Mathematics High School

Solve the quadratic equation by factoring.
4x² - 20x + 28 = 3

A) x = 5
B) x = 5/2
C) x = 2/5
D) x = - 5/2

Answers

Answer 1

Answer:

B)  x = 5/2

Step-by-step explanation:

subtract 3 from each side to get:

4x² - 20x + 25 = 0

this is the difference of 2 squares:

(2x -5)² = 0

one solution, x = 5/2

Answer 2

Answer:

B)  x = 5/2

Step-by-step explanation:

4x² - 20x + 28 = 3

Move terms to the left side

4x² - 20x + 28 - 3 = 0

Subtract the numbers

4x² - 20x + 25 = 0

Use the quadratic formula

[tex]x =\frac{-b+\sqrt{b^{2}-4ac } }{2a}[/tex]

Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.

4x² - 20x + 25 = 0

a = 4

b = -20

c = 25

x = [tex]\frac{-(-20)+\sqrt{(-20)^{2}-4x4x25 } }{2x4}[/tex]

Evaluate the exponent

x = [tex]\frac{20+\sqrt{400-4x4x25 } }{2x4}[/tex]

Multiply the numbers

x = [tex]\frac{20+\sqrt{400-400 } }{2x4}[/tex]

Subtract the numbers

x = [tex]\frac{20+\sqrt{0} }{2x4}[/tex]

Evaluate the square root

x = [tex]\frac{20+0 }{2x4}[/tex]

Add zero

x = 20 / 2 x 4

Multiply the numbers

x = 20 / 8

Cancel terms that are in both the numerator and denominator

x = 5/2

Related Questions

There are 3 red marbles, 4 blue marbles, 2 green
marbles, and 6 clear marbles in a burlap bag. One
marble is randomly pulled from the bag. What is
the probability the marble was green?

Answers

Answer:

2 out of 15 chance its green

Step-by-step explanation:

there's 15 marbles in total and 2 are green

-8^2+18/ 3=
Evaluate the expression.

Answers

-8 to the second power is -64. 18/3 is 6. -64+6 is -58!!

What is the result of 3 divided by three-fifths?

A number line going from 0 to 3.
One-ninth
One-fifth
5
9

Answers

Answer:

its 5 or c

Step-by-step explanation:

ur weecome

Answer:

What is the result of 3 divided by three-fifths?

A number line going from 0 to 3.

One-ninth

One-fifth

5

9

Step-by-step explanation:

the awnser is 5

Solve for b. Thank you

Answers

Answer:

c

Step-by-step explanation:

simplify both sides then isolate the variable

Answer:

C

Step-by-step explanation:

In order to find "b" (the y-intercept) from the equation y=mx+b ... If you know the slope (m), use any one of the given points by substituting the Y value of the given point for y, and substituting the X value of the given point for x. Solve for b = Y-mX.

Find the volume of the following
square pyramid.
26 cm
20 cm
20 cm

Answers

I think the volume is 3,400

Just look it up on socratic

help as soon as possible

Answers

Answer: A. 117,600 people.

Answer:

Its 119,318

Step-by-step example:

subtract 100 from 12 you get 88 then do 88% of 119,318, you get 104,999.84. Round 104,999.84 up and you get 105,000.

Instructions: Given the vertex of a quadratic function, find the axis of symmetry.
(-1,3)

Answers

The answer is A because of the bar graph

Select all the true statements.

x=y

Answers

Answer:

What is the question?????

Ivan has a sticker collection. 2/5 of his stickers are scratch-and-sniff stickers. 1/4 of his scratch-and-sniff stickers smell like bananas. What fraction of Ivan's sticker collection smells like bananas? *

Answers

Answer:

1 / 10

Step-by-step explanation:

From the question :

Fraction of scratch and sniff sticker from total stickers = 2/5

1/4 of scratch and sniff stickers smell like banana :

Fraction of total stickers that smell like banana :

(Fraction of scratch and sniff sticker from total stickers) * (scratch and sniff stickers smell like banana)

= (2/5) * (1/4)

= 2 /20

= 1/10

Josie is looking at buying a new phone for $800.If she does not want to pay the entire $800 she has the option of buying the phone for a $150 deposit and making 12 monthly payments of $75 each. If Josie chooses the payment plan what will be the percent increase on the original cost of the phone?

Answers

Answer:A 131.25%

Step-by-step explanation:

What is the value of tan x

Answers

Answer:

THE ANSWER HAS TO BE 6/10

Step-by-step explanation:

be careful there are people scamming on this app

What solid figure has two bases, but no lateral faces?

A.cone
B.cylinder
C.rectangular prism
D.triangular prism

Answers

Answer:

B - Cylinder

Step-by-step explanation:

It has 2 bases (one on top and one at the bottom)

And It has no lateral faces

Answer: cylinder

Step-by-step explanation:

hope this helps

Suppose three moons A, B, and C orbit 100,000 kilometers above the surface of a planet. Suppose m ZABC = 90°, and the planet is 20,000 kilometers in diameter. Draw a diagram of the situation. How far is moon A from moon C?​

Answers

Answer:

Step-by-step explanation:

Please see diagram attached.

Moon A and C are 100,000km + 10,000 = 110,000km from center of planet.

So they are 110,000 + 110,000 = 220,000km apart.

Answer:

Step-by-step explanation:

AC is 220000km according to the drawing:

3x + 2 y = 4
What is the answer

Answers

Answer:

You want to look for x? If yes then:

[tex]x=\frac{4}{3}-\frac{2y}{3}[/tex]

And this is for y

[tex]y=2-\frac{3x}{2}[/tex]

CAN SOMEONE PLEASE HELP ME PLEASE

Answers

Answer:

Should be <ABC = 25

degrees

Step-by-step explanation:

100 + 55 = 155

180 (Interior Angles of a Triangle Rule) - 155 = 25

what is the measurement of angle 1?
what is the measurement of angle 2?
30, 35, 60, 65, 80, 85​

Answers

Answer:

Angle 1: 35

angle 2: 30

Step-by-step explanation:

GUYSSS PLS HELP ME IM GONNA FAIL FRR

Answers

Answer:

x = 11

Step-by-step explanation:

180 - (82+50)

180 - 132

48

5x-7 = 48

5x = 55

x = 11

En un salón de clase, el número de mujeres equivale al 80% del total de sus asistentes, si se retiran el 20% de dichas mujeres ¿Qué porcentaje del resto son hombres?

Answers

Answer:

This is an english server

for brainiest:):):):):):):)

Answers

Answer:

1: 55

2: 128

3: 175

Step-by-step explanation:

I believe that this is correct.

Write an inequality that represents this situation below. Be sure to define your variable in words.

The high school softball team needs to buy T-shirts for their games. The T-shirts cost $8 a piece and they only have $100 to spend.

Answers

Answer:

8s ≤ 100

Step-by-step explanation:

s = # shirts you can buy

Can someone please help me!!!

Answers

Answer: x=20

Step-by-step explanation:

If im wrong, sorry

The angles of a triangle add up to 180 degrees.

(3x+5)+(2x+17)+(2x+18)=180

add the ones alike

3x + 2x + 2x=7x

5+17+18=40

so, 7x+40=180

we need to get the variable by itself so we take away 40 first by subtracting it from both sides of the equal sign

7x=140

we take away 7 from x by dividing it- opposite of multiplication is division

x=20

Answer:

x = 20

Step-by-step explanation:

3x+5° + 2x+18° + 2x+17° = 180° (sum of interior angles in a triangle is 180°)

collect like terms

3x + 2x + 2x + 5° + 18° + 17° = 180°

7x + 40° = 180°

solving for x

x = (180 - 40)/7

x = 140/7

x = 20

A farmer is going to plant more than 50 acres in corn this year.

If a represents the number of acres planted in corn, write an inequality to describe all possible values of a.


a>50A is greater than 50

a<50a<50

a≥50A is greater than or equal to 50

a≤50

Answers

Answer:

+ 1) is an even number.

Take any n ∈ N, then n is either even or odd.

• Suppose n is even ⇒ n = 2m for some m ⇒ n(n + 1) = 2m(n + 1) ⇒ n(n + 1) is even.

• Suppose n is odd ⇒ n+ 1 is even ⇒ n+ 1 = 2m for some m ⇒ n(n+ 1) = 2nm ⇒ n(n+ 1)

is even. QED

2. The sum of the first n natural num

Step-by-step explanation:

a>50A is greater than 50

a<50a<50

a≥50A is greater than or equal to 50

a≤50

Answer:

A. a > 50

Step-by-step explanation:

If a is the number of acres, and the farmer is going to plant more than 50 acres, then the correct inequality is:

a > 50

PLEASEE HELP!! what is the perimeter of x?? HURRYYYY

Answers

x is equal to 26 —————————-

A jar contains 40 marbles. 12 are green, 14 are blue and the rest are red. What is the probability of picking a green marble?

Answers

Answer:

12 out of 40 or in simplist terms 3/10

On wednesday 72% of the customers who bought gas at a gas station mad additional purchases. There were 250 customers who bought gas. how many of these 250 customers made additional purchases?

Answers

Answer:
180

Explanation:
72% of 250 equals
0.72 x 250

Hope this helps!

PLS HELPPPP!! ITS DUE TODAY!!!! ASAP!!! AHHH. No links

Answers

Answer:

x=18, 96-24=72, x+3x=72, 4x=72, x=18

Step-by-step explanation:

A trapezoid with a height of 8 ft base measuring 11 ft has an area of 112ft find the length of the other base

Answers

Answer:

1.27272727273 I think

Step-by-step explanation:

Sophie has 7 cookies she wants to share equally with ten friends at her party. Part A If she separates all of the cookies and gives each friend an equal amount, how much cookie will each friend receive? Part B If Sophie wanted to give each friend 1 1/2 cookies, how many more cookies would she need?

Answers

Answer:

Each friend gets 0.7 cookie

8 cookies

Step-by-step explanation:

A.

Number of cookies = 7

Number of friends = 10

how much cookie will each friend receive?

Number of cookie each friend get = number of cookies / number of friends

= 7/10

= 0.7 cookie

Each friend gets 0.7 cookie

B.

If each friend 1 1/2 cookies

how many more cookies would she need?

Total number of cookies needed = 1 1/2 × 10

= 3/2 × 10

= 30/2

= 15 cookies

She already has 7 cookies

Number of cookies needed more = 15 cookies - 7 cookies

= 8 cookies

A smaller triangle is four times smaller than a larger triangle. If the smaller triangle has a measurement of 27.1 mm for its longest side. What is the measurement of the longest side of the larger triangle?
A. 107.2 mm
B. 107.4 mm
C. 108.2 mm
D. 108.4 mm

Answers

Answer:

D. 108.4 mm

Step-by-step explanation:

Since the larger triangle is 4 times of the small triangle...

27.1 x 4 = 108.4 mm

5 yd
4 yd
6 yd
4 yd
9 yd

Answers

Answer:

thats nice??

Step-by-step explanation:

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