9x2 - 52x + 33 = -10x - 16

Quadratic Equation

Answers

Answer 1

Answer:

x=7/3 or x=2.33

Step-by-step explanation:

9x^2 - 52x + 33 = -10x - 16

Okay, lets Start by converting this into standard form, which is: ax^2 + bx + c = 0.

Add 10x+16 on both sides of the equation, and simplifying.

9x^2 - 52x + 33 + 10x + 16  = -10x - 16 + 10x + 16

9x^2 - 42x + 49 = 0

Guess What! This equation is a Perfect Square Trinomial.

For a Perfect Square Trinomial, you will be able to take the square root of the first  and third terms, and the coefficient of the second term will be twice the square root of the  third term. The “sign” of your second term in your answer will be the same as the linear term sign.

So this is (3x*3x) + (3x * -7 * 2) + (7 * 7) = 0

So, we can rewrite this as (3x - 7)^2=0

Now, To solve, We can set each factor equal to 0, and solve.

*Since we have a Perfect Square Trinomial, You will get one solution, or value, for x.*

Add 7 on both sides.

3x - 7 = 0

     +7  +7

----------------

3x=7

Divide by 3 on both sides.

3x/3 = 7/3

x=7/3

As a decimal: 2.33...

Hope I helped, Brainliest would be appreciated :)

Have a fantastic day!

             -Aadi x


Related Questions

hey guy pls help me with this asap
ans also explain your answer

Answers

Answer:

721 hours

Step-by-step explanation:

Skills needed: Multiplication, Logical Reasoning

1) First, we need to gather information:

--> November has 30 days

--> There are 24 hours in each day

2) This means that there are:

[tex]24 * 30[/tex]  = 720 days in November without counting daylight savings.

3) With daylight savings:

--> We add one extra hour, since we go one hour back. So that day, 1:59 would go back to 1:00, with an extra hour.  So we add one to the total. [tex]720 + 1 = 721[/tex] is your answer

Hope this helps and have a nice day! :) :}

How do you know that 4 is the biggest whole number that divides both 36 and 80?

Answers

Answer:

you divide 4 by those numbers then you keep going higher

Step-by-step explanation:

What is 1/8 x 5/6 x 4/5 you will need paper.

Answers

Answer:

This would equal [tex]\frac{1}{12}[/tex]

Step-by-step explanation:

We do this by just multiplying straight across

Numerators go first

[tex]1*5*4[/tex]

This equals 20

Now the denominators

This would be done by

[tex]8*6*5[/tex]

This equals 240

now all together this is

[tex]\frac{20}{240}[/tex]

Simplify

[tex]\frac{1}{12}[/tex]

Find the common ratio of the geometric sequence -14, -84, -504,

Answers

Answer:

0.166667 - Common Ratio

step by step

Formula Used: Common Ratio=First term/Consecutive Term

Calculation: 0.166667=(-14)/(-84)

how do i find the missing length indicated

Answers

Answer:

The Pythagorean theorem states that a2 + b2 = c2 in a right triangle where c is the longest side. You can use this equation to figure out the length of one side if you have the lengths of the other two. The figure shows two right triangles that are each missing one side's measure.

Step-by-step explanation:

#HOPE IT HELPS#CARRY ON LEARNING#CAN I GET BRAINLIESTS ANSWER?

Study the following:

13 = 1 + 35 + 7 = 1 + 3 + 57 + 9 + 11 = 1 + 3 + 5 + 79 + 11 + 13 + 15

A student wrote:

1 + 3 + 5 + ... + 365367 + 369 + ... + □

What value must replace the square for this fraction to equal 13 ?

Explain how you obtained the answer.

Answers

Answer:

The square is 731

Step-by-step explanation:

Let me try...13 , 1 + 35 + 7, 1 + 3 + 57 + 9 + 11 , 1 + 3 + 5 + 79 + 11 + 13 + 15 ...(1)

grab the main number in each sequence: 13,35,57,79,911,1113....

There is another arithmetic sequence: 1, 3, 5, 7, 9, 11 ....

a₁ = 1    aₙ = 2n - 1

365367 : 2n - 1 = 365       2n = 366      n = 183  ... 365367 is in the place 183 of the series sequence

Now let's check the number follow the underlined number in (1)

0 number follow 13, 1 number follow 35, 2 number follow 57, 3 follow 79 ....

0, 1, 2, 3, 4........ until n=183 should have 182 numbers followed 365367

Now this last sequence start with 369 (a₁) with a difference of 2 from term to term

a₁₈₂ = 2n + 367 = 2 x 182 + 367 = 731

Solve for x. Please help

Answers

Answer:

D

Step-by-step explanation:

math and way

Answer:

32.86 degrees.

Step-by-step explanation:

cos x = adjacent side / hypotenuse

= 21/25

= 0.85

x = arcos 0.84

= 32.86 degrees.

What is the value of 5.5 + (-2.75) - 7(18 : -3)?

Answers

Answer:

44.75

Step-by-step explanation:

5.5 + (- 2.75) - 7(18 ÷ - 3)

5.5 - 2.75 - 7(- 6)

5.5 - 2.75 + 42

2.75 + 42

44.75

Leanna opens a savings account with an initial balance of $100. She then deposits $50 each month. Write an equation to explain the relationship between the amount of money in the account, a, and the number of months since Leanna opened the account, m.


HELP ME

Answers

Answer:

7

Step-by-step explanation:

450-100=350

350/50=7

7 months

A city pool has 3 wading pools. Each pool is in the shape of a parallelogram with a
base of 4.2 meters and a height of 3.2 meters. What is the total area of the splash
pads?
40.32 m2
O
13.44 m2
O m
10.4 m2

Answers

Answer:

i think it's 13.44

Step-by-step explanation:

im not really sure, but let me know if im wright pls!!

hope this helped!!

In the 7th grade, 165 students ride the bus to school. If there are 250 students in 7th grade, what percent rides the bus? Please explain too

Answers

Answer:

66 Percent of students rides the bus to school, which is approx 1/3 lol

Step-by-step explanation:

Have a nice day

PLLLSSSSS ANSWER THIS 40 POINTS
A classmate walks into class and states that he has an extra ticket to a classical music concert on Friday night. He asks everyone in the class to put their name on a piece of paper and put it in a basket. He plans to draw from the basket to choose the person who will attend the concert with him. If there are 32 other people in class that night, what is your chance of being chosen to attend the concert? Round your answer to four decimal places, if necessary.

Answers

0.03125 beciase there are 32 people and one ticket make that as a fraction which is 1/32 and make it a decimal

Solve the system of equations -3x+7y=-18 and 4x-4y=8 by combining the equations​

Answers

Step-by-step explanation:

-3x+7y = -18 ...1

4x-4y = 8 ...2

...1 × 4

-12x + 28y = -72 ...3

...2 × 3

12x - 12y = 24 ...4

...3 + ...4

28y - 12y = -72 + 24

16y = -48

y = -3

Replace y = -3 in ...2

4x - 4(-3) = 8

4x + 12 = 8

4x = 8 - 12

4x = -4

x = -1

Answer:

[tex]\huge\boxed{\boxed{(x,y)=(-1,-3)}}[/tex]

Step-by-step explanation:

multiply first equation by 4 and second by 3 respectively:

[tex] \begin{cases} \displaystyle - 12x + 28y = - 72 \\ \: \: \displaystyle \: 12x - 12y = 24 \end{cases}[/tex]

combine the equations:

[tex] \underline{ \begin{cases} \displaystyle - 12x + 28y = - 72 \\ \: \: \displaystyle \: 12x - 12y = 24 \end{cases}} \\ \displaystyle16y = - 48[/tex]

divide both sides by -48:

[tex] \displaystyle \: \frac{16y}{16} = \frac{ - 48}{16} \\ y = - 3[/tex]

substitute the value of y to the second equation

[tex] \displaystyle \: 4x - 4. - 3 = 8[/tex]

simplify multiplication:

[tex] \displaystyle \: 4x + 12 = 8[/tex]

cancel 12 from both sides:

[tex] \displaystyle \: 4x = - 4[/tex]

divide both sides by 4

[tex] \displaystyle \: \frac{4x}{4} = \frac{ - 4}{4} \\ x = - 1[/tex]

therefore our solution is

[tex]\displaystyle (x,y)=(-1,-3)[/tex]

HURRY DUE AT 12
joseph stated the solution to the following linear equations is (4,-2) and Omari stated the solution is no solution because the lines are parallel. Determine who’s correct:

Who is correct for the linear equation below ?
3x+2y=8 AND -5x-2y=-12

A. Joseph
B.Omari
C. Neither Joseph or Omari
D. They are both correct

Answers

A I think it is Joseph. Joseph is correct

Sophia pays a $19.99 membership fee for an online music store. If Sophia purchases n songs for $0.99 each, write an expression for the total cost.

Part B
If she buys two songs from a new album, what is the total cost?

Answers

Answer:

19.99+n0.99

B:

19.99+0.99+0.99=

21.97

hope this all helps!!!

cat face x+4/5=45 sa il aflu pe x

Answers

Given:

The equation is

[tex]x+\dfrac{4}{5}=45[/tex]

To find:

The value of x.

Solution:

We have,

[tex]x+\dfrac{4}{5}=45[/tex]

Isolating the variable, we get

[tex]x=45-\dfrac{4}{5}[/tex]

[tex]x=\dfrac{225-4}{5}[/tex]

[tex]x=\dfrac{221}{5}[/tex]

[tex]x=44.2[/tex]

Therefore, the value of x is 44.2.

what’s the answers because this is stressing me?? plz help

Answers

Answer:

You have to know the order or which side is the con-sin etc

Step-by-step explanation:

angle a is 67,38

bbvcffjjbsbs

1.
Consider the system of equations.
y = - 4x + 7
y=-x+2
What is the solution to the system of equations?
A (1,3/2)
B (1,3)
c (3/2,1)
D (3,0)

Answers

Answer:

I got B

Step-by-step explanation

Multiply 42 by the sum of 4 and r. I need help on number 10 please.

Answers

Answer:

42(4 + r) is the answer if I'm reading that correctly.

If the scale factor is 1:5 and OG = 45, find AR.

Answers

1/5=.2
.2*45=AR
AR=9

Please solve this! K/4 + 22 1/4 <_ 30 1/2 Could somebody help me solve this? FAST AND QUICK TO PLEASE!! ILL GIVE BRAINLIST!!!

Answers

The answer is k less than it equal to 33. This is assuming my understanding of the problem is correct.

HELP. DUE AT 11:59!!!!! PLEASE

Answers

A. 4 minutes
B. 1,000 feet

D. Taras line is steeper which means she walks at a slower rate

Xyx Motors pays Nick $1,567.46 in dividends every year. If the dividend on one share of Xyx Motors is $4.33, how many shares does Nick own?
a.
383
b.
457
c.
362
d.
276

Answers

Answer:

C. 362

Step-by-step explanation:

If you divide 1567.46 by 4.33, you get 362.

Answer:

c

Step-by-step explanation:

from the point p(-2,4) if PQ is drawn perpendicular to line 7x-24y+10=0,find the eqaution of the lin PQ . also determine the length of PQ

Answers

Answer:

7y+24x = -12

Step-by-step explanation:

Equation of line PQ in point slope form is expressed as;

y -y0 = m(x-x0)

m is the slope of {Q

(x0, y0) is the point on the line

Given the line 7x-24y+10=0

Get the slope

-24y = -7x -10

y = -7/-24 x - 10/-24

y = 7/24 x + 5/12

Slope = 7/24

Slope of the line PQ perpendicular to it = -24/7

Substitute m = -24/7 and (-2, 4) into the formula;

y - 4 = -24/7(x+2)

7(y-4) = -24(x+2)

7y - 28 = -24x-48

7y + 24x = -40 + 28

7y+24x = -12

This gives the equation of the line PQ

50 POINT QUESTIONS WILL MARK BRAINIEST IF YOU ANSWER ALL OF THEM. QUIZ DUE IN 10 MINUTES PLEASE ANSWER!!!!

Answers

Answer:

Pljjsjshshjsjshsbsbsbbshs

How many solutions can be found for the equation −4x − 11 = 2(x − 3x) + 13?

None
One
Two
Infinitely many

Answers

The answer is No solution

Answer:

none

Step-by-step explanation:

                                     

A cylinder has diameter of 6 cm and a volume of 36 pi cm 3 . Find it's height and radius in centimeters

Answers

Answer:

Radius is 3

Height is 4

Step-by-step explanation:

First you'll have to find the radius

6/2=3

Then, use the formula Base (PI*radius squared)* height

To find the base, you'll have to use the radius, 3, times it by itself, 3, and get 9.

3*3=9

Then, multiply 9 by 3.14, first three digits of pi, and get 28.26

9*3.14=28.26

28.26=base

Now, you'll have to find the height

Since you know what the volume is 36 pi 3

36*3.14=113.04 <--volume without pi

Then, divide 113.04 (volume) by 28.26 (base) and get 4 (height)

113.04/28.26=4

That's why the radius is 3 and the height is 4

Answer:

r=3

h=4

Step-by-step explanation:



The box and whisker plot represents the number of telemarketing calls received by households last month. Which statements are

correct?

A)

The mean of the data is 49.

B)

The median of the data is 49.

The least number of calls is 35.

D)

The third quartile is represented by 42.

E)

The mean cannot be determined by the box and whisker plot.

Answers

Given:

Consider the below figure attached with this question.

To find:

The correct statements about the given box and whisker plot.

Solution:

In a box plot, the left end of the box is first quartile and the right end of the box is third quartile. The line inside the box represents the median.

Left end point represents the minimum value and the right end point represents the maximum value.

From the given box plot, it is clear that

Minimum value = 35

First quartile = 42

Median = 49

Third quartile = 54

Maximum value = 57

The median of the data is 49. The least number of calls is 35. So, options B and C are correct.

The third quartile is represented by 54. So, option D is incorrect.

The mean cannot be determined by the box and whisker plot. So, option E is correct and option A is incorrect.

Therefore, the correct options are B, C and E.

I need help ASAP if you put a link can you make sure I can open it please.

Answers

Answer:

x<5

Step-by-step explanation:

233.09+49.14+29.13=311.36

600-311.36=288.64

x<288.64

   288.64/52.48=5.5

We'll round to the lesser number since we can't assume greater

x<5


[tex]3(6 + 7) [/tex]

Answers

Answer:

39

Step-by-step explanation:

3(6+7)

=18+21

=39

or

3(6+7)

=3(13)

=39

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