All categories

3 years ago

Find (−3d2+10d−8)−(7d2−d−6). The difference is .

Mathematics

1 answer:

katovenus [111]3 years ago

3 0

-10d^2 + 11d - 2

To find this, distribute the - to 7d^2 - d - 6.

This will give you a new equation of:

-3d^2 + 10d - 8 -7d^2 + d + 6

Combine like terms to get the answer above.

Hope this helps!

You might be interested in

Breyers is a major producer of ice cream and would like to test if the average American consumes more than 17 ounces of ice crea

asambeis [7]

Answer:

The conclusion for this hypothesis test would be that the average American consumes less than or equal to 17 ounces of ice cream per month.

Step-by-step explanation:

We are given that Breyers is a major producer of ice cream and would like to test if the average American consumes more than 17 ounces of ice cream per month.

A random sample of 25 Americans was found to consume an average of 19 ounces of ice cream last month. The standard deviation for this sample was 5 ounces.

Let $\mu$ = average ounces of ice cream consumed by American per month

So, Null Hypothesis, $H_0$ : $\mu \leq$ 17 ounces {means that the average American consumes less than or equal to 17 ounces of ice cream per month}

Alternate Hypothesis, $H_A$ : $\mu$ > 17 ounces {means that the average American consumes more than 17 ounces of ice cream per month}

The test statistics that will be used here is One-sample t test statistics as we don't know about population standard deviation;

T.S. = $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = sample average = 19 ounces

s = sample standard deviation = 5 ounces

n = sample of Americans = 25

So, test statistics = $\frac{19-17}{\frac{5}{\sqrt{25} } }$ ~ $t_2_4$

= 2

The value of the test statistics is 2.

Now at 0.025 significance level, the t table gives critical value of 2.06 at 24 degree of freedom for right-tailed test. Since our test statistics is less than the critical values of t, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.

Therefore, we conclude that the the average American consumes less than or equal to 17 ounces of ice cream per month.

8 0

3 years ago

Fiona, Peter and Angad share some sweets in the ratio 4:5:1. Fiona gets 40 sweets. How many sweets are there altogether?

steposvetlana [31]

Answer:

100

Step-by-step explanation:

sum the parts of the ratio, 4 + 5 + 1 = 10 parts

Fiona gets 40 sweets which is 4 parts of the ratio

Divide Fiona's share by 4 to find the value of one part of the ratio

40 ÷ 4 = 10 ← 1 part of the ratio

The total number of sweets is 10 parts , thus

number of sweets in total = 10 × 10 = 100

8 0

3 years ago

Read 2 more answers

Which of the following is the reciprocal of x2-2x-8

Lemur [1.5K]

It would be 1 / (x + 2) (x - 4)

4 0

3 years ago

The sun is 93,000,000 miles from Earth. What is the value of the 3 in the number 93,000,000

Lostsunrise [7]

Answer:

three million

Step-by-step explanation:

3 0

3 years ago

What are the coordinates for the x and y intercepts of the function 4y - 2x = 24?

Alexeev081 [22]

First, let's put this in Slope-intercept form: y = mx + b, where m is the slope and b is the y-intercept.
4y - 2x = 24 Add 2x to both sides
4y = 2x + 24 Divide both sides by 4
y = (1/2)x + 6
Now that we're in slope-intercept we can easily find the y and x intercepts/
b = 6, so the y-intercept equals 6. Plug zero in for x to confirm!

Now we plug 0 in for y to find the x intercept:
0 = (1/2)x + 6 Subtract 6 from both sides
-6 = (1/2) x Multiply both sides by 2
-12 = x
The x intercept is -12

In Conlusion:
x-intercept = -12
y- intercept = 6

6 0

3 years ago

Read 2 more answers