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

simplify each expression.

Answers

Answer:

1. a²⁴

2. b¹⁵ / c²⁰

3. 8x³ / 27y⁶

4. 16m¹⁰n²²

Step-by-step explanation:

Hope This Helps :)

Plz Mark Brainliest!!

identify the common difference (d) /6,1,8,15

Answers

(6) -5 = (1 ) +7 =(8) + 7= (15)

10 is 6% of what number

Answers

Answer:

166.67

Step-by-step explanation:

We have, 6% × x = 10 or, 6/100 × x = 10

Multiplying both sides by 100 and dividing both sides by 6,

we have x = 10 × 100/6

x = 166.67

If you are using a calculator, simply enter 10 × 100 ÷ 6, which will give you the answer.

Hope this helps

Subject:Mathematics ​

Answers

9 boys had a pulse over 81

Answer:

9 ppl

Step-by-step explanation:

hope this helped!!

Anna went to the store to buy a new dress. The dress she chose was 30% off the original price. What was the original price of the dress that was marked down dollars 13.95?

Answers

Answer:

$46.5

Step-by-step explanation:

Let X be the original price.

0.3X=13.95, X=13.95/0.3, X=46.5.

Answer:

18.135

Step-by-step explanation:

13.95×30/100=4.185

13.95+4.185=18.135

2x + 3x + 8 - 3x - 2

Answers

5x+14
You will collect the like terms

A sports shop has 60 employees. 35% of the employees work part-time. How many part-time employees does the sports shop have?

Answers

Answer:

I think it is 21 employees

Step-by-step explanation:

hope I’m right :)

i really really need your help asap due today

Answers

Answer:

25

Step-by-step explanation:

The answer is 25
Vvvv

Please help me with this

Answers

Given:

The equation is:

[tex]3^x\times 9=3^{2n-1}[/tex]

To find:

The value of n in terms of x.

Solution:

We have,

[tex]3^x\times 9=3^{2n-1}[/tex]

It can be written as

[tex]3^x\times 3^2=3^{2n-1}[/tex]

[tex]3^{x+2}=3^{2n-1}[/tex]                [tex][\because a^ma^n=a^{m+n}][/tex]

On comparing the exponents, we get

[tex]x+2=2n-1[/tex]

Add 1 on both sides.

[tex]x+2+1=2n-1+1[/tex]

[tex]x+3=2n[/tex]

Divide both sides by 2.

[tex]\dfrac{x+3}{2}=n[/tex]

Therefore, the value of n is terms of x is [tex]n=\dfrac{x+3}{2}[/tex].

The Mount Rushmore Monument is 60 feet tall. A model of the monument is sold in the gift shop. If the model was made using a scale of 1 inch = 40 inches, how tall is the model?

Answers

Answer:huh

Step-by-step explanation:huh

The model is 28800 inches tall if the Mount Rushmore Monument is 60 feet tall. A model of the monument is sold in the gift shop.

What is a scale factor?

The ratio among comparable dimensions of an object and a model with that object is known as an exponent in algebra. The replica will be larger if the scale factor is a whole number. The duplicate will be lowered if the step size is a fraction.

It is given that:

The Mount Rushmore Monument is 60 feet tall. A model of the monument is sold in the gift shop.

As we know, unit conversion can be defined as the conversion from one quantity unit to another quantity unit followed by the process of division, and multiplication by a conversion factor.

1 feet = 12 inches

60 feet = 60x12 = 720 inches

The scale f 1 inch = 40 inches

720 inches after scale:

= 720x40

= 28800 inches

Thus, the model is 28800 inches tall if the Mount Rushmore Monument is 60 feet tall. A model of the monument is sold in the gift shop.

Learn more about the scale factor here:

brainly.com/question/22312172

#SPJ2

WILL MARK BRAINLIEST

Enter the values for the following composite transformation.

Translate
units left and _____ units down, then rotate _____°.

Answers

Answer:

down 6,right 4, rotate 180 degrees assuming we are starting from the blue heart.

Step-by-step explanation:

help pls asap!!!!!!! brainliest!!!!!!

Answers

Answer:

D!

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

-2p^2 - 35pr - 8r^2

AC = 12 in the image shown. Is BC tangent to circle A?
Α)
No, because 62 +92 = 122
B
Yes, because 62 +92 = 122.
No, because 62 +92 = 122
D)
Yes, because 62 +92 = 122

Answers

A) No, because 62 + 9 = 122

which of the following statements is true n=m n=4m

Answers

Answer:

This statement is true.

Answer:

insufficient info

Step-by-step explanation:

as I see it neither there isn't enough info to find a answer

If a shirt is on sale for $9 because it was 75% off, then what was the original price of the shirt?​

Answers

Answer:

24$

Step-by-step explanation:

9 / 75% (or .75 it doesn't matter which one) = 12

12 + 12 = 24$

hope this helps...

Find the value of the lettered angles in each of the following ( see image ).

Please show workings.

The only given angles are 60° , 10° , 40°​

Answers

Answer:

Step-by-step explanation:

s + 40 + 60 = 180 {angle sum property}

s + 100        = 180

               s = 180 - 100

               s = 80

This figure is a cyclic quadrilateral. sum of opposite angles are 180

s + v + 60 + 10 = 180

80 + v + 60 + 10 = 180

             v + 150  = 180

                       v = 180 - 150

                      v = 30

y+ 10 + v  = 180 {angle sum property}

    y + 10 + 30 = 180

             y + 40 = 180

                   y = 180 - 40

                  y = 140

       

9514 1404 393

Answer:

  r = 80°, s = 80°, t = 10°, u = 60°, v = 30°

Step-by-step explanation:

Working clockwise from the left side, we can name the points on the circle as A, B, C, D. The given inscribed angles are half the measure of the arcs they intercept, so we have ...

  arc BD = 2×40° = 80°

  arc DA = 2×60° = 120°

  arc CD = 2×10° = 20°

From these measures, we can deduce the measures of the individual arcs as ...

  arc AB = 360° -BD -DA = 360° -80° -120° = 160°

  arc BC = BD -CD = 80° -20° = 60°

Then the angle measures of interest are ...

  r = AB/2 = 80°

  s = AB/2 = 80°

  t = CD/2 = 10°

  u = DA/2 = 60°

  v = BC/2 = 30°

Please help with these 3 questions about simplifying square roots...

Answers

Answer:

#2:

To get rid of a radical we multiply the radical by itself, so we multiply [tex]\frac{3}{\sqrt{2}} by \frac{\sqrt{2}}{\sqrt{2}}[/tex]

to get [tex]\frac{3\sqrt{2}}{2}[/tex].

#3:

[tex]\sqrt\frac{2}{5}[/tex] is the same as [tex]\frac{\sqrt{2}}{\sqrt{5}}[/tex] so we multiply by [tex]\frac{\sqrt{5}}{\sqrt{5}}[/tex] so we get [tex]\frac{\sqrt{10}}{5}[/tex].

#4:

We combine like terms to get  [tex]-2\sqrt{2} + 4\sqrt{3}[/tex]

Hope this helps!

i need the find the area of a rectangle. the length is 6.5x + 5ft and the width is 15 ft

Answers

Answer:

Area= l+b) ×2

6.5x+5ft +5ft

13x+20ft

For this cylinder the radius r = 6.8 inches and the height L = 14.2 inches. Which is the BEST estimate for the surface area?

Answers

Answer:

923 in^2

Step-by-step explanation:

I took the test

Rewrite the following without an exponent.
(8/5) -1

Answers

Answer:

5/8.

Step-by-step explanation:

a^-1 = 1/a

So here we have:

(8/5)^-1

= 1/ (8/5)= 5/8.

6 1/2 divided by 3 2/3

Answers

1 1/2 !!! here you go

Answer:

39/22 = 1 17/22

Step-by-step explanation:

Attached below :

I hope im right!!

determine the measure of each angle. 4x - 90= ? Degree

Answers

The Answer is -360 or 22

Answer:

4x - 90= 90

Explain:

Simplifying

(4x + -90) = 90

Reorder the terms:

(-90 + 4x) = 90

Remove parenthesis around (-90 + 4x)

-90 + 4x = 90

Solving

-90 + 4x = 90

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '90' to each side of the equation.

-90 + 90 + 4x = 90 + 90

Combine like terms: -90 + 90 = 0

0 + 4x = 90 + 90

4x = 90 + 90

Combine like terms: 90 + 90 = 180

4x = 180

Divide each side by '4'.

x = 45

Simplifying

x = 45

solve for x.
(9x+23)
x=​

Answers

Answer:

Step-by-step explanation:

9x2+23x

I need this answer in like 10 minutes

Answers

Answer:20

Step-by-step explanation:

20 is the answer to the question or sum

PLZ HELP!!!!!!!!!!!!!

Answers

Answer:

Move the decimal point 3 times to the left.

Step-by-step explanation:

Helpppppppppppppppp plzzzz

Answers

Answer:

1. a) x b)1

2. a)x^3 b) 3

3. a) 3x^7 b) 7

Step-by-step explanation:

PLSSS FASTT

Find the value of X ?
Choose 1 answer:

Or
D) X=8

Answers

It’s A x= 9

hope this helps :)

Which value of x results in equal outputs for

j(x) = 3x − 2
and b(x) = |x + 2|

Answers

Answer:

Step-by-step explanation:

J(x)=b(x)

3x-2=|x+2|

3x-2=±(x+2)

when 3x-2=x+2

3x-x=2+2

2x=4

x=4/2=2

when 3x-2=-(x+2)

3x-2=-x-2

4x=-2+2=0

x=0

it is rejected as 0-2≠|0+2|

or -2=2

so x=2

Yellowstone Middle School has 928 students. Teresa surveys a random sample of 24
students and finds that 6 are taking art. How many students at the school are likely to be
taking art?

Answers

Answer:

232 Students are Taking Art

Step-by-step explanation:

First, you multiply 6 times 928, which you should get 5,568. Then, divide that by 24, getting 232. I hope this helps :)

I think it’s 232 sorry if I’m wrong

Find what x is giving brainly.

Answers

The total of all angles of a heptagon is 900.
Therefore
x+125+119+117+145+133+140 = 900
x+779 =900
x= 900-779
x =121 degrees
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