Answers
Answer:
c) [tex]\frac{x-2}{x+6}[/tex]
Step-by-step explanation:
When given that function (f) is the following,
[tex]f(x)=\frac{x+2}{x^2+4x-12}[/tex]
The wisest move to first make is to factor the expression, factoring is the process by which one rewrites a quadratic expression as the product of two linear expressions,
[tex]f(x)=\frac{x+12}{(x+6)(x-2)}[/tex]
If is given that function (g) is the following,
[tex]g(x)=\frac{4x^2-16x+16}{4x+48}[/tex]
Then one should also factor the expression,
[tex]g(x)=\frac{4(x-2)^2}{4(x+12)}[/tex]
One is asked to find the following,
[tex]f(x)*g(x)[/tex]
To do this operation, one must multiply the two functions together. It is easiest to do so when the functions are in factored form,
[tex]f(x)*g(x)[/tex]
Substitute,
[tex](\frac{x+12}{(x+6)(x-2)})(\frac{4(x-2)^2}{4(x+12)})[/tex]
Simplify, cross out like terms in the numerator and denominator,
[tex]\frac{x-2}{x+6}[/tex]
Related Questions
jaslyyyyyyyyyy yus beans
Answers
Answer:
7/9
Step-by-step explanation:
21 / 27 = 3 * 7 / 3 * 9
= 7/9
y=5x-1 as a graph (slopes)
Answers
Answer:
linked the graph!
Step-by-step explanation:
Answer:
Using the slope-intercept form, the slope is −5
y=0,-1
Step-by-step explanation:
Jenna made $200 during the weekend she plans to give 10% to the church and put 40% and her saving accounts how much will she give to the church and how much will she have
Answers
Answer: 100
Step-by-step explanation:
200*10% or 200 * 0.10= 20
do the same for savings account 200*40%= 80
20 +80 = 100 subtract that from 200 she has 100 left.
Perform the indicated operation. -6 + 6
Answers
Answer:
0
Step-by-step explanation:
It is zero, since -6+6 is bassicly 6-6 which is 0
At the city Museum child admission is $6.20 an adult admission is $9.90 on Sunday 142 tickets were sold for a total sales of $1183.80 how much adult tickets were sold that day
Answers
Answer:
82
Step-by-step explanation:
Set the number of adult tickets sold as x. Then, the number of tickets for children would be 142-x
The total cost of all the tickets would be:
6.2(142 - x) + 9.9(x) = 1183.80
Simplify and solve
3.7x + 880.4 = 1183.8
3.7x = 303.4
x = 82
So, the answer is 82 tickets.
4/5+ 2/3 =? pls help i'm.in 5th grade
Answers
Answer:
2/15
Step-by-step explanation:
Ms. Medina gives 9 students each 3 Jolly Ranchers. Then she divides
the rest of the Jolly Ranchers in her bag up between those 9 students.
if she started with 72 Jolly ranchers, how many extra Jolly Ranchers
did she give them?
Answers
Answer:
45
Step-by-step explanation:
9 × 3 = 27
started with 72
72 - 27 = 45
Find the surface area of the prism. The surface area is
Answers
Answer:
132m^2
Step-by-step explanation:
Area=10x5+3x4x2/2+10x3+4x10
=50+12+30+40
=132
Answer: 132 meters squared
Step-by-step explanation:
We add all the sides of the shape:
Three quadrangular sides:
3 x 10 = 30
4 x 10 = 40
5 x 10 = 50
30 + 40 + 50 = 120
Two triangular sides:
3 x 4 / 2 = 6
3 x 4 / 2 = 6
6 + 6 = 12
We add all up:
120 + 12 = 132 meters squared
consider the series 10 j-2 (-2j+1)
Answers
Answer:
Option C
Step-by-step explanation:
Given expression for the series is,
[tex]\sum_{j=2}^{10}(-2j+1)[/tex]
Here, j = Numbers of terms (from 2 to 10)
By substituting j = 2 to 10 we can find the terms of the series.
2, 3, 4, 5, 6, 7, 8, 9, 10
So the number of terms in the given series = 9
Option C will be the correct option.
If tan θ=1/4 and cos θ≤0, find the exact value of sin x
If you can answer this soon that would be great.
Answers
Answer:
Step-by-step explanation:
Tan(theta) = Sin(theta) / cos(theta)
1/4 = sin(theta) / sqrt(1 - sin^2(theta) ) Cross multiply
sqrt(1 - sin^2(theta)) = 4*sin^2(theta) Square both sides.
1 - sin^2(theta) = 16 * sin^4 (theta) Transfer the left side to the right side.
0 = 16 sin^4(theta) + sin^2(theta) - 1
Use the quadratic formula to find a value for sin^2(theta)
a = 16
b = 1
c = - 1
I'll leave solving the quadratic to you.
There are two answers
sin^2(theta)= .22069
The other root is - 0.28 which you cannot use.
Sin(theta) = +/- 0.4698
Cos(theta) is < 0 in quads 2 and 3
So sin(theta) is positive in quad 2
and sin(theta) is minus in quad 3
A principal of 3700 is invested at 8.25% interest, compounded annually. How much will the investment be worth after 11 years? Use the calculator provided and round your answer to the nearest dollar.
Answers
Suppose that you are about to purchase a car and have narrowed your choices to two models --Model A and Model B. All things are about equal, such as price, options, even the average annual maintenance costs. You find an owner survey in an auto magazine that indicates that the standard deviation of maintenance costs is smaller for Model B. Based on this information, which of the following statements is most appropriate?
A. Model B with the smaller standard deviation is preferable, because the smaller value implies that the mean is a more reliable representation of maintenance costs.
B. Model A with the larger standard deviation is preferable. Cecause the larger value implies a smaller amount of variation in the data
C. Neither of the models are good since both standard deviations are not equal to 0. B 2
D. They are equally acceptable, because standard deviations are not useful for comparisons of data sets.
E. Cannot determine based on the information provided.
Answers
Answer:
A. Model B with the smaller standard deviation is preferable, because the smaller value implies that the mean is a more reliable representation of maintenance costs.
Step-by-step explanation:
The standard deviation is a measure of the variability of a dataset about a mean value. Larger values of standard deviation implies that the values varies Hugely about the mean whole smaller variability measure values mean that the data only varies a little about the mean. The implication of having a large variability value is that, low and high values in the data can be very different from the mean values, hence, lowering the reliability of Mean value. The lesser varibality gives the mean more reliability as a measure of centre
Help me pls ?????!!!!
Answers
Answer:
30=6j
j=5
hope it helps .......
Then combine like terms
(j + j + 4j) = 30
6j = 30
6 6
(Divide both sides by 6)
j = 5
What is the slope of the following graph?
Answers
Answer:
Point
Step-by-step explanation:
Assume that 200 babies are born to 200 couples treated with the XSORT method of gender selection that is claimed to make girls more likely. Preliminary results from a test of the XSORT method of gender selection involved 200 couples who gave birth to 115 girls and 85 boys. At significance level of 0.1, test whether the proportion of girl births after the treatment is greater than the 50% that occurs without any treatment (optional: show your work of the hypothesis testing in paper). Answer the next three questions
a. test statistic =
b. p-value =
c. What is your decision?
Answers
Answer:
a) test statistic = 2.12
b) p-value = 0.017
c) we reject the Null hypothesis
Step-by-step explanation:
Given data :
N = 200
girls (x) = 115 , Boys = 85
p = x / n = 115 / 200 = 0.575
significance level ( ∝ ) = 0.1
aim : test whether the proportion of girls births after the treatment is greater than 50% that occurs without any treatment .
A) Determine the test statistic
H0 : p = 0.5
Ha : p > 0.5
to determine the test statistic we will apply the z distribution at ( ∝ ) = 0.1
Z - test statistic = ( 0.575 - 0.5) / [tex]\sqrt{0.5*0.5 / 200}[/tex] = 2.12
b) determine the p-value
The P-value can be determined using the normal standard table
P-value = 1 - p(Z< 2.12 ) = 1 - 0.9830 = 0.017
c) Given that the p value ( 0.017 ) < significance level ( 0.1 )
we will reject the H0 because there is evidence showing that proportion of girls birth is > 50%
Suppose you roll a 6-sided number cube twice, and each time you
rolled a 4. a) Is the rolling of the number cube twice independent or
dependent events? b) What is the probability of rolling two fours? c)
Explain the difference between independent and dependent events.
Answers
b) 1/36
c) an independent event can include repeating an action like rolling a dice. A dependant event is the outcome of the first event and how it affects the second.
Given that a/b = 3/5 and b/c = 3/4.
Find a : b : c
Answers
Answer:
a : b : c = 9 : 15 : 20
Step-by-step explanation:
Here, b is common to both the ratios. In order to find the combined ratio of a, b and c, it is required to make the b ratio same in the given ratios.
Therefore,
[tex] \frac{a}{b} = \frac{3}{5} = \frac{3 \times 3}{5 \times 3} = \frac{9}{15} \\ \\ \frac{b}{c} = \frac{3}{4} = \frac{3 \times 5}{4 \times 5} = \frac{15}{20} \\ \\ \implies \: a : b : c = 9 : 15 : 20[/tex]
FIRST PERSON TO ANSWER GET MARKED BRAINLY
Find the value.
Answers
Answer: 3 x 5²= 75
Step-by-step explanation:
How I got my answer was multiplying 3 x 5= 15 then 15 x 5=75 on my paper and that should be the right answer hope it help and the answer should be 75
I need help to find the value of X?
Answers
9514 1404 393
Answer:
x = 60
Step-by-step explanation:
The angle x is half the sum of the intercepted arcs:
x = (40 +80)/2
x = 60
2. Write an equation in siope-interceptform to represente relationship in the table
Answers
Answer:
-4/-5
Step-by-step explanation:
you have to pick 2 numbers from the y row and the x row i picked -7 and 3 and -5 and 0 so first you would do 3-(-7) and that would be -4 and then do -5-0 and that would be -5 then you would put the y/x
The graph shows the function y = 3.3 - 1. What are the coordinates of the intercepts?
Answers
Answer:
C) (0, -1) and ( [tex]\frac{1}{3}[/tex], 0)
Step-by-step explanation:
7 students study Biology, Chemistry and Physics.
12 students study Biology and Chemistry.
15 students study Biology and Physics.
20 students study Chemistry and Physics.
35 students study Biology.
32 students study Physics.
Complete the Venn diagram.
Answers
Answer:
Step-by-step explanation:
The width of a golden rectangle is 4 cm. Find the length of the rectangle to the nearest tenth of a centimeter. (Remember the golden ratio, 1.618.)
2.5 cm
6.5 cm
8 cm
13 cm
5.6 cm
Answers
Answer:
6.47
1.618 x 4 = 6.47
Step-by-step explanation:
Answer:
The length of golden rectangle is 6.5 cm.
Step-by-step explanation:
Definition of golden rectangle
The Golden Rectangle, also known as the perfect rectangle by some, is a rectangle with the Golden Ratio as its length to width ratio. Many people consider this to be one of the most visually appealing geometric shapes. Many works of art and architecture contain it.
Given the width of golden rectangle= 4 cm
and the golden ratio= 1.618
The golden ratio is the ratio of length and width [tex]l/b=1.618[/tex]
[tex]l=1.618*b\\=1.618*4\\=6.472 cm[/tex]
Now length of the rectangle is up to nearest tenth point=6.5 cm
Hence the length= 6.5 cm
To know more about golden ratio go to given link
https://brainly.com/question/23450854
#SPJ2
A figure with vertical line symmetry is placed on the coordinate plane. Given that the points (–8, –4) and (–3, –4) are on the edges of the figure, which of the following points lies on the line of symmetry?
Answers
Answer:
(-11/2; -4)
Step-by-step explanation:
The point that lies on the line is symmetry is the middle point of the segment
M(x) = (-8-3)/2 = -11/2
M(y) = -4
Answer:
(-11/2; -4)
Step-by-step explanation: The point that lies on the line is symmetry is the middle point of the segment
M(x) = (-8-3)/2 = -11/2
M(y) = -4
whar are the correct points
Answers
Answers:
A: 3,3
B: -3,4
C: -1,-2
D: 5,-4
Please mark as brainlist.
Please help this is very important to my grade
Answers
Answer:
3, 6, 2.7( The is one I cannot see cuz of glare)
Step-by-step explanation:
Which numbers are irrational?
144
18
149
45
Answers
You can approximate e by substituting large values for n into the expression
A. (1- 1/n)^n
B. (1+n)^in
C. (1 - n) ^in
O D. (1+1/n)^2
Answers
Answer:
D. (1+1/n)n
Step-by-step explanation:
The value of the expression A, B, C, and D will be 1, ∞, ∞, and 1.
What is Algebra?Algebra is the study of graphic formulas, while logic is the interpretation among those signs.
You can approximate e by substituting large values for n into the expression.
Let the infinity be the largest number.
A. (1 – 1/n)ⁿ
Substitute n = ∞, then the value of the expression will be
[tex]\Rightarrow \left (1 - \dfrac{1}{\infty} \right)^{\infty}\\\\\Rightarrow \left (1 - 0 \right)^{\infty}\\\\\Rightarrow 1[/tex]
B. (1 + n)ⁿ
Substitute n = ∞, then the value of the expression will be
[tex]\Rightarrow \left (1 + \infty \right)^{\infty}\\\\\Rightarrow \infty^{\infty} \\\\\Rightarrow \infty[/tex]
C. (1 – n)ⁿ
Substitute n = ∞, then the value of the expression will be
[tex]\Rightarrow \left (1 - \infty \right)^{\infty}\\\\\Rightarrow \infty^{\infty} \\\\\Rightarrow \infty[/tex]
D. (1 + 1/n)²
Substitute n = ∞, then the value of the expression will be
⇒ (1 + 1/∞)²
⇒ (1 + 0)²
⇒ 1²
⇒ 1
Then the value of the expression A, B, C, and D will be 1, ∞, ∞, and 1.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ5
Help me out thanks !!!!!
Answers
Answer:
x = 60°
Step-by-step explanation:
First find <E by applying the angles of intersecting chords theorem.
Based on the theorem, we would have the following equation:
m<E = ½(arc CA + arc BD)
Substitute
m<E = ½(170° + 70°)
m<E = ½(240)
m<E = 120°
Let's find x:
x = 180° - m<E (supplementary angles)
x = 180° - 120° (substitution)
x = 60°
can someone help me solve for x
Answers
Answer: Possibly -4
Step-by-step explanation:
But wait for others to check I’m not fully sure