Mathematics, 27.09.2019 09:50 patricklap4951

Could someone me with number 7 and 8? i might you and god bless you!

Answers: 2

Show answers

Answers

I don't see #8, but I can help with #7:

The student correctly set the problem up for using the quadratic formula. She got all all the terms on one side and zero on the other. She also ordered the problem in quadratic form, ax^2 + bx + c

She also correctly applied the quadratic formula, setting it up correctly based on the a, b, and c coefficients.

Her mistake was between the third and fourth line:
-4 (2) (-3) = 24, not -24, since there are two negative terms being multiplied.
Therefore, it should be √(16 + 24) = √40, not √-8

Answer from: kailahgranger

This is a Systems of Equations problem, I'm guessing.

6) To find the point of intersection, I have to first set the two equations together:
2x+12=-x^2+10x+5

I can factor one side:
2x+12 = -1(x^2-10x-5)

I can now solve for x to get the x-coordinate on the point of intersection (I just divided both sides by -1):
-2x-12 = x^2-10x-5

Solve for x:
-2x-7=x^2-10x

Since it's a quadratic, I'll just use the quadratic equation to find the two x's. Remember, it says "find all break points" so there's more than 1:
0 = x^2-8x+7

$x = \frac{-b+ \sqrt{b^2-4ac} }{2a}$
and
$x = \frac{-b- \sqrt{b^2-4ac} }{2a}$

Plug in:
$x = \frac{8+ \sqrt{(-8)^2-4(1)(7)} }{2(1)} = \frac{-8+ \sqrt{64-28}}{2}$
and
$x = \frac{8- \sqrt{(-8)^2-4(1)(7)} }{2(1)} = \frac{-8+ \sqrt{64-28}}{2}$

Solve both:
$x = \frac{8+ \sqrt{36} }{2} = \frac{8+6}{2}=\frac{14}{2}=7$
and
$x = \frac{8- \sqrt{36} }{2} = \frac{8-6}{2} = 1$

Now that we have the x-coordinates, we can plug both of them in into the equation that we had for y to find the point in form (x, y). So, let's do that, and since we can choose either equation, I'm going to choose the first one because it's much easier. Let's do it:
y = 2x+12

and

So, your two (and all of them) points of intersection are (7, 46) and (1, 14).
If any step doesn't make sense, hmu. I'm not going to do the other one because I don't have enough time. Maybe I can help you tomorrow in the DMs.

Answer from: Quest

the correct answer is option c. 3

step-by-step explanation:

points to remember

equation of the line with coordinates (x₁, y₁) and (x₂, y₂) is given by,

slope m = (y₂ - y₁)/(x₂ - x₁)

from the figure we can see a line with two coordinates given

to find the slope of given line

here (x₁, y₁) = (-1, -1 ) and (x₂, y₂) = (1, 5)

slope m = (y₂ - y₁)/(x₂ - x₁)

= (5 - -1)/(1 - -1)

= (5 + 1)/(1 + 1)

= 6/2 = 3

therefore the correct answer is option c. 3

What is the slope of the line shown below?

Answer from: Quest

the answer is b. 60. each interior angle in 120, so the exterior angle must be 60 in order to add up to 180

step-by-step explanation:

Another question on Mathematics

Mathematics, 21.06.2019 14:20

Suppose a least-squares regression line is given by modifyingabove y with caret equals 4.302 x minus 3.293. what is the mean value of the response variable if xequals20?

Answers: 3

Answer

Mathematics, 21.06.2019 15:40

Is it true that product of 3 consecutive natural numbers is always divisible by 6? justifyyour answer

Answers: 2

Answer

Mathematics, 21.06.2019 17:00

Write numerical coefficient of y² in the expression 2x² - 15xy – 7y²

Answers: 1

Answer

Mathematics, 21.06.2019 17:00

Sole with work in 10 years, the average number of hours of tv watched per week by teenagers dropped from 23.9 to 21.4. find the percent of change.