Amelie found the solutions of the equation x^2-x=42 to be 6 and -7. Explain why this answer is incorrect. Then, find the correct solutions.

Answers

Answer 1

Answer:

see below

Step-by-step explanation:

x^2-x=42

Check the solutions

6^2 -6 = 42

36-6 =42

30=42

This is not true so 6 is not a solution

Let's find the solutions

Subtract 42 from each side

x^2-x-42=0

Factor

(x-7)(x+6) =0

Using the zero product property

x-7 =0   x+6=0

x=7   x=-6


Related Questions

An article reports that men over 6 feet tall earn more than men under 6 feet, with these numbers: average 6 foot plus male’s salary $55,000, average male’s salary under 6 foot tall of $47,000, with a p-value of 0.45. Based on that reported p-value, and using the common definition of "statistical significance," which is the case?
a. With that p value, the results are not significant.
b. The salary differences are statistically significant.
c. The salary differences are not statistically significant.
d. With that p value, the differences are very close but not statistically significant.

Answers

Answer:

A

Step-by-step explanation:

The salary differences are found to be statistically significant.

What is Statistical Significance?

Statistical significance refers to the claim that a result from data generated by testing or experimentation is not likely to occur randomly or by chance but is instead likely to be attributable to a specific cause.

It is given that

Average 6 foot plus male’s salary = $55,000

Average male’s salary under 6 foot tall = $47,000

p-value = 0.45

As the p-value 0.45 is greater than p-value 0.05,

So statement men over 6 feet tall earn more than men under 6 feet is acceptable, we can say that salary differences are statistically significant.

Therefore, The salary differences are found to be statistically significant.

To get more about statistical significance visit:

https://brainly.com/question/15848236

Evaluate:
[tex] log_{\sqrt{3} }(729) \\ [/tex]
Give answer please..

Answers

[tex] \large\underline{\sf{Solution-}}[/tex]

Given Logarithmic expression is

[tex]\rm \longmapsto\: log_{ \sqrt{3} }(729) [/tex]

Let first factorize 729

[tex]\begin{gathered}\begin{gathered}\begin{gathered} \:\: \begin{array}{c|c} {\underline{\sf{3}}}&{\underline{\sf{\:\:729 \:\:}}}\\ {\underline{\sf{3}}}& \underline{\sf{\:\:243 \:\:}} \\\underline{\sf{3}}&\underline{\sf{\:\:81\:\:}} \\ {\underline{\sf{3}}}& \underline{\sf{\:\:27 \:\:}} \\ {\underline{\sf{3}}}& \underline{\sf{\:\:9\:\:}}\\\underline{\sf{}}&{\sf{\:\:3 \:\:}} \end{array}\end{gathered}\end{gathered}\end{gathered}[/tex]

So,

[tex] \purple{\rm \longmapsto\:729 = 3 \times 3 \times 3 \times 3 \times 3 \times 3}[/tex]

[tex] \purple{\rm \longmapsto\:729 = {3}^{6} }[/tex]

[tex] \purple{\rm \longmapsto\:729 = {( [{ \sqrt{3} ]}^{2}) }^{6} }[/tex]

[tex] \purple{\rm \longmapsto\:729 = {( \sqrt{3} )}^{12}}[/tex]

So,

[tex]\rm \longmapsto\: log_{ \sqrt{3} }(729) [/tex]

can be rewritten as

[tex]\rm \:  =  \: log_{ \sqrt{3} }( {( \sqrt{3}) }^{12} ) [/tex]

We know,

[tex] \purple{\rm \longmapsto\:\boxed{\tt{ log_{a}( {a}^{x} ) \: = \: x \: }}}[/tex]

So, using this identity, we get

[tex]\rm \:  =  \: 12[/tex]

Hence,

[tex] \green{\rm\implies \:\boxed{\tt{ \: \: log_{ \sqrt{3} }(729) \: = \: 12 \: \: }}}[/tex]

I’m not sure but
1.66992439152

A family of 2 adults and 3 children goes to a play . admission costs $8per adults and $5 per child. what expression would show the total admission cost for the family

Answers

Answer:

8 + 8 + 16 5 * 3 is 15 16 + 15 is 31 that is the answer to the question

Which of the following is a characteristic of a deferred payment plan? (2 points)
There is an introductory period where no interest is accrued.
The item purchased is used as collateral until the balance is paid in full.
A down payment is always required.
A certain number of payments must be made before the product is owned.

Answers

A characteristic of a deferred payment plan is that the item purchased is used as collateral until the balance is paid in full.

A deferred payment plan is a form of credit purchase, a way to pay for an item in arrears. The payment is usually divided into several installments, which are distributed over a certain period of time. Interest and fees are often added, which in the end makes the purchase considerably more expensive than if you had paid in cash.

Thus, through this payment system, the asset is delivered to the buyer before the payment is completed, thereby constituting the asset itself as an enforceable guarantee of payment compliance.

Learn more in https://brainly.com/question/2130499

The cost C (in millions of dollars) for the federal government to seize p% of an illegal drug as it enters the country is given by
C=528*p/100-p, 0≤p<100

A)Find the costs of seizing 25%, 50% and 75% for the drug.
B) According to the model, would it be possible to seize 100% of the drug? Explain.

Answers

Answer:

b for me hehe ok

Step-by-step explanation:

Explanation

easy one - giving brainly!
CREATE 5 TOTAL. YOU CAN USE DECIMALS.​

Answers

Answer:

2:4

3:6

4:8

Step-by-step explanation:

When converting from inches to feet, the measurement in inches, m, of an object varies directly with its measurement in feet, f, with the constant of variation being 12.

What is the equation relating these two quantities?



How many inches would a 3.5-foot object measure?


inches

How many feet would a 27-inch object measure?

Answers

Step-by-step explanation:

wow, how complicated can one phrase this ...

the point being :

1 ft = 12 in and vice versa (1 in = 1/12 ft)

so, any measurements given in feet but needed in inches need to be multiplied by 12.

and any measurements given in inches but needed in feet need to be divided by 12.

so,

3.5 ft = 3.5×12 = 7/2 × 12 = 7×6 = 42 in

27 in = 27/12 = 9/4 = 2 1/4 or 2.25 ft

Answer:When converting from inches to feet, the measurement in inches, m, of an object varies directly with its measurement in feet, f, with the constant of variation being 12.

What is the equation relating these two quantities?

✔ m = 12f

How many inches would a 3.5-foot object measure?

✔ 42

inches

How many feet would a 27-inch object measure?

✔ 2.25

feet

Step-by-step explanation:

Write an equivalent expression for 6(3g + 2) - 2g. Simplify the expression.

Answers

Answer:

16g + 12

Step-by-step explanation:

6(3g + 2) - 2g

18g + 12 - 2g

16g + 12

what is the unit rate for miles per gallon if you travel 588 miles on 28 gallons of fuel

Answers

Answer: im pretty sure its 21 mi per gal

Step-by-step explanation:

The answer should be 21

Can someone help in this math question?

Answers

Answer:

3168 cubic feet OR 3168ft^3

Step-by-step explanation:

22×18×8=3168ft^3

50 pts
A cube has a volume of 73 cubic centimeters. What is its surface area in
square centimeters?
Just type the number of the answer.

Answers

The cylinders surface area is 104.8 cm

A box is pulled to the right with a force of 65 N at an angle of 58 degrees to the horizontal. The surface is frictionless. The free body diagram is shown.

A free body diagram with 3 force vectors. The first vector is pointing north, labeled F Subscript N Baseline, the second vector is pointing south labeled F Subscript g Baseline = 30 N, and the third pointing 58 degrees north of east labeled F Subscript g Baseline = 65 N.
What is the net force in the x-direction?

30 N
34 N
55 N
65 N

Answers

Answer:

34 N.

Step-by-step explanation:

Net force in x direction = 65 cos 58

= 34 N.

Answer:

34N is the answer :)

Step-by-step explanation:

y is inversely proportional to the squre of X.given that Y=2 when X=6, find the calue of y when x=2

Answers

Answer:

y = 2/9

Step-by-step explanation:

y=x²

y=kx²

2= k(6)²

2= 36k

k= 1/18

The connecting formula is

y= 1/18x²

when y=? , x=2

therefore,

y= 1/18x²

y= 1/18(2)²

y= 1/18(4)

y= 2/9

Answer:

y = 18 when x = 2

Step-by-step explanation:

y ∝ x^2

y = k/x^2

Substituting 'y=2' and 'x=6' to get the value of k:

2 = k/6^2

2 = k/36

k = 36*2

= 72

Hence,

y = 72/x^2

Substituting 'x=2' to get the y-value:

y = 72/2^2

= 72/4

= 18

Hence,

when x =2, y = 18

Hope this helps and be sure to have a wonderful time ahead at Brainly! :D

what is the sum of the first 30 even numbers i added them all up and got 300 but lots of people are getting diffrent answers some how?

Answers

the horses name was friday

Solve for x: x-10= -12

Answers

Answer:

x = -2

Step-by-step explanation:

Add 10 to both sides of the equation

x−10=−12

−10+10=−12+10

Simplify

Solution:

x= -2

C-12=-4show me step by step

Answers

Answer:

C = 8

Step-by-step explanation:

Rearrange the equation to make C the subject.

C - 12 = -4

Add 12 to both sides.

C - 12 + 12 = -4 + 12

C = -4 + 12

C = 8

Check it:

C = 8

So substitute the new found value into the original equation:

C - 12 = -4

8 - 12 = -4

-4 = -4

All good.

Answer:

C = 8

Hope this helps!

Step-by-step explanation:

C - 12 = -4

C - 12 + 12 = -4 + 12    ( Add both sides by 12 )

C = 8      ( Simplify )

the simple interest on $700 for 2 years at 10% is ?​

Answers

Answer:

140

Step-by-step explanation:

∫P=700

∫T=2

∫R=10% after a few calculating you get 140.....the answer is right just sorry for my bad explaining

Find the perimeter of the triangle.

Answers

Answer:

P

=

a

+

b

+

c

Step-by-step explanation:

HEY I RLLLLLLY NEED HELP! 50 POINTS AND BRAINLIEST IS YOU'RE RIGHT!!!!

If
f(x) = 2x + 1
and
g(x) = x - 3

g(f(x)) = 2x + ????

I will report if you answer just for points. I'd love help please :P

Answers

Answer:

g(f(x)) = 2x - 2

Step-by-step explanation:

Given:

f(x) = 2x + 1

and

g(x) = x - 3

Find g(f(x)), substitute the value of f(x) into equation:

g(f(x)) = g(2x + 1) = (2x + 1) - 3 = 2x - 2


15. You take a trip to downtown Boston to walk the Freedom Trail with your family. After you walk
through the Bunker Hill Memorial, your family decided to take a taxi to a restaurant for dinner. After 1
mile, the meter on the taxi says $475. It will cost $6.50 to go 2 miles. The cost varies linearly with the
distance that you have traveled (In other words, there is a constant rate of change).

Answers

The constant rate of change is $1.75 :)

This is because when the x value equals 1 the y value equals 4.75. And when the x value equals 2 the y value equals 6.50, so the rate of change is between the 2 y values which is linear so it has a constant rate of change of $1.75.

write an inequality whose solutions are represented by the shaded part of the graph​

Answers

Answer:

x > 3

Step-by-step explanation:

A car travels the first 50km of its journey at an average speed of 25m/s and the next 120km at an average speed of 80km /h . The car completes the last part of its journey at an average speed of 90Km/h in 35 minutes . Find the average speed for its entire journey , giving your answer in km/h
Step by step

Answers

Answer:

What do you need me to do

Step-by-step explanation:

what is the equation of the line that is perpendicular to y = −2x + 5 through the point (-4, -5)

Answers

Step-by-step explanation:

m1=-2

m1m2=-1

-2m2=-1

m2=1/2

y+5/x+4=1/2

so 2y+10=x+4

2y-x=-6

Answer:

[tex]y=\frac{1}{2}x-3[/tex]

Step-by-step explanation:

Hi there!

We are given the equation y=-2x+5 and we want to find the equation of the line that is perpendicular to that line, and pass through the point (-4, -5)

Perpendicular lines have slopes that multiply to get -1.

So to find the slope of the perpendicular line: use the formula [tex]m_1*m_2=-1[/tex], where [tex]m_1=-2[/tex]

Substitute:

-2m=-1

Divide both sides by -2

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

Here's the equation of the line so far, as we know it, written in slope-intercept form (y=mx+b, where m is the slope and b is the y intercept):

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

We need to find b.

Because we know the line passes through the point (-4, -5), we can use it to help solve for b.

Substitute -4 as x and -5 as y

[tex]-5=\frac{1}{2}(-4)+b[/tex]

Multiply:

-5=-2+b

Add 2 to both sides

-3=b

Substitute -3 as b:

y=[tex]\frac{1}{2}x-3[/tex]

Hope this helps!

Is this equation in standard form?
3xy+ y2=4

Answers

Answer:

standard form is {Ax+By=c}

as mentioned above the given equation is not in {Ax+By=c}..

hence it's not in standard form

Answer:

ax+by=c so no

Step-by-step explanation:

Can someone pls help me

Answers

Answer: help what?????

Step-by-step explanation:

a basket holds n apples. U-Pick 2n-3+ apples, and your friend picks n+4 apples. How many apples do you and your friend pick all together? How many baskets do you need to carry all the apples? Justify your answer.

Answers

Answer:

3n+1

Step-by-step explanation:

2n-3+n+4=3n+1

...............

What is the value of z?

Answers

yes but i’m and carter are doing

the area of the floor of a cubical room is 49m .find the area of 4 walls of a room.​

Answers

Answer: [tex]196m^2[/tex]

Step-by-step explanation:

since it's a cube the floor is in square shape

area of one wall = [tex]a^2[/tex] area of 4 walls = = [tex]4[/tex]×[tex]49[/tex] = [tex]196[/tex]

Answer:

SINCE ITS A CUBE OF FLOOR SHAPE.

area of 1 wall=a²

=4

area of 4 wall=4x49

=169m²Ans.

Maha keeps chickens. She estimates that the weight of one chicken egg is 75 g. Is this a reasonable estimate? Give a reason for your answer.

Answers

yes, it’s around 50-70g

Step-by-step explanation:

Yes this is not reasonable estimate because we count dozens of eggs not its mass

Please Help!
Which ordered pair is a solution of the equation?
y=8x+3y=8x+3y, equals, 8, x, plus, 3
Choose 1 answer:
Choose 1 answer:

(Choice A)
A
Only (1,11)(1,11)left parenthesis, 1, comma, 11, right parenthesis

(Choice B)
B
Only (-1,-5)(−1,−5)left parenthesis, minus, 1, comma, minus, 5, right parenthesis

(Choice C)
C
Both (1,11)(1,11)left parenthesis, 1, comma, 11, right parenthesis and (-1,-5)(−1,−5)left parenthesis, minus, 1, comma, minus, 5, right parenthesis

(Choice D)
D
Neither

Answers

Answer:

C) Both (1 , 11) and (-1, -5)

Step-by-step explanation:

y = 8x + 3

Plugin x = 1  and y = 11 in the equation

11 = 8*1 + 3

11 = 8 +3

11 = 11

So, (1 , 11)  is a solution.

Plugin x = -1  and y =-5 ,

-5 = 8*(-1) + 3

-5 = -8 + 3

-5 = -5

So, (-1 , -5) is also a solution

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