What are the factors of the trinomial 3x^2 + 16x + 5? Show your work analytically

Answers

Answer 1

Answer:

3x+1 and x+5 are the factors

Step-by-step explanation:

Here's the slide-and-divide method to find the factors:

[tex]3x^2+16x+5[/tex]

[tex]\frac{3x^2}{3}+16x+5(3)[/tex]

[tex]x^2+16x+15[/tex]

[tex](x+1)(x+15)[/tex]

[tex](3*x+1)(x+\frac{15}{3})[/tex]

[tex](3x+1)(x+5)[/tex]


Related Questions

Here is the histogram of a data distribution.
What is the shape of this distribution?

Answers

Answer:

Unimodal-Skewed

Step-by-step explanation:

A distribution is called unimodal if it has only one hump in the histogram.

A symmetric distribution is equally divided on both sides of the highest hump.

The given histogram has only one hump at 4 and as it is not symmetrically distributed, it is skewed.

So the correct answer is:

Unimodal-Skewed ..

Lucy drove 200 miles using 9 gallons of gas. At this rate, how many gallons of gas would she need to drive 420 miles

Answers

Answer:

18.9

Step-by-step explanation:

if 200miles = 9gallons

then 420miles = ?

note:if more less divide and if less more divide.

so it is 420/200×9=18.9

hi a little confused, please help 15 points

Answers

Answer:

#3

20tan(53) + 5 feet   OR    31.54 feet (rounded to nearest hundredth)

#4

6tan(32) feet    OR    3.75 km (rounded to nearest hundredth)

Step-by-step explanation:

#3

The horizontal line is at Chloe's eye level, which is 5 feet.

She looks up at an angle of 53 degrees, and is 20 feet away from the statue. This creates a right triangle that you can use basic trigonometry to solve.

Let's call the shorter leg (upper half of statue) as x and the longer leg (distance between Chloe and statue) is 20 feet. We are given the opposite and adjacent sides (from the given angle) so we can use tan.

tan = opp/adj, so tan(53)=x/20

If you plug 20 tan 53 into your calculator to find x, you get 26.54089643

But you have to add 5 feet to your answer because that is her eye level.

#4

The horizontal distance from airplane to raft is 6km, the angle of depression is 32 degrees from the airplane, and we are asked to find the altitude of the plane (x).

We are given an adjacent side and are tasked to find the opposite side, so we will use tan.

tan 32=x/6

Plug this  into your calculator and you get x=3.749216111 km.

5th term of f(n)=3+2n

Answers

5th term of f(n)=3+2 5+_74+4-&;4-(4!

Step-by-step explanation:

5th term of f(n) = 3+ 2n

put n = 5

f(5) = 3 + 2 × 5

f(n) = 3+ 10

f(n) = 13

here is another question can u help.

Answers

Answer:

The answer is (0,2)

Step-by-step explanation:

The second quadrant or Quadrant II has coordinates that are ALL positive.

(my favorite quadrant)

The coordinates would look like (4, 5) or (19, 69) and so on.

find the image of O(-1, -3) after two reflections, first in the line y = -2, and then in the line x = -2

Answers

Answer:

The image of point O after these reflections is (-3, -1)

Step-by-step explanation:

For a point (x, y) a reflection across the line y = a transforms the point to:

(x, a + (a - y))

and for a reflection across the line x = b, the new point will be:

(b + (b - x), y)

Then if we start with the point (-1, -3) and we do a reflection across the line y = -2

the new point is:

(-1, -2 + (-2 - (-3))

(-1, -2 + 1) = (-1, -1)

now we do a reflection across the line x = -2

Then the new point is:

(-2 + (-2 - (-1)), -1)

(-2 + (-2 + 1), -1)

(-2 - 1, -1)

(-3, -1)

The image of point O after these reflections is (-3, -1)

evaluate the expression. check all possible sets that the solution may belong in. 40-5^2

Answers

Answer:

15

Step-by-step explanation:

following PEMDAS, we don't have () so we move on to exponents

5^2 is equal to 5 x 5 which is 25

40-25=15

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\large\textsf{40 - 5}\mathsf{^2}\\\\\\\large\textsf{5}\mathsf{^2}\\\large\textsf{= 5}\times\large\textsf{5}\\\large\textsf{= \bf 25}\\\\\\\large\textsf{= 40 - 25}\\\\\\\large\textsf{= \bf 15}\\\\\\\\\\\\\boxed{\boxed{\huge\textsf{Therefore your answer is: \bf 15}}}\huge\checkmark[/tex]

[tex]\huge\textsf{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\textsf{Amphitrite1040:)}[/tex]

Plz help similarity theorems

Answers

Answer:

b is the answer bro and try first then ask questions

Determine whether 7^2m · 6^2m is equivalent to each of the following expressions:
42^6m
42^m
42^9m

Answers

Answer:

Not equivalent to any of the options

Step-by-step explanation:

Given:

7^2m * 6^2m

Since, they both have different bases, multiply the bases and add the powers

7^2m * 6^2m

= (7 * 6)^(2m + 2m)

= 42^4m

Therefore,

7^2m * 6^2m is equivalent to 42^4m

A. 42^6m

Not equivalent

B. 42^m

Not equivalent

C. 42^9m

Not equivalent

13. A recent survey by the cancer society has shown that the probability that someone is a smoker is P(S) = 0.31. They have also determined that the probability that someone has lung
cancer, given that they are a smoker is P(LCS) = 0.226. What is the probability (rounded to the nearest hundredth) that a random person is a smoker and has lung cancer
P(SnLC)?

-0.08

-0.73

-0.25

-0.07

Answers

Answer: Choice D) 0.07

=======================================================

Work Shown:

S = person is a smokerLC = person has lung cancerP(S) = 0.31 = probability someone is a smokerP(LC given S) = probability someone has lung cancer, given they are a smokerP(LC given S) = 0.226

Use that given info to say the following:

P(LC given S) = P(LC and S)/P(S)

P(LC and S) = P(LC given S)*P(S)

P(LC and S) = 0.31*0.226

P(LC and S) = 0.07006

P(LC and S) = 0.07

This problem is an example of using conditional probability.

I used "and" in place of the intersection symbol [tex]\cap[/tex]

Saying P(LC and S) is the same as P(S and LC). The order doesn't matter.

HELP ME PLSSSSS I NEED HELP PLS PLS PLS ITS PYTHAGOREAN THEOREM

Answers

H=9ftB=6ft

Using Pythagorean thereon

[tex]\\ \Large\sf\longmapsto P^2=H^2-B^2[/tex]

[tex]\\ \Large\sf\longmapsto P^2=9^2-6^2[/tex]

[tex]\\ \Large\sf\longmapsto P^2=81-36[/tex]

[tex]\\ \Large\sf\longmapsto P^2=45[/tex]

[tex]\\ \Large\sf\longmapsto P=\sqrt{45}[/tex]

[tex]\\ \Large\sf\longmapsto P=6.3ft[/tex]

in two or more complete sentences, describe how to graph the following equation. in your description, include the slope and both the x- and y-intercepts of the line. y=2

Answers

Answer:

Slope: 0

x-intercept: there isnt one

y-intercept: 2

Step-by-step explanation:

the easiest way to look at this is to put it in the form y=mx+b where m is the slope and b is the y intercept.  when we just think about what y=2 would look like, we can imagine a straight horizontal line at y=2.  No matter what x value you choose, y will always equal 2.  We know the slope (m) of any horizontal line is zero because there is no rise and zero divided by anything is going to be zero.  we also know if y is always equal to 2 the y intercept will be 2.  this would give us y=0x+2.  to find the x intercept we just need to set y equal to zero in this equation.  this gives us 0=0x+2 or 0=2 which can never be true, therefore there will be no x intercept.

*insert shrek script*

...................................

Victor had dozen boxes, with n number of water bottles in each box. After removing dozen bottles, there were 84 bottles. Find the number of bottles in each box.

Answers

Answer:

Number of bottles in each box = 8

Step-by-step explanation:

Given:

Number of boxes = 12 boxes

Number of bottle in each box = n

Number of bottle remove = 12

Number of bottle remain = 84

Find:

Number of bottles in each box.

Computation:

Total bottle = (Number of boxes)(Number of bottle in each bo)

Total bottle = 12n

12n = 12 + 84

12n = 96

n = 8

Number of bottles in each box = 8

Answer:

The number of bottles in each box is 8.

Step-by-step explanation:

Number of boxes =  a dozen = 12

Number of bottles in each box = n

Total number of bottles = n x 12 = 12 n

12 bottles are removed

number of bottles

12 n - 12 = 84

12 n = 96

n = 8

So, the number of bottles in each box is 8.

below are properties of a square which one is not a all sides are equal b all angles are right angles C has five interior angles d diagonals are equal​

Answers

Answer:

has five interior angles

a square is a quadrant meaning it has four interior angles

A juice machine is set to dispense 16 ounces of juice. The amount of juice
dispensed is normally distributed, with a mean of 16.15 ounces and a
standard deviation of 0.25 ounces. In which range will the amount of juice
dispensed be found 68% of the time?​

Answers

Answer: A): 15.90 ounces to 16.4 ounces.

Step-by-step explanation:

Considering the standard deviation is 0.25 ounces. The mean of the juice is 16.15 ounces. Additionally, 68% is one standard deviation away from the mean.

With that being said, you would do the following calculations:

[tex]16.15-0.25=15.90\\\\16.15+0.25=16.40[/tex]

This question relates to The Empirical Rule and understanding how it works. A brief summary is that within one standard deviation of the mean, that is where 68% of the data lies. Two standards deviations is 95%. And three standard deviations is 99.5%.

The formula: [tex]u\frac{+}{-} o[/tex]

the mean PLUS OR MINUS the standard deviation.

Answer:

A

Step-by-step explanation:

Which of the following have a total of 8 possible outcomes? Check all that apply.

Answers

Answer:

Probably the first three answers

Step-by-step explanation:

The rest are

4) 3×5=15 (which is not 8)

5) 6×2=12 (≠8)

So it's just the first three

if a person invests $220 at 7% annual interest, find the approximate value of the investment at the end of 10 years

Answers

Answer:

Amount of investment after 10 year = $432.76 (Approx.)

Step-by-step explanation:

Given;

Amount of investment = $220

Annual rate = 7% = 0.07

Number of year = 10 years

Find:

Amount of investment after 10 year

Computation:

A = P[1+r]ⁿ

Amount of investment after 10 year = 220[1+0.07]¹⁰

Amount of investment after 10 year = 220[1.07]¹⁰

Amount of investment after 10 year = 220[1.9671]

Amount of investment after 10 year = 432.762

Amount of investment after 10 year = $432.76 (Approx.)

find the measure of the missing angles in the kite​

Answers

Answer:

x = y = 104°

Step-by-step explanation:

The sum of the interior angles = 360°

The opposite angles x and y are congruent , that is y = x , then

92 + 60 + x + x = 360

152 + 2x = 360 ( subtract 152 from both sides )

2x = 208 ( divide both sides by 2 )

x = 104

Then

x = y = 104°

The van traveled 120 miles in 7 hours. How long would it take to travel 1400 miles at the same speed? (A) 5/3 hrs (B) 81 2/3 hrs (C) 49/6 hrs (D)24000 hr

Answers

Answer:

[tex]81\frac{2}{3}[/tex] hours

Step-by-step explanation:

Hi there!

1) Create a proportion

The van traveled 120 miles in 7 hoursThe van travels 1400 miles in x hours

[tex]\frac{7h}{120mi}=\frac{x}{1400 mi}[/tex]

[tex]\frac{7}{120}=\frac{x}{1400}[/tex]

2) Solve for x

[tex]\frac{7}{120}=\frac{x}{1400}[/tex]

Multiply both sides by 1400

[tex]\frac{7}{120}*1400=\frac{x}{1400}*1400[/tex]

[tex]\frac{245}{3} =x[/tex]

[tex]\frac{245}{3} =x[/tex]

[tex]81\frac{2}{3} =x[/tex]

Therefore, it would take the van [tex]81\frac{2}{3}[/tex] hours to travel 1400 miles at the same speed.

I hope this helps!

Which equation relates the population (P) in millions to the time that has passed (T) if the growth rate is 4% per year and the starting
population is 10 million people?
(1) P = 10(0.96)^T
(2) P = 10(1.04)^T
(3) P = 10 + 10(0.04)^T
(4) P = 10(1.4)^T

Answers

Answer:

Step-by-step explanation:

The model for exponential growth/decay is

[tex]P(t)=a(b)^t[/tex] where a is the initial population and b is the growth/decay rate. Filling in the info you were given:

[tex]P(t)=10(1.04)^t[/tex]

Because this is a growth rate, we have 100% of the population and that population is growing by 4%, which is .04 in decimal form. If the population is not declining, we are adding to the 100% of the population we already have. That's why the growth rate is 1.04.

.96 means that the population is declining at 4% each year; and 1.4 means that the population is growing at 140% instead of the 104% that it is.

In 2010, 1 Canadian dollar cost .56 British pounds and in 2012 it cost .63 British pounds. How much would 1 British pound purchase in Canadian dollars in 2010 and 2012? 2010: 1.78 dollars, 2012: 1.57 dollars 2010: 1.79 dollars, 2012: 1.59 dollars 2010: 1.87 dollars, 2012: 1.65 dollars 2010: 1.97 dollars, 2012: 1.75 dollars

Answers

Answer:

2010: 1.79 dollars, 2012: 1.59 dollars

Step-by-step explanation:

In 2010,

1 Canadian dollar = .56 British pounds.

We want to find how many pounds go into a dollar, so we somehow have to make the equation equal to 1 pound. To do this, we can multiply the amount of pounds by its reciprocal to equal 1. To find the reciprocal of a number, we simply divide 1 by it. For .56, this is (1/.56). Therefore, we can multiply both sides by (1/.56) to get

1.79 Canadian dollars = 1 British pound

Similarly, for 2012, we have 1 dollar = .63 pounds. Multiplying both sides by 1/.63, we get

1.59 Canadian dollars = 1 British pound

SEE QUESTION IN IMAGE
Find the mean of the distribution above (a) ½ (b) 1 (c) 3 (d) 2

Answers

Answer:

d) 2

Step-by-step explanation:

Total number of oranges:

0*5 + 1*8 + 2*6 + 3*6 + 4*3 + 5*2 = 60

Number of baskets:

5 + 8 + 6 + 6 + 3 + 2 = 30

Mean of the distribution of oranges:

60/30 = 2

Correct choice is d

Select the correct answer from each drop-down menu. The asymptote of the function f(x) = 3x + 1 – 2 is ____ Its y-intercept is ____

Answers

Answer:

-2

(0, 1)

Step-by-step explanation:

Giveb the function :

F(x) = 3^x + 1 – 2

To obtain the asymptote, take the limit of f(x) as x as tends to ∞

3^(∞+1) - 2 = 0 - 2

Hence,

y = 0 - 2.

y = - 2

The y intercept, this is the value of y when x = 0

Hence, put x = 0

F(0) = 3^(0 + 1) – 2

f(0) = 3^1 - 2

f(0) = 3 - 2

f(0) = 1

Y - intercept = (0, 1)

will mark brainliest!!

picture included ^^^^

please and THANK YOU


^^!!

Answers

Answer:

shift the graph up 1 unit

Step-by-step explanation:

d is the vertical shift

+1 means we shift the graph up 1 unit

Help with both plz :)

Answers

Step-by-step explanation:

Concept Required :-

BODMAS

Brackets , Of , Division , Multiplication , Addition , Subtraction .

Solution 9:-

We are here given ,

32 ÷ 10 - 8 ÷ 2 -3

Putting brackets after and before 10 -8

32 ÷ ( 10 - 8 ) ÷ 2 - 3

On simplifying,

32 ÷ 2 ÷ 2 - 3 16 ÷ 2 - 3 8 - 3 5

Expression :- 32 ÷ (10 -8) ÷ 2 - 3

Solution 10 :-

We are given,

1/2 × 12 ÷ 2 - 2 + 11

Putting brackets ,

1/2 × ( 12 ÷ 2 - 2 ) + 111/2 ( 6 - 2 ) + 111/2 × 4 + 112 + 1113

Expression :- 1/2 × (12 ÷ 2 - 2 ) +11

Step-by-step explanation:

1. 32 ÷ 10 - 8 ÷ 2 - 3

32 ÷ 2 ÷ 2 - 3

16 ÷ 2 - 3

8 - 3

5

2.

½ × 12 + 2 - 2 + 11

6 + 2 - 2 + 11

19 - 2

17

21 is 35% of what number (shown work)

Answers

Answer:

60

Step-by-step explanation:

Is means equals and of means multiply

21 = 35% * n

21 = .35*n

Divide each side by .35

21/.35 = .35n/.35

60 = n

Answer:

60

Step-by-step explanation:

35% of 60 is 21 its that simple

THIS IS TIMED! Find the equation of the graphed line.

On a coordinate plane, a line goes through (negative 6, 0) and (0, negative 7).
a.
y = negative 6 x minus 7
c.
y = negative StartFraction 6 Over 7 EndFraction x minus 6
b.
y = 6 x minus 7
d.
y = negative StartFraction 7 Over 6 EndFraction x minus 7



Please select the best answer from the choices provided


A
B
C
D

Answers

Answer:

D

Step-by-step explanation:

x/(-6)+y/(-7)=1

7x+6y=-42

7x+6y+42=0

y=(-7/6)x-7

Which of the following examples best represents the use of an interval scale? measuring the number of cookie boxes sold by scouts on the west coast of a town versus those sold on the east coast of the town naming the different car brands seen in a school's parking lot assessing students' ratings of their professors' performance on a five-point scale ranging from poor to excellent ranking the participants of a race based on their performance

Answers

Answer:

students' ratings of their professors' performance on a five-point scale ranging from poor to excellent

Step-by-step explanation:

There are four type of scales in mathematics. They include:

1. Nominal scale : they do not measure quantity. they are used to classify a population into two or more scales that are exhaustive and mutually exclusive. e.g. classifying a population based on gender, naming the different car brands seen in a school's parking lot

2. Ordinal scale : this scale measures ranks a population from best to worst or from least to most. e.g. ranking the participants of a race based on their performance

3. Interval scale : this scale has the property of order and equal intervals. Zero is not meaningful.

Interval scale is used when the difference between the numbers are meaningful. e.g. students' ratings of their professors' performance on a five-point scale ranging from poor to excellent Here a child who is scored 1, did very poorly and a child scored 5, performed excellently well.

4. Ratio scale :  this scale has the property of order, a meaningful zero and equal intervals.

Please help explanation if possible

Answers

Answer:

I don't know ask to your teacher

the perimeter of the shape is

Answers

Answer:

94 cm.

Step-by-step explanation:

Perimeter = 25 + 2(10) + + 2(12) + 25

= 50 + 20 + 24

= 94 cm.

Other Questions
16. What best describes an environment that is free from abuse and discrimination? A. Children will feel valued and accepted for who they are. B. Children are motivated to learn and attain positive learning outcomes. C. Children have a positive attitude towards learning. D. Children are inspired to participate actively in class and will improve their academic performance In , AB = AC and A = 1000, then B isa) 200 b) 400 c) 800 d) 600 PLEASE HELP ME I'M GIVING OUT LOTS OF POINTS!! The cost of paving a square room at the rate of RS.15 per m2 is Rs.1500. What is the Area and the Perimeter of the room? MODELING REAL LIFE The table shows the amount y (in fluid Ounces) of carpet cleaner in a tank after x minutes ofcleaning.x ll y5 ll 10810 ll 8815 ll 68a. Write an equation that represents the amount of cleaner in the tank after x minutes.b. How much cleaner is in the tank when the cleaning begins?C. After how many minutes is the tank empty? can someone help me do this and show work what's 0.084507042 rounded Texans show their riding skills at the state fair t or f what ratio is equivelant to 5 : 4 I NEEEEED HELP AND QUICK T~T If Alex is 14 years old, and Ben is 17 years old, in how many years will the sum of their ages be 169 years? 1. Determine the domain and range of the function f(x) = x2 + 2. Give your answer in all three notations for continuousfunctions.=pls help!! algebra 1 math take a factor out of the square root: 4450 whats 75 percent of 120 During cellular respiration, cells convert oxygen and glucose into carbon dioxide, water, and energy. How is this process related to that of photosynthesis? A. The products of photosynthesis are the reactants of cellular respiration.B. In photosynthesis, cells use ATP to convert insulin into glucose and carbon dioxide C. In photosynthesis, oxygen is inhaled, and carbon dioxide and water are exhaled. D. Both photosynthesis and cellular respiration occur in a cell's mitochondria. Mr. Jenson's class is observing the growth of one kind of pea plant. The class wants to design an experiment to answer the question, "What amount of water will cause the plants to produce the greatest number of peas?"What could the class do to create the experiment? A. give all the pea plants the same amount of water and count the number of peas that the plants produce B. give all the pea plants different amounts of water and only guess the number of peas that the plants produce C. give all of the pea plants different amounts of water and count the number of peas that the plants produce D. stop watering all of the pea plants and then count the number of peas that the plants produce according to ovid, why did phineus want to kill perseus? Please help meEvaluate the expression when M=2m+29 How does holi bring people of different castes and religions into harmony and fraternity find the slope of the line that passes through the pair of points (3,-5), (-4,1)