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Minchanka [31]
2 years ago
9

What is the equation of the function that is graphed as line a?

Mathematics
1 answer:
Andrei [34K]2 years ago
4 0

Answer:

B

Step-by-step explanation:

We see that the line intersects the y-axis at -1.  As a result, we need to choose an equation with -1, either B or C.  We see that the different is the slope.  For choice B, the slope is \frac{1}{3}, meaning that every unit up equates to 3 blocks to the right.  Counting along the line, we see that this is correct.

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Is X +3 a factor of 2X squared minus 2X -12
Fantom [35]

Answer: No, x+3 is not a factor of 2x^2-2x-12

========================================================

Explanation:

Let p(x) = 2x^2 - 2x - 12

If we divide p(x) over (x-k), then the remainder is p(k). I'm using the remainder theorem. A special case of the remainder theorem is that if p(k) = 0, then x-k is a factor of p(x).

Compare x+3 = x-(-3) to x-k to find that k = -3.

Plug x = -3 into the function

p(x) = 2x^2 - 2x - 12

p(-3) = 2(-3)^2 - 2(-3) - 12

p(-3) = 12

We don't get 0 as a result so x+3 is not a factor of p(x) = 2x^2 - 2x - 12

----------------------------------------

Let's see what happens when we factor p(x)

2x^2 - 2x - 12

2(x^2 - x - 6)

2(x - 3)(x + 2)

The factors here are 2, x-3 and x+2

3 0
2 years ago
At the beginning of an environmental study, a forest covered an area of 1500 km². Since then, this area has decreased by 5.8% ea
Oliga [24]

Area covered by the forest in the beginning = 1500km²

Decrease in area each year = 5.8% = 5.8/100 × 1500 = 87km²

Decrease in the area of the forest in <em>t</em> years = 87t

Area of forest now = y

y = 1500 - 87t

7 0
2 years ago
Help ME! I’m literly struggling
miv72 [106K]

Answer:

See explanation below

Step-by-step explanation:

BD - diagonal                                    Added Construction              

m∠CBD = m∠ADB            Alternate Interior Angles Theorem        

BD ≅ DB                                             Reflexive Property                  

m∠A = m∠C                          Opposite ∠'s Congruent Theorem

ΔABD ≅  ΔCDB                                     AAS or SAS                                    

BC ≅  DA                                                 CPCTC              

AC - diagonal                                             Added Construction    

m∠BCA = m∠CAD                   Alternate Interior Angles Theorem

AC ≅ CA                                                  Reflexive Property    

m∠B = m∠D                              Opposite ∠'s Congruent Theorem

ΔABC ≅  ΔCDA                                            AAS or SAS                                                  

AB ≅  CD                                                           CPCTC          

6 0
2 years ago
A right triangle has an angle that measures 34 and the adjacent side measure 17. what is the lenght of the hypotenuse to the nea
olga2289 [7]
The length of the hypotenuse is 38
7 0
3 years ago
How would i solvd this problem as sn improper fraction 2 1/8
zmey [24]
17/8..........................................
7 0
2 years ago
Read 2 more answers
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