How do you factor the expression #2x^2+ 5x + 3#?

Answers

Answer 1

Suggest using the quadratic formula here (altho' other methods would work):

a = 2; b = 5; c = 3.

-5 plus or minus sqrt( 25-4(2)(3) )
Then x = ----------------------------------------------
2(2)
-5 plus or minus sqrt (1) -5 plus or minus 1
= -------------------------------------- = --------------------------
4 4

-1 is one root, so x+1 is one factor. Can you find the other root and factor?

Related Questions

20 POINTS!

Verify the identity.

Answers

[tex]\dfrac{\cot x}{1+\csc x}=\dfrac{\csc x-1}{\cot x}\\\\L_s=\dfrac{\cos x}{\sin x}:\left(1+\dfrac{1}{\sin x}\right)=\dfrac{\cos x}{\sin x}:\left(\dfrac{\sin x}{\sin x}+\dfrac{1}{\sin x}\right)\\\\=\dfrac{\cos x}{\sin x}:\dfrac{\sin x+1}{\sin x}=\dfrac{\cos x}{\sin x}\cdot\dfrac{\sin x}{\sin x+1}=\dfrac{\cos x}{\sin x+1}[/tex]

[tex]R_s=\left(\dfrac{1}{\sin x}-1\right):\dfrac{\cos x}{\sin x}=\left(\dfrac{1}{\sin x}-\dfrac{\sin x}{\sin x}\right)\cdot\dfrac{\sin x}{\cos x}\\\\=\dfrac{1-\sin x}{\sin x}\cdot\dfrac{\sin x}{\cos x}=\dfrac{1-\sin x}{\cos x}\cdot\dfrac{1+\sin x}{1+\sin x}=\dfrac{1-\sin^2x}{\cos x(1+\sin x)}\\\\=\dfrac{\cos^2x}{\cos x(1+\sin x)}=\dfrac{\cos x}{1+\sin x} \\\\L_s=R_s[/tex]

[tex]Used:\\\csc x=\dfrac{1}{\sin x}\\\\\cot x=\dfrac{\cos x}{\sin x}\\\\\sin^2x+\cos^2x=1\to\cos^2x=1-\sin^2x\\\\(a-b)(a+b)=a^2-b^2[/tex]

Select the property that allows the statement 10 = y to be written y = 10.

Commutative - addition

Distributive

Associative - multiplication

Symmetric

Commutative - multiplication

Associative - addition

Identity - addition

Answers

Hello!

This is the symmetric property

Hope this helps!

Answer:

The property that allows the statement 10 = y to be written y = 10 is:

Symmetric

Step-by-step explanation:

We know that for any set A. if a and b are two elements of the set A.

Then if a is related to b by some relation then by the symmetric property b must be related to a by the same property.

Here 10 is related to y by the equality relation.

i.e. 10=y

Hence, by the symmetric property we have that y must be related to 10 by the same equality relation.

i.e. y=10

Using a straightedge, or using technology, sketch an obtuse, scalene triangle. Make sure to include your sketch in your answer.

Answers

Obtuse angles measure more than 90 degrees, scalene angles have three different side lengths. Would you like for me to include angle measure in the sketch?

A single 6-sided dice is being rolled. What is the probability of rolling a 5 or an odd number?

Answers

S = sample space
S = set of all possible outcomes
S = {1,2,3,4,5,6}

E = event space
E = set of items we want to happen (rolling a 5, or rolling an odd number)
E = {1, 3, 5}
note: the event of "rolling a 5" is a subset of "rolling an odd number" because 5 is odd

n(S) = number of items in the sample space
n(S) = 6

n(E) = number of items in event space
n(E) = 3

Divide the values to get the probability
P(E) = n(E)/n(S)
P(E) = 3/6
P(E) = 1/2
P(E) = 0.50
P(E) = 50%

The answer in fraction form is 1/2
The answer in decimal form is 0.50
The answer as a percentage is 50%
These three values all represent the same idea, just written in different forms.

note: writing "P(E)" means "the probability of event E occurring", which I've defined as the event space above

Which of the following have the same value as the fraction below?

8/5 A.

Check all that apply.

A. 2.20
B. 220%
C. 1.60
D. 160%

Answers

The answers are both C. 1.60 and D. 160%

C. And D. I thing this is correct

What is the value of x in the equation x + 10 = 13?

Answers

The answer is x=3 Your Welcome!

that is a really hard question, maybe 3? Cx

Suppose a triangle has 3,4, and 5 sides.Which of the following must be true

Answers

Answer:

A. The triangle in question is a right triangle

Step-by-step explanation:

find the solution of this system of equations
-6x-2y=8
7x-2y=-5

Answers

Photo math said that the answer is (x, y)= (-1, -1)

How do you know the sum of a positive and negative integer will be negative?

Answers

Um, you don't. The sum of a positive and a negative integer can be positive:

[tex]8+(-3)=+5[/tex]

If what you're asking is, under what condition will the sum of a positive and negative be negative, then it's when the absolute value of the negative number is greater than the positive number. For example:

positive number: 8
negative number: -10

[tex]8+(-10)=-2[/tex]

This sum is negative. Note that [tex]\mid{-10}\mid\ \textgreater \ 8[/tex].

Item 18 A spherical ball with a volume of 972π in.3 is packaged in a box that is in the shape of a cube. The edge length of the box is equal to the diameter of the ball. What is the volume of the box?

Answers

Volume of the given box is 5832 in³

Volume of the cube:

Given a spherical ball with a volume of 972π in.³,

Since the volume of a sphere is (4/3)πr³, we can find that the radius of the sphere is 9 inches.

The edge length of the cube (box) is twice the radius (diameter of the sphere), so the edge length of the cube is equal to 18 inches.

The volume of the cube is then (18³) in³

Volume of the cube = 5832 in³

a glass jar contains 1 red, 3 green, 2 blue, and 4 yellow marbles. if a single marble is chosen at random from the jar, what is the probability that it is red

Answers

[tex] \frac{1}{10} [/tex]

The probability of a red marble being chose is 10%

A basket contains the following pieces of fruit: 3 apples, 2 oranges, 2 bananas, 2 pears, and 5 peaches. Jack picks a fruit at random and does not replace it. Then Bethany picks a fruit at random. What is the probability that Jack gets a peach and Bethany gets an orange?

Answers

Hello!

You have to find the probabilities of them happening separately

To do this you do the amount of favorable outcomes over the total amount of outcomes

3 + 2 + 2 + 2 + 5 = 14 total fruit

The chance of Jack getting a peach is 5 / 14

The chance of Bethany getting an orange is 2 / 13 because Jack did not put the fruit back in so their is one less to choose from

You multiply the two probabilities to find the probability of them happening in a row

5/14 * 2/13 = 5/91

The answer is 5/91

Hope this helps!

5/14 × 2/13 = 10/182

simplify by 2

10/182 ÷ 2/2

5/91

5 over 91

You fly a hot air balloon 1.5 miles above the ground. What is the measure of BD⌢, the portion of Earth that you can see? Round your answer to the nearest tenth. (Earth's radius is approximately 4000 miles.)

Answers

Answer:

3.1

Step-by-step explanation:

If you are doing this for big ideas, the answer ended up being 3.1

I'm sorry if you wanted the work, I found the answer from something else that didn't show the work but this was the correct answer...

Final answer:

To find the measure of BD⌓, the visible portion of Earth's surface from a hot air balloon 1.5 miles above the ground, convert the height to kilometers and use the formula D = 112.88 km × √h to get the distance to the horizon, which is about 175.4 km. Then, calculate the semicircular distance visible by using C/2 = (π × D) / 2, which results in approximately 276.1 km for the measure of BD⌓.

Explanation:

To calculate the measure of BD⌓, the portion of Earth's surface that is visible from a hot air balloon 1.5 miles above the ground, you can use the formula for the distance to the horizon, given as D = 112.88 km × √h, where h is the height above the Earth's surface. In this case, we must convert the height of 1.5 miles to kilometers before applying the formula, as the formula uses kilometers.

The conversion from miles to kilometers is 1 mile = 1.60934 kilometers, so 1.5 miles is approximately 2.414 km.

Inserting h = 2.414 km into the formula, we get:

D = 112.88 km × √2.414

D = 112.88 km × 1.5535 (approx)

D ≈ 175.4 km (rounded to the nearest tenth)

This is the straight-line distance to the horizon. To find the measure of the arc BD, which is the portion of the Earth's surface visible, we can treat this distance as the radius of a circle and calculate the circumference. However, since we are only looking at the visible part, which is a semicircle, we use half of the circumference C = π × D.

The measure of BD⌓ is therefore approximately:

C/2 = (π × 175.4 km) / 2

C/2 ≈ 276.1 km

Thus, the measure of BD⌓ to the nearest tenth is 276.1 km.

Find the equation of the line.

A) y= -3/2 x + 1

B) y= -2/3 x - 1

C) y= 2/3 x + 1

D) y= 3/2 x - 1

Answers

It’s y=2/3x+1 that’s the equation of the line.

Hope this helps

Answer:

It’s y=2/3x+1 that’s the equation of the line.

Step-by-step explanation:

The difference of a number and 8 is the same as 34 less the number. find the number.

Answers

The difference of a number and 8 is (n-8).
34 less the number is 34-n.

n-8=34-n
2n=34+8
2n=42
n=21

Final answer:

The question is a simple algebra problem. By setting up and solving the equation 'x - 8 = 34 - x', we find that the number is 21.

Explanation:

The subject of this question is algebra, and involves setting up and solving an equation. Let's denote the unknown number as 'x'. Following the question, we can set up the equation as 'x - 8 = 34 - x'.

To solve the equation, let's add 'x' to both sides to get 2x - 8 = 34. Then, add 8 to both sides to get 2x = 42. Finally, divide each side by 2, so that 'x = 21'.

So, the number that satisfies the equation is 21.

Learn more about Algebra here:

https://brainly.com/question/24875240

#SPJ3

What is the positive solution of x2 – 36 = 5x?

Answers

Answer:

The positive solution is x=9

Step-by-step explanation:

Given the equation

[tex]x^2-36=5x[/tex]

we have to find the positive solution of above equation.

[tex]Equation: x^2-5x-36=0[/tex]

By splitting middle-term method

[tex]x^2-5x-36=0[/tex]

[tex]x^2-9x+4x-36=0[/tex]

[tex]x(x-9)+4(x-9)=0[/tex]

[tex](x+4)(x-9)=0[/tex]

[tex]x+4=0, x-9=0[/tex]

The solution is x=-4 and x=9

Hence, the positive solution is x=9

A painter is placing a ladder to reach the third story window, which is 12 feet above the ground and makes an angle of 80 degrees.how far out from the building does the base of the ladder need to be positioned

Answers

we know that
tan ∅=opposite side angle ∅/adjacent side angle ∅
adjacent side angle ∅=opposite side angle/tan ∅

in this problem
see the attached figure to better understand the problem
angle ∅=80°
opposite side angle ∅=12 ft (AB)
adjacent side angle ∅=? (AC)
adjacent side angle ∅=12/tan 80°------> 2.12 ft

the answer is
2.12 ft

Find the equation of the straight line passing through the point (0, 2) which is perpendicular to the line

y = 1/4x + 5

Answers

General Equation of a linear line : y = mx + b

Find the slope:
y = 1/4 x + 5
Slope = 1/4
Slope of perpendicular line = -4

Substitute m = -4 into the equation:
⇒ y = -4x + b

Find y-intercept:
At point (0, 2) ⇒ y-intercept = 2

Substitute b = 2 into the equation
y = -4x + 2

Answer: y = 4x + 2

Answer:

y=-4x+2

Step-by-step explanation:

The line passes through (0,2), so chuck these numbers in and you get a value of 2 for c. If you're sharp, you might spot that this point is the y-intercept of the line since the x- coordinate is 0, this point is on the Y-axis, and you don't even have to throw numbers in.

Therefore the equation of the line is:

y = -4x + 2

Hope that was clear!

How do I simplify this expression

Answers

(4x - 3)(x + 5)
= 4x(x + 5) - 3(x + 5)
= 4x^2 + 20x - 3x - 15
= 4x^2 + 17x - 15 Answer

The data shows the number of grams of fat found in 9 different health bars.12, 14, 16, 16.5, 11, 18, 18, 14, 20 What is the IQR (interquartile range) for the data?
9
5
16
18

Answers

The interquartile range (IQR) for the given health bar fat content data set is 5 grams, calculated by subtracting the first quartile (13) from the third quartile (18).

To calculate the interquartile range (IQR) of the given health bar data set, first, we must organize the numbers in ascending order: 11, 12, 14, 14, 16, 16.5, 18, 18, 20. The IQR is the difference between the third quartile (Q3) and the first quartile (Q1).

Find the median (the middle value) of the dataset, which will also serve as the second quartile (Q2). The median of the dataset here is 16.

To find Q1, calculate the median of the lower half of the data (not including the median of the dataset if your dataset has an odd number of values). So the lower half of the data is 11, 12, 14, 14, and the median of this is 13.

To find Q3, calculate the median of the upper half of the data. The upper half following our median is 16.5, 18, 18, 20, with a median value of 18.

The IQR is Q3 - Q1, which is 18 - 13 = 5.

Thus, the IQR for the health bars' fat content data is 5 grams.

A person who is 55 feet tall is standing 168168 feet from the base of a tree, and the tree casts a 180180 foot shadow. the person's shadow is 1212 feet in length. what is the height of the tree?

Answers

121255 ft tall right

If 75% of the students in Toby’s grade voted, how many students are in Toby’s grade?

Answers

Answer:

The total number of students in Toby's grade is 200.

Answer:number of students who voted= 75%= 150

75% of total number of students= 150

The total number of students in Toby's grade is 200.

Step-by-step explanation:

What is the answer? Please help.

Answers

The answer is: " x = 5, and -1 " .
_______________________________________________

Explanation:
_______________________________________________
Given:
_______________________________________________

(x − 2) = √(2x + 1) ;

→ "Square" each side of the equation; that is, raised EACH SIDE of the equation to the power of "2" ; to get rid of the "radical" ; as follows:
_______________________________________________

[(x - 2)]² = [ √(2x + 1) ] ² ;

to get:

→ (x - 2)² = (2x - 1) ;

Expand the " (x - 2)² " ;

→ (x - 2)(x -2) = ?

NOTE: (a + b)(c + d) = ac + ad + bd .

→ = (x * x) + (x * -2) + (-2 * x) + (-2 * -2) ;

= (x²) + (-2x) + (-2x) + (4) ;

= x² − 2x − 2x + 4 ;

= x² − 4x + 4 ;
______________________________________________
Now, rewrite the entire question:

→ (x − 2)² = (2x − 1) ;

→ as follows:
______________________________________________

→ " x² − 4x + 4 = 2x − 1 " ;

Now, subtract "2x" from each side of the equation;
& add "1" to each side of the equation:

→ " x² − 4x + 4 − 2x + 1 = 2x − 1 − 2x + 1 " ;

to get:

→ " x² − 6x + 5 = 0 " ; Solve for "x" ;

Let us if : " x² − 6x + 5 " can be factors:
_____________________________________
What factors of "positive 5" ; add up to "-6" ;

-5 ,-1 ; → -5 + (-1) = - 6; YES.

5, 1 ; → 5 + 1 = 6 ; NO.

_____________________________________

So, we have: " (x − 5) (x − 1) = 0 " .

x = 5, and -1 .
_________________________________________

If the selling price is $18 and the markup is 33% what is the dollar market

Answers

that cost will be $23.94 in the dollar market

Megan uses a credit card with a 24.9% APR compounded monthly to pay for car repairs totaling $583.75. She can pay $240 per month on the card. What will the total cost of this purchase be

Answers

It is convenient to use a spreadsheet to compute the finance charge and the new balance each month. The graphic here shows the beginning balance and finance charge for each of the 3 months it will take Megan to pay off the purchase.

Her total expense is $605.80.

the correct answer is $605.80

What is the value of c when the expression 21.2x + c is equivalent to 5.3(4x − 2.6)?

Answers

Hi there! The answer is c = - 13.78

To find our answer we need to work out the parenthesis. This is for instance possible using rainbow technique.

[tex]5.3(4x - 2.6) = \\ 5.3 \times 4x - 5.3 \times 2.6 = \\ 21.2x - 13.78[/tex]

Therefore the value of c = - 13.78.
~ Hope this helps you!

5.3(4x - 2.6) = 21.2x - 13.78
Comparing with 21.2x + c:-
the value of c = -13.78 Answer

What is the slope of a line that is parallel to the line y = x + 2?

Answers

y = mx +c

y = x + 2
⇒ slope = 1
⇒Slope of the parallel line = 1

Answer: 1

Answer:

I’m going to assume you didn’t put the 3/4x in your equation, if you had, the answer would’ve been 3/4.

Step-by-step explanation:

REMEMBER

If the equation is parallel, it will have the same slope as the other equation parallel to it.

Please help me out here.

Answers

An exponent rule that applies to this scenario:

When you multiply two exponents with the same base together, you can add the indexes together. For example, if you had y * y², you could make it y³, by adding the indexes of 2 and 1.

In this scenario, you can look at the last choice, where it has [tex] x^{9} [/tex] * x. You add the indexes of 9 and 1, to get [tex] \sqrt[3]{ x^{10} } [/tex]

That's equivalent to the equation given, so your answer would be the last choice.

suppose you deposit 1,000 ina savings account that pays interest at an annual rate of 5%. if no money is added or withdrawn from the account answer the following questions. How much money will be in the account after 3 years? How much will be in the account after 18 years? How many years will it take for the account to contain 1,500? How many years will it take for the account to contain 2,000?

Answers

After three years: $1000(1+0.05)^3 = $1157.63

Time req'd for amount to reach $1500 from $1000:

1500=1000(1+0.05)^t, or 1.5=1.05^t
ln 1.5
ln 1.5 = t ln 1.05, so that t = ------------ = 8.31 years, or 8 yr 3 3/4 months
ln 1.05

You roll a number cube and flip a coin. find the probability of rolling an even number and flipping heads. write your answer as a fraction in simplest form.

Answers

Supposing that the number are 1-6 there are 3 even numbers, so the probability to roll an even number is 3/6=1/2. Probability of flipping head is 1/2 so combined probability=1/2×1/2=1/4.

Hope this helped!

Final answer:

To calculate the combined probability of rolling an even number on a number cube and flipping heads on a coin, you multiply the separate probabilities of each event, which are 1/2 and 1/2 respectively, resulting in a combined probability of 1/4.

Explanation:

The probability of rolling an even number on a number cube (which is a standard six-sided die) is 3 out of 6 since there are three even numbers (2, 4, 6) and six possible outcomes overall. This simplifies to 1/2. The probability of flipping heads on a coin is 1/2 since there are two possible outcomes, heads or tails, and both are equally likely if the coin is fair.

To find the combined probability of two independent events (rolling an even number and flipping heads), you multiply the probabilities of each event together. So, the probability of rolling an even number and flipping heads is 1/2 (for the number cube) times 1/2 (for the coin), which equals 1/4 or 25%.

In the simplest form, the fraction is written as 1/4.

Other Questions

if BAD = 10, DAC = 11 and CGI = 22 what is the value of OCCAM? Which was the goal the 1960s counterculture Match the definition to the term.1.a verb functioning as a nounpredicate2.a subordinate clause which modifies a noungerund3.the verb of a clausepossessive case4.a word which joins words, phrases, or clausesadjective clause5.shows ownershiptransitive verb6.transfers action to an objectconjunctionPredicate GerundPossessive Case Adjective Case Transitive VerbConjunction The amount of money in Nadias savings account is represented by the recursive formula mc010-1.jpg. If mc010-2.jpg, what are the first two numbers in the sequence? $25.36, $75.99 $50.00, $101.25 $101.25, $153.78 $75.99, $127.89 Which of the biomolecules below includes a polydentate ligand called a porphyrin? hemoglobin chlorophyll cytochrome c carbonic anhydrase? Which of the following obstacles would western settlers have NOT encountered on the waterways A). Swift currents and sandbarsB). Fire aboard steamshipsC). Debris and other hazardsD). Cost of journey Name 3 problems in need of Reconstrustion after the Civil War. if 20 students ride on your bus and two fifth of them pack there lunches how many of them didnt pack there lunch Solar radiation falls on earth's surface at a rate of 1900 w/m2 . assuming that the radiation has an average wavelength of 560 nm, how many photons per square meter per second fall on the surfaces? the speed of light is 3 108 m/s and planck's constant is 6.62607 1034 j s. answer in units of photon/m2 s. The number of nails of a given length is normally distributed with a mean length of 5.00 in. and a standard deviation of 0.03 in. Find the number of nails in a bag of 120 that are less than 4.94 in. long. State constitutions are regularly amended to include policy decisions. Why is this so? What made the dictator cincinnatus a hero of the roman republic? Which feature of presentation software is located under the Insert tab? Themes Spell Check Shapes Transitions How did the missouri compromise help settle the issue of slavery in the western territories? The director of sales for a large company would like to present quarterly financial information from a computer to an audience of more than one thousand employees. These employees gather in an auditorium at the end of each quarter. Which of the following technologies would be the most useful to him?A.) RFID B.)Smart card C.)Touch screen computer D.)Electronic Paper Display The unique mixture of qualities that distinguish you from other is known as youra) personalityb) assertivenessc) resiliencyd) self-esteem Which graph models the equation y = 3.5x? A rectangle that has an area of 357 square inches is 17 inches wide. Using the formula for area (A=lw), how long is the rectangle? a. 21 inches b. 340 inches c. 20 inches d. 15 inches I need help does anyone know the answer to this question?During the Cold War, the United States did what they could to support smaller countries in choosing a capitalist democracy over communism as a form of government. Meanwhile, the Soviet Union urged smaller countries to embrace communism. What did each of the two superpowers do to counter the others influence on smaller, struggling countries?Both countries pressured their neighbors to form alliances against any smaller countries--forcing these weaker nations to seek help from a superpower.Both the United States and the Soviet Union used the threat of military intervention to control smaller, struggling countries.Both superpowers provided financial aid to smaller countries, hoping to sway new nations to accept their own ideals.Both the U.S. and Soviets offered nuclear weapons and technology to smaller countries that adopted their own form of government. (09.01 LC) Look at the figure below: A circle is shown with the center O. OP is a segment joining center O to a point P on the circle. MN is a line touching the cir Which is the tangent to the circle? (6 points) Segment OP Line ST Line MN Segment QR