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3 years ago

Which of the following points is not a solution of the inequality y ≥ |x| + 3? (-3, 0) (-3, 6) (0, 4)

2 answers:

7 0

If y has to be greater than or equal to |x| + 3, we can use the points to find which is not a solution.

(-3,0): 0 ≥ |-3| + 3 → 0 ≥ 6

This is not a solution to the inequality, thus (-3,0) would be your answer.

jeka943 years ago

4 0

The correct answer is (-3,0)

You might be interested in

Why is it not possible to know the exact value of an irrational number?

Firdavs [7]

Answer:

An irrational number has a repeating decimal digits that continues on infinitely

Step-by-step explanation:

6 0

3 years ago

Question 5^ Need help ... ASAP ... your help is really appreciated ...

goblinko [34]

Answer:

See below

Step-by-step explanation:

I think we had a question similar to this before. Again, let's figure out the vertical and horizontal distances figured out. The distance from C at x=8 to D at x=-5 is 13 units while the distance from C at y=-2 to D at y=9 is 11 units. (8+5=13 and 2+9=11, even though some numbers are negative, we're looking at their value in those calculations)

Next, we have to divide each distance by 4 so we can apply it to the ratio. 13/4= $\frac{13}{4}$ and 11/4= $\frac{11}{4}$ . Next, we need to read the question carefully. It's asking us to place the point in the ratio 3 to 1 from C to D. The point has to be closer to endpoint D because of this. Let's take each of our fractions, multiply them by 3, then add them towards the direction of endpoint D to get our answer (sorry if that sounds confusing):

$\frac{13}{4}*3 = \frac{39}{4}\\ 8-\frac{39}{4} = \frac{-7}{4}\\\frac{11}{4}*3 = \frac{33}{4} \\-2+\frac{33}{4} = \frac{25}{4}$

Therefore, our point that partitions CD into a 3:1 ratio is ( $\frac{-7}{4}, \frac{25}{4}$ ).

I'm not sure if there was more to #5 judging by how part B was cut off. From what I can understand of part B, however, I believe that Beatriz started from endpoint D and moved towards C, the wrong direction. She found the coordinates for a 1:3 ratio point.

Also, for #6, since a square is a 2-dimensional object, the answer needs to be written showing that. The answer for #6 is 9 units^2.

7 0

3 years ago

A water tank holds 200 gallons but is leaking at a rate of 3 gallons per week. A second water tank holds

vlada-n [284]

200-3w = 300-5w

Where w is the number of weeks

Rearrange and reduce:
-3w + 5w = 300-200
2 w = 100
w = 100/2 = 50 weeks

5 0

3 years ago

Leanne multiplied 8 x 4.3 and got 32.24. Is Leanne correct?Use an area model to explain your answer

dlinn [17]

Answer:

No, not correct.

Step-by-step explanation:

Note that 8 * 4.3 can be broken up as follows:

8 * (4 + 0.3)

and that 4*8 =32, and that 0.3(8) = 2.4 (not 0.24).

Then 8 * (4 + 0.3) becomes 32 + 2.4 = 34.4

3 0

3 years ago

HELP ASAP PLEASEEEEEEEEEE

Andrew [12]

Given the recursive formula, each terms is five time the previous one.

This means that:

$f(6)$ is 5 times $f(5)$ , which means $f(6)=5f(5)$
in turn, $f(5)$ is 5 times $f(4)$ , so we have $f(5)=5f(4)$ . This means that $f(6)=5f(5)=5\cdot 5f(4) = 25f(4)$
Finally, $f(4)=5f(3)$ So, substituting this back gives

$f(6)=25f(4)=25\cdot 5f(3)=125f(3)$

In general, since you have $f(n)=5f(n-1)$ , each time you compute a new term you multiply by a factor of 5, so if $m=n+k$ , you have

$f(m)=5^kf(n)$

4 0

2 years ago