Answer:
[tex](f+g)(x)=f(x)+g(x)=4^{x} +12x+5x-1=4^{x}+17x-1[/tex]
Answer:
4^x +17x -1
Step-by-step explanation:
F(x)=4^x+12x
g(x) = 5x-1
(f+g)(x)= 4^x +12x + 5x-1
Combine like terms
= 4^x +17x -1
What is the area of this trapezoid?
Answer:
18 m^2
Step-by-step explanation:
The area of a trapezoid is given by
A = 1/2 (b1+b2)h where b1 and b2 are the lengths of the bases and h is the height
A = 1/2 ( 5 + (6+1)) * 3
A = 1/2 ( 5+7)*3
= 1/2 (12)3
= 18
Answer:
B
Step-by-step explanation:
greater base = 6 + 1 = 7 m
Area = [(greater base + minor base) * height] / 2 = [(7+5) * 3]/2 =18 m^2
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
If x+2 is a factor of x^3-6x^2-11x+k then k=
Step-by-step explanation:
From the question given above, the following data were obtained:
f(x) = x³ – 6x² – 11x + k
Factor => x + 2
Value of k =?Next, we shall obtained the value of x from x + 2. This can be obtained as follow:
x + 2 = 0
Collect like terms
x = 0 – 2
x = –2Finally, we shall determine the the value of k. This can be obtained as illustrated below:
f(x) = x³ – 6x² – 11x + k
x = –2
Value of k =?f(–2) = 0 since x + 2 is a factor
x³ – 6x² – 11x + k = 0
(–2)³ – (–2)² – 11(–2) + k = 0
–8 – (4) + 22 + K = 0
–8 – 4 + 22 + K = 0
10 + k = 0
Collect like terms
k = 0 – 10
k = –10Therefore, the value of k is –10
Learn more: https://brainly.com/question/13587979
If f(x) = -x2 – 1, and
g(x) = x + 5, then
f(g(x)) = [ ? ]x2+[? ]x+[?]
Answer:
-x^2-10x-26
Step-by-step explanation:
f(x) = -x^2 – 1, and
g(x) = x + 5
f(g(x)) = Plug g(x) in for x in f(x)
= -(x+5)^2 -1
= -(x^2 +10x+25) -1
= -x^2 -10x-25 -1
=-x^2-10x-26
I don't have time to do this before my class, could someone help? Thanks so much
Answer:
AD=27
Step-by-step explanation:
Can you answer this math homework? Please!
Factorize the following by splitting the middle term:-
(a) 3x^2 +11x+30
Answer:
See explanation
Question has been corrected
Step-by-step explanation:
Given:
3x² + 11x + 30
To factorise, multiply the coefficient of x² by 30
= 3 * 30
= 90
Find two numbers that have a product of 90 and a sum of 11
** There are no such two numbers, therefore the question can't be solved using factorization
Correcting the error in the question:
x² + 11x + 30
To factorise, multiply the coefficient of x² by 30
= 1 * 30
= 30
Find two numbers that have a product of 30 and a sum of 11
6 and 5
6 + 5 = 11
6 * 5 = 30
x² + 11x + 30
= x² + 6x + 5x + 30
= x(x + 6) + 5(x + 6)
= (x + 6) (x + 5)
Choose the correct answer below. A. The proportion of numbers in the population is equal to the mean of the sample proportions. B. The proportion of numbers in the population is equal to the mean of the sample proportions of numbers. C. The proportion of numbers in the population is not equal to the mean of the sample proportions. D. The proportion of numbers in the population is equal to the mean of the sample proportions of numbers.
Answer:
A. The proportion of numbers in the population is equal to the mean of the sample proportions
Step-by-step explanation:
The relationship between the mean [tex]\mu _{\overline p}[/tex], and standard deviation, [tex]\sigma _{\overline p}[/tex], of the sample proportion and the population proportion, p, are given as follows;
[tex]\mu _{\overline p}[/tex] = p
[tex]\sigma _{\overline p} = \sqrt{\dfrac{p \cdot (1 - p)}{n} } \times \sqrt{\dfrac{N - n}{N - 1} }[/tex]
Where;
N = The size of the population
n = The sample size
Therefore, the proportion of numbers in the population is equal to the mean of the sample proportions
When creating lines of best fit, do you believe that estimation by inspection of the equation is best or do you think it should be determined exactly? In what situations would it be best to use one over the other?
Answer:
Estimation by inspection is better than trying to determine the line of best fit exactly
i) For a scatter plot : The use of estimation by inspection
ii) For a straight line graph : The exact determination method
Step-by-step explanation:
To create lines of best fit the estimation by inspection is better than trying to determine the line of best fit exactly .
This is because line of best fit only shows the trend of the data and in most cases it doesn't have to start from origin.
Scenarios :
i) For a scatter plot : The use of estimation by inspection
ii) For a straight line graph : The exact determination method
and this is right or not
simplify (4^3)^5 someone help
Answer:
Exact Form:
235235
Decimal Form:
4.64.6
Mixed Number Form:
4 3/5
Answer:
5649
Step-by-step explanation:
4^3=64
64^5=5649
A cylindar with surface area 219.91 has a radius of
and a height of
Please can some help me in this?
Answer:
n = 70
Step-by-step explanation:
14 * x < 80
x = 6 won't work
14 * 6 = 84 which beyond the boundry.
14 * 5 = 70 which is less than 80 and is divisible by 14
14 * 3 = 42
70 does not have a 3 in it.
So the largest number that has 14 in it and is less than 80 is 70
Please hurry I will mark you brainliest
It's a hot summer
day and the icecream truck is on it's way. The driver gives you two options:
1) You can have a cone that is doubled in radius but the same height as a regular cone.
OR
2) You can have a cone that is doubled in height but the same radius as a regular cone.
Which would you choose and why?
You can explain it or attach a picture of your work. ( please show it in math form)
Answer:
Option 1: Double the radius
Step-by-step explanation:
The formula for the volume of a cone is:
1/3[tex]\pi[/tex]r^2h
It squares the radius whereas it only multiplies by the height. Let's try both situations.
1. 1/3[tex]\pi[/tex](2)^2(1) --> 4/3
2. 1/3[tex]\pi[/tex](1)^2(2) --> 2/3
Option one is better.
Which undefined term is used to define an angle?
line
plane
point
ray
Passing through point (4, 9) and perpendicular to the line y= -1/5x -3
Answer:
y = 5x-11
Step-by-step explanation:
The slope intercept form of a line is y =mx+b where m is the slope
y = -1/5 x-3
The slope is -1/5
Lines that are perpendicular have negative reciprocal slopes
-1 /(-1/5)
-1 * -5/1
5
The slope of the line that is perpendicular is 5
y=5x+b
Using the point (4,9)
9 = 5(4)+b
9 = 20+b
9-20 =b
-11
y = 5x-11
please help with this too
Answer:
The area of the sector in circle G formed by segments [tex]\overline{AG}[/tex], and [tex]\overline {GB}[/tex] is approximately 125.66 square units
Step-by-step explanation:
The given parameters are;
The radius of the circle with center G, r = 15
The measure of the given angle, m∠AGB = 64°
The area of a sector is given as follows;
Area of a sector of a circle = (θ/360°) × π × r²
Therefore;
The area of the sector in circle G formed by segments [tex]\overline{AG}[/tex], and [tex]\overline {GB}[/tex] is given as follows;
The area of the sector in circle G = (64°/360°) × π × 15² ≈ 125.66 square units
Find the diameter of the sphere with the volume of 36 pi cubic units
Answer:
[tex]{ \tt{volume = \frac{4}{3} \pi {r}^{3} }} \\ 36\pi = \frac{4}{3} \pi \times {(2d)}^{3} \\ \frac{36 \times 3}{4} = 8 {d}^{3} \\ 27 = 8 {d}^{3} \\ {d}^{3} = \frac{27}{8} \\ diameter = 1.5 \: units[/tex]
1
3
4
6
5
22 and Z6 form what type of angle pair?
A. linear pair
B. vertical angles
C. complementary angles
D. supplementary angles
C. complementary angles
Step-by-step explanation:
two angles are called complementary when their measures add to 90 degrees
Consider the scenario and use complete sentences to answer the question.
Two players each roll an ordinary number cube. The sum is found of the two numbers showing. If the sum is an even number, player A gets 1 point. If the sum is an odd number, player B gets 1 point. The game ends after 6 rounds.
Is this a fair game? Use the possible results of the game to support your answer.
Answer:
yes both chances are 1/2 = equal
Step-by-step explanation:
What did they ask on FLVS alegebra 1 honors moduel 7 dba
Answer:
its easy dont worry
Step-by-step explanation:
im doing a exam please help me fast
Seven guests are arriving for dinner. How many possible orders can they arrive in?
5,040!
7!
5!
49!
Answer:
7!
Hope it is helpful
need help with this question plz picture of question added
Answer:
The domain of the function is (-2,&)
Find the 20th term of the following sequence.
-6, -4,-2, O,...
Step-by-step explanation:
An=-6+(20-1)×2
=-6+19(2)
=-6+38
=32
Find the least number which is exactly divisible by 15,25 and go without leaving a reminder.
Step-by-step explanation:
75 is divisible by both 15 and 25
PLZZZZ HELPPPP… IF NOT 100% SURE PLZZ DONT ANSWER! BRAINLIEST TO FIRST AND CORRECT ANSWER!
Answer:
7/10
Step-by-step explanation:
½ of a cup of cheddar=½ x 1=½
⅕ of a cup of parmesan=⅕ x 1=⅕
all cheese used=½ + ⅕= 7/10
Independence and Exclusiveness are two topics which are important to probability and often confused. Discuss the difference between two events being independent and two events being mutually exclusive. Use examples to demonstrate the difference. Remember to explain as if you are talking to someone who knows nothing about the topic.
Answer:
Independence and Exclusiveness are two topics which are important to probability and often confused. Discuss the difference between two events being independent and two events being mutually exclusive. Use examples to demonstrate the difference. Remember to explain as if you are talking to someone who knows nothing about the topic.
[my response: talk to them in formal language about the topic.]
Step-by-step explanation:
If f(x) = -x2 – 1, and
g(x) = x + 5, then
g(f(x)) = [ ? ]x2+[ ]x+[]
Answer:
-x^2 +4
Step-by-step explanation:
f(x) = -x^2 – 1, and
g(x) = x + 5,
g(f(x)) = Plug f(x) in for x in g(x)
=-x^2-1 +5
=-x^2 +4
Answer:
x^²-x+6
Step-by-step explanation:
Just add
Akili has two tests next week. The probability that he will pass the first test, science, is 34 . How he does on that test affects how he will do on his math test. If he passes science, then the probability that he will also pass the math test is 45; otherwise, the probability is only 13 that he will pass the math test. If the probability he passes exactly one test can be expressed as mn for two relatively prime positive integers m and n, what is m n
Answer:
Following are solutions to the given question:
Step-by-step explanation:
First-test probability: [tex]\frac{3}{4}[/tex]
A person's chances of passing a second test are reduced if he fails the first test: [tex]\frac{1}{3}[/tex]
However, the chance of failing the first test is 1 in 4. As just a result, the probability of these events is low.
[tex]\to \frac{1}{4}\times \frac{1}{3}=\frac{1}{12}\\\\\to \frac{3}{4} + \frac{1}{12} = \frac{9+1}{12} = \frac{10}{12} = \frac{5}{6}[/tex]
One of the other.
Evaluate the function.
f(x) = 4x² + 73 – 18
Find f(-9)
Answer:
379
Step-by-step explanation:
4(-9)²+73-18
4(81)+55
324+55
379
Quadrilateral ABCD will be dilated about the origin by a scale factor of 1/3 and then reflected across the y-axis.
Answer:
See explanation
Step-by-step explanation:
The coordinate of ABCD is not given; So, I will solve using general coordinates (x,y).
First, ABCD is dilated by 1/3.
The rule is:
[tex](x,y) \to \frac{1}{3}(x,y)[/tex]
This gives
[tex](x,y) \to (\frac{x}{3},\frac{y}{3})[/tex]
Next, it is reflected across y-axis.
The rule is:
[tex](x,y) \to (-x,y)[/tex]
So, we have:
[tex](\frac{x}{3},\frac{y}{3}) \to (-\frac{x}{3},\frac{y}{3})[/tex]
So, the complete transformation is:
[tex](x,y) \to (\frac{x}{3},\frac{y}{3}) \to (-\frac{x}{3},\frac{y}{3})[/tex]
Assume that:
[tex]A = (1,3)[/tex]
The transformation will be:
[tex]A' = (-\frac{1}{3},\frac{3}{3})[/tex]
[tex]A' = (-\frac{1}{3},1)[/tex]
