What basic algebraic technique is used to derive the quadratic​ formula?

graphing

finding the greatest common factor

writing the prime factorization of a number

completing the square

Answers

Answer 1

Answer:

Step-by-step explanation:

Completing the square....


Related Questions

Maya took a taxi from her house to the airport. The taxi company charged a pick-up
fee of $1.90 plus $4.50 per mile. The total fare was $24.40, not including the tip.
Write and solve an equation which can be used to determine m, the number of miles
in the taxi ride.

Answers

24.40 minus 1.90 minus 4.50

One number is five less than another. Their sum is fifteen. Find the numbers.

Answers

Answer:

THE NUMBERS ARE 10 AND 5

Step-by-step explanation:

LET THE ANOTHER NUMBER BE X THEN

ONE NUMBER = X - 5

BY THE QUESTION

X - 5 + X = 15

2X = 15 + 5

2X = 20

X = 10

X - 5 = 10 - 5 = 5

Answer:

hi 5 and 10 is required no.

let no. be x

another no.be x+5

Step-by-step explanation:

sum=15

x+x+5=15

2x=15-5

2x=10

x=10/2=5

x+5=5+5=10

Which customary unit would you use to measure the amount of flour in
a cake recipe?
1. cups
2. feet
3. fluid ounces
4. inches
5. ounces

Answers

Answer:

cups !!

Step-by-step explanation:

The answer is cups.

A convex octagon has interior angles with measures (x + 55). (3x + 20), 4x°. (4x - 10). (6x - 55) (3x + 52). 3.xº, and (2x + 30). Find
the value of x.

Answers

Answer:

mmmmmmmmkkkkkkkkkkkkkkkkkk

help please! I added extra points

Answers

Answer:

a

Step-by-step explanation:

Answer:

A. The first option.

Step-by-step explanation:

Using the distributive property you can see that when you distribute them you would get something like (8 x 4) + (3 x 4) = 44. The first option is the only one that states this.

Hope this helps :)

Determine if the sequence below is arithmetic or geometric and determine the
common difference / ratio in simplest form.
20, 10, 5, ...

Answers

Answer:

geometric, with a common ratio of 1/2

Step-by-step explanation:

The sequence is geometric because you get successive trems by multiplying the previous term by a certain constant, the 'common ratio'. (If you got each successive term by adding or subtracting  the same constant number each time, that would be an arithmetic sequence.)

In this case, it looks like you get each successive term when you multiply the previous term by 1/2.

Thus, the common ratio is 1/2.

Henry has 96 marbles. he is packing containers with 8 marbles in each container. how many containers, c, does Henry need to pack all the marbles?

Answers

Yurrr alohad decima rehas bendego
96 / 8 = 12

The answer is:

12c

Can someone help? Please I need it quickly

Answers

Answer:

Step-by-step explanation:

ok so the answer for the one after 12x is 8x I think but it would only make sens i dunno the answer to the fraction

Answer and Step-by-step explanation:

Let's solve your equation step-by-step.

−2(x+5)=4

Step 1: Simplify both sides of the equation.

−2(x+5)=4

(−2)(x)+(−2)(5)=4(Distribute)

−2x+−10=4

−2x−10=4

Step 2: Add 10 to both sides.

−2x−10+10=4+10

−2x=14

Step 3: Divide both sides by -2.

-2x/2 = 14/-2

x equals...

x=-7

A math student has a plan to solve the following system by the elimination method. To eliminate the x-terms, he wants to multiply the top equation by 7. What
should he multiply the second equation by so that when he adds the equations, the x-terms are eliminated?
-3x-7--56
-7x+10y - 1

Answers

Answer:

-3

Step-by-step explanation:

7(-3x-7y-56)

-21x-49y-392

-3(-7x+10y-1)

21x-30y+3

because the eq. multiplied by 7 is negative, the second eq mus be positive in order to eliminate the x variable. this is why we multiply by a (-). by multiplying the second eq by 3, both eq. will result in a coefficient of 21. one positive one negative allowing the x variable to be eliminated from the problem.

Write an expression to show k less than 10

Answers

Step-by-step explanation:

"Write an expression to show k less than 10"

"less than" means that the number is being subtracted from a different number.

This means that "10" is being subtracted from "k"

Thus,

k - 10 is the appropriate expression for the statement, "k less than 10"

ANSWER:   k - 10

(6x-3)(4x-1) standard form​

Answers

Answer:

6x+3

Step-by-step explanation:

24x-6x-12x+3

6x+3

2z=-6 can you help me with that question?​

Answers

Answer:

2z=-6 equation solution

Step-by-step explanation:

2z=-6

z=-6/2

z=-3

z = -3 , hopefully that helps you.

Rachel needs to buy at least 72 juice boxes for a community picnic. At the store, juice boxes are sold in packs of 3 juice box each. How many packs of juice boxes does Rachel need to buy?

Answers

Answer:

24

Step-by-step explanation:

Answer:

3x = 72

x = 24

3(24) = 72

24 boxes of juice need to be bought.

hope this helped yw

Which statement correctly identifies a point on the graph of f–1(x)?

Answers

Answer:

Step-by-step explanation:

I didn’t see any choices but an inverse function switches the x and y values.

For every (x,y) of f(x) the inverse function will have (y,x) of f^-1(x)

Answer:

The point (4, –7) is on the graph of f(x), so the point (7, –4) will be on the graph of f–1(x).  (quick answer A)

Step-by-step explanation:

The ratio of math teachers to choir teachers is 3:2 respectively. There are 12 math teachers. How many math and choir teachers are there all together?

Answers

Answer:

Hi liddywiddy, sorry you had to wait so long

There are 20 teachers in all

Step-by-step explanation:

the ratio 3:2 is now 12:x

12 / 3 = 4

so the multiplier is 4

now:

4x2 = 8

Next we add them: 12+ 8 = 20

Answer:

20 teachers in all

Step-by-step explanation:

12 / 3 = 4,

4 * 2 = 8,

so 12 + 8 = 20

WILL GIVE BRAINLIEST
A circle is divided into 4 slices. The slices are arranged into the shape shown.
What shape would you get closer to if you kept cutting the circle into more
and more slices?
A. A circle, and then a cone

B. A parallelogram, and then a rectangle

C. A parallelogram, and then a triangle

D. A triangle, and then a trapezoid

Answers

Answer:

B

Step-by-step explanation:

A p e x :3

Answer: B a parallelogram and then a rectangle

Step-by-step explanation:

Need help thank you:)

Answers

Answer:

[tex]F = 1.8C + 32[/tex]

Step-by-step explanation:

Given

The attached table

Required

The relationship between both temperatures

This implies that we calculate the table equation

First, we calculate the slope (m)

[tex]m = \frac{F_2 - F_1}{C_2 - C_1}[/tex]

Where:

[tex](C_1,F_1) = (0,32)[/tex]

[tex](C_2,F_2) = (20,68)[/tex]

So, we have:

[tex]m = \frac{68 - 32}{20 - 0}[/tex]

[tex]m = \frac{36}{20}[/tex]

[tex]m = 1.8[/tex]

The equation is then calculated using:

[tex]F = m(C - C_1) + F_1[/tex]

This gives:

[tex]F = 1.8(C - 0) + 32[/tex]

[tex]F = 1.8(C ) + 32[/tex]

[tex]F = 1.8C + 32[/tex]

Find the probability.
You roll a fair six-sided die. The die shows a three or a five.

Answers

Answer:

b) 0.333

Step-by-step explanation:

there are 6 options that you can get when you roll a dice. 1, 2, 3, 4, 5, 6. if you want to get a 3 or a 5, that means you want 2/6 possible outcomes. 2/6 is 0.333

Answer: B
Hope this helps :)

When simplified, the expression (x^1/9) (x^2/9).
is 6. Which is a possible value of x?

Answers

Answer:

Step-by-step explanation:

x^(1/9)(x^(2/9))

x^(1/9+2/9)

x^(3/9)

x^(1/3)=6

x^(1/3)^(3)=6^3

x=216

solve the systems of equations y=2x and y=-x - 6

Answers

Answer:

y = -4

x = -2

Step-by-step explanation:

Hi there...

y = 2x

y = -x - 6

Since why is equal to 2x, we can plug it in for y in the second equation. Here's what I mean...

2x = -x - 6

add x on both sides...

3x = -6

divide by 3 on both sides...

x = -2

Now, plug in x for y. Here's what I mean...

y = 2x

y = 2 (-2)

y = -4

Hope this helps :)

Three rides at the Fun Park cost $10.50. How
many rides can you get on with $38.50?

Answers

i believe you can only go on 3

Answer:

With $38.50 you can get on 11 rides.

Step-by-step explanation:

10.50 ÷ 3 = 3.50 per ride.

38.50 ÷ 3.50 = 11 rides.

What is the slope of X= -15

Answers

Answer:

Step-by-step explanation:

Since x = -15 is a vertical line, their is no y- intercept and the slope is undefined

Find the value of y

95
15
19
85

Answers

Answer:

im only doing this bc im forced to

Answer:

19

Step-by-step explanation:

180-85 = 5y

5y = 95

y = 19

Six Pepperidge Farm bagels were weighed, yielding the following data (grams):

117.6

109.5

111.6

109.2

119.1

110.8

(Note: 4 ounces = 113.4 grams)

a. Assuming that the six bagels are a random sample and the weight is normally distributed, estimate the true average weight and standard deviation of the weight using maximum likelihood.

b. Again assuming a normal distribution, estimate the weight below which 95% of all bagels will have their weights. (Hint: What is the 95th percentile in terms of μ and σ? Now use the invariance principle.)

Answers

Answer:

A) Average weight = 112.97

standard deviation = 3.913

B) 119.4069

Step-by-step explanation:

A) Estimate the true average weight and standard deviation of the weight

attached below is a detailed solution

Average weight = 112.97

standard deviation = 3.913

B) Assuming a normal distribution Estimate the weight below

attached below is a detailed solution

= 119.4069

Imagine you are hanging two identical picture frames. Each frame is 28 inches wide and the wall you are hanging them on is 10 feet wide. There needs to be 8 inches of space in between the two frames. How far do the frames need to be from the left and right side of the walls in order to be centered?

Answers

Answer:

28 inches

Step-by-step explanation:

Sum of the width of the two frames and a gap between them:

28*2 + 8 = 64 in

The gaps from the left and right are equal to x:

x = (10 feet - 64 in)/2 = (120 in - 64 in)/2 = 28 in

This is midpoints geometry I need help soon.

Answers

Answer:

x=4.5

Step-by-step explanation:

PR=28

PQ= 2x+5

Require

Find X

What is BD? please help bru i keep getting trollers

Answers

Answer:

BD=13

(This must not be drawn to scale)

Step-by-step explanation:

You have to use the Angle Bisector Theorem to get a ratio.

12/x=27/(x+5)

cross multiply

12(x+5)=27x

12x+60=27x

60=27x-12x

60=15x

60÷15=x

x=4

BD=x+x+5=4+4+5=13

Bd =13 that is easy but yuh that’s the answer mate

Please help and quick

Answers

4 and 2 because she is the acrooss line

A gas station sells 1600 gallons of gasoline per hour if it charges $ 2.70 per gallon but only 900 gallons per hour if it charges $ 2.95
per gallon. Assuming a linear model
(a) How many gallons would be sold per hour of the price is $ 2.90 per gallon?
Answer:
(b) What must the gasoline price be in order to sell 1300 gallons per hour?
Answer:

Answers

Answer:

Look just at finding the linear model. Two points. Use price per gallon for x and gallons per hour sold for y. Your two points (x,y) are (2.15,1600) and (2.55,800).

Slope m=%281600-800%29%2F%280.15-0.55%29

m=800%2F0.40

m=2000

Using point-slope form for a line, and the lower-y point,

y-800=2000%28x-2.55%29

highlight%28y=2000%28x-2.55%29%2B800%29


[tex].072 \div 345.00[/tex]
round in nearest tenth

Answers

Dividing a number less than a tenth by several hundred will give a result that is very much less than a tenth. Rounded, you get 0.0.
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