What is the area of the trapezoid?<br> 3 cm<br> 9 cm<br> 10 cm<br> 9 cm<br> square centimeters

Hi, can someone help with these two questions ASAP! (Ignore the multiple choice I circled, not sure if it’s correct)

Sindrei [870]

Answer:

1) D. $y = -\frac{3}{2}\cdot x^{12} -7\cdot x^{5}+\frac{2}{3}\cdot x -10$

2) E. The coefficient of $x$ is -16.

Step-by-step explanation:

1) A polynomial is an algebraic expression of the form $p(x) = \Sigma \limits_{i = 0}^{n} c_{i}\cdot x^{i}$ , where $n$ is the grade of the polynomial. In this case, the only equation that satisfies this definition is:

$y = -\frac{3}{2}\cdot x^{12} -7\cdot x^{5}+\frac{2}{3}\cdot x -10$

Correct answer: D

2) Let $p(x) = (2\cdot x + 1) \cdot (5\cdot x^{3}-8\cdot x +4)$ , we proceed to expand the expression by algebraic means:

$p(x) = (2\cdot x + 1)\cdot (5\cdot x^{3}) -(2\cdot x +1)\cdot (8\cdot x) + 4\cdot (2\cdot x + 1)$

$p(x) = 10\cdot x^{4}+5\cdot x^{3}-16\cdot x^{2}+4$

We see that coefficients for $x^{2}$ and $x$ are -16 and 0, respectively. Hence, the incorrect answer is E.

3 0

3 years ago

PLSS HELP DUE TMR PLSS 25 POINTS I BEGG

Maksim231197 [3]

Answer:

7tifi6diyd8ydiy

Step-by-step explanation:

ust75dutsjtsutxxhtshfxhrsfhzyrahrsursusutsutsuttus5usutsutxtu

3 0

3 years ago

Joe used a project management software package and has determined the following results for a given project.: Expected completio

statuscvo [17]

Answer:

0.1151 = 11.51% probability of completing the project over 20 days.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Expected completion time of the project = 22 days.

Variance of project completion time = 2.77

This means that $\mu = 22, \sigma = \sqrt{2.77}$

What is the probability of completing the project over 20 days?

This is the p-value of Z when X = 20, so:

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{20 - 22}{\sqrt{2.77}}$

$Z = -1.2$

$Z = -1.2$ has a p-value of 0.1151.

0.1151 = 11.51% probability of completing the project over 20 days.

4 0

2 years ago

During the winter registration, 72 athletes signed up to play basketball. If they have 6 even team, how many players are on each

kumpel [21]

Answer:

12 on each team

Step-by-step explanation:

72 divided by 6 should give you the correct amount

5 0

3 years ago

Which represents the solution(s) of the graphed system of equations, y = x2 x – 2 and y = 2x – 2? (–2, 0) and (0, 1) (0, –2) and

Marysya12 [62]

The solution to the system of equation are (0, -2) and (1, 0)

<h3>Solution to system of equations</h3>

System of equations are equations that has unknown and more than 1 equations.

Given the system of equations

y = x^2 + x – 2

y = 2x – 2

Equate both expressions

x^2 + x -2 = 2x - 2
x^2 - x = 0
x(x-1) = 0
x = 0 and x - 1 = 0
x = 0 and 1

If x = 0

y = 0 - 2 = -2

If x = 1

y = 2 - 2 = 0
Hence the solution to the system of equation are (0, -2) and (1, 0)

Learn more on system of equation here: brainly.com/question/13729904

#SPJ4

7 0

2 years ago

What is the area of the trapezoid? 3 cm 9 cm 10 cm 9 cm square centimeters