Answer:
D
Step-by-step explanation:
|3x – 12| ≥ 6 put it into 2 cases
3x - 12 ≥ 6 or 3x - 12 ≤ -6
3x ≥ 18 or 3x ≤ 6
x ≥ 6 or x ≤ 2
The graph of F(x), shown below, has the same shape as the graph of
G(x) = x4, but it is shifted to the right 3 units. What is its equation?
A. F(x) = - 3
O B. F(x) = (x-3)4
O C. F(x) = (x+3)4
O D. Fx) = 44+ 3
Answer: F(x) = 4x - 16
Step-by-step explanation: G(x) = 4x
if F(x) is the graph G(x) shifted over to the right by 4 then
F(x) = G(x-4) = 4(x-4) = 4x - 16
The general equation is f(x - amount_shifted)
The equation of the graph of the function F(x) is F(x) = (x - 3)⁴.
What is Translation of Functions?Translation of functions is defined as the when each point in the original graph is moved by a fixed units in the same direction.
There are horizontal translation and vertical translation of functions.
Given a function F(x) and G(x).
Given that,
F(x) has the same shape as the graph of G(x) = x⁴.
The difference is that F(x) is shifted to the right 3 units.
A function G(x) when shifted right to k units becomes G(x - k).
So the function F(x) is,
F(x) = G(x - 3)
= (x - 3)⁴
Hence the correct option is B.
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The sum of two times a number and seven is five times the difference of a number and six. Solve for the variable then Round your answer to the nearest hundredths.
Answer:
4.33
Step-by-step explanation:
2N + 7 = 5N - 63N = 13N = 13/3N = 4.33A solid object was sliced to form two new objects. Each of the two new objects had a circular base. Which of the following solids may have been the original object? Select all that apply.
A: trapezoidal prism
B: cylinder
C: hexagonal prism
D: triangular pyramid
E: cone
First round 0.676 to the nearest tenth.
Answer:
0.7
Step-by-step explanation:
Since 7 is above 5, you round 0.676 to 0.7
Answer: 0.7
Step-by-step explanation:
The nearest tenth is one decimal space after the dot. ex: 0.1234
Therefore, rounding 0.676, the 7 is ≥ 5, therefore we round the 6 up one number. This means the 0.6 becomes 0.7.
In a right triangle, a and b are the lengths of the legs and c is the length of the hypotenuse. If a=3 inches and b=1 inch, what is c? If necessary, round to the nearest tenth.
We are given with
a = 3 inches
b = 1 inch
and c = ?
So as it is a right triangle and a and b are for legs
also c is for hypotenuse
=> We can apply Pythagoras theorem
[tex]\:\bf\boxed{Pythagoras\: Theorem\: =>\: c \:= \:\sqrt{a²\: +\:b²}}[/tex]
=> [tex]\:\mathtt{\:c \:= \:\sqrt{(3)²\: +\:(1)²}}[/tex]
=> [tex]\:\mathtt{\: c \:= \:\sqrt{9\: +\:1}}[/tex]
=> [tex]\:\mathtt{\: c \:= \:\sqrt{10}}[/tex]
=> [tex]\:\mathtt{\: c \:= \:3.16}[/tex]
Required nearest tenth number for hypotenuse = 3.2 inches
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Find the value of x in the triangle shown below.
=
२०
14
14
50°
18
Answer:
x = 87
Step-by-step explanation:
37 + 56 = 93
triangles always equal to 180
180 - 93 = 87
pls help i need a good grade pls
Answer:
[tex]4*\frac{1}{6}[/tex]
Step-by-step explanation:
The number lines end points are 0 and 1 so the whole number line has a value of 1.
The number line is also broken up into 6 sections.
Then we have the pink rectangles that cover up each section. There are 4 of them and each cover 1/6 of the number line
So the expression that would represent the model would be 4 x 1/6
Answer:
4 * 1/6
Step-by-step explanation:
So to begin, I would find out what all the answers are equal to.
4 * 1/8 = 4/8 = 1/2
4 * 1/4 = 4/4 = 1
4 * 1/6 = 4/6 = 2/3
4 * 1/3 = 4/3
Next I would rule out all the answers bigger or equal to one, so 4 * 1/4 and 4 * 1/3.
Last, this fraction splits one into six parts, and 4 parts are highlighted. 4/6 is equal to 4/6. Your answer is 4 * 1/6
Find the volume and surface area of the trapezoidal prism.
Answer:
sa =45
vol = 6000.
I hope it helps. and if you can, give me the brainlist
select the option for ? 3, 5, 12, 55, 648, ?
Answer:
What option are you talking about for, is it for your quiz or for your classwork
2x-y=-2 & x-2y=-16
It's due in an hour and I'm almost done :)
The swim team is sharing 6 pizzas. There are 36 players on the team. If each member has 1 slice, and each pizza has 8 slices, how much pizza in fraction form is left over?
The amount of pizza left over in the fraction form will be 1/4.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the swim team is sharing 6 pizzas. There are 36 players on the team. If each member has 1 slice, and each pizza has 8 slices.
Total slices = 8 x 6 = 48
Total players = 36
Left slices = 48 - 36 = 12
The portion in fraction left is,
L = 12 / 48
L = 1 / 4
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Write a second degree polynomial with real coefficients and the given root; -2i
Answer: x^2+4
Work Shown:
x = -2i
x^2 = (-2i)^2
x^2 = 4i^2
x^2 = 4(-1)
x^2 = -4
x^2+4 = 0
Side note: Since -2i is one root, this means 2i is the other conjugate root.
[tex]\text{For quadratic equations, if one root is complex, the other root will be its conjugate.}\\\\\text{So, the roots of the second degree polynomial are}~ \alpha = -2i ~~ \text{and}~~ \beta =2i \\\\\text{The equation is,}\\\\~~~~~~~x^2-(\alpha + \beta) x +\alpha \beta = 0\\ \\\implies x^2 -(-2i+2i)x +(2i)(-2i)=0\\\\\implies x^2 -0\cdot x -4i^2 =0\\ \\\implies x^2 -4(-1)=0\\\\\implies x^2 +4=0[/tex]
If x=5 and y=7, evaluate the following expression:
20−(3y−4x)
Answer:
[tex]\huge\boxed{\bf\:19}[/tex]
Step-by-step explanation:
Given,
x = 5y = 7Now, the expression is: [tex]20 - (3y - 4x)[/tex].
To solve this question we just need to substitute the values of x & y in the given expression. Then,
[tex]20 - (3y - 4x)\\= 20 - (3(7) - 4(5))\\= 20 - (21 - 20)\\= 20 - 1\\= \boxed{\bf\:19}[/tex]
[tex]\rule{150pt}{2pt}[/tex]
Chad is making trail mix for his next hiking club meeting. He mixes 2 pounds of peanuts, 2 pounds of raisins, and 1 pound of chocolate chips. His little sister asks him for a snack, so he gives her 5 ounces of the trail mix. Then, he portions out the rest for his meeting. If Chad splits the remaining trail mix evenly among 25 snack bags, how many ounces of trail mix will each bag have?
Answer:
3 ounces
Step-by-step explanation:
1 pound = 16 ounces
2(16) + 2(16) = 16 = 80 ounces of train mix - 5 from sister = 75 remaining
75 ounces of trail mix / 25 snack bags = 3 ounces of mix in each bag
Yahaya, a Tailor started sewing an agabada dress at 9:45am. he completed the dress at 12:30pm. How long did he take to sew the dress
The area of a rectangle is 99 ft2, and the length of the rectangle is 7 ft more than twice the width. Find the dimensions of the rectangle.
Length: ft
5 ?
Width:
Answer:
[tex]Width = 11/2ft, Length = 18ft[/tex]
Step-by-step explanation:
I'm not sure this might be right, hope this is helpful!
Can someone please help
Answer:
48
Step-by-step explanation:
The sum of the measures of the angles of a triangle is 180°.
We know one angle measures 42°.
Another angle is a right angle, so it measures 90°.
Only the angle labeled x is unknown.
42 + 90 + x = 180
132 + x = 180
x = 48
Answer: 48
Can someone please help me with 4, 5, 6, 7, 8
hi! how do i do this?
Answer:
p = 2
Step-by-step explanation:
A rational function has a vertical asymptote where the denominator is zero.
__
Your function will have a denominator that is zero when ...
x -p = 0 ⇒ x = p
We are told there is a vertical asymptote at x = 2. That means ...
p = 2
Rachael mixes 750 mL of mango juice 650 mL of orange juice and 325 mL pineapple juice she add sparkling water to fill the punch bowl that has a capacity of 2.5 L how many liters of juice does Rachel use show all work
Answer:
A. 1.725 L
B. 0.0775 L or 775 mL
Step-by-step explanation:
Part A
↓ Determine the liters of juice Rachel used ↓
750 + 650 +325 = 1,725
Rachel used 1,725 mL of juice. Convert the given mililiters to liters.
[tex]1725 \: ml \: \times \frac{1liter}{1000 \: ml} = 1.725 \: liters[/tex]
→ Rachel used 1.725 L of juice
Part B.
Determine the amount of sparkling water added to the punch bowl.
2.5 - 1.725 = 0.775 L
0.775 L was added tot he punch bowl. Convert liters to milliliters. ↓
[tex]0.775 \: \times \frac{1000 \: ml}{1 \: liters} = 775 \: ml[/tex]
Therefore, the answer is:
1.725 L & 775 mL
If f(x) =1/x and g(x) = x - 2 what is f(g(x)) when X = 1
Answer:
f(g(x)) = -1
Step-by-step explanation:
[tex]f(x) = \frac{1}{x} \\ \\ g(x) = x - 2 \\ \\ \implies \: f(g(x)) = \frac{1}{x - 2} \\ \\ \implies \: f(g(1)) = \frac{1}{1 - 2} \\ \\ \implies \: f(g(1)) = \frac{1}{ - 1} \\ \\ \implies \: f(g(1)) = - 1[/tex]
Eric has 9 large pitchers for a sport drink at the soccer game. If he pours 4/7 of the sports drink into each pitcher will the total amount he lours into those pitchers be more or less than9 gallons?
Answer:
more because it is 9 pitchers and 4/7 of energy drink in each
Which of the following functions has an inverse that is not a function?
Answer:
[tex]f(x) = x(x - 1)[/tex]
Step-by-step explanation:
The inverse of a quadratic function is not a function.
can anyone help without using reciprocal?
Answer:
x = -5/3
Step-by-step explanation:
-4 = [tex] \dfrac{20}{3}x[/tex]
-4×3 = 20 x
-12 = 20 x
[tex]x = \dfrac{-5}{3}[/tex]
fred buys a shipment of fruit that consists of only apples and oranges. for every 3 apples, there are 2 oranges. if there are 5 dozen pieces of fruit total, how many are oranges?
Answer:
24
Step-by-step explanation: 5 dozens = 60 so 3 +2=5 . 60 / 5 = 12 12 x 2 = 24
Margo borrows $200, agreeing to pay it back with 8% annual interest after 7 months. How much interest will she pay?
Answer:
$9.33
Step-by-step explanation:
Interest = Principal × Rate × Time by 100
Therefore, I = 200×8×7/12 by 100
=16×7/12
=9.33
3. Given the geometric series 300 +360+432 +518.4+, what is the sum of the first 10 terms?
The sum of the first 10 terms of the given geometric series 300 +360+432 +518.4+..... is 7787.60.
What is the sum of terms of a geometric sequence?Let's suppose its initial term is a , the multiplication factor is r
and let it has total n terms, then, its sum is given as:
[tex]S_n = \dfrac{a(r^n-1)}{r-1}[/tex]
(sum till nth term)
For the given geometric series, the common ratio is,
r = (360/300) = 1.2
Also, the first term of the series is 300. Therefore, the sum of the first ten terms of the series are:
Sum = a(rⁿ-1)/(r-1) = 300(1.2¹⁰-1)/(1.2-1) = 300(5.1917)/0.2 = 7787.60
Hence, the sum of the first 10 terms of the given geometric series is 7787.60.
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What are the surface areas of these two prisms
Please i really need help, i really need this i will give a brainliest to the people that answer correctly
Answer:
Graph B
Step-by-step explanation:
Replace y with x and vice versa.
y=1/2x+2 becomes x=1/2y+2
Then solve for y. Subtract 2 from both sides, then multiply by 2 which results in:
y=2x-4
Graph B is the one that has a y-intercept at -4 and a rise/run of 2.
A circle with a radius of 9 millimeters.
Answer:
You didnt give us a question to answer, just a statement.
Step-by-step explanation:
