Answer:
We conclude that
(g o f) (4) = 9
Hence, option C is correct.
Step-by-step explanation:
Given
f(x) = -x³
g(x) = |1/8x - 1|
To determine
(g o f) (4) = ?
Using the formula
(g o f) (4) = g[(f(4)]
first we need to determine f(4)
so substituting x = 4 into f(x) = -x³
f(x) = -x³
f(4) = -(4)³ = -64
so
(g o f) (4) = g[(f(4)] = g(-64)
so substitute x = -64 in g(x) = |1/8x - 1|
[tex]g\left(x\right)=\left|\frac{1}{8}x-1\right|[/tex]
substitute x = -64
[tex]g\left(-64\right)=\left|\frac{1}{8}\left(-64\right)-1\right|[/tex]
[tex]=\left|-\frac{1}{8}\cdot \:64-1\right|[/tex]
[tex]=\left|-8-1\right|[/tex]
[tex]=\left|-9\right|[/tex]
Apply absolute rule: |-a| = a
[tex]=9[/tex]
Therefore, we conclude that
(g o f) (4) = 9
Hence, option C is correct.
I need help plz and thank u sm
Answer:
5x + 3
Step-by-step explanation:
Since we can see DC is the median of Triangle ABC
So it breaks the into two equal parts
Given
AD = 2x + 5
BD = 3x - 2
Now
AB = AB + BD
= 2x + 5 + 3x - 2
= 5x + 3
Hope it will help :)❤
Which is the midpoint of AB with A(-1, 5) and B(6, -3)?
Answer:
abcdef
Step-by-step explanation:
What is HL?
HL =
(in the attachment)
Answer:
try 21
Step-by-step explanation:
if not im as stuck as you are :(
i need help quick for this math question
Answer:
i think option 3
Step-by-step explanation:
im not sure but i think
Answer:
Option 3
Step-by-step explanation:
Hoped I helped like plss
In order to solve the equation x/8=-3. Step by step please
Answer:
-24
Step-by-step explanation:
1. Multiply both sides of the equations by 8 to get rid of the 8 in x/8
2. 8 cancels out and we are left with x=-3 x 8
3. -3 times 8 is -24
24 birthdays in 100 days. What
percent of days are birthdays?
Answer:
24%
Step-by-step explanation:
24/100 =.24 which as a percent is 24%
someone help. Simplify: (1/a)^3
Answer:
1/a3 is the simplify expression for the equation
Bentley spun a spinner with 4 equal sections labeled 1–4. The spinner landed on 1 three times, on 2 four times, on 3 six times, and on 4 three times. For which number is the experimental probability the same as its theoretical probability? Explain.
Answer:
2
Step-by-step explanation:
Experimental probability : (Number of times event occur / total number of trials)
Total Number of trials = (3 + 4 + 6 + 3) = 16
Experimental probability :
For 1: P(1) :
3/16
For 2 : P(2) :
4/16 = 1/4
For 3: P(3)
6 /16 = 3/8
For 4 : P(4)
3 / 16
Theoretical probability :
The Theoretical probability of 1, 2, 3 and 4 are the same ;
Theoretical probability =
(Required outcome / Total possible outcomes)
For each of 1 - 4
Theoretical probability = 1 /4
Experimental probability of P(2) = 1/ 4 and is Hence, the same as the Theoretical probability
Can someone please help me with this question:3.225 x 8.06=?
Answer:
25.99350
Step-by-step explanation:
3 . 2 2 5
× 8 . 0 6
1 1 1 3
0 . 1 9 3 5 0
2 1 2 4
2 5 . 8 0 0 0 0
2 5 . 9 9 3 5 0
what is 1/4 of 84 and hury please
Answer:
21
Step-by-step explanation:
Mr. Selan loves the 99-cent menu at Wendy's (sadly prices went up a few years ago). He used to buy two chicken sandwich at 99-cents each. With a tax of 8.5%, how much would he pay for the two sandwiches? Round your answer to the nearest cent
Answer:
Mr. Selan would pay $2.15 for the sandwiches with tax.
Step-by-step explanation:
Given that:
Cost of each sandwich = 99 cents
Cost of two sandwiches = 99*2 = 198 cents
Sales tax = 8.5%
Sales tax = [tex]\frac{8.5}{100}*198=16.8\ cents[/tex]
Sales tax = 17 cents
Total cost = 198 + 17 = 215 cents
Total cost = $2.15
Hence,
Mr. Selan would pay $2.15 for the sandwiches with tax.
6th grade math help me plz
Evaluate y=5x+7, for x=3.
Alyssa sold half of her comic books and then bought 8 more. She now has
12. How many did she begin with ?
Answer:
8 Books
Step-by-step explanation:
First find how many she had before buying 8 more-
12 - 8 = 4
Then multiply that by 2
4 x 2 = 8
The had 8 books to begin with
Select the correct shapes.
Select the shapes that are similar to shape A.
Answer: Its the pink one and the green one
hope that was helpful!
Step-by-step explanation:
Answer:
pink, dark blue, and red
Step-by-step explanation:
Marla's test scores were 93, 81, 77, and 97. What is Marla's test average?
Answer:
87
Step-by-step explanation:
Hi!
First you add all of the numbers up together:
77+81+93+97= 348
Next, you divide the answer you got above by how many numbers are in your data set:
348/4 = 87
4 because 77,81,93,97 thats four numbers :)
Therefore, Marla's test average is 87!
So anytime you need find the average of any data set, you just add all the numbers together, then divide by the quantity of numbers there are.
Write a system of linear inequalities represented by the graph.
Inequality 1:
Inequality 2:
Answer:
Inequality (1) → y > 2x
inequality (2) → x ≥ -2
Step-by-step explanation:
If the inequality (1) is a dotted line passing through origin.
Since, shaded area is above the dotted line,
Equation of the inequality will be in the form of y > mx +b
Here m = slope of the dotted line
b = y-intercept
Since, this line is passing through the origin,
Therefore, y-intercept = 0
Slope 'm' of the line = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]
= [tex]\frac{2}{1}[/tex]
m = 2
Inequality (1) → y > 2x
Second inequality is represented by the shaded area on the right side of the dark vertical line, x = -2,
Therefore, inequality 2 will be → x ≥ -2
Answer: x≽-2 and y>2x
brain list you
ω please
Answer:
C
Step-by-step explanation:
RSTis graphed on a coordinate plane below. The triangle undergoes two
transformations and the new vertices are R"(4,2), S"(8,2), and T"(8,-6). Determine
the transformations and the order in which they were applied.
A. 90° counter-clockwise rotation, then reflected across the y-axis
B. Reflected across the y-axis, then a 90° counter-clockwise rotation
C. 90° counter-clockwise rotation, then reflected across the x-axis
D. Reflected across the y=x, then a 90° counter-clockwise rotation
Answer:C
Step-by-step explanation:
Transformation involves changing the position of a shape
The transformations and the order in which they were applied are:
A. 90° counter-clockwise rotation, then reflected across the y-axis
From the figure, the coordinate of RST is:
[tex]R= (2,4)[/tex]
[tex]S = (2,8)[/tex]
[tex]T =(-6,8)[/tex]
Using R to illustrate the transformation.
We have
[tex]R= (2,4)[/tex]
First, R is rotated 90 degrees counterclockwise
The rule of this transformation is:
[tex](x,y) \to (-y,x)[/tex]
So, we have:
[tex](2,4) \to (-4,2)[/tex]
Next, the point is reflected across the y-axis.
The rule of this transformation is:
[tex](x,y) \to (-x,y)[/tex]
So, we have:
[tex](-4,2) \to (4,2)[/tex]
From the question, we have the coordinate of R" to be;
[tex]R: =(4,2)[/tex] --- same as the result of the above sequence
Hence, option (A) is correct
Read more about transformations at:
https://brainly.com/question/13801312
Tim and Ollie share some money in the ratio 2:5
Tim gets £80
Work out how much Ollie gets.
Answer:
£200
Step-by-step explanation:
The ratio is 2:5
we then have
80:x
Because one side of the ratio was multiplied by 40 we have to do the same to the other
20*5=200
therefore our new ratio is
80:200
Ollie gets £200
What is the approximate volume of the sphere? Use and round to the nearest whole cubic unit. 42 cubic units 126 cubic units 4187 cubic units 73,385 cubic units
The question is incomplete, the complete question is;
The radius of the sphere is 10 units.What is the approximate volume of the sphere? Use π = 3.14 and round to the nearest whole cubic unit. cubic units
Answer:
4187 cubic units
Step-by-step explanation:
According to the question;
radius (r) = 10 units
π = 3.14
Volume of a sphere = 4/3*π*r^3
Substituting values;
V = 4/3*(3.14)*(10)^3
V = 4186.67 cubic units
V = 4187 cubic units (To the nearest whole cubic unit)
Answer:
It's C on Edge
Step-by-step explanation:
Una torta de queso para 4 personas presisa 300g de queso, 10ml de leche, 100g de azucar, 100g de mantequilla y 50g de harina, si queremos hacer una tarta para 6 personas, qué cantidad de ingredientes necesitaremos?
Answer:
Por tanto, la cantidad de ingredientes necesarios para 6 personas es:
450 g de queso, 15 ml de leche, 150 g de azúcar, 150 g de mantequilla y 75 g de harina.
Step-by-step explanation:
Por lo tanto:
Para queso
4 personas = 300g de queso
6 personas = x
Cruz multiplicar
4x = 6 × 300g
x = 6 × 300 g / 4
x = 450 g de queso
Por 10ml de leche
4 personas = 10 ml de leche
6 personas = x
Cruz multiplicar
4x = 6 × 10 ml
x = 6 × 10 ml / 4
x = 15 ml
Por 100 g de azúcar
4 personas = 100 g de azúcar
6 personas = x
4x = 6 × 100g
x = 6 × 100 g / 4
x = 150 g de azúcar.
Por 100 g de mantequilla
4 personas = 100 g de mantequilla
6 personas = x
4x = 6 × 100g
x = 6 × 100 g / 4
x = 150 g de mantequilla
Por 50 g de harina
4 personas = 50 g de queso
6 personas = x
4x = 6 × 50g
x = 6 × 50 g / 4
x = 75 g de queso.
Por tanto, la cantidad de ingredientes necesarios para 6 personas es:
450 g de queso, 15 ml de leche, 150 g de azúcar, 150 g de mantequilla y 75 g de harina.
Which set of ordered pairs does not represent a function? Delta math
Answer:
The first set of ordered pairs is a function, because no two ordered pairs have the same first coordinates with different second coordinates. The second example is not a function, because it contains the ordered pairs (1,2) and (1,5). These have the same first coordinate and different second coordinates
please answer for 20 points
Answer:
C
Step-by-step explanation:
whenever you see a (as in ax^2 + bx+c) as a number other than 1, you should see if you can factor that out
2(6x^2 -x -1)
= 2(3x+1) (2x-1)
Answer:
2\(3x+1)(2x-1\)
Step-by-step explanation:
OMG PLS GET THIS RIGHT ILL MARK CROWN
The correct answers are E and C.
PLEASE PLEASE HELP ME I WILL MARK BRAINLIEST
Answer:
x = -25i
x = 25i
A group of students went on a field trip. There were 3 boys for every 4 girls inthe group. If there were 20 girls, how many students in all went on the field trip? 10 points
Answer:
15 boys
Step-by-step explanation:
start by dividing 20 by 4
you get 5
5 times 3 next
now you have 15
Answer:
25 girls and boys
Step-by-step explanation:
There are 3 boys for every 4 girls
To find the rate we must
Divide 20 by 4 then multiply that by 3
20 divided by 4 is 5
5 times 3 is 15
15 boys went on the field trip
20 girls went on the field trip
The total number of students is 25 girls and boys
Find f(-2), if f(x)=-3x^2-5x+11
Answer:
f(-2) = 9
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
f(x) = -3x² - 5x + 11
f(-2) is x = -2
Step 2: Evaluate
Substitute in x: f(-2) = -3(-2)² - 5(-2) + 11Exponents: f(-2) = -3(4) - 5(-2) + 11Multiply: f(-2) = -12 + 10 + 11Add: f(-2) = -2 + 11Add: f(-2) = 9
Mark and his cousin are playing a game where they pick up colored sticks. Mark currently has 45 points and likes to pick up the orange sticks, earning 5 points every turn. His cousin just lost all his points on the previous turn, and has a strategy to catch up by getting all the white ones, earning 14 points per turn. In a certain number of turns, the score will be tied. How long will that take? How many points will they each have?
Answer:
they have total 30 point
A caterer prepares twice as many pizzas as she usually prepares for a large party. The caterer usually prepares 6 pizzas. The caterer also estimates that each party guest will eat
1
2
of a pizza.
Drag and drop each expression into the correct boxes to complete the explanation.
The expression that represents how many guests the pizzas can serve is .
How many party guests will the pizzas serve? Drag and drop the number of guests into the box.
The pizzas can serve guests.