If f(x) = 4x − 6 and g(x) = 6x − 4, what is f · g?
Answers
Answer:
f · g = 24x² - 52x + 24
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
- Left to Right
Algebra I
- Terms/Coefficients
- Expand by FOIL
- Functions
- Function Notation
Step-by-step explanation:
Step 1: Define
Identify
f(x) = 4x - 6
g(x) = 6x - 4
Step 2: Find f · g
- Substitute in function values: f · g = (4x - 6)(6x - 4)
- Expand [FOIL]: f · g = 24x² - 16x - 36x + 24
- [Subtraction] Combine like terms: f · g = 24x² - 52x + 24
Related Questions
A certain office supply store stocks 2 sizes of self-stick notepads, each in 4 colors: blue, green, yellow, or pink. The store packs the notepads in packages that contain either 3 notepads of the same size and the same color or 3 notepads of the same size and of 3 different colors. If the order in which the colors are packed is not considered, how many different packages of the types described above are possible?A. 6.B. 8.C. 16.D. 24.E. 32.
Need help worth 34 points!
For a button to fit through its buttonhole, the hole needs to be the size of the button's diameter. Whatsize buttonhole is needed for a button with a circumference of 7.38 centimeters? (Use the value of 3.14 to represent pi.) A. 2.35 centimeters B. 1.14 centimeters C. 5.14 centimeters D. 3.69 centimeters
Solve for x.4 + 2x = 10
Answers
Answer D
A Slopes :5/8,12/5==> no product is not -1
B:slopes: -1/2,3 no
C:slopes:2,-1/3 no
D:slopes:-3/2,2/3 Yes product=-1
Answer:
The answer is D
Step-by-step explanation:
D(4, 4)
D(3, 3)
D(8, 4)
Answers
Answer:
The correct option is;
D(4, 4)
Step-by-step explanation:
The given coordinates of the points are, A(2, 3) B(8, 7), C(6, 1), therefore, the coordinates of the point D that will make CD perpendicular to AB will have a slope = -1/m, where, m = the slope of the line segment AB
The formula for finding the slope, m, of a segment, given the coordinates of two points on the straight line segment (x₁, y₁), (x₂, y₂)
Therefore, for, the segment AB, we have;
m = (7 - 3)/(8 - 2) = 4/6 = 2/3
m = 2/3
Therefore, to make the segment AB perpendicular to the segment CD, the slope of the segment CD will be -1/m = -1/(2/3) = -3/2
The equation of the segment CD in point and slope form is therefore;
y - 1 = -3/2×(x - 6)
y - 1 = -3·x/2 + 9
The standard form of the equation of the segment CD is therefore;
y = -3·x/2 + 9 + 1 = -3·x/2 + 10
y = -3·x/2 + 10
The point that satisfies the above equation is the point (4, 4) because;
4 = -3 × 4/2 + 10
The correct option is therefore, D(4, 4).
Choose one answer.
a. mean = 6.8, median = 5, mode = 4
b. mean = 7.5, median = 5, mode = 4
c. mean = 7.5, median = 8, mode =4
d. mean = 6.8, median = 5, mode = 8
Answers
1, 4, 4, 4, 4, 5, 7, 8, 15, 15, 15 ( These are 11 numbers)
For mean, you have to add all the numbers then divide it by 11.
The answer is about 7.5
For median, you have to find the "middle number, but you have to organize the numbers from smallest to largest like I did.
1, 4, 4, 4, 4, 5, 7, 8, 15, 15, 15 . 5 is the middle number, well because its in the middle
For mode you have to find the number that is most repeated.
1, 4, 4, 4, 4, 5, 7, 8, 15, 15, 15 (there are three 15's)
There are four 4's so the answer is 4
The answer, then is B
Add:
Divide:
The median is the middle number. First, line up the numbers in order of least to greatest.
1, 4, 4, 4, 4, 5, 7, 8, 15, 15, 15
Now find the number in the middle:
That number is 5, so that's our median.
The mode is the most repeated number.
As you can see, 4 is repeated the most, so it's the mode.
Answers
1/4 is equal to 3/12
and
1/3 is equal to 4/12
so you can see that 4/12 is greater than 3/12 so 1/3 is GREATER than 1/4 :))))
I hope this is helpful
have a nice day
the window?
Answers
Answer:
Step-by-step explanation:
area of parallelogram = b times h
18/3 = 6 feet