1) x-1+5[tex]\sqrt{x-1\\}[/tex]+3=0
4) [tex]x^{4}[/tex] -64=0

Answers

Answer 1

Answer:

See explanation below

Step-by-step explanation:

Find the value of x in each of the following

1) x-1+5√x-1+3=0

5√x-1 = -x -2

Square both sides

25(x-1) = (-x-2)^2

25(x-1) = x^2+4x + 4

25x-25 = x^2+4x + 4

x^2 +4x + 4 - 25x + 25 = 0

x^2 - 21x + 29 = 0

x = 21±√21²-4(29)/2

x = 21±√441-116/2

x = 21±√325/2

x = 21±18.03/2

x = 21+18.03/2 and 21-18.03/2

x = 19.515 and 1.485

4)  x^4-64=0

x^4 = 64

[tex]x = \sqrt[4]{64}[/tex]

x = 2.83


Related Questions

PLZZZ ANSWER I BEG U
Graph a line with a slope of 2 that goes through the point (4, 8).

To graph a line, plot two points on the line.

Answers

Answer:

Step-by-step explanation:

10 points !

Use synthetic division to find all the factors of this polynomial

4x^3+5x^2-18x+9

Answers

Answer:

(x-1)(4x-3)(x+3)

Step-by-step explanation:

The factor of the polynomial 4x³ + 5x² – 18x + 9 will be (4x – 3), (x + 3), and (x – 1).

What is a factorization?

It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.

The polynomial is given below.

⇒ 4x³ + 5x² – 18x + 9

Then the factor of the polynomial will be

⇒ 4x³ – 3x² + 8x² – 6x – 12x + 9

⇒ x²(4x – 3) + 2x(4x² – 3) – 3(4x – 3)

⇒ (4x – 3)(x² + 2x– 3)

⇒ (4x – 3)(x² + 3x – x – 3)

⇒ (4x – 3)(x + 3)(x – 1)

More about the factorization link is given below.

https://brainly.com/question/6810544

#SPJ5

KIA buys a shirt that cost $12.50 and some pairs of socks that are $2.50 each. She pays a total of $27.50. How many pairs of socks did kia buy?

Answers

27.50-12.50=15
15/2.5=6
Six pairs

The radius of a circle is 13.8 cm. Find the circumference
to

the

nearest

tenth

Answers

Answer:

86.7

Step-by-step explanation:

the circumference = 2 x pi x radius

13.8x2.3.14=86.7

Answer:

87

Step-by-step explanation:

there you go

Bobinvested$6500intoamutualfund with 3.5% monthly interest rate. What is the balance in the account after one month?

Answers

Answer:

$6727.50

Step-by-step explanation:

35/1000*6500

= 35*6.5

=227.50

6500+217.50

6727.50

Reasoning: Write a function g(x) to represent the translated graph. f(x) = 3x + 7 translated 4 units up.

Answers

Answer:

I am pretty sure its g(x) = 3x + 11

What is the slope of the line that passes through these two points (-2,4) (3,4)?

Answers

Answer:

0

Step-by-step explanation:

m=y-y1/x-x1

m=4-4/-2-3=0/-5

m=0

Any claims that m4+m5=m10+m9, Is Amy correct? Use mathematics language to justify your response.

Answers

Yes, if the lines are parallel the answer is yes. Because angle 10+angle 9 = 180°. And angle 4 + angle 5 also = 180° since both add up to a straight line. The only way that this answer could be no is if The diagram wasn’t drawn to scale.

You buy a computer for $3,000. Its value depreciates by 8% every month. Write an equation to represent the situation. How much is your computer worth after 3 years?

Answers

Answer:

y=3,000(0.92)^x

Step-by-step explanation:

your computer is worth $2, 336.04

Lance put $40,000 into a bank account that pays 3% interest every 4 months. How much money will Lance have after 5 years?

Answers

Answer:

$600,000

Step-by-step explanation:

interest = 3/100 × 40,000 = $1200

4 months = 1/3 years

[tex]p = \frac{100 \times i}{rt} = \frac{100 \times 1200}{3 \times \frac{1}{3} } = 120000[/tex]

$120,000 in 1 year

5years, 120,000×5 = $600,000

Answer:

here u go

Step-by-step explanation:

$600,000

Step-by-step explanation:

interest = 3/100 × 40,000 = $1200

Hong Wu means what?

great ruler
leader of peasants
father of dynasties
vast military power

Answers

Answer:

Hong Wu means...

Step-by-step explanation:

The last one

Answer:

Its D

Step-by-step explanation:

HELP MEHHH, WILL MARK BRAINLIEST!!! NEED ANSWER TO Q 3

Answers

if each book is $7.35 each then John would be able to buy 4 books which would be a total of $29.40

giving brainliest Here are the coordinates of rectangle PLAY: (-11,20), (-11,-3), (-1,20), (-1,-3). Find the perimeter of this rectangle. See if you can figure out its side lengths without plotting the points.

Answers

Answer:

perimeter equals 66

sides: 23,23,10 10

You need to use the distance formula. I recommend plotting these points on graphing paper to help you.

Find A, 120°,140°,95°,80°

Answers

Answer:

a looks congruent to 95° so it's maybe around 95°

Step-by-step explanation:

i'm not sure sorry, but i think it's close to 95°

A = 105 degrees

pentagons add up to 540, and all angles added up is 435. 540 - 435 is 105.

of Composite Shapes P5
driguez
Figure 10: Find the area of this composite shape.
Find the area of this composite shape.
15 yd
4 yd
Subi
10 yd
6yd

Answers

It is 114, because you subtract 6 from 15. So, the bigger thing is 90, add the smaller one onto it, 6 times 4 equals 24, 90+24=114.

Help me find the slope of the line

Answers

Answer:

i think is 2 but i am not sure

Answer:

1/2

Step-by-step explanation:

This is tough because you don’t know the numbers on the side graph, but i’m assuming it’s 1 each.

Find where the line is on a point. Since slope is Rise over run. Go up 1 and sideways 2.

PLEASE HELP!!!!!! 20+ POINTS
I have not been paying attention in class at all for the past 3 weeks, and we have a test tomorrow. Please explain all this stuff and more related to it. if it is not good enough then I will delete it and you will not get the points.

Answers

Answer:

B. (x , y) -> (-y , x)

Step-by-step explanation:

counter clockwise rotation 90° : (x,y) -> (-y,x)

Yusuf is preheating his oven before using it to bake. The initial temperature of the oven is 70° and the temperature will increase at a rate of 20° per minute after being turned on. What is the temperature of the oven 13 minutes after being turned on? What is the temperature of the oven tt minutes after being turned on?

Temp after 13 minutes:???
Temp after tt minutes:???

Answers

Answer:

temp after 13 minutes is 330 degrees

Step-by-step explanation:

70+(20/13)=260+70=330

Answer:

330 Degrees

Step-by-step explanation:

First, you will want to multiply 20 timesthe time 13. You would get 260, but don't forget about the initial temperaure of 70 so add that, and you will get 330 degrees. I hope this helps :)

anybody know this i'll give you brainliest

Answers

[tex]\sqrt{5}[/tex] is in between 2 and 3

[tex]\sqrt{105}[/tex] is in between 10 and 11

[tex]\sqrt{99}[/tex] is in between 9 and 10

[tex]\sqrt{27}[/tex] is in between 5 and 6

[tex]\sqrt{2}[/tex] is in between 1 and 2

[tex]\sqrt{67}[/tex] is in between 8 and 9

[tex]\sqrt{133}[/tex] is in between 11 and 12

[tex]\sqrt{90}[/tex] is in between 9 and 10

Answer:

[tex] \sqrt{5} = 2.24[/tex]

[tex] \sqrt{105} = 10.24[/tex]

[tex] \sqrt{99 } = 9.95[/tex]

[tex] \sqrt{27} = 5.2[/tex]

[tex] \sqrt{2} = 1.4[/tex]

[tex] \sqrt{133} = 11.53[/tex]

[tex] \sqrt{90} = 9.49[/tex]

[tex] \sqrt{67} = 8.16[/tex]

without being able to read the question at the top, I can not tell you what you should do, but these are the square roots of each number.

The measure of the second angle is 15 degrees more than the measure of the first angle the measure of the third angle is 45 degrees more than the measure of the first angle tine the measures of the interior angles in the triangle

Answers

Answer:

The measures of the three interior angles of the triangle are {40,55,85}.

Step-by-step explanation:

Let a = the measure of the first angle of the triangle.

Let b = the measure of the second angle of the triangle.

Let c = the measure of the third angle of the triangle.

The problem statement tells us that

(1) a = a

(2) b = a + 15 and

(3) c = a + 45

Now we (should) know that the sum of the three angles of a triangle is 180 degrees. Then we get

(4) a + b + c = 180 or by substitution we get

(5) a + (a + 15) + (a + 45) = 180 or

(6) a + a + 15 + a + 45 = 180 or

(7) 3*a + 60 = 180 or

(8) 3*a = 180 - 60 or

(9) 3*a = 120

 

Now divide both sides of (9) by 3 to get

(10) 3*a/3 = 120/3 or

(11) a = 40

Using (2) and (3) we get

(12) b = 40 + 15 or

(13) b = 55 and

(14) c = 40 + 45 or

(15) c = 55

Always check the answer. Use (4)

Is (40 + 55 + 85 = 180)?

Is (95 + 85 = 180)?

Is (180 = 180)? Yes

The measures of the three interior angles would be as follows:

40°,55°,85°

If we assume the first angle(∠1) to be [tex]x[/tex],

so, the second angle(∠2) [tex]= x + 15[/tex]

while the third angle(∠3) [tex]= x + 45[/tex]

Through the Angle Sum Property, we know:

∠1 + ∠2 + ∠3 = 180°

By applying the above expressions, we get

[tex]x + (x + 15) + (x + 45) = 180[/tex]°

⇒ [tex]3x + 60 = 180[/tex]

⇒ [tex]3x = 180 - 60[/tex]

⇒ [tex]x = 120/3[/tex]

∵ [tex]x = 40[/tex]°

Therefore,

∠1 = 40°

∠2 = 40° + 15°

= 55°

∠3 = 40° + 45°

= 85°

Thus, the measures of the angles are 40°,55°, and 85°

Learn more about "Angles" here:

brainly.com/question/11990585

Macy's is going out of business and is having a HUGE sale. A dress that originally costs $40 is now 40% off! What is the final price of the dress?

Answers

Answer:

40% of 40 is 16. 40 - 16 = 24. So the dress is $24.

HELP ME PLZZZZZZZZZZZZZZZZZ

Answers

The correct answer is 4

Answer:

4

Step-by-step explanation:

Have a nice day!

I need help plz help!

Answers

Answer:

bad quality man im sorry

Step-by-step explanation:

Please help with this right triangle problem

Answers

Given:

The figure of a right angle triangle.

To find:

The measure of side AB.

Solution:

In a right angle triangle,

[tex]\cos \theta=\dfrac{Adjacent}{Hypotenuse}[/tex]

In the given triangle,

[tex]\cos B=\dfrac{BC}{AB}[/tex]

[tex]\cos (20^\circ)=\dfrac{7}{AB}[/tex]

[tex]\cos (20^\circ)AB=7[/tex]

[tex]AB=\dfrac{7}{\cos (20^\circ)}[/tex]

On further simplification, we get

[tex]AB=\dfrac{7}{0.93969}[/tex]

[tex]AB=7.449265[/tex]

[tex]AB\approx 7.45[/tex]

Therefore, the measure of AB is 7.45 units.

Number 12 AND QUICKKKK

Answers

Answer:

id say A

because its an opened circle, and when its opened its usually not with the little dash and there's no negative number (that i know of)

A is the answer...........

The art club has a goal to raise at least $500 by selling paintings to the student body for $15 each. They have already spent $70 buying paint. Which inequality could be used to find the number of paintings the art club needs to sell to reach their goal?

Answers

Answer:

15x - 70 = 500

Step-by-step explanation:

PLEASE HELP I HAVE 10 MINUTES AND IM STUCK ON THIS!

Answers

The last one; y = 3x


Hope this helps!!!!

Answer:

y = 3x

Step-by-step explanation:

y = 3 and x = 3 doesn't touch 0, 0

Mr. Strand mowed 2/5 of his lawn. His son mowed 1/4 of it. Who mowed most of the lawn? How much of the lawn still needs to be mowed?

Answers

Answer: Mr. Strand mowed most of the lawn, and 7/20 of the lawn still needs to be mowed.

Step-by-step explanation:

Part 1:

We can use change the fractions so that they have equivalent denominators. The Least Common Denominator that the two fractions have is 20.

2/5 = 8/20.

1/4 = 5/20.

Because of this, Mr. Strand, who mowed 2/5 of the lawn, mowed most of the lawn.

Part 2:

8/20 + 5/20 = 13/20. Therefore, 7/20 of the lawn still needs to be mowed.

In conclusion, Mr. Strand, who mowed 2/5 of the lawn, mowed most of the lawn. 7/20 of the lawn still needs to be mowed.

Answer:

Step-by-step explanation:

0.65 of the lawn was mowed

what is the definition of the word PER?​

Answers

Answer:

for each, by means of.

Step-by-step explanation:

For each

Or

By means of

Carlos needs to buy 6 pens and some colored pencils for school. He has $25 to spend. If the pens cost $3.25 each, how much does Carlos have left to spend?

Answers

Answer:

He will have $5.50 left to spend.

Step-by-step explanation:

Other Questions
What is the boundary line for the linear inequality 4x + 2y < 18? Determine the value of the expression: -3.45 + 4.23 - 7.55. First and right answer gets brainliest. is it posible to make hover shoes by hot gluing magnets to the inside and outside 1) Which country is know for a limited monarchy? Britain France Russia Zamunda 2) which country is know for a absolute monarchy Britain France AmericaMonster Island Which of the following areexamples of natural resources? (Check all that apply) GoldFishFactoriesMoney Make sure to take your shoes Simple math questions pls help me out the number7 less than z is_______ One bottle contains 250 ml of juice. Soham wants 2 liters of juice. How many bottles should he buy? If you were writing a fictional tale of space travel, what details would you add to the facts youve discovered?(This is what I discovered)Are aliens real? It is certain that some people have claimed to see supernatural things. It is also certain that some people claimed to see UFOs and even aliens. We won't know if aliens are real or not until we can get evidence that they exist or they contact us. Where do aliens live? If aliens are real they probably live in outer space or another galaxy. How do aliens use technology in space like a UFO? I think the most possible explanation is that there higher advanced than us. what is the product of 7/8 x 4/7 NEED HELP ASPA WILL MAKE THE BRAINIEST ANSWER A student captures 0.50 moles of hydrogen (H2), oxygen (O2), chlorine (Cl2), carbon dioscide (CO2), and carbon monoxide (CO) gas in separate, evacuated flasks.Arrange the flasks of gases in order of increasing grams of gas..HHH2H2 Conjugate the verb ESTAR using the following subject pronouns.Yo-T-l-Nosotros-Ellas- How do you think mental health is similar to physical health?Who ever answers first gets 20$ no cap Please can I get some help on this? please?1. If the ecosystem is balanced, which populations should be the largest? Which should be the smallest?2. Why can the wolf be considered both a secondary consumer and a tertiary consumer?3. If the original amount of energy found in the producer trophic level is 100 kcal how much is passed on to the primary consumer trophic level? How does this amount limit the number of members in the next higher level?4. Analyze what would happen to this ecosystem if one of the primary consumers was removed from the ecosystem? What would happen if a new tertiary consumer such as a mountain lion came into the ecosystem? Describe how each level would be affected if each of these changes occurred. Find the volume of the cylinder. Round to the nearest hundredth.5 mm.25.5 mm.V=mm3 Helpppppppppppppppppppp NEED HELP ASAP!! Use Pythagorean Theorer to solve. Round to the nearest tenth1.5 in0.9 in Matteo is following this recipe to make a cake. He wants to make four of these cakes.How much of each ingredient does he need?Recipe: Makes 1 cake 6 ounces butter 5 ounces sugar 7 ounces of flour 3 eggs 2 teaspoons (tsps) baking powder Who administers and enforces building codes?