Determine the equation of the line that is parallel to the line 3x-4y-12=0 that passes through the point (-4,-1). Write the equation in slope-intercept form.

Answers

Answer 1

Answer:

y=(3/4)x+2

Step-by-step explanation:

write the equation in slope-intercept form: y=(3/4)x - 3

since it is parallel the slope is the same so we have y=(3/4)x + b

then plug in the point (-1) = (3/4)(-4) + b

-1 = -3 +b, b=2

y= (3/4)x + 2


Related Questions

Write a function, f, whose zeros are -5, -2, and 0.
A) x^3+7x^2-10x
B)x^3-3x^2-10x
C)x^3-7x^2-10x
D)x^3+3x^2-10x

Answers

answer
D)x^3+3x^2-10x

Answer:

Hello,

None !!!

Step-by-step explanation:

[tex]f(x)=x(x+5)(x+2)\\=x(x^2+5x+2x+10)\\\\=x^3+7x^2+10x\\[/tex]

MP=300sp=245 find discount​

Answers

Answer:

55

Step-by-step explanation:

we know ,

discount = M.P - S.P

=300 - 245

= Rs 55

Answer:

22.45%

Step-by-step explanation:

300-245=55

then do like in the pic

5x2y and 7xy2 are like terms.

True
False

Answers

Answer: False

The variable portions x^2y and xy^2 are slightly different, so that's why we don't have like terms here.

Answer:

False

Step-by-step explanation:

Like terms are those terms where they have the same variable

so here

5x2y variables are = 5x and 2y

7xy2 variables are = 7x and y2

you can observe that x variable is same but y variable is not same as 5x3y have 2y whereas 7xy2 have y2#

so the answer is FALSE

What is the reciprocal of 7/9 it’s a fraction by the way

Answers

Answer:

9/7

Step-by-step explanation:

Reciprocal means 1 over the number

1 / (7/9)

1 * 9/7

9/7

Answer:

[tex] = \frac{9}{7} [/tex]

Step-by-step explanation:

Reciprocal means inverse:

[tex] {( \frac{7}{9} })^{ - 1} = (\frac{9}{7} ) {}^{1} \\ \\ = \frac{9}{7} [/tex]

Sofie deposits $45.00 into a new savings account. The account earns 2.5% simple interest per year. No money is added or removed from the savings account for 4 years. What is the total amount of money in her savings account at the end of the 4 years? A. $1.13 C. $49.50 B. $4.50 D. $45​

Answers

Answer:

$49.50

Step-by-step explanation:

First, let's find how much total interest was made

For every year, 2.5% interest was made

Since we're finding the total for 4 years

It will be 4 x 2.5 = 10% total interest

Now let's find 10% of 45

45 x .1 = 4.5

This means we made $4.5 in those 4 years

Now we just add it to our starting amount

45 + 4.5 = 49.5

An older person is 7 years older than five times the age of a younger person. The sum of their ages is 37. Find their ages.

Answers

Answer:

older person: 32 yrs younger person: 5 yrs

Step-by-step explanation:

older person age: o

younger person age: y

o=5y+7

o+y=37

Solve with substitution:

5y+7+y=37

6y+7=37

6y=30

y=5

Plug back in:

o+5=37

o=32

What is the value of x (Khan Academy question)

Answers

Answer:

72

Step-by-step explanation:

Use cross multiplication.

60/20 = x/24

That simplifies to

20x=60(24)

20x=1440

Divide by 20 on both sides to isolate x

x = 1440/20

x = 72

The value of x in the expression 2x/3 - 7 = 5
is
A---8
B---24
C---18
D---36

Answers

Answer:

C. 18

Step-by-step explanation:

2x/3 - 7 = 52x/3 = 5 + 72x/3 = 122x = 3*122x = 36x = 36/2x = 18

Correct choice is C

[tex]\\ \sf\longmapsto \dfrac{2x}{3}-7=5[/tex]

[tex]\\ \sf\longmapsto \dfrac{2x-21}{3}=5[/tex]

[tex]\\ \sf\longmapsto 2x-21=5(3)[/tex]

[tex]\\ \sf\longmapsto 2x-21=15[/tex]

[tex]\\ \sf\longmapsto 2x=15+21[/tex]

[tex]\\ \sf\longmapsto 2x=36[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{36}{2}[/tex]

[tex]\\ \sf\longmapsto x=18[/tex]

How many more unit tiles must be added to the function f(x)=x2−6x+1 in order to complete the square? 1 6 8 9

Answers

Answer:

easy

Step-by-step explanation:

8

Answer:

its 8

Step-by-step explanation:

If you randomly choose a number from 1 to 10 and multiply them together, what is the probability that the number ends in a 0?

Answers

the answer is 1/5 or 1:5

what is
4c ÷ 3 if c=6

Answers

Answer:

8

Step-by-step explanation:

4c ÷ 3

Plug in:

4c ÷ 3

4(6) ÷ 3

24 ÷ 3 = 8

Hope this helped.

Answer:

8

Step-by-step explanation:

4(6)/3 = 24/3 = 8

4 times 6 is done first because you do multiplication/division first from left to right according to PEMDAS.

In math class, Jose earns 10 points for each A in his homework. If he already has 50 points, how many A’s does he need to get 120 points?

Answers

Answer jose needs to get 7 more A's because 5+7=12 so if 50+70=120 then he will need to get 7 more a's hope this helps :)

Step-by-step explanation:

Answer:

He needs 7 A's.

Step-by-step explanation:

The pictures.

Hope this helps!!! :)

what is the equation of the line that passes through (1,5) and (3,1)

Answers

Answer:

Below

Step-by-step explanation:

First let's find m

     m = Δy / Δx = y2 - y1 / x2 - x1

         = 1 - 5 / 3 - 1

         = -2

Now to find b, you can sub in the values of (x,y) for (1,5)

5 = (-2)(1) + b

-b = -2 - 5

-b = - 7

b = 7

Final equation

y = -2x + 7

Hope this helped!

Answer:

4x + 2y - 14

Step-by-step explanation:

I hope it is understandable.

Noah had to water 7 plants. Each plant needed 14 ounces of water. Noah multiplied to find out how much water he would need. Which equation shows the addition equation he could use to check his answer?

14 + 14 + 14 + 14 + 14 + 14 = 84
14 + 7 = 21
14 + 14 + 14 + 14 + 14 + 14 + 14 = 98
7 + 7 + 7 + 7 + 7 + 7 + 7 = 49

Answers

Answer:

n3 14 + 14 + 14 + 14 + 14 + 14 + 14 = 98

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

If you save a hundred dollars every two weeks for five years how much money would you have?

Answers

Answer:

$13,000

Step-by-step explanation:

52 weeks in a year means 26 two week periods (fortnights, if you feel it is important in social studies). This means 2600 dollars per year. Multiplty by 5 to get $13,000. Hope this helps!

At Pontotoc Middle School there are only
7th and 8th graders. There are 15x + 13xy + 10y
students. There are 8x + 8xy + 8y 8th graders.
How many 7th graders are there?

Answers

Answer:

So what we need to do is find out how many are left after taking away the 8th graders.

15x - 8x =  7x

so we have part of that

7x

Then 13xy - 8xy

5xy

10y - 8y

2y

this means that for 7th graders its

7x + 5xy + 2y

Step-by-step explanation:

Answer:

7x + 5xy + 2y is the number of 7th graders in the school.

Step-by-step explanation:

We are told that the total number of students is 15x + 13xy + 10y for both, 7th and 8th grade. We are also told that there are 8x + 8xy + 8y 8th graders. Incase you weren't able to figure out by this detail, we need to subtract to find the answer. We need to subtract the total students, 15x + 13xy + 10y, from the 8th graders, 8x + 8xy + 8y.

The steps would look like this:

   15x + 13xy + 10y

— 8x + 8xy + 8y

---------------------------

  7x + 5xy + 2y

15 - 8 = 7

13 - 8 = 5

10 - 8 = 2

Select the correct answer. Consider this system of equations, where function f is quadratic and function g is linear:

y = f(x)

y = g(x)



Which statement describes the number of possible solutions to the system?

A. The system may have no, 1, 2, or infinite solutions.

B. The system may have no, 1, or infinite solutions.

C. The system may have 1 or 2 solutions.

D. The system may have no, 1, or 2 solutions

Answers

Answer:

C is the answer

Step-by-step explanation:

Quadratic equations have at most 2 solution, and linear equations only have 1 solution, and since y is equal to both of them, it can only have 1 or 2 solutions.

The correct answer is option D.  The system may have no, 1, or 2 solutions

What is quadratic equation?

A quadratic equation is a second-order polynomial equation in a single variable x , ax²+bx+c=0. with a ≠ 0 .

f(x) is a quadratic function and g(x) is linear function

y=f(x)

y=g(x)

Quadratic equations have at most 2 solution

linear equations only have 1 solution,

f(x)=g(x)=y

y is equal to both of them, it can only have 1 or 2 solutions.

A line and a parabola can intersect zero, one, or two times

Therefore, a linear and quadratic system can have zero, one, or two solutions

Hence, the correct answer is option D.  The system may have no, 1, or 2 solutions

To learn more on Quadratic equation click:

https://brainly.com/question/17177510

#SPJ2

x²-2x=8
x² - 2x - 8 = 0
x² - 2x - 4x = 0
(x - 2) (x - 4)=0

x - 2 =0 therefore x = 2
or
x - 4 =0 therefore x = 4​

Answers

Answer:

x=4   x = -2

Step-by-step explanation:

x²-2x=8

Subtract 8 from each side

x^2 -2x-8 = 8-8

x^2 -2x  -8=0

What two numbers multiply to -8 and add to -2

-4*2 = -8

-4+2 = -2

(x-4) (x+2) =0

Using the zero product property

x-4 =0   x+2 =0

x=4   x = -2

A survey of 700 people revealed 45% were planning to vote for a political party at the upcoming election. How many people is this?

Answers

Answer 315 people.

Step-by-step explanation:

Answer:

315

Step-by-step explanation:

45% is part of the 700 people who vote for a political party at the upcoming election.

Step 1. Use [tex]\frac{part}{whole} =\frac{part}{whole}[/tex] where 45% is part of the 700 people

Answer: [tex]\frac{45}{100} =\frac{?}{700}[/tex]

Step 2. Divide 45 by 100

Answer: 0.45

Step 3. Multiply it by 700

Answer: 315

so 315 people were planning to vote for a political party

given m||n, find the value of x and y

Answers

Answer:

x = 145, y = 35

Brainliest, please!

Step-by-step explanation:

y = 35 degrees because it and the original 35 degree angle are alternate interior angles. Alternate interior angles are congruent, or the same.

x is supplementary to y. x + y = 180. x + 35 = 180. x = 180 - 35. x = 145

Find the value of x in the given
right triangle.
10
х

Answers

Answer:

44.4

Step-by-step explanation:

Since we have a right triangle, we can use trig functions

sin theta = opp / hyp

sin x = 7/10

Taking the inverse sin of each side

sin^-1 (sin x) = sin^-1(7/10)

x = 44.427

Rounding to the nearest tenth

x = 44.4

WILL GIVE BRAINLIEST AND 30 POINTS!
Admission to a baseball game is $5.00 for general admission and $7.00 for reserved seats. The receipts were $6192.00 for 1136 paid admissions. How many of each ticket were sold? (Round to nearest integer if necessary.)
_ general admissions tickets sold
_ reserved seating tickets sold

Answers

Answer:

General admissions sold: 880

Reserved seating sold: 256

Step-by-step explanation:

Set up equation:

Variable x = people who bought general admission

Variable y = people who bought reserved seating

x + y = 1136

5x + 7y = 6192

Isolate a variable in any equation:

Y = 1136 - x

Substitute the value of the variable in the other equation:

5x + 7(1136 - x) = 6192

5x + 7952 - 7x = 6192

-2x + 7952 = 6192

-2x = -1760

x = 880

Substitute the value of x in any equation:

880 + y = 1136

y = 256

Check your work:

880 + 256 = 1136

1136 = 1136

Correct!

5(880) + 7(256) = 6192

4400 + 1792 = 6192

6192 = 6192

Correct!

Write the equation of the line in fully simplified slope - intercept form

Answers

Answer:

y = -2/5x - 4

Step-by-step explanation:

What percentage is 420 grams of 750 grams?
%

Answers

Mark Brainliest please

Answer: 56%

Explanation:

Divide the numerator by the denominator to get fraction's value:

420/750 =

420 ÷ 750 =

0.56

simplify
(-3y)*(-7y)

Answers

Answer:

answer of this question is

21y^2

In order to solve the following system of equations by addition, which of the
following could you do before adding the equations so that one variable will
be eliminated when you add them?
-2x + 4y = 10
3x - 2y = -7
A. Multiply the top equation by 2 and the bottom equation by 3.
B. Multiply the bottom equation by 2.
C. Multiply the top equation by -3.
O D. Multiply the top equation by 3 and the bottom equation by -2.

Answers

Answer:

Multiply the bottom equation by 2

how many secods are in 24 hours​

Answers

Answer:

86400

Step-by-step explanation:

Convert 24 hours to minutes by multiplying 60 to 24

Answer: 60 x 24 = 1440

Then convert minutes to seconds by multiplying 1440 by 60

Answer: 1440 x 60 = 86400

(3x)2 – 7y2, when x = 3 and y = 2

Answers

[tex]3 \times 3 \times 2 - 7 \times 2 \times 2 \\ 18 - 28 \\ - 10[/tex]

Answer:

115

Step-by-step explanation:

(3x)^2 – 7y^2

Plug in:

(3×3)^2 – 7×2^2

9^2 - 14^2

81 - 196

115

Hope this helped.

write 1042000 000 m+ in scientific notification​

Answers

Answer:

1.042 × 109

Step-by-step explanation:

you have to move the decimal from the zero.

Find the value of x.
A.124
B.57
C.72
D.90

Answers

9514 1404 393

Answer:

  x = 90°

Step-by-step explanation:

Half the sum of x and 120° is the angle where the chords cross, 105°. Then ...

  105° = (1/2)(x +120°)

  210° = x + 120°

  210° -120° = x = 90°

_____

Additional comment

z is the arc that finishes the circle: 360° -90° -68° -120° = 82°.

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