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djyliett [7]
2 years ago
15

Which phrase matches the algebraic expression below?

Mathematics
1 answer:
Stella [2.4K]2 years ago
8 0

Answer:

O Two times x minus seven plus ten

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The graph below represents which system of inequalities? graph of two infinite lines that intersect at a point. One line is soli
stiks02 [169]
The first line through points (-3, 0) and (-4, -1) is the orange line.

The second line, through (1, 1) and (2, -1) is the purple line.

Since they are both shaded below, the intersection of the shaded regions, is the region colored in blue.

Both lines are included, since they are solid lines.



The equation of the first line can be found as follows:

the slope is \frac{0-(-1)}{-3-(-4)}=\frac{1}{1}=1, thus, the equation is:
y-0=1(x-(-4))\\\\y=x+4


The equation of the second line can be found as follows:

the slope is \frac{1-(-1)}{1-2}= \frac{2}{-1}=-2, 

thus the equation of the second line is :


y-1=-2(x-1)\\\\y-1=-2x+2\\\\y=-2x+3


We have to decide on the direction of the inequality sign, so we pick a point, for example (0, 4) which is not in the colored regions of the lines, 

so we write the inequalities so that they do not hold for (0, 4)


line 1:

y≥x+4

4≥0+4=4 is true, so we change the sign and write : y≤x+4


similarly, line 2:

y≤-2x+3

4≤-2*0+3=3, which is not true, so we have the correct direction.


Note that since the lines were solid, we include the equality case:


Answer: 

the shaded region is the solution to the system of inequalities:

i) y≤x+4
ii) y≤-2x+3

3 0
2 years ago
Read 2 more answers
Add: 3 1/5 + 2 2/3 PLEASE HURRY IM TIMED AND JUST PEASE HELP ME
Studentka2010 [4]

Answer:

5.86666666667

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
A basketball player made 25 baskets in a season. Of these, 36% were three-point shots. How many three-point shots did he make? A
denis-greek [22]
<span>36% of 25 baskets were three-point shots
 = 0.36 x 25
= 9

So the correct answer is <u>D. 9</u></span>
4 0
3 years ago
B. Now, assume that all of these circles have a radius of two. Then, calculate the ratio of a proximate circumference to the dia
Alenkasestr [34]

Answer:

I think b is the answer hopefilly

5 0
2 years ago
Read 2 more answers
ou watch a roulette wheel spin 3 consecutive times and each time the ball lands in a red slot. What is the | probability that th
spayn [35]

Answer:

The probability is \frac{18}{38}=0.4736

Step-by-step explanation:

The game of roulette wheel consists in spinning a wheel with 38 slots : 18 red, 18 black and 2 green.

If we suppose that the roulette is a fair roulette, then each slot has an equal chance of capturing the ball and given that the ball lands in a red, black or green slot this event doesn't give us information about the following spin. Meaning that exists independence between each spin of the roulette wheel.

In our exercise, we spin the roulette wheel 3 consecutive times and each time the ball lands in a red slot. This doesn't give us information about the fourth spin (because of the independence).

Given that each slot has an equal chance of capturing the ball we can calculate the probability of the ball landing on a red slot on the next spin as :

P(Red)=\frac{18}{38}=0.4736

We divide the favourable cases (18 red slots) by the total cases (38 slots) in order to calculate the probability.

The probability is \frac{18}{38}=0.4736

6 0
2 years ago
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