Mathematics College

Please help and give real answers it would be much appreciated

Answers

Answer 1

Answer:

x = 8, x = 10

Step-by-step explanation:

[tex]\sqrt{4x - 31}[/tex] = x - 7 ( square both sides )

4x - 31 = (x - 7)² ← expand using FOIL

4x - 31 = x² - 14x + 49 ( sub 4x - 31 from both sides )

0 = x² - 18x + 80 ← in standard form

0 = (x - 8)(x - 10) ← in factored form

Equate each factor to zero and solve for x

x - 8 = 0 ⇒ x = 8

x - 10 = 0 ⇒ x = 10

As a check

Substitute these values into the equation and if both sides are equal then they are the solutions.

x = 8

left side = [tex]\sqrt{4(8)-31 }[/tex] = [tex]\sqrt{32-31}[/tex] = [tex]\sqrt{1}[/tex] = 1

right side = 8 - 7 = 1

Then x = 8 is a solution

x = 10

left side = [tex]\sqrt{4(10)-31}[/tex] = [tex]\sqrt{40-31}[/tex] = [tex]\sqrt{9}[/tex] = 3

right side = 10 - 7 = 3

Then x = 10 is a solution

Related Questions

Ms. April likes for the twenty students in her
class to have a carton of milk each day at break
time. She sends three of her students down to
the cafeteria to ask for the cartons of milk, but
she likes to mix things up a bit and wants to
send a different group of students down every
day. Will she have enough different groups of
three students in her class of twenty students to
send a different group every day of the school year? (There are 180 days in the school year)

Answers

9514 1404 393

Answer:

yes

Step-by-step explanation:

There are 20 ways to choose the first student, 19 ways to choose the second student, and 18 ways to choose the third student. Chosen this way, the same three students can be chosen 3×2×1 = 6 different ways. So, the number of different choices of 3 students will be ...

(20×19×18)/(3×2×1) = 1,140

There are easily enough different combinations of 3 students to have a different combination each day.

_____

Additional comment

The number found above is the number of combinations of 20 students taken 3 at a time: 20C3 or C(20, 3). The value can be computed from ...

nCk = n!/(k!(n-k)!)

Graph the linear equation. X = - 4y

Answers

Slope is rise .5 run of 2

The angle measure of a triangle is shown in the diagram.
what is the value of x?
A. 13
B. 20
C. 5
D. 12

Answers

Answer:C.5

Step-by-step explanation:

The weight of an adult standard poodle was found to follow a normal distribution with a mean of 50 pounds and a standard deviation of 15 pounds. If represents the mean weight of a random sample of 7 adult standard poodles, what is (round off to second decimal place)

Answers

Using the Central Limit Theorem, it is found that the distribution of the sample means of the weights of the 7 adult standard poodles is normal, with mean of 50 pounds and standard deviation of 5.67 pounds.

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

In this problem, for the population, [tex]\mu = 50, \sigma = 15[/tex].

Sample of 7, hence [tex]n = 7, s = \frac{15}{\sqrt{7}} = 5.67[/tex]

The distribution of the sample means of the weights of the 7 adult standard poodles is normal, with mean of 50 pounds and standard deviation of 5.67 pounds.

A similar problem is given at https://brainly.com/question/25606713

Given 4(3x-8)=52 prove x=7
Please help me

Answers

Answer:

4(3x-8)=52

divide both sides by 4

4/4(3x-8)=52/4

3x-8=13

add both sides by 8

3x-8+8=13+8

3x=21

divide both sides by 3

3x/3=21/3

x=7

Step-by-step explanation:

4( 3x-8) = 52

12x - 32 = 52

Group all like terms

12x = 52 + 32

12x = 84

Divide both sides by 12

12/12x = 84/12

x = 7

Therefore, x = 7.

Hope it helps. Please mark me brainliest.

2
Select the correct answer.
Which statement is true about this equation?
-412p+5) + Bp=-11
A. The equation has one solution, p=2.
B. The equation has one solution, p=-2.
C. The equation has no solution.
D. The equation has infinitely many solutions.

Answers

Step-by-step explanation:

The equation has infinite solution p=2 that's tour variable

4m 10m - - The accompanying figure is a water tank whose radmis is 4m and height 10m. 4.1 Determine the total surface area of the tank. (3)

Answers

Answer:

45789932

Step-by-step explanation:

3456899954433222222344577890009

Tp 3 Work Backwards
1. Bowser, Abby, and Chuckles are 3 dogs with a
combined age of 44. Bowser is 6 years older than
Abby. Abby is 2 years younger than Chuckles, c.
Which expression could be used to find the age of
Chuckles?

Answers

Answer:

Your equation option is possibly in here somewhere.

Step-by-step explanation:

A = C - 2

B = A + 6 → A = B - 6

C - 2 = A = B - 6 → B = C + 4

44 = C + B + A

44 = C + (C + 4) + (C - 2)

44 = 3C + 2

42 = 3C

C = 7

Solve: (4x^2-3x+7)-(x^2+8x-5)

Answers

Given polynomial:

(4x²-3x+7) - (x²+8x-5)

⇛ 4x²-3x+7-x²-8x+5

⇛ (4x²-x²) +(-3x-8x)+(7+5)

⇛ (4-1)x²+(-3-8)x+12

⇛ 3x²+(-11)x+12

⇛ 3x²-11x+12

(4x²-3x+7) - (x²+8x-5) = 3x²-11x+12

Note:-

When subtracting two polynomials,change the symbols of the each term in the second polynomial which is subtracted from the first polynomial.

Read more:

Answers

Answer:

Two crates, A and B, are connected with a rope of negligible mass over a frictionless pulley as represented in the diagram shown on the left. The crates are at rest.

Crate A has an unknown mass and hangs vertically to the right of the slope and crate B, with mass 14 kg, hangs on the slope to the left. The slope makes and angle of 68° with the horizontal.

The coefficient of static friction between crate B and the surface of the slope is 0.3. The direction of the frictional force is up the slope. Calculate the mass of crate A.

Jasmine ran 5 miles in 42 minutes

Answers

Answer:

5 divided by 42 is 0.11 repeating

Step-by-step explanation:

Which table of ordered pairs represents a proportional relationship?
CS
Х
-2
-4
-6
у
4
16
36
х
-4
-6
-8
y
-8
-12
-18
Х
-3
-5
-7
y
5
3
1
X
-3
6
_9
у
12
24
36

Answers

Answer: A 2-column table with 3 rows.

Step-by-step explanation:

Which of the following correctly factors the expression −20x+4y−2?

A

4(−5x+4y+2)

B

2(−10x+2y−1)

C

−2(10x+2y+1)

D

−20(x−4y+2)

Answers

9514 1404 393

Answer:

B 2(−10x+2y−1)

Step-by-step explanation:

The greatest common factor is 2. Factoring that out gives the factorization shown in choice B.

2(-10x +2y -1)

You could factor out -2. Doing that would give ...

-2(10x -2y +1) . . . . . . . doesn't match choice C

HELP 100 points for these.
PLZZZ HELP also brainliest :)

Answers

Answer:

1) GCF is 1 in this case

2) GCF is 36

3) GCF is 3

4) GCF is 2

Step-by-step explanation:

Well GCF is greatest common factor, with that it Has to be the greatest and a common factor between 2 numbers. You can always list them out for example GCF of 3 and 12

THe factors of 3 are

1-3

The factors of 12 are

1-2-3-4-6-12

The greatest common one is 3.

Answer:

GCF = 1

GCF = 36

GCF = 3

GCF = 2

Step-by-step explanation:

45 & 16

The factors of 16 are: 1, 2, 4, 8, 16

The factors of 45 are: 1, 3, 5, 9, 15, 45

Then the greatest common factor is 1.

36 & 36

The factors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18, 36

Then the greatest common factor is 36.

45 & 6

The factors of 6 are: 1, 2, 3, 6

The factors of 45 are: 1, 3, 5, 9, 15, 45

Then the greatest common factor is 3.

30 & 16

The factors of 16 are: 1, 2, 4, 8, 16

The factors of 30 are: 1, 2, 3, 5, 6, 10, 15, 30

Then the greatest common factor is 2.

Can I have brainliest?

F=8
e=0.2
When F=25 find x

Answers

Answer:

0.625

Step-by-step explanation:

hope it can help you lovelots

6/4 on a number line

Answers

Answer:

Here plz leave review thx

Step-by-step explanation:

O A woman's store sells the following categories of clothing for the following prices. blouses : Ghc14 each, skirt : Ghc 16 each, dress: Ghc 25 each, pantyhose:2 pairs for Ghc 3, socks: Ghc7. A lady goes to the store in a day when the store has a 20% off sale on all skirts. if ya buys 2 skirks, 1 dress and 4 pairs of pantyhose, how much money does lady have to pay?

Answers

Answer:

Step-by-step explanation:

i know this because i passed collage last year

What is the amplitude and period of the function shown below?

Answers

The features of the sine function in this problem are given as follows:

Amplitude: 2.

Midline: y = -4.

Period: 3 units.

What is trigonometry?

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

Here, we have,

The equation is given as follows:

y = 2sin(2πx/3) - 4.

we have to define the sine function:

The standard definition of the sine function is given as follows:

y = Asin(B(x - C)) + D.

For which the parameters are given as follows:

A: amplitude.

B: the period is 2π/B.

C: phase shift.

D: vertical shift.

The function has a minimum value of -6 and a maximum value of -2, for a difference of 4, hence the amplitude is given as follows:

2A = 4.

A = 2.

Without vertical shift, a function with amplitude of 2 would oscillate between -2 and 2, while this one oscillates between -6 and -2, hence the vertical shift is given as follows:

D = -4.

The shortest distance between repetitions can be given by 2 - (-1) = 3, hence the period is of 3 units and the coefficient B is given as follows:

2π/B = 3

B = 2π/3.

The function is at it's midline at the origin, hence it has no phase shift, and thus the equation is given as follows:

y = 2sin(2πx/3) - 4.

More can be learned about trigonometric functions at brainly.com/question/21558626

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Joshua borrowed $1000 from his friend and paid him back $1050 in six months. What simple annual interest did Joshua pay his friend?

Answers

Answer:

80 dollars is the correct answer

Answer:

Step-by-step explanation:

1050=1000(1+.5*i)

i= 10%

Find the odds for and the odds against the event rolling a fair die and getting a 1,a4,a3 or 5

Answers

Answer:

Step-by-step explanation:

Assuming we're rolling a cube die with 6 sides.

Odds for rolling any of 1, 4, 3, or 5 has four possible successes

4/6 = 2/3

Odds for NOT rolling any of 1, 4, 3, or 5 has two possible successes, 2 and 6

2/6 = 1/3

Ahh can someone helpppp

Answers

X= 2, x= 2.5 and x= 7

Can someone explain it step by step ?

Answers

Answer:

1. (x - 1) × (x + 3)

2. x = 3 and y = -2

Step-by-step explanation:

x² + 2x - 32x + 3y = 0; y = 3x - 11

rewrite the equation:

y = 3x - 11; 2x + 3y = 0

solve y = 3x - 11 for the y:

y = 3x - 11

substitute 3x - 11 for y in 2x + 3y = 0;

2x + 3y = 0;

2x + 3y = 0

2x + 3 (3x - 11) = 0

11x - 33 = 0 (simplify both sides of the equation)

11x - 33 + 33 = 0 + 33 (add 33 to both sides)

11x = 33

11x/11 = 33/11 (divide both sides by 11)

x = 3

subtitute 3 for x in y = 3x - 11

y = 3x - 11

y = (3)×(3) - 11

y = -2

I showed one equation because the other is self explanatory, hope this helps.

Round 0.00359 to the nearest ten-thousandth.

Answers

Answer:

0.0036 !

Step-by-step explanation:

Give brainliest please :)

0.00359, when rounded to nearest thousandth results in 0.0036.

What is Rounding Off?

Rounding off means a number is made simpler by keeping its value intact but closer to the next number. It is done for whole numbers, and for decimals at various places of hundreds, tens, tenths, etc. Rounding off numbers is done to preserve the significant figures.

Given, value to be rounded is : 0.00359

Since, 1 ten thousands = 10000 (104). So, 1 ten thousandth = 0.0001 (10-4)

Therefore, while rounding to nearest ten thousandth, we round the fractional part(or decimal part) upto 4 digits.

Here, In 0.00359, the digit after ten thousandth place is 9, which is (equal to or greater) than 5. So, 5 can be rounded to 6.

Hence, finally, 0.00359, when rounded to nearest thousandth results in 0.0036

Learn more about rounding off rules here:

https://brainly.com/question/28673593

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An isolates right triangle has a hypotenuse of 6. Find the length of the leg. Round to the nearest tenth.

Answers

Hypotenuse of the ∆ = 6Given that it is an isosceles right triangle.So, its opposite sides will be equal.Therefore, the height of the ∆ = the length of the leg of the ∆Let the length of the leg be x.In the right triangle,[tex] {x}^{2} + {x}^{2} = {6}^{2} \: \: \: (by \: \: pythagoras \: \: \: theorem) \\ = > {2x}^{2} = 36 \\ = > {x}^{2} = \frac{36}{2} \\ = > {x}^{2} = 18 \\ = > x = \sqrt{18} \\ = > x = \sqrt{2 \times 3 \times 3} \\ = > x = 3 \sqrt{2 } \\ = > x = 4 .2[/tex]

Answer:

The length of the leg is 4.2 units.

Hope you could get an idea from it.

Doubt clarification - use comment section.

which equation is the inverse of y=7x^2-10

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

I need help ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

A football team needs £465 to buy a new kit.
They raise £52.45 by holding a cake sale.
How much more money do they need to raise?

Answers

answer: 412.55£

explanation: 465-52.45 = 412.55

465 - 52.45 = 412.55

P= ?????????
Pls help and explain

Answers

Check the picture below.

Create (or find) mathematical examples of the following;

1. Equation

2. Expression

3. Slope-Intercept Form

4. Slope Formula

5. Scientific Notation

6. Point-Slope Form

Answers

Answer:

Equation

2+5=9

Other i don't know

Which is a recursive formula for this geometric sequence? -320, -80, -20, -5, . . .

Answers

The recursive formula for the geometric sequence is:

[tex]f(n) = \frac{1}{4}f(n - 1), f(1) = -320[/tex]

What is a geometric sequence?A geometric sequence is a sequence in which the coefficient of consecutive terms is always the same, called common ratio q.

The recursive equation for a geometric sequence is:

[tex]f(n) = qf(n - 1)[/tex]

With f(1) as the first term.

In this problem, the sequence is: {-320, -80, -20, -5, . . .}

The first term is [tex]f(1) = -320[/tex].The common ratio is [tex]q = \frac{-80}{-320} = \frac{1}{4}[/tex]

Hence, the recursive equation is:

[tex]f(n) = \frac{1}{4}f(n - 1), f(1) = -320[/tex]

You can learn more about geometric sequence at https://brainly.com/question/11847927

The required recursive formula is expressed as [tex]a_{n-1}=-320(\frac{1}{4} )^n[/tex]

Geometric progression

The required recursive formula is expressed as [tex]a_{n-1}=-320(\frac{1}{4} )^n[/tex]

n the following sequence -320, -80, -20, -5,...

The The required recursive formula is expressed as [tex]a_{n-1}=-320(\frac{1}{4} )^n[/tex]is given as:

r = -80/-320 = -20/-80 = 1/4The first term = -320

The required recursive formula is expressed as [tex]a_{n-1}=-320(\frac{1}{4} )^n[/tex]

Learn more on geometric functions here: https://brainly.com/question/222209

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