Find the equation of the line given the following

Find The Equation Of The Line Given The Following

Answers

Answer 1

Answer:

1. y = -10x + 6

2. y = -x - 6

3. y = 13x + 110

4. y = -5x + 47

5. y = 7/4 x -7

Step-by-step explanation:

2. m = - 1 and Y-intercept: -20 - (- 1)(14) = -6

3. m = 13 and Y-intercept: -7 - (13)(- 9) = 110

4. (10,-3) and (7,12)

Slope = (12 - - 3)(7- 10) = 15/-3 = -5

y- intercept = 12 - (-5)(7) = 47

5. (4,0) and (0, -7)

Slope: (-7-0)/(0-4) = -7/-4 = 7/4

y-intercept: -7 - 7/4)(0) = -7


Related Questions

Solve for b.

b+23=114

Enter your answer as a fraction in simplest form in the box.

b =

Answers

b = 91

b + 23 = 114
- 23 - 23
b = 91

Not quite sure how this would appear as a fraction.

An equation is a collection of variables and constants. The value of b for the given equation b + 23 = 114 will be 91.

What is the equation?

There are many different ways to define an equation.

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

More than one variable may be present inside a linear equation.

As per the given equation,

b + 23 = 114

Add -23 both sides

b + 23 - 23 = 114 - 23

b + 0 = 91

b = 91

Hence "An equation is a collection of variables and constants. The value of b for the given equation b + 23 = 114 will be 91".

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HELP THIS IS DUE TOMORROW!!!!,Use a balance scale to solve the
following equation for the value of b.
17 + b = 35

Answers

Answer:

Step-by-step explanation:

just do 35-17

Answer:

Step-by-step explanation:

first find b.

To find b, subtract 17 from 35.

35 - 17 = b

35 - 17 = 18

next, add 17 and 18 to see if it equals 35.

17 + 18 = 35

so, b = 18.

the capacity of a water tank is 1000 litres if 7/10 parts is emptied how many litres of water is left?​

Answers

Answer:

700 liter

Step-by-step explanation:

because 1000 * 7/10 is 700

When the input of the function is -1, What is the output of the function?

Answers

Answer:

2

Step-by-step explanation:

The graph clearly shows that when x = -1, y = 2.

Thus, the output of this function is 2.

158) -.- A) P-3 in B) P-86 C) P-92 in D) P96 4​

Answers

Answer:

P = 83 in

Step-by-step explanation:

For this one, all we need to do is substitute 7 for x and 4 for y:

3x + y = ?

3(7) + 4 =?

21 +4 = ?

21 + 4 = 25 in.

Now for the next one:

4y = ?

4(4) = ?

4(4) = 16

Now we solve the final side:

6x = ?

6(7) = ?

6(7) = 42

Now to find P, we must add them all together:

25 + 16 + 42 = 83

Therefore P = 83

Answer:

A) P = 83

Step-by-step explanation:

-=======================-

3x + y

3(7) + 4 =

21 + 4 =

25

-=======================-

6x

6(7)

42

-=======================-

4y

4(4)

16

-=======================-

25 + 16 + 42 = 83

Hope this helps.

9/10 - _ = 1/5 mathematics

Answers

Answer:

x=7/10

Step-by-step explanation:

1/5=2/10

9/10-       =2/10

Substitute the blank with X

9/10-  X  =2/10

x=7/10

Answer:

7/10

Step-by-step explanation:

9/10 - _ = 1/5

Let's represent the unknown as x

Therefore,

9/10 - x = 1/5

9/10 - 1/5 = x

x = 9/10 - 1/5 = 7/10

NEED HELP ASAP (ILL GIVE BRAINLIST)

Answers

Answer:

the answer is 33 9/11

Step-by-step explanation:

multiply the fractions

.

.

Answer:

33 9/11

Step-by-step explanation:

22 6/11 x 1 1/2

Convert into improper fractions.

248/11 x 3/2

Reduce the numbers with the greatest common factor 2.

124/11 x 3

Calculate

372/11

=33 9/11

Hope this helps :)

Write the ratio as a fraction: 630kilometers in 5hours. Simplify your answer.

___ km/hour

Answers

Answer:

126/1=126

Step-by-step explanation:

630:5 as a fraction would be 630/5.

630/5 simplified would be 126/1.

Hope this helps :)

Answer:

630:5 would be 126:1

Step-by-step explanation:

To solve this we would divide 630 by five giving us 126, and divide 5 by 5 giving us one

Now we have 126:1, or 126 km/hour

Brian has half of his investments in stock paying a 5% dividend and the other half in a stock paying 9% interest. If his total annual interest is $420, how much does he have invested?

Answers

The amount invested in each stock, the stock interest rate and the

duration of the investment, determines the interest.

Brian invested $3,000 in the stock that pays 5% dividend and $3,000 in the stock that pays 9% to make a total investment of $6,000.

Reasons:

Let X represent the sum of the amount Brian invested, we have;

Amount invested in stock paying 5% dividend = [tex]\dfrac{X}{2}[/tex]

Amount invested in stock paying 9% dividend = [tex]\dfrac{X}{2}[/tex]

Total annual interest = $420

Required:

The amount invested in the stocks

Solution:

The amount invested is found as follows;

[tex]\dfrac{X}{2} \times 5\% + \dfrac{X}{2} \times 9\% = 420[/tex]

0.025·X + 0.045·X = 420

0.07·X = 420

[tex]\displaystyle \mathrm{The \ amount \ invested , \, X} = \frac{420}{0.07} = \mathbf{ 6,000}[/tex]

The amount he invested = $6,000 ($3,000 in each stock)

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The graph of y = (x -k)? is shown below.
у
61
5
لما له
1
-3-2-1
1 2 3 4 5 6 7
X
1
-2
-3
What is the value of k?

Answers

Answer:

(7) 3 2 2x 23 xy y - 10 0 Solution The equation 2x2 23xyy2-100 has A2,B 23, and (1 13) as p3 (Example 2). 13: 271279. 2 m) long and 6 ft Step-by-step explanation:

write this fraction as a decimal use bar notation if neccesary
3 15/44

Answers

Answer:

3.34

Step-by-step explanation:

First step: 3x44=132, 132+15=147. Then use 147 as numerator and 44 as denominator.

Second step: Divide 147/44= 3.3409090909091, round and get 3.34.

Hope this helps.

A survey 3,000 who bought a new car showed that 900 had problems. What is the relative frequency of the people that had problems. show steps for me

Answers

Answer:

30%

Step-by-step explanation:

Presuming that "survey 3,000" is the total and "900" is the factor who had problems then dividing the total amount by the amount of problems like equal the relative frequency of people that had problems

Math:

Amount of people you had problems / Amount of people who bought the new car.

900 / 3000 = 0.3

Now you need to multiply by 100% (because % in this case is a unit/measurement)

0.3 * 100% = 30%

The function f(t) = t2 + 4t - 14 represents a parabola.

Part A: Rewrite the function in vertex form by completing the square. Show your
work.

Part B: Determine the vertex and indicate whether it is a maximum or a minimum on
the graph. How do you know?

Part C: Determine the axis of symmetry for f(t).

Answers

Answer:

a: [tex]f(t)=(t+2)^2-18[/tex]

b: vertex: (-2, -18)

   minimum

c: x = -2

Step-by-step explanation:

Completing the square is difficult to explain in words. but I'll try my best. Let me know if you need any more information.

Part A ===============

Start with the given function in this form:

[tex]f(x)=ax^2+bx+c\\t^2+4t-14[/tex]

We need an additional number, d, and we'll calculate it like this:

[tex]d=(\frac{b}{2a})^2 \\\\d=(\frac{4}{2(1)} )^2\\d=2^2\\d=4[/tex]

d needs to be added and subtracted at the same time. That way we do not change the value of the expression:

[tex]ax^2+bx+d-d+c\\\\t^2+4t+4-4-14[/tex]

And you can separate them like this to make it easier to read:

[tex](t^2+4t+4) + (-4-14)\\(t^2+4t+4)-18[/tex]

Finally, we need to factor the trinomial in the parenthesis. Because we've completed the square, it's now a perfect square trinomial.  The factored form is just:

[tex](x+e)^2[/tex]

where e is half of b, or the square root of c. That looks like this in our case, and you can also expand it to make sure.

[tex](t+2)^2\\\\(t+2)(t+2)\\t^2+2t+2t+4\\t^2+4t+4[/tex]

Put that all together and you get the answer:

[tex]f(t)=(t+2)^2-18[/tex]

Part B ===============

Vertex form is this:

[tex]f(x)=a(x-h)^2+k[/tex]

where (h, k) is the vertex and a is the scale factor.

In part A, we converted the given function into vertex form. Looking at that, you can see the vertex is at (-2, -18), and the scale factor is 1. When the scale factor is positive, the parabola faces upwards. When it's negative, the parabola faces downwards.

The scale factor is a positive 1 in this case, and if you picture that in your mind, the vertex is at the very lowest point, or the minimum, of the parabola.

Part C ==============

The axis of symmetry is always on the vertex, and that is because the vertex is the exact point where the parabola changes direction from positive to negative, or negative to positive.

The vertex of this parabola is (-2, -18), so the axis of symmetry is at x = -2.

Sorry if that got too long and hard to follow, I can clarify any part of it if needed.

"HKA
Erloka borrowed money from her brother to buy a new phone, and is paying off a fixed amount
each week

Answers

Answer:

$76

Step-by-step explanation:

There is a puddle 1.4 cm deep in your backyard. After one minute of rain, the puddle was 1.45 cm deep. The puddle was 1.5 cm deep after it rained for two minutes. If the pattern continues, how deep will the puddle be after it rains for 45 min?

Answers

Answer:

I know answer. give me money I will tell everything..

A photo is 4 inches tall and 6 inches wide. To be proportional, how tall would the photo need to be if it were 10 inches wide?

Answers

Answer:

6[tex]\frac{2}{3}[/tex] inches tall

Step-by-step explanation:

4:6 = x:10

We can set it up like this:

[tex]\frac{4}{6}=\frac{x}{10}[/tex]

And then cross multiply & solve:

40 = 6x

6[tex]\frac{2}{3}[/tex] = x

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Select the geometric figure that correctly matches with the following formula:

A=[tex]\pi r^{2}[/tex]

Answers

Answer:

Circle

Step-by-step explanation:

The area of a circle is

[tex]\pi r^{2}[/tex]

A. circle

The area of a circle is 2[tex]\pi[/tex]

What is the formula for the circle?

The Circle Formulas are expressed as,

the Diameter of a Circle. D = 2 × r. Circumference of a Circle. C = 2 × [tex]\pi[/tex] × r.Area of a Circle A = 2[tex]\pi[/tex]

The collection of all points equidistant from a fixed point in a plane is called a circle.

the circle is a closed 2-dimensional figure in which the set of all the points in the plane is equidistant from a given point called the “center”. Every line that passes through the circle forms the line of reflection symmetry.

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1/2(-4+6x)=1/3x+2/3(x+9)

Answers

Answer:

X=4

Step-by-step explanation:

1. Simplify the expression

2. Multiply the fractions:

3. Break up the fraction:

4. Find the greatest common factor of the numerator and denominator:

5. Factor out and cancel the greatest common factor:

6. Simplify the fraction:

7. Multiply the fractions:

8.Solve by distributing:

9. Simplify the arithmetic:

10.Break up the fraction:

11. Find the greatest common factor of the numerator and denominator:

12. Factor out and cancel the greatest common factor:

13.Combine the fractions:

14. Combine the numerators

15. Find the greatest common factor of the numerator and denominator:

16. Factor out and cancel the greatest common factor:

17. Simplify the right side:

A loan is paid in 15 years with a total of $192.000. It had a 4% interest rate that compounded monthly. What was the principal?

Round your answer to the nearest dollar and do not include dollar sign

Answers

I really don’t know but I feel like if it’s 4% it should be the nearest

A store pays $306.56 for a refrigerator. The store marks up the price by 29%. What is the amount of the mark-up?

Answers

The price of the mark up would be 395.4624

I got this by doing:
306.56 x 29/100 = 88.9024
88.9024 + 306.56 = 395.4624

306.56x29%= 88,9024
306.56-88,9024= 217,6576

b. Symbols Write an expression for the number of feet in x inches.
Help!!

Answers

Answer:

  x/12

Step-by-step explanation:

There are 12 inches in a foot.

  feet in x inches = x/12

_____

With units, you have ...

  (x in) × (1 ft)/(12 in) = x/12 ft

Can someone explain it step by step ?​

Answers

Answer:

1. (x - 1) × (x + 3)

2. x = 3 and y = -2

Step-by-step explanation:

x² + 2x - 32x + 3y = 0; y = 3x - 11  

rewrite the equation:

y = 3x - 11; 2x + 3y = 0

solve y = 3x - 11 for the y:

y = 3x - 11

substitute 3x - 11 for y in 2x + 3y = 0;

2x + 3y = 0;

2x + 3y = 0

2x + 3 (3x - 11) = 0

11x - 33 = 0 (simplify both sides of the equation)

11x - 33 + 33 = 0 + 33 (add 33 to both sides)

11x = 33

11x/11 = 33/11 (divide both sides by 11)

x = 3

subtitute 3 for x in y = 3x - 11

y = 3x - 11

y = (3)×(3) - 11

y = -2  

I showed one equation because the other is self explanatory, hope this helps.

The profit at a chocolate shop can be represented using the function f(x)=3x−95, where x is the number of chocolate truffles sold each day. What is the slope and what does it represent?

Can someone explain how to do this.

Answers

The slope is the constant rate of change. In this case, the number is being multiplied by 3 each time

The slope is 3
“x represents number of chocolate truffles sold each day”
Represents amount of chocolate truffles sold per day

math for college readiness question. please help ​

Answers

Answer: 3

Step-by-step explanation:

[tex](f \circ f)(2) = f(f(2)) = f(3) = \boxed 3[/tex]

Subtract and simplify. 12 3\8 − 9 1\8 =

Answers

Answer:

[tex]3\dfrac{1}{4} \ \ or \ \ 3,25[/tex]

Step-by-step explanation:

[tex]\displaystyle12 \frac{3}{8} -9\frac{1}{8} =12-9+\frac{3}{8} -\frac{1}{8} =3+\frac{2}{8} =3\frac{1}{4} \ \ or \ \ 3,25[/tex]

What is the quotient of 15a4b3/12a2b ? Assume that the denominator does not equal zero.

Answers

Answer:

[tex]\frac{5a^2b^2}{4}[/tex]

Step-by-step explanation:

divide £100 into 1:4

Answers

Answer: the answer is 25

Step-by-step explanation:

First do 100/1

Then do 1 x 100/1 x 4

so then divide 100 by 4 =

25/1 =

25

Can somebody please help this is honestly due tomorrow

Answers

Answer:

I am almost completely sure its 4.

Step-by-step explanation:

I dont mind brainiests by the way

A restaurant offers a lunch special for $12 plus $3 tip for the server. Which expression represents the total cost for the special help mee now

Answers

Answer:

$15

Step-by-step explanation:

12+3+15

Answer:

Bill Amount: $12

Tip Percent: 25%

Divide By: 1  

= $15

Answer fast please!!!

Answers

The correct answer is C. 58

Hope this helps!

Step-by-step explanation:

the answer is 58 this is the result I hope I've helped

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