What is an equation of the line that passes through the points (-3, 3) and (-6, 2)?

Answers

Answer 1

Answer:

3y=3x+ c

Step-by-step explanation:

-3= x1 and 3 = y1

-6= x2 and 2= y2

y2-y1/ x2-x1 = 2-3/ -6+3 = -1/-3 =1/3 (the gradient)

y =1/3x +c

multiplying both sides by 3

3y= 3x +c in the form of y= mx + c

Answer 2
First of all In an equation you need slope and y-intercept according to the rule Y=Mx+c

M= y2-y1/x2-x1 = 2-3/-6-(-3) = -1/-3 = 1/3

Y= 1/3x+c

(NOW WE HAVE THE SLOPE AND WE CAN FIND THE Y-INTERCEPT BY REPLACING IN ONE OF THE GIVING POINTS)

3= 1/3(-3)+c

C=4

Final answer is y = 1/3x + 4

Related Questions

Find the area of the square.

Answers

Answer:

163.78

Step-by-step explanation: Trust me bro

Answer:

196.2801

Step-by-step explanation:

a triangle adds up to 180 degrees, so if you add 81.66 and 84.33 together, it adds up to 165.99. if you subtract 180 and 165.99, you will get 14.01. Finally, you multiply 14.01 and 14.01 to get 196.2801. Hoped this helped!

find the values for c and d that make the function differentiable:f(x) = 5x^2 + c if x = or < than 3dx^2 - 3 if x > 3

Answers

9514 1404 393

Answer:

  c = -3; d = 5

Step-by-step explanation:

The function is differentiable if it is continuous and the derivative is continuous.

This function will be continuous if the limit as x approaches 3 from either side is the same. From the left, the limit is ...

  5(3^2) +c = 45 +c

From the right, the limit is ...

  d(3^2) -3 = 9d -3

__

The derivative will be continuous if the limit as x approaches 3 from either side is the same. From the left, the limit is ...

  f'(x) = 10x

  = 10(3) = 30

From the right, the limit is ...

  f'(x) = 2dx

  = 2d(3) = 6d

__

This gives us a pair of simultaneous equations in 'c' and 'd':

  45 +c = 9d -3

  6d = 30

The latter tells us d = 5. Then the former tells us ...

  45 +c = 9(5) -3   ⇒   c = -3

The function is differentiable if c = -3 and d = 5.

_____

Additional comment

With these values, the function becomes ...

  [tex]f(x)=\begin{cases}5x^2-3&\text{if }x\le 3\\5x^2-3&\text{if }x>3\end{cases}[/tex]

Points to the first 5 people to answer this question ·,

Answers

Answer:

Step-by-step explanation:

uh.

Answer:

Step-by-step explanation:

find the domain, in interval notation.

Answers

Judging by the image the function graphed has an asymptote at x = 3 and extends forever to -infinity along the x axis.

so the answer would be - infinity not included (because infinity is a concept not a number) to +3 not included because the function infinitely approaches x = 3. this is (-∞,3) in interval notation.  

Please help me solve this please

Answers

Answer:

x = 8

Step-by-step explanation:

The sum of two interior angles in a triangle is equal to the exterior angle that's supplementary to the third interior angle:

7x + 6 + 22 = 9x + 12 add like terms

7x + 28 = 9x + 12 export like terms to the same side of the equation

28 - 12 = 9x - 7x

16 = 2x divide both sides by 2

8 = x

Write the equation of the line that passes through the given points
(0,- 4) and (5,4)

Answers

Answer:

y=8/5x-4

Step-by-step explanation:

1:find the slope

[tex]\frac{4+4}{5-0} =\frac{8}{5}[/tex]

slope/m=8/5

2: solve for b using Y=mx+b

plug in the numbers to find b (the x and y get from one set of the points your given and the m is the slope)

Y=mx+b

y=4

m=8/5

x=5

4=8/5(5)+b

4=8+b

-4=b

than to put all the in y=mx+b form just plug in the b and m

I need help please answer.

Answers

Answer:

that's easy It's Four

Step-by-step explanation:

6 plus four equals 10 and 10 plus four is 14

Answer:

4

Step-by-step explanation:

6 > 10 > 14

6 + _ = 10?, 10 + _ = 14?

6 + 4 = 10, 10 + 4 = 14

= 4

hope this helps! :D

What is the least common denominator of 1/8 and 2/3

Answers

Answer:

The least common denominator (LCD) is the smallest number that can be a common denominator for a set of fractions. Also known as the lowest common denominator

Your welcome

ANSWER QUICK SHOW WORK!
1. 4(1-3x)+7x=9
2. 9-5x=12-(6x+7)

Answers

1. 4(1 - 3x) + 7x = 9

Distribute

4 - 12x + 7x = 9

Isolate x terms

-12x + 7x = 9 - 4

Combine like terms

-5x = 5

Divide

x = -1

2. 9 - 5x = 12 - (6x + 7)

Distribute

9 - 5x = 12 - 6x - 7

Move terms to get x terms on one side

-5x + 6x = -9 + 12 - 7

Combine like terms

x = -4

Answer:

1.) x = -1

2.) x = -4

Step-by-step explanation:

1.) 4(1 - 3x) + 7x = 9

=> Use distributive property:

4 - 12x + 7x = 9

=> Combine like terms:

4 - 5x = 9

=> Isolate 5x:

-5x = 5

=> Isolate x:

x = 5/-5

=> Simplify:

x = -1

2.) 9 - 5x = 12 - (6x + 7)

=> Use distributive property:

9 - 5x = 12 -6x - 7

=> Combine like terms:

9 - 5x = 5 - 6x

=> Isolate x to one side:

9 + x = 5

x = -4

Hope this helps!

Term for 6+(4+x)=(6+4)+x

Answers

Answer:

Associative property of addition

Step-by-step explanation:

Answer:

Associative property of addition

FAST NOW! HELP ASAP
GET RIGHT YOU GET BRAINIEST

Answers

Answer:

21 inches squared

Step-by-step explanation:

i think thats the answer???

Answer:3x7=21

Step-by-step explanation:

multiply 3x7 and its 21

What is the constant in this
expression?
8x – 2 - 6x^3

Answers

Answer:

Step-by-step solution :

STEP

1

:

Equation at the end of step 1

 (23x2 -  6x) -  3

STEP

2

:

Trying to factor by splitting the middle term

2.1     Factoring  8x2-6x-3  

The first term is,  8x2  its coefficient is  8 .

The middle term is,  -6x  its coefficient is  -6 .

The last term, "the constant", is  -3  

Step-1 : Multiply the coefficient of the first term by the constant   8 • -3 = -24  

Step-2 : Find two factors of  -24  whose sum equals the coefficient of the middle term, which is   -6 .

     -24    +    1    =    -23  

     -12    +    2    =    -10  

     -8    +    3    =    -5  

     -6    +    4    =    -2  

     -4    +    6    =    2  

     -3    +    8    =    5  

     -2    +    12    =    10  

     -1    +    24    =    23  

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Final result :

 8x2 - 6x - 3

What is the greatest common factor of 64xyz−36xy+24x?

Answers

Answer:

4x

Step-by-step explanation:

64xyz =  2⁶ * x * y* z

36xy = 2² * 3² * x * y

24x   = 2³ * 3 * x

GCF = 2² *x = 4x

Practice #2a
Determine the value of n. Show you work below or on
the diagram.
T
Do not put the units with your answer just the value
Check answer
9cm
12cm

Answers

Answer:

answer of n is 15 by pythagoras theorem

Step-by-step explanation:

n is a hypotenuse

[tex] \sqrt{ {12}^{2} + {9}^{2} } = 15[/tex]

2 2/3 divided by 1 3/5?

Answers

Answer:

1.67 or 5/3

Hope this helps

Answer:

1 2/3

Step-by-step explanation:

First:

Convert any mixed numbers to fractions.

Then your initial equation becomes:

[tex]\frac{8}{3}[/tex] ÷ [tex]\frac{8}{5}[/tex]

Applying the fractions formula for division,

= [tex]\frac{8}{3} x \frac{5}{8}[/tex]

=[tex]\frac{40}{24}[/tex]

Simplifying 40/24, the answer is

1[tex]\frac{2}{3}[/tex]

Hope this helps!!! :)))

How many terms are in the polynomial 10x^2 + 5x - 11

Answers

Answer:

3 terms!

Step-by-step explanation:

You can tell by what is separated by addition or subtraction.

What is the first step to do when solving this equation for x:

3x−52/2 =5
options:

add 5 to each side of the equal sign


subtract 5 on each side of the equal sign


divide each side of the equal sign by 3


multiply each side of the equal sign by 2

Answers

Answer:

the equation has a fraction of -52/2 to get rid of that you need to Multiply both sides by 2

A bottle of milk has a volume of 850 ml. Last night Jim drank 100ml of milk. What percent of the milk did he drink? Round to the nearest tenth of a percent. Thank you!

Answers

Answer:

850 ml. Divde by 100ml = 8.5

Step-by-step explanation:

HELP ASAP

Name the property used to make the conclusion:
3. If x + 7 = 23, then x = 16.
7. If x - 24 = 25, then x = 49.

a. addition property of equality
b. subtraction property of equality
c. multiplication property of equality
d. division property of equality
e. symmetric property of equality
f. substitution property of equality

Note: They said 3. is NOT A and 7 is NOT B

Answers

Answer:

3. B, 7. A

Step-by-step explanation:

3. If x + 7 = 23, then x = 16

You need to subtract 7 from both sides.Correct choice is B

7. If x - 24 = 25, then x = 49.

You need to add 24 to both sides.Correct choice is A

Linda works at the U-Pick Berry Farm selling strawberries and raspberries. Her first customer of the day bought 3 quarts of strawberries and 2 quarts of raspberries for $22.00. The second customer bought 5 quarts of strawberries and 4 quarts of raspberries for $39.00. Which system of equations can be used to find the costs of a quart of strawberries and a quart of raspberries? 3 x + 2 y = 39. 5 x + 4 y = 22. 2 x + 3 y = 39. 5 x + 4 y = 22. 3 x + 2 y = 22. 5 x + 4 y = 39. 2 x + 3 y = 22. 5 x + 4 y = 39.

Answers

Answer:

Sorry about the person above. The answer would be:

C. [tex]3x + 2y = 22[/tex] and [tex]5x + 2y = 39[/tex]

Explanation:

I just did the test.

Answer:

C

Step-by-step explanation:

The population of a town after t years is represented by the function f(t)=7,248(0.983)t. What does the value 0.983 represent in this situation? The population of the town increases by 0.983 each year. The initial population of the town is 0.983. The population of the town decreases by 0.983 each year. The population of the town is 0.983 times the population of the town in the previous year.

Answers

Answer:

The population of the town is 0.983 times the population of the town in the previous

Step-by-step explanation:

Please help haha imm failing math 5(x−2 2/5)=−5.2

Answers

Answer:

x= 1.36

Step-by-step explanation:

Answer:

Step-by-step explanation:

5(x−2 2/5) = −5.2

1. We need to use distibutaive property

5×x and 5×-2.4

5x - 12 = -5.2

2. We need to get x alone.

5x - 12 = -5.2

    -12      -12

5x = 6.8

3. We need to divide

5x = 6.8

/5     /5

x = 1. 36

check:

5(1.36−2 2/5)=−5.2

6.8 - 12 = 5.2

Factor x3 + x2 + x + 1 by grouping. What is the resulting expression?

(x2)(x + 1)
(x2 + 1)(x)
(x2 + 1)(x + 1)
(x3 + 1)(x + 1)

Answers

Answer:

(x²+1)(x+1)

Step-by-step explanation:

(x³+x²)+(x+1)

x²(x+1)+1(x+1)

(x²+1)(x+1)

Answer:

C- (x2 + 1)(x + 1)

Step-by-step explanation:

Which of the following describes the quotient of 5 and -35?

A. The quotient is an integer.
B. The quotient is undefined.
C. The quotient is an irrational number.
D. The quotient is a rational number. Reset

Answers

Answer:

A. is the answer

Step-by-step explanation:

Seiji and Gavin both worked hard over the summer. Together they earned a total of $450. Gavin earned $50
more than Seiji.
(a) Write a system of equations for the situation. Use s for the amount Seiji earned and g for the amount
Gavin earned.
(b) Graph the equations in the system. Let the x-axis = Seiji and the y-axis = Gavin. (Complete the
numbering on the axis)
(c) Use your graph to estimate how much each person earned.

Answers

[a] If the total is 450 and Gavin (g or y) earned 50 more than Seiji (s or x) then we can create the following system:

{ s + 50 = g

{ g + s = 450

[b] See attached

[c] Gavin earned $250 and Seiji earned $200

    Using the graph, we will look at where the points intercept. The x will be Seiji, and the y will be Gavin. Using this, we can see the answer is (200, 250) leaving Seiji with 200 dollars and Gavin with 250 dollars

    (there is also a simpler way to do this, but as I was following the assignment I think this is what you need!)

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 slope intercept form of an equation for a line with y-intercept =-5 and slope =2

Please show your work :)

Answers

Answer:

b: y=2x-5

Step-by-step explanation:

Y = MX + B

Slope = M

B = y-intercept

Can anyone help me ASAP!

Answers

Answer:

17.3 in

Step-by-step explanation:

Answer: 17.3

Step-by-step explanation: If you divide 69 by 4 it gets you 17.25, so if you round that to the nearest tenth of an inch, it will get you 17.3.

Help meeeeeee plsssss

Answers

Answer:

A: dense and solid

E: located near a star

Step-by-step explanation:

got it right on the assignment

Please, I really need help with this, I can't get the right answer, Please and thank you

Answers

Answer:

I believe that y=7I'm not sure what your tring to figure out

PLEASE ANSWER QUICKLY I WILL GIVE BRAINLYEST
4. Consider the expression 9 + 3 x 2 exponent 2 - 1 x 4

(a) What is the value of the expression? Show your work.

(b) How does the value change when grouping symbols are placed around 22 – 1? Show your work.

Answers

Answer:

a) 17

b) 45

Step-by-step explanation:

a) [tex]9+3 x 2^{2} - 1 x 4[/tex]

use pemdas first,

[tex]2^{2}\\[/tex] = 4

3x4 = 12

1x4 = 4

now the equation is [tex]9+12 - 4[/tex]

9+12 = 21

that makes the equation 21-4

21-4 = 17

a) 17

now for b

b)

the equation would then be [tex]9+3 x (2^{2} - 1) x 4[/tex]

so youd use pemdas as always

start in the parenthases

[tex]2^{2}[/tex] = 4

4-1 = 3

the equation is now [tex]9+3 x 3 x 4[/tex]

now, multiply 3x3x4

3x3 = 9

9x4 = 36

now the equation is 9+36

9+36 is 45

b) 45

hope this helped!

Answer:

A) 17    B) 45

Step-by-step explanation:

Hope this helps.

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