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3 years ago

Check all of the points that are solutions to the system of inequalities,

Mathematics

1 answer:

inna [77]3 years ago

6 0

Answer:

A(0, 2), C(-1, 2), E(-4, -1)

Step-by-step explanation:

It can be useful to graph the equations and plot the points. Only the points in the doubly-shaded area are solutions to the system of inequalities.

You can try the offered points and see which work.

A. 2 > 2·0 +1 . . . true

B. 3 > 2·1 +1 . . . . False

C. 2 > 2(-1) +1 . . . true

D. 1 > 2·1 +1 . . . . False

E. -1 > 2(-4) +1 . . . true

F. 0 > 2·0 +1 . . . . False

A. 2 < -2·0 +3 . . . true

C. 2 < -2(-1) +3 . . . true

E. -1 < -2(-4) +3 . . . true

Points A, C, E are in the solution set.

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What value, entered in the blank below, would make the two expressions equivalent? Expres

malfutka [58]

Answer:

The value is -3

Step-by-step explanation:

Here in this question, we are interested in making the expressions on both sides of the equation equal. But we seek a particular value or number which when placed in front of the quadratic expression on the right hand side makes the equations equal.

To get this done with, we will need to factorize the expression on the left hand side of the equation.

Thus, we can write;

-27x^2 + 9x + 12 as 3(-9x^2 + 3x + 4)

What do we notice? we can see that the now factored quadratic expression resembles what we have on the right hand side asides there fact that we are not there yet in terms of sign.

Thus, we can finally write ;

-27x^2 + 9x + 12 as -3(9x^2 -3x -4)

This exactly gives the expression on the right hand side

Thus the value to place in the blank is -3

5 0

3 years ago

The science club went on a two day field trip. The first day the members paid $60 for transportation plus $15 to the planetarium

Dahasolnce [82]

Answer:

First day: $75

Second day: $107

Together: $182

Step-by-step explanation:

First day:

$60 + $15 = $75

Second day:

$95 + $12 = $107

Together: $182

4 0

3 years ago

Question 8 Find the unit vector in the direction of (2,-3). Write your answer in component form. Do not approximate any numbers

slamgirl [31]

Answer:

The unit vector in component form is $\hat{u} = \left(\frac{2}{\sqrt{13} },-\frac{3}{\sqrt{13}} \right)$ or $\hat{u} = \frac{2}{\sqrt{13}}\,i-\frac{3}{13}\,j$ .

Step-by-step explanation:

Let be $\vec u = (2,-3)$ , its unit vector is determined by following expression:

$\hat {u} = \frac{\vec u}{\|\vec u \|}$

Where $\|\vec u \|$ is the norm of $\vec u$ , which is found by Pythagorean Theorem:

$\|\vec u\|=\sqrt{2^{2}+(-3)^{2}}$

$\|\vec u\| = \sqrt{13}$

Then, the unit vector is:

$\hat{u} = \frac{1}{\sqrt{13}} \cdot (2,-3)$

$\hat{u} = \left(\frac{2}{\sqrt{13} },-\frac{3}{\sqrt{13}} \right)$

The unit vector in component form is $\hat{u} = \left(\frac{2}{\sqrt{13} },-\frac{3}{\sqrt{13}} \right)$ or $\hat{u} = \frac{2}{\sqrt{13}}\,i-\frac{3}{13}\,j$ .

6 0

3 years ago

I don’t know how to take a picture on this and send it out for a question

Amanda [17]

Answer:

Where it says "add attachment" with the paper clip, select your picture from there. If you don't know how to do that, take a picture of it with your phone, email it to yourself, and download it on your computer. It should then be in a folder called "downloads" or something similar. Feel free to ask further questions if you're still stuck!

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Write 64 in expanded from

lozanna [386]

Um im guessing 60 +4 or sixty four

3 0

3 years ago