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3 years ago

Substitute 3y+2 for x in the second equation 2(3y+2)-5y=2

Mathematics

1 answer:

MissTica3 years ago

7 0

Answer:

The answer is y=-2

Step-by-step explanation:

multiply the 2 on the outside of the parenthesis to the inside. giving you 6y+4-5y=2. subtract 5y from 6y and get y. the equation is now y+4=2. subtract 4 from the two and get negative 2. the equation is now y=-2

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Explain how to find vertical and horizontal asymptotes of a rational equation.

AleksandrR [38]

Answer:

Step-by-step explanation: If the degree (the largest exponent) of the denominator is bigger than the degree of the numerator, the horizontal asymptote is the x-axis (y = 0).

If the degree of the numerator is bigger than the denominator, there is no horizontal asymptote.

8 0

3 years ago

Margaret uses a credit card with a 21.7% APR compounded monthly to pay for her car repairs totaling $692.77. She can pay $290 pe

igomit [66]

Answer:

B. $715.21

Step-by-step explanation:

Apparently, Margaret makes her first payment after she has incurred a finance charge on the amount.

At the end of the first month, the balance due is ...

... 692.77×(1 + 0.217/12) = 705.30

At the end of the second month, the balance due is ...

... (705.30 -290)×(1 +0.217/12) = 422.81

At the end of the third month, the balance due is ...

... (422.81 -290)×(1 +0.217/12) = 132.81

Margaret makes total payments of $290×2 +132.81 = $712.81

Of the choices listed, the best selection is ...

... B. $715.21

_____

Comment on the answer choice

The total $715.21 seems to also include a finance charge on the final payment amount. (It actually includes a charge on $132.72, which is slightly different from the final payment amount.) There will not be any such charge, so the available answer choices are all in error.

Actually, we expect the total cost to be closer to $702.25, because we expect that Margaret will make her first payment before any finance charges are incurred.

_____

You should ask your teacher to show you in detail how to work this problem.

3 0

2 years ago

Read 2 more answers

If your grade is a 93% and you got 20 points taken off your grade, what will your new grade be?

vodka [1.7K]

Your grade would be 73%

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3 years ago

Find the ordered pairs for x and y intercepts of the equation 3x - 2y =18

My name is Ann [436]

   3x - 2y = 18
Wherever the line crosses the
x-axis, y=0.    3x        = 18
   x = 6
The x-intercept is (6, 0) .

   3x - 2y = 18
Wherever the line crosses the
y-axis, x=0.    - 2y = 18
   y = -9
The y-intercept is    (0, -9) .

8 0

3 years ago

Read 2 more answers

Forty percent of households say they would feel secure if they had $50,000 in savings. you randomly select 8 households and ask

Kay [80]

Answer:

Let X be the event of feeling secure after saving $50,000,

Given,

The probability of feeling secure after saving $50,000, p = 40 % = 0.4,

So, the probability of not feeling secure after saving $50,000, q = 1 - p = 0.6,

Since, the binomial distribution formula,

$P(x=r)=^nC_r p^r q^{n-r}$

Where, $^nC_r=\frac{n!}{r!(n-r)!}$

If 8 households choose randomly,

That is, n = 8

(a) the probability of the number that say they would feel secure is exactly 5

$P(X=5)=^8C_5 (0.4)^5 (0.6)^{8-5}$

$=56(0.4)^5 (0.6)^3$

$=0.12386304$

(b) the probability of the number that say they would feel secure is more than five

$P(X>5) = P(X=6)+ P(X=7) + P(X=8)$

$=^8C_6 (0.4)^6 (0.6)^{8-6}+^8C_7 (0.4)^7 (0.6)^{8-7}+^8C_8 (0.4)^8 (0.6)^{8-8}$

$=28(0.4)^6 (0.6)^2 +8(0.4)^7(0.6)+(0.4)^8$

$=0.04980736$

(c) the probability of the number that say they would feel secure is at most five

$P(X\leq 5) = P(X=0) + P(X=1) + P(X=2) + P(X=3) + P(X=4) + P(X=5)$

$=^8C_0 (0.4)^0(0.6)^{8-0}+^8C_1(0.4)^1(0.6)^{8-1}+^8C_2 (0.4)^2 (0.6)^{8-2}+8C_3 (0.4)^3 (0.6)^{8-3}+8C_4 (0.4)^4 (0.6)^{8-4}+8C_5(0.4)^5 (0.6)^{8-5}$

$=0.6^8+8(0.4)(0.6)^7+28(0.4)^2(0.6)^6+56(0.4)^3(0.6)^5+70(0.4)^4(0.6)^4+56(0.4)^5(0.6)^3$

$=0.95019264$

8 0

3 years ago