Solve the equation using the Quadratic Formula: (Hint: You may select
more than one answer choice here) *

x2 – 5x + 6 = 0

Answers

Answer 1

Answer:

x = 3,2

Step-by-step explanation:

Solve the equation for x by finding a, b, and c of the quadratic then applying the quadratic formula.

please mark brainly

Answer 2

Answer:

x = [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

First we have to distinguish the whole numbers from the numbers with variables.

2x and 5x are numbers with variables, 6 and 0 are whole numbers.

Then we can seperate them on different sides of the equal sign.

To do this, we have to subtract 6 on the left side and add it to the right side.

Now our equation will be 2x - 5x = -6.

Now we can simplify this.

Starting on the left side, 2x - 5x equals to -3x.

The right side can not be simplified.

So, our equation will now be -3x = -6.

Now we can divide both sides together.

The easiest way to do this is by turning the equation into a fraction.

So it will be [tex]\frac{-3}{-6}[/tex].

Both equal signs cancel out, so the answer will be [tex]\frac{1}{2}[/tex].

Hope this helped :)


Related Questions

calculate 16% of £50

Answers

Do 50 x 0.16 Which is 8. 50-8 =£42.00
10% of £50= £50 divided by 10 = £5
1% of £50= 10% divided by 10 (£5 divided by 10) = 0.5 which is 50p.
50p x 6 = £3
6%=£3 and 10%=£5
£5+£3=£8 so the answer is £8

2. Janice is buying paint to paint her new apartment. The store sells paint in one-gallon cans. How accurate does her estimate
need to be for the amount of paint needed?

Answers

Answer:

its 60-10+x why, because she bought the dress with $60 and she received $10 dollars back. We don't know the variable.

write a^4*a^2 without exponents

Answers

Answer:

a x a x a x a x a x a

Step-by-step explanation:

a^4 x a^2

a x a x a x a times a x a

= a^6 or a x a x a x a x a x a

Axaxaxaxaxaxaxaxaxaxax

I need help with this question please & thank you

Answers

Answer:

Step-by-step explanation:

most probably secant

hope it helps

Find the missing side. Be sure to show all of your work. Round to the nearest tenth
if necessary

Answers

Answer:

x=3.9 approximately

Step-by-step explanation:

Using Pythagorean theorem:

[tex]x^{2} + (5x)^{2} = 20^{2}[/tex]

[tex]x^{2} + 25x^{2} = 400[/tex]

26x^2 =400

x^2 = 15.3846

x=3.9

General Formulas and ConceptsAlgebra I

Equality Properties

Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityGeometry

[Right Triangles Only] Pythagorean Theorem: a² + b² = c²

a is a legb is another legc is the hypotenuse

ApplicationStep 1: Define

Let's define what the problem gives us:

We are given a right triangle, indicated by the square box inside the triangle, with side lengths 5x and x and a hypotenuse of 20.

We can set these measurements equal to our variables defined above in our Pythagorean Theorem equation:

a = 5xb = xc = 20

Step 2: Work

Now, we can substitute our variables and solve for x, which will help us find the side lengths as well:

[Pythagorean Theorem] Substitute in variables:
[tex]\displaystyle\begin{aligned}a^2 + b^2 & = c^2 \\(5x)^2 + x^2 & = 20^2 \\\end{aligned}[/tex][Order of Operations] Simplify:
[tex]\displaystyle\begin{aligned}a^2 + b^2 & = c^2 \\(5x)^2 + x^2 & = 20^2 \\25x^2 + x^2 & = 400 \\\end{aligned}[/tex][Simplify] Combine like terms:
[tex]\displaystyle\begin{aligned}a^2 + b^2 & = c^2 \\(5x)^2 + x^2 & = 20^2 \\25x^2 + x^2 & = 400 \\26x^2 & = 400 \\\end{aligned}[/tex][Equality Properties] Divide both sides by 26:
[tex]\displaystyle\begin{aligned}a^2 + b^2 & = c^2 \\(5x)^2 + x^2 & = 20^2 \\25x^2 + x^2 & = 400 \\26x^2 & = 400 \\x^2 & = \frac{200}{13} \\\end{aligned}[/tex][Equality Properties] Square root both sides:
[tex]\displaystyle\begin{aligned}a^2 + b^2 & = c^2 \\(5x)^2 + x^2 & = 20^2 \\25x^2 + x^2 & = 400 \\26x^2 & = 400 \\x^2 & = \frac{200}{13} \\x & = \sqrt{\frac{200}{13}} \\\end{aligned}[/tex][Simplify] Evaluate:
[tex]\displaystyle\begin{aligned}a^2 + b^2 & = c^2 \\(5x)^2 + x^2 & = 20^2 \\25x^2 + x^2 & = 400 \\26x^2 & = 400 \\x^2 & = \frac{200}{13} \\x & = \sqrt{\frac{200}{13}} \\& = \frac{10 \sqrt{26}}{13}\end{aligned}[/tex][Evaluate] Approximate:
[tex]\displaystyle\begin{aligned}a^2 + b^2 & = c^2 \\(5x)^2 + x^2 & = 20^2 \\25x^2 + x^2 & = 400 \\26x^2 & = 400 \\x^2 & = \frac{200}{13} \\x & = \sqrt{\frac{200}{13}} \\& = \frac{10 \sqrt{26}}{13} \\& \approx \boxed{3.9} \\\end{aligned}[/tex]

∴ our x approximately equals 3.9.

Now we can use our value of x to solve for the missing triangle lengths:

Length of 5x:

Substitute in x:
[tex]\displaystyle\begin{aligned}\text{Side Length} & = 5x \\& = 5(3.9) \\\end{aligned}[/tex]Evaluate:
[tex]\displaystyle\begin{aligned}\text{Side Length} & = 5x \\& = 5(3.9) \\& = \boxed{19.5}\end{aligned}[/tex]

∴ this particular side length has a length of 19.5.

Length of x:

Substitute in x:
[tex]\displaystyle\begin{aligned}\text{Side Length} & = x \\& = \boxed{3.9}\end{aligned}[/tex]

∴ this particular side length has a length of 3.9.

Answer

∴ the side lengths of this particular triangle are 19.5 and 3.9, respective to their variables 5x and x.

___

Learn more about Triangles: https://brainly.com/question/20094559

Learn more about Geometry: https://brainly.com/question/16909531

___

Topic: Geometry

Unit: Triangles

*WORTH 15 POINTS!!!*

please answer this (photo attached - question below)

( the “<“ have _ under them in the real questions sorry if that’s confusing)

PART A:
the domain of the function is _____ < x < ______

PART B:
the range of the function is _____ < f(x) < _____

PART C:
the function decreases from _____ < x < _____

Answers

Answer:

what is this I don't kno!

Please someone help me, i need thier solve please my teacher told me to solve them ​

Answers

Answer:

A. Domain : (-∞, ∞)

B. Function is increasing in the interval (-2, 0) and (2, ∞)

   Decreasing in the interval of (-∞, -2) and (0, 2).

Step-by-step explanation:

A. Given function is, y = |2x - 1|

This function is the transformed form of the parent function, y = |x|

Domain of the parent function is { x | x is a set of real numbers}

Therefore, domain of the transformed function will be the same as the domain of the parent function.

Domain of the function = {x | x is a real number}

B. Given function is f(x) = [tex](x^2-4) ^{\frac{2}{3} }[/tex]

Domain of the function : (-∞, ∞)

Critical points of the function are,

⇒ x = 0, ±2

Now we find the three intervals where we have to check the function to be increasing or decreasing.

(-∞ -2), (-2, 0), (0, 2), (2, ∞)

Derivative of the function f(x),

f'(x) = [tex]\frac{4x}{3(x^2-4)^{\frac{1}{3} } }[/tex]

Here, f'(x) < 0 for (-∞, -2)

f'(x) > 0 for (-2, 0)

f'(x) < 0 for (0, 2)

f'(x) > 0 for (2, ∞)

Therefore, given function is increasing in the interval (-2, 0) and (2, ∞)

And it's decreasing in the interval of (-∞, -2), and (0, 2).

.
The table below shows the fees David
charges for yard work.
David's Yard Work Fees
Hours
2
4
6
Fee ($)
70
140
210
How much money does David charge for
yard work that takes 4.5 hours?

Answers

Find out how much David chargers for one hour.
That is 70÷2 which gives you 35.
Then multiply 4.5 hours by 35
your answer will be $157.5

Given the speeds of each runner below, determine who runs the fastest.
Ron runs 8 feet per second.
Liz runs 104 feet in 7 seconds.
Katie runs 1 mile in 526 seconds.
Emily runs 835 feet in 1 minute.

Answers

Answer:

Liz

Step-by-step explanation:

lets make all speeds ft/1sec

Ron 8ft/1sec

Liz 104ft/7sec : 104/7=

14.8571428571 ft/1 sec

Katie

1 mile = 5280ft

5280ft/526sec

5280/526=

10.0380228137ft/1 sec

Emily,

1 min= 60 sec

835ft/60 sec

835/60=

13.9166666667 ft/sec

now, lets order from least to greatest

R:8ft/1sec, K:10.0380228137ft/1 sec,

E:13.9166666667 ft/sec, L:14.8571428571 ft/1 sec

Liz's speed is fastest

I NEED HELP ASAP:(
Use the commutative or associative property to simplify the expression.
-1/7(9x)

Answers

Answer:

i think it is -9x/7

Step-by-step explanation:

Solve for g
-6g + 3g + 12 > -18
A.g<2
B.g> 2
C.g<10
D.g> 10​

Answers

Answer:

g < 10

Step-by-step explanation:

-6g + 3g + 12 > -18

Combine like terms

-3g +12 > -18

Subtract 12 from each side

-3g+12-12 > -18-12

-3g > -30

Divide each side by -3, remembering to flip the inequality

-3g/-3 < -30/-3

g < 10

There are twice as many students in the cooking club as in the drama club. Suppose there are $a$ students in the drama club and $b$ students who are members of both clubs. Find an expression for the total number of students who are in the cooking club or the drama club but not both. Give your answer in simplest form.

Answers

Answer:

Total Students = 3a - 2b

Step-by-step explanation:

Given

Students in drama club = a

There are twice as many students in cooking club as in drama club;

So, Students in cooking club = 2a

Members of both clubs = b

Required

Expression for total students in cooking or drama club but not both;

To do this, number of students in individual clubs need to be calculated;

Let Students in drama club only  be represented by D and Students in cooking club only be represented by C

So,

D = Students in drama club - Members of both clubs

D = a - b

Similarly,

C = Students in cooking club - Members of both clubs

C = 2a - b

So, total students in cooking or drama club but not both D + C

Total students = a - b + 2a - b

Collect like terms

Total Students = a + 2a - b - b

Total Students = 3a - 2b

Expand the binomial using Pascal's triangle
(3x+5)

Answers

Answer:

Step-by-step explanation:

0.           1

1.          1  1

2.         1  2  1

3.        1  3  3  1

4.       1  4  6  4  1

5.      1  5  10  10  5  1

6.     1  6  15  20  15  6  1

7.    1  7  21  35  35  21  7  1

8.   1  8  28  56  70  56  28  8  1

Which of the following equations is equivalent to the slope formula

Answers

Answer: D

Step-by-step explanation: Notice that if you multiply both sides of the equation of y2 = m (x2 - x1) + y1 by X2 - X1.

This gives you m(X2 - X1) = Y2 - Y1.

Then add Y1 to both sides to get m(X2 - X1) + Y1 = Y2.

This slope would be equivalent to the usual slope formula.

subtract the difference of p and a from 3

Answers

Answer:

see below

Step-by-step explanation:

Translating this into math we get 3 - (p - a).

A survey was taken of a random sampling of residents of New York City and Los Angeles to compare how many of them own a car. A 4-column table with 3 rows. The first column has no label with entries L A residents, N Y C residents, total. The second column is labeled own a car with entries 3,251; 1,478, 4,729. The third column is labeled do not own a car with entries 869; 6,182; 7,051. The fourth column is labeled total with entries 4,120; 7,660; 11,780. Which statement about the two-way frequency table is true? The survey represents quantitative data. There is a greater percentage of LA residents who own a car than NYC residents who do. The total number of people in the poll who own a car is 4,120. More people in the poll own a car than do not own a car.

Answers

Answer:

The correct option is;

There is a greater percentage of LA residents who own a car than NYC residents who do

Step-by-step explanation:

The values are presented as follows;

LA residents who own a car = 3251

NYC residents who own a car = 1478

Total residents who own a car = 4729

LA residents who do not own a car = 869

NYC residents who do not own a car = 6182

Total residents who do not own a car = 7051

Total LA residents sampled = 4120

Total NYC residents sampled = 7660

Total residents of both cities sampled = 11780

Percentage of LA residents who own a car = (3251/4120)×100 = 78.9%

Percentage of NYC residents who own a car = (1478/7660)×100 = 19.3%

The total number of people in the poll who own a car = 4729

Therefore, the correct option is that there is a greater percentage of LA residents who own a car than NYC residents who do.

Answer: B. There is a greater percentage of LA residents who own a car than NYC residents who do.

A colour printer prints 38 pages in 11 minutes. How many pages does it print per minute? round to nearest hundredth.

Answers

Answer:

3.45

Step-by-step explanation:

If the printer can print 38 pages in 11 minutes and we want to find how many it prints per minute, we can divide the number of pages printed by the time it took.

So, divide 38 by 11.

38/11 = 3.454545

Round to nearest hundredth:   3.45

Answer:

3.45 pages per minute

Step-by-step explanation:

Take the number of pages and divide by the number of minutes

38 pages/11 minutes

3.45454545 pages/minute

To the nearest hundredth

3.45 pages per minute

Solve the following system:

y = x + 3
4x + y = 18

Your answer:


(6, 3)

(3, 6)

(−3, 6)

(3, −6)

Answers

Answer:

B (3,6)

Step-by-step explanation:

y = x + 3

then we will use this y to substitute the other y

4x + y = 18

4x + (x +3) = 18

4x + x + 3 = 18

5x = 18 - 3

5x = 15

x = 15/5 = 3

then we can find the value of y

y = x + 3 = 3 + 3 = 6

so the (x,y) is (3,6)


Bob buys eggs and potatoes at a store.
• He pays a total of $25.92.
• He pays $2.57 for the eggs.
• He buys 5 bags of potatoes that each cost the same amount, Which equation can be used to determine the cost, x, of each bag of potatoes?

a. X = (25.92 - 2.57) = 5

b. x = 25.92 = 5 + 2.57

c. X = (25.92 +2.57) = 5

d. x = 25.92 - 5 -2.57

Answers

Answer:

a. X = (25.92 - 2.57) ÷ 5

Step-by-step explanation:

shld be a divide sign instead of a equal sign before 5

Which ordered pair is a solution of this
equation?
9x - y = -7
Click on the correct answer.
(-2,-2)
(2,2)
(-2,-1)
(-1,-2)

Answers

Answer:

(-1,-2)

Step-by-step explanation:

I graphed the equation on the graph below so you can see that (-1,-2) is a solution.

PLEASE SOLVE THE FOLLOWING PROBLEM! IT'S SUPER EASY! |2x−3| =5

Answers

Answer:

We can split this into 2 "cases": 2x - 3 = 5 and 2x - 3 = -5 because you can find the absolute value of negative numbers as well. Solving the two cases we get x = 4, -1.

Answer:

4, -1

Step-by-step explanation:

2x-3=5

x=4

2x-3=-5

x=-1

write the sum using sigma notation 3^2+4^2+5^2+...+10^2

Answers

     [tex]\sum\limits_{i=3}^{10}\big i^2[/tex]

or:

     [tex]\sum\limits_{i=1}^{8}\left(2+i\right)^2[/tex]

or:

    x₁=3, x₂=4, x₃=5, .... x₈=10

    [tex]\sum\limits_{i=1}^{8}\big x_i^2[/tex]

The sigma notation of 3^2+4^2+5^2+...+10^2 is: [tex]\sum\limits^{10}_{n = 3} n^2[/tex]

How to express the sum as a sigma notation?

The sum is given as;

3^2+4^2+5^2+...+10^2

The above means that the sum of the squares of integers from 3 to 10

Using the above statement, the sigma notation is:

[tex]\sum\limits^{10}_{n = 3} n^2[/tex]

Where n represents the current integer

Read more about sigma notation at:

https://brainly.com/question/14322177

NEED ANSWER ASAP. WILL MARK THE BRAINLIEST

Use the function below to find f(2)

f(x)=1/3x4^x

Answers

Answer:32/3

Step-by-step explanation:

1/3(2)4^2

1/3(2)(4^2)

2/3(16)

32/2

Answer:

f(2)=16/3

Step-by-step explanation:

f(2)=1/3 (4^2)

f(2)=1/3(16)

f(2)=16/3

Complete the following proof Given: is the midpoint of , is the midpoint of Prove: =2

Answers

Answer:

Step-by-step explanation:

                        Statements                                    Reasons

1). M is the midpoint of segment AB        1). Given

   B is the midpoint of segment MD      

2). AM = MB and MB = BD                        2). Definition of midpoint

3). MD = MB + BD                                      3). Segment Addition Postulate

4). MD = MB + MB                                     4). Substitution property of of Equality

5). MD = 2MB                                            5). Simplify

Therefore, if M is the midpoint of segment AB, B is the midpoint of MD then MD = 2MB

Graph the equation by plotting three
points. If all three are correct, the line
will appear.
2y = 3x + 11

Answers

Answer:

y=3/2x+11/2

Step-by-step explanation:

divide the whole thing by 2

2y=3x+11 divided by 2 equals

y-3/2x+11/2

then just plug in the 3 points

Y-3/2 time +11/2 that the answer

Which expression is an equivalent expression of 12x + 10 + 4y?

A.
2(6x + 2y + 6)
B.
3(4x + y + 10)
C.
2(6x + 4y + 8)
D.
2(6x + 5 + 2y)

Answers

Answer: D

Step-by-step explanation:

Answer:

2( 6x+5+2y)

Step-by-step explanation:

12x + 10 + 4y

Factor out a 2

2*6x + 2*5 + 2*2y

2( 6x+5+2y)

i need 29 part b and c please help!

Answers

Answer:

$1.50

Step-by-step explanation:

29 part c

3÷2= 1.50

3 is the cost

and 2 is the cups

for 3 drinks it would cost $1.50

x + y = 2
y=-3x2 + 3

Answers

Answer:

x, y = -3/2, -3/2

Step-by-step explanation:

photo math will be your best friend

Answer: y = 2/3 x -2/3

Answer this, please!! Its urgent

Answers

Answer:

Hello dear,

5.102 ×10⁸km

300000000

2.4×10⁵

149600000000m

Hope it will help you

please thank

ANSWER:
1)5.102 x 10^8 km
2)300000000m/s
3)2.4 x10^5
4)149600000000
HOPE IT HELPS,,!
PLEASE MARK BRAINLIEST!!!!

The figure shows a carpeted room. How many square feet of the room is carpeted?

Answers

Answer:

40

Step-by-step explanation:

So split it into two shapes. Two rectangles.

Rectangle 1 = 4 * 5 = 20

Rectangle 2 = 2 * 10 = 20

20 + 20 = 40

Answer:

40 square feet

Step-by-step explanation:

we can cut the carpeted space into 2 parts for easier calculation.

we can do 4 x 5 to find the first part, which equals to 20 square feet.

then, to find the side length of the left over rectangle, you can do 6 - 4, making it the length of the side length, which is 2. then all you must do is multiply 2 by 10, which also equals to 20 square feet.

Just add up both of the calculations(20 +20) then you'll get your answer!

the answer is 40 square feet.

Hope this helps and you understand now!

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