - 7)!

₇P₇ = 7!/(0)!

₇P₇ = 7!

₇P₇ = 7×6×5×4×3×2×1

The above represents a mathematical operation, Now multiply all the numbers.

₇P₇ = 5040

Thus, the value of ₇P₇ or P(7, 7) is 5040 after using the permutation formula option (D) 5040 is correct.

Learn more about permutation and combination here:

brainly.com/question/2295036

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The GCF of any two even numbers is always even. Determine whether the statement is true or false. If true, explain why. If false, give a reason.

Answers

The question is asking us whether it is true that The GCF of any two even numbers is always even. GDF means the greatest common factor, for example the GCF of 24 and 32 is 8 - it's the biggest of their factors. The GCF is a multiple of all the (prime) common factors, and 2 is a common factor of two even numbers, so GCF will always be even - this is true!
It is true that the GCF of any two even numbers is always even. GCF refers to the greatest common factor that two or more numbers have, and obviously it is going to be an even number. Take 18, 30, and 42 as your example - their GCF will be 6, which is an even number, as are those three numbers. GCF of odd numbers will be odd, and GCF of an odd and even number is also always even.

I made up of six congruent squares attached by their side of form a t. what net am i

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the shape the net forms is a cube 

Photo above! How do I find the area of this?

Answers

Area of the figure=area of the square - area of the rectangle 1 - area of the rectangle 2.

Area of the square=side x side=12 * 12 =144
Area of the rectangle 1=8 *5=40
Area of the rectangle 2=5 * (12-8)= 5 * 4=20

Area of the figure=144 - 40 -20=84

Answer : 84
Well, the formula to find the area of something is base times height, so you'll have to multiply the base and height at the bottom, which is 12 times 12 which is 144, and then find the area of the missing/cut-out piece which is 8 times 5 which will be 40, and then subtract the two areas, (144 - 40), which will give you your final area of 104 square inches.
I hope I helped! =D

PLEASE HELP I GIVE THANKS

Answers

it is (C) because the line is ZERO meaning the line is vertical and since it goes through 5, it is y=5 cuz u always have the formula for slope; y=mx+b and since there is o x intercept you just stick with the y intercept which is 5 so long story short, it is y=5 (c)

A house on the land measures 45 feet by 38 feet,a wooded area covers 118 feet by 60 feet,and the front yard is 78 feet by 40 feet.The remainder of the land is farmed.How many acres of land are farmed?Round to the nearest tenth.Explain your answer.(Hint: 1 acre = 43,560 square feet)

Answers

The figure is composed of 2 shapes. A rectangle and a right triangle.

Area of the Rectangle = 600 ft * 200 ft = 120,000 ft²
Area of the right triangle = (600 ft * 450 ft)/2 = 270,000 / 2 = 135,000 ft²

Total area = 120,000 ft² + 135,000 ft² = 260,000 ft²

Area of the house = 45 ft * 38 ft = 1,710 ft²
Area of the woods = 118 ft * 60 ft = 7,080 ft²
Area of the front yard = 78 ft * 40 ft = 3,120 ft²

Area of farmed land = 260,000 - 1,710 - 7,080 - 3,120 = 248,090 ft²

248,090 ft² * 1acre/43,560 ft² = 5.695 acres
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Becky and Tommy are asked to solve −4x − 25 = 8x + 15. Identify where one of them made an error. Becky Tommy −4x − 25 = 8x + 15 −4x − 25 − 8x = 8x + 15 − 8x −12x − 25 = 15 −12x − 25 + 25 = 15 + 25 −12x = 40 Negative 12x over 40 equals 40 over 40 x=negative three-tenths −4x − 25 = 8x + 15 −4x − 25 + 4x = 8x + 15 + 4x −25 = 12x + 15 −25 − 15 = 12x + 15 − 15 −40 = 12x negative 40 over 12 equals 12x over 12 x=negative ten-thirds