list all the possible rational zeros of p(x)=3x^3-3x^2+4x-12

Answers:

-3.5 < 5

|-3.5| < |5|

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Explanation:

Any negative number is always smaller than any positive number. So that's why -3.5 is smaller than 5 and where -3.5 < 5 comes from. It might help to set up a vertical number line. Stuff on top is larger than stuff down below.

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The vertical bars represent absolute value. The result of |-3.5| is 3.5 because this is the distance from -3.5 to 0 on the number line. Likewise, |5| = 5.

So that's how we get to |-3.5| < |5| which is effectively saying -3.5 is closer to zero than 5 is to zero.

Answer:

855

Step-by-step explanation:

90x9.5=855

Answer:

See below:

Step-by-step explanation:

So we know that in 1 minute he can type 90 words.

To solve for 9.5 minutes, what we can do is first multiply 90 by 9 to get 810.

We then can multiply 90 by 0.5 as we are using the distributive property.

After that, we get 810 + 45 which is 885 words in 9.5 minutes.

Answer:

B.

Step-by-step explanation:

step by step explanation

Answer:

after 70 miles, company B will charge Henry more.

Step-by-step explanation:

at 70 miles both companies will charge the same price

118 = 55 + 0.9m

m = (118 - 55) divided by 0.9 = 70  

Answer:

128/512 or 1/4

Step-by-step explanation:

(2 x 2 x 2 x 2) x (2 x 2 x 2)= 16 x 8 = 128

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(2 x 2 x 2 x 2 x 2) x (2 x 2 x 2 x 2)= 32 x 16 = 512

Answer:

-n

Step-by-step explanation:

The symbol √ means the principal square root.

The principal square root is always non-negative.

For example, even though the number 25 has two square roots, -5 and 5, since both (-5)² and (5)² equal 25, when you express the square root using the square root symbol, then √25 = 5, and not -5, since √25 means the principal square root of 25, and as a principal square root, it must be a non-negative number.

If n < 0, then you are dealing with negative numbers.

Once you square n to get n², n² is a positive number.

Then the square root of n², expressed with the square root symbol as √(n²) must be positive, so it equals -n.

Example:

Let n = -8.

Then n² = (-8)² = 64.

√(64) = 8

Compare 8 to -8. 8 is -(-8), just like we get -n.

Answer: -n

Answer:

10

Step-by-step explanation:

Bisect the 72° angle to get an exterior angle of 36°.

The sum of the measures of the exterior angles of a polygon, one per vertex, is 360°.

360°/36° = 10

Answer: There are 10 sides.

Answer:

A physical quantity is a physical property of a material or system that can be quantified by measurement.

Answer:

5.35

Step-by-step explanation:

5.3+5.4/2

10.7/2

5.35

The expression that correctly describes completing the square is;

Option C; x² + ax + (a/2)²

Let's say we have an expression;

x² + ax + c = 0

Let us first rearrange to get;

x² + ax = -c

Add (a/2)² to both sides to get;

x² + ax + (a/2)² = -c + (a/2)²

Thereafter, we can simplify the left hand side to give; (x + a/2)² = -c + (a/2)²

But from the given options, the only one with a corresponding step with what we have is option C which is x² + ax + (a/2)²

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Answer:

m

Step-by-step explanation:

Answer:

ln|sec(x) + tan(x)| + c

Step-by-step explanation:

∫sec(x) dx

secx = 1/cos(x) = cos(x)/cos²(x) = cos(x)/(1-sin²(x))

let u = sinx

we get ∫secx = ∫du/(1-u²) = ln√(1+u)/(1-u)

as (1+u)/(1-u) = (1+sinx)/(1-sinx) = (sec²x + tan²x)

so ln √(1+u)/(1-u) = ln√(sec²x + tan²x) = ln|secx+tanx| +c

Answer:

- 7

Step-by-step explanation:

Given

t < - 6

Then t = - 7 is less than - 6 and is a solution

Answer:

I think they both did reason correctly! Since they got different answers, we can conclude the initial plan was incorrect.

Step-by-step explanation:

      Both of their work looks to be correct. Since they both have correct solutions, we can conclude that the initial plan was incorrect and that an angle was recorded wrong.

Have a nice day!

    I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

We want to find the distance around the outside wheel of the car given that we know its diameter. We will see that this distance is 94.2mm

So the distance around the outside edge of the wheel will be equal to its circumference.

We do know that for a circle of diameter D the circumference is defined as:

C = pi*D

Where pi = 3.14

Here we do know that the diameter is 30 mm, then the circumference of the wheel will be:

C = 3.14*30mm = 94.2 mm

This is the distance around the outside edge of the wheel.

If you want to learn more about circumferences you can read:

https://brainly.com/question/17009561

Answer:

x=9.. 5 x 9 =45.. 45-17=28, 3 x 9 = 27.. 27+1 is 28

Step-by-step explanation:

28 is the answerr

Answer: Show the options

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

y= 11

Step-by-step explanation:

[tex]\boxed{slope = \frac{y _{1} - y_2 }{x_1 - x_2} }[/tex]

Substituting the coordinates and value of slope:

[tex] \frac{y - ( - 3)}{3 - ( - 4)} = 2[/tex]

[tex] \frac{y + 3}{3 + 4} = 2[/tex]

[tex] \frac{y + 3}{7} = 2[/tex]

Multiply both sides by 7:

y +3= 2(7)

y +3= 14

Subtract 3 from both sides:

y= 14 -3

y= 11

Answer:

60

Step-by-step explanation:

9*12=108

6*8=48

108-48=60

Answer:     a function can only have one y-intercept.

Answer:

280 mangoes

Step-by-step explanation:

sum the parts of the ratio, 7 + 11 = 18 parts

Divide the total by 18 to find the value of one part of the ratio.

720 ÷ 18 = 40 ← value of 1 part of the ratio , then

7 × 40 = 280 ← number of mangoes

Answer:293

Step-by-step explanation:

720-719= 1

1+292= 293

Answer:

I hope this helps

Step-by-step explanation:

Answer:

24.5

Step-by-step explanation:

8+6(1/2 +5) divided by 2

15:12 is the equivalent ratio of 5:4

He needed to make a total of 1980 + 630 = $2610

$2610 / 45 = 58

Answer: 58

Answer:

parallel

Step-by-step explanation:

4-2/-9-0= 2/-9

6-8/4+5= -2/9

A family-wise inflation of error rate is the increase in the probability that one or more results of a numerous, independently (separately) conducted statistical analyses to become statistically significant, but these results can actually be attributed to random variation or measurement error.

In Statistics, a family-wise inflation of error rate is also referred to as family-wise error rate (FWER) and it can be defined as the probability of making at least one false conclusion or type I errors in numerous, separate statistical analyses or hypothesis tests.

Hence, a family-wise inflation of error rate increases the probability that one or more of the results among groups within an independent data set to be statistically significant, especially due to random variation or measurement error.

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