Solve the equation for all real solutions.

X^2 + 11z +9 = 5z

Someone help plz ):

Answers

Answer 1

Answer:

[tex]z = -3[/tex]

Step-by-step explanation:

Given

[tex]z^2 +11z+9 = 5z[/tex] --- the correct equation

Required

Solve

Equate to 0

[tex]z^2 +11z-5z+9 = 0[/tex]

[tex]z^2 +6z+9 = 0[/tex]

Expand

[tex]z^2 +3z+3z+9 = 0[/tex]

Factorize

[tex]z(z +3)+3(z+3) = 0[/tex]

Factor out z + 3

[tex](z +3)(z+3) = 0[/tex]

Split

[tex]z + 3 =0[/tex] --- twice

[tex]z = -3[/tex]


Related Questions

Write the number 0.000 378 21 in standard form.

help please

Answers

Answer:

3.7821 (SDF)

Step-by-step explanation:

Take the number by 378 21 and place it in the right forms/place marks. Such as ones and tens place ect. Then there is your answer.

I need more help with 21 questions

Answers

Answer:

45

Step-by-step explanation:

9 ÷ 1/5

9 × 5/1

9 × 5

45

45 that's the correct answer lol

Only answer if you're very good at Math.

Given f(x) = x + 1 and g(x) = x^2, what is
( g o f) (x)?

A: ( g o f) (x) = x^2 + 1

B: ( g o f) (x) = ( x + 1)^2

C: ( g o f) (x) = x^2 + x + 1

D: ( g o f) (x) = x^2 ( x + 1)​

Answers

Answer:

The answer is B: ( g o f) (x) = ( x + 1)^2

Explanation:

⟹ (g ∘ f) (x) = g [f (x)]

Replace x in g(x) = x^2 with x+1

= ( x + 1 ) ^2

Consider the dataset below and respond to the questions that follow: Advertisement ($'000) Sales ($'000) 1068 4489 1026 5611 767 3290 885 4113 1156 4883 1146 5425 892 4414 938 5506 769 3346 677 3673 1184 6542 1009 5088 Construct a scatter plot with this data. Do you observe a relationship between both variables

Answers

Answer:

The scatter plot is attached in the image

There exists a positive linear relationship between the two variables i.e sales and advertisements.

Step-by-step explanation:

The scatter plot is attached in the image

There exists a positive linear relationship between the two variables i.e sales and advertisements.

A card deck for a board game has 20 cards, of which 4 are red, 6 are blue, and 10 are purple.

What is the probability of randomly selecting a blue card, then a purple card, without replacement?

Answers

Answer:

6/20 or in simplification, 3/10 would be the correct answer.

30% would also be correct :)

And 0.3

The total cost (in dollars) for a company to manufacture and sell x items per week is C=40x+180, whereas the revenue brought in by selling all x items is R=68x−0.4x2. How many items must be sold to obtain a weekly profit of $300?

Answers

Answer:

The company needs to sell either 30 or 40 items.

Step-by-step explanation:

We are given that the cost for selling x items given by the function:

[tex]C(x)=40x+180[/tex]

And the revenue for selling x items is given by:

[tex]R(x)=68x-0.4x^2[/tex]

The profit function is the cost function subtracted from the revenue function:

[tex]P(x)=R(x)-C(x)[/tex]

Substitute and simplify:

[tex]\displaystyle \begin{aligned} P(x)&=(68x-0.4x^2)-(40x+180)\\&=68x-0.4x^2-40x-180\\&=-0.4x^2+28x-180\end{aligned}[/tex]

To find how many items must be sold in order to obtain a weekly profit of $300, we can let P equal 300 and solve for x. So:

[tex]300=-0.4x^2+28x-180[/tex]

Solve for x. Subtract 300 from both sides:

[tex]-0.4x^2+28x-480=0[/tex]

We can divide both sides by -0.4:

[tex]x^2-70x+1200=0[/tex]

Factor:

[tex](x-40)(x-30)=0[/tex]

Zero Product Property:

[tex]x-40=0\text{ or } x-30=0[/tex]

Solve for each case:

[tex]x=40\text{ or } x=30[/tex]

So, in order to obtain a weekly profit of $300, the company need to sell either 30 or 40 items.

210
What is the arc length when
=
and the radius is 6 cm?

Answers

Answer:

ans : option 2nd

Step-by-step explanation:

total angle substand perimeter of circle so,

so solve by using unitary methods

Someone help me please!!!

Answers

Answer:

Domain: 2<x<7

Range: 1<y<2

Step-by-step explanation:

Range is the y value but domain is the x value

Mark me Brainliest if this works! Thanks!

( 2, 1 ) and ( 7, 2)

Domain - 2 and 7

Range - 1 and 2

I hope you understand...

Mark me as brainliest...

Which one of these equations match the graph?

Answers

Answer:

C   y = 2sin(1/3) x

Step-by-step explanation:

It's a sin function since y = 0 at x = 0

The amplitude is 2

There are 2 cycles in 12π

so the period is 6π

The x coefficent is then 2π/6π  = 1/3

Answer

C   y = 2sin(1/3) x

5х – 4 y = -10
3х + 2y = 16

Answers

Answer:

x= 2, y= 5

Step-by-step explanation:

5x -4y= -10 -----(1)

3x +2y= 16 -----(2)

(2) ×2:

6x +4y= 32 -----(3)

(1) +(3):

5x -4y +6x +4y= -10 +32

11x= 22

x= 22 ÷11 (÷11 on both sides)

x= 2

Substitute x= 2 into (2):

3(2) +2y= 16

6 +2y= 16

2y= 16 -6

2y= 10

y= 10 ÷2

y= 5

How is 10+10 the same as 11+11?

Answers

The answers are overall different. But there are similarities. Both equations have an addition sign. Both also have double digit numbers being added together.

Answer:

I only remember the funny thing my dad told me

A man bought a car for $8200 and sold it for 80% of the price two years later. How much did he lose?

Answers

Answer:

I don't know for sure, but I'm pretty sure its 1,640.

Step-by-step explanation:

80% of 8,200 is 6560, and then do 8,200- 6,560, you get 1,640.

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

According to question, The price at which it was sold is equal to :

[tex]80 \% \: \: of \: \: 8200[/tex]

[tex] \dfrac{80}{100} \times 8200[/tex]

[tex]80 \times 82[/tex]

[tex]6560[/tex]

The car was sold at $ 6560

Now, loss is equal to :

[tex]8200 - 6560[/tex]

[tex] \$ \: 1640[/tex]

An angle measuring 60 degrees is measured as 62 degrees. What is the percentage error correct to 3 significant figures?
35.5%
3.33%
3.23%
37.2%

Answers

Answer: 3.33% (choice B)

===================================================

Work Shown:

A = true value = 60

B = estimated or measured value = 62

C = percent error

C = ( |A-B|/A ) * 100%

C = ( |60-62|/60 ) * 100%

C = (2/60)*100%

C = 0.0333*100%

C = 3.33%

The result is approximate.

(a[tex]x^{2} x^{2} 3[/tex]

Answers

Answer:

[tex]3a {x}^{4} [/tex]

Step-by-step explanation:

remeber that idical laws

[tex] {x}^{a} \times {x}^{b} = {x}^{a + b} [/tex]

Determine the value of x

Answers

Answer:

the answer is "C" because I did it on Khan academy

The value of x in the triangle is 17.51

Option C is the correct answer.

We have,

From the figure,

We can use the tangent function.

This means,

Tan = perpendicular / Base

i.e

tan 35 = x / 25

0.700 = x / 25

x = 0.700 x 25

x = 17.5

Thus,

The value of x in the triangle is 17.51.

Learn more about trigonometric identities here:

https://brainly.com/question/14746686

#SPJ6

URGENT PLEASE ANSWER


Three friends, Cleopatra, Dalila, and ebony fo shopping. The money they have each is in the ratio

Cleopatra : Dalila : Ebony =
5 : 7 : 8

A) How many dollars do they have in total?

B) Dalila spends 12$ on a hat, how many dollars does she have left?

Answers

Answer:

A)$60

B)$9

Step-by-step explanation:

THIS IS THE COMPLETE QUESTION BELOW

Three friends, Cleopatra, Dalila, and ebony fo shopping. The money they have each is in the ratio

Cleopatra : Dalila : Ebony =

5 : 7 : 8

Cleopatra has $15.

A) How many dollars do they have in total?

B) Dalila spends 12$ on a hat, how many dollars does she have left?

A)

Total ratio=(5 +7 +8)= 20

Cleopatra has $15.

Let X = total money

Ratio of Cleopatra= 5/20 ×X=15

5X /20 = 15

5X= (15×20)

X= $60

They have $60 in total

B) ratio of Dalila= 7/20 × 60 = $21

But 12$ was spent by Dalila on a hat

Then Dalila will have ($21 - 12$) Left

= $9

Here are the population figures of five different cities. 371,265 635,155 226,710 468,920 724,435 What is the difference between the largest population and the smallest population?

Answers

Answer:

497,725

just subtract smallest from largest to get the difference

724,435 - 226,710

Answer:

largest population 724,435Smallest population 226,710

Some help with this pleaseee!

Answers

Answer:

g(x) = |x| + 7

Step-by-step explanation:

Adding the constant +7 on the end of the equation means a translation 7 units up.

2,6,10,14 cuales son los siguientes tres términos

Answers

Answer:

Step-by-step explanation:

2, 6, 10, 14

Entonces, como puede ver, el patrón en la secuencia se suma por 4 como (+4)

(So, as you see that the pattern in the sequence is added by 4 )

2

2+4=6

6+4=10

10+4=14

Entonces, los próximos tres términos serán (Then, the next three terms will be)

14+4=18

18+4=22

22+4=26

This is the last one thank u !

Answers

Answer and Step-by-step explanation:

The answer is that A'C' will be 1.5 times longer than AC.

This is because you are dilating the figure by a scale of 1.5.

#teamtrese #PAW (Plant and Water)

The answer is that A'C' will be 1.5 times longer than AC.

This is because you are dilating the figure by a scale of 1.5

By : Bryan gou

(2104ft)(1 yd/3 ft)(1 football field/100 yds

Answers

9514 1404 393

Answer:

  7 1/75 football fields

Step-by-step explanation:

Multiply it out. The units of feet and yards cancel, leaving football fields.

  = (2104·1·1)/(3·100) football fields ≈ 7.0133... football fields

  = 7 1/75 football fields

PLS HELP ASAP! FIND THE AREA OF THIS FIGURE, THANK YOU!

Answers

Answer:

A = [12 + 9(pi)] yd^2 = 40.3 yd^2

Step-by-step explanation:

A = area of triangle + area of semicircle

A = bh/2 + (pi)r^2

A = (6 yd)(4 yd)/2 + (pi)(3 yd)^2

A = 12 yd^2 + 9(pi) yd^2

A = [12 + 9(pi)] yd^2 = 40.3 yd^2

Consider a process that includes careful testing of each manufactured defibrillator. Listed ( below are the numbers of defective defibrillators in 20 successive batches of 10,000. Find the values you would use for the centerline, the upper control limit, and the lower control limit.
20 14 22 27 12 12 18 23 25 19 24 28 21 25 17 19 17 22 15 20
a. p = 0.040000
UCL 0.041 039, LCL = 0.03 8961
b. p 0.002000
UCL= 0.003340, LCL= 0.000660
c. p=0.0020000
UCL = 0, 021200, LCL = 0
d. p 0.040000
UCL = 0.041470, LCL = 0.038530

Answers

Your correct answer is C.

School is almost over pls help

Answers

Answer:

3. pollution

4. the land becomes fertile

Find the value of x.
1680
x = [? ]°

Answers

The value of x is 84 degrees.

What is tangent to a circle?

The tangent line to a circle  at a given point is the straight line that just touches the circle at the point.

A tangent to a circle is perpendicular to the radius at the point of tangency.

According to the question

we have to find the value of x.

Let us assume that a circle have a center at O. And Mark the end of the given chord P and Q.

Connect OP and OQ.

here,

OP = OQ

⇒∠OQP = ∠QPO

Now in triangle POQ, we have

⇒∠QOP + 2∠ OPQ = 180

⇒168 +2∠OPQ =180

⇒2∠OPQ = 12

∠OPQ =6 degrees.

As we know that, tangent to a circle is perpendicular to the radius at the point of tangency.

⇒ x + ∠QOP = 90

⇒ x + 6 = 90

x = 90-6 = 84 degrees.

Hence, value of x is 84 degrees.

Learn more about the tangent to the angle here:

https://brainly.com/question/23265136

#SPJ2

Rounding in the calculation of monthly interest rates is discouraged. Such rounding can lead to answers different from those presented here. For long-term loans, the differences may be pronounced.

Assume that you take out a $3000 loan for 30 months at 8.5% APR. What is the monthly payment? (Round your answer to the nearest cent.)

Answers

Answer:

111.35

Step-by-step explanation:

effective rate: .085/12= .00708333333333

[tex]3000=x\frac{1-(1+.00708333333333)^{-30}}{.00708333333333}\\x=111.35[/tex]

PLEASE HELP ASAP PLSSSSS!!!

Answers

Answer:

143 degrees

Step-by-step explanation:

First find angle ACB which is 180-83=97

Then angle ABC which is 180-134=46

Then angle CAB (97+46)-180=37

Finally angle HAB 180-37=143

the answer is 143 degrees

solve the system of equations by graphing
3x+y=7
x+2y=4​

Answers

9514 1404 393

Answer:

  (x, y) = (2, 1)

Step-by-step explanation:

The graph of these equations is attached. The solution is ...

  (x, y) = (2, 1)

What is the sum of the polynomials?
(6x+7+x2)+(2x2-3)

-x^2 +6x+4, 3x^2 +6x+4, 9x+4, 9x^2 +4

Answers

9514 1404 393

Answer:

  (b) 3x^2 +6x+4

Step-by-step explanation:

  (6x+7+x^2)+(2x^2-3)

  = (1 +2)x^2 +(6)x +(7 -3) . . . . combine like terms

  = 3x^2 +6x +4

Answer:

3x ² + 6x + 4

Step-by-step explanation:

( 6x + 7 + x² ) + ( 2x² -3 )

Remove unnecessary parantheses

6x + 7 + x² + ( 2 x² - 3 )

6 x + 7 + x² + 2x ² - 3

subtract the numbers

6 x + 7 - 4 + x² + 2x²

collect like terms

6x + 4 + 3x²

use the commutative property to reorder the terms

3x ² + 6x + 4

A vase is shaped like a rectangular prism with a square base of length 11 cm. It has 2 litres of water poured into it. To what height (to 1 decimal place) does the water reach in the vase?

Answers

Answer:

x=16.53cm

Step-by-step explanation:

1 liter = 1000 cm^3

The volume of water in the rectangular prism will be 11*11*x = 2000

121x=2000

x=2000/121

x=16.53cm

The answer is 16.53 goodluck!
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