Factor the expression 3x^(2)+10x+8

Answers

Answer 1

Hello,

If we want to factor the expression, we have to solve

3x² + 10x + 8 = 0

a = 3 ; b = 10 ; c = 8

∆ = b² - 4ac = 10² - 4 × 3 × 8 = 4 > 0

x1 = (-b - √∆)/2a = (-10 - 2)/6 = -12/6 = -2

x2 = (-b + √∆)/2a = (-10 + 2)/6 = -8/6 = -4/3

Factor :

a (x - x1)(x - x2)

= 3(x + 2)(x + 4/3)

= (x + 2)(3x + 4)


Related Questions

Lattice Arena sold a total of 150 tickets to a basketball game. 90 of the tickets were sold to fans of the home team. What percent of the tickets were sold to fans of the home team?

Answers

Answer:
60%
Explanation:

60 percentage of the tickets were sold to fans of the home team.

What is percentage?

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.

To find the percentage of tickets sold to fans of the home team,

we need to divide the number of tickets sold to home team fans by the total number of tickets sold, and then multiply by 100 to convert the fraction to a percentage:

Percentage of tickets sold to home team fans = (Number of tickets sold to home team fans / Total number of tickets sold) x 100%

Number of tickets sold to home team fans = 90

Total number of tickets sold = 150

Percentage of tickets sold to home team fans = (90 / 150) x 100%

Percentage of tickets sold to home team fans = 0.6 x 100%

Percentage of tickets sold to home team fans = 60%

Therefore, 60% of the tickets were sold to fans of the home team.

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Five students in the chess club went to the state tournament. If 20% of the chess club went to the tournament, how many students are in the chess club?

Answers

Answer:

25 students are in the chess club

Step-by-step explanation:

100×5=500

500÷20=25

I hope it's correct:)

Answer:

25 students

and how?

its 2          5         S       T      U       D          E         N        T         S

Lamont spends $120 on groceries. This is 25% of the money he earns this week. How much does Lamont earn? Show your work

Answers

ANSWER:
Lamont Earns $480 a week

STEP BY STEP:
The easy way for the problem is to add 120 four times (120+120+120+120) to get 480. The reason this works is because 120 is 25% of what Lamont makes a week so adding it by itself 4 times will get you 100%, if that makes sence.

Hope that helps. :)

Lamont's total earnings this week come to be $480.

Lamont spends $120 on groceries and this is 25% of the money he earns this week.

This means, $120 = 25% of the total earnings of Lamont

Suppose total earnings =x

What is the percentage?

The percentage is the value per hundred.

25% of x= [tex]\frac{25*x}{100}=\frac{x}{4}[/tex]

Given [tex]\frac{x}{4} =120[/tex]

So, [tex]x=480[/tex]

So, his total earnings is $480.

Thus, Lamont's total earnings come to be $480.

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A diagonal path divides a square park in half. If the park is 50 yards on each side, how long is the path? A. 10 yd. B. 250 C. 50 yd. D. 5000

Answers

Answer:

B) 250

Step-by-step explanation:

Hope this helps!!

Answer: its 5000 i got it right

Step-by-step explanation:

increase 2 hour 30 minute by the ratio of 6:5​

Answers

Answer:

we get 180 minutes; this is equivalent to 3 hours

Step-by-step explanation:

Solving this problem is easier if we convert 2 hr 30 min to min:  150 min.

In the ratio 6:5, the 5 represents the 150 min and we need to determine how long the time interval will be if increased in this ratio.

We write and solve an equation of ratios:

6        x

--- = ------                          This becomes 5x = 900 through cross multiplication.

5     150

solving this for x, we get 180 minutes; this is equivalent to 3 hours.

The time taken should be 180 minutes or 3 hours.

Calculation of the time taken:

Since there is an increase of 2 hours 30 minutes by the ratio of 6:5​

So here we convert 2 hr 30 min so it comes 150 min.

Now the time taken should be

5x = 900

x = 150 minutes

hence, The time taken should be 180 minutes or 3 hours.

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someone please help

What is the slope of the line shown below?
10
A. 3
61 (1,5)
B. 2
Oh
61,-1)
O c. -3
10
15
O D. -2
-102

Answers

Answer:

A. 3

Step-by-step explanation:

The formula for slope is (y2-y1)/(x2-x1), for two points (x1,y1) and (x2,y2) on the line.

Our points are (-1,-1) and (1,5):

(5-(-1))/(1-(-1))

6/2

3

The slope of the line shown below is 3.

What is Slope?

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the

change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

We have,

Points from the graph (1, 5) and (-1,-1).

So, the slope of line

= (-1 - 5)/ (-1 - 1)

= -6 / (-2)

= 3

Thus, the slope of line is 3.

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sin (3x) dx = ?
find the integral

Answers

Answer:

[tex]\displaystyle \displaystyle \int {sin(3x)} \, dx = \frac{-cos(3x)}{3} + C[/tex]

General Formulas and Concepts:

Calculus

Antiderivatives - Integrals

Integration Constant C

Integration Property [Multiplied Constant]: [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]

Trig Integration: [tex]\displaystyle \int{sin(x)} \, dx = -cos(x) + C[/tex]

U-Substitution

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle \int {sin(3x)} \, dx[/tex]

Step 2: Identify Substitution Variables

u = 3x

du = 3dx

Step 3: Integrate

[Integral] Rewrite:                                                                                           [tex]\displaystyle \frac{1}{3}\int {3sin(3x)} \, dx[/tex][Integral] U-Substitution:                                                                                [tex]\displaystyle \frac{1}{3}\int {sin(u)} \, du[/tex][Integral] Trig Integration:                                                                              [tex]\displaystyle \frac{1}{3}[-cos(u)] + C[/tex][Expression] Multiply:                                                                                     [tex]\displaystyle \frac{-cos(u)}{3} + C[/tex][Expression] Back-Substitute:                                                                        [tex]\displaystyle \frac{-cos(3x)}{3} + C[/tex]

4/4 times 1/2 PLEASE HURRY ILL MARK BRAINLIEST

Answers

Answer: 1/2

Step-by-step explanation:4

4

×  

1

2

=  

1

2

Result in decimals: 0.5

Calculation steps:

4

4

×  

1

2

=  

4 × 1

4 × 2

=  

4

8

=  

4 ÷ 4

8 ÷ 4

=  

1

2

Further explanation

For the problem:

4

4

×  

1

2

= ?

Multiply all of the numerators by each other. Do the same with the denominators and form a new fraction with these values:

4 × 1

4 × 2

=  

4

8

The Greatest Common Factor (GCF) of 4 and 8 is 4. The result can be simplified by dividing both the numerator and denominator by 4.

4

8

=  

4 ÷ 4

8 ÷ 4

=  

1

2

The result is:

4

4

×  

1

2

=  

1

2

Answer:

1/2

Step-by-step explanation:

any expression divided by itself is 1

1×1/2

any expression multiplied by 1 remains the same

1/2

solve
(3r-1)(2r+2r+3)

Answers

ANSWER:
12r^2+5r-3

STEP BY STEP:
look at picture

A universitys freshman class has 8900 students. 3471 of those students are majoring in Engineering. What percentage of the frehman class are Engineering majors?

Answers

Answer:

39%

Step-by-step explanation:

The ratio of boys to girls In student council is 4 to 5. Students council has 18 members. How many are boys?

Answers

Answer:

Step-by-step explanation:

boy count is 1476

Explanation:

There is an important difference between the way counts are viewed in ratio to that in fractions.

The ratio of boys : girls

4

:

5

so you have 4 boys and 5 girls making the whole count

4

+

5

=

9

in its simplest form.

So to change the ratio proportion into fraction proportion we have:

boys

4

9

of the whole.

girls

5

9

of the whole.

It is given that the whole is 3321 therefore the count of boys is:

4

9

×

3321

=

1476

Which pair of points have equal x-coordinates?
no
B
5
37-8.5
8
+ 1 2 3 4 5 6 7 8 x
2
994019
5
6
S
O points Q and R
O points Q and T
points Rands
Opoints S and T

Answers

8 is the answer to the question

Answer:

option B

Step-by-step explanation:

I did it.


The temperature early in the morning is 15 °C. The temperature increases by 2 °C for every hour for the
next 5 hours. Write a function for the temperature in degrees Celsius.
f(h)=

Answers

wait don’t you just like times it by 2 and get the answer

A line passes through the point (8,-5) and has a slope of 3/2

Answers

Answer:

y=3/2x-17

Step-by-step explanation:

y-y1=m(x-x1)

y-(-5)=3/2(x-8)

y+5=3/2(x-8)

y=3/2x-24/2-5

y=3/2x-12-5

y=3/2x-17

Fifteen students were registered in Section 1 and 15 students were registered in Section 2 of a research course. They took the same midterm exam, and their exam scores were distributed as follows: Section 1: 89, 56, 45, 78, 98, 45, 55, 77, 88, 99, 98, 97, 54, 34, 94 Section 2: 77, 88, 87, 67, 98, 87, 55, 77, 45, 44, 88, 99, 69, 67, 98 a. Calculate the mode, median, mean, range, variance, and standard deviation for both sections. Include your SPSS output below. (10 pts) b. Which section did better overall on the exam? Fully justify your answer using the concepts in W&G Chapter 3. (3 pts)

Answers

Answer:

a)

For Section 1 -

Mode : 45 , 98

Median - 78

Mean - 73.8

Range - 65

Variance - 537.03

Standard Deviation - 23.17

For Section 2 -

Mode : 67 , 77 , 87 , 88 , 98

Median - 77

Mean - 76.4

Range - 55

Variance - 333.11

Standard Deviation - 18.25

b)

Section 2 did better overall on the exam

Step-by-step explanation:

As given,

Section 1: 89, 56, 45, 78, 98, 45, 55, 77, 88, 99, 98, 97, 54, 34, 94

Section 2: 77, 88, 87, 67, 98, 87, 55, 77, 45, 44, 88, 99, 69, 67, 98

a)  

For Section 1 -

Mode : 45 , 98

Median - 78

Mean - 73.8

Range - 65

Variance - 537.03

Standard Deviation - 23.17

For Section 2 -

Mode : 67 , 77 , 87 , 88 , 98

Median - 77

Mean - 76.4

Range - 55

Variance - 333.11

Standard Deviation - 18.25

b)

As,

Standard deviation of section 2 < Standard deviation of section 1

⇒ Students of Section 2 are more consistent.

Also,

mean of Section 2 > mean of Section 1,

⇒average score of Section 2 student > Average score of  Section 1 student.

∴ we get

Section 2 did better overall on the exam.

What is the solution to 3x - y = 13 and 2x + 5y = 20

Answers

Answer:

Step-by-step explanation:

x = 10 - 5/2y

2x+5y=20
3x-y=13 (•5)

2x+5y=20
15x-5y=65

17x=85

X=85/17

A) Find the area of the shaded region
ill give you brainliest​

Answers

Answer:

2.0

Step-by-step explanation:

Area of Shaded Region = Area of square – Area of circle

Area of square = 3×3 = 9

Area of circle = π×r² = π×1.5² ≈ 7.068

(radius of circle is half of the side length)

9–7.068≈2.0

arkadaşlar 81×56 kaç​

Answers

Answer:

big

Step-by-step explanation:

pp

Answer:

4536

Step-by-step explanation:

Hesap makinesi kulan

A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 417 gram setting. It is believed that the machine is underfilling the bags. A 13 bag sample had a mean of 415 grams with a standard deviation of 30. A level of significance of 0.1 will be used. Assume the population distribution is approximately normal. Determine the decision rule for rejecting the null hypothesis. Round your answer to three decimal places.

Answers

Answer:

P value = 0.407

Hence, as P-value (0.407) is greater than 0.1

Fail to reject Null hypothesis

Step-by-step explanation:

Given the data in the question;

sample size n = 13

sample mean x" = 415

standard deviation s = 30

level of significance = 0.1

so;

Null hypothesis H₀ : μ = 417

Alternative hypothesis Hₐ : μ < 417

degree of freedom DF = n - 1 = 13 -1 = 12

Rejection Region { level of significance = 0.1, df = 12 }

critical value of t is - 1.356 as { left tailed test }

Test Statistics;

t = (x" - μ) / [tex]\frac{s}{\sqrt{n} }[/tex]

we substitute

t =  (415 - 417) / [tex]\frac{30}{\sqrt{13} }[/tex]

t = -2 / [tex]\frac{30}{\sqrt{13} }[/tex]

t = -0.24

so, from table;

P value = 0.407

Hence, as P-value (0.407) is greater than 0.1

Fail to reject Null hypothesis

Pls help I’ll brainlest ASAP

Answers

Answer:

$180

Step-by-step explanation:

$180

if f(x)=x+4 and g(x)=x^3 what is (g*f)(-3)

Answers

Step-by-step explanation:

g*f(x)=g(x+4)=(x+4)³

g*f(-3)=(-3+4)³

= 1³=1

Find the product of (x2 + 2x −3)(4x2 − 5x + 6). (2 points) a 4x4 + 13x3 − 16x2 + 27x − 18 b 4x4 + 3x3 − 28x2 + 27x − 18 c 4x4 + 3x3 − 16x2 + 3x − 18 d 4x4 + 3x3 − 16x2 + 27x − 18

Answers

Answer:

D

Step-by-step explanation:

We want to find:

[tex](x^2+2x-3)(4x^2-5x+6)[/tex]

Distribute:

[tex]=(x^2+2x-3)(4x^2)+(x^2+2x-3)(-5x)+(x^2+2x-3)(6)[/tex]

Distribute:

[tex]=(4x^4+8x^3-12x^2)+(-5x^3-10x^2+15x)+(6x^2+12x-18)[/tex]

Rearrange:

[tex]=(4x^4)+(8x^3-5x^3)+(-12x^2-10x^2+6x^2)+(15x+12x)+(-18)[/tex]

Combine like terms:

[tex]=4x^4+3x^3-16x^2+27x-18[/tex]

The answer is D.

2 + − 1 ( − ) + 7 ( 2 − )

Answers

Answer:

Step-by-step explanation:

15

Which variable is most important to the following problem? After two hours, Kaylee measured the temperature of a mixture to be 62.7°F. She noticed it was 3:47 p.m. At 4:58 p.m., the temperature reached its peak at 89.4°F. How much did the temperature of the mixture increase between 3:47 and 4:58?​

Answers

It was the temperature peak 89.4 without this there would be no difference.

Consider the line 2x-3y=-3.
What is the slope of a line perpendicular to this line?
What is the slope of a line parallel to this line?

Answers

Perpendicular slope=-3/2
Parallel slope=2/3

Helpppp!!!!!! After a few rides, your friends are ready for some ice cream! You stop into Scoops to You for some ice-cream. Which is the better deal?
3 scoops for $3.69

2 scoops for $2.69

1 scoop for $1.79

Answers

Answer:

3 scoops for $3.69  is better deal.

Step-by-step explanation:

Given that,

There are 3 deals to buy icecram.

3 scoops for $3.69  

2 scoops for $2.69  

1 scoop for $1.79

We can find the cost of 1 scoop for each deal. So,

First deal,

1 scoop = 3.69/3 = $1.23

Second deal,

1 scoop = 2.69/2 = 1.345

We can see that the cost of 1 scoop for deal 1 is less than others. It means first deal is best.

Pleaseeee helpp its due in 6 mins

Answers

Answer:

 5 8 as decimal is: 0.625

Step-by-step explanation:

What is 5/8 as a decimal?

To write 5/8 as a decimal you have to divide numerator by the denominator of the fraction.

We divide now 5 by 8 what we write down as 5/8 and we get 0.625

And finally we have:

5/8 as a decimal equals 0.625

which correctly shows 5.05 and 5.5

Answers

Answer:

how are we gonna answer the question if there is no picture of it

Step-by-step explanation:

800 liralık bir telefonun fiya-
tina %6 zam yapılıyor.
Yeni satış fiyatı kaç lira
olur?​

Answers

Answer:

8ile 6 yı çarp sonucu 800 ile topla 48+800= 848

ples ill give you the brianliest

Answers

Answer:

72

Step-by-step explanation:

step 1: 10(4+14/7)+12

step 2: 10(4+2)+12

step 3: 10(6)+12

step 4: 60+12=72

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FILL IN THE BLANK. changes in activity have a(n) _________ effect on fixed costs per unit. group of answer choices negative positive neutral inverse The form of "Since some grapefruits are citrus and all oranges are citrus, some oranges are grapefruits" is:A)Some P are MAll S are MSome S are PB)Some M are not PAll M are SSome S are not PC)Some M are PAll S are MSome S are P If a corporation faces a tax rate of 21 percent, the after-tax cost of debt for a 15- year, 12 percent, $1,000 par value bond, selling at $950 is A) 2.68 percent B) 12.76 percent C) 10.08 percent D) 5.11 percent A firm evaluates all of its projects by applying the IRR rule.YearCash Flow0$164,000152,000287,000371,000Requirement 1:What is the project's IRR? (Do not round intermediate calculations. Enter your answer as a percentage rounded to 2 decimal places (e.g., 32.16).)Internal rate of return% Calvin is a train company managerHe compares the arrival times of a morning train service for 10 days in the summer and for 10 days in thewinterIn the summer the median number of minutes late was 12. 7 minutes. The range of the number of minutes late was 11 minutesThe results below show the number of minutes late in the winter. 8, 32, 44, 5, 17, 67, 9, 14, 10, 26Calvin thinks that in the winterthe median number of minutes late increasesthe train service is less consistent. Is Calvin correct?Show why you think this giving reasons with your answers. (6) A system consists of three particles, each of mass 4.40 g, located at the corners of an equilateral triangle with sides of 45.0 cm.(a) Calculate the potential energy of the system. Point A worker sees increases in the prices that she pays for transportation, housing, and food but that her wage has remained unchanged for a long time. a. Shoeleather cost b. Menu cost c. Relative price variability d. Tax distortions determine the electron geometry (eg), molecular geometry (mg), and polarity of n2o (n central). Part BWhich type of situation would you rather be in? Justify your response. sample answer: One possible answer is that the first situation is preferable because the level of economic freedom given to citizens makes it easier for people to start their own businesses if they want to When a production process involves several types of labor, weighted rate and efficiency variances are calculated. a. trueb. false In China, Dell had to find a meaningful interpretation of "direct sales." A literal translation results in zhi xiao which is the Chinese term for "illegal pyramid marketing schemes." To counteract the negative connotation, Dell's sales representatives began using the phrase zhi xiao ding gou, which translates as: ____ the ______ process to make influenza vaccines, only uses a small portion of the h spike protein that helps the immune system identify the actual virus. which of the partition must be made used for booting an operating system? using the power law, =, and ohms law, =, obtain an expression for the maximum current you can safely apply to a watt 3 resistor. Olivia, Muhammad, and Cameron had a challenge to see who could bike the farthest in one day. Olivia biked 8 miles, Muhammad biked 2 times as many miles as Cameron and Cameron biked 4 times as many miles as Olivia. How many miles did Muhammad bike? The following box-and-whisker plot shows the distribution of ratings a new restaurant received from 100 food critics that reviewed it. Seventy-five percent of critics did not rate it higher than what number? what do you think are the two most important practices that should be incorporated into a security awareness policy? There are some linear transformations that are their own inverses. for which of the follow transformations is ___ Can Green's theorem be applied to the line integral -5x 4y V x + y2 ax + x2 + v2 dy where C is the unit circle x2 + y2 = 1? Why or why not?A. No, because C is not smooth. -5x B. No, because the partial derivatives of and are not continuous in the closed region. x2+y2 and C. No, because C is not positively oriented. D. Yes, because all criteria for applying Green's theorem are met. E. No, because C is not simple true or false:the net ionic equation for the reaction that occurs when a small amount of nitric acid is added to a nano2/hno2 buffer is h no2 rightwards arrow hno2