Write an equation in point-slope form of the line that passes through the point (-8, – 2) and has a slope of m=5.

y- □=□(x-□)​

Answer:

36

Step-by-step explanation:

the square root of any negative value results in an imaginary number, 'i'

so, [tex]\sqrt{-3}[/tex] = 3i and [tex]\sqrt{-12}[/tex] is 12i

'i' is equal to -1

3(-1) x 12(-1) = 36

Answer:

m = -60

b = 300

y = -60x + 300

Step-by-step explanation:

(0,300) and (5,0)

m = y2 - y1/x2 - x1

m = 0 - 300/5 - 0

m = -300/5

m = -60/1

m = -60

y-intercept = b = 300

slope intercept form: y = mx + b

y = mx + b

y = -60x + 300

Answer:

m = -60

b = 300

y = -60x + 300

Step-by-step explanation:

(0,300) and (5,0)

m = y2 - y1/x2 - x1

m = 0 - 300/5 - 0

m = -300/5

m = -60/1

m = -60

y-intercept = b = 300

slope intercept form: y = mx + b

y = mx + b

y = -60x + 300

Answer:

Step-by-step explanation:

7259.75 - 7100 = 159.75

he earned 159.75 in interest

159.75/ 7100= .0225

and if you convert that to percentages then its 2.25%

Step-by-step explanation:

Using the limit definition of a derivative, we have

[tex]\frac{f(1+h)-f(1)}{h} = \frac{(3(1+h)^{4} - 1^{5}) - (3*1^{4} - 1^{5})}{h}[/tex]

Answer:

1. 1

2. 1/12

3. 3 1/6

Step-by-step explanation:

Solution for #1. First, you have to get a common denominator. Here, that would be 6. In order to give 1/2 a denominator of 6, you will need to multiply the numerator and the denominator by 3. That will give you 3/6. Add that to the other 3/6 (3/6+3/6) which equals 6/6 which can be simplified to 1.

Solution for #2. This is just like #1.  First, you have to get a common denominator. Here, that would be 12. In order to give 1/3 a denominator of 12, you will need to multiply the numerator and the denominator by 4. That will give you 4/12. Then, to give 1/4 a denominator of 12, you will need to multiply the numerator and the denominator by 3. That will give you 3/12. Then, subtract (4/12-3/12). You will get an answer of 1/12.

Solution for #3. This is slightly different from the others, I has two more steps. First, you need to changed the mixed fractions into improper fractions. You will get 17/3 and 5/2. Then, you have to get a common denominator. Here, that would be 6. In order to give 17/3 a denominator of 6, you will need to multiply the numerator and the denominator by 2. That will give you 34/6. Then, to give 5/2 a denominator of 6, you will need to multiply the numerator and the denominator by 3. That will give you 15/6. After that, subtract (34/6-15/6). You should get 19/6. Finally, divide 19/6 and you should get 3R1. So, the mixed fraction version of 19/6 is 3 1/6 (I did this by using the 3 from 3R1 as the whole number and I just put the remainder of 1 over 6 as the fractional part). You can multiply to check your answer.

Answer:

-2p² - 9pq + 6q²

Step-by-step explanation:

Add the like terms

p² + - 3p² = -2p²

-7pq + - 2pq = -9pq

-q² + 7q² = 6q²

Answer:

x = -2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

-9x + 1 = -x + 17

Step 2: Solve for x

Answer:

the answer is -43p +  ( 25 )

Step-by-step explanation:

Answer:

74.05

Step-by-step explanation:

1st step: plug -3.5 in for all values of x

y = 1/5(-3.5) + 7(-3.5)^2 - 11

2nd step: follow the order of operations by doing (-3.5)^2 to get 12.25

y = 1/5(-3.5) + 7(12.25) -11

3rd step: multiply 1/5 and -3.5 to get -0.7

y = -0.7 + 7(12.25) -11

4th step: multiply 7 and 12.25 to get 85.75

y = -0.7 + 85.75 - 11

Lastly, now that all operations are either addition or subtraction, work left to right

y = 85.05 - 11.00

y = 74.05

Answer:

Should be a 33.33% increase

Step-by-step explanation:

320 divided by 240 to get 1.33, anything above 1 is increase, so its a 33% increase.

Answer:

x = 30

y = 7

Step-by-step explanation:

The triangle given is an equilateral triangle.

Equilateral Triangle

A triangle that has same length of all sides of triangle. They have same congruent internal angles as well.

So, If length of one side = 7

Length of other two sides will also be same i,e 7

Length of 2nd side = 7

Length of 3rd side = 7

Now, finding angles and value of x

The one angle is 2x, so the other two angles will be also 2x (because all angles of equilateral triangle are same)

We know that sum of all sides of angles of triagle = 180

We can write: [tex]2x+2x+2x=180[/tex]

Solving the equation to find x

[tex]2x+2x+2x=180\\6x=180\\x=180/6\\x=30[/tex]

So, x = 30

Since y is not given in picture, I think it is length of other sides i.e y = 7

Step-by-step explanation:

for 1 book=480

for 4 books= 480×4

=1920

Answer:

If one book costs 480, then four books will cost the quadruplee. To calculate it, we can multiply by 4 the price of one book:

480 * 4 = 1920

So we know it wouldd cost 1920 rp to buy four.

Answer:

83 - x = 72

x= 11 (if you need it)

Step-by-step explanation:

You wanted an expression, correct?

Let's look at an example.

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Problem:

At a high school play, tickets are sold at two different prices: student prices and parent prices. The student price is $2 while the parent prices is $3. On one night, 145 tickets were purchased and the total revenue was $335.

How many student tickets were purchased? How many parent tickets were purchased?

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

Solution:

Let x be the number of student tickets sold and y be the number of parent tickets sold.

We know that 145 people attended so x+y = 145 is the first equation we can set up. This equation is in standard form since standard form is Ax+By = C. Here we have A = 1, B = 1, C = 145.

The second equation we can form is 2x+3y = 335. This is also in standard form. This time we have A = 2, B = 3, C = 335.

The 2x is the amount of money made from just the students only. The 3y is from the parents only. The expression 2x+3y is the total from both groups. This total is set equal to 335 as this is the amount of money pulled in.

After forming both equations, we can write this system of equations

[tex]\begin{cases}x+y = 145\\2x+3y = 335\end{cases}[/tex]

To solve this system, we could isolate y in the first equation to get y = -x+145. Then plug this into the second equation to solve for x

2x+3y = 335

2x+3(-x+145) = 335

2x-3x+435 = 335

-x = 335-435

-x = -100

x = 100 .... number of student tickets bought

Use this to find y

y = -x+145

y = -100+145

y = 45 .... number of parent tickets bought

We can see that x+y = 100+45 = 145

And also 2x+3y = 2*100+3*45 = 200+135 = 335

These two facts help confirm we have the correct x,y values.

Answer:

-10,-32, -39,-42

Step-by-step explanation:

-10,-32, -39,-42

Answer:

It would be $281.60

Step-by-step explanation:

Answer:

multiply by 1.81

Step-by-step explanation:

When he played outside how many object did he fetch in all is 12+r

An expression is combination of variables, numbers and operators.

Given that Spot fetched 12 sticks and some rocks

Let the rocks be denoted as r

We need to check when he played outside how many object did he fetch in all

The number of sticks are 12

The number of rocks are r

They are asking for total which means we have to sum the number of sticks and number of rocks

12+r

Hence, when he played outside how many object did he fetch in all is 12+r

To learn more on Expressions click:

https://brainly.com/question/14083225

#SPJ2

Answer:

x=2/3, y=0

Step-by-step explanation:

3x + 7y = 2,

6x - 5y = 4

Make the x coefficient the same in both equations.

3x + 7y = 2

(whole thing multiplied by 2)

6x + 14y = 4

Now subtract the equations to eliminate the x variable.

 6x + 14y = 4

-(6x - 5y   = 4)

        19y  = 0

           y = 0

Substitute 0 for y in one of the equations.

3x + 7(0) = 2

         3x = 2

           x = 2/3

Answer:

well your equation has 2 equal signs in it but imma take a guess and say the first one is supposed to be a plus sign so

Step-by-step explanation:

here's ur answer

x= −2 /29y+4/29

Answer: 25

Step-by-step explanation: -5 x 25 + 13 = -112

Answer:

25

Step-by-step explanation:

To find the answer you do the equation backwards.

Since you added 13, subtract 13 from -112

-112 - 13 = -125

-125 / -5 = 25

Answer:

s = 11

Step-by-step explanation:

Given

[tex]\frac{r}{s}[/tex] = 22 ← substitute r = 242

[tex]\frac{242}{s}[/tex] = 22 ( multiply both sides by s )

242 = 22s ( divide both sides by 22 )

11 = s

Answer:

S would equal 11

Step-by-step explanation:

Answer:

3450 miles

Step-by-step explanation:

Multiply the number 17.25 by 200 since the boat is traveling for 200 hours and each hour is 17.25 miles to get 3450 miles which is your answer.

Answer:

[tex]\boxed {\boxed {\sf 3,450 \ miles}}[/tex]

Step-by-step explanation:

Distance can be found by multiply the speed by the time.

[tex]d=st[/tex]

Where d is the distance, s is the speed, and t is the time.

1. Define Variables

The speed is 17.25 miles per hour and the time is 200 hours.

[tex]s= 17.25 \ mi/hr[/tex]

[tex]t= 200 \ hr[/tex]

2. Calculate Speed

Substitute the values into the formula.

[tex]d=17.25 \ mi/hr * 200 \ hr[/tex]

Multiply. The hours (hr) will cancel each other out and leave miles as the units.

[tex]d=17.25 \ mi *200\\[/tex]

[tex]d=3450 \ mi[/tex]

The voyage was 3,450 miles

Answer:

Haven't done this in years, but I think that's correct.

Step-by-step explanation:

63.7 x 10^1 = 637

94.6 x 10^3 = 94600

0.365 x 10^4 = 3650

Answer:

The answer to the first question is 637

The answer to the second question is 94600

The answer to the third question is 3650

Step-by-step explanation:

63.7 x 10 = 637

94.6 x 10^3 = 94.6 x 1000 = 94600

0.365 x 10^4 = 0.365 x 10000  = 3650

Answer:

The slope of the line is undefined, and the equation of the line is x = 9.

Step-by-step explanation:

Given the points

Finding the slope between (9, 4) and (9, -5)

It is clear that the value of x = 9 is the same in both points.

It means no matter what the value of y is, the value of x remains the same.

It means the line is vertical.

Therefore, the slope of the vertical line is undefined, because the value of x is not changing.

Thus, the slope of the line is undefined, and the equation of the line is x = 9.

Answer:

7.2e-8

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

it's 8/12 because there are 8 numbers above 4, you just simplify down to 2/3

Answer:

I'm pretty sure its -11

Answer:

f(3) = -11

Step-by-step explanation:

Substitute 3 in wherever you see an x:

f(3) = -4 * 3 + 1

f(3) = -12 + 1

f(3) = -11