When deriving the Quadratic Formula, we start with the general equation for a quadratic:

Answers

Answer 1

Answer:

Step-by-step explanation:

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Related Questions

Tell whether the rates are equivalent.

0.8 kilometer for every 2 minutes

0.2 kilometer for every 0.5 minute

Answers

Answer:

Yes.

Step-by-step explanation:

0.5 minutes is 1/4 of 2 minutes.

0.2 is also 1/4 of 0.8

you get what I'm sayin?

With the following cards, {blue, green, yellow, blue, red, pink} LaTrice created a sample space. From her chart what is the probability of NOT drawing a red card at all?

Answers

The probability of her NOT drawing a red card are very likely

You are currently paying rent every year for your restaurant. You still have a contract that will last 2 more years. Starting today, your rent will increase every year by 3.5%.
Think of the amount of rent you are paying right now. Then, determine how much rent you will be paying after 2 years.
Imagine that after two years you will have the opportunity to change rent contracts.
Show a situation in which it would be beneficial and one situation in which it would not be beneficial to change contracts.

Answers

The amount to be paid in rent after 2 years if the rent as of now is $3,000 will be; $3,213.675

The question allows that we choose the amount being paid as rent as of now.

Let the rent paid as of now be; $3,000

In essence; after the first year; the amount increases by 3.5% to become;

1.035 × $3,000

= $3,105.

After the second year; we have;

1.035 × $3,105

= $3,213.675

Ultimately; the amount to be paid after 2 years will be; $3,213.675.

When given the opportunity to change rent contracts;

A situation that will be beneficial would be a 3.5% reduction in rent per year A situation that will not be beneficial would be a 7% increase in rent per year.

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A 150-pound person uses 4.8 calories per minute when walking at a speed of 4 mph. How long must a person walk at this speed to use at least 250
calories?

Answers

Answer:

52.083

Step-by-step explanation:

1 min = 4.8 calories

? min=250calories

at the age speed

250/4.8 calories

=52.083min

please help and show work​

Answers

Answer:

When solving a rational equation, start by grouping or canceling out like terms. So cancel out x on the numerator and denominator of 2+7x/x. While the equation itself results in a contradictory statement - 5=9, the first step to figuring this out would be canceling out x.

Write an algebraic expression to represent the verbal statement: The product of the difference of m and 7 and 6.

Answers

Answer:

(m-7) * 6

Step-by-step explanation:

you follow the statement from left to right. You see that there's a product so you write a product sign

*

then you know its the difference of m-7 on one side and 6 on the other getting

(m-7) * 6

Solve the slope for the table.

Answers

Answer:

5

Step-by-step explanation:

Change in Y / Change in X = Slope

5/1 = 5

Sean wants to spend (example) $100 on clothing and he wants to purchase 6 additional items for his wardrobe. Each pair of pants costs $20 and each shirt costs $15.
a. What is the system of equations that represents this situation?

b. Can he buy 2 pair of pants and 4 shirts?

c. Show the solution graphically.

Please answer quickly!

Answers

A: I do not understand.

B: Yes

C: 2 pair pants is $40. 4 pair shirts is $60. $60 + $40 = $100

PLEASE HELP!! The figure below shows a line graph and two shaded triangles that are similar:

A line is shown on a coordinate grid. The x axis values are from negative 10 to positive 10 in increments of 2 for each grid line. The y axis values are from negative 5 to positive 5 in increments of 1 for each grid line. The line passes through the ordered pairs negative 6, negative 3, and 0, 0, and 6, 3. A shaded right triangle is formed so that its hypotenuse is from ordered pair 0, 0 labeled O to 4, 2 labeled A, one leg is from 0, 0 to 4,0, and the second leg is from 4,0 to 4, 2. Another shaded right triangle is formed with the hypotenuse is from 4, 2 to 6, 3 labeled B, one leg is from 4, 2 to 6, 2, and the second leg is from 6, 2 to 6, 3.

Which statement about the slope of the line is true?

It is fraction 1 over 2 throughout the line.
It is 2 throughout the line.
The slope from point O to point A is fraction 1 over 2 times the slope of the line from point A to point B.
The slope from point O to point A is 2 times the slope of the line from point A to point B.

Answers

The slope of the line of the graph is given by the ratio of the change in y-

coordinates to the change in the x-coordinates of the line.

The statement that is true about the slope of the line is; it is  [tex]\dfrac{1}{2}[/tex] throughout

the line.

Reasons:

The given parameter are;

The ordered pair through which the line passes = (-6, -3), and (0, 0) and (6, 3)

Points on the hypotenuse of the shaded right triangle = O(0, 0), and A(4, 2)

Points on the leg of the right triangle = (0, 0) to (4, 0)

Points on the second leg of the right triangle = (4, 0) to (4, 2)

Second right triangle;

Points on the hypotenuse = A(4, 2) to B(6, 3)

One leg of the right triangle extends from (4, 2) to (6, 2)

Second leg extends from  (6, 2) to (6, 3)

[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

[tex]\mathrm{Slope, \, of \ first \ triangle, \, m} =\dfrac{2-0}{4-0} = \dfrac{1}{2}[/tex]

[tex]x^{2} \mathrm{Slope, \, of \ second \ triangle, \, m} =\dfrac{3-2}{6-4} = \mathbf{\dfrac{1}{2}}[/tex]

Therefore;

The slope is [tex]\dfrac{1}{2}[/tex] throughout the line

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Help?..Please......:)

Answers

Answer:

The answer would be 0.05

so =D

Step-by-step explanation:

solve the equation: 4) 12
Ani2n 12)
417
Step 1: Use the distributive property
Step 2: Subtract n from both sides
63
41
Step 3: Simplify:
311
Step 4: Divide both sides by 3
301
3
Step 5: Simplify.
Check the solution to the example problem by replacing
z in the original equation with - 2 and evaluating both
sides. What true statement do you get?
to climinate the fraction in

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Answer:

not clear enough

Step-by-step explanation:

Evaluate the following by writing it as a difference of two squares first:
103^2 − 97^2

Answers

Answer:

1200

Step-by-step explanation:

A difference of 2 squares factors in general as

a² - b² = (a - b)(a + b) , then

103² - 97²

= (103 - 97)(103 + 97)

= 6 × 200

= 1200

The correct answer is 1200.

What is the difference between two squares called?

Where one perfect square is subtracted from another, is called a difference of two squares. It arises when (a − b) and (a + b) are multiplied together. This is one example of what is called a special product.

A difference of 2 squares factors in general is written as

a² - b² = (a - b)(a + b) , then

103² - 97²

= (103 - 97)(103 + 97)

= 6 × 200

= 1200

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#SPJ2

I got the answer but I don't know how to show my work, can ya'll tell me what I should write??

Answers

Answer:

one side is 16, the other is 8[tex]\sqrt{3}[/tex]

Step-by-step explanation:

30-60-90 angle triangle always give the following sides

1-[tex]\sqrt{3}[/tex]-2 , which is a-b-c

to label your triangle as such

8= a

other leg =b

hypotenuse = c

so. if a =8, then

c = 8*2 =16

b=8[tex]\sqrt{3}[/tex]

Gina wants to make muffins. The recipe for blueberry muffins calls for 2 3/4 cups of flour. The recipe for cornmeal muffins calls for 1 2/3 cups of flour. How many more cups of flour would Gina need for blueberry muffins than corn muffins?

Answers

Answer:

1 1/12

Step-by-step explanation:

You take 2 3/4 and subtract it by 1 2/3

Make them into improper fractions 11/4 - 5/3

you multiply 11/4 by 3 and 5/3 by 4 to get a common denominator

you get 33/12 - 20/12 and get 13/12

then make it a mixed number

hope this helps :)

Give me some tips for the Shsat that is tomorrow.

Answers

Answer:

1. Sleep well

2. Eat a proper meal to increase your energy

3. Do the ones you are good at first. Skip the harder questions

4. There are 2 parts. One is ELA while the other is math. Do the one that you are good at first so you wouldn't be annoyed.

5. When you are finished filling out the test slip double-check your work that way you could see which one you got wrong.

6. Have faith in yourself. :)

Step-by-step explanation:

Daniella has 130 baseball cards. She buys new cards to her collection every month. Which arithmetic sequence describes the number of cards in her collection?

Answers

Answer:

a1=130;an=an−1+10

Step-by-step explanation:

The answer is the third one.

She starts with 130

a1 = 130

She adds 10 every month.

So you take the number she had last month (represented by a_n-1) and adds 10.

Answer

a1 = 130

an = an_1 + 10

C

A recipe calls for 15 cup of milk for every 28 cup of flour. If Kenny wants to double the recipe, how many cups of flour will he need?

Answers

Answer:

Step-by-step explanation:

Answer:

56

Step-by-step explanation:

well if the recipe is 28 cups of flower, and he wants to double it, Then its 56, the milk is extrenuis info.

-12=24+b how do I solve this

Answers

Answer:

b = -9

Step-by-step explanation:

-12 = 24 + 4b             [tex]\longmapsto\\[/tex]            Subtract 24 from both sides

-12 - 24 = 24 + 4b - 24

-36 = 4b                    [tex]\longmapsto\\[/tex]            Divide all sides by 4

-36 ÷ 4 = 4b ÷ 4

-9 = b

-Chetan K

Answer:

-9 = b

Step-by-step explanation:

-12 = 24 + 4b

-12 - 24 = 4b

[tex]\frac{-36}{4} = \frac{4b}{4} \\[/tex]

Hope this helps!

A function is represented by the values in the table.
THIS FUNCTION REPRESENTED IN THE TABLE (CHOOSE IS or IS NOT) LINEAR PIC BELOW

Answers

Answer:

IS LINEAR

Step-by-step explanation:

x-2y > -8
x + y >1
A. (-5,3)
B. (0,5)
C. (3,-5)
D. (4,0)

Answers

Answer:

A. (-5,3)

Honestly, that is pretty much it and uh.Yeah

Find the perimeter, in feet, of the rhombus.

32 feet
60 feet
34 feet
68 feet

Answers

Answer:

68ft

Step-by-step explanation:

The formula of a perimeter of a rhombus:

P = 4a

a - length of side

We have a = 17ft

P = 4 · 17ft = 68ft

Justine and Kate are training for a race.
At every training session Justine runs x miles and Kate runs 3 more miles than Justine.
In one week, Justine and Kate both train every day.
In the 7 days they run 63 miles in total between them.
How many miles do Justine and Kate each run per day?

Answers

Answer:

Justine runs 3 miles a day and Kate runs 6 miles a day.

Step-by-step explanation:

x = number of miles ran in a day

x(7) + (x+3)(7) = 63

7x + 7x + 21 = 63

14x + 21 = 63

14x = 42

x = 3

3 + 3 = 6

Justine runs 3 miles a day and Kate runs 6 miles a day.

BRAINLIEST
Please help only three questions

Answers

Answer:

5. x=21.9 units

6. x=14 units

7. x=31.7 units

Step-by-step explanation:

5. Assuming that the line through the middle of the triangle in 5, we can split the 18 units side into 9 and 9. Using pythagorean theorem (a^2+b^2+c^2), we can find that x is equal to [tex]\sqrt{81+400}[/tex] making x [tex]\sqrt{481}[/tex]. Rounding to the nearest tenth, we get x is about 21.9 units

6. By doing pyth. th. on one of the triangles, we get sqrt(361-289) which is sqrt(72), which is about 8.5 units. Subtracting 8.5*2 from 31, we get 14 for x

7. by doing pyth th on the smaller triangle, we get sqrt 228 and now we can do pyth th again with 28 (44-16) and sqrt228, which turns out to be sqrt (784+228) which is sqrt (1002), which when rounded the nearest tenth is 31.7

Good Luck!

Answer:

Step-by-step explanation:

5.

So 18 is cut in half and forms 2 simmetrical right-triangles, yes? Yes.

So, if 20 is one of the collared, 9 will be the other collared and x will be the hypotenusa right? right.

x² = 20² + 9²

x² = 400 + 81

x² = 481

x = [tex]\sqrt{481}[/tex]

x =~ 21.93

x = 21.9

6.

Here we can se a square and 2 simmetrical triangles and if the hypo of one of them is 19 the other will also be etc. So for the small triangles:

y² = 19² - 17²

y² = 361 - 289

y² = 72

y = [tex]\sqrt{72}[/tex]

y =~ 8.48

x = 31 - (2 * 8.48)

x = 31 - 16,96

x = ~14,04

x = 14.0

Please help me solve this problem asap!

Answers

Dilation and rotation.

Calculate the frequency of a wave with a speed of 250m/s and a wavelength of 50m.


HELPPPPPPPPPPPPPPPPPPPPPPPP PLS

Answers

Answer:

formulas

frequency=speed/wavelength

f=250/50

f=50hz

write the equation of the line from the given information. slope 1/2, through (4,-3)

Answers

Answer:

y+3 = 1/2 (x-4)

Step-by-step explanation:

We can write the equation in point slope form

y-y1 = m(x-x1)

The slope is m and the point is (x1,y1)

y - -3 = 1/2(x -4)

y+3 = 1/2 (x-4)

“a fraction f multiplied by 13 equals 29.

Answers

Answer:

29/13

Step-by-step explanation:

The equation is a/b*13=29. So, if we divide the whole thing by 13m we get a/b=29/13. This means that a=29 and b=13. 29/13 is the maximum it can be simplified.

Please help me The point D,E,F and G all lie on the same segment, in that order, such that ratio of DE:EF:FG is equal to 4:1:4. If DG=36, find EG

Answers

Answer:

4+1+4+g=36

g=27

dg=32

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

DE : EF : FG = 4 : 1 : 4

DG = 36

DG = DE + EF + FG

-> 4x + x + 4x = 36

9x = 36

x = 4

so EG = EF + FG

= x + 4x

= 5x

= 20

Divide $80 among three people so that the second will have twice as much as
the first, and the third will have $5 less than the second. Using an algebraic
equation, find the amount that each will get.

Answers

Answer: 19,38, and 33.

Step-by-step explanation:

80=2x+x+2x-5=5x=95=x=19

PLEASE HELP ME 20 POINTS



Determine the x- and y-intercepts of the graph of X-4y=8

Answers

Answer:

x- intercept = 8 , y- intercept = - 2

Step-by-step explanation:

To find the x- intercept, let y = 0 in the equation and solve for x

x - 4(0) = 8

x - 0 = x

x = 8 ← x- intercept

To find the y- intercept, let x = 0 in the equation and solve for y

0 - 4y = 8

- 4y = 8 ( divide both sides by - 4 )

y = - 2 ← y- intercept

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