MATHEMATICS HIGH SCHOOL

Find the product.

(n + 7)(n - 2)

Answers

Answer 1

Answer: (n + 7) (n - 2)
n(n - 2) + 7(n - 2)
n^2 - 2n + 7n - 14
n^2 + 5n - 14

Answer 2

Answer:

Answer:

n^2 + 14n + 49

Step-by-step explanation:

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Simplify a - {b - [c - (d - e) - f] - g}.a + b + c - d + e - f + g
a - b + c - d + e - f + g
a + b + c + d + e - f + g
a - b + c - d + e + f - g

Answers

Answer:

$a - b + c - d + e - f + g$

Step-by-step explanation:

We know that,

(-)(-) = (+),

(-)(+) = (-),

(+)(-) = (-)

(+)(+)=(+)

Now,

Here, the given expression is,

$a - \{b - [c - (d - e) - f] - g\}$

$a-\{b-[c-d+e-f]-g\}$

$a-\{b-c+d-e+f-g\}$

$a-b+c-d+e-f+g$

Hence, Second option is correct.

a - {b - [c - (d - e) - f] - g}
= a - {b - [c - d + e - f] - g}
= a - {b - c + d - e + f - g}
= a - b + c - d + e - f + g.
so ur answer is the third one C there all equivalent so the last one is the answer choice so there u go

What is the sum of 17 and a difference of 3?

Answers

I think you meant: Which TWO NUMBERS are the sum of 17 and have a difference of 3?

Well, it's simple: Guess and check.
The two numbers must be bigger than 3 and smaller than 17. Hmm...

So, you can conclude 10 and 7, b/c 10+7 is 17 and 10-7 is 3.

Which three-dimensional figures have lateral faces that are polygons? Check all that apply

Answers

Question:

Which three-dimensional figures have lateral faces that are polygons? check all that apply.

- cones

- cylinders

- hemispheres

- prisms

- pyramids

- spheres

Answer:

The correct choices are;

- prisms and

- pyramids

Step-by-step explanation:

A polygon is a figure closed or bounded with several straight line segments and polygons are named based on how many sides, side size and sizes of angles that they have present.

A three sided polygon for example is called a triangle

A lateral face are the faces of a prism except the base

Based on the definitions, we note that out of the options, only prisms, and pyramids have lateral faces that are made up entirely of straight line segments, hence polygons. Therefore, the correct choices are prisms and pyramids.

Answer:

Actually the correct is Cylinders, Prisms, and Pyramids. I just did it

Step-by-step explanation:

What is the factored form of 8x2 + 12x?A.4(4x2 + 8x)
B.4x(2x + 3)
C.8x(x + 4)
D.8x(x2 + 4)

Answers

the factored form is B. 4x(2x+3)

1/x-1 - 3/x+2 = 1/4

solve to find x

Answers

$(1)/(x-1)-(3)/(x+2)=(1)/(4)\n \n (x+2-3(x-1))/((x-1)(x+2))=(1)/(4)\n \n (x+2-3x+3)/((x-1)(x+2))=(1)/(4)\n \n (5-2x)/(x^2+x-2)=(1)/(4)\n \n 4(5-2x)=x^2+x-2\n \n 20-8x=x^2+x-2\n \n \boxed{x^2+9x-22=0}$

Solvin this quadratic equation with Bhaskara formula we find:

x = -11 or x = 2

$(1)/(x-1) - (3)/(x+2) = (1)/(4) \ /\cdot 4(x-1)(x+2)\n\n(4(x-1)(x+2))/(x-1) - (3\cdot 4(x-1)(x+2))/(x+2) = (4(x-1)(x+2))/(4)\n\n4(x+2)-12(x-1)=(x-1)(x+2)\n\n4x+8-12x+12=x^2+2x-x-2\n\n-8x+20=x^2+x-2\n\n-x^2-9x+22=0\ /\cdot(-1)\n\nx^2+9x-22=0\ \ \ \Rightarrow\ \ \ x^2+11x-2x-22=0\n\nx(x+11)-2(x+11)=0\n\n(x+11)(x-2)=0\ \ \ \ \ \Leftrightarrow\ \ \ (x+11=0\ \ \ or\ \ \ x-2=0)\n\nx=-11\ \ \ or\ \ \ x=2$

Amelia used 19/20 pounds of flour to bake a cake. Write the quantity of flour she used in ____ decimal form. The decimal quantity of the flour Amelia used to bake the cake is pound.