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Bezzdna [24]
3 years ago
9

How do you solve linear equations by subsitutions

Mathematics
1 answer:
TiliK225 [7]3 years ago
5 0
1) First, solve one linear equation for y in terms of x .

2) Then substitute that expression for y in the other linear equation.

3)Solve this, and you have the x -coordinate of the intersection.

4)Then plug in x to either equation to find the corresponding y -coordinate.


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Can someone answer this????????????????????????
Goryan [66]

Answer:

x=4

Step-by-step explanation:

8 0
3 years ago
2. Factor f(x) = x4 + 10x3 + 35x2 + 50x + 24 completely showing all work and steps with synthetic division. Then sketch the grap
telo118 [61]

We need to use rational root theorem to find out roots here.

The rational root theorem states that if p(x) is a polynomial with integer coefficients and if \frac{p}{q} is a zero of p(x) then p is a factor of constant term and q is a factor of leasing term coefficient.

Here factors of constant term are 1,2,3,4,6,8,12,24,-1,-2,-3,-4,-6,-8,-12, and -24.

And factors of leading coefficient is -1,1.

Hence possible roots may be -1,1,-2,2,-3,3,-4,4,-6,6,-8,8,-12,12,-24 and 24.

Let us plugin these in f(x) to find zeroes.

f(-1)=(-1)^{4}+10(-1)^{3}+35(-1)^{2}+50(-1)+24 =1-10+35-50+24=0

Hence x=-1 is a zero which means x-(-1)=x+1 is a factor.

Let us use synthetic division to find quotient.

-1 | 1  10  35  50  24

  <u>| 0  -1  -9  -26   -24</u>

   <u> 1    9  26  24    0</u>

Hence quotient is x^{3} +9x^{2} +26x+24

Since all coefficients are positive, root must be negative. Let's plugin all remaining negative numbers in the quotient.

(-2)^{3}+9(-2)^{2}+26(-2)+24 = 0

Hence x+2 is another factor.

Let us find quotient again using synthetic division.

-2 | 1   9  26   24

   <u>| 0  -2  -14   -24</u>

   <u>  1    7    12     0</u>

Hence quotient is x^{2} +7x+12

Again we got quotient with all positive coefficients, let us plugin remaining negative numbers from rational root theorem.

(-3)^{2}+7(-3)+12=-9-21+12=0

Hence x+3 is also a factor.

Let us find quotient using synthetic division.

-3 | 1  7  12

   <u>| 0 -3  -12</u>

    <u> 1    4    0</u>

Hence quotient is x+4.

So, f(x)=x^{4}+10x^{3}+35x^{2}+50x+24 =(x+1)(x+2)(x+3)(x+4)

Please have a look at the graph attached.

4 0
3 years ago
Find the value of Z please help
JulijaS [17]
I think it is 1 because it is smaller than 1.5 so it would have to be 1
4 0
3 years ago
A letter of application is intended to     
Travka [436]
I found the options online. I will state them and provide the answer. 

OPTIONS 
<span>A. find out what the prospective employer has to offer.
B. outline your value to a prospective employer.
C. accompany your portfolio.
D. remind the prospective employer of your recent interview.
</span>
ANSWER.
A letter of application is intended to outline your value to a prospective employer (option B)  It is also known as a cover letter. It might be considered a job application which you send together with your CV to provide additional info about you. 


8 0
3 years ago
Write a polynomial equation of least degree with roots 2, -1 and 4.
Rasek [7]
A polynomial with roots a and b is (x - a)(x - b).

(x - 2)(x - (-1))(x - 4) = 0

(x - 2)(x + 1)(x - 4) = 0

has roots 2, -1, and 4.
3 0
3 years ago
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