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3 years ago

What is the solution to the system of equations?

Mathematics

1 answer:

Scilla [17]3 years ago

4 0

Answer:

A: There is no solution

Step-by-step explanation:

This is not a very likable question.

Y=3x-4

9x-3y=14

Put the y value from the first equation into the second.

9x - 3(3x - 4) = 14 Remove the brackets

9x - 9x + 12 = 14 Combine like terms on the left

12 = 14 When you get this kind of conclusion, that means there is no solution. I'll graph these two for you.

Blue: y =3x - 4

Green: 9x - 3y = 14

They never touch they never meet: they are parallel. They don't give a solution.

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if two positive integers P and Q can be expressed as p = a b square and q equals A cube B where A and B being prime numbers then

vodka [1.7K]

P = ab^2
q = a^3 b

p = a * b * b
q = a*a*a * b

Pairing the duplicates we have LCM = a*a*a*b*b = a^3 b^2 answer

4 0

3 years ago

Samuel is preventing a boulder from rolling down a hill with a slope of 35°. If the boulder

Rashid [163]

Answer:

1,809.98 lb*m/s^2

Step-by-step explanation:

First, we want to know how much weight of the boulder is projected along the path in which the boulder can move.

The weight of the boulder is:

W = 322lb*9.8 m/s^2 = (3,155.6 lb*m/s^2)

This weight has a direction that is vertical, pointing downwards.

Now, we know that the angle of the hill is 35°

The angle that makes the direction of the weight and this angle, is:

(90° - 35°)

(A rough sketch of this situation can be seen in the image below)

Then we need to project the weight over this direction, and that will be given by:

P = W*cos(90° - 35°) = (3,155.6 lb*m/s^2)*cos(55°) = 1,809.98 lb*m/s^2

This is the force that Samuel needs to exert on the boulder if he wants the boulder to not roll down.

3 0

3 years ago

A company has a fleet of 200 vehicles. On average, 50 vehicles per year experience property damage. What is the probability that

ICE Princess25 [194]

Answer:

The probability is $\frac{1}{4}$ or 25%

Step-by-step explanation:

The question states the total number of vehicles, as well as the number of damaged vehicles on a yearly basis. If 50 vehicles in every 200 vehicles per year are damaged, then we can obtain:

Probability of a damaged vehicle in any given year = $\frac{Number of Damaged Vehicles}{Total Number of Vehicles}$

= $\frac{50}{200}$ = $\frac{1}{4}$ or 25%

4 0

3 years ago

Which statement is always true?

kykrilka [37]

So the answer is that the negative export cannot be part of an expressions numerator here is a website that can help you know or explain more my my answer hope this helped https://www.purplemath.com/modules/exponent2.htm or this website

7 0

3 years ago

Liam is making barbecue ribs over a fire. The internal temperature of the ribs when he starts cooking is 40°F. During each hour

Soloha48 [4]

Answer: You need to wait at least 6.4 hours to eat the ribs.

t ≥ 6.4 hours.

Step-by-step explanation:

The initial temperature is 40°F, and it increases by 25% each hour.

This means that during hour 0 the temperature is 40° F

after the first hour, at h = 1h we have an increase of 25%, this means that the new temperature is:

T = 40° F + 0.25*40° F = 1.25*40° F

after another hour we have another increase of 25%, the temperature now is:

T = (1.25*40° F) + 0.25*(1.25*40° F) = (40° F)*(1.25)^2

Now, we can model the temperature at the hour h as:

T(h) = (40°f)*1.25^h

now we want to find the number of hours needed to get the temperature equal to 165°F. which is the minimum temperature that the ribs need to reach in order to be safe to eaten.

So we have:

(40°f)*1.25^h = 165° F

1.25^h = 165/40 = 4.125

h = ln(4.125)/ln(1.25) = 6.4 hours.

then the inequality is:

t ≥ 6.4 hours.

4 0

3 years ago