PLEASE HELP I AM BEING TIMED!!! WILL MARK BRAINLIEST FOR CORRECT ANSWER!!! 100 PTS!!!
The sum and product of two linear functions are shown.
Which statements can be used to describe the original functions f(x) and g(x)? Select two options.
A. When added, the sum of the y-intercepts must be 1.
B. When multiplied, the product of the y-intercepts must be –15.
C. Either f(x) or g(x) has a positive rate of change and the other has a negative rate of change.
D. f(x) could have a rate of change equal to 1 and g(x) could have a rate of change of 2.
E. f(x) could have a rate of change equal to 2 and g(x) could have a rate of change of –6.
Answers
Answer:
A and DStep-by-step explanation:
Let the functions be
f(x)= ax + bg(x) = cx + dTheir sum
j(x) = (a+c)x + b+dTheir product
k(x)= (ax + b)(cx + d)The answer optionsA. When added, the sum of the y-intercepts must be 1.
Correct. We see point (0,1) of j(x) on the graph. b+d = 1B. When multiplied, the product of the y-intercepts must be –15.
Incorrect. -15 is the vertex of k(x). The vertex of ax^2 + bx + c is -b/2a. So it has no relation to constants of the functions f(x) and g(x)C. Either f(x) or g(x) has a positive rate of change and the other has a negative rate of change.
Incorrect. It refers to the value of ac. If one of a or c has opposite sign it makes k(x) to open down but it is not as per graph.D. f(x) could have a rate of change equal to 1 and g(x) could have a rate of change of 2.
Correct. As per above statement, both linear equations could be positive as their sum and product is positive from the graphs of j(x) and k(x)E. f(x) could have a rate of change equal to 2 and g(x) could have a rate of change of –6.
Incorrect. It should result in decreasing function of j(x) with slope of -4 but it is increasing as per graph.Related Questions
can some please help me
Answers
Answer:
i think it is D
Which equation is equivalent to the equation 6x+9=12?
Answers
Answer:
x=1/2
Step-by-step explanation:
2. A New Jersey-based statistics professor has collected data over several years concerning the duration of her morning commute to her university. A brief inspection of the data reveals that her commuting times are (roughly) normally distributed with a mean of 75 minutes and standard deviation of 15 minutes. If she leaves her home at 9:00 a.m. to attend a faculty meeting commencing at 10:30 a.m., what is the probability she will be late for the meeting?
Answers
Josh ran 33 miles this week.if he ran the same distance each day for 4 days,what distance did he run each day
Answers
Please help this is urgent and it's due today.
Answers
there isn’t a picture
I weigh 180 pounds how much is that in kilograms .
Answers
Answer:
81.72 kg
Step-by-step explanation:
1 pound = 0.454 kg
180 pound = 0.454 × 180
= 81.72 kg
Answer:
81.6466 kilograms
Step-by-step explanation:
To convert pounds to kilograms divide the mass value by 2.205
Hope this Helps! :)
Have any questions? Ask below in the comments and I will try my best to answer.
-SGO
I REALLY NEED HELP WORTH 10 POINTS URGENT!!!!!
Answers
Answer:
[tex](f\circ g)(4)=31[/tex]
Step-by-step explanation:
Composite Function
Given f(x) and g(x) real functions, the composite function named fog(x) is defined as:
[tex](f\circ g)(x)=f(g(x))[/tex]
For practical purposes, it can be found by substituting g into f.
We have:
[tex]f(x)=3x+1[/tex]
[tex]g(x)=x^2-6[/tex]
Computing the composite function:
[tex](f\circ g)(x)=f(g(x))=3(x^2-6)+1[/tex]
Operating:
[tex](f\circ g)(x)=3x^2-18+1[/tex]
Operating:
[tex](f\circ g)(x)=3x^2-17[/tex]
Now evaluate for x=4
[tex](f\circ g)(4)=3(4)^2-17=48-17[/tex]
[tex]\boxed{(f\circ g)(4)=31}[/tex]
Which number is positive?
-87
-20
9
-6
Answers
Answer:
9 that is the answer.....
Answer:
the answer is 9
Step-by-step explanation:
the rest are negative numbers
Simplify:
-2x-2x(5-4x)+3x(4-3x)
Answers
Answer:
−x⋅(17x−24)
Step-by-step explanation:
(-2x - (2x • (5 - 4x))) + 3x • (4 - 3x)
(-2x - 2x • (5 - 4x)) + 3x • (4 - 3x)
24x - 17x2 = -x • (17x - 24)
what are the possible rational zeros of f(x)=2x^3-15x^2+9x+22
Answers
Answer:
f'(x)=6×^2=30x+9
Step-by-step explanation:
take the derivative of both sides
use differentiation rule
calculate the derivative
simplify the expression
if 2 ppl went up a 35in long ladder and someone went up a 12ft long ladder who is up higher?
Answers
Answer:
So, 1ft=12 in for 12 ft would=144in and 144in>35in and whoever is higher depends on where they started at, if the 35in guy was 55ft up already and the other 12ft guy was like 2ft under ground then yk the 35ft guy would be higher and also if they started at the same length then the 144in(12ft) guy is the winner he is the highest lol.
Step-by-step explanation:
Answer:HMMMMMMMM LET ME THINK THE PERSON WHO WENT 12 FEET
Step-by-step explanation:
(5x+2) - (7x-8) simplify the following
Answers
Answer:
-2x + 10
Step-by-step explanation:
Step 1: Write expression
(5x + 2) - (7x - 8)
Step 2: Distribute negative
5x + 2 - 7x + 8
Step 3: Combine like terms
-2x + 10
Answer:
-2x+10
Step-by-step explanation:
All you have to do is combine like terms.
Which function has the domain x>-11?
Answers
Answer:
1
Step-by-step explanation:
-11 + 11 =0
0+1= 1
So it would be 1>-11
Answer:
A
y = [tex]\sqrt{x+11}[/tex] + 5
Step-by-step explanation:
For edge
find the prime factorization of 30,031
Answers
Answer:
30,031 is not a prime, is a composite number. Integer prime factorization, as a product of prime factors: 30,031 = 59 x 509.
Step-by-step explanation:
Let's learn by having an example, take number 220 and build its prime factorization.
0) We need the list of the first prime numbers, ordered from 2 up to, let's say, 100: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97. Prime numbers are the building blocks of the composite numbers' prime factorization process.
1) Start by dividing 220 by the first prime number in our list, 2 (start with the smallest prime number). We could have skipped the division by 2 if our number were an odd number, ie. 221.
220 ÷ 2 = 110; remainder = 0 => 220 is divisible by 2 (2 | 220) => 2 is a prime factor of 220. => 220 = 2 × 110.
2) Divide the result of the previous operation, 110, by 2, again:
110 ÷ 2 = 55; remainder = 0 => 110 is divisible by 2 (2 | 110) => 2 is once again a prime factor of 220 => 220 = 2 × 2 × 55.
3) Divide the result of the previous operation, 55, by 2, again:
55 ÷ 2 = 27 + 1; remainder = 1 => 55 is not divisible by 2.
4) Move on, divide 55 by the next prime number, 3 (notice that the sum of digits of 55 is 5 + 5 = 10 is not divisible by 3, so 55 is not divisible by 3):
55 ÷ 3 = 18 + 1; remainder = 1 => as we already said, 55 is not divisible by 3.
5) Divide 55 by the next prime number, 5:
55 ÷ 5 = 11; remainder = 0 => 55 is divisible by 5 (5 | 55) => 5 is yet another prime factor of 220 => 220 = 2 × 2 × 5 × 11.
6) Notice that the remaining number, 11, is also a prime number, so we've got already all the prime factors of 220.
7) Conclusion, 220 prime factorization: 220 = 2 × 2 × 5 × 11.
This can be written in a condensed form, in the exponent notation: 220 = 22 × 5 × 11.
What word phrase can you used to represent 5X +2
Answers
Answer: A number times 5 plus 2
Step-by-step explanation:
− 2 3 y − 3 5 x + 2 9 − 4 5 x + 1 3 y Let x = 5 and y = 3. − 2 3 (3) − 3 5 (5) + 2 9 − 4 5 (5) + 1 3 (3) = −2 − 3 + 2 9 − 4 + 1 = −77 9 Use the work shown. Which expression is equivalent to Negative two-thirds y minus three-fifths x + StartFraction 2 over 9 EndFraction minus four-fifths x + one-third y? y minus four-fifths x + StartFraction 2 over 9 EndFraction minus two-thirds y minus one-fifth x Negative y minus four-fifths x + StartFraction 2 over 9 EndFraction + two-thirds y + three-fifths x One-third y minus StartFraction 7 over 5 EndFraction x + two-thirds minus two-thirds y minus StartFraction 4 over 9 EndFraction Two-thirds y minus StartFraction 7 over 5 EndFraction x + StartFraction 2 over 9 EndFraction + y
Answers
Answer:
c
Step-by-step explanation:
Answer:
yo
Step-by-step explanation:
its C
trust me
i did edge
The height of an Egyptian pyramid is 146.5 meters and its base is 230.38 meters. Find the slope of the face of a pyramid.
Answers
Answer:
[tex]Slope = 1.57[/tex]
Step-by-step explanation:
Given
[tex]Height = 230.38\ m[/tex]
[tex]Base = 146.5\ m[/tex]
Required
Determine the slope
Slope is calculated as thus:
[tex]Slope = Rise/Run[/tex]
In this case:
[tex]Rise = Height = 230.38 m[/tex]
[tex]Run = Base = 146.5 m[/tex]
So, we have:
[tex]Slope = 230.38 / 146.5[/tex]
[tex]Slope = 1.57[/tex] (approximated)
mark the statements that are true
Answers
Please solve for x. Someone helppppp
Answers
Answer:
36
Step-by-step explanation:
MPA is a right angle 90 + (1/2x +15) + (2x-50) = 180
- 90 -90
(1/2x + 15) + (2x - 50) = 90
- 15 -50 -65
1/2x + 2x = 90
2&1/2x (2.5) = 90
/2.5 /2.5
x = 36
What is the unit rate of the oranges if I purchased 10 oranges for $2.50
Answers
Answer:
.25 per orange
Step-by-step explanation:
2.5/10=.25
change 3/5 into decimal
Answers
Answer: 0.6
Step-by-step explanation: 3 divided by 5 is the same thing as 30/5 which equals 6. Just move the decimal place one to the left to get 0.6.
Hope this helps! :)
Answer: 0.6
Step-by-step explanation:
Divide 3 by 5, and you end up with the decimal 0.6
evaluate the expression if a=-2 and b = 5
Answers
If , a = (-2) and b = 5
Then :-
[tex] = \frac{8 \times 5 - 6 \times ( - 5)}{13} [/tex]
[tex] = \frac{40 - ( - 30)}{13} [/tex]
[tex] = \frac{70}{13} [/tex]
[tex] = 5.384615[/tex]
[tex]∴ \: \frac{8 \times 5 - 6 \times ( - 5)}{13} = 5.384615[/tex]
A recipe for salad dressing calls for 4 parts oil for every 3 parts vinegar.How much oil should you use to make a total of 28 teaspoons of dressing
Answers
Answer:
16 teaspoons
Step-by-step explanation:
4x4= 16 teaspoons
The amounts of oil and vinegar combined to make the salad dressing are
in a constant definite proportion.
The quantity of oil required to make 28 teaspoons of dressing is 16
teaspoons.
Reasons:
According to the question, 4 parts of oil are added to every 3 parts of
vinegar.
Therefore;
The ratio or proportion of oil to vinegar in the salad dressing is 4 : 3
4 : 3 = [tex]\dfrac{4}{3}[/tex]
The proportion of oil to vinegar is therefore;
[tex]\mathrm{Amount \ of \ oil = \mathbf{\dfrac{4}{3} \times \ Amount \ of \ vinegar}}[/tex]
Which gives;
[tex]\mathrm{Amount \ of \ vinegar= \dfrac{3}{4} \times \ Amount \ of \ oil}[/tex]
Let x represent the amount of oil required to make 28 teaspoons of dressing,
we have;
[tex]\mathrm{Amount \ of \ vinegar \ required = \dfrac{3}{4} \times x}[/tex]
Which gives;
[tex]\mathrm{x + \dfrac{3}{4} \times x = 28}[/tex]
[tex]\mathrm{x + \dfrac{3}{4} \times x = \dfrac{7}{4} \times x = 28}[/tex]
Therefore;
[tex]x = \dfrac{4}{7} \times 28 = \dfrac{4}{7} \times 7 \times 4 = 4 \times 4 = 16[/tex]
The amount of oil required to make 28 teaspoons of dressing, x = 16 teaspoons.
Learn more here:
https://brainly.com/question/20320243
How many hours are in 45 days
Answers
Answer:
Step-by-step explanation:
1,080 hours just multiply 24 and 45
I need to find the value of y
Answers
Answer:
x = 98
y = 126
Step-by-step explanation:
If you match triangle abc to triangle cde, you will match where x and y is.
168 ÷ 12 = 14
Now you multiply 14 by the other side lengths
9 • 14 = 126
7 • 14 = 98
It is similar to a dilation.
plz help !! ty very much!!
Answers
Answer:
EZ PZ A
Step-by-step explanation:
Since the 3 in in the thousands Place, Just multiply 3,000 by 100, and you get 300,000. Then just find the one that has a 3 in the one hundred thousands place which would be A.
What is the domain of g
Answers
Answer:
All real values of 'x'. i.e., the answer to the question is 'E'
Look at the figure.
Which shows a reflection of this figure across the y-axis?
A. Figure A
B. Figure B
C. Figure C
D. Figure D
Answers
The Lake Placid Town Council decided to build a new community center to be used for conventions, concerts, and other public events, but considerable controversy surrounds the appropriate size. To provide structure for the decision process, the council narrowed the building alternatives to three sizes: small, medium, and large. Everybody agreed that the critical factor in choosing the best size is the number of people who will want to use the new facility. The town council suggested using net cash flow over a 5-year planning horizon as the criterion for deciding on the best size. The following projections of net cash flow (in thousands of dollars) for a 5-year planning horizon have been developed.All costs, including the consultant's fee, have been included.
Demand Scenario
Center Size Worst Case Base Case Best Case
Small 400 500 660
Medium -250 650 800
Large -400 580 990
a) What decision should Lake Placid make using the expected value approach?
b) Construct risk profiles for the medium and large alternatives. Given the mayor's concern over the possibility of losing money and the result of part (a), which alternative would you recommend?
c) Compute the expected value of perfect information. Do you think it would be worth trying to obtain additional information concerning which scenario is likely to occur?
Answers
32 lbs of bananas cost $160. How many lbs of bananas can
you get with $225?
Answers
Answer:only 32lbs because 160 times 2 is 320 and you only have 225 dollars.
Step-by-step explanation:math
Answer:
45lbs
Step-by-step explanation:
160/32=$5 Per lb of bananas
225/5=45lbs