Factor each expression.
4 x²+17 x+15

Answers

Answer 1

After solving, the factors of equation 4x²+17x+15 are:

(x+3) and (4x+5)

What clearly is an equation?An equation is a mathematical statement composed of two representations joined by an equal sign.An example of an equation is 3x - 5 = 16.After solving this equation, we obtain the value for the variable x as x = 7.

So,

Given the equation: 4x²+17x+15

Then,

4x²+17x+154x²+x(  +  )+154x²+x(12+5)+154x²+12x+5x+154x(x+3)+5(x+3)

Factors are: (x+3) and (4x+5)

Therefore, after solving, the factors of equation 4x²+17x+15 are:

(x+3) and (4x+5)

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Related Questions

xv plus 6x negative 5 equals 0

Answers

After converting the mathematical statement - xv plus 6x negative 5 equals 0 into mathematical equation, we get -

x = 5/(v + 6).

What is linear equation?

An equation of the form ax + b = 0 such that a ≠ 0 is called linear equation in one variable. The graph of this equation represents a straight line.

Given is a linear equation in the form of a mathematical statement -

xv plus 6x negative 5 equals 0.

In order to solve for x, we will first convert this mathematical statement into a linear mathematical equation. The mathematical equation can be written as -

xv + 6x - 5 = 0

We will solve this question using transpose method.

xv + 6x = 5

x(v + 6) = 5

x = 5/(v + 6)

Therefore, after converting the mathematical statement - xv plus 6x negative 5 equals 0 into mathematical equation, we get -

x = 5/(v + 6)

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Please help I need this in an hour

Answers

X=4
: 21=[(3x+1)+2x]
: 21-1 =3x+2x
: 20 =5x
: x= 20/5
: x=4
WX: 4x2
: 8

XY: 4x3+1
: 12 +1
:13

XZ:8+3x4+1
:9+12
: 21

order the following rational and irrational numbers from least to greatest
1.25,square root of 2,1 3/8, and 1 3/5

Answers

The ordering of the numbers will be 1.25, 1 3/8, ✓2, 1 3/5 and 1.875.

How to illustrate the information?

It should be noted that ✓2 = 1.414

It should be noted that 1 3/8 = 1.375

It should be noted that 1 3/5 = 1.6

The other numbers given are 1.25 and 1.875

Therefore, the ordering of the numbers will be 1.25, 1 3/8, ✓2, 1 3/5 and 1.875.

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how many gallons are in a liter again i forgot

Answers

Answer:

The exact conversion rates between Liters and Gallons is as follows...

1 Liter = 0.264 Gallons

and

1 Gallon = 3.785 Liters

1 gallon is 3.785 in liters!

A tortoise moves
at about 0.05
meters per
second. How
many
centimeters per
second does a
tortoise move?

Answers

Answer:

0.05 metrs = 5 cetimeters

Step-by-step explanation:

1 meter = 100 centimeters

0.05 meters = 0.05 * 100 = 5 centimeters

At a baseball game, 35% of people attending were supporting the home team, while 65% were supporting the visiting team. If 735 people attending the game supported the home team, what was the total number of people attending the game?

Answers

Answer:

1300

Step-by-step explanation:

455 divided by 35%

= 455 x 100/35

= 455 x 20/7

= 65 x 20

= 1300

The total number of people attending the game is 2100.

Given that, at a baseball game, 35% of people attending were supporting the home team, while 65% were supporting the visiting team.

What is percentage?

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Let the total number of people attending the game be x.

Given, 735 people attending the game supported the home team.

Now, 35% of x=735

⇒ 35/100 × x=735

⇒ 35x=73500

⇒ x=73500/35

⇒ x=2100

Therefore, the total number of people attending the game is 2100.

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Read each question. Then write the letter of the correct answer on your paper.What is the product of ∛3 and 5√3 ?
(A) 9√3 (B) 8√9 (C) 15√3⁸ (D) 9√3¹⁵

Answers

The product of ∛3 and 5√3 is 15√3⁸ (Option C).

This question can be easily solved by using the concept of roots. The two terms mentioned in the question are ∛3 ( cubic root of 3 ) and  5√3 (5th root of 3 ). This question can be solved in 4 easy steps

Step 1 : Identify the power of the root and take LCM of those numbers.

In this case, the powers of root for ∛3 and 5√3 are 3 and 5, respectively. Take LCM of 3 and 5.

LCM = 3 x 5 = 15

=> We get the LCM of 3 and 5 as 15.

Step 2 : Write the given numbers in the form of fractional powers

∛3 = 3¹ˡ³  => The power of 3 = 1/3

5√3 = 3¹ˡ⁵  => The power of 5 = 1/5

Step 3 : Multiply and divide the powers of the base number ( in this case 3 ) with a number such that you get the denominator as the LCM ( in this case 15 )

1/3  can be multiplied and divided by 5 to get the denominator as 15

=> 1 * 5 / 3 * 5 = 5 /15

1/5  can be multiplied and divided by 3 to get the denominator as 15

=> 1 * 3 / 5 * 3 = 3 /15

Step 4 : Find the product of the two terms

15√3⁵ x 15√3³ = 15√3³⁺⁵ = 15√3⁸

Therefore, using the concept of roots and fractions, we get the product of ∛3 and 5√3 as 15√3⁸.

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Do the math: the price of iron ore can be measured per ton. a ton is about the
weight of a cow. if the price of 1 ton of iron ore starts at $104 per ton with a
quantity demanded of 90 tons, then rises to $211 per ton, what is the new quantity
demanded at this price? assume the slope of the demand curve is -3.2 and the
y-intercept is $392. round your answer to the nearest tenth of a ton.

Answers

Answer:

Step-by-step explanation:

56.6 tons.

Based on the slope of the demand curve and the new price of iron ore, the new quantity demanded at the new price of $211 is 49.60 tons

What is the new equilibrium quantity demanded?

The equation given will allow us to find the new quantity demanded:

y = Mx + c

y = new quantity demanded

m = slope of the demand curve

x = change in price of iron ore

c = y intercept

Solving for the new quantity demanded at the new price gives:

= -3.2 x (211 - 104) + 392

= -342.40 + 392

= 49.60 tons

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write an expression that represents the phrase "one third the difference of 15 and a number"

Answers

Answer: 1/3-5(n)

Step-by-step explanation:

Please help!

Rebecca has twice as much money as Rachel. If Rebecca gives Rachel $60, then the two of them will have the same amount of money. How much money did Rebecca have originally?

A.
B.
C.
D.
E.​

Answers

Answer:

Rebecca originally had 240 dollars.

Step-by-step explanation:

Let's set B as Rebecca's money and C as Rachel's.

Rebecca has twice as much money as Rachel

B = 2C

If Rebecca gives Rachel $60, then the two of them will have the same amount of money

B - $60 = C + $60

let's combine the 2 by subtracting the second from the first

B - (B - $60) = 2C - (C + $60)

$60 = C - $60

$120 = C

so Rachel had 120 dollars.

Rebecca had twice as much, so 240 dollars.

If Rebecca gives $60 to Rachel, they have $180 each. Everything checks out.


What is the simplest form of the quotient √72 x⁵ y³ z⁸ / √3 x y²z² ?
(A) √24 x⁴ y z⁶
(C) 24 x⁴ y z⁶
(B) 2 x² z³ √6y
(D) 12 x² y z⁶

Answers

The simplest form of the quotient √72x⁵y³z⁸/√3xy²z² is (B) 2x²z³√6y.

What do we mean by simplest form?When the numerator and denominator have no common factors other than one, the fraction is in its simplest form. When the top and bottom cannot be any smaller while still being whole numbers, the fraction is in its simplest form. To simplify a fraction, divide the top and bottom numbers by the largest number that divides both numbers exactly (they must stay whole numbers).

So,

Given: 72x⁵y³z⁸/√3xy²z²

Then,

72x⁵y³z⁸/√3xy²z²Simplify the radical by dividing it into a product of known factors and assuming positive real numbers, which gives us:2x²z³√6y

Therefore, the simplest form of the quotient √72x⁵y³z⁸/√3xy²z² is (B) 2x²z³√6y.

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Use the Change of Base Formula to evaluate each expression.
log ₁₂20

Answers

The value of the expression log ₁₂20 is 4.33.

Given that the expression is log ₁₂20.

We are required to find the value of the expression by using the change of base formula.

The change of base theorem is used by a person when we have been given logarithm values with different bases.

(We know that [tex]log _{a} b[/tex]=log b/ log a)

The expression is log ₁₂20.

log ₁₂20=log 20/log 12          

Now we have to use values of log in the above expression to find its value.

=1.30/0.30

=4.33

Hence the value of the expression log ₁₂20 is 4.33.

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PLEASE ANSWER Quick in a game!
Slope of a line passing through
(1, 5) and (7, 9)?
-1/5
5/2
2/3
1/2

Answers

2/3 is the answer
y2-y1
———
x2-x1

so it would be
9-5
——-
7-1

which is 4/6 but if you simplify its 2/3

Answer:

Choice 3 (2/3)

Step-by-step explanation:

Slope is equal to the change in y over the change in x.

If we look at the two coordinates, we'll see that to get from (1, 5) to (7, 9), you need to move up 4 and to the right 6.

4/6 = 2/3, which matches the 3rd choice

Hope this helps

Rachel earns $6000 less than twice as much as Tom. Their two incomes total $48,000. How much does Rachel earn?

Answers

Answer:

30,000

Step-by-step explanation:

Add 6,000 to 48,000, which equals 54,000

You then divide 54,000 by three = 18,000

Multiply 18,000 by 2 = 36,000

Subtract 6,000 frome 36,000 = 30,000

*Please mark brainliest

(2x² + 3x³ - 3x²-
3x - 4x-3)÷(x-2)

Answers

The simplified form of the expression [tex]\frac{(2x^{2} +3x^{3} -3x^{2} -3x-4x-3)}{(x-2)}[/tex] is [tex]\frac{3x^{3}-x^{2} -7x-3 }{(x-2)}[/tex]

As per the question statement, we are provided with an expression  [tex]\frac{(2x^{2} +3x^{3} -3x^{2} -3x-4x-3)}{(x-2)}[/tex].

We are supposed to simplify the above mentioned expression.

To solve this question, let us simplify the expression, part by part, i.e., first, let us consider the numerator part which is

[2x² + 3x³ - 3x² -3x -4x - 3].

Here, it is clearly visible that the numerator expression consists of terms having same same variable but with different coefficients, such as

[2x², -(3x²)] and [-(3x), -(4x)]. Therefore, we can perform the mentioned operations on the like terms and thus simplify our numerator.

[tex][2x^{2} +(-3x^{2} )]=(2x^{2} -3x^{2} )=-(x^{2})\\[/tex]

And, [tex][(-3x) + (-4x)]=-(3x+4x)=-x(3+4)=-(7x)[/tex].

Hence, [tex](2x^{2} +3x^{3} -3x^{2} -3x-4x-3)=[+3x^{3}+(2x^{2} -3x^{2})-(3x+4x)-3]\\or, (2x^{2} +3x^{3} -3x^{2} -3x-4x-3)=[+3x^{3}+(-x^{2} )-7x-3]\\or, (2x^{2} +3x^{3} -3x^{2} -3x-4x-3)=(+3x^{3}-x^{2}-7x-3)\\[/tex]

And our denominator is (x - 2). Since, [2x² + 3x³ - 3x² -3x -4x - 3] does not equate to Zero for (x = 2), there (x - 2) is not a factor of the numerator, i.e., the numerator cannot be exactly divided by the denominator.

Therefore, the simplest form of our expression  [tex]\frac{(2x^{2} +3x^{3} -3x^{2} -3x-4x-3)}{(x-2)}[/tex] is [tex]\frac{3x^{3}-x^{2} -7x-3 }{(x-2)}[/tex].

Expressions: These are mathematical statements, that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.Like Terms: Terms having the same variable.

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Choose Yes or No to tell if the equation is true.

I'll give u brainliest and i'll do anything this is really important

Answers

Answer:

true,true,false,false

Step-by-step explanation:

true it's the amount of decimal places

true: same with this true

false: if it was 10^5 then yes but it's not

false: there is one too many 10s


Solve each equation. Round to the nearest ten-thousandth. 5x +3=12

Answers

the value of the given equation 5x +3=12 Round to the nearest ten-thousandth =   1.8000

What is rounding off?

In a given base, a round number is a number that ends with one or more "0s." So, 590 is more round than 592, but less round than 600. A round number is frequently interpreted in both technical and casual language to stand for a value or values close to the nominal value represented.

According to the given data:

given:- 5x +3=12

simplifying:

5x +3=12

5x = 12 - 3

5x  = 9

x = 9/5

x = 1.8000

the value of the given equation 5x +3=12 Round to the nearest ten-thousandth =   1.8000

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An elephant charged 13.3 meters on 15 seconds. At this rate, how far would the elephant go in one minute? (20 seconds = 1/3 minute)

Answers

Answer: 53.2 meters

Step-by-step explanation:

Since 15 seconds is 1/4 of 1 minute, multiply 13.3 by 4 to get 53.2.

30 POINTS! Question is on the attachment below :D
A. 35 in. x 17 in.
B. 36 in. x 18 in.
C. 35 in. x 18 in.
D. 36 in. x 17 in.

Answers

Answer:

B

Step-by-step explanation:

35 [tex]\frac{3}{4}[/tex] ≈ 36 ( to the nearest whole number

17 [tex]\frac{5}{6}[/tex] ≈ 18 ( to the nearest whole number )

then 36 in × 18 in

An item is regularly priced at $30. It is now priced at a discount of 70%
off the regular price. What is the price now?

Answers

I believe the answer is 18

If something is priced at 30$,then 70% off would make it 9.00$!


Write each equation in exponential form.
log₆6=1

Answers

Answer:

The answer to the given question is 6

Logarithmic scale: A measurement scale in which the position is marked using the logarithm of a value rather than the actual value.

A logarithmic equation includes a logarithm in the variable x.

An exponential equation is one in which the variable is represented by an exponent. A logarithmic equation is one in which the logarithm of a variable-containing expression is used.

For logarithmic equations, log b (x) = y is equivalent to b^y = x such that x > 0, b > 0 and b is not equal to 1.

In the given problem, b = 6, x = 6 and y = 1

b = 6

x = 6

y = 1

Substituting the values of b, x and y into the equation b^y = x;

6^(1) = 6

therefore, the value of the given equation log₆6=1 is 6

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PLEASE HELP!! DUE TODAY!! WILL MARK BRAINLIEST IF MULTIPLE PEOPLE RESPOND RIGHT AND FAST!
Question: The sets of numbers 6, 8, 10 and 5, 12, 13 are Pythagorean triples. Use what you know about the Pythagorean Theorem and explain or show why they are Pythagorean triples. Be sure to show your work for each set of triples! (5 points)

Answers

We know that 6, 8, 10 and 5, 12, 13 are Pythagorean triples.

The formula to see if a set of three numbers is a pythagorean triple is:

[tex]a^{2} +b^{2} =c^{2}[/tex]

For the first one, we can do

6^2 + 8^2 = 10^2 and see if it is true.

36 + 64 = 100, so this works.

The next one, we can do

5^2 + 12^2 = 13^2

25 + 144 = 169

This also works.

So in conclusion, using the formula, we can prove that they are both Pythagorean triples.

I hope this is clear to you, have a great day! :)

Step-by-step explanation:Given :Pythagorean triple number set 6,8,10 and 5,12,13To Find :Show why they are Pythagorean triple.Solution :

a = y² - x²

b = 2xy

c = x² + y²

where x and y are positive integers y > x

In Pythagorean triple number set 6,8,10

c² = a² + b²(10)² = (6)² + (8)²100 = 36 + 64100 = 100

In Pythagorean triple number set 5,12,13

c² = a² + b²13² = 5² + 12²169 = 25 + 144169 = 169

Show that k=(4 + 3j)/(5-j) can be rearranged to j =(5k - 4)/(3 + k)

Answers

Answer: f(x)=4

f(x)=√3x−4

f(x)=4x−5

Step-by-step explanation:

if p and q are the robots of the equation 3x^2 _ 16x + 2 = 0, find the value of p+q(1+ p).

Answers

Step-by-step explanation:

3x² - 16x + 2 = 0

ax² + bx + c = 0

a = 3 , b = -16 , c = 2

= p + q.(1 + p)

= p + q + p.q

= -b/a + c/a

= -(-16)/3 + 2/3

= (16 + 2)/3

= 18/3

= 6

Every Tuesday so far, I noticed that
Casey wears yellow to class. This
Tuesday she will probably wear yellow to
class. Is it inductive or deductive or a detachment or syllogism

Answers

Answer:

inductive

Step-by-step explanation:

vbkugu stottlxd5xlhlhclxylyyldydpdyxyo

5 5/6 divided by 3 1/6

Answers

5 5/6 divided by 3 1/6 is 35/19 or 1 16/19

let's firstly convert the mixed fractions to improper fractions and then divide.

[tex]\stackrel{mixed}{5\frac{5}{6}}\implies \cfrac{5\cdot 6+5}{6}\implies \stackrel{improper}{\cfrac{35}{6}} ~\hfill \stackrel{mixed}{3\frac{1}{6}}\implies \cfrac{3\cdot 6+1}{6}\implies \stackrel{improper}{\cfrac{19}{6}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{35}{6}\div \cfrac{19}{6}\implies \cfrac{35}{6}\cdot \cfrac{6}{19}\implies \cfrac{35}{19}\cdot \cfrac{6}{6}\implies \cfrac{35}{19}\cdot 1\implies 1\frac{16}{19}[/tex]

Please help me please help me

Answers

Answer:

Step-by-step explanation:

90 degree

How to find the Length of a triangle

Answers

Answer:

10

Step-by-step explanation:

it us a right triangle so we can use the equation

a^2 + b^2 = c^2

6^2 + 8^2 = c^2

36 + 64 = c^2

100 = c^2

10 = c


Write each expression as a single logarithm.
log₃4 + log₃y + log₃8 x

Answers

The expression log₃4 + log₃y + log₃8x can be written as [tex]log_{3}32xy[/tex] in  a single logarithm form.

Given that the expression is log₃4 + log₃y + log₃8 x.

We are told to write the expression as a single logarithm.

Change of base theorem is basically used when we have to find the log values having different bases from 10 as we have tables which tell the log values with base 10. We know that [tex]log_{a}b[/tex]=[tex]log_{x}b/log_{x}a[/tex] and

log mn=log m+log n.

The expression is log₃4 + log₃y + log₃8 x.

log₃4 + log₃y + log₃8x=[tex]log_{3}[/tex] (4*y)+  [tex]log_{3}[/tex] 8x

=[tex]log_{3}[/tex] (4*y*8x)

=[tex]log_{3}[/tex] 32xy

Hence the expression log₃4 + log₃y + log₃8x can be written as [tex]log_{3}32xy[/tex] in  a single logarithm form.

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A theater wants to take in at least $2,000 for a particular showing of a movie.
Children's tickets cost $5 each and adult tickets cost $10 each. Write an
inequality describing the number of tickets that will allow the theater to meet
their minimum. Let x = the number of children's tickets sold and y = the
number of adult tickets sold.

15xy 2000
5x+10y < 2000
5y + 10x ≥ 2000
5x+10y ≥ 2000

Answers

The inequality describing the number of tickets that allows the theater to meet their minimum will be 5x + 10y ≥ 2000. Then the correct option is D.

What is inequality?

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

A movie theater hopes to make at least $2,000 from a certain showing. Adult tickets are $10 each, while child tickets are $5 each.

Let x be the number of children's tickets sold and y be the number of adult tickets sold. Then the inequality is given as,

5x + 10y ≥ 2000

The inequality describing the number of tickets that allows the theater to meet their minimum will be 5x + 10y ≥ 2000. Then the correct option is D.

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Other Questions
On a quiz, a student factored 25x - 15x + 2 by grouping as follows. 25x - 15x + 2 = 25x5x - 10x + 2 = 5x(5x 1) 2(5x 1) This is the student's answer. He thought his answer was correct since it checked by multiplying. What went wrong? What is the correct factored form? Select the correct choice below and fill in the answer box(es) to complete your choice. A. The student did not factor the groups correctly. The correct factored form is B. The expression is the sum of two terms. He needs to factor out the common factor. The correct factored form is C. The pair of integers to write the middle term is not correct. The correct factored form is D. The sign between the two terms is not correct. The correct factored form is A shuttle bus slows to a stop with an average acceleration of -1.8 m/s^2. How long does it take the bus to slow down from 9.0 m/s to 0.0 m/s? Factor each expression. x-6 x+8 The characters ____ move the cursor to the next line when used within a println() statement A drop of medication is delivered to a patient every 45 s. if 5 drops of this medication occupy 1.0 ml, how many ml of the medication will be delivered in 15 minutes Escoge la mejor respuesta.Cul es un ejemplo de voseo?Cmo es?Cmo son?Cmo sos?Cmo eres? -32x-2 pls help i know i should know this which phrase best describes a chaparral Put the numbers in order from greatest to least. (photo down below) What is the slope of the line on the graph?Enter your answer in the box What is the constant of proportionality for the relationship between the number of laps and the number of hours? In their resting state, all body cells exhibit a resting membrane potential ranging from -50 to about +50 millivolts.Question 21 options: True False A fast train has a speed of 181 km/hr. Because its wheels have a limited grip to the railway, the train must not accelerate at more than 0.058g (where g = 9.81 m/s2) while turning, or it will derail. What is the smallest radius of curvature for the track that the train can tolerate? If there is a curve of radius 1.100 km, what speed must the train mantain to keep the acceleration at the limit? A cooler contains eleven bottles of sports drinks: three lemon-lime flavored, five orange-flavored, and three fruit-punch flavored. You randomly grab a bottle. It is a lemon-lime or a fruit punch.. What is a key difference between a federal government and a confederate government? A. In a federal government, state governments have the most power. In a confederate government, a central government has the most power. B. In a federal government, the national government and the states share power. In a confederate government, state governments have the most power. C. In a federal government, state governments have the most power. In a confederate government, the national government and the states share power. D. In a federal government, the central government has the most power. In a confederate government, the national government and the states are equal powers. Find the midpoint of points A(-5, 3) and B(5, -1) graphically.Plot the line segment AB by clicking twice on the graph.sStart over-109-8 7 6 5432 4yS3 456789 10 The Monroe Doctrine warned European powers that they must:OA. end their efforts to expand colonies in the Americas.OB. immediately abandon their colonies in the Caribbean.C. replace their monarchies with democratic governments.D. stop participating in the trading of enslaved people.SUBMITPlease very fast Fingerprints and footprints in the epidermis are created by dermal papillae present in the ________. Who is your favorite actor? Try not to answer with the actor you find most attractive, but focus instead on skill and talent. What draws you to this particular actor? Identify three traits of the actors performance that you believe set this actor apart from others and then provide examples from this actors work to illustrate those traits.**Please note that throughout this chapter, I use the word actor to refer to both male and female performers. Find a in degrees.Round to the nearest hundredth.