Answer:
What is the graph of h(x)=f(x)+g(x) with an example?
So many possible combinations of types of equations for f(x) and g(x).
If they are both linear. f(x) = 3x + 2. g(x) = 2x - 5. h(x) = f(x) + g(x) = 5x - 3. This is also linear.
f(x) has slope = 3 and y-intercept = 2. g(x) has slope = 2 and y intercept = -5. h(x) has slope = 5 and y-intercept = -3.
The graph of the sum of two linear equations is a straight line with slope equal to the sum of the slopes of the two linear equations and a y-intercept equal to the sum of the y-intercepts of the two linear equations.
If one is linear and the other is quadratic. f(x) = 2x + 3. g(x) = x^2 + 6x - 4. h(x) = f(x) + g(x) = x^2 + 8x - 1. This is quadratic.
f(x) has slope = 3 and y-intercept = 3. g(x) has an axis of symmetry of x = -3, vertex at (-3, -13), y-intercept = -4, x-intercepts = -3 + 13^½ and -3 - 13^½ . h(x) has an axis of symmetry of x = -4, vertex at (-4, -17), y-intercept = -1, x-intercepts = -4 + 17^½ and -4 - 17^½ .
The graph of the sum of a linear equation [y = mx + b] and a quadratic equation [y = Ax^2 + Bx + C] has an axis of symmetry of x = - (B + m) / 2A, vertex at ( - (B + m) / 2A, - (B + m)^2 / 4A + (b + C)), y-intercept = b + C, x-intercepts = (- (B + m) + ( (B + m)^2 - 4A (b + C))^½ ) / 2A and (- (B + m) - ( (B + m)^2 - 4A (b + C))^½ ) / 2A .
Answer:
A
Step-by-step explanation:
Ica ingin membuat sebuah lampion
berbentuk kubus, panjang rusuknya 15
dm, maka volume lampion Ica adalah
... m?
a. 45
b. 3,375
c. 33,75
d. 3,375
Well the answer is 3,375
Find A in degrees. Round to the
nearest tenth.
С
a = 7
b
b = 4
a а
C = 8
B
B
A
С
A = [?]°
Answer:
8/7
Step-by-step explanation:
Answer:
61 degrees
Step-by-step explanation:
Which is a true statement?
O A. 48 is 25% of 160.
O B. 32 is 40% of 88.
O C. 40 is 60% of 100.
O D. 72 is 80% of 90.
Answer:
D is the answer
Step-by-step explanation:
90 × 80/100 = 72
Answer:
B. 32 is 40% of 88
Step-by-step explanation:
At first i thought it was D, but 72 is really close to 90.. thats like 90% I'm pretty sure its B. 32 is 40%
Jaclyn bought a PS4 game that was on sale for 20% less than the original price. The original price was $10 more than the sale price.
What was the ORIGINAL price?
Explain your answer.
Answer:
$50
Step-by-step explanation:
If the original price was $10 more than the sale price, so we know that in this case, 20% = $10. Because 20% is equivlalent to [tex]\frac{1}{5}[/tex], multiply $10 by 5 to get the answer of $50.
A keyboard cost -P400.
On sale the price is
reduced to to P360.
calculate the percentage
decrease.
-10x^2-4x+2=0 real number solutions
Answer:
2 real solutions
Step-by-step explanation:
a=-10, b=-4, c=2
(-4)^2-4x(-10)x2=96
If a student scored in the upper quartile, they received a treat from Mrs. Jones. What is lowest score they can earn and receive a treat?
which number line shows the solution to the inequality below
-4g<4
(look at picture)
Answer:
b
Step-by-step explanation:
make g by itself -> inequality becomes g>-1. Answer choice b fits the criteria
ILL GIVE BRAINLEST, please show work :D
answer is 4/9 in^2
2/3 * 2/3 = 4/9
Five applicants are to be scheduled for job interviews at five given times. On an application form, each applicant was asked to mark two out of the five times. What is the probability that each of them can be interviewed at one of the two times they have marked
Answer:
0.01024
Step-by-step explanation:
Assume marking was done at random : Hence, each of the 5 time slots have equal Chamves of being marked ;
Number of time slots, n = 5
Required to mark, number of preferred timeslot x = 2
P(x) = 2 /5 = 0.4
Probability of 0.4 that an interviewee gets one of his preferred timeslot.
Probability that each of the 5 interviewees gets one of their preferred time slots :
Using the multiplication rule of independence :
0.4 * 0.4 * 0.4 * 0.4 * 0.4 = 0.4^5 = 0.01024
0.01024 * 100% = 1.024%
What is the volume of the cylinder below?
PLEASE HELP RN
Answer:
D 288 area of a cylinder is area of the base times the height. pi r² h
The functions f(x) and g(x) are shown on the graph.
f(x) = |x|
What is g(x)?
The equation of the function g(x) is g(x) = |x - 4|
How to determine the equation of the function g(x)From the question, we have the following parameters that can be used in our computation:
The fucntions f(x) and g(x) on the graph
Also, we have
f(x) = |x|
The function f(x) is translated to the right by 4 units to get the function g(x)
This is represented as
g(x) = |x - 4|
Hence, the function g(x) is g(x) = |x - 4|
Read more about translation
https://brainly.com/question/26238840
#SPJ1
SOMEONE HELP ME WITH THIS PLEASE IM STRUGGLING
Answer:
Final point (-4, 4) Original point (3, -4)
Answer:
Again, I can't move it for you but I can give you the points!
original: (3, -4)
final: (-4, 4)
Find angle 1,2,3, and 4 please and thank you
Answer:
i think its 34/1
Step-by-step explanation: because if u plot it by 2
Find the midpoint of the segment with the following endpoints.
(2,9) and (8,1)
Answer:
[tex]\displaystyle (5,5)[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Midpoint Formula: [tex]\displaystyle (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]Step-by-step explanation:
Step 1: Define
Point (2, 9)
Point (8, 1)
Step 2: Identify
(2, 9) → x₁ = 2, y₁ = 9
(8, 1) → x₂ = 8, y₂ = 1
Step 3: Find Midpoint
Simply plug in your coordinates into the midpoint formula to find midpoint
Substitute in points [Midpoint Formula]: [tex]\displaystyle (\frac{2+8}{2},\frac{9+1}{2})[/tex][Fractions] Add: [tex]\displaystyle (\frac{10}{2},\frac{10}{2})[/tex][Fractions] Divide: [tex]\displaystyle (5,5)[/tex]Suppose that prices of a gallon of milk at various stores in one town have a mean of $3.69 with a standard deviation of $0.11. Using Chebyshev's Theorem, what is the minimum percentage of stores that sell a gallon of milk for between $3.47 and $3.91
Answer:
The minimum percentage of stores that sell a gallon of milk for between $3.47 and $3.91 is of 75%.
Step-by-step explanation:
Chebyshev Theorem
The Chebyshev Theorem can also be applied to non-normal distribution. It states that:
At least 75% of the measures are within 2 standard deviations of the mean.
At least 89% of the measures are within 3 standard deviations of the mean.
An in general terms, the percentage of measures within k standard deviations of the mean is given by [tex]100(1 - \frac{1}{k^{2}})[/tex].
In this question:
Mean of $3.69, standard deviation of $0.11.
What is the minimum percentage of stores that sell a gallon of milk for between $3.47 and $3.91?
3.47 = 3.69 - 2*0.11
3.91 = 3.69 + 2*0.11
So the minimum percentage within 2 standard deviations of the mean, which by Chebyshev's Theorem, is of 75%.
Answer:75%
Step-by-step explanation:
find the area of the trapezoid in square inches.
Answer:
Hello! answer: 64
Step-by-step explanation:
I split this into a triangle and rectangle and did the appropriate formulas for each for square I did base × height and got 48 because 8 × 6 = 48 then for the triangle I did base × height ÷ 2 So I did 8 × 4 = 32 32 ÷ 2 = 16 now I just add these two numbers up! so... 48 + 16 = 64 HOPE THAT HELPS!
Answer:
A = 64 in²
Step-by-step explanation:
Step 1: Add the bases
[tex]10 + 6 = 16[/tex]
Step 2: Multiply that by the height
[tex]16 * 8 = 128[/tex]
Step 3: Divide the result by 2
[tex]\frac{128}{2} = 64[/tex]
Therefore, the area of the trapezoid is 64 in²
There are 450 students at a middle
school. In a survey, 90 of the students
chose math as their favorite subject.
What percentage of students chose math
as their favorite subject?
A 9%
B 2%
C 20%
D 0.2%
Answer:
C 20 %
Step-by-step explanation:
90/450=0.2
0.2*100=20%
Which expression below has a coefficient of 3?
4x +9
5x-3
3x² + 3x4
Answer:
3x^2+3x4
Step-by-step explanation:
the coefficient comes before the variable
I just wanna know what the answer is and how you got it
Answer:
B, you're correct
Step-by-step explanation:
1/6+1/6+1/6+1/6+1/6+1/6+1/6+1/6+1/6= 1 3/6 = 1 1/2
1+3/6= 1 1/2
A) adds up to 2.5, but the fraction model adds up to 1.5
C) adds up to 1, but the fraction model adds up to 1.5
D) adds up to 7/6, but the fraction model adds up to 1.5
what is going on
I am confused
Answer:
What do you mean?
Step-by-step explanation:
I would suggest adding more info
Find the value of the following by suitable rearrangement. Mention the
property used.
a. 25 x 679 x 4
b. 2917 x 102 - 2917 x 2
(a) 67900
(b) 291700
Step-by-step explanation:(a) 25 x 679 x 4
Rearrange the terms starting with the smallest
4 x 25 x 679
The property used here is the commutative property of multiplication which states that the order in which these numbers are multiplied does not matter.
Now solve
4 x 25 x 679 = 67900
(b) 2917 x 102 - 2917 x 2
Factor out the common terms
2917(102 - 2)
Using the distributive property which states that when a number is multiplied by the sum or difference of two numbers, the result is the same as multiplying each of the two numbers by the number and then adding or subtracting the products.
Now solve
2917(102 - 2) = 2917(100)
= 291700
The sales tax rate is 8% if Jim bought a new Buick and paid a sales tax of 1,920 what was the cost of 1,920
Answer:
24000 I'm guessing you want to know the price of the car.
Step-by-step explanation:
1920/.08=24000
The spinner below shows
5 equally sized slices. Yolanda spun the dial
20 times and got the following results. (a) Assuming that the spinner is fair, compute the theoretical probability of landing on grey. (b) From Yolanda's results, compute the experimental probability of landing on grey. (c) Assuming that the spinner is fair, choose the statement below that is true:
As the number of spins increases, we expect the experimental and theoretical probabilities to become closer, though they might not be equal.
As the number of spins increases, we expect the experimental and theoretical probabilities to become farther apart.
The experimental and theoretical probabilities must always be equal.
A) there are 5 slices and 2 of them are grey.
The theoretical probability to land on grey would be the number of grey slices over the total number of slices: 2/5
B) the experimental probability would be the number of times the spinner landed in grey over the number of times the spinner was spun. From the table the spinner landed on grey 11 times and was spun 20 times. The experimental probability is 11/20
C) not all the answer choices are shown.
But the experimental and theoretical probabilities would most likely be different.
Answer:
From Yolanda's result, compute the experimental porbability of landing on grey
Step-by-step explanation:
The graph shows a function f(x). Determine the
following values.
f-1(4) =
f-1(-5) =
F-1(0) =
9514 1404 393
Answer:
f^-1(4) = 2f^-1(-5) = -4f^-1(0) = 0Step-by-step explanation:
The inverse of the function y = f(x) is ...
x = f^-1(y)
That is, to answer this question, you find the x-value that corresponds to the given y-value. The marked points are ...
(-4, -5), (-2, -4), (0, 0), (2, 4), (4, 5)
Look for the values 4, -5, 0 as the second number of these ordered pairs, and report the first number of the pair.
f^-1(4) = 2
f^-1(-5) = -4
f^-1(0) = 0
John walks his dog home from the vet. The graph shows the remaining distance from his house as a linear function of x, the number of minutes he spent walking. Find the domain and range of the graph.
Answer:
Step-by-step explanation:
domain is the input, or the x values, range is the output, or y values
x goes from 0 to 40 so that's the domain
y goes from 0 to 4 so that the range
Answer:
Y is more than or equal to 0, but less than or equal to 4.
X is more than or equal to 0, but less than or equal to 40
Step-by-step explanation:
Matthew has 5 1/4 bags of fertilizer to spread around his yard. Each bag of fertilizer will cover 115.4 ft2. How many square feet will Matthew be able to cover if he uses all of the fertilizer?
5_1/4 = 21/4 = 5.25 bags.
To find the number of square feet, multiply
5.25 by 115.4.
So, 5.25 x 115.4 = 259.65 ft^2.
A triangular pyramid has a base shaped like an equilateral triangle. The legs of the equilateral triangle are all 6 yards long, and the height of the equilateral triangle is 5.2 yards. The pyramid's slant height is 7 yards. What is its surface area?
Answer:
78.6 sq. yards
Step-by-step explanation:
SA = (½×6×5.2)+(3×½×6×7)
= 15.6 + 63 = 78.6 sq. yards
How many gallons of a plant food that is 6% nitrogen must be combined with another plant food that is 30% nitrogen to make 10 gal of a plant food that is 15% nitrogen?
Answer:
x = 6 1/4
y = 3 3/4
Step-by-step explanation:
let 'x' = gallons of 6% nitrogen
let 'y' = gallons of 30% nitrogen
system of equations:
x + y = 10; let y = 10-x
6x + 30y = 10(15)
substitute '10-x':
6x + 30(10-x) = 150
6x + 300 - 30x = 150
-24x = -150
x = 6 1/4
y = 3 3/4
Solve the system of equations with graph as given below. Write the solution as an ordered pair (x, y).
Answer:
(5,-2)
Step-by-step explanation:
The two equations are y=-x+3 and y=x-7
Their point of intersection, (5,-2), is the ordered pair solution to the system of equations.