Answer:
f(x) has three real roots and two imaginary roots.
Step-by-step explanation:
The function is degree 5, so will have 5 roots in total. 2 real roots and one complex root are shown. Complex roots come in pairs, so there will be one more, but cannot be two more.
f(x) has three real roots and two imaginary roots.
__
All five roots must be accounted for. This leaves out the first two choices. The given complex root eliminates the third choice.
Answer:
D
Step-by-step explanation:
did the test
Sifu has 6 girls and 8 boys in his karate class. He randomly selects one student
to demonstrate a self-defense technique. Find the probability of each event
Answer:
half-class
Step-by-step explanation:
Answer:
42.86%
Step-by-step explanation:
Event = Girl
Therare 6 girls and 8 boys, which are thus 6+8 =14 students in total and thus there are 14 possible out comes.
# of possible outcomes = 14
There are 6 girls in the class and thus there are 6 favorable outcomes.
# of favorable outcomes = 6
The probability is the number of favorable outcomes divided by the number of possible outcomes.
P(Girl) = # of favorable outcomes
# of possible outcomes
= [tex]\frac{6}{14}[/tex]
= [tex]\frac{3}{7}[/tex]
≈ 0.4286
= 42.86%
Result
[tex]\frac{3}{7}[/tex] ≈ 0.4286 = 42.86%
Sarah buys a new car for $26,500 and pays 3% down payment the terms of her loan 4.5% apr over 4 years. How much is her monthly payment?
A. $586.16
B.558.99
C.562.61
D.549.74
Answer:
i guess it's will be C
Step-by-step explanation:
I need helpnwith this problem.
Help pls ASAP
SOLVING QUADRATIC EQUATIONS BY FACTORING
Answer:
Down, Down, Right, Right, diagonal left, up, right
Step-by-step explanation:
Not gonna do every equation here tho lol
Which expression is equivalent to w • 35?
Answer:W= B-3 or 3=B-W
Step-by-step explanation:
Which of the following numbers can be expressed as a decimal that terminates? 3/2,2/3,3/4,5/7
Answer:
Step-by-step explanation:
An example of one fraction that does NOT terminate is 2/3.
2/3 = 0.666666666666666 .... That's the easy way to tackle the problem. Pick out the ones that don't terminate.
5/7 is the other one. It does not terminate either. It has 6 digits in a block that keeps on repeating itself forever.
5/7 = .571428 571428 which goes on forever.
So the two that do terminate are
3/2 which = 1.5
3/4 which = 0.75
[tex]6 \times 2[/tex]
please I need ur help
Answer:
12
Step-by-step explanation:
You do 6+6, or 2+2+2+2+2+2=12
Help
This is a a or b question
Answer:
A. (A) Yes
B. (A) Yes
C. (B) No
Step-by-step explanation:
A is Categorical because it is not based on numbers.
B is Categorical because it is not based on numbers.
C is Not Categorical because it is based on numbers.
What is the product?
(38b* )-822
Answer:
[tex]\boxed{\sf D)\:-24a^3b^7}[/tex]
Step-by-step explanation:
[tex]\sf (3a^2b^4)(-8ab^3)[/tex]
We'll use rule of exponents to simplify expression.
[tex]\sf 3^1a^2b^4(-8)^1a^1b^3[/tex]
Now, use the commutative property of multiplication.
[tex]\sf 3^1(-8)^1a^2a^2b^4b^4[/tex]
In order to multiply power of the same base, we add their exponents.
[tex]\sf 3^2(-8)^1a^{2+1}b^{4+3}[/tex]
→ Add exponents:
[tex]\sf 3^1(-8)^1a^3b^7[/tex]
→ Multiply 3* -8
[tex]\sf -24a^3b^7[/tex]
__________________________________________
Solve the following proportions for v V/5=13/17
a bike cost 129.90 what is your total with a tax of 5%
Answer:
so you just use the equation to get the formula and extract the common denominator
Step-by-step explanation:
because i said so
Given that the points (-32, - 10) and (-74, 11) lie on a line, what is the
equation of the line?
The equation of the line is:
[tex]y=\frac{-1}{2}x-26[/tex]
The point-slope equation of a line is given as:
[tex]y-y_1=m(x-x_1)[/tex]
where m represents the slope, and is calculated as:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
For the line passing through the points (-32, - 10) and (-74, 11)
[tex]x_1=-32, y_1=-10, x_2=-74, y_2=11[/tex]
Substitute these points into the slope formula to get the slope of the line
[tex]m=\frac{11-(-10)}{-74-(-32)} \\\\m=\frac{11+10}{-74+32} \\\\m=\frac{21}{-42} \\\\m=\frac{-1}{2}[/tex]
Substitute [tex]m=\frac{-1}{2}, x_1=-32, y_1=-10[/tex] into the line equation
[tex]y-(-10)=\frac{-1}{2}(x-(-32))\\\\y+10=\frac{-1}{2}x-16\\\\y= \frac{-1}{2}x-16-10\\\\y=\frac{-1}{2}x-26[/tex]
The equation of the line is:
[tex]y=\frac{-1}{2}x-26[/tex]
Learn more on equation of a line here: https://brainly.com/question/13763238
Freddy’s savings account went from $520 to $321 after he purchased a new bike. What was the percent decrease? *
If my calculations are correct, the percentage decrease faced here is roughly 38.2%. Based on the calculations, the bicycle costs 199$ and when the cost is subtracted from 520, you would create the percentage of 38.2%.
Salt water gargle can temporarily relieve a sore throat. One recipe calls for 3/4 teaspoon of salt in 1 cup of water. A second recipe calls for 1 teaspoon of salt in 2 cups of water. Which recipe will taste saltier?
Answer:
The first recipe - 3/4 tsp of salt in 1 cup of water
Step-by-step explanation:
1st recipe Salt per cup = 3/4 tsp / 1 cup = 3/4 tsp salt
2nd recipe Salt per cup = 1 tsp / 2 cups = 1/2 tsp salt
3/4 tsp > 1/2 tsp, hence the first recipe is saltier
when is a supplier standards form required to be provided to the beneficiary cvs
Answer:
AOB forms must be collected every time a beneficiary fills a Medicare part b prescription
A random variables X and Y are distributed according to the joint PDF. The value of constant a = _______.f(x,y)=ax if 1<=1x<=y<=2 and 0 otherwise
======================================================
Explanation:
PDF = probability density function
The given joint PDF is
[tex]f(x,y) = \begin{cases}ax \ \ \ \text{ if } 1 \le x \le y \le 2\\0 \ \ \ \ \ \text{ otherwise}\end{cases}[/tex]
Let's focus on the [tex]1 \le x \le y \le 2[/tex]. Specifically the x term for now. Erasing out the y term, we have the inequality [tex]1 \le x \le 2[/tex] which says x is between 1 and 2, inclusive. We have almost the same story for y, but there's another condition attached to it: y must also be equal to or larger than x.
So let's say x = 1.5. This would mean [tex]1.5 \le y \le 2[/tex]. As another example, x = 1.7 leads to [tex]1.7 \le y \le 2[/tex]. In general, we would say [tex]x \le y \le 2[/tex] where x is between 1 and 2.
As x gets bigger, the range of possible y values gets smaller. If x = 2, then y has no choice but to be 2 as well.
-----------------
Based on that, we'll have a double integral that looks like this:
[tex]\displaystyle V = \int_{1}^{2}\int_{x}^{2}f(x,y)dydx\\\\[/tex]
The outer integral handles the x terms that range from 1 to 2, describing [tex]1 \le x \le 2[/tex]. Note the dx on the outside. The order of the dy and dx matters.
On the inside, we have the integral for dy ranging from x to 2 to describe the interval [tex]x \le y \le 2[/tex]
To have f(x,y) be a PDF, the volume under the f(x,y) surface must be 1, where the volume is based on the bounds set up. So we must have V = 1. We'll use this later.
-----------------
Let's simplify the double integral.
We'll start by computing the inner integral with respect to y.
[tex]\displaystyle V = \int_{1}^{2}\int_{x}^{2}f(x,y)dydx\\\\\displaystyle V = \int_{1}^{2}\int_{x}^{2}\left(ax\right)dydx\\\\\displaystyle V = \int_{1}^{2}\left(axy\Bigg|_{x}^{2}\right)dx\\\\\displaystyle V = \int_{1}^{2}\left(ax(2) - ax(x)\right)dx\\\\\displaystyle V = \int_{1}^{2}\left(2ax - ax^2\right)dx\\\\[/tex]
Then we'll finish it off by integrating with respect to x.
[tex]\displaystyle V = \int_{1}^{2}\left(2ax - ax^2\right)dx\\\\\displaystyle V = \left(ax^2 - \frac{1}{3}ax^3\right)\Bigg|_{1}^{2}\\\\\displaystyle V = \left(a(2)^2 - \frac{1}{3}a(2)^3\right) - \left(a(1)^2 - \frac{1}{3}a(1)^3\right)\\\\\displaystyle V = \left(4a - \frac{8}{3}a\right)-\left(a - \frac{1}{3}a\right)\\\\[/tex]
[tex]\displaystyle V = 4a - \frac{8}{3}a-a + \frac{1}{3}a\\\\\displaystyle V = 3a - \frac{8}{3}a + \frac{1}{3}a\\\\\displaystyle V = \frac{9}{3}a - \frac{8}{3}a + \frac{1}{3}a\\\\\displaystyle V = \frac{9-8+1}{3}a\\\\\displaystyle V = \frac{2}{3}a\\\\[/tex]
Side note: We don't have to worry about the "plus C" integration constant when working with definite integrals.
Recall that V = 1. So,
[tex]\displaystyle V = \frac{2}{3}a\\\\\displaystyle \frac{2}{3}a = 1\\\\\displaystyle a = \frac{3}{2} = 1.5\\\\[/tex]
a = 3/2 is the final answer.
please i need help with this
Answer:
1.) Smith
2.) Johnson
Answer:
Step-by-step explanation:
A group of 90 students plan to go camping over the weekend. At the last minute, some of the students decide not to go. The students who do go separated into four camps, where [tex]\frac{1}{7}[/tex] of the students stay at Hill Camp; [tex]\frac{1}{3}[/tex] of the students stay at Forest Camp; [tex]\frac{1}{4}[/tex] of the students stay at Field Camp; and the remaining students stay at Lake Camp. How many students were at Lake Camp?
Using fractions, it is found that of the students that went camping, [tex]\mathbf{\frac{23}{84}}[/tex] were at Lake Camp.
The students who went camping are divided according to the following fractions:
[tex]\frac{1}{7}[/tex] stayed at Hill Camp.[tex]\frac{1}{3}[/tex] stayed at Forest Camp.[tex]\frac{1}{4}[/tex] stayed at Field Camp.The remaining x stayed at Lake Camp.The sum of all these fractions is 100% = 1, hence:
[tex]\frac{1}{7} + \frac{1}{3} + \frac{1}{4} + x = 1[/tex]
[tex]\frac{12 + 28 + 21 + 84x}{84} = 1[/tex]
[tex]84x + 61 = 84[/tex]
[tex]84x = 23[/tex]
[tex]x = \frac{23}{84}[/tex]
Of the students that went camping, [tex]\mathbf{\frac{23}{84}}[/tex] were at Lake Camp.
A similar problem is given at https://brainly.com/question/24372153
please help. one algebra question for 20 points
Answer:
f(-18) = -5
Step-by-step explanation:
Substitute−18forxiny=
1/3 x+1:
y= 1/3x+1
y= 1/3(−18)+1
y=−5(Simplify both sides of the equation)
The chart below shows the number of tickets to the annual teachers VS.
students basketball game. What was the most number of tickets sold?
A. 12
B. 31
C. 40
D. 60
The most no. of tickets sold is 60.
What is bar graph?The pictorial representation of data in the form of vertical or horizontal rectangular bars, whose length is proportional to the data's measurement, is known as a bar graph. Data are typically grouped in this way. Bar charts are another name for them. In statistics, bar graphs are one way to handle data.
Given the graph between total student and number of ticket sold,
where students shown in Y axis and tickets sold in X axis,
as Shown in graph maximum number of tickets sold are 51 to 60
Hence the maximum number of ticket sold is 60.
Learn more about bar graph;
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#SPJ2
what is 12-(-3)-2(4)
Answer:
7
Step-by-step explanation:
12-(-3)-2(4)
12-(-3)-8
15-8=7
The automobile drove 50 mph and had gone 200 miles when the airplane set out in pursuit. It took 4 hours to overtake the car. What was the speed of the airplane?
100 mph per hour
Step-by-step explanation:
solution
speed of auto mobile=50mph
distance already traveled when the airplane took out in pursuit=200miles
time taken to overtake the car=4 hours
Now,
let the speed of airplane be X
X=50×4+200
or,X=200+200
or,X=400
or, X=400÷4
Therefore, X=100
a carpet cleaning service charges a one-time service fee of $100 with an additional $15 per hour for their business. write a linear equation that represents the total cost (y) for the hours work (x)
Answer:
The answer is y= 100 +15x
Step-by-step explanation:
You start with a service fee of $100
$15 per hour
x because the amount of hours can vary
y which is the total cost
y= 100+ 15x
2. Locate fire stations so that each district has a fire station in it or next to it, formulate this problem to minimize the number of fire stations needed.
Answer:
hello which grade question i
Help help math math math
Answer:
113
Step-by-step explanation:
The supplement of angle 3 is congruent to 67, because they are corresponding angles. After you subtract the supplement from 180, you should get angle 3
180-67=113
Answer:
∠3 measures 113°
Step-by-step explanation:
These are consecutive interior angles. It's difficult to explain in words because none of the lines are marked in any way, but I marked the angles in the attached image. Because both downward facing lines are parallel, both sets of corresponding red and blue angles are congruent.
∠3 corresponds to the angle supplementary to the 67° angle. Supplementary angles add up to 180°, so ∠3 and 67° also have to add up to 180°. Hopefully my image makes that a little more clear.
[tex]x+67=180\\x=113[/tex]
∠3 measures 113°
Please help! photo is attached with the problem.
A self-storage center has many storage rooms that are 6 ft wide, 10 feet deep, and 12 ft high. What is the volume of the room?
The volume of the storage room is the amount of space in the storage room, and it is 720 cubic feet
The dimensions are given as:
[tex]Width = 6ft[/tex]
[tex]Depth = 10ft[/tex]
[tex]Height = 12ft[/tex]
The volume of the storage room is the product of the dimensions.
So, we have:
[tex]Volume= Width \times Depth \times Height[/tex]
Substitute values for Width, Depth and Height
[tex]Volume= 6ft \times 10ft \times 12ft[/tex]
Multiply the dimensions
[tex]Volume= 720ft^3[/tex]
Hence, the volume of the storage room is 720 cubic feet
Read more about volumes at:
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4) Change the recurring decimal 0.18 to a fraction. (2marks)
You must show all your working.
Answer:
18/100 or 9/50
Step-by-step explanation:
First, put 0.18 over 100 because there are 2 digits in the decimal, so you convert it to 18/100. Then, simplify it, and because the GCF is 2, divide the numerator and denominator. The final fraction ins 9/50.
−x + 2y − z = 0
−x − y + 2z = 0
2x − z = 8
Step-by-step explanation:
several possibilities to solve this.
let's start with subtracting the second equation from the first
-x + 2y - z = 0
- -x - y +2z = 0
-------------------------
0 3y - 3z = 0
y - z = 0
y = z
now we use this in e.g. the first equation :
-x + 2z - z = 0
-x + z = 0
z = x (therefore, also x = y)
now we use this in the third equation :
2x - x = 8
x = 8 = y = z
find all complex solutions of 5x^2+5x+4=0
Answer:
-1/2 + i/10 sqrt(55) , -1/2 - i/10 sqrt(55)
Step-by-step explanation:
5x^2+5x+4=0
a=5 b= 5 c=4
Using the quadratic formula
-b ± sqrt( b^2 -4ac)
---------------------------------
2a
-5 ± sqrt( 5^2 - 4(5)(4))
----------------------------------
2(5)
-5±sqrt( 25 - 80)
----------------------------
10
-5± sqrt(-55)
--------------------------
10
-5/10 ± 1/10 i sqrt(55)
-1/2 + i/10 sqrt(55) and -1/2 - i/10 sqrt(55)
Answer:
x= -5 ± i√55 / 10
Step-by-step explanation:
hope i helped