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Keith_Richards [23]
3 years ago
7

Use the distributive property to expand the following expression:

Mathematics
2 answers:
devlian [24]3 years ago
7 0

Answer:

49x-21y-6

Step-by-step explanation:

Multiply the number outside of the parentheses by the numbers inside to create the expression.

Explanation:

7 x 7x = 49x

7 x -3y = -21y

and then add the -6 to the end.

KIM [24]3 years ago
4 0

Answer:

This is guess of what the question is asking:

I had got 49x - 21y - 6.

Step-by-step explanation:

7 x 7 is 49 and 7 x 3 is 21.

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Sorting Quadratic Function Discriminants
nataly862011 [7]

The number of zeros of the quadratic functions, considering their discriminant, is given as follows:

  • discriminant = 0: 1 Real number solution.
  • discriminant = -36: 0 Real number solutions.
  • discriminant = 3: 2 Real number solutions.
  • discriminant = 2: 2 Real number solutions.
  • discriminant = 100: 2 Real number solutions.
  • discriminant = -4: 0 Real number solutions.

<h3>What is the discriminant of a quadratic equation and how does it influence the solutions?</h3>

A quadratic equation is modeled by:

y = ax^2 + bx + c

The discriminant is:

\Delta = b^2 - 4ac

The solutions are as follows:

  • If \mathbf{\Delta > 0}, it has 2 real solutions.
  • If \mathbf{\Delta = 0}, it has 1 real solutions.
  • If \mathbf{\Delta < 0}, it has 0 real solutions.

Hence, for the given values of the discriminant, we have that:

  • discriminant = 0: 1 Real number solution.
  • discriminant = -36: 0 Real number solutions.
  • discriminant = 3: 2 Real number solutions.
  • discriminant = 2: 2 Real number solutions.
  • discriminant = 100: 2 Real number solutions.
  • discriminant = -4: 0 Real number solutions.

More can be learned about quadratic functions at brainly.com/question/24737967

#SPJ1

5 0
1 year ago
Use the distributive property to find the product.
VladimirAG [237]

A Is your answer :D        

W^2 + 2W + 3

4 0
3 years ago
Read 2 more answers
A pyramid has a square base of length 8cm and a total surface area of 144cm². Find the volume of the pyramid. (Please use Pythag
Sveta_85 [38]

Answer:

\displaystyle V_{ \text{pyramid}}= 64 \:  {cm}^{3}

Step-by-step explanation:

we are given surface area and the length of the square base

we want to figure out the Volume

to do so

we need to figure out slant length first

recall the formula of surface area

\displaystyle A_{\text{surface}}=B+\dfrac{1}{2}\times P \times s

where B stands for Base area

and P for Base Parimeter

so

\sf\displaystyle \: 144=(8 \times 8)+\dfrac{1}{2}\times (8 \times 4) \times s

now we need our algebraic skills to figure out s

simplify parentheses:

\sf\displaystyle \: 64+\dfrac{1}{2}\times32\times s = 144

reduce fraction:

\sf\displaystyle \: 64+\dfrac{1}{ \cancel{ \: 2}}\times \cancel{32}  \: ^{16} \times s = 144 \\ 64 + 16 \times s = 144

simplify multiplication:

\displaystyle \: 16s + 64 = 144

cancel 64 from both sides;

\displaystyle \: 16s = 80

divide both sides by 16:

\displaystyle \: \therefore \: s = 5

now we'll use Pythagoras theorem to figure out height

according to the theorem

\displaystyle \:  {h}^{2}  +  (\frac{l}{2} {)}^{2}  =  {s}^{2}

substitute the value of l and s:

\displaystyle \:  {h}^{2}  +  (\frac{8}{2} {)}^{2}  =  {5}^{2}

simplify parentheses:

\displaystyle \:  {h}^{2}  +  (4 {)}^{2}  =  {5}^{2}

simplify squares:

\displaystyle \:  {h}^{2}  +  16  =  25

cancel 16 from both sides:

\displaystyle \:  {h}^{2}   =  9

square root both sides:

\displaystyle \:   \therefore \: {h}^{}   =  3

recall the formula of a square pyramid

\displaystyle V_{pyramid}=\dfrac{1}{3}\times A\times h

where A stands for Base area (l²)

substitute the value of h and l:

\sf\displaystyle V_{ \text{pyramid}}=\dfrac{1}{3}\times  \{8 \times 8 \}\times 3

simplify multiplication:

\sf\displaystyle V_{ \text{pyramid}}=\dfrac{1}{3}\times  64\times 3

reduce fraction:

\sf\displaystyle V_{ \text{pyramid}}=\dfrac{1}{ \cancel{ 3 \: }}\times  64\times \cancel{ \:  3}

hence,

\sf\displaystyle V_{ \text{pyramid}}= 64 \:  {cm}^{3}

8 0
2 years ago
Find the radius of a hemisphere with a volume of 106.1 cubic inches. Round to the nearest tenth if necessary.
True [87]

Answer:

Step-by-step explanation:

8 0
2 years ago
What is the value of f(7.5) when f(x)=2x+7
Ivan

Hey there!!

Given :

f ( x ) = 2x + 7

Find f ( 7.5 )

Now, we will need to substitute the value of 7.5 in place of x

f(7.5) = 2(7.5) + 7

f(7.5) = 15 + 7

f(7.5) = 22

Hope my answer helps!


6 0
3 years ago
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