12. Determine the slope of the line having the equation 2x + y = 12
a. 2
b. -2
c. ½
d. -½​

Answers

Answer 1

Answer:

b. -2

Step-by-step explanation:

Note the slope-intercept form: y = mx + b

Note that:

y = (x , y)

m = slope

x = (x , y)

b = y-intercept

First, isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Subtract 2x from both sides of the equation:

2x (-2x) + y = (-2x) + 12

y = -2x + 12

Remember, m is the variable for the term that stands for the slope (directly next to the x variable). In this case, your answer will be -2

b. -2 is your answer.

~

Answer 2

Answer:

b. -2

Step-by-step explanation:

2x+y=12

add -2x to both sides

y = -2x + 12

this is in slope intercept form y = mx + b

m meaning the slope

in this case the slope is -2

the answer will be b. -2


Related Questions

solve pls brainliest

tell me where the dot go!

Answers

Answer:

The first dot is on -9 and the second dot is on -7.

(a) -9 is to the left of -7.

(b) -9<-7

Step-by-step explanation:

WHat is the solution of x^2 + x-6 / x-7 < 0

Answers

Answer:

x≤-3 or 2≤x∠7

Step-by-step explanation:

It would be the first answer on the paper

Answer:

A

Step-by-step explanation:

[tex]\frac{x^2+x-6}{x-7} \leq 0\\[/tex]

hence numerator and denominator are of opposite sign.

case1 .

let x²+x-6≥ 0

and x-7<0

x²+x≥6

x²+x+1/4≥6+1/4

(x+1/2)²≥25/4

(x+1/2)²≥(5/2)²

|x+1/2|≥5/2

x+1/2≥5/2

x≥5/2-1/2

x≥2

or

x+1/2≤-5/2

x≤-5/2-1/2

x≤-3

also x-7<0

x<7

combining

x≤-3 or 2≤x<7

case 2.

x²+x-6<0

and x-7≥0

x²+x<6

x²+x+1/4<6+1/4

(x+1/2)²<25/4

|x+1/2|<5/2

so -5/2 <x+1/2<5/2

-5/2-1/2<x<5/2-1/2

-3<x<2

also x-7≥0

so x≥7

combining

we get no vlaue satisfying both the values.

Hence rejected.

the sum of 2 numbers which are in a ratio 2:5 is 21 what are the numbers​

Answers

Ratio = 2 : 5

Numbers = 2x & 5x

[tex]2x + 5x = 21 \\ 7x = 21 \\ x = 21 \div 7 \\ x = 3[/tex]

Numbers :-

2x = 2 × 3 = 6

5x = 5 × 3 = 15.

The numbers are 6 & 15.

Use the factors of the function and the y-intercept to find the standard form of the equation representing Jared’s function.
Type the correct answer in the box.
This is the function.

Answers

Using the Factor Theorem, it is found that the function is given by:

[tex]f(x) = 0.0409(x^3 + x^2 - 77x - 330)[/tex]

The Factor Theorem states that a polynomial function with roots [tex]x_1, x_2, \codts, x_n[/tex] is given by:

[tex]f(x) = a(x - x_1)(x - x_2) \cdots (x - x_n)[/tex]

In which a is the leading coefficient.

From the graph, the zeroes are [tex]x_1 = -8, x_2 = -3, x_3 = 10[/tex], hence:

[tex]f(x) = a(x + 8)(x + 3)(x - 10)[/tex]

[tex]f(x) = a(x^2 + 11x + 33)(x - 10)[/tex]

[tex]f(x) = a(x^3 + x^2 - 77x - 330)[/tex]

From the y-intercept, that is, when [tex]x = 0, y = -13.5[/tex], we find a.

[tex]f(x) = a(x^3 + x^2 - 77x - 330)[/tex]

[tex]-330a = -13.5[/tex]

[tex]330a = 13.5[/tex]

[tex]a = \frac{13.5}{330}[/tex]

[tex]a = 0.0409[/tex]

Hence:

[tex]f(x) = 0.0409(x^3 + x^2 - 77x - 330)[/tex]

To learn more about the Factor Theorem, you can take a look at https://brainly.com/question/24380382

Answer:

first guy is wrong

Step-by-step explanation:

my teacher said it's wrong, when I find out the right answer ill put it here

QUESTION: 3 ÷ 0.05
EMERGENCY: Pls answer

Answers

Step-by-step explanation:

=3/0.05

=60ans.

mark me as a brainlist plz.

the answer is 60

You can solve it in calculator

Given the vectors ⃗⃗ = 〈2, 3, 5〉, ⃗ = 〈−2, 5, 0〉, ⃗⃗ = 〈−3, 2, 7〉 calculate:
a) ⃗⃗ + ⃗ + ⃗⃗

Answers

Answer:

a

Step-by-step explanation:

In the equation 4x² - 16x + 12 = 0, the solution is?​

Answers

X= 3, 1



Hope this helps<3

Answer:

x = 3 or x = 1

Step-by-step explanation:

[tex] {4x}^{2} - 16x + 12 = 0 \\ {4x}^{2} - 4x - 12x + 12 = 0 \\ 4x(x - 1) - 12(x - 1) = 0 \\ (4x - 12)(x - 1) = 0 \\ [/tex]

(4x - 12) = 0 or (x - 1) = 0

[tex](4x - 12) = 0 \\ 4x - 12 = 0 \\ 4x = 0 + 12 \\ 4x = 12 \\x = \frac{12}{4} \\ x = 3 \\ [/tex]

[tex](x - 1) = 0 \\ x - 1 = 0 \\ x = 0 + 1 \\ x = 1[/tex]

x = 3 or x = 1 should be.

Graph the line that passes through the points (-3, -5)(−3,−5) and (-6, -3)(−6,−3) and determine the equation of the line.

Answers

equation of the line: y=-2/3x - 7
graph of the line:

For the following exercises, find dy/dx for each function:
[tex]y= 1 / sin^2(x)[/tex]

Answers

Answer:

-2csc^2(x)cot(x)

Step-by-step explanation:

by derivative sin^-2(x)

The length of the hypotenuse of a right triangle is one unit more than twice the height. What is the height of the triangle if the base is 8?

Answers

The height of the triangle if the base is 8 is 3.96 units

Given the following parameters

Base of a triangle = 8 units

Let the hypotenuse be "c"

Let the height be "h"

If the length of the hypotenuse of a right triangle is one unit more than twice the height, then;

c = 2h + 1

According to the Pythagoras theorem:

c² = b² + h²

(2h + 1)² = 8² + h²

Expand

4h²+4h+1 = 64 + h²

4h²-h² + 4h + 1 - 64 = 0

3h² + 4h - 63 = 0

Factorize the result

On factorizing, the value of the height is 2

h = [tex]\frac{-2}{3}+\frac{\sqrt{193} }3\\[/tex]

h = 11.89/3

h = 3.96 units

Hence the height of the triangle if the base is 8 is 3.96 units

Learn more here: https://brainly.com/question/20545047

Which number line correctly shows the graphing of point A,2 1/2 point b -2.75 and point c -0.25

Answers

Answer:

C

Step-by-step explanation:

There are two negative numbers must be before zero and one positive number must be after zero

A = 2 1/2 = 2.5 between 2 and 3

B = -2.75 between -2.5 and -3

C = -0.25 between 0 and -0.5

What is the following quotient? 6-3( 3 square root 6/ 3 square root 9

Answers

Answer: The last option is the answer

3(3 root 3)-3(3 root 2)

Can you help<333? If not it’s gine

Answers

Answer:

It should 120 students

Step-by-step explanation:

Answer:

120 students

Step-by-step explanation:

4/7×210=120

A cyclist rides her bike at a rate of 10 kilometers per hour what is this rate in miles per hour? How many miles will the cyclist travel in 3 hours? In your computations, assume that 1 mile is equal to 1.6 kilometers l. Do not round your answers

Answers

Answer:

cyclist will travel 64 kilometres in 4 hours

Step-by-step explanation:

speed of cyclist = 10 miles per hour

given 1 mile is equal to 1.6 kilometres.

1*10 miles will be equal to 1.6*10 kilometres

thus , 10 mile is equal to 16 kilometres

using 16 km in place of 10 miles in 10 miles per hour

we have

speed of cyclist = 16 kilometres per hour

we know that distance = speed * time

speed is 16 kilometres per hour

time 4 hours

thus , distance = 16*4 kilometres= 64 kilometres.

cyclist will travel 64 kilometres in 4 hours.

(Hope this helps can I pls have brainlist (crown)☺️)

2. ĐỊNH THỨC
2.1. Giải phương trình:
2 3 1
1 2 4 8 0
1 3 9 27
1 4 14 64

Answers

Answer:

Step-by-step explanation:

Uhm the third one number 3

A penguin walks 10 feet in 6 seconds at this speed how far does the penguin walk in 45 seconds

Answers

Answer: 75 ft

Step-by-step explanation:

45x10 = 450

450/6=75

Answer:

75 feet

Step-by-step explanation:

10 divided by six is 3/2, in 1 second, a penguin walks 3/2 feet. With this logic, in 45 seconds a penguin walks 75 feet since 45 times 3/2 is 75.

.
-1 + 4c = -19
-
-
C =

Answers

Answer:

Hey mate.....

Step-by-step explanation:

This is ur answer....

-1 + 4c = -194c = -19 + 14c = -18c= -18/4c = 9/2

Hope it helps!

Brainliest pls!

Follow me! ♧


Can someone help me and explain on paper , I’m still so confused

Answers

Answer:

Your answer is -5

Step-by-step explanation:

On paper;

Hey can you help me.?

Answers

Answer: 1.45 x 10^2

i = $141.60; P = $590; t = 6
years find the rate

Answers

Answer:

888888

Step-by-step explanation:

Mark 4 feet of licorle to show 3/4

on number line​

Answers

I have no way to mark it here to demonstrate what will be 3/4

Which expression is equivalent to -6(-2/3+2x)

Answers

Answer:

4−12x

Step-by-step explanation:

4-12x hope this helps

tina bought some clothes from a high end store that cost 6,719. her friend Betty bought the same quantity of clothes from a low end store that cost 1,282 how much money did Betty saved by buying at the low end store?what is betty total savings when rounded to the nearest thousands?​

Answers

Answer:

5437

Step-by-step explanation:

Subtract the original amount 6,719 and 1282

you get 5,437

Hope this helps!

Have a nice day! :D

Mark brainliest if possible pls :)

a shopkeeper bought six crates of soda at 300 shillings each he was also charged 200 for transport during transportation 44 bottles broke and he sold each of the remaining bottle for 15 sh. if each crate holds 24 bottles what was his percentage loss​

Answers

Answer: 52,5%

Step-by-step explanation:

For 6 cases of soda, he had to make a profit in the amount of:

6×300=1800 sh

And also taking into account the fact that he was charged with transportation of 200 ; then he made a profit in the amount of:

1800-200=1600sh

Total  bottles  of soda - 24 × 4= 96 b

He also broke 44 bottles  - 96-44=52 b

Then he earned :

52×15=13×4×15=60×13=780 sh

Then he suffered a loss in the amount of :

1600-780 =820 sh

As a percentage

[tex]\dfrac{820}{1600} \cdot 100=\boldsymbol{51,25 \%}[/tex]

Magmatic and English

Answers

I don’t really get that sorry I would love to help but don’t know what that mean.

What is the equation of a line that passes through the points (6,-4) and (1,6)

Answers

Answer: y = -1/2x + 8

Step-by-step explanation:

Answer: Y=-1/2x+8

Step-by-step explanation:

You have to divide

Question below


Answer choices

A) Zhen spends 6 1/2 hours working for every hour of the completed audiobook.
B) Zhen completes 6 1/2 audiobooks in an hour
C) Zhen spends 6 1/2 hours working per audiobook



DISCLAIMER I AM IN MIDDLE SCHOOL NOT COLLEGE

Answers

for every completed length of audiobook, Zhen spends 6.5 hours working.

C.Zhen spends 6 1/2 hours working per audiobook

The specifications for the dimensions of a new cardboard container are shown. If the volume of the container is modeled by V(h) = 2h^3 - 9h^2 + 4h and it will hold 45 cubic inches of merchandise, what are the containers dimensions?​

Answers

Solving a cubic equation, it is found that the dimensions of the container are of 1 inch, 9 inches and 5 inches.

The volume of the cubic container is given by the following equation:

[tex]V(h) = 2h^3 - 9h^2 + 4h[/tex]

Since it holds 45 cubic inches of merchandise, we have that [tex]V(h) = 45[/tex], then:

[tex]V(h) = 2h^3 - 9h^2 + 4h[/tex]

[tex]45 = 2h^3 - 9h^2 + 4h[/tex]

[tex]2h^3 - 9h^2 + 4h - 45 = 0[/tex]

Using a cubic equation calculator, the real solution is [tex]h = 5[/tex], thus, the dimensions are:

[tex]h = 5[/tex]

[tex]h - 4 = 5 - 4 = 1[/tex]

[tex]2h - 1 = 2(5) - 1 = 10 - 1 = 9[/tex]

The dimensions of the container are of 1 inch, 9 inches and 5 inches.

A similar problem is given at https://brainly.com/question/16606259

for his
Noah decides to change the design of the tabletop so that it is a rectangle with the same
area as his original tabletop design. How can Noah change his design to a rectangle but
keep the same area?
Choose one option from each drop-down menu to answer the question.
To change his design, Noah can make one vertical cut through the parallelogram to form
Choose...
Then, to make a rectangle, he can match up
Choose..
Noah's original tabletop design
has the same area as a rectangle with a base of Choose...ft and a height of
Choose... v ft.

Answers

Answer:

two triangles, the top of one figure with the bottom of the other figure, 8 and 4

Step-by-step explanation:

I am not sure if it's right but I hope it is!

Convert 5 over 9 into a decimal

Answers

Answer: 0.556

Step-by-step explanation:

Answer:

5/9 as a decimal is .5 repeating. I hope this helps.

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