Answer:
amplitude= 2
Step-by-step explanation:
The amplitude of this sine wave is 2 denoted by the coefficient -2 in front of the sin(x). The negative of the coefficient denotes that the sine wave is the opposite of the standard sine wave.
The graph of y=f(x) is shown below. find all the values of x where f(x)=6
Answer:
x = -4, 4
Step-by-step explanation:
When it says find all the values of x where f(x) = 6, it is basically asking for the x values where y would equal 6. So if you look at the graph, y equals 6 when x = -4 and x = 4.
In one hour on a
certain street, 65% of the
cars passed were black.
Write 65% as a decimal.
Answer:
Step-by-step explanation:
0.65
Put these numbers in order from greatest to least. 27/30, -7, 15/25
Answer:
27/30, 15/25, -7
Step-by-step explanation:
id k common sense
Given f (x) = x2 + 6x + 5 and g(x) = x3 + x2 − 4x − 4, find the domain of f over g of x period
{x ∈ ℝ}
{x ∈ ℝ| x ≠ −5}
{x ∈ ℝ| x ≠ −1, −2, 2}
{x ∈ ℝ| x ≠ −2, 2}
The main limiting issue with the domain this function is potentially picking an x-value that makes that denominator equal 0, because dividing by 0 is bad.
So, the domain will be all real numbers, except for those that make g(x)=0.
g(-1) = 0, g(-2)=0, and g(2) = 0, so -1, -2, and 2 must be excluded from the domain.
Your answer is {x ∈ ℝ| x ≠ −1, −2, 2}.
Answer:
[tex]\textsf{Domain}: \quad \{ x \in \mathbb{R}\;|\;x \neq -1, -2, 2\}[/tex]
Step-by-step explanation:
Given functions:
[tex]\begin{cases} f(x)=x^2+6x+5\\g(x)=x^3+x^2-4x-4\end{cases}[/tex]
Factor function f(x):
[tex]\begin{aligned}\implies f(x)&= x^2+6x+5\\&=x^2+x+5x+5\\&=x(x+1)+5(x+1)\\&=(x+5)(x+1)\end{aligned}[/tex]
Factor function g(x):
[tex]\begin{aligned}\implies g(x)&=x^3+x^2-4x-4\\&=(x+1)(x^2-4)\\&=(x+1)(x+2)(x-2)\end{aligned}[/tex]
Therefore the composite function is:
[tex]\implies \dfrac{f(x)}{g(x)}=\dfrac{(x+5)(x+1)}{(x+1)(x+2)(x-2)}[/tex]
A rational function is undefined when the denominator equals zero.
Therefore, the given composite function is undefined when (x+1)(x+2)(x-2)=0:
[tex]x+1=0 \implies x=-1[/tex][tex]x+2=0 \implies x=-2[/tex][tex]x-2=0 \implies x=2[/tex]The domain of a function is the set of all possible input values (x-values).
Therefore, as the composite function is undefined when x = -1, x = -2 and x = 2, the domain is:
[tex]\{ x \in \mathbb{R}\;|\;x \neq -1, -2, 2\}[/tex]Explain why solving a system of equations using graphing is not a useful solution technique?
Answer:
solving a system of equations using graphing is not a useful solution technique because you are plotting on a 2D surface. For example, if you graph the system below, you get the following graph. ... While you can approximate the solution to this system, you cannot say exactly where the intersection point is since it does not fall on integer values on the number lines.
Compare these two functions, where the input variable represents days.
f(t) = 35(3)^t
t: 0, 1, 2, 3, 4
g(t): 70, 105, 140, 175, 210
What is the difference between the function’s values on Day 1?
A.) 0
B.) 35
C.) 70
D.) 105
Answer:
c.) 70
# carry on learning
1. Select all of the descriptions and equations that match diagram A.
A
B
Equations:
5. y = 1.832
Descriptions
1. An increase by
2 An increase by
3. A decrease by
5
6. y = 1.6x
7. y = 0.62
4. A decrease by
5
11
8. y = 0.42
28. Find the volume of a cube measuring 8.10 cm on each
edge. (V = e, where e is the length of each edge.)
Answer:
531.44100
Step-by-step explanation:
A cube volume is V = x^3
Here x = 8.10
8.10*8.10*8.10 = 531.44100
Trusted car rental charges a fee of 20$
Answer:
okay ?
Step-by-step explanation:
you have to say the question
All of the following are true statements except
O 1561 = 56
0 -156] = 56
01-56] = 56
0 -156] = -56
Answer:
01-56] = 56
Step-by-step explanation:
#CarryOnLearning
PLS HELP WILL MARK BRAINLIEST!! TY
Step-by-step explanation:
[tex]\angle{1} = 77°[/tex] because they are vertical angles.
The 77°-angle is supplementary with [tex]\angle{2}[/tex] therefore
[tex]77° + \angle{2} = 180° \Rightarrow \angle{2} =180° -77° = 103°[/tex]
[tex]\angle{3}[/tex] and [tex]\angle{2}[/tex] are vertical angles so
[tex]\angle{3} = \angle{2} = 103°[/tex]
Answer:
103 = angle 3
103 = angle 2
angle 1 = 77
Step-by-step explanation:
angle 1 = 77
angle 2 = angle 3
360 - 77x2 = 206
206/2 = 103
You buy vegan shredded cheese in 5 lb bags. Your recipe for burritos requires 3 ounces of vegan cheese per serving. How many servings can you make per 5 lb bag?
The 26.66 servings you can, make per 5 lb bag if recipe for burritos requires 3 ounces of vegan cheese per serving.
What is unit conversion?It is defined as the conversion from one quantity unit to another quantity unit followed by the process of division, multiplication by a conversion factor.
We have:
You buy vegan shredded cheese in 5 lb bags.
1 lb = 16 ounces
5 lb = 80 ounces
Recipe for burritos requires 3 ounces of vegan cheese per serving.
1 → 3
x → 80
x is the number of serving
x = 80/3 = 26.66
Thus, the 26.66 servings you can, make per 5 lb bag if recipe for burritos requires 3 ounces of vegan cheese per serving.
Learn more about the unit conversion here:
brainly.com/question/14350438
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Answer:
27
Step-by-step explanation:
what is the 6th therm of the sequence 8, 21, 34, 47?
Answer:
60
Step-by-step explanation:
Each number is increasing by 13. Add 13 to 47 and you get 60.
Lance bought a ring at ₱34 500. He sold the ring for ₱27 000. Find the percentage discount. Give your answer correct to the nearest whole number. for my sister-
Answer:
7500
Step-by-step explanation:
34500-27000=7500
PLEASE HELP ITS MATH THANK YOUUUU
Answer:
Step-by-step explanation: First you need way to subt or something that’s the first thing to figure out the if its 5+10=15 ofc 10-5=5 and 10/5=2
Recently, a nurse commented that when a patient calls the medical advice line claiming to have the flu, the chance that he or she truly has the flu (and not just a nasty cold) is only about 4%. Of the next 25 patients calling in claiming to have the flu, we are interested in how many actually have the flu.
Find the probability that at least four of the 25 patients actually have the flu.
The probability that at least four of the 25 patients actually have the flu is 0.013
What is Probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.
The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.
The degree to which something is likely to happen is basically what probability means.
The probability P(X ≥ 4).
By De Morgan's Law, this is equal to 1-P(X<4).
If we add up the values of x=0,1,2,3 from our pmf,
[tex]$p_x = \binom{25}{x}(0.04)^x(1-0.04)^{25-x}$[/tex]
So, x=4
P(4) = 25! / 4! ( 25- 4)! x [tex]0.04^4[/tex] [tex](1 - 0.04)^{25- 4}[/tex]
P(4) = 0.013
Hence, the probability that at least four of the 25 patients actually have the flu is 0.013
Learn more about Probability here:
https://brainly.com/question/11234923
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8j - k + 14 when j = 0.25 and k= 1
Hello There!
All we must do is plug in the numbers and solve:
8(0.25)-1=14=2-1+14=1+14=15
Hope it helps
can someone help me with question 6,7 I don’t really get it!
[tex] \frac{13}{16} x - \frac{3}{8} x = \frac{2}{5} + \frac{3}{10} \\ = > \frac{13x - 6x}{16} = \frac{4 + 3}{10} \\ = > \frac{7x}{16} = \frac{7}{10} \\ = > x = \frac{7}{10} \times \frac{16}{7} \\ = > x = \frac{16}{10} \\ = > x = \frac{8}{5} [/tex]
[tex]s = \frac{2x + t}{r} \\ = > rs = 2x + t \\ = > rs - t = 2x \\ x = \frac{rs - t}{2} [/tex]
I NEEDD HELP PLS AND THANK YOU
Answer:
1/9
Step-by-step explanation:
Answer:
1/9
Step-by-step explanation:
When it has a bar over it, that means that the one continues. So the actual decimal is 0.11111111111. To find the answer, divide all the rational numbers. I'll do A for example. A. 1/11 (1 divided by 11) which is .09090909. It's close, but not the answer. Now, try the others.
The actual decimal is impossible to write out as it is infinite, so it is represented with a bar on top of the repeating value. \[0.03\]|
If i= √-1 , what is the value of i^3
A. -1
B. i
C. 1
D. -i
Answer:
The choice D. – i
Step-by-step explanation:
[tex]i \times i \times i = \sqrt{ - 1} \times \sqrt{ - 1} \times \sqrt{ - 1} \\ = - 1 \times \sqrt{ - 1} \\ = - i[/tex]
I hope I helped you^_^
How do I do this? Please help!
Answer:
when evaluate the function with the 1, then you get -2
and when evaluate with the 6, then you get 3/4
Step-by-step explanation:
the domain for this function is , [-3, 2) U (2, infinite)
The principal of Fremont High School is putting together a table that lists student attendance at four types of events held at the school last year. How many of the events' total audience members attended musical concerts last year?
Answer:
Step-by-step explanation:
The answer is 2050
What is the midpoint of AB?
Answer:
[tex](-4, -\frac{1}{2})[/tex]
Step-by-step explanation:
Hi there!
We are given the line segment, with the end points AB
The coordinates of A are (-5, -4), and the coordinates of B are (-3, 3).
We want to find the midpoint of the line segment AB
The midpoint formula is given as [tex](\frac{x_1+ x_2}{2}, \frac{y_1 + y_2}{2})[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are coordinates
We have two coordinates, which is what we need, but let's label their values to avoid any confusion:
[tex]x_1=-5\\y_1=-4\\x_2=-3\\y_2=3[/tex]
Now substitute those values into the formula:
[tex](\frac{x_1+ x_2}{2}, \frac{y_1 + y_2}{2})[/tex]
[tex](\frac{-5+ -3}{2}, \frac{-4+ 3}{2})[/tex]
Now simplify the numerator and denominator
[tex](\frac{-8}{2}, \frac{-1}{2})[/tex]
Simplify again:
The midpoint is (-4, [tex]-\frac{1}{2}[/tex])
Hope this helps!
A basketball team played six games and those games the team won by seven points lost by 20 one by eight one by 11 lost by 3 and one by nine which was the meaning amount by each the team won or lost over a six game
Answer: 2
Step-by-step explanation 7 - 20 + 8 + 11 - 3 + 9 = 12 divided by 6 because there are 6 numbers equals 2
Answer 14 super easy pleeeeaaase help
Answer:
change in vertical / change in horizontal
4 / 18 = 2 / 9
What is the value of g(-4)?
See image
Answer:
Step-by-step explanation:
[tex]\lim_{8x \to \infty} 9_y=10[/tex]
Hey guys, please answer this question for me, Im in a very important test, i will give u thanks!
Step-by-step explanation:
the first one and the fourth is your answer.
first - 2094tenths + 5hundredths.
fourth- 20+9.045.
hope this helps you.
Answer:
a)
d)
All these answers are incorrect
PLS HELP WILL MARK BRAINLIEST!! TY
Answer:
x = 11
Step-by-step explanation:
pls mark me brainleist :))
Answer:
x=11
Step-by-step explanation:
31+4+5x=90
Combine like terms
35+5x=90
Subtract 35 from each side
5x=55
Divide by 5
x=11
Which list shows the contestants in order by their completion times from fastest to slowest?
Answer:
Leah, Reba, Alexis, Kari
June has 42 sports books,85 mystery books and 69 nature books. She arranges her books equally on 7 shelves.How many books are on each shelf
Answer:
28
Step-by-step explanation:
42 sports 85 mystery 69 nature and 7 shelves add all up and divide by 7