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2 years ago

Select the expression that is equivalent to (x-1)².

Mathematics

1 answer:

Harlamova29_29 [7]2 years ago

3 0

Answer:

Choice D

Step-by-step explanation:

(x-1)²

=(x-1)(x-1)
=x*x+x*−1+-1*x+-1*-1
=x²−x−x+1
=x²−2x+1

Choice D is accurate.

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E is 3 more than d.<br> f is 5 less than d.<br> Write an expression for e in terms of d

Nataly_w [17]

Answer:

Part A:

We are given that E is 3 more than D. This means that to get the value of E, we will simply add 3 to the value of D

Therefore:

E = D + 3

Part B:

We are given that F is 5 less than D. This means that to get the value of F, we will simply subtract 5 from the value of D

Therefore:

F = D - 5

Part C:

To get the value of E-F, we will simply subtract the equation we obtained from part B from the equation we obtained from part A

Therefore:

E - F = (D+3) - (D-5)

E - F = D + 3 - D + 5

E - F = 8

Hope this helps :)

Step-by-step explanation:

4 0

2 years ago

Find the volume of the cylinder.

Georgia [21]

<h3>Answer:</h3><h3>Exact volume = 32pi</h3><h3>Approximate volume = 100.48</h3>

The approximate volume only applies when pi = 3.14

Use either answer, but not both of course.

===============================================

Work Shown:

V = volume of cylinder

V = pi*r^2*h

V = pi*2^2*8

V = pi*32

V = 32pi .... exact volume in terms of pi

V = 32*3.14

V = 100.48 .... approximate volume when we use pi = 3.14

6 0

3 years ago

PLEASE help !!! I’m struggling and I suck at math. Can someone answer this for me? For points and brainly !

Helen [10]

Answer:

$\huge\boxed{2329 \ \text{pounds}}$

Step-by-step explanation:

In order to solve this equation, let's see what we already know.

We know two points on the graph <em>which we can use to find the slope</em>

That's about it.

However, this can come useful to find the slope between the two points, which is the slope for the entire graph (since this is linear). The slope between two points is usually defined as $\frac{\Delta y}{\Delta x}$ (change in y / change in x). Our two points are (18, 2017) and (48, 2212).

The change in y between our two points is $2212-2017 = 195$ , and the change in x is $48 - 18 = 30$ . Our slope will then be $\frac{195}{30}$ , which comes out to be approximately 6.5. Therefore, our slope is 6.5.

Now that we know the slope, we can substitute inside our equation in slope intercept form.

$y = 6.5x+b$

We have yet to find b, the y-intercept (how much the plane itself weighs). To find b, we can substitute a point on the graph into the equation and solve for b. We know that the point (18, 2017) is on the graph so let's use that.

$2017 = 6.5 \cdot18 + b$
$2017 = 117 + b$
$1900= b$

Now that we know our y-intercept is 1900, we can create our equation by using the slope and the y-intercept.

$y=6.5x+1900$

Finally, to find the weight of the plane with 66 pounds of fuel, we can substitute 66 inside this equation as x.

$y = 6.5 \cdot66+ 1900$
$y = 429+1900$
$y=2329$

So the plane weighed 2329 pounds with 66 gallons of fuel.

Hope this helped!

7 0

3 years ago

Read 2 more answers

The Jones family has 2 kids, 1 boy and 1 girl. Suppose that for each birth, the probability of a boy birth is

nirvana33 [79]

Answer:

1/2

Step-by-step explanation:

4 0

3 years ago

Students in a college statistics class want to conduct a survey to determine the percentage of students in the school who are wi

valentina_108 [34]

Answer:

d.a cluster sampling

Step-by-step explanation:

This plan exemplifies Cluster sampling. It is a sampling method where populations are placed into different separate groups like here into freshman, sophomore, junior, and senior classes. A random sample of these groups is then selected as here thirty students selected from each group to represent a specific population.<u> It is usually used in that type of research when there is no possible way to find information about a population as a whole.</u>

4 0

3 years ago