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labwork [276]
3 years ago
6

Quadratic equation by factoring

Mathematics
1 answer:
Oliga [24]3 years ago
5 0
I’d use the app Socratic, the apps always factors the quadratic formula and it gives you the steps on how it done.
1. X^2+7x+12=0
Identify a,b, and c. Which x^2 is a, 7 is b and c is 12.
Find two numbers that multiply together to equal c which is 12 which is 3•4
And add two numbers that equal to b which is 7 which is 3+4
= (x+3)(x+4)=0
Set each factor to zero
X+3=0
= -3
X+4=0
=-4
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8x2 - 6x + 3 – 2x – 10x?
Marina CMI [18]

Answer:

8x^{2} + 3 + -6x

Step-by-step explanation:

First we need to find the like terms so that we could add them. In this case the like terms are,

1. 6x , -2x , -10x

So, these are the only terms that we can add in this expression.

Hence,

=> 8x^{2} + 3 + (6x - 2x - 10x)

=> 8x^{2} + 3 + -6x

And this is as simple as this expression can go until we find the value of "x" which is not yet told.

Hope my answer helped.

4 0
3 years ago
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The table and graph represent two different bus tours,
JulsSmile [24]

Answer: The functions have the same initial value

Step-by-step explanation: I say this because "Tour 1" is a linear funtion. I subtracted 45 from 55 and got 10, this happened for all the numbers on the table. On the other hand,  When observing the  graph it shows the initial point between 40 and 30. I estimated and got 35. When I went to check my answer, I subtracted 35 from 45 and got 10. Therefore, 35 is the initial value for both the graph and the chart.

6 0
3 years ago
Twenty people are going by van to a movie. Each van seats 8 people. How many vans are needed to take everyone?
GarryVolchara [31]

Answer:

3

Step-by-step explanation:

20/8=2.5

so 3 vans

4 0
3 years ago
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What is the equation of this line in slope intercept from?
ryzh [129]

The correct answer should be B: y = -3x + 2.

Since the line crosses the y axis at 2, your y-intercept should be 2. Using rise over run you can compare the equations to the graph. If you convert 3x to a fraction, it would be 3/1x. Since the line is going down 3 and the rise of the y = -3x + 2 is -3, that part is correct. The line also moves over 1 unit, so the run is 1, therefore the correct slope would be -3 or -3/1.  Now if you combine what you have it should be y = -3x - 2, which is the same equation as B.

7 0
3 years ago
Tom and Becky can paint Jim's fence together in 12 hours. If all people paint at the same rate, how many hours would it take to
Delvig [45]

Answer: 8 hours

Step-by-step explanation:

Let x be the time taken by each person to paint the fence.

Given: Tom and Becky can paint Jim's fence together in 12 hours.

Since all people paint at the same rate, then we have the following equation ;-

\dfrac{1}{x}+\dfrac{1}{x}=\dfrac{1}{12}\\\\\Rightarrow\ \dfrac{2}{x}=\dfrac{1}{12}\\\\\Rightarrow\ x=24

Thus, the time taken by each person to paint the fence alone = 24 hours

Now, the time taken by all three paint together:-

\dfrac{1}{t}=\dfrac{1}{24}+\dfrac{1}{24}+\dfrac{1}{24}\\\\\Rightarrow\ \dfrac{1}{t}=\dfrac{3}{24}\\\\\Rightarrow\ t=\dfrac{24}{3}=8\text{ hours}

Hence, it would take 8 hours if all three paint together.

3 0
3 years ago
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