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Leya [2.2K]
2 years ago
11

How do you solve f(x) = x2 + x - 20?​

Mathematics
1 answer:
Darina [25.2K]2 years ago
4 0

\huge \bf༆ Answer ༄

Let's solve ~

{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \: {x}^{2}  + x - 20

{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \: {x}^{2}  + 5x - 4x - 20

{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \:x(x + 5) - 4(x + 5)

{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \:(x + 5)(x -  4)

It's factorized now ~ And if you want to find the zeros then equate the expression with 0.

And you will get ;

{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \:x =  - 5 \:  \: and \:  \: 4

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I need this pls helpp
alexandr1967 [171]

Answer:

m∠7 = 63 degrees

m∠8 = 117 degrees

m∠9 = 63 degrees

Step-by-step explanation:

When two lines intersect at a point, then they formed 2 pairs of vertically opposite angles and 4 pairs of linear angles

  • The vertically opposite angles are equal in measures
  • The linear angles have a sum of 180°

In the given figure

∵ There are two lines intersected at a point

∴ The angle of measure 117° and ∠8 are vertically opposite angles

∴ ∠7 and ∠9 are vertically opposite angles

∴ The angle of measure 117° and ∠7 are linear angles

∵ The vertically opposite angles are equal in measures

∴ The angle of measure 117° and ∠8 are equal in measures

∴ m∠8 = 117°

∵ The sum of the measures of the linear angles is 180°

∴ m∠7 + 117° = 180°

→ Subtract 118 from both sides

∵ m∠7 + 117 - 117 = 180 - 117

∴ m∠7 = 63°

∵ m∠7 = m∠9 ⇒ proved up

∴ m∠9 = 63°

3 0
3 years ago
Please answer this question! 20 points and brainliest!
elena-s [515]

The degree of a polynomial is the largest exponent on the variable.


For the given problem there is only one term with an exponent: 5x^2.

The exponent is 2, so the degree would be 2.




4 0
3 years ago
Read 2 more answers
Write these series with summation notation. 1,4,9,16...
maksim [4K]

Answer:  \sum\limits_{i=1}^{n} n^2 , where n is a natural number.

Step-by-step explanation:

A series can be represented in a summation or sigma notation.

Greek capital letter, ∑ (sigma), is used to represent the sum.

For example: \sum\limits_{n=1}^{\infty} n=1+2+3+4+5+..., where n is a natural number.

The given series : 1,4,9,16 which can be written as 1^2, 2^2, 3^2,... .

So , we can write it as

\sum\limits_{n=1}^{\infty} n^2 , where n is a natural number.

7 0
3 years ago
Perform the operation. Enter your answer in scientific notation.<br><br><br> 3.2 × 107 + 7.2 × 108 =
almond37 [142]

Answer:

1, 120

Step-by-step explanation:

    3.2 x 107 = 342.4

                                               

+   7.2 x 108 = 777.6

_____________________

                       1, 120                          

8 0
3 years ago
Read 2 more answers
How to do this question?
diamong [38]

Remark

Drawing that diagram was a very good idea. If you can picture something happening, you are half way there. I tend to use a table, but the diagram will come to the same thing.

                  Olivia                    Dawn

Start            176                         80

<u>Donate         x                             x      Subtract</u>

What's left   176 - x                  80 - x

Equation

176 - x = 5*(80 - x)     Olivia had 5 times as many books as Dawn did.   Remove the brackets.      

Solution

176 - x = 400 - 5x                 Add 5x to both sides

176 + 5x - x = 400                  Combine terms on the left

176 + 4x = 400                    Subtract 176 from both sides

4x = 400 - 176                     Combine terms on the right.

4x = 224                              Divide by 4

x = 224/4    

x = 56                                 Answer

3 0
3 years ago
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