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Inessa [10]
3 years ago
14

Write an equation in slope-intercept form (y = mx + b).

Mathematics
1 answer:
HACTEHA [7]3 years ago
6 0

Answer:

x=1

Step-by-step explanation:

Anytime there is a vertical line, the y value becomes infinite as the line goes on forever. The only restriction on the line is on the x value of your coordinate. The same goes for a horizontal line, only the x value would become infinite and the y value would be constant.

Vertical Line: (x,∞)

Horizontal Line: (∞,y)

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Count the units from (2,4) to (-2,-6).How many blocks are between Jenna’s apartment and Zac’s house
Mashutka [201]

Answer:

Distance = 10.77 unit (Approx.

Step-by-step explanation:

Given:

Coordinate of Jenna's house = (2,4)

Coordinate of Zac's house = (-2,-6)

Find:

Distance

Computation:

Distance = √(X1 - X2)² + (Y1 - Y2)²

Distance = √(2 + 2)² + (4 + 6)²

Distance = √(2 + 2)² + (10)²

Distance = √16 + 100

Distance = √116

Distance = 10.77 unit (Approx.

6 0
3 years ago
FREE 100 POINTS!!!!!<br> HURRRYYY!!!!! :D<br> EEEK
Goryan [66]

Answer:

The entire bee movie script

Step-by-step explanation:

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5 0
3 years ago
Read 2 more answers
A negative number is 12 less than it’s square.find the number
butalik [34]

Answer:

A negative number that is 12 less than its square is -3.

Step-by-step explanation:

This is because (-3)² = 9 and 9 - 12 = -3.

You can get this answer by testing different number until one works in the given situation. This is done by testing numbers by squaring them and then subtracting 12 to see if it equals the original number.

3 0
3 years ago
Multiply and Divide<br> 1/2 + 2/3 ÷ 1/6
vladimir1956 [14]
Is 9/2 (4.5)

Explanation :

1/2 + 2/3 x 6

—-

1/2 + 2 x 2

—-

1/2 + 4

gives me 9/2 that’s 4.5
3 0
3 years ago
Factor f(x)=x4-x3-7x2+13x-6 completely. Then Sketch the graph
Dennis_Churaev [7]

ANSWER TO QUESTION 1


f(x)=(x-2)(x+3)(x-1)^2.



EXPLANATION


The function given to us is,


f(x)=x^4-x^3-7x^2+13x-6


According to rational roots theorem,


\pm1,\pm2,\pm3,\pm6 are possible rational zeros of  


f(x)=x^4-x^3-7x^2+13x-6.


We find out that,


f(-3)=(-3)^4-(-3)^3-7(-3)^2+13(-3)-6


f(-3)=81+27-63-39-6



f(-3)=6-6



f(-3)=0


Also




f(2)=(2)^4-(2)^3-7(2)^2+13(2)-6



f(2)=16-8-28+26-6



f(2)=6-6



f(2)=0


This implies that  


x-2 and x+3 are factors of



f(x)=x^4-x^3-7x^2+13x-6 and hence (x-2)(x+3)=x^2+x-6 is also a factor.



We perform the long division as shown in the diagram.



Hence,


f(x)=(x-2)(x+3)(x-1)^2.


ANSWER TO QUESTION 2

Sketching the graph

We can see from the factorization that the roots  

x=2 and x=-3 have a multiplicity of 1, which is odd. This means that the graph crosses the x-axis at this intercepts.


Also the root x=1 has a multiplicity of 2, which is even. This means the graph does not cross the x-axis at this intercept.



Now we determine the position of the graph on the following intervals,


x\le -3


f(-4)=(-4)^4-(-4)^3-7(-4)^2+13(-4)-6


f(-4)=150\:>0



-3\le x \le 1


f(0)=-6\:


1\le x\le 2


f(1.5)=-0.56\:



x \ge 2



f(3)=24\:>0



We can now use these information to sketch the function as shown in diagram



4 0
3 years ago
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