If f(x)= 3x^3+17x^2+22x+8 and x+4 is a factor of f(x), then find ALL the zeros of f(x) algebraically.
Answer:
The fully factored form of the function f(x) is : (x+5)(x-1)(x-3)
Step-by-step explanation:
Describe the orbit of a complex number under iteration. Please hurry!
Answer:
The orbit of 0 is the collection of all points (complex numbers) under iteration of x2 + c starting at the seed 0. The fate of the orbit is its eventual behavior. For example, the orbit may tend to a cycle of some period---its fate would then be that cycle. Or it ---may tend to a fixed point.
is 3(a+y(6x))+(x+5) associative property of addition?
Answer:
Yes
Step-by-step explanation:
Your welcome!
Have a good day! :)
Solve the following inequality.
-6 < 2x + 8 = 16
[?] < x =
< x <
Step-by-step explanation:
[tex] - 6 < 2x+8< 16[/tex]
-6<2x+8<16
on subtracting 8 from both sides
-14<2x<8
on dividing 2 on both sides
-7<x<4
-7<x<4
I hope it helped you
Find the area of the window.
Answer:
2512
Step-by-step explanation:
Formula=πr^2/2
(3.14×40×40)/2
=2512
Brian has reduced his cholesterol level by 10% after his last check up. If his original level was 220, what is his cholesterol level now?
Is (10, 8) a solution to this system of equations?
2x - 5y = -20
X + 9y = 14
A
O a. Yes
b. No
Answer: No, there isn't anything showing that it is.
No
Step-by-step explanation:
Substitute value of x (10) & y (8) in both equation
x + 9y =14
10 + 9 x 8 = 82
(doesn't give us the output of 14)
2x - 5y = -20
2 x 10 - 5 x 8 = - 20
(this does, but both have to work)
Solution is at (-4.8,2.1):
2x +18y =28
2x - 5y = -20
(minus)
(18 - - 5 & 28 - - 20 those minus becomes a + )
23y = 48
÷23
y= 48/23
(2.1 to 1d.p)
Substitute y to find x
2x - 5y = -20
2x - 5 x 48/23 = - 20
2x - 240/23 = - 20
+240/23
2x = -220/23
÷2
x = - 110/23
X= -4.8 to 1d.p
(-110/23, 48/23)
Hope this helps!
How to find out what percent a fraction is to another fraction?
For example: 3/8 is _% of 3/4
An item on sale cost 65% of the original price. The original price was $19. Find the sale of the price.
Answer:
12.35
Step-by-step explanation:
Just multiply
[tex]19[/tex]
and
[tex]0.65[/tex]
Because
Orginal Price x Sale Cost= Sale of the Price.
[tex]19 \times 0.65 = 12.35[/tex]
9/25 of 5kg is equal to ?
Answer:
1.8 kg
...............
Answer:
1.8 kg
Step-by-step explanation:
please note the " / " symbol means "divided by"
9 / 25 of 5
to work this out, we first do 5 / 25 and then the answer x 9
so 5 / 25 = 0.2
0.2 x 9 = 1.8
1.8kg or 1,800g
Hope this makes sense. If you need further explanation, let me know!
- profparis
If I helped you, a brainliest would be appreciated :D
A ship travels 40 miles due east, then adjusts its course 12° southward. After traveling 70 miles in that direction, how far is the
ship from its point of departure?
The ship movement is an illustration of distance and bearing
The ship is 31.97 miles from its point of departure
The distance from the point of departure?
The given parameters are:
Distance east = 40 miliesDistance southwards = 70 milesAngle = 12 degreesSee attachment for the image of the above parameters
The distance (x) from the point of departure is then calculated using the following cosine function
a^2 = b^2 + c^2 - 2bc * cos(Ф)
So, we have:
x^2 = 40^2 + 70^2 - 2 * 40 * 70 * cos(12)
Evaluate the exponent and the product
x^2 = 6500 - 5477.63
Evaluate the difference
x^2 = 1022.37
Evaluate the exponent
x = 31.97
Hence, the ship is 31.97 miles from its point of departure
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Can yall help me do this
Formula = 4/3 x pi x r^3
4/3 x 3.14 x 7^3 = 1436.03
answer: a. 1436.03 cubic units
Answer:
answer: a. 1436.03 cubic units
Step-by-step explanation:
I took a test
What is the length of a rectangle if the width is
10 centimeters and the diagonal is 16 centimeters?
Answer:
What is the length of a rectangle if the width is
10 centimeters and the diagonal is 16 centimeters?
Step-by-step explanation:
Help me please
The polygons are similar. Find the value of x.
Answer:
12
Step-by-step explanation:
15/10=1.5
8 times 1.5=12
A person sold a desk for rs. 400 and incurred a loss of 5%
approximately at what price would it be sold so as to earn
a profit of 6%?
a) 420
b)478
c)446
d)432
Answer: C
Step-by-step explanation:
1% of Rs. 400 = 4
10% of Rs.400 = 40
5%= 20
400+20= Rs. 420 was the price the person may have bought it for
To get a 6% profit, we need to add 6% on top of the price the chair was bought for by the owner
so...
420+ 5% +1%
so..
420+20+4= 444
The answer has come to 444 whereas it is not an option as a possible answer and I am unable to see a miscalculation in my working so if anyone spots a mistake it would be much appreciated. I have gotten a value close to one of the possible answers therefore I think the answer most probably should be "C" according to my working, however it may be that the person typing in the question may have written the incorrect options. Either way I have come to a conclusion and if it happens to be a typing error my maths was correct, if no, someone please reach out to me and help me identify where I have gone wrong, Thank you.
Jasmine's credit card has a $2,000 balance that she carried over from last month. assuming her credit card charges an 18 percent annual interest rate, how much will her interest charges be this month?
Using simple interest, it is found that her interest charge this month will be of $30.
Simple InterestSimple interest is used when there is a single compounding per time period.
The amount of interest after t years in is modeled by:
I(t) = Prt
In which:
P is the initial amount.r is the interest rate, as a decimal.In this problem, considering the time in years, the parameters are:
[tex]P = 2000, r = 0.18, t = \frac{1}{12}[/tex]
Hence:
[tex]I(t) = 2000 \times 0.18 \times \frac{1}{12} = 30[/tex]
Her interest charge this month will be of $30.
More can be learned about simple interest at https://brainly.com/question/25296782
To be a member at sal's gym, there is a one-time sign-up fee plus a monthly fee for each month of membership. the table shows the total cost to be a member of the gym for different numbers of months.
The formula for the volume of a cylinder is V=pi * r^2 * h.
Solve the formula for r
Answer:
Step-by-step explanation:
Remark
What you want to do is get r on one side of the equal sign and everything else on the other.
Givens
V = pi r^2 h
Solution
Divide by pi
V/pi = pi r^2 h/pi
V/p = r^2 * h
Divide by h
V / h pi = r^2 h / h Cancel h on the right side. Turn equation around
r^2 = V / h pi
Take the square root of both sides
√r^2 = √(V / h pi )
r = √ (V / h pi)
Answer r =√ (V / h pi)
can y’all help me? it’s gradpoint! will give brainliest answer!!
Answer:
f(0) = 1
Step-by-step explanation:
when x = 0 then 0 ≤ x < 2 at x = 0 then f(0) = 1
2 inches 5 inches and 1/4 inches
Answer:
7 1/4 inches
Step-by-step explanation:
Combining 2 and 5 inches, we get 7 inches.
Combining 7 inches and 1/4 inches, we get 7 1/4 inches.
Answer: 7.25 inches
2+5= 7 inches
1/4=0.25
7+0.25 = 7.25 inches :)
how do i solve this question
A right circular cylinder has a height of 2214 ft and a diameter 225 times its height.
What is the volume of the cylinder?
Enter your answer as a decimal in the box. Use 3.14 for pi and round only your final answer to the nearest hundredth.
Answer:
v = 3,463,118,874
Step-by-step explanation:
2214 * 225 = 498,510
diameter = 498,510
v = pi(d) * h
v = 3.14(498,510) * 2214
v = 1,564,191 * 2214
v = 3,463,118,874
How do u solve this equation? I’m struggling with it.
2a+3c=61
3a+5c=96
Answer:
a=17
c=9
Step-by-step explanation:
balls
Answer:
c=9 and a=17
Step-by-step explanation:
1. 2a+3c=61
2. 3a+5c=96
the LCM between 2 and 3 is 6 so
equation 1 *3
3.6a+9c+183
equation 2*2
4. 6a+10c=192
equation 3 - equation 4
5. -c=-9
c=9
substitute c into equation 1 or 2 to find a
3a+5(9)=96
3a+45=96
3a=51
a=17
Isaiah is jogging near his college. he runs south along capitol street for about 0.75 miles and east along h street for about 1.2 miles. he then turns left and runs along florida avenue until he reaches his starting point. how long is his total run to the nearest hundredth of a mile? a triangle. the sides are capitol street, h street, and they hypotenuse is florida avenue. 2.89 miles 3.37 miles 3.67 miles 3.92 miles
The total distance he travelled to the nearest hundredth of a mile is; B: 3.37 miles
How to work with Pythagoras Theorem?Let F represents his starting point.
Let C represent his position from where he went to east direction.
Let H represent his position from where he went to left towards Florida Avenue.
We are given that;
FC = 0.75 miles
CH = 1.2 miles
∠FCH = 90°(This can be deduced from the question)
By Pythagoras theorem, we have;
FH = √(0.75² + 1.2²)
FH = 1.42
Thus;
Total distance he covered = FC + CH + FH
Total distance covered = 0.75 + 1.2 + 1.42
Total distance covered = 3.37 miles
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Identify the percent of change as an increase or decrease 15 ounces to 5 ounces
Answer:
it us 67%
Step-by-step explanation:
:))))))) good luck
You roll a number cube once. What is the theoretical probability that you roll a 3 or 1? Enter your answer as a simplified fraction.
Answer:
2/6 or 1/3
Step-by-step explanation:
If it was a average 6 sided cube then 1/3 of the numbers are 3 and one.
In a class of 32 students 3/8 of the students walk to school. How many students in the class walk to school?
Answer:
9
Step-by-step explanation:
divide 32 by 3/8.
that is 1..3333
into a number that would be 9
How do I know if a score is good or not on a math map test
Answer:
on the math and reading test, 240 (reading) and 250 (math) are typical top scores.
Step-by-step explanation:
Please help me.
2 ^ (2x - 3) * .5 ^ (x - 1) = 200
Answer:
x = 3
Step-by-step explanation:
[tex] {2}^{(2x - 3)} \ast {5}^{(x - 1)} = 200 \\ \\ \implies \: {2}^{(2x - 3)} \ast {5}^{(x - 1)} =8 \ast \: 25 \\ \\\implies \: {2}^{(2x - 3)} \ast {5}^{(x - 1)} = {2}^{3} \ast {5}^{2} [/tex]
Comparing like terms on both sides, we find:
[tex]{2}^{(2x - 3)}= {2}^{3}\: \: or \:\:{5}^{(x - 1)} = {5}^{2} [/tex]
[tex]\implies \:2x - 3 = 3 \: \: or \: \:x - 1 = 2 \\ \\ \implies \:2x = 3 + 3 \: \: or \: \: x = 1 + 2\\ \\ \implies \:2x = 6 \: \: or \: \: x = 3 \\ \\ \implies \:x = \frac{6}{3} \: \: or \: \: x = 3 \\ \\ \implies \:x = 3 \: \: or \: \: x = 3 \\ \\ \implies \huge \:x = 3 [/tex]
Sophia invests money in an account paying simple interest. She invests $70 and no money is added or removed from the investment. After one year, she has $72.80. What is the simple percent interest per year?
Answer:
72.80= 70(x)^1
x^1 is still x, so leave it at 72.8= 70x
divide 70 from both sides to leave x by itself
x= 1.04
4% interest is payed annually.
Hence, the simple percent interest per year is [tex]4[/tex]%.
What is the simple percent interest?
Simple interest is a quick way of calculating interest. Simple interest is worked out by calculating the percentage amount and multiplying it by the number of periods that the money will be invested for.
Here given that,
Sophia invests money in an account paying simple interest. She invests $[tex]70[/tex] and no money is added or removed from the investment. After one year, she has $[tex]72.80[/tex].
So,
[tex]70x=72.80\\\\x=\frac{72.80}{70}\\\\x=1.04[/tex]
which is [tex]4[/tex]% interest is payed annually.
Hence, the simple percent interest per year is [tex]4[/tex]%.
To know more about the simple percent interest
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