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3 years ago

Which answer shows y-x<2x+2 rewritten to isolate y, and it’s graph

Mathematics

1 answer:

alexandr1967 [171]3 years ago

6 0

y - x < 2x + 2

To isolate y, let's add both sides by x.

y - x + x < 2x + 2 + x

y < 3x + 2

That should be your answer for the equation. For the graph, look at the image I attached to my answer~

Happy Studying~

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370 College freshmen were interviewed. 200 were registered for an Advanced Math class. 270 were registered for an English class

frozen [14]

Answer:

Step-by-step explanation:

To aid in understanding, draw three circles...

100 were registered for both Math and English.

50 were registered for both Sport and English but not Math.

70 were registered for Math, Sport, and English.

From here we will be able to calculate for those that signed up for only English class: Total number of students that signed up for english class

a. none signed up only for Maths (refer to attached document)

b. How many signed up for neither Math nor English meaning they signed up for only sports which is 70 from the venn diagram in the attachment.

c. How many signed up for an English class and at least one other class?

From the venn diagram:

we could have an English class and maths class - 100

we could also have an a English class and sports - 50

Thus total is 150.

d. What is the total fee for all the students enrolled in classes

From the diagram, 120 (english only and sport only) enrolled for only one class = 120 x $100 = $12,000

From the diagram, 180 (english and sport, maths and sport and english and maths) enrolled for two classes = 180 x $150 = $27,000

From the diagram, only 70 enrolled for the three classes = 70 x $200 = $14,000

Total fees = $12,000 + $27,000 + $14,000 = $53,000

5 0

4 years ago

Z-2.3 = 0.46 what is z Please help me

ddd [48]

Answer:

Z = 2.76

Step-by-step explanation:

Firstly you must realise that Z - 2.3 = 0.46

Therfore this means you must 2.3 to 0.46 to get Z

2.3+0.46+2.76

5 0

3 years ago

Read 2 more answers

Write the equation of the line that is perpendicular to the line 2x − 3y = 3 and passes through the point (−8, 2).. .A) y = two

Ivahew [28]

First we need to find the slope of the original equation
2x - 3y = 3
-3y = -2x + 3
y = 2/3x - 1....the slope here is 2/3.
However, we need a perpendicular line...so we need to use the negative reciprocal slope. All that means is flip the slope and change the sign.
slope 2/3.....flip.....3/2....change the sign...-3/2.
so our perpendicular line will need a slope of -3/2.

y = mx + b
slope(m) = -3/2
(-8,2)...x = -8 and y = 2
now we sub and solve for b, the y int
2 = -3/2(-8) + b
2 = 12 + b
2 - 12 = b
-10 = b

so our perpendicular line is : y = -3/2x - 10

8 0

4 years ago

Read 2 more answers

Simplify -(3xy^4)^-4

Umnica [9.8K]

Answer:

$\frac{-1}{81x^4y^16}$

Step-by-step explanation:

→Rewrite the expression so that the exponent is no longer negative. To do this, you write it as:

$\frac{-1}{(3xy^4)^4}$

→Apply the exponent (4) to the 3, x, and $y^4$ :

$\frac{-1}{81x^4y^16}$

7 0

3 years ago

The population of a colony of mosquitoes obeys the law of uninhibited growth. if there are 1000 mosquitoes initially and there a

inna [77]

6554 Assuming that the growth the function will be of the form f(n) = P*R^n where P = Initial population R = Growth rate per period n = number of periods In this problem, the only period or interval I see are days. So we'll use n to represent the number of days since the start. The initial population is 1000, and the ratio would be 1600/1000 = 1.6. So the formula becomes f(n) = 1000*1.6^n So let's evaluate that function using n=4. f(n) = 1000*1.6^n f(4) = 1000*1.6^4 f(4) = 1000*6.5536 f(4) = 6553.6 Since we can't have a fractional mosquito, round to the nearest integer, giving 6554.

7 0

3 years ago