Solving quadratic equations using the quadratic formula.

Answers

Answer 1

Answer:

what is there supposed to be a picture

Answer 2

Answer:

Down Here ↓↓↓

Step-by-step explanation:

Hello!

Standard Form of a Quadratic: [tex]ax^2 + bx +c[/tex]

Quadratic Formula: [tex]x = \frac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]

To solve a quadratic using the quadratic formula, you have to plug values in for "a", "b", and "c" into the quadratic equation. Let's go over an example question.

Question: [tex]2x^2 +4x+2[/tex]

Solution:

Determine the values of "a", "b", and "c".

a = 2b = 4c = 2

Plug it into the quadratic equation to solve.

Solve:

[tex]x = \frac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex][tex]x = \frac{-(4) \pm\sqrt{(4)^2-4(2)(2)}}{2(2)}[/tex][tex]x = \frac{-4 \pm\sqrt{16 - 16}}{4}[/tex][tex]x = \frac{-4 \pm\sqrt{0}}{4}[/tex][tex]x = \frac{-4}{4}[/tex][tex]x = -1[/tex]

The value of x is -1.


Related Questions

Which expression represents the surface area of the prism?

Answers

Answer:

A, 2 · 8 + 2 · 55 + 88

Step-by-step explanation:

If we find the area of the two triangles above and below, we know the area of one triangle is 8 because (formula for area of triangle: a = bh x 1/2, and   a = 8(2) x 1/2 which equals 8). So if we double this area, we would get 2 · 8.

If we were to find the area of both the rectangles that are left and right of this figure, we know the area of one rectangle would be 55 because (formula for area of rectangle: a = l x w, and a = 5(11) would equal 55). So if we'd doubled this, we would get 2 · 55.

If we were to find the area of the rectangle in front of this entire figure, we know the area would be 88 because (formula for area of rectangle:                a = l x w, and a = 11(8) which would equal 88).

So if we find the surface area of this figure, we'd just need to piece this together to form:-

2 · 8 + 2 · 55 + 88

Answer:

2 · 8 + 2 · 55 + 88

Step-by-step explanation:

I do it right in khan academy

The diameter of a circle is 28 inches. What is the circle's circumference

Answers

Answer: 87.92.

Step-by-step explanation: To find the circumference of a circle, you need the following equation:

2 x π x r, where π is ≈ 3.14 and r is the circle's radius.  If you are ever given the diameter instead of the radius, just cut the diameter in half.  In this case, the diameter was given, so we need to cut 28 in half, which makes 14.  Your equation should look like this:

2 x 3.14 x 14 ≈ 87.92.

Hope this helps! :)

3. What is the surface area of this composite solid? Show your work.
5 ft
5 ft
3 ft
4 ft
10 ft
8 ft

Answers

If I were you, I would cut the solid in half where the dashed line on the triangle height is. After that, just solve for the area of each face. Add those up together. After that, just multiply your sum by 2, since you previously split the solid in half earlier.

Hope this helps!

Hey, help with my homework pls
(Find the missing value in each of the pairs of equivalent ratios below)
X/10 = 6/15
12/9 = 8/X
16/38 = 200/m

Answers

Answer:

4, 6, and 475

Step-by-step explanation:

See attached image.

Which of the following is equivalent to sin A?
A: cos A
B: tan A
C: cos C
D: tan C

Answers

Answer:

C: cos C

Step-by-step explanation:

Hope it helps you in your learning process.

sin A = BC/AC = 15/17 .....(1)

cos C = BC/AC = 15/17 .....(2)

From (1) & (2)

sin A = cos C

Answer:

It´s C

Step-by-step explanation:

Cos C

4 x 10 to the power of 7 is ? times as much as 4 x 10 to the power of 3.
A. 4 x 10(4)
B. 10(4)
C. 10(10)
D. 4 x 10(10)

Answers

Answer:

The right choise is

b. 10(4)

Step-by-step explanation:

B) 10(4).

Answer: the answer is b 10(4)

1/3m - 1 - 1/2n evalute

Answers

Answer:

Step-by-step explanation:

1) Simplify 1/3m to m/3.

m/3 - 1 - 1/2n

2) Simplify 1/2n to n/2.

m/3 - 1 - n/2

What is the median of the data shown?

38, 50, 43, 33, 35, 30, 64, 43, 41

Answers

The median is the middle number in the data.

Sort them out in order.

30, 33, 35, 38, 41, 43, 43, 50, 64

The middle number is 41 so the median is 41.

ummm i might be very wrong on this but i think it’s 39.5 don’t trust that answer though

If the side of a square is 3/4 feet, what is the area of the square

Answers

[tex]\text{Area of square}=~ \text{Side}^2\\\\~~~~~~~~~~~~~~~~~~~~~=\left(\dfrac 34 \right)^2\\\\~~~~~~~~~~~~~~~~~~~~~=\dfrac{9}{16}~ \text{ft}^2[/tex]

Answer:

0.5625

Step-by-step explanation:

The formula is (L x W)

L = 3/4

W = 3/4

Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Also remember to rate answers to help other students, While leaving thanks to answers that help you. Have a great day!

HI CAN HELP MEEEE I DONT KNOW THIS

Answers

Answer:

Option B, [tex]2x^2 - 3x + 10[/tex]

Step-by-step explanation:

Step 1:  Distribute the values

[tex]2(x^2 + 5)-3(x+1) + 3[/tex]

[tex](2*x^2 + 2*5) - (3*x + 3*2) + 3[/tex]

[tex]2x^2 + 10 - 3x - 3 + 3[/tex]

Step 2:  Combine like terms

[tex]2x^2 + 10 - 3x - 3 + 3[/tex]

[tex]2x^2 - 3x + 10[/tex]

Answer: Option B, [tex]2x^2 - 3x + 10[/tex]

Answer:

The correct answer is B

Step-by-step explanation:

PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE

According to the directions in a bottle of Armstrong concentrated floor cleaner for routine cleaning 1/4 cup of cleaner should be mixed with 1 gal of warm water. How much cleaner should be mixed with
10 1/2 gal of water ?

Answers

Answer:

2 and 3/4 cups

Step-by-step explanation:

because if a quarter cup is used in 1 gallon than one cup is used in two gallons. this than trasferes up to the ratio of 2/8, which means two cups cleaner and 8 gallons water for 10 gallons it would be 2 and a half cups and for 10and 1/2 gallon it would be 2 and 3/4 cups

Brainlist A 12" diameter 1-topping pizza costs $8.99. A 14" diameter 1-topping pizza costs $10.99. Which pizza option
gives you more for your money? Justify your answer.

Answers

Answer:

The 14" diameter pizza gives you more pizza for your money since it costs less per square inch.

Step-by-step explanation:

We can find the price per square inch of each pizza.

area = πr²

12" diameter pizza

area = π × (6 in.)² = 36π in.²

cost per in.²: $8.99/(36π in.²) = 0.079 $/in.²

14" diameter pizza

area = π × (7 in.)² = 49π in.²

cost per in.²: $10.99/(49π in.²) = 0.071 $/in.²

The 14" diameter pizza gives you more pizza for your money since it costs less per square inch.

find the measures of x and y

please helppp!

Answers

Answer:

Each angle has a measure of 75 degrees

Step-by-step explanation:

First of all, we know that angle Z has a measure of 120 degrees and that angle W is a right angle. This means that the measure of angle W would have to be 90.

Next, we know that because the shape is a quadrilateral, the sum of its interior angles has to be equal to 360. Since we know that the measure of angles X and Y are equal (by definition of congruent), we will label them both with the variable x. We can then say the following:

2x + 90 + 120 = 360

We can then proceed to simplify this:

2x + 210 = 360

2x = 150

x = 75

So, the measure of x and y are 75.

please help, thank you if you do!

Answers

Answer:

The constant ratio is 2.

Explanation:

Everything is multiplied by 2.

I hope this helps. :)

Complete The Table
Original Price ( )
Percent Of Discount 25%
Sale Price $40
What is the original price?

Answers

Answer:

$ 53.33

Step-by-step explanation:

x = original price

.75 * x = 40

x = 40 / .75 = 53.33

Let original price be x

Discount=25%

Hence

x-0.25x=40(1-0.25)x=400.75x=40x=40/0.75x=40/(3/4)x=53.34$

A diver jumps from a diving board. The diver's height (h in meters) of his
feet above the water is found using the equation h(t) = -4.9t? +91 +3 where
t is the time in seconds after the diver jumps. What is the height of the
diving board above the water?

Answers

if the diver has not jumped yet (t = 0) then his feet must be on the diving board. therefore plug in 0 and solve.

h(t) = -4.9(0) + 91 + 3 = 94 meters

but this seems extremely high so please check that you have copied the question down correctly.

Proportions word problems Financial Algebra


1. Emily enlarged the size of a painting to a width of 15 in. What is the new height if it was originally 3 in. Wide and 4 in. Tall?


17 in.


5 in.


20 in.


23 in.


2. 20 Fuji apples cost $12. How many Fuji apples can you buy for $3?


8


5


7


1


3. The currency in Egypt is the Pound. The exchange rate is approximately $1 for every 6 Pounds. At this rate, how many dollars would you get if you exchanged 12 Pounds?


$72


$5


$6


$2


4. Mike was planning a trip to Jordan. Before going, he did some research and learned that the exchange rate is 3 Dinars for every $4. How many Dinars would he get if he exchanged $12?


9 Dinars


0 Dinars


14 Dinars


8 Dinars


5. If you can buy four bunches of seedless black grapes for $10, then how many can you buy with $5?


3


2


1


13


6. Ryan was planning a trip to Switzerland. Before going, he did some research and learned that the exchange rate is $3 to 4 Francs. How many Francs would he get if he exchanged $12?


16 Francs


14 Francs


9 Francs


6 Francs


7. Pranav took a trip to Jordan. Upon leaving he decided to convert all of his Dinars back into dollars. How many dollars did he receive if he exchanged 16 Dinars at a rate of 2 Dinars for every $3?


$10. 67


$24


$22


$20


8. The money used in Saudi Arabia is called the Riyal. The exchange rate is 7 Riyals = $2. Find how many Riyals you would receive if you exchanged $4.



18 Riyals


14 Riyals


1 Riyals


12 Riyals

Answers

2)5 3)$2 4)9 dinars 5)2 6)16 Francs 7)$24 8)14 riyals

3. A triangle has two angles that measure 85° and 23°. Which has to be the measure of the third angle?
A.95°
B.157°
C.108°
D.72°

Answers

Answer:

72

Step-by-step explanation:

Answer:  D. 72°

Step-by-step explanation:

Because a triangle equals 180 we take the given info in order to find x

[tex]85+23+x=180\\108+x=180[/tex]

[tex]108+x=180\\-108=-108\\x=72[/tex]

This year, you owed $6,414.95 in federal income tax. if you are taxed at a net rate of 17%, what was your taxable income for this year? a. $109,054 b. $26,792 c. $44,867 d. $37,735 please select the best answer from the choices provided a b c d

Answers

The taxable income for this year will be $37,735. Then the correct option is D.

What is the percentage?

The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.

This year, you owed $6,414.95 in federal income tax.

If you are taxed at a net rate of 17%.

Then the taxable income for this year will be given by

[tex]\rm Taxable\ income = \dfrac{6414.96}{0.17}\\\\Taxable\ income = 37735.05 \approx 37735[/tex]

More about the percentage link is given below.

https://brainly.com/question/8011401

Answer:

37,735

Step-by-step explanation:

For what values of x is x2 2x = 24 true? –6 and –4 –4 and 6 4 and –6 6 and 4

Answers

The value of the x of the equation x² + 2x = 24 is negative 6 and 4, then the correct option is C.

What is a factorization?

It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.

The expression equation is given below.

x² + 2x = 24

x² + 2x – 24 = 0

On factorization, we have

       x² + 2x – 24 = 0

x² + 6x – 4x – 24 = 0

       (x – 4)(x + 6) = 0

                         x = –6, 4

The value of x is –6 and 4.

More about the factorization link is given below.

https://brainly.com/question/6810544

why is math so hard :(​

Answers

Step-by-step explanation:

Check out the attached photo

Segment (JG) bisect ∠FGH. Use the proportion from (FJ) to (FG) to find the missing length of (HJ)

Answers

GF/FJ=GH/HJ6/4=9/HJ3/2=9/HJ3HJ=18HJ=18/3HJ=6

Answer:

HJ = 6

Step-by-step explanation:

The sides are in the proportion :

[tex]\frac{FJ}{FG} = \frac{HJ}{HG}[/tex]

Therefore,

[tex]\frac{4}{6} = \frac{2}{3} = \frac{HJ}{9}[/tex]HJ = 18/3HJ = 6

Apparently it is not 36, someone please help.

Answers

Answer:

i think it would be 9

Step-by-step explanation:

Answer:

9cm

Step-by-step explanation:

the formula of the perimeter of a square is s+s+s+s which is simplified to s4

to solve this we go backwards

S4=36

divide both sides by 4

S=9

The basketball team has 20 more players than the baseball team does. There are 100 players total. How many players play basketball? How many players play baseball?

Answers

Answer:

Basketball team has 60 players
Baseball team has 40 players

Step-by-step explanation:

60 + 40 = 100

Oscar has elected to have 23% of his federal income tax withheld as state income tax. if $154.00 was withheld as federal income tax on his last paycheck, how much will be withheld from his paycheck for income tax in all? a. $35.42 b. $118.58 c. $177.00 d. $189.42 please select the best answer from the choices provided a b c d

Answers

The amount that will be withheld from his paycheck for income tax in all is d. $189.42.

What is the amount withheld?

The amount withheld is a credit against the income taxes the employee must pay during the year.

The amount withheld from his paycheck for income tax in all is given by;

Amount withheld = State income tax + ( State income tax× Percentage of federal income tax)

Where:

State income tax=$154.00

Percentage of federal income tax=23%

Substitute all the values in the formula

Amount withheld=$154.00+($154,00×23%)

Amount withheld=$154.00+$35.42

Amount withheld=$189.42

Hence, the amount that will be withheld from his paycheck for income tax in all is d. $189.42.

Learn more about income tax here:

brainly.com/question/25641320

PLEASE HELP I NEED THE ANSWER

Consider f (x) = StartFraction 7 x squared + x + 1 Over x Superscript 4 Baseline + 1 EndFraction Which statement correctly uses limits to determine the end behavior of f(x)? Limit of StartFraction 7 x squared + x + 1 Over x Superscript 4 Baseline EndFraction as x approaches plus-or-minus infinity = limit of StartFraction 1 Over 1 EndFraction as x approaches plus-or-minus infinity, so the end behavior of the function is that as x ± ∞, f(x) → 1. Limit of StartFraction 7 x squared + x + 1 Over x Superscript 4 Baseline EndFraction as x approaches plus-or-minus infinity = limit of StartFraction 7 Over x squared EndFraction as x approaches plus-or-minus infinity, so the end behavior of the function is that as x ± ∞, f(x) → 0. Limit of StartFraction 7 x squared + x + 1 Over x Superscript 4 Baseline EndFraction as x approaches plus-or-minus infinity = limit of StartFraction 7 Over x squared EndFraction as x approaches plus-or-minus infinity, so the end behavior of the function is that as x ± ∞, f(x) → 7. Limit of StartFraction 7 x squared + x + 1 Over x Superscript 4 Baseline EndFraction as x approaches plus-or-minus infinity = limit of StartFraction 7 x squared Over 1 EndFraction as x approaches plus-or-minus infinity, so the end behavior of the function is that as x ± ∞, f(x) → ∞.

Answers

Step-by-step explanation:

It's option b

if u want full solution pls mention in comment

The Correct option is B.

What is function in Limit ?

Informally, a function f assigns an output f(x) to every input x.

What is the difference between function and limit ?

The value of a function is the actual calculation done at a certain point. The limit is - roughly speaking - the value at points that are “arbitrarily close” to the same point.

Learn more about limit and functions here: brainly.com/question/1276816

#SPJ2

You decide to bake a pizza. The pizza crust that you purchase has a diameter of 14 inches.


If you decide to do stuffed crust, you need to put cheese around the outer edge. How many inches of cheese do you need?


How much space do you have to cover with sauce, cheese, and toppings?

Answers

Using the circumference of the pizza, it is found that you have 44 inches to cover the pizza.

What is the circumference of a circle?


The circumference of a circle is the length of it's outer edge, and considering a diameter d, is given by:

[tex]C = \pi d[/tex]

In this problem, the diameter is of 14 inches, hence the circumference is given by:

C = 14pi = 44 inches.

You have 44 inches to cover the pizza.

More can be learned about the circumference of a circle at https://brainly.com/question/3627279

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Find the perimeter and round to nearest tenth

Answers

Answer:

40.1

Step-by-step explanation:

You need to add up all of the outside numbers and leave the inside alone since you are working with perimeter, adding together all of the outside numbers will get you 40.1

4. Find the equation of the line that goes through the point (1.-1) and has a siope of 5.
y=x+5
y = 5x-1
y = 5x+1
y = 51-6

Answers

Answer:

y=5x-6

Solution:First, let's write the equation of the line in Point-Slope Form:y-y1=m(x-x1)y-(-1)=5(x-1)y+1=5(x-1Convert into slope-intercept:y+1=5x-5y=5x-5-1y=5x-6

Hope it helps.

Do comment if you have any query.

Tim can paint a room in 6 hours. Bella can paint the same room in 4 hours. How long will it take if Tim and Bella work together?

Answers

Answer:

Step-by-step explanation:

[tex]\sf \text{Work done by Tim in 1 hour = $\dfrac{1}{6}$}\\\\\text{Work done by Bella in 1 hour = $\dfrac{1}{4}$}[/tex]

[tex]\sf \text{Work done by both Tim and Bella in 1 hour =$\dfrac{1}{6}+\dfrac{1}{4}$}[/tex]

                                                                      [tex]=\dfrac{1*4}{6*4}+\dfrac{1*6}{4*6}\\\\=\dfrac{4}{24}+\dfrac{6}{24}\\\\=\dfrac{10}{24}\\\\= \dfrac{5}{12}[/tex]

[tex]\bf Time \ taken = \dfrac{12}{5}[/tex]

                     = 2.4 hours

                     [tex]= 2 \ hours \ 24 minutes[/tex]

[tex]\sf \text{Work done by both Tim and Bella in 1 hour = \dfrac{1}{6}+\dfrac{1}{4}}[/tex]

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