Answer:
x = 0
x = -4
x = -3
Step-by-step explanation:
Hello!
First, lets factor out 3x (GCF) from the whole expression:
[tex]f(x) = 3x^3 + 21x^2 + 36x[/tex][tex]f(x) = 3x(x^2 + 7x + 12)[/tex]Factor the polynomial by grouping:
[tex]f(x) = 3x(x^2 + 7x + 12)[/tex][tex]f(x) = 3x(x^2 + 3x + 4x + 12)[/tex][tex]f(x) = 3x(x(x+3) + 4(x + 3))[/tex][tex]f(x) = 3x(x + 4)(x + 3)[/tex]Set the expression and each factor to 0, and solve for x:
[tex]0 = 3x(x + 4)(x + 3)[/tex]3x = 0
x = 0x + 4 = 0
x = -4x + 3 = 0
x = -3There are 3 roots for this equation: 0, -4, and -3.
Open the document theres my question plss help
Answer: 55°
Step-by-step explanation:
The angle is in between 50° and 60°
Answer:
55°
Step-by-step explanation:
One ray lies on the 0° mark and the other lies on the 55° mark. To find the measure of the angle, find the difference between the greater angle and the lower angle. 55° - 0° = 55°
Which two Integers is 29 between
Answer:
28 < 29 < 30
Step-by-step explanation:
29 - 1 = 28
29 + 1 = 30
Then
The integer 29 is between the two integers 28 and 30
Dylan has 20x + 17 baseball cards. He gives 3x - 2 cards to his friend Tristan. How many cards does Dylan now have?
Answer:
17x-15
Step-by-step explanation:
I think.
Answer:
17x+19
Step-by-step explanation:
20x+17-(3x-2) (Set up the equation)
20x+17-3x+2 (Distribute the negative to both, double negative cancel out)
17x+19 (Combine Like terms)
How many whole numbers are there from 25 to 38?
Answer:
there is 13 whole number between 25 and 38
Please answer the question
A linear model A. always predicts a straight line B. always predicts a curved line C. sometimes predicts a straight line and sometimes a curved line D. usually predicts a straight line
A linear model always represents a straight line which is x + y = c. Then the correct option is A.
What is the linear system?A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.
A linear model is given as
x + y = c
In the linear model, the power of the variable is one and the equation represents on the graph as a line.
More about the linear system link is given below.
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2 cm
6 cm
6 cm
What is the surface area of the solid above?
O A. 14 cm2
O B. 120 cm2
O C. 56 cm2
O D. 84 cm2
Answer:
O B. 120 cm2
Step-by-step explanation:
2×(6×6 + 6×2 + 6×2) = 120 centimeters2
Help me
Circle describe and correct each error
2-4(-8+3x)=82
-2(-8+3x)=82
16-6x=82
-6x=66
X=-11
Answer:
First you have to multiply negative four in parentheses, then add minus two
-4×(-8+3x)=32-12x
2+32-12x=34-12x
34-12x=82
-12x=48
x=-4
X is greater than or equal -3 and less than 5
use x only once in your inequality
Answer:
[tex] - 3 \leqslant x \leqslant 5[/tex]
The area of a square with side length of 5 cm is ___________ cm.
Answer:
25cm
Step-by-step explanation:
5 x 5 its not that hard
A circle has an arc of length 36 with central angle 40°. Find the circumference of the circle.
Answer: 324.02
Step-by-step explanation:
Radius 51.57
Ruby owns a small business selling bagels. She knows that in the last week 4
customers paid cash, 10 customers used a debit card, and 74 customers used a credit
а
card.
If next week, she is expecting 1600 customers, about how many would you expect to
pay with cash? Round your answer to the nearest whole number.
Answer:
73 people
Step-by-step explanation:
4/10/74=88
1600/88=18.18
18.18 x 4= 73
18.18 x 10= 182
18.18 x 74= 1345
Answer: 73
Step-by-step explanation:
If you shift the exponential parent function, f(x) = 2^x , right 2 units, what is the equation of the new function?
Answer:
[tex]g(x)=2^{x-2}[/tex]
Step-by-step explanation:
Translations
For [tex]a > 0[/tex]
[tex]f(x+a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units left}[/tex]
[tex]f(x-a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units right}[/tex]
[tex]f(x)+a \implies f(x) \: \textsf{translated}\:a\:\textsf{units up}[/tex]
[tex]f(x)-a \implies f(x) \: \textsf{translated}\:a\:\textsf{units down}[/tex]
Parent function: [tex]f(x)=2^x[/tex]
Translated 2 units right: [tex]g(x)=f(x-2)=2^{x-2}[/tex]
We know the rule for shifting right(x is changed)
f(x) —» f(x-a)So
here
For a =2
f(x-2)[tex]\sf 2^{x-2}[/tex]If a job has salary of $470 a week, how much would it pay for a year
Answer:
$22560
step 1
$270 × 4month
=$1880 for a month
step 2
$1880×12months
= $22560
An initial deposit of $6300.00 is made into a savings account that compounds 5.2% interest semi-annually. how much is in the account after 10 years?
question 1 options:
$414,740.48
$10,526.59
$10,459.19
$9,289.13
Answer:
$10459.19
Step-by-step explanation:
A convenience store manager notices that sales of soft drinks are higher on hotter days, so he assembles the data in a table, shown above. Use technology to find the equation of the least squares regression line. Then use the regression equation to predict the number of cans sold on a day that is 90*F Round your answer to the nearest whole number.
The regression equation to predict the number of cans sold on a day that is 90°F will be 871.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
A convenience store manager notices that sales of soft drinks are higher on hotter days, so he assembles the data in the table, shown above. Use technology to find the equation of the least-squares regression line.
Then the regression line will be passing through (55, 340) and (84, 780). Then we have
y - 340 = 15.17(x - 55)
Then the regression equation to predict the number of cans sold on a day that is 90°F will be
y - 340 = 15.17 (90 - 55)
y = 871
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I need help with number 8….
Pls help
The equation properties are:
The distributive propertyThe associative property.The associative property.How to determine the properties?
The equations are given as:
3 * (6 + 2) = 3 * 6 + 3 * 25 * (7 * 8) = (7 * 5) * 85 * 3 * 7 = 7 * 3 * 5The distributive property of an equation states that:
a * (b + c) = ab + ac
This means that 3 * (6 + 2) = 3 * 6 + 3 * 2 is represented by the distributive property.
The associative property of an equation states that:
a * (b * c) = (a * b) * c
This means that 5 * (7 * 8) = (7 * 5) * 8 and 5 * 3 * 7 = 7 * 3 * 5 are represented by the associative property.
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Which of the following expressions would give the number of ways to choose a group of 7 from a group
of 15?
151!/7!8!
7!/15!8!
7!15!7!
Answer:
A) 15!/(7!8!)Step-by-step explanation:
We are looking for the combination of 7 out of 15.
This is written as
15C7This is calculated as
15!/(7!(15-7)! = 15!/(7!8!)Correct choice is A
Which parallelogram has an area of 60 square units?
Answer:
Finding the area of each parallelogram, applying the formula, it is found that the parallelogram D has an area of 60 square units
Step-by-step explanation:
Similarly to a rectangle, the area of a parallelogram is given by height multiplied by base, that is:
In item A, the height is of 15 units and the base is of 10 units, thus, the area, in square units, is of .
In item B, the height is of 6 units and the base is of 10.2 units, thus, the area, in square units, is of .
In item C, the height is of 15 units and the base is of 15 units, thus, the area, in square units, is of .
In item D, the height is of 10 units and the base is of 6 units, thus, the area, in square units, is of , which means that this is the correct option.
HEEEEEELP
Solve for x. Leave your answer in simplest radical form.
Answer:
Here is the answer hope it helps:)
What is the value of x?
99°
35°
81
55
46
134
Answer: 46
Step-by-step explanation:
The angles add to form a straight angle, so x+99+35=180. It follows that x=46.
PLEASE SOMEONE HURRY I NEED THE ANSWER PLS
7. After washing your hands there are 300 bacteria on your right hand. The amount of bacteria on each of
your hands is doubling each hour. When will the amount of bacteria on your right hand exceed 2000?
A) 2 hours
B) 2½ hours
C) 3 hours
D) 3½ hours
Answer: maybe c?
Step-by-step explanation:
Uh, 300+300 = 600
600+600= 1200
1200+ 1200= 2400
Which trigonometric function does the graph below represent?
Answer:
(d) 2sin(2θ +π/4) -1
Step-by-step explanation:
The graphed function has a midline of -1 (eliminates choice A). It will be a cosine function shifted right π/8 units, or a sine function shifted left π/8 units.
__
The shift is accomplished by replacing θ with (θ -π/8) in the sine function, or (θ +π/8) in the cosine function. That means, we're looking for an expression that is either of ...
2(cos(2(θ-π/8)) -1 = 2cos(2θ -π/4) -1 . . . . . no match
or
2(sin(2(θ+π/8)) -1 = 2sin(2θ +π/4) -1 . . . . . matches choice D
_____
Additional comment
In the form ...
g(x) = K·f(C(x -A)) +B
the factor K is a vertical stretch factor, C is a horizontal compression factor, A is a right shift, and B is an up shift. In this function, we have its amplitude stretched by a factor of 2, a down shift of 1 unit, and a horizontal shift of π/8. The horizontal compression factor is 2.
__
The amount of horizontal shift for the cosine function is found at the peak nearest the y-axis. The amount of horizontal shift for the sine function is found at the upward midline crossing nearest the y-axis.
Simplify x = cos[2 arcsin(3/5)].
-7/25
7/25
4/5
Answer:
7/25
Step-by-step explanation:
Let [tex]\theta= \arcsin(\frac{3}{5})[/tex] so we have [tex]x=\cos(2\theta)[/tex]
As [tex]\cos(2\theta)=\cos^2\theta-\sin^2\theta[/tex], we'll have [tex]\cos[2\arcsin(\frac{3}{5})]=\bigr[\cos(\arcsin(\frac{3}{5}))\bigr]^2-\bigr[(\sin(\arcsin(\frac{3}{5}))\bigr]^2[/tex]
To determine [tex]\cos(\arcsin(\frac{3}{5}))[/tex], construct a right triangle with an opposite side of 3 and a hypotenuse of 5. This is because since [tex]\theta=\arcsin(\frac{3}{5})[/tex], then [tex]\sin\theta=\frac{3}{5}=\frac{\text{Opposite}}{\text{Hypotenuse}}[/tex]. If you recognize the Pythagorean Triple 3-4-5, you can figure out that the adjacent side is 4, and thus, [tex]\cos\theta=\frac{4}{5}=\frac{\text{Adjacent}}{\text{Hypotenuse}}[/tex]. This means that [tex]\cos(\arcsin(\frac{3}{5}))=\frac{4}{5}[/tex].
Hence, [tex]\cos[2\arcsin(\frac{3}{5})]=(\frac{4}{5})^2-(\frac{3}{5})^2=\frac{16}{25}-\frac{9}{25}=\frac{7}{25}[/tex]
The distribution of professional baseball player salaries has a mean of $3.2 million. an analyst believes that the mean salary for teams on the east coast is different. the analyst randomly selects 50 baseball players from teams on the east coast and records their annual salaries. the mean salary for the players in the sample is $3.9 million with a standard deviation of $2.1 million. a significance test at an alpha level alpha = 0.05 of produces a p-value of 0.02. what is the correct interpretation of the p-value?
a. assuming the true mean salary is $3.2 million, there is a 2% probability that the null hypothesis is true by chance alone.
b.assuming the true mean salary is $3.2 million, there is a 2% probability of getting a sample mean of $3.9 million by chance alone.
c.assuming the true mean salary is $3.2 million, there is a 2% probability of getting a sample mean at least as extreme as $3.9 million by chance alone.
d.assuming the true mean salary is $3.2 million, there is a 98% probability that a sample mean of $3.9 million or one more extreme will occur by chance alone.
Answer:
c
Step-by-step explanation:
please i need someone to help me here
Answer:
See below ~
Step-by-step explanation:
No place where V has been marked∠EOF = 180° - 126° = 54°∠COE = ∠BOF = 126°∡CBF = 180°∡BCD = 54° + 63° = 117°∡BEF = 180° + 54° = 234°A sports store has a container of handballs: 4 blue, 5 red, 8 yellow 9 white and 11 green. If one ball is picked from the container at random,what is the probability that it will be yellow?
Answer:
8/37
Step-by-step explanation:
The total number of handballs in the container is
4+5+8+9+11 = 37
Since there are 8 yellow handballs, the probability of selecting a yellow handball is 8/37.
Help me solve the volume for the sphere?
Answer:
38.77 yd³
Step-by-step explanation:
The volume of the sphere can be determined by using the formula 4πr³/3.
[Where "r" is the radius of the circle].
We are given that:
Radius of circle = 2.1 yd
When we substitute the radius in the formula, we get;
⇒ 4 × π × (2.1)³/3
Let π be substituted as 3.14. Then;
⇒ 4 × π × (2.1)³/3
⇒ 4 × (3.14) × (2.1)³/3
When evaulating the cube of 2.1, we get;
⇒ 4 × (3.14) × (2.1)³/3
⇒ 4 × (3.14) × (2.1) × (2.1) × (2.1)/3
When simplified, we get;
⇒ 4 × (3.14) × (2.1) × (2.1) × (2.1)/3
⇒ 4 × (3.14) × (2.1) × (2.1) × (0.7)
⇒ 4 × (3.14) × (4.41) × (0.7)
⇒ (12.56) × (4.41) × (0.7)
⇒ 38.77272 ≈ 38.77 yd³ (Rounded to nearest hundredth)
Therefore, the volume of the sphere is 38.77 yd³.
PLEASE HELP I WILL MARK BRAINLIEST PLS IT IS URGENT
It used to take Andie 45 seconds to swim 50 meters. Now she swims the same distance in 35 seconds. What is the percent increase in her speed? Round to the nearest whole percent.
35 is 78% of 45
Sure hope this helps you
Find |27|.
27
-27
i don't get it.
Answer:
|27| is 27
Step-by-step explanation:
What are you trying to ask?
Answer:
27
Step-by-step explanation:
Always in absolute value, if the number inside it is negative it will be positive. But if a number is already positive it will stay positive. Absolute value is just another way of making things positive. So always nothing will ever be negative.