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Rashid [163]
3 years ago
15

Which graph would help you find the solutions of 2 – x2 = –x?

Mathematics
1 answer:
Lelechka [254]3 years ago
6 0

Step-by-step explanation:

A quadratic graph will surely help you find the solutions

X2-x-2=0

x1=2 x2= -1

Substitute each of the x value in the original equation to get the y value

(2)^2-(2)-2= 0 (2,0)

(-1)^2-(-1)-2=-2 (-1,-2)

plot the coordinates on the graph,the graph should be a curve

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The amount of water dispensed by a water dispenser is normally distributed,
Contact [7]

Answer:

The correct answer is - C.  11.45 ounces to 11.75 ounces.

Step-by-step explanation:

According to the empirical rule of the distribution for 68% falls under the normal curve falls within 1 standard deviation of the mean.

That is:

μ±δ

From the given information, the mean is

μ = 11.60

and the standard deviation is

δ = 0.15

We substitute the given parameters to obtain;

11.60±0.15

11.75 and 11.45

This means the lower limit is

11.45

and the upper limit is

11.75

3 0
3 years ago
Write a rule to describe the function shown. x y −6 −4 −3 −2 0 0 3 2 y equals start fraction two over three end fraction x y equ
sertanlavr [38]

Answer:

y=\frac{2}{3} x (y equals start fraction two over three end fraction x)

Step-by-step explanation:

Lest's organize the table values of our function first:

x    y

-6  -4

-3  -2

0   0

3   2

The simplest kind of of function is a linear function of the form y=mx+b where m is the slope and b is the y-intercept. Let's us check if our function is a linear one finding its equation and checking that all points are in the line.

The first step to find a linear equation is find the slope of the line; to do it, we are using the slope formula:

m=\frac{y_2-y_1}{x_2-x_1}

where

m is the slope of the line

(x_1,y_1) are the coordinates of the first point

(x_2,y_2) are the coordinates of the second point

We know from our table that the first and second points are (-6, -4) and (-3, -2) respectively, so x_1=-6, y_1=-4, x_2=-3, and y_2=-2.

Replacing values:

m=\frac{y_2-y_1}{x_2-x_1}

m=\frac{-2-(-4)}{-3-(-6)}

m=\frac{-2+4}{-3+6)}

m=\frac{2}{3)}

Now that we have the slope of our line we can use the point slope formula to complete our linear function:

y-y_1=m(x-x_1)

where

m is the slope

(x_1,y_1) are the coordinates of the first point

Replacing values:

y-y_1=m(x-x_1)

y-(-4)=\frac{2}{3)}(x-(-6))

y+4=\frac{2}{3)}(x+6)

y+4=\frac{2}{3} x+4

y=\frac{2}{3} x+4-4

y=\frac{2}{3} x

Now, to check if our function is valid, we can either check if each point satisfies the rule y=\frac{2}{3} x, or we can graph it and check if each lies is in the graph.

Let's check both:

We already know that points (-6, -4) and (-3, -2) satisfy the rule (after all, those were the point we used to came out with the rule in the first place), so we just need to check the points (0, 0) and (3, 2)

- For (0, 0):

y=\frac{2}{3} x

0=\frac{2}{3}(0)

0=0

The point satisfies the rule.

- For (3, 2):

y=\frac{2}{3} x

2=\frac{2}{3} (3)

2=2

The point satisfies the rule.

Since all the points of our table satisfies the rule y=\frac{2}{3} x, we can conclude that the rule describing the function shown is y=\frac{2}{3} x.

4 0
3 years ago
Read 2 more answers
Find the quotient. 7,398 ÷ 6 *
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Answer:1,230.5

Reason: just learn how to divide
7 0
3 years ago
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The volume of the figure. Round to the nearest tenth
Mama L [17]
The answeris675 yards
3 0
3 years ago
The miller wants to bake a loaf of bread,but he didnt have any flour. He decided to grind just enough for eight loaves. If it ta
anyanavicka [17]
The miller needs 1-3/4 kg (or  1.75 kg) for two loaves.
Therefore the amount of flour needed for 1 loaf is
1.75/2 = 0.875 kg per loaf.

For 8 loaves, the amount of flour needed is 
8*0.875 = 7 kg

Answer: 7 kg of flour is needed for 8 loaves.
6 0
3 years ago
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