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3 years ago

Help me with these questions please!!!

Mathematics

1 answer:

kumpel [21]3 years ago

3 0

Answer: Here are all of the answers to the best of my ability :)

1: Solve the following equation for “y”:

3y - 4x = 15

Steps:

1. Add 4x to both sides. 3y = 4x + 15

2. Divide both sides by 3. Y= 4/3x + 5

Final answer: y= 4/3x + 5

————————————————————-

2. Write an equation in slope intercept form for a line that passes through the y axis at 5 and has a slope of -3.

Slope intercept form: y = mx + b

B= y intercept

Mx= slope

Equation: y = 3x + 5

———————————————————————————————————

3. Is (-2, 6) a solution of -3y + 5y = 4x?

Steps:

1. -3(6) + 5(6) = 4x

2. -18y + 30y = 4x

3. 12 = 4x

4. Rewrite the equation: 4x = 12

5. Divide by 4 on both sides

6. x = 3

Yes, this is a solution to -3y + 5y = 4x

————————————————————————-

4. Write the following equation in slope intercept form: x + 8y = 30

1. Add negative 8y to both sides. X = -8y + 30

Answer: x= -8y + 30

——————————————————————————-

5. Graph this equation: 2x + 5y = 20

That’s all I could find. Sorry if I made I mistake. Have a good day!

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There are 130 people in a sport centre. 73 people use the gym. 62 people use the swimming pool. 58 people use the track. 22 peop

Delvig [45]

Answer:

$\frac{11}{87}$

Step-by-step explanation:

Total number of people = 130

Number of people who use the gym = 73

Number of people who use the pool = 62

Number of people who use the track = 58

Number of people who use the gym and the pool = 22

Number of people who use the pool and the track = 29

Number of people who use the gym and the track = 25

Number of people who use all three facilities = 11

Total number of people who use at least two facilities = 22 + 29 + 25 + 11 = 87

The probability that the randomly selected person uses all three facilities = number of those who use all three facilities ÷ total number of people who use at least two facilities.

==> 11 ÷ 87

==> $\frac{11}{87}$

3 0

3 years ago

A triangle has side lengths of 15, 10, and 7. Is this triangle a right triangle

Montano1993 [528]

Answer:

Step-by-step explanation:

Apply Pythagorean theorem: a2 + b2 = c2

The sum of the squares of the legs of a right triangle equals the square of its hypotenuse.

I hope this answer will help you. Have a nice day !

4 0

3 years ago

Please help!! Math | 25 points :)

arlik [135]

Values of the composite function:

$(g\cdot f)(-1)=6$

$(g\cdot f)(0)=7$

$(f\cdot g)(-1)=3$

$(f\cdot g)(4)=2$

Step-by-step explanation:

Given two functions f(x) and g(x), their composite function is given by

$(f\cdot g)(x) = f(g(x))$

Which means using the output value of g(x) as input for f(x).

Let's start by computing

$(g\cdot f)(-1)$

First, we compute the value of f(-1), which is (from the graph)

f(-1) = 1

Now we use this value as input into g(x); we notice that at x = 1, the value of g(x) is 6, therefore:

$(g\cdot f)(-1)=6$

Now we evaluate

$(g\cdot f)(0)$

First, we compute the value of f(0), which is (from the graph)

f(0) = 0

Now we use this value as input into g(x); at x = 0, the value of g(x) is 7, therefore:

$(g\cdot f)(0)=7$

Now we evaluate

$(f\cdot g)(-1)$

First, we compute the value of g(-1), which is (from the graph)

g(-1) = 5

Now we use this value as input into f(x); at x = 5, the value of f(x) is 3, therefore:

$(f\cdot g)(-1)=3$

Finally we evaluate

$(f\cdot g)(4)$

First, we compute the value of g(4), which is (from the graph)

g(4) = 4

Now we use this value as input into f(x); at x = 4, the value of f(x) is 2, therefore:

$(f\cdot g)(4)=2$

Learn more about composite functions:

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#LearnwithBrainly

6 0

3 years ago

Please help!! 50 points

Helga [31]

Answer:

4,left,4,down

Step-by-step explanation:

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What figure has one endpoint and continues forever in one direction? A. Angle B. Line C. Ray D. Line Segment

quester [9]

The answer to your question is Ray

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2 years ago

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