Mathematics High School

Your friend Mel says he has an easier way to solve this problem. Here are the ﬁrst steps in his method.

First, isolate all of the x-terms on the left side. This leaves a constant on the right that isn't equal to 0.

Factor the GCF out of the terms on the left side.

If there's a whole-number factor on the left side, divide both sides by that number. Notice that after you do this, one factor on the left is just x.
Apply Mel's steps to your equation in question 1. (5 points)

The original equation is 2x^2 +6x+4=24 ft.^2

Answers

Answer 1

Simplifying

2x2 + 6x + 4 = 24

Reorder the terms:

4 + 6x + 2x2 = 24

Solving

4 + 6x + 2x2 = 24

Solving for variable 'x'.

Reorder the terms:

4 + -24 + 6x + 2x2 = 24 + -24

Combine like terms: 4 + -24 = -20

-20 + 6x + 2x2 = 24 + -24

Combine like terms: 24 + -24 = 0

-20 + 6x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.

2(-10 + 3x + x2) = 0

Factor a trinomial.

2((-5 + -1x)(2 + -1x)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-5 + -1x)' equal to zero and attempt to solve:

Simplifying

-5 + -1x = 0

Solving

-5 + -1x = 0

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

Add '5' to each side of the equation.

-5 + 5 + -1x = 0 + 5

Combine like terms: -5 + 5 = 0

0 + -1x = 0 + 5

-1x = 0 + 5

Combine like terms: 0 + 5 = 5

-1x = 5

Divide each side by '-1'.

x = -5

Simplifying

x = -5

Answer 2

Answer:

Set the factor '(-5 + -1x)' equal to zero and attempt to solve:

-5 + -1x = 0

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

-5 + 5 + -1x = 0 + 5

Combine like terms: -5 + 5 = 0

0 + -1x = 0 + 5

-1x = 0 + 5

Combine like terms: 0 + 5 = 5

-1x = 5

x = -5

Step-by-step explanation:

Related Questions

If your driving 60miles an hour and you drive for 1hour how far do you travel?

Answers

Answer:

60 miles

Step-by-step explanation:

1 hour=60 miles

To solve this problem, we’ll utilize the “time-speed-distance” relationship which is expressed by the formula d = rt, i.e., distance d is equal to speed r multiplied by time t.

The given information in this problem gives us: the speed of r = 60 mi/hr traveled over a distance of 1 mile. We need to find how much time, t, it took to travel a distance d of 1 mile at a speed r = 60 mi/hr, that is:

d/r = t or

t = d/r

Substituting the known values for d and r into the above equation, we have:

t = 1 mi./(60 mi/hr)

t = (1/60) hr.

t = (1/60) hr. (1)

t = (1/60) hr. (60 min./1 hr.)

t = (1/60)(60/1) min.

t = 1 minute ( or 60 seconds) to travel 1 mile at a speed of 60 miles per hour.

hi help me please

.........

Answers

Answer:

A bee hive

Step-by-step explanation:

Bees work in swarms so they must have swarm intelligence in order to work together

(For the given expression, use the Associative Property of Multiplication to enter an equivalent expression.

(ab)c =

Answers

Answer:

a(bc)

Step-by-step explanation:

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

???? Help please you get 40 points if u help

Answers

Answer:

B) P = 8x + 4

Step-by-step explanation:

Formula:

P= 2( l + w)

P = 2( x + 2 + 3x)

P = 2(4x + 2)

P = 8x + 4

B) P=8x+4
Hop this helped

determining slope and y-intercept
Use the following table to answer questions #15 and #16.

Answers

Answer:

Slope. -2.5

Y-intercept. 15

There are 60 seats on a train. 70% of the seats are empty. How many empty seats are there on the train?

Answers

Answer:

Step-by-step explanation:

60(70/100)

4200/100

42 empty seats

In triangle XYZ right angled at Y. Find the length of the hypotenuse if the length of the other two sides is 1.6 cm and 6.3 cm.

Answers

Answer:

6.5 cm

Step-by-step explanation:

From Pythagoras theorem

C^2= a^2 + b^2

Where a, b are the sides of the triangle

C= hypotenus sides of the triangle

two sides are given as 1.6 cm and 6.3cm respectively.

C^2= 1.6^2 + 6.3^2

C^2= 2.56 + 39.69

C^2 = 42.25

C= √42.25

C=6.5 cm

Hence, the length of the hypotenuse is 6.5 cm

Can someone please check my answer?!

Answers

I think that’s the correct one:)

TRANSLATIONS on the coordinate plane plz help me

Answers

here use this bud figure it it out

[tex]the \: surface \: area \: of \: a \: cube \: is \: 24 \: cm \: fimd \: the \: volume[/tex]

Answers

Answer:

Step-by-step explanation:

24 = 6s^2

4=s^2

2=s

2^3 = 8

Share 39 in the ratio 3:3:7

Answers

Answer:

9 : 9 : 21

Step-by-step explanation:

sum the parts of the ratio, 3 + 3 + 7 = 13 parts

Divide 39 by 13 to find the value of one part of the ratio

39 ÷ 13 = 3 ← value of 1 part of the ratio, then

3 parts = 3 × 3 = 9

7 parts = 7 × 3 = 21

Then 39 in ratio 3 : 3 : 7 = 9 : 9 : 21

Which square root is between 4 and 5?
O 10
O 14
O24
O 32

Answers

Answer:

√24 because it's lies on between of√16 and√25.

The only square root that falls between 4 and 5 is √24.

What is Number system?

A number system is defined as a system of writing to express numbers.

We can estimate the value of each square root and see which one falls between 4 and 5:

The value of √10 is less than 4 because √10 is, 3.16

√14 is less than 4.5 because √14 value is 3.76

√24 is greater than 4.5 because √24 value is 4.89

√32 is greater than 5 because 5 x 5 = 25, and √32 is slightly smaller than 5.

Therefore, the only square root that falls between 4 and 5 is √24.

To learn more on Number system click:

brainly.com/question/22046046

#SPJ7

The image of the point (-2, 2) under a translation is (-3, 5). Find the coordinates of the image of the point (-3, 1) under the same translation.

Answers

Translated up 3 units and left 1 unit

(-3, 1) would become (-4, 4)

Find the area of this circle . Use 3 for pi

Answers

Answer:

588

Step-by-step explanation:

3 x 14 x 14 ( or 14^2) is 588

hope this helped!!

solve for slope y intercept and the equation please

Answers

Answer:

y=x-5 slope=1 y-intercept=-5

Step-by-step explanation:

Kevin and Christy both saved money for their class trip. Kevin saved the same amount each week. The total amount that Kevin saved at the end of every two weeks is shown in the table below.

Answers

Answer:

Step-by-step explanation:

need help dont know which one to chose

Answers

Answer:

the answer to this problem is A

What is b PLSSSS ANSWER
WILL GIVE BRAINLIEST

Answers

Answer: -15 divided by 0.3 is the same as -15/3/10 but to solve we can do -15 times 10/3 witch is -150/3=-50

Step-by-step explanation:

The range is the set of?

Answers

Answer:

I think you forgot to attach the file...

Step-by-step explanation:

Answer:

difference between the lowest and highest values.

8. The table below shows the number of students enrolled at Mapleton High School since 2002. Write
an equation for the line of best fit, then predict the number of students enrolled in 2011.
20022892
2003 3042
2004 | 3087
2005 3136
2006 3296

Answers

The equation for the line of best fit shows the relationship between the number of students enrolled

The equation for the line of best fit, then predict the number of students enrolled in 2011 is [tex]y = 90.2x - 177670.2[/tex]

How to determine the equation of the line of best fit

To do this, we make use of a graphing calculator that has the following calculation summary

Sum of X = 10020Sum of Y = 15453Mean X = 2004Mean Y = 3090.6Sum of squares (SSX) = 10Sum of products (SP) = 902b = 90.2a = -177670.2

A regression equation is represented as:

[tex]y = bx + a[/tex]

So, we have:

[tex]y = 90.2x - 177670.2[/tex]

Hence, the regression equation is [tex]y = 90.2x - 177670.2[/tex]

Read more about regression equations at:

https://brainly.com/question/26347582

If f(x)=−x2−8x+7 and g(x)=x−1, what does (g−f)(x) equal?
A)(g−f)(x)=−x2−9x+8
B)(g−f)(x)=−x2−7x+6
C)(g−f)(x)=−8x+8
D)(g−f)(x)=x2+9x−8

Answers

Answer is D we just have to subtract f(x) from g(x)

what is x and y? help fast!!!!!!!

Answers

Answer:

Step-by-step explanation:

x and y are variables

S to T = 4:1

Therefore;
S = 4/5
T = 1/5

20 yd / 4 = 5 yd
10 yd / 4 = 2.5 yd

x = 5 yd
y = 2.5 yd

select all the statements that are true (YOO SOMEONE)

Answers

Answer:

Step-by-step explanation:

so we see that the triangle is getting bigger this means that B, D,E are true I think

If my answer helps please mark as brainliest.

You earn a $12 weekly allowance. Would you rather get a 20% increase or $15 a week? Why?
(PLEASE SOMEONE ANSWER THIS A S SOON AS POSSIBLE!!!)

Answers

Answer:

$15 a week

Step-by-step explanation:

A 20% raise is $14.40 a week

Please Help!! Brainliest Answer! Thank you!

Answers

Answer:

D. 157.5

Step-by-step explanation:

Formual for sum of interior angles

(n-2)*180

so 14*180=2520

but that is the sum

divide that by 16 (2520/16) = 157.5

157.7 because if u do work smart you will get that answer

please help

the x =

the box-

the T-

Answers

Answer:

x²=25

x=25½

x=5

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

A tip for great service is 20% of the bill. If the bill for dinner is $32, what is the total cost of dinner?

Answers

[Aforementioned Text Is Unavailable, Please Try Again Later]

PLEASE HELP URGENT WILL MARK BRAINLIEST

Solve System by writing the system of Linear equations Jason reached into his pocket and pulled out 13 coins and noticed he only had quarters and dimes. If the value of the coins was $2.65 how many quarters did he have?

Answers

Answer:

he had nine quarters and four dimes

answer:
90 quarters and four dimes

I need some help on this

Answers

Answer: A

Step-by-step explanation: A function means that your x can only have one y but your y can have multiple x's.

If one tenement on the Lower East Side of New York had 101 adults and 91 children, and there was an average of 8 persons in a tenement apartment, how many apartments did this tenement have?

Answers

Answer:

24 Apartments

Step-by-step explanation:

To get the total amount of people living in the apartment building, you add 101 and 92.

101+91=192 total people

You then divide this total by the amount of people staying in each apartment, which is 8.

192/8=24 apartments

This leaves you with 24 apartments, with 8 people living in each one.

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