Answer:
[tex]f(x) = 0.2(x^3 + 5x^2 + 16x + 80)[/tex]
Step-by-step explanation:
Zeros of a function:
Given a polynomial f(x), this polynomial has roots [tex]x_{1}, x_{2}, x_{n}[/tex] such that it can be written as: [tex]a(x - x_{1})*(x - x_{2})*...*(x-x_n)[/tex], in which a is the leading coefficient.
Zeros of −5, 4i, and −4i
This means that [tex]x_1 = -5, x_2 = 4i, x_3 = -4i[/tex]. So
[tex]f(x) = a(x - x_{1})*(x - x_{2})*(x-x_3)[/tex]
[tex]f(x) = a(x - (-5))*(x - 4i)*(x - (-4i))[/tex]
[tex]f(x) = a(x + 5)(x - 4i)(x + 4i)[/tex]
[tex]f(x) = a(x + 5)(x^2 - 16i^2)[/tex]
Since [tex]i^2 = -1[/tex]
[tex]f(x) = a(x + 5)(x^2 + 16)[/tex]
[tex]f(x) = a(x^3 + 5x^2 + 16x + 80)[/tex]
Has a value of 40 when x=3
We use this to find a, which means that we have [tex]x = 3, f(x) = 40[/tex]. So
[tex]a(3^3 + 5*3^2 + 16*3 + 80) = 40[/tex]
[tex]200a = 40[/tex]
[tex]a = \frac{40}{200} = \frac{1}{5} = 0.2[/tex]
So
[tex]f(x) = 0.2(x^3 + 5x^2 + 16x + 80)[/tex]
sin 0
4. Find tan0 .
A.
B.
C.
D.
Answer:
A
Step-by-step explanation:
Answer:
D. 9/40 would be the answer.
Step-by-step explanation:
formula
sinQ= opp/hyp (9/41)
TanQ= opp/adj (which mean 9 /40)
S) A $4.00 sales tax is charged for a $50.00 purchase. At this rate, what is the sales tax for a $1200.00
purchase?
Please help me :) I’m down bad
Answer:
$96
Step-by-step explanation:
4/50=.08 which is sales tax rate
1200X.08=$96 sales tax
4x-3=9 what does x equal show work
Answer:
x = 3
Step-by-step explanation:
4x - 3 = 9
4x = 9 + 3
4x = 12
x = 12/4
x = 3
A 30°- 60°- 90° triangle is shown below. Find the length of a and b. * leave the answer in simplified radical form*
Step-by-step explanation:
a = 12√3
b = 24
hope this helps
Find the value of x.
Answer:
x = 63
Step-by-step explanation:
All triangle angles add up to 180 so:
x + 62 + 55 = 180
x + 117 = 180
x = 180 - 117
x = 63
A restaurant bill is $21. You leave a 15% tip. Which of the following represents the amount a customer pays including the tip of 15% if the bill was dollars?
a. 0.15b
b. 15b
c. b + 0.15b
d. 1.15b
e. 1.015b
f. b + 15/100b
g. b + 0.15
What is the average rate of change of the function below on the interval [0, 0.5]?
F(x)= x^2+7x+10/ x^2 - 7x+6
A. 8.333
B. 6.333
C. 7.666
D. 6.667
Answer:
add all the numbers and divide by 4
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
F(0)= 0^2+7(0)+10/ 0^2 - 7(0)+6 = 1.67
F(0.5)= 0.5^2+7(0.5)+10/ 0.5^2 - 7(0.5)+6 = 5
[tex]RateofChange = \frac{F(0.5) - F(0)}{0.5 - 0} = 6.667[/tex]
Choose the graph of the following function:
f(x) = 2 cos(3x)
Graph A
-4
Graph B
4
3
MAAILMA
Answer:
Graph B
Step-by-step explanation:
Let take a look of original graph, cos(x)
The amplitude of that graph is 1.
The ampictude of both graphs is 2 so that means the amplitude transformation, 2 has been applied.
We need to find the x intercept.
[tex] \cos(0 ) = 1[/tex]
so
[tex]2 \cos(3(0)) = 2[/tex]
The graph should intersecting at point
0,2 so the answer is
Graph B
Answer:
B on edge
Step-by-step explanation:
(2, 4) after a reflection over the x-axis?
Point Q was rotated about the origin (0,0) by -165
Answer:D
Did it on khan academy
1. Of the 100 fourth-grade students at Patterson Elementary, 57 are girls. What portion of the fourth-grade class at Patterson elementary is female? Express your answer as a decimal.
Answer:
girls 57/100 57% 0.57
Step-by-step explanation:
boys 43/100 43% 0.43
all the ways
The portion of girls in the fourth grade class will be 57/ 100 and in the decimal form it will be 0.057.
It is given that there are total 100 students at a school in fourth grade out of which 57 are girls.
We have to find out the portion of girls in the fourth grade class and express it to decimal.
What is the decimal fractions ?
Decimal fractions are the fractions in which the denominator must be 10 or a multiple of 10 i.e., 100, 1000, 10000, and so on.
As per the question ;
57 are girls out of total 100 students in a class at a school.
The number of boys will be ;
= 100 - 57 = 43
The no. of girls in fraction form will be ;
= 57 / 100
and in the decimal form it will be ;
= 0.057
The no. of boys in decimal form will be ;
= 47 / 100
= 0.047
Thus , the portion of girls in the fourth grade class will be 57/ 100 and in the decimal form it will be 0.057.
To learn more about fraction and decimal form click here ;
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Maddy and Jake create a game for the school fair.
Contestants should spin the wheel and if the spinner lands on a red section, the contestant wins a prize. Based on the theoretical probability of winning (12.5%), how many winners should Maddy and Jake expect if they have 200 contestants?
Answer:
25 winners
Step-by-step explanation:
g(x)=2x-x when x=-5
What is the answer to this please solve
9514 1404 393
Answer:
-5
Step-by-step explanation:
The given linear equation simplifies to ...
g(x) = 2x -x
g(x) = x
For x = -5, this is ...
g(-5) = -5
Find the conjugate and product of the following surds
1) i3 + i5
2) i3 + 9
3) - i2 + 1
4) - 3 + iy
Answer:
(1) Conjugate = -i8
(2) Conjugate = -i3+9
(3) Conjugate = i2+1
(4) Conjugate = -3-iy
Step-by-step explanation:
From the question,
Conjugate of a surd is formed by changing the sign between a rational number and a surd in an expression.
The conjugate of a surd is obtained by changing the sign of the surd in the expression.
Given
(1) i3+i5 = i8
Conjugate is -i8
(2) i3+9
Conjugate is -i3+9
(3) -i2+1
Conjugate is i2+1
(4) -3+iy
Conjugate is -3-iy
17. Which economic instability becomes a problem during a recession?
A. Producer Price Index
B. Inflation
C. Unemployment
A box of cherries weighs 2 1/4 pounds.
If you bought 5 boxes, what is the total
weight of the purchased cherries?
Answer:
The total weight of the purchased cherries is [tex]11\frac{1}{4}[/tex] pounds.
Step-by-step explanation:
Multiply [tex]2\frac{1}{4}[/tex] by 5.
[tex]2\frac{1}{4} * 5 = 11 \frac{1}{4}[/tex]
Answer:
11.25 or 45/4
Step-by-step explanation:
2 1/4 times 5
Jeremy will roll a number cube, numbered 1–6, twice. What is the probability of rolling an odd number, then a number bigger than 2?
Answer:
1/12
Step-by-step explanation:
The probability of rolling an odd number = 3/6
The probability of rolling 2 after an odd number =
1/6
3/6 x 1/6 = 3/36
3/36 = 1/12 (after simplified)
4)
The first play of a football game resulted in a loss of 9 yards. Which absolute value statement describes the loss of yards?
Answer:
|-9| = 9
That is the absolute value for the loss of yards
64th term of arithmetic sequence 29,38,47
Answer:
596
Step-by-step explanation:
Each term of the arithmetic sequence is 9 greater than the previous term.
Since the first term is 29, then 29+9 = 38, the second term in the sequence. Likewise, the third term, 47, is 9 greater than the previous term, 38. 47 is also 2(9) greater than the first term, 29.
Therefore, finding the 64th term in the sequence would be the same thing as adding 9 to the first term (29) a total of n-1, or 64-1 times. Instead of adding, one can simply multiply 29 by 63, since 64-1 = 63.
29 + 63(9)
= 29 + 567
= 596
So, the 64th term of the arithmetic sequence is 596.
17% adults favor the use of unmanned drones by police agencies. Twelve U.S. adults are randomly selected. Find the probability that the number of U.S. adults who
favor the use of unmanned drones by police agencies is (a) exactly three, (b) at least four, (c) less than eight
(a) P(3)=(Round to three decimal places as needed)
(b) P(x24) =(Round to three decimal places as needed.)
(c) P(x<8)=(Round to three decimal places as needed.)
Answer:
Following are the solution to these question:
Step-by-step explanation:
Following are the binomial distribution with parameters:
[tex]n = 12\\\\p = 0.24[/tex]
For point a:
[tex]\to P(X = 3) = binom.dist(3, 12, 0.24, False) = 0.2573[/tex]
For point b:
[tex]\to P(X > 4) = 1 - P(X < 3) = 1 - binom.dist(3, 12, 0.24, True) = 0.3205[/tex]
For point c:
[tex]\to P(<8) = binom.dist(7, 12, 0.24, True) = 0.9979[/tex]
Plz help me!. Well mark brainliest if correct!
Answer:
Point W
Step-by-step explanation:
2 1/3 x 4 4/5as a fraction
Answer:
11 1/5
Step-by-step explanation:
2 1/3 × 4 4/5
=7/3 × 24/5
=56/5
=11 1/5
Which lines have a y-intercept at (0,4)?
Choose all answers that apply:
А
y=-3x +4
B
y = 4x + 7
y = 5 + 4x
y = 4-2
KHAN ACADEMY
Answer:
y=-3x+4
Step-by-step explanation:
Using the formula y=mx+b
mx= slope b= y-intercept
hence,
y=-3x+4 has a y-intercept of (0,4)
Answer:
A y=3x +4
Step-by-step explanation:
since when x=0 then y will be at +4
Y=3(0)+
The sales tax rate is 5%. If Tucker buys a set of golf clubs priced at $245.00, what will be the total cost including tax?
5% of 245 is 12.25
245+12.25= 257.25
$257.25
which system of equations has no solution?
find the missing side of each triangle
Answer and Step-by-step explanation:
To solve this, we have to find x.
To find x, we have to use the Pythagorean theorem.
The Pythagorean theorem is:
[tex]A^2 + B^2 = C^2[/tex]
Where A is a side, B is a side, and C is the hypotenuse.
Plug in the values accordingly.
[tex]6^2 + 8^2 = x^2\\\\\\\\36 + 64 = x^2\\\\\\\\\\100 = x^2\\\\\\\\10 = x[/tex]
The answer is 10 = x.
#teamtrees #PAW (Plant And Water)
to make 20 pancakes you must use 7 eggs. How many eggs are needed to make 54 pancakes?
Answer:
18.9 eggs
Step-by-step explanation:
54÷20= 2.7
2.7 ×7=18.9
let us have -2 and 1 what will be the answer ??
Answer:
[tex] - 2 + 1 \\ = - 1[/tex]
Assuming this is what you asked since your question is not clear.
It is not clear what operation should be performed on -2 and 1. Please provide more information or context so that a specific answer can be provided.
It is unclear what operation you want to perform with -2 and 1. Please specify the operation (addition, subtraction, multiplication, or division) so I can provide the correct answer.
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What repeating decimal does
8/9 equal to in value
Jay bought a guitar on sale at 45% off. The original price was $576.75.
(a)
Find the amount of discount. (Round your answer to the nearest cent.)
$
(b)
Find the sale price. (Round your answer to the nearest cent)
Answer:
317.21 (sales price)
259.53 (discount amount)
Step-by-step explanation:
First, we need to divide.
576.75/100=5.7675 (note that I will be rounding at the end)
5.7675 x 55 (100-45) = 317.2125
Rounds to: 317.21
Now, we need to find the discount amount.
576.75
-317.21
=259.53