what two steps are necessary to put this equation into standard form? x^2-3x+27=8x-3

Answers

Answer 1
place all numbers in the first part of the equation by turning it into this form :
x^2 - 3x + 27 - 8x + 3 = 0
Then add all the alike member :
x^2 - 11x + 30 = 0
Answer 2

Answer:Add 3 to both sides and subtract 8x from both sides.Step-by-step explanation:The standard form of a quadratic equation isHere a should not be zero.Now, we have to write the given equation in this formwe have to take 8x and -3 to the left side of the equation in order to write the equation in standard form.Therefore, we have to subtract 8x and add 3 to both sides of the equation.When we do this operation, we'll get the equation in standard form which is given byHence, option is correct.Add 3 to both sides and subtract 8x from both sides.


Related Questions

Swaty plz help me
Help

Answers

Answer:

# 1: 1/3 of the time.

# 2: 1/15

Step-by-step explanation:

#1: This is because since the dice is being tossed 1 time, that would mean that there is only a 2 in 6 chance to roll a number under 3.

#2: look at the picture attached.

6
There are 6 classes going on a field trip. There are 24 students in each class.
There is another class going with 27 students.
6 equal classes
27
Which equation helps to find s, the number of students in all of the classes
going on the field trip?
А
5 = (24 x 6) x 27
B
S = 27 x 7
с
S = (24 x 7) + 27
D
S = (24 x 6) + 27

Answers

It would be S=(24x6)+27

⚠️ Mhanifa, can you help me, please? This is due asap and I will mark brainliest :)

The image is attached. Thanks! (There are two questions.)

Answers

Answer:

The domain is the set of x-values:

x = [-4, 4]

The range is the set of y-values:

y = [-1, 2]

RT and UW are parallel lines
Which angles are corresponding angles?

Answers

Answer:

<uvx and <rxv is your amswer

3. Identifique a seguir qual é a sequência
composta pelos sucessores dos 5 pri-
meiros números naturais pares.
a) 0, 1, 2, 3, 4
b) 1, 2, 3, 4, 5
c) 0, 2, 4, 6, 8
d) 3, 5, 7, 9, 13
e) 1, 3, 5, 7, 9​

Answers

Answer:

a resposta serta e a letra c)0,2,4,6,8

What is the radius of a circle that has a diameter of 34
inches?

Answers

Answer:

17 !!!!!!!!!!!!!!!!!!!!

Step-by-step explanation:

34 ÷ 2

Answer:

r=17 in

Step-by-step explanation:

Using the formula

d=2r

Solving for r

r=d/ 2=34/ 2=17in

Hope this helped!!!

Helppppp pleaseeeeeeee

Answers

Answer:

74 cm squared

Step-by-step explanation:

because each triangle will be 7, and each rectangle will be 20. (7*2)+(3*20)=74

74 cm

The explanation is:

If i already have the area of a circle which is: 197.2. how do i find the radius, diameter, and the circumference? please help me

Answers

Answer:

how you find it id dive the radius by the undercore of the problem

Step-by-step explanation:

I WILL GIVE BRAINLIEST TO THE RIGHT ANSWER
CONFERENCES You are sitting down at a round table with 7 chairs for a business meeting. You notice that one of the chairs is shorter than the rest. If 7 people sit down at random, what is the probability that you will end up with the short chair?

A.1/42

B.1/42

C.1/6

D.1/7

Answers

D 1/7 because only one chair is sort. Out of 7 only one person will have the short chair. 1/7 is the answer. trust me

It takes 16 one-inch cubes to completely cover the bottom of a cereal box without leaving any gaps or overlapping any cubes. The picture below represents one layer of 16 cubes covering the bottom of the cereal box. 8 in. 2 in. 12 in. It takes a total of 12 layers of 16 cubes to fill the entire cereal box. What is the volume, in cubic inches, of the cereal box? 0 22 cubic inches 32 cubic inches 0 141 cubic inches 192 cubic inches​

Answers

Answer:

192

Step-by-step explanation:

We know that it will take 12 layers of 16 one-inch ice cubes to fill the cereal box.

The ice cubes are 1inch by 1inch.

So we take the height * length * width

                          12         2           8

=192            

What is 34 x 45 - 14x (5235+-42) / 24x

Answers

Answer:

3(2040x-4039)/4x

Step-by-step explanation:

Flip a fair coin 6 times. Let X be the number of heads in the rst 4 ips, and Y be the number of heads on the last 4 ips. Find Cov(X; Y ).

Answers

Answer:

Cov ( X, Y ) = 1/2

Step-by-step explanation:

X = Number of heads in the first 4 flips

Y = Number of heads in the last 4 flips

Given that X and Y are binomial variables hence

P( probability ) = 1/2

Find Cov( X; Y )

xi = result of the ith flip ∴ X = x1 + x2 + x3 + x4

yj = result of the  jth flip ∴ Y = y3 + y4 + y5 + y6

covariance of  xi and yi = 1/2 * 1/2 = 1/4   when i = j  and it is = 0 when i ≠ j

hence Cov( X; Y ) can be expressed as

Cov( X; Y ) = ∑[tex]_{i}[/tex]^4 ∑[tex]_{j}[/tex]^6 ∴ Cov( Xi , Yj ) = 2/4 = 1/2  (  given that i = j )  

Jessica records the number of winners at a Dunga teacher booth at the town fair as shown in the table if there is 750 contestants on Monday how many should Jessica expect to a Dunka teacher

Answers

Monday = np = 750 × 0.1204 = 90.3 = 90 winners.

Solve the system of linear equations by substitution.
x-2y=6
3x-5y=11

Answers

Answer:

x = -8, y = -7

Step-by-step explanation:

=> x = 6 + 2y

substitute x = 6 + 2y into the equation 3x - 5y = 11 to solve for y:

=> 3(6 + 2y) - 5y = 11

=> 18 + 6y -5y = 11

=> y = -7

substitute y = -7 into the equation x - 2y = 6 to solve for x:

=> x - 2(-7) = 6

=> x +14 = 6

=> x = -8

Find the sum: 26,807 + 58,095 = ______.

Answers

Answer:

84902

Step-by-step explanation:

Help
See the picture

Answers

Answer:

114°

Step-by-step explanation:

The measure of the central angle is going to be the same as the arc, so the answer to this is 114°.

114°

explanation: because the person above me said it lollll

which is a true statement about the two rectangular prisms shown below​

Answers

Answer:

When adding up the side lengths given, you get 35

Please assist me with this two column proof. Part 1A

Answers

Answer:

Answer is in the step by step explanation

Step-by-step explanation:

Since we are given parallel lines, we know <BCA is congruent to <DAC because of alternate interior angles

Then AC is congruent to AC, that's reflexive prop

Now we have SAS, so Tri. ABC cong to tri. CDA,

Then you're done

Answer:

Step-by-step explanation:

BC = AD                           Given

<BCA = <CAD                  Alternate interior angles of parallel lines cut by a transversal.

AC = AC                           That's the reflexive property. A line is equal to itself

Triangle BCA = Triangle CAD    SAS

Notice that the angle is included inside the two lines that define it (the angle). That's a very important consideration when using SAS. SAA doesn't always work. You can draw exceptions. SAS has no exceptions. It always works.

An expression is given.

16

14
÷
2
+
(
3
+
2
)
2

What is the value of the expression?

Answers

Answer:

19

Step-by-step explanation

Answer:

19

Step-by-step explanation:

16-14÷2+(3+2)2

16-14÷2+5×2

16-7+5×2

16-7+10

16+10-7

26-7

19

Calculate the Volume
Pls help

Answers

Answer:

420

Step-by-step explanation:

Multiply length, times width, times height to get your answer.

7 times 12 times 5=420

Evaluate the expression when y =7 and x = 9
X + 4y

Answers

37 is the answer
Plug in the x and y values
9 + 4(7)
9 + 28
37

How can you construct a unique triangle.
A= the length of three sides
B=the length of two of the sides and the angle between them
C=the size of two angles and one of the sides
D=the length of two sides an angle not between the.

Answers

B. The length of 2 sides and the angles between them.

The admission fee at an amusement park is $3.50 for children and $5.40 for adults. On a certain day, 351 people entered the park, and the admission fees collected totaled $1523. How many children and how many adults were admitted?

Answers

Answer:

Adults=155, children = 196

Step-by-step explanation:

The standard recommendation for automobile oil changes is once every 3000 miles. A local mechanic is interested in determining whether people who drive more expensive cars are more likely to follow the recommendation. Independent random samples of 49 customers who drive luxury cars and 38 customers who drive compact lower-price cars were selected. The average distance driven between oil changes was 3178 miles for the luxury car owners and 3200 miles for the compact lower-price cars. The sample standard deviations were 41.80 and 50.60 miles for the luxury and compact groups, respectively. Assume that the population distributions of the distances between oil changes have the same standard deviation for the two populations. Using the 1% significance level, can you conclude that the mean distance between oil changes is less for all luxury cars than that for all compact lower-price cars

Answers

Answer:

We accept H₀  we have not enough evidence to support that the mean distance between oil changes is less for all luxury cars than that for all compact lower-price cars

Step-by-step explanation:

Luxury cars sample:

sample size    n₁  =  49

sample mean   x₁ = 3178

sample standard deviation   s₁  = 41,80

Compact lower-price cars sample

sample size    n₂  = 38

sample mean   x₂  =  3200

sample standard deviation   s₂  =  50,60

Test Hypothesis:

Null Hypothesis                              H₀          x₁  -  x₂  = 0  or  x₁  = x₂

Alternative Hypothesis                 Hₐ           x₁  -  x₂  <  0   or   x₁ < x₂

CI = 99 %  then significance level is  α = 1 %   α = 0,01

Alternative Hypothesis indicates   that we have to develop a one tail-test to the left

z(c)   for α  0,01     is   z(c)  = -2,32

To calculate  z(s)

z(s)  =  [  (  x₁   -   x₂ 9 ] / √ (s₁²)/n₁  +  (s₂)²/n₂

z(s)  =  (  3178  -  3200 ) / √ 35,66 +  67,38

z(s)  =  ( -  22 / 10,15 )

z(s)  =  - 2,17

Comparing   z(s)  and z(c)

z(s) > z(c)         -  2,17  >  - 2,32

Then  z(s) is in the acceptance region we accep H₀

A lab technician is tested for her consistency by making multiple measurements of the cholesterol level in one blood sample. The target precision is a standard deviation of 1.1 mg/dL or less. If 20 measurements are taken and the standard deviation is 1.6 mg/dL, is there enough evidence to support the claim that her standard deviation is greater than the target, at α = 0.01?

Answers

Answer:

We Do not have enough evidence

Step-by-step explanation:

H0 : σ² ≤ 1.1

H0 : σ² > 1.1

The test statistic (X²) :

χ² = [(n - 1) × s²] ÷ σ²

n = sample size, = 20

s² = 1.6

σ² = 1.1

α = 0.01

χ² = (19 * 1.6) / 1.1

χ² = 27.64

Pvalue :

Using the Pvalue from Chisquare score calculator ; χ² = 27.64 ; df = 19

Pvalue = 0.091

If Pvalue < α ; Reject H0

0.091 > 0.01

Hence, Pvalue > α ; Thus we fail to reject H0.

We thus conclude that, we do not have enough evidence to support the claim that her standard deviation is greater than the target.

Ethan earns $41.25 in five hours. Oliver earns $30.00 in four hours. Fabianna's hourly rate is less than Ethan's, but more than Olver's. What is her hourly rate?



$7.35


$8.25



$7.75



$6.50

Answers

Answer:

7.75

Step-by-step explanation:

41.25 divided by 5 is 8.25

30 divided by 4 is 7.5

7.75 > 7.5 but 7.75 < 8.25

I hope this helps!

Maria had $3,500 and invested it into an account with an annual
interest rate of 1.2%. If her investment were compounded monthly,
write an eqaution to find the value of her investment after t years.

Answers

Answer:

FV= $3,716.32

Step-by-step explanation:

Giving the following information:

Initial investment (PV)= $3,500

Interest rate (i)= 1.2% compounded monthly

First, we need to determine the monthly nominal interest rate:

Monthly interest rate= 0.012/12= 0.001

Now, to calculate the future value after 't' months, we need to use the following formula:

FV= PV*(1 + i)^t

For example, for 60 months:

FV= 3,500*(1.001^60)

FV= $3,716.32

44% off of an $88.00 handbag

Answers

Answer:

that would be 58.08

Step-by-step explanation:

brainly please? i need 2 more!

Orla says that x = 5 is a solution of x² + 3x - 10 = 0 and Fiona says that x = -5 is
a solution of x² + 3x -10=0.

One of the answers is correct. Say which answer is correct and justify your answer

Answers

Answer:

Fiona is correct

Step-by-step explanation:

Substitute x = 5 and x = - 5 into the left side of the equation and if equal to the right side then it is a solution of the equation.

x = 5 : 5² + 3(5) - 10 = 25 + 15 - 10 = 30 ≠ 0 ← not a solution

x = - 5 : ( - 5)² + 3(- 5) - 10 = 25 - 15 - 10 = 0 ← correct

Then Fiona is correct with x = - 5 being the solution

Past experience indicates that the time required for high school seniors to complete a standardized test is a normal random variable with a standard deviation of minutes. Test the hypothesis that against the alternative that if a random sample of the test times of high school seniors has a standard deviation . Use a level of significance.

Answers

Complete question :

Past experience indicates that the time required for high school seniors to complete a standardized test is a normal random variable with a mean of 35 minutes. If a random sample of 20 high school seniors took an average of 33.1 minutes to complete this test with a standard deviation of 4.3 minutes, test the hypothesis, at the 0.05 level of significance.

Answer:

We conclude they there is significant evidence to support the claim That time required for high school seniors to complete test is less than 35 minutes.

Step-by-step explanation:

H0 : μ = 35

H1 : μ < 35

Sample size, n = 20

Standard deviation, s = 4.3

xbar = 33.1

Test statistic :

T = (xbar - μ) ÷ (s /√n)

T = (33.1 - 35) ÷ (4.3 /√20)

T = - 1.9 ÷ 0.9615092

T = - 1.976

The Pvalue can be obtained from the test statistic using a Pvalue calculator :

Pvalue at 0.05 ; df = 19 is 0.0314

Since, Pvalue < α ; We reject the Null and conclude that time required for high school candidate to complete test is less than 35 minutes

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