Solve the equations below. Give exact solutions only. Show your work.

a) 5x^2 - 7 = 72
b) x(x + 2) = 5
c) 3x^2 + 2x - 4 = 0

Answers

Answer 1

Answer:

A. 5x² - 7 - 72 = 0

5x² - 79 = 0

x = ± √-4ac / 2a

x = ± √- 4 (5) (-79) / 2 (5)

x = ± √ 1580 / 10

x = ± 39.749/10

x = + 39.749/10 x = -39.749/10

= 3.9749 = - 3.9749

B. x² + 2x - 5 = 0

x = - b ± √b² - 4ac / 2a

= - 2 ± √2² - 4 (1) (-5) / 2 (1)

= - 2 ± √4 + 20 / 2

= - 2 ± √ 24 / 2

x = - 2 + 4.898 /2 x = - 2 - 4.898 / 2

= 2.898/2 = -6.898/2

= 1.449 = - 3.449

C. 3x² + 2x - 4 = 0

x = - b ± √b² - 4ac / 2a

= - 2 ± √2² - 4 (3) (-4) / 2 (3)

= - 2 ± √4 + 48 / 6

= - 2 ± √ 52 / 6

x = - 2 + 7.211 /6 x = - 2 - 7.211 / 6

= 5.211/6 = - 9.211 /6

= 0.869 = - 1.535

Hope that helps

Please to re-check answers


Related Questions

275 gallon oil tank costs $400 to fill. How much would it cost to fill a 180 gallon oil tank?

Answers

Answer:

$261.82 per 180 gallon of oil tank.

Step-by-step explanation:

set a proportion;

400 x

------ = -----

275 180

180/275 = 0.6545454545454 x 400

= 261.81818181816

round the the nearest hundredth

Aura built a scale model of a building using a scale in which 4 inches represents 60 feet. The height of the building is 420 feet.

What is the height of the scale model in inches?

Answers

Answer:

  28 inches

Step-by-step explanation:

We're told that each 60 ft is represented by 4 inches of model. 420 feet is 7 times 60 feet, so the model will be 7 times 4 inches.

The height of the scale model is 28 inches.

Suppose you have a five dollar off coupon at a fabric store you buy a fabric that cost $10 per yard

1.)right in equation that models the total number of money, y, that you can buy x yards of fabric

2.) if you bought 9 yards of fabric how much will you pay

3.) if you paid $47.50 how many yards of fabric did you purchase

Answers

Answer:

1.) 10x-5=y

2.) $85

3.) 5.25 yards of fabric.

Step-by-step explanation:

1.) To write an equation for this problem, we need to figure out what every value means:

the variable x, represents the amount of yards of fabric you can buy

the variable y, represents the total amount of money after you found out (x) or the amount of yards of fabric.

1 yard of fabric equals $10, and we have a $5 coupon (-5)

Our equation is:

10x-5=y

This equation represents the relationship between the total cost of fabric, and the amount that you can buy.

2. In order to solve this problem we need to use our equation, one value is given which is 9.

9 represents x, the amount of yards of fabric.

Substitute 9 into x:

10(9)-5=y

Solve:

90-5=y

85=y

85 represents the cost of 9 yards of fabric, including the $5 coupon.

3.) This problem is similar to #2, although it's flipped.

The value given is $47.50, which represents (y), the total amount of money after (x) was found out.

But, we need to figure out (x).

Substitute $47.50 into (y):

10(x)-5=$47.50

Next, we need to figure out x by solving the opposite.

Adding the coupon to our answer can represent 10(x).

$47.50+5=52.50

10(x)=52.50

Lastly, divide both sides of the equation by 10.

10(x) / 10=52.50 /10

x=5.25

5.25 represents the amount of yards of fabric purchased if you paid $47.50.

4d-6=-14+5d
NEED HELP ASAP

Answers

Answer:

Hewo There!!!

____________________

Isolate the variable by dividing each side by factors that don't contain the variable.

d = 8

____________________

“Darkness cannot drive out darkness: only light can do that. Hate cannot drive out hate: only love can do that.”

― Martin Luther King Jr., A Testament of Hope: The Essential Writings and Speeches

_______________________

Think of life as a mytery because well it sort of is! You don't know what may happen may be good or bad but be a little curious and get ready for whatever comes your way!! ~Ashlynn

Find the unknown number in the equation 16 x 7 = 28 x n. 4 7 8 10

Answers

Answer:

the answer is 4

Step-by-step explanation:

16×7= 112

112÷28=4

I bad at math :/ plz help​

Answers

Answer:

i think its b

Answer:

B. (x³-10)(x⁶+10x³+100)

Step-by-step explanation:

x⁹-1000

(x³)³-10³

so now always remember

x³-y³=(x-y)(x²+xy+y²)

so for this question x= x³ and y=10

we now have

(x³-10)((x³)²+10x³+10²)

(x³-10)(x⁶+10x³+100)

please help me asapppp

ty :D

Answers

Answer:

3x+5y-20

have a nice day

I need help answering asap!

Answers

Answer:

4 is. R=11.94 D= 23.88

5 and 6 I am not sure tbh

7 D=60.50 R=30.25

8 D=60 C=120

1 7/9 divided by 4/5

Answers

The answer would be 20/9

this would be because you need to convert it into an improper fraction due to it originally being 1 7/9 then you would divide 16/9 by 4/5 and simplify!

I hope this helped :)

Answer:

[tex]\frac{20}{9}[/tex]

Step-by-step explanation:

hope this helps have a great rest of your day

Can some one help? This is sooooooo hard

Answers

Answer:

median is a hight of a triangle

Please answer this ASAP
Solve for x.
5x−3=13−3x

A: x=-2
B: x= -5
C: x=2
D: x=5

Answers

Answer:

c: x=2

Step-by-step explanation:

5x-3= 13-3x

   +3      +3

5x=16-3x

+3      +3

8x=16

divide all of it by 8 and thats how you get your answer

angle A and angle B are complementary angles. If m angle A = (4x – 28)° And angle B = (4x - 8)°, then find the measure of A.​

Answers

Complementary angles have a submission of 90 degrees thus :

[tex]angle \: \: A + angle \: \: B = 90°[/tex]

[tex](4x - 28)° + (4x - 8)° = 90°[/tex]

[tex]4x + 4x - 28 - 8 = 90[/tex]

Collect like terms

[tex]8x - 36 = 90[/tex]

Add both sides 36

[tex]8x - 36 + 36 = 90 + 36[/tex]

[tex]8x = 126[/tex]

Divide both sides by 8

[tex] \frac{8x}{8} = \frac{126}{8} \\ [/tex]

[tex]x = 15.75[/tex]

_____________________________________________

Now let's find the measure of A :

[tex]A = 4x - 28[/tex]

[tex]A = 4 \times (15.75) - 28[/tex]

[tex]A = 63 - 28[/tex]

[tex]A = 35°[/tex]

And we're done...

Don't have a good day , Have a great day ♡

please help only answer if you're sure it right​

Answers

(B)

is my answer..........

Answer:

I think b is correct answer

Step-by-step explanation:

is correct answer

Order the expressions by choosing >,<,or =

Answers

Answer:

==<

Step-by-step explanation:

The applicable rules of exponents are ...

  (a^b)(c^b) = (ac)^b

  (a^b)(a^c) = a^(b+c)

__

1. 3^3 × 5^3 = (3×5)^3 = 15^3 . . . . equal

2. 3^5 × 3^3 = 3^(5+3) = 3^8 . . . . equal

3. 3^5 × 5^3 = 3^5 × (5^(5 -2) = (3^5 × 5^5) × 5^(-2)

  = 15^5 × 5^-2 < 15^15 . . . . less than

_____

Additional comment

Your calculator can evaluate these expressions so you can see their relationships.

A sticker costs 25 cents. How many dollars is that?

Answers

Answer:

Boy.... Its one forth a dollar.

Step-by-step explanation:

1/4

Please Help ill give brainliest!!!! Help ASAP


Question: Whose puppy gained weight the slowest? How much did it gain per week?

Answers

Answer:

Camille's puppy becuase it gains about half a pound per week

Step-by-step explanation:

Answer:

Camille's puppy because it gains about half a pound per week

Step-by-step explanation:

brainliest please?

What are some possible solutions for the following?

Answers

Answer:

After solving the problem, the answer is x>1/2. However I do not see the answer choice provided so I do not know the answer to the question

Step-by-step explanation:

Java 1

Question 15
Another word for "looping" is:

a. encapsulation
b. iteration
c. reiteration
d. generalization
e. inheritance

Answers

Answer:

the anwser is b

Step-by-step explanation:

it is another word for looping

Studying a group of children from first grade through high school to see the effect of pre-schooling on educational success would be which
type of study?
a
longitudinal
cross-sectional
Ос
natural observation
Od
experimental

Answers

Answer:

Longitudinal study

Step-by-step explanation:

Information is collected over extended periods of time in a longitudinal study, but in cross-sectional, natural observation, and experimental studies, information is collected over short periods of time or in one time only. Based on the choices given, this type of study would be a longitudinal study.

Please answer number 1.

I have to do 2 pages of homework I need this done I have school tomorrow..

Have no idea how to do this. Please help I beg you.

Answers

Answer: The two specific conjectures are in the first image, and the two general conjectures are in the second image.

Missing Work Help!!!

I have a bunch of missing work.
What are some strategies to help stay calm and even out the work?

I would really appreciate the help :)

Answers

Answer:

Take Action: Take Time to Plan. ...

Take a Break: Get Out of the Office. ...

Take Action: Talk it Out with a Colleague. ...

Take a Break: Get a Full Night's Sleep. ...

Take Action: Work on the Weekends.

Answer:

If your due dates are at least by the end of the week, I recommend doing straight work for 30 minutes, then rewarding yourself. Repeat this for as long as you want but don't do so much that you weren't able to do anything socially for the whole day. If your due dates are already passed or if they are coming up really soon, I recommend putting on whatever music you like to listen to, but nothing to upbeat. Put on some calm music with a rain sound effects video in the background, and just keep working until you kind of dose off from reality and just get in the zone. A long answer, but it really helps.

Forgot to mention; if you ever get stressed out, either do something else to calm down, or use that stress to your advantage and do a ton of work because of it.

i dont know how to do this stuff
im choosing brainliest

Answers

Answer:

5 - 15 = -10

Step-by-step explanation:

Answer:

5 - 15 = -10

Step-by-step explanation:

If you start with 5 and then subtract 15, you end up at -10.

2 (x + 4) = 2 (-8 - x) - 2x

Answers

Answer:

x = -4

Step-by-step explanation:

Simplifying

2[x + 4] = 2[-8 + -1x] + -2x

Reorder the terms:

2[4 + x] = 2[-8 + -1x] + -2x

[4 * 2 + x * 2] = 2[-8 + -1x] + -2x

[8 + 2x] = 2[-8 + -1x] + -2x

8 + 2x = [-8 * 2 + -1x * 2] + -2x

8 + 2x = [-16 + -2x] + -2x

Combine like terms: -2x + -2x = -4x

8 + 2x = -16 + -4x

Solving

8 + 2x = -16 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.

8 + 2x + 4x = -16 + -4x + 4x

Combine like terms: 2x + 4x = 6x

8 + 6x = -16 + -4x + 4x

Combine like terms: -4x + 4x = 0

8 + 6x = -16 + 0

8 + 6x = -16

Add '-8' to each side of the equation.

8 + -8 + 6x = -16 + -8

Combine like terms: 8 + -8 = 0

0 + 6x = -16 + -8

6x = -16 + -8

Combine like terms: -16 + -8 = -24

6x = -24

Divide each side by '6'.

x = -4

Simplifying

x = -4

2( x + 4) = 2 (-8 -x) -2x

Use the distributive property to multiply 2 by x + 4.

2x + 8 = 2 (-8 -x) - 2x

Use the distributive property to multiply 2 by -8 -x.

2x + 8 = -16 -2x - 2x

Combine -2x and 2x to get -4x.

2x + 8 = -16 - 4x

Add 4x to both sides.

2x + 8 + 4x = -16

Combine 2x and 4x to get 6x.

6x + 8 = -16

Subtract 8 from both sides.

6x = -16 - 8

Subtract 8 from -16 to get -24.

6x = -24

Divide both sides from 6.

x = [tex]\frac{-24}{6}[/tex]

Divide by -24 by 6 to get -4.

x = -4.

The triangle shown below has an ar

Answers

Answer:

a^2+b^2=c^2

C=7

b=?

a=4

LET B=x =

[tex] \sqrt{65 } [/tex]

What is the distance between the following points

answer choices

A 85

B 90

C 11

D 12

Answers

Answer:

[tex]\sqrt{85}[/tex]

Step-by-step explanation:

Calculate the distance d using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2-y_{1})^2 } }[/tex]

with (x₁, y₁ ) = (- 5, 8 ) and (x₂, y₂ ) = (4, 6 )

d = [tex]\sqrt{4-(-5))^2+(6-8)^2}[/tex]

  = [tex]\sqrt{(4+5)^2+(-2)^2}[/tex]

  = [tex]\sqrt{9^2+4}[/tex]

  = [tex]\sqrt{81+4}[/tex]

  = [tex]\sqrt{85}[/tex]

Determine the amount of the ordinary annuity at the end of the given period. (Round your final answer to two decimal places.)

$200 deposited quarterly at 6.9 for 6 years

Dont need steps…just the answer

Answers

Answer: $301.51 [recheck the answer]

Step-by-step explanation:

y = a(1+r/n)^nt

y = 200(1+0.069/4)^4*6

y = 301.505

the answer is 301.51

Y= -2x+4 in function notation

Answers

Answer:

Hello!!!

[tex]y = - 2x + 4 \\ 0 = - 2x + 4 \\ 2x = 4 \\ x = 2[/tex]

Step-by-step explanation:

That is the answer :D

Question in the picture

Answers

Brainliest pleeease!!!!
Ok sooooooo the line is at the y intercept at (0,-50)
And if u choose two points on the graph (solid points) likeeee…. (0,-50) and (20,-30)
Use rise/ run
Soooo u go up two units and right two units soooo 2/2!!! Simplified thats what?? Thats 1!!
And so.
Y=mx+b
Plug in a few numbers….
Y=1x-50
Aaaaand the slope is moooving up (how do I know??) because from the start which is (0,-50) it goes up. So that’s why the 1 is positive. It’d be negative if it’s going the other way.
Sorry if that made no sense but moral of the story, the answer is y=1x-50
50/-100 that would be the answer I’m not sure

BRAINLIEST NO LINKS

Allen is showing his work in simplifying −8.3 + 9.2 − 4.4 + 3.7. Identify any errors in his work or in his reasoning.

Step Work Reasoning

−8.3 + 9.2 − 4.4 + 3.7 Original problem

1 −8.3 + 9.2 + 4.4 + 3.7 Additive inverse

2 −8.3 + 4.4 + 9.2 + 3.7 Commutative property

3 −8.3 + (4.4 + 9.2 + 3.7) Associative property

4 −8.3 + 17.3 Simplify

5 9 Simplify

A: He did not make any errors.

B: Step 1: He wrote −4.4 incorrectly as + 4.4.

C: Step 2: He identified changing the order of the numbers as the commutative property, which is incorrect.

D: Step 3: He identified changing the grouping of the numbers as the associative property, which is incorrect.

Answers

In 1. He did not use the correct of making it an additive inverse. Usually to make additive inverse, one has to add the same numbers but opposite signs with it to result for a zero.

So the answer for step 1. would be... - 8.3 + 8.3 + 9.2 - 9.2 - 4.4 + 4.4 + 3.7 - 3.7

In 2. he also had errors because commutative property states that we can place the numbers in a different format but the result number will always be the same.

So the original problem is −8.3 + 9.2 − 4.4 + 3.7  which results 0.2                                     but in Allen's workout: −8.3 + 4.4 + 9.2 + 3.7 results 9

Actually the answer is B.  cuz A is incorrect because he made errors. D is also incorrect because changing the grouping of numbers are commutative property. And step 2 is actually commutative so its not incorrect.

answer above is correct!


Profit is defined as earnings less expenses (earnings - expenses). At the local hot-air balloon festival, the Ma & Pops Ice Cream Truck sells ice cream pops, which cost them $0.75 each, but are sold for $2 each. They also paid $50 to the festival's organizers for a vendor permit. The table below shows the earnings, expenses, and profit earned when 50, 75, and 100 ice cream pops were sold at the festival.

Answers

Answer:

Step-by-step explanation:

Other Questions
A fishbowl has a capacity of 192 fluid ounces. How many quarts is that? what is a good thesis statement for mothers tongue amy tan socks cost $2 per pair. the cost of n pairs $2n. john says that the cost of 6 pairs is $26 and the cost of 7 pairs is $27. is this correct? what did john do wrong? Elle where are you man? pffftftftftft Jay works as a waiter at a restaurant.He works 12 hours each weekend. Jay makes $5.50 perhour and he gets to keep 60% of his tips.If Jay wants to earn $150 before taxes, how much tipmoney should he get during the weekend?PLEASE HURRY PLZ HELP ME WITH MY MATH HOMEWORK!!! SHOW WORK!!! describe 2 ways that mitosis is important for your body. the effect of an increase in the price level on the aggregate-demand curve is represented by a Roger ran eight laps around a mile track during PE on Monday.How many feet did Roger run in completing eight laps En este ejercicio No slo has de localizar DIPTONGOS sino prestar una gran atencin al texto con el fin de localizar TODAS las palabras que los incluyen. Haz una lista de los diptongos que localices. 21 en total pcoming En junio de 1969 dos motivos tan afortunados como triviales condujeron a Mario Jimnez a cambiar de oficio. Primero, su desafecto por las faenas de la pesca que lo sacaban de la cama antes del amanecer, y casi siempre, cuando soaba con amores audaces, protagonizados por heronas tan abrasadoras como las SE... que vea en la pantalla del rotativo de San Antonio. Este talento, unido a su consecuente simpata por los resfros, reales o fingidos, con que se excusaba da por medio de preparar los aparejos del bote de su padre, le permita retozar bajo las nutridas mantas chilotas, perfeccionando sus onricos idilios, hasta que el I pescador Jos Jimnez volva de alta mar, empapado y hambriento, y l mitigaba then co su complejo de culpa sazonndole un almuerzo de crujiente pan, bulliciosas ensaladas de tomate con cebolla, ms perejil y cilantro, y una dramtica aspirina que engulla cuando el sarcasmo de su progenitor lo penetraba hasta los huesos El cartero de Neruda. A. Skarmeta what is the best scene with the giver in the giver A car is traveling at a constant speed of 65 miles per hour. Drag each list or statement below to show whether it describes the independent quantity or the dependent quantity. What is the correlation coefficient of y=2.6x+43.1? true or false? local biogeochemical cycles are isolated within their particular ecosystem and all ions and molecules remain in that ecosystem permanently. I NEED THIS ANSWERED PLEASE ASAP !!!Which detail from The Way to Rainy Mountain supports the central idea that the Kiowa oral tradition keeps the culture alive?1: Yet it is within the reach of memory stilland demands to be preserved for its own sake.2: The old men were the best arrowmakers, for they could bring time and patience to their craft.3: The sun follows a longer course in the day, and the sky is immense beyond all comparison.4: A single knoll rises out of the plain in Oklahoma, north and west of the Wichita Range. What is the sum of 130+125+191? A. 335. B. 456. C. 446. D. 426. If we minus 712 from 1500, how much do we get? A. 788. B. 778. C. 768. D. 758.50 times of 8 is equal to: A. 80. B. 400. C. 800. D. 4000. 110 divided by 10 is: A. 11. B. 10. C. 5. D. None of these. FRIEND ME!!! Solve the system of linear equations by substitution: (SHOW UR WORK)y=-xy=3x-4 What type of reasoning is being used?They sat on the tests, and many of the fishermen mate fun of the old man, and he was scaangy Others of the dder fishermen, looked at him and were sed. Put they did not show it andthey socke politely about the current and the depths they had orted their lines at and the studygood weather and of what they had seen"Deductive reaningInductive reasoningCasal reasoningAnalogical reasoning what should be changed to make the following sentence true? in aversion therapy, a therapist seeks to treat clients fears or anxiety by presenting them with the object or situation that causes their problem, with the idea that they will eventually get used to it through extinction of the conditioned response. You can answer the ones you want to. At least one.Have no idea how to do this. Please help I beg you.