The factorization of the given trinomial [tex]x^2 - 9x+ 20[/tex] is (x – 4)(x - 5). The correct option is A.
What is trinomial?A trinomial is a polynomial that has three terms. To factor a trinomial of the form [tex]ax^2 + bx + c[/tex], you need to find two binomials that multiply together to produce the original trinomial.
To factor the trinomial [tex]x^2 - 9x + 20[/tex], we need to find two numbers that multiply to 20 and add up to -9. These two numbers are -4 and -5. Therefore, we can write:
[tex]x^2 - 9x + 20 = (x - 4)(x - 5)[/tex]
Or, To factor [tex]x^2 - 9x + 20[/tex], you need to find two numbers that multiply to 20 and add up to -9. These numbers are -4 and -5 because -4*(-5) = 20 and -4 + (-5) = -9.
You can factor the trinomial as (x - 4)(x - 5).
Thus, the correct option is A.
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For which points is the y-coordinate greater than -3
Answer:
d,c,a
Step-by-step explanation:
guess it helps
Which graph represents the function?
f(x)=x+2‾‾‾‾‾√3
Answer:
the correct answer is the last one to the right side
Answer:
Equation :
f(x) = ³√x+2
The fourth option.See image.
I hope the image helps.
[tex]0.004 \times 0 .81[/tex]
Solve: 10 13/15 - 6 2/5 = *
Answer:4.46666666667
your welcome
Answer:
4 7/15
Step-by-step explanation:
Suppose P(t)represents the population of a certain mosquito colony, where. t is measured in days. The current population of the colony is known to be 574 mosquitos; that is, P(0)=574. If P'(0)=50 mosquitos per day, estimate the size of the population in 10 days.
Answer:
The estimated size of the population in 10 days is of 1372 mosquitos.
Step-by-step explanation:
Population after t days:
The population after t days is given by:
[tex]P(t) = P(0)e^{rt}[/tex]
In which P(0) is the initial population and r is the growth rate, as a decimal.
P(0)=574.
So
[tex]P(t) = 574e^{rt}[/tex]
P'(0)=50
[tex]P^{\prime}(t) = 574re^{rt}[/tex]
Since P'(0)=50
[tex]574r = 50[/tex]
[tex]r = \frac{50}{574}[/tex]
[tex]r = 0.0871[/tex]
So
[tex]P(t) = 574e^{0.0871t}[/tex]
Estimate the size of the population in 10 days
This is P(10).
[tex]P(10) = 574e^{0.0871*10} = 1372[/tex]
The estimated size of the population in 10 days is of 1372 mosquitos.
The size of the population of mosquito follows an exponential model.
The size of the population in 10 days is 1370
The given parameters are:
[tex]\mathbf{P(0) = 574}[/tex]
[tex]\mathbf{P'(0) = 50}[/tex]
An exponential function is represented as:
[tex]\mathbf{P(t) = P(0) \times e^r^t}[/tex]
So, we have:
[tex]\mathbf{P(t) = 574 \times e^r^t}[/tex]
Differentiate
[tex]\mathbf{P'(t) = 574r}[/tex]
Substitute 0 for t
[tex]\mathbf{P'(0) = 574r}[/tex]
Substitute [tex]\mathbf{P'(0) = 50}[/tex]
[tex]\mathbf{50 = 574r}[/tex]
Divide both sides by 574
[tex]\mathbf{0.087 = r}[/tex]
So, we have:
[tex]\mathbf{r = 0.087 }[/tex]
The function becomes
[tex]\mathbf{P(t) = 574 \times e^r^t}[/tex]
[tex]\mathbf{P(t) = 574 \times e^{0.087t}}[/tex]
In 10 days, t = 10.
So, we have:
[tex]\mathbf{P(10) = 574 \times e^{0.087 \times 10}}[/tex]
[tex]\mathbf{P(10) = 574 \times e^{0.87}}[/tex]
Solve
[tex]\mathbf{P(10) = 1370}[/tex]
Hence, the size of the population in 10 days is 1370
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Exact distance between (-1,-9) and (5,-5)
[tex]2 \sqrt{13} [/tex]
that is your answer
plss help me i need ur guys help and if u dont i fail plsssss help im begging u
Answer: 37 hours.
Step-by-step explanation:
All you really have to do is divide 259 by 7.
Answer:
37 hours
Step-by-step explanation:
You would need to divide 259 by 7 creating your sum.
Question 11
Rhonda deposits $5,600 in a savings account that pays 1.36% Interest, compounded semiannually. What is the balance after the first 9 months?
Answer:
follow me please and give thanks
Determine the position function if the velocity function is v(t)=3-12t m/s and the initial position is s(0)=3m.
Answer:
bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb
A pair of shoes is on sale for 40%. This would save you $30 from the price. About what is the original cost of the shoes?
Answer:
$75
Step-by-step explanation:
please help !!!! Compare the table and equation.
x y
4 12
5 15
6 18
Equation: y = 3x
Which representation has the greatest slope?
A. The table and equation have the same slope.
B. Their slopes cannot be determined.
C. The equation has the greatest slope.
D. The table has the greatest slope.
Answer
I think A or c
Step-by-step explanation:
Your answer to this would be A, The table and equation of the same slope.
To find this, just divide Y by X. For ex, this could look something like 12 divided 4, 15 divided by 5, or 18 divided by 6.
To figure this out too, you can plug in the X and Y components into the equation to see if it checks out.
If you need any further help, please do not hesitate to ask or message me!!
8
BONUS QUESTION: A swimming pool is in the shape of a triangular prism. From the top down, the triangle's base has a length of 22 ft and a height of 11 ft.
The pool is 17.5 ft deep. If it takes 4.83 gallons of Jell-o to fill 2 cubic foot of space, how many gallons of Jell-o will it take to completely fill the pool? (Round the
gallons up).
Answer:
Good luck Dude
Step-by-step explanation:
6xy^3 * 4x^2y^2 answer
The history of 100 workers who lost their employment due to technological advances is reviewed. Each worker was given an alternative job in the same​ company, found a job with another company in the same​ field, found a job in a new​ field, or has been unemployed for 1 year. In addition the union status of each worker is recorded. Complete​ (a) and​ (b).
Union Non-Union
Same Company 39 13
New Company 14 10
New Field 6 11
Unemployed 2 5
Required:
a. If the selected worker found a job with a new company in the same field, what is the probability that the worker is a union member?
b. If the worker is a union member, what is the probability that the worker has been unemployed for a year?
Based on the circumstances of the 100 workers and their union membership, the probabilities are:
Probability of worker finding new job in same field and is in union = 0.583.Probability that union worker has not been employed for a year = 0.033.What is the probability of the a new job with a union member?Number of people with jobs in new companies:
= 14 + 10
= 24
There are 24 people who have found a new job and out of them, 14 are in a union. The probability here is therefore:
= 14 / 24
= 0.583
What is the probability that a union worker has been unemployed?The number of people in a Union is:
= 39 + 14 + 6 + 2
= 61 people
Number of union people that have been unemployed is 2.
The probability here is therefore:
= 2 / 61
= 0.033.
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please help me with this question
Answer:
18
Step-by-step explanation:
which expression is equivalent to (5m) ^3
Answer:
5m•5m•5m
Step-by-step explanation:
so you multiply the factor by itself as many times as the exponent says so if the factor is 5m you would multiply it by the exponent which in this case is 3
5m.5m.5m and 125m³ is the equivalent expressions of the expression (5m)³.
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is (5m)³
We have to find the equivalent expression of (5m)³
Equivalent expressions are expressions that work the same even though they look different
(5m)³ can be written as 5m.5m.5m
The value of five cube is one hundred twenty five.
125m³
Hence, 5m.5m.5m and 125m³ is the equivalent expressions of the expression (5m)³.
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Carpet is installed in the hallways of a building. The cost of carpet and installation is $32.50 per square yard. A total length of 432.0 feet of carpet 5.0 feet wide is required. What is the total cost of carpet and installation? (Number of square feet = length in feet × width in feet)
Answer:
[tex]Total = \$7800[/tex]
Step-by-step explanation:
Given
[tex]Cost = \$32.50[/tex] per square yard
[tex]Length = 432.0ft[/tex]
[tex]Width = 5.0ft[/tex]
Required
Determine the cost of carpet and installation
First, calculate the area of the carpet
[tex]Area = Length * Width[/tex]
[tex]Area = 432.0ft * 5.0ft[/tex]
[tex]Area = 2160ft^2[/tex]
Convert to square yard
[tex]Area = \frac{2160yd^2}{9}[/tex]
[tex]Area = 240yd^2[/tex]
The cost is then calculated as:
[tex]Total= Area * Unit\ Cost[/tex]
[tex]Total = 240 * \$32.50[/tex]
[tex]Total = \$7800[/tex]
Automated electron backscattered diffraction is now being used in the study of fracture phenomena. The following information is on misorientation angle (degrees).
Class: 0−<5 5−<10 10−<15 15−<20 20−<30 30−<40 40−<60 60−<90 Rel freq: 0.176 0.169 0.179 0.139 0.193 0.075 0.040 0.029
A) What proportion of the sampled angles are at least 30°? (Round your answer to three decimal places.)
B) Roughly what proportion of angles are between 10° and 25°? (Round your answer to three decimal places.)
C) Construct a histogram. Comment on any interesting features. Select all that apply
1. There are two obvious outliers.
2. Without more precise information, we cannot tell if the data contain outliers.
3. The distribution of misorientation angles is approximately symmetric.
4. The distribution of misorientation angles is heavily negatively skewed.
5. The distribution of misorientation angles is heavily positively skewed.
6. The distribution of misorientation angles is bimodal.
Answer:
Step-by-step explanation:
From the information given:
Classes Relative Frequency
0 - < 5 0.176
5 - < 10 0.169
10 - < 15 0.179
15 - < 20 0.139
20 - < 30 0.193
30 - < 40 0.075
40 - < 60 0.040
60 - < 90 0.029
1
(a)
So from above; the proportion of samples that are at least 30° can be computed as:
P(at least 30°) = (0.075 + 0.040 + 0.029)
P(at least 30°) = 0.144
(b)
The proportion of angles between 10° and 25° = (0.179 + 0.139 + 0.193)
= 0.511
(c) The histogram is constructed by using the EXCEL. The step in making the histogram include;
Insert the class and relative frequency as a data set in the excel sheetSelect relative frequencychoose insertselect chartchose 2-D column(make sure you choose the first option)select bars and tap format series, then adjust the gaps.From the histogram, the chart doesn't show an outlier. The relative frequency is not also symmetrically distributed relating to the class due to the fact that the histogram does not possess a bell shape curve. Finally, we cannot determine if the distribution is positively skewed or negatively skewed because the distribution is bimodal.
6. The distribution of misorientation angles is bimodal.
4x^2-4x=3
Plz will mark brainliest!
Answer:
=−1/2
=3/2
Step-by-step explanation:
Answer:
x = -1/2
x = 3/2
Step-by-step explanation:
4x² - 4x = 3
Subtract 3.
4x² - 4x - 3 = 0
Factor by grouping.
(2x + 1)(2x - 3) = 0
2x + 1 = 0
2x - 3 = 0
x = -1/2
x = 3/2
good luck, i hope this helps :)
x multiplied by 7 then 18
subtronted form the product
Answer:
7x - 18
Step-by-step explanation:
x multiplied by seven = 7x
eighteen subtracted from product (7x) = -18
7x - 18
Answer:
7x-18
Step-by-step explanation:
the ans is 7x-18 because x is multiplied to 7 so its 7x
Solve −2x − 15 = 6x + 9. (1 point) Question 5 options: 1) 3 2) −3 3) −1 4) 6
Answer:
2) x = -3
Step-by-step explanation:
Collect like terms, so gather all your x's on one side, and numbers in the other. Add -6x and +15 to both sides, so you get -2x - 6x = +9 + 15, so we have -8x = 24, divide both sides by -8 you get x = -3.
Graphing plobem 8th grade. First anserw gets brainest
Answer: -5 is equal to x
Step-by-step explanation:
This is since you just make y = 0 to solve, so
0=x+5
= -5=x
Answer:
x=-8 and y=2 / x=-5 and x=5
Step-by-step explanation:
put x as 0 to find y
y=1÷4x+2
y=1÷4×0+2
y=0+2
y=2
put y as 0 to find x
y=1÷4x+2
0=1÷4x+2
-2+0=1÷4x
-2=1÷4x
1÷4x=-2
1x=-2×4
x=-8
y=x+5
0=x+5
x=-5
y=0+5
y=5
Can someone help me with two geometry questions? They are in a PDF document that I attached.
Answer:
use
x+y=z
and see magic answer is there
A store pays $3 for a box of plastic spoons and marks the price up by 5%. What is the
amount of the mark-up?
$
Answer:
givens
3$
5%
clue word Up
operation to be use : Multiplication
Number Sentence 3x( 5÷100=0.05 )
3x0.05=N
The Answer Is
3x0.05 = 0.15
$0.15 Is the Amount Of the Mark-Up
Hope It's Help (づ￣ ³￣)づ
[ I spend 3:00 minutes This solved It ]
Reasoning : The equation below describes a proportional relationship between x and y. What is the
constant of proportionality? Use pencil and paper. Explain why your answer is called the "constant of
proportionality."
y = 7.87x
Answer:
The constant of proportionality is 7.87.
Step-by-step explanation:
The relation between x and y is given by the equation :
y = 7.87x
y is directly proportional to x i.e.
y ∝ x
To remove the constant of proportionality, a constant 7.87 is inserted. Hence, the constant of proportionality is 7.87.
help me out please :(?
Answer:
3x2+15x=18
Step 1: Subtract 18 from both sides.
3x2+15x−18=18−18
3x2+15x−18=0
Step 2: Factor left side of equation.
3(x−1)(x+6)=0
Step 3: Set factors equal to 0.
x−1=0 or x+6=0
x=1 or x=−6
Answer:
A
I worked them out myself so if their wrong uh please don't get mad I tried my best.
Step-by-step explanation:
3x (2) + 15x = 18 3x (2) + 15x = 18
6x + 15x = 18 6x + 15x = 18
-6x + -6x = 18 -18 -18
-------------------------- ------------------------
0 + 9x = 18 6x + -3 = 0
------ ------- -3 + -3
18 18 --------------------
x = 2 -3 + 0
X = -3
does anyone know how to do this?
Answer:
90
Step-by-step explanation:
77degrees is one half of the side if see the line is exactly straight aplogies if i'm wrong
Prove that
sinAtanA/1-cosA
= 1 + SECA
Answer:
The proof is done in the step-by-step explanation below.
Step-by-step explanation:
We are given the following identity:
[tex]\frac{\sin{A}\tan{A}}{1-\cos{A}}[/tex]
And we have to show that this is equals to:
[tex]1 + \sec{A}[/tex]
Multiplying numerator and denominator by the conjugate of the denominator:
[tex]\frac{\sin{A}\tan{A}}{1-\cos{A}} \times \frac{1+\cos{A}}{1+\cos{A}}[/tex]
[tex]\frac{\sin{A}\tan{A}(1+\cos{A})}{1 - \cos^2{A}}[/tex]
We use these following identities:
[tex]\sin^2{A} + \cos^2{A} = 1[/tex]
So
[tex]1 - \cos^2{A} = \sin^2{A}[/tex]
Also:
[tex]\tan{A} = \frac{\sin{A}}{\cos{A}}[/tex]
Then
[tex]\frac{\sin{A}\sin{A}(1+\cos{A})}{\cos{A}\sin^2{A}}[/tex]
[tex]\frac{\sin^2{A}(1+\cos{A})}{\cos{A}\sin^2{A}}[/tex]
[tex]\frac{1 + \cos{A}}{\cos{A}}[/tex]
[tex]\frac{1}{\cos{A}} + \frac{\cos{A}}{\cos{A}}[/tex]
[tex]\frac{1}{\cos{A}} + 1[/tex]
Since:
[tex]\sec{A} = \frac{1}{\cos{A}}[/tex]
We have that:
[tex]1 + \sec{A}[/tex]
Thus, the proof is done.
Which of the binomials below is a factor of this trinomial? 6X squared minus 7X -5
Answer:
C. 2x + 1
Step-by-step explanation:
Factorize 6x² - 7x - 5
6x² + 3x - 10x - 5
3x(2x + 1) - 5(2x + 1)
(3x - 5)(2x + 1)
Therefore, 2x + 1 is a binomial factor of 6x² - 7x - 5.
A rental car company charges $36.41 per day to rent a car and $0.11 for every mile
driven. Kaylee wants to rent a car, knowing that:
• She plans to drive 50 miles.
• She has at most $360 to spend,
Which inequality can be used to determine d, the maximum number of days Kaylee
can afford to rent for while staying within her budget?
360 > 5.5 + 36.41d
360 > 5.50 + 36.41
Submit Answer
360 < 5.5 + 36.41d
360 < 5.5d + 36.41
Answer: 360>5.5+36.41d
Step-by-step explanation: