Quadratic Equation to Standard Form

Answer:

the slope of the line that passes throught (x1,y1) and (x2,y2) is (y2-y1)/(x2-x1)

given

(-4,3) and (-8,6)

slop=(6-3)/(-8-(-4))=(3)/(-8+4)=3/-4=-3/4

slope is -3/4

Step-by-step explanation:

Answer:

(y2-y1)/(x2-x1)

(6+1)/ (-8-10)

7/ -18 is the slope

Step-by-step explanation:

The distance of Jamal's house to the park is 12 miles.

The distance from Loretta's house to a park is 43 miles.

Her friend Jamal lives along this same highway between Loretta's house and the park.

The distance from Loretta's house to Jamal's house is 31 miles.

The situations forms a straight line segment.

Therefore,

Loretta's house distance to the park = 43 miles

Lorretta's house distance to Jamal's house = 31 miles

Therefore,

distance of Jamal's' house to the park =  43 - 31

distance of Jamal's' house to the park = 12 miles

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Answer:

0

Step-by-step explanation:

Step-by-step explanation:

here ax+2c=BX+3d

ax-bx=3d-2c

X(a-b)=3d-2c

X=3d-2c/a_b

Answer:

5 3/4

Step-by-step explanation:

HOPE THIS HELPS

PLZZ MARK BRAINLIEST

Answer:

5 3/4

Step-by-step explanation:'

adding a negative number is just subtracting

Answer:

2 and 1/3

Step-by-step explanation:

1 2/5 = 7/5

1 2/3 = 5/3

(7/5) * (5/3) = 7/3

7/3 = 2 1/3

Answer:

AB = 4

[tex]m\angle E=30^\circ[/tex]

Step-by-step explanation:

Similar shapes

Two figures are similar if the ratios of the lengths of their corresponding sides are equal. The corresponding angles are also congruent.

Being ABCD and EFGH similar, the ratio of the lengths of AB and EF is equal to the ratio of the lengths of AD and EH, thus:

[tex]\displaystyle \frac{AB}{EF}=\frac{AD}{EH}[/tex]

Solving for AB:

[tex]\displaystyle AB=\frac{AD}{EH}\cdot EF[/tex]

Since AD=6, EH=1.5, and EF=1:

[tex]\displaystyle AB=\frac{6}{1.5}\cdot 1[/tex]

AB = 4

Since angle A is congruent to angle E:

[tex]m\angle E=m\angle A[/tex]

[tex]\mathbf{m\angle E=30^\circ}[/tex]

Answer:

8

Step-by-step explanation:

Answer:

A. 3 bags of popcorn

F. $12.25

G. 6 bags of popcorn

Heya, I hope this helped you! If you divide 3.5 by 2, it is $1.75 for each bag of popcorn. I hope this helped! <3

Answer: A. Murderer bought three bags

F. $21.00

G. 6 bags

Step-by-step explanation:

divide 3.50 by 2 gives you 1.75 and 1.75+3.50= 5.25 which is the total spent.

1.75 x 6 is equal to 10.50 and 12.82-2.32= 10.50

Answer:

Step-by-step explanation:

nine thousand five hundred sixty two thousand four hundred thirteen.

Answer:i think D but i would see what others say first

Step-by-step explanation:

Answer:

B) 1p - 0.4p

Step-by-step explanation:

40% to a decimal is 0.4, so that immediately marks "A" and "C" wrong.

Now what you're trying to find is the expression itself, so you want to first look for keywords, 'cause sometimes they can just give away the answer.

"A" says you're multiplying (a variable beside a number means to multiply)

"B" says you're subtracting 1p (1 x p) and 0.4p (0.4 x p)

"D" says you're adding 1p (1 x p) and 0.4p (0.4 x p)

So, now you look over the question.

Really you can mark "A" wrong. Now it's just between "B" and "D."

When you use percentages and an item, you're taking it OFF the price. So, the answer is B.

Answer:

The simple interest is $58.5

Step-by-step explanation:

Mathematically;

Simple interest = PRT/100

where p is principal = $300

R is rate = 6.5%

T is time = 3 years

Substituting these values in the simple interest equation, we have that;

S.I = (300 * 6.5 * 3)/100 = $58.5

Answer:

6x^3 - 16x^2 - 14x + 24

Step-by-step explanation:

5) The height of a rocket after it is launched

For this case, what you should do is remember the kinematics expressions where we have:

a

v = a * t + vo

y = a * t ^ 2 + vo * t + i

Where,

a: acceleration

v: speed

y: vertical position

t: time

vo: initial speed

yo: initial position

We observe that the expression for the given position is given by a quadratic expression.

Answer:

[tex](f+g)(x)=x^2-4x-21[/tex]

Step-by-step explanation:

We are given:

[tex]f(x)=x^2-5x-14\text{ and } g(x)=x-7[/tex]

And we want to find:

[tex](f+g)(x)[/tex]

This is equivalent to:

[tex]=f(x)+g(x)[/tex]

Therefore, by substitution:

[tex]=(x^2-5x-14)+(x-7)[/tex]

Rearranging gives:

[tex]=(x^2)+(-5x+x)+(-14-7)[/tex]

Combine like terms:

[tex]=x^2-4x-21[/tex]

The mean of the data is 6.25. Then the mean absolute deviation of the data will be 1.75.

It is the average distance between each data point and the mean. Then the mean absolute deviation is given as,

[tex]\rm MAD = \dfrac{\Sigma _{i = 1}^n|x_i - \mu|}{n}[/tex]

The data is given below.

6, 2, 8, 4, 8, 6, 8, 8

The mean of the data will be given as,

μ = (6 + 2 + 8 + 4 + 8 + 6 + 8 + 8) / 7

μ = 50/8

μ = 6.25

Then the mean absolute deviation of the data will be given as,

MAD = (|6 - 6.25| + |2 - 6.25| + |8 - 6.25| + .... + |8 - 6.25|) / 8

MAD = (0.25 + 4.25 + 1.75 + 2.25 + 1.75 + 0.25 + 1.75 + 1.75) / 8

MAD = 14 / 8

MAD = 1.75

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Answer:

(2,1) because if you plug in 2 for for X you get 4 if you plug in 1 for y you get 6, 4 + 6 is equal to 10

Step-by-step explanation:

Answer: it's definitely not A(4,7) because you would get -1/4x+6=y

Step-by-step explanation:

if you try every single way of creating an equation nothing will come up

Answer:

Hi I hope you have a wonderful day!!

Step-by-step explanation:

I hope this makes your day :))!

Answer:

No, they are not inverses.

Step-by-step explanation:

To find out if this are inverses we will have to switch the x and y in one of the equations. Let's do it with the second equation:

(Remember that f(x)/g(x) and y are virtually the same)

y = -4x + 2

Switch x and y

x = -4y + 2

Now solve for y

x - 2 = -4y

[tex]-\frac{x}{4} + \frac{2}{4} = y\\-\frac{x}{4} + \frac{1}{2} = y[/tex]

Therefore, the 2 functions in the question are not inverses of each other because the actual inverse has a negative in front of the -x/4.

I hope this helps!!

- Kay :)

Answer/Step-by-step explanation:

✔️<1 can be named in two ways using letters, with the middle letter being the letter of the vertex of the angle. Thus is can be named as:

[tex] \angle ADB [/tex] or as [tex] \angle BDA [/tex]

✔️It is unclear to name <1 as <D because <2 can equally be named as <2 since both angles share a common point or vertex D.

Answer:

Move it to the [tex]\frac{-1}{2}[/tex] point

Step-by-step explanation:

Two minus makes one plus.

D = -[tex]\frac{1}{2}[/tex]

-(-D) = +(-[tex]\frac{1}{2}[/tex])

       = -[tex]\frac{1}{2}[/tex]

       = [tex]\frac{-1}{2}[/tex]

Answer:

-212

Step-by-step explanation:

This question seems to be incrementing by steps of -4, starting at -8.  To get the 52'nd term, we can simply start at the first term and add that -4 51 more times.

Assuming that negative eight is the first term then, we get:

-8 - 4 * 51

= -8 - 204

= -212

The 52nd term of the sequence will be -212.

A sequence of events or things is a number of events or things that come one after another in a particular order.

Given a sequence, -8, -12, -16,...

nth term of a sequence is given by

an = a + (n-1)*d

a(-212) = -8 + (52-1)*-4

a(-212) = -8-204

a(-212) = -212

Hence, The 52nd term of the sequence will be -212.

For more references on sequences, click;

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Answer:

6.325,6.38,6.4,6.42

Given:

Student ticket price = $7

A group of 4 students and 3 adults paid $64  in all for movie tickets.

To find:

Each of the adult ticket cost.

Solution:

Let x be the cost of each adult ticket.

Then, cost of 3 adult tickets = 3x.

Cost of 1 student ticket = $7

Cost of 4 student ticket = $7(4)

According to the question,

[tex]7(4)+3x=64[/tex]

[tex]28+3x=64[/tex]

[tex]3x=64-28[/tex]

[tex]3x=36[/tex]

Divide both sides by 3.

[tex]x=12[/tex]

Therefore, the cost of each adult ticket is $12.