What is the slope-intercept equation of the line below?
O A. y=-2x+1
B. y = 2x + 1
Oo
C. y = -2x-1
O D. y = 2x-1

Answers:

a = 1

b = 14

c = 65

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Explanation:

Let's focus on the root x = -7+4i

Add 7 to both sides, then square both sides. Then get everything to one side so 0 is on the other side.

x = -7+4i

x+7 = 4i

(x+7)^2 = (4i)^2

(x+7)^2 = 16i^2

(x+7)^2 = 16(-1)

(x+7)^2 = -16

(x+7)^2+16 = 0

If you were to follow those steps for the other root -7-4i, then you should get the same result. Solving (x+7)^2+16 = 0 leads to the two complex roots -7+4i and -7-4i.

Expand out that expression to get it into standard form

(x+7)^2+16

(x+7)(x+7)+16

x^2+7x+7x+49+16

x^2+14x+65

The equation is now in y = ax^2+bx+c form

a = 1

b = 14

c = 65

If you were to plug those a,b,c values into the quadratic formula, you'll find that it leads to the two given roots -7+4i and -7-4i.

Answer:

{x| -2 ≤ x < 5}

Step-by-step explanation:

The domain is the x value in a graph, function e.t.c. From the farthest point to the left of the x-axis, we see -2. And from the farthest point to the right of the x-axis, we see 5. Therefore, the domain is {x| -2 ≤ x < 5}, Option C

Look here for visuals:

The domain of the step function g(x) is (c) {x I -2 <= x <5 }

The domain of a function is the set of input values the function can take.

From the graph, the x-values begin as -2 with a closed circle, and it ends at 5 with an open circle

The open circle means that -5 is not part of the domain, while the closed circle means that -2 is inclusive of the x-values

Hence, the domain of the step function g(x) is (c) {x I -2 <= x <5 }

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Answer:

$46.8

Step-by-step explanation:

Price for Super Sports:

$72.5*0.8=$58 (20% discount so price is 80% of original price)

$58+$58*0.065=$61.77 (6.5% sales tax added after discounted price)

$61.77*12=$741.24

Price for Double Dribble:

$54.75+$54.75*0.09=$59.6775≈$59.68 (9% processing fee added to cost; round to 2 decimal places)

$59.68+$5.99=$65.67 (shipping fee)

$65.67*12=$788.04

Difference in price:

$788.04-$741.24=$46.8

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Answer:

x=10

base=4inches

height=15inches

Step-by-step explanation:

A=1/2bh

30=1/2(x-6)(x+5)

60= x²+5x-6x-30

x²-x-90=0

x²-10x+9x-90=0

x(x-10) +9(x-10)=0

(x+9)(x-10)=0

x= -9 or 10

x cannot be negative

Therefore x= 10

base= 10-6

=4inches

height=10+5

=15inches

Answer:

1. Growth rate of tree 3 ft per year, 2. Beginning height of tree 5 feet, rise/run = 3/1 = 3

Step-by-step explanation:

The solution is

1) The slope of the graph m = 3 represents the growth of the tree per year

2) The y-intercept means the initial height of the tree , when x = 0

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the first point be P = P ( 3 , 14 )

Let the second point be Q = Q ( 1 , 8 )

Now , the slope of the two points on the line is given by

Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 14 - 8 ) / ( 3 - 1 )

Slope m = 6/2

Slope m = 3

Therefore , the slope is 3 feet per year

b)

The y intercept is calculated from the equation of line , when x = 0

So , the equation of line is given as

y - y₁ = m ( x - x₁ )

Substituting the values in the equation , we get

y - 14 = 3 ( x - 3 )

On simplifying the equation , we get

y - 14 = 3x - 9

Adding 14 on both sides of the equation , we get

y = 3x + 5

Now , when x = 0

y = 3 ( 0 ) + 5

y = 5 feet

From the graph we can see that , at 0 years the initial height of the tree is also 5 feet

Therefore , the y intercept is 5 feet

Hence , The slope of the equation is 3 and y intercept is 5

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Answer: 3

Step-by-step explanation:

V=whl

Answer:

in my opinion they do not.

Step-by-step explanation:

Answer: Total compensation is everything the company provides an employee in exchange for working. It includes base salary, bonuses, benefits, perks and on-site amenities.Total compensation indicates that an employee is making two or three times his base salary.

Answer:

About 85.29 percent

Step-by-step explanation:

Recall that a percentage can also be represented as a proportion under 1; for example, 30 percent is .30 as a proportion of 1. So here we have 29 carpenters out of 34 that showed up, a ratio of .8529 showed up to work, and .8529 balance translates to 85.29 percent.

So 85.29 percent of the carpenters showed up to work.

Given that

PQ || AB

CP = x+3

PA = 3x+19

DC = x+3

CA = x

QB = 3x+4

We know that

By Basic Proportionality Theorem,

CP / PA = CQ / QB

On substituting these values in the above formula

⇛ (3x+19) / (x+3) = (3x+4) / x

On applying cross multiplication then

⇛ x(3x+19) = (3x+4)(x+3)

⇛ 3x²+19x = 3x(x+3)+4(x+3)

⇛ 3x²+19x = 3x²+9x+4x+12

⇛ 3x²+19x = 3x²+13x+12

⇛ 3x²+19x-3x²-13x = 12

⇛ (3x²-3x²)+(19x-13x) = 12

⇛ 0+6x = 12

⇛ 6x = 12

⇛ x = 12/6

⇛ x = 2

∴ , x = 2

Answer: The value of x for the given problem is 2

Additional comment:

Basic Proportionality Theorem

" A line drawn parallel to the one side of a triangle intersecting other two sides at two different points, then the line divides the other two sides in the same ratio".

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Answer:

2.4*10^4

Step-by-step explanation:

write in scientific notation

first i would simplify the 3.6/1.5

=2.4

then you get (2.4*10^7)/10^3

formula: (m^x)/(m^y)= m^(x-y)

(2.4*10^7)/10^3

=2.4*10^(7-3)/1

=2.4*10^4

Answer:

The probability of getting a peach or an apple is 2/3.

Step-by-step explanation:

There are two peaches and four apples, so six fruits we want to know the probability of getting, and there are also three pears, which means we have nine fruits total. The chance of getting an apple or a pear is six out of nine, which simplifies to two out of three.

Answer:

They are parallel

Step-by-step explanation:

Find slope of point A

(-3,4), (1,2)

2-4=-2 1-(-3)=4

slope of a= -2/4 or -1/2

Find slope of point B

(6,2), (8,1)

1-2=-1, 8-6=2

slope of b= -1/2

Both have different slopes, and it can't be perpendicular because they have different denominator values.

Answer:

Step-by-step explanation:

(-3,4) (1,2)

difference is (y2 - y1) /( x2 - x1)

-2 / -4

-1/2 is the slope

(6,2) (8,1)

same as the last

-1 / 2

these lines have the same slope so they are parallel, if their slopes were reciprocals (-1/2 and 2) they would be perpendicular.

Answer:

y = 1.50x+4

if x = 2

y = 7

if x = 3

y = 8.5

if x = 5

y = 11.5

Step-by-step explanation:

every mile(x) add 1.50 dollars to 4 dollars

Answer:

see explanation

Step-by-step explanation:

Mabel has (x + 6) pears , then Nelson has

[tex]\frac{1}{3}[/tex] (x + 6) = [tex]\frac{1}{3}[/tex] x + 2

The number of pears that Nelson has in terms of x will be x / 3 + 2.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

After Donovan gives Mabel 6 pears, she has (x + 6) pears.

If Mabel gives one-third of her pears to Nelson. Then the number of pears that Nelson has in terms of x will be calculated as,

⇒ (x + 6) / 3

Simplify the equation, then we have

⇒ (x + 6) / 3

⇒ x / 3 + 2

The number of pears that Nelson has in terms of x will be x / 3 + 2.

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The length of side AB from the given coordinate grid is; √20

The formula for distance between two coordinates is;

d = √((y2 - y1)² + (x2 - x1)²)

From the graph attached in the given brainly link, we have;

A(4, 5) and B(2, 1)

Thus;

AB = √((1 - 5)² + (2 - 4)²)

AB = √(16 + 4)

AB = √20

In conclusion, the length of side AB is √20

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Answer:

56xy23

Step-by-step explanation:

56 x 12 bhi 56 xy23

Answer:

The answer is B, f(x)=5(2/5)^(z)

Step-by-step explanation:

I did the graphs for all of them and graph B was identical to the one in the picture.

Answer:

  (b)  f(x) = 5(2/5)^x

Step-by-step explanation:

All of the offered choices agree that the multiplier of the exponential factor is 5. When x=1, the exponential factor must have a value of 2/5 in order to make the function value be 2 at that point.

That is, ...

  f(1) = 5(2/5)^1 = 5(2/5) = 2

You can get there either by using x=1 in each of the offered answer choices, or by observing that the ratio between f(1) and f(0) is 2/5.

  f(x) = 5(2/5)^x

Answer:

142

Step-by-step explanation:

Hope this helps

Answer:

The biologist did not use proper labeling on the pieces of paper.

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It should be noted that modern entertainment has played a vital role in shaping African culture and homes.

Through modern entertainment, Africans views on marriages have changed. Most African men now marry one wife which was quite different in the olden days when it was believed that an increase in the number of wives one had was used to show superiority.

Also, entertainment has been impactful in the issue of child-bearing. Women now give birth to lesser children at an average of 3 per home.

Lastly, modern entertainment has also influenced the kind of movies and music that are listened to.

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Answer:

Car 1

Step-by-step explanation:

Answer: Car 1

Step-by-step explanation:

Notice that the speed of each car is the slope of the line that represents its average speed.

Since the graph of the speed of Car 1 passes through (0,0) and (4,256), we get that its slope is:

256/4 = 64

Therefore the average speed of Car 1 is 64 mi/h.

 Now, since the equation that represents the average speed of Car 2 is in slope-intercept form, we get that its slope is 55.

Therefore the average speed of Car 2 is 55 mi/h.

Answer: Car 1.

Answer: The answer is X(X^2 - 48).

Answer:

K so we want to find angle EFC

Its a much longer process

AC is a line, so its 180 degrees

ED is 32 (This also makes AB 32 degrees)

Now we need DC

Find the other side angle length

180 - 32 - 87 = 61

theta is 61+32

Answer:

x=-7, y=-9. (-7, -9).

Step-by-step explanation:

-3x+4y=-15

4x-y=-19

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

y=4x-(-19)

y=4x+19

-3x+4(4x+19)=-15

-3x+16x+76=-15

13x=-15-76

13x=-91

x=-91/13

x=-7

4(-7)-y=-19

-28-y=-19

y=-28-(-19)

y=-28+19

y=-9

Answer:

I can help you with it

Step-by-step explanation:

Answer:

-9 would be your y-intercept

Step-by-step explanation:

Have a great rest of your day

#Nova

ANSWER:

The ratio of the volume of the larger cylinder to the volume of the smaller cylinder is B. 12:1