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2 years ago

Someone plz help me i'm so confused (click on picture)

Mathematics

2 answers:

Olin [163]2 years ago

8 0

Answer:

the equation to finding slope is this:

y2-y1 / x2-x1

Where y2 is the y value of the second point, y1 is the y value of the first point, x2 is the value of the second x value, and x1 is the x value of the first point.

5-0 / -2-2

5/-4

-5/4 is the slope

Step-by-step explanation:

aliina [53]2 years ago

3 0

Answer:

$m=\frac{-5}{4} \\$ which is the slope.

Step-by-step explanation:

Since we have two points on the line, we can easily calculate the slope.

Point 1 = (-2, 5)

Point 2 = (2, 0)

$m=\frac{rise}{run}\\m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} } \\m=\frac{0-5}{2-(-2)} \\m=\frac{-5}{4}$

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The function y = x 2 - 10x + 31 has a ____

katrin [286]

Answer:

Option B. minimum is correct for the first blank

Option C. 6 is correct for second blank.

Step-by-step explanation:

In order to find the maxima or minima of a function, we have to take the first derivative and then put it equal to zero to find the critical values.

Given function is:

$f(x) = x^2-10x+31$

Taking first derivative

$f'(x) = 2x-10$

Now the first derivative has to be put equal to zero to find the critical value

$2x-10 = 0\\2x = 10\\x = \frac{10}{2} = 5$

The function has only one critical value which is 5.

Taking 2nd derivative

$f''(x) =2$

$f''(5) = 2$

As the value of 2nd derivative is positive for the critical value 5, this means that the function has a minimum value at x = 5

The value can be found out by putting x=5 in the function

$f(5) = (5)^2-10(5)+31\\=25-50+31\\=6$

Hence,

<u>The function y = x 2 - 10x + 31 has a minimum value of 6</u>

Hence,

Option B. minimum is correct for the first blank

Option C. 6 is correct for second blank.

8 0

3 years ago

The base is 3 and the height is 2 what is the area of the triangle

Scorpion4ik [409]

Answer:

area = 3

Step-by-step explanation:

area of a triangle = 1/2 base x height

1/2 x 3 x 2 = 1/2 x 6 = 3

6 0

2 years ago

This is my last question and I need help with it

Ann [662]

I believe the answer is b

5 0

2 years ago

An office uses 478 pounds of paper in one week. The paper comes in packages that hold 18 pounds of paper each. How many packages

ddd [48]

To solve this, you would divide 478 by 18, which equals 26.5555556. Since you can't have half a package of paper, the answer would be 26. Hope this helps!

7 0

3 years ago

10x + 7y=1<br> -5x-7y=24

nikitadnepr [17]

Okay, so since both y values share the same number, let's add both equations so the y values cancel out leaving us to solve for x.

10x+(-5x)=5x

7y+(-7y)=0

1+24=25

Now we have 5x=25

divide both sides by 5 and we have x=5

Now that we know x=5, we can plug it into one of the problems to find y.

Let's do 10(5) +7y=1

50+7y=1 subtract 5 and we get 7y=-49

divide -7 from both sides and we get y=-7

so there you have it x=5 and y=-7

8 0

2 years ago