Answer:
A. Reflection over the x-axis.
Step-by-step explanation:
Now, we present how to transform [tex]f(x) = x[/tex] into [tex]g(x) = -5\cdot (x-3)-8[/tex] below:
1) [tex]f(x) = x[/tex] Given.
2) [tex]f(x-3) = x - 3[/tex] Horizontal shift to the right.
3) [tex]-5\cdot [f(x-3)] = -5\cdot (x-3)[/tex] Vertical scale factor.
4) [tex]-5\cdot f(x-3)-8 = -5\cdot (x-3)-8[/tex] Vertical shift downwards.
5) [tex]g(x) = -5\cdot (x-3)-8[/tex] Definition/Result
In consequence, the only transformation which was not done to the linear parent function was a reflection over the x-axis. The correct answer is A.
In how many different ways can four students stand in a straight line if two of the students refuse to stand next to each other?
Hey there! I'm happy to help!
Let's look at each spot in the line from left to right and see how many choices they are.
In spot 1, we have 4 choices. Let's say that we choose the student who doesn't want to stand next to to the other student. This means that in the next slot, there are only 2 choices because he cannot stand by the other student. Now when we move to spot number three, there are only two choices left, and then there is 1.
4×2×2×1=16
So, there are 16 different ways the students can stand in a straight line if two of the students refuse to stand next to each other.
Have a wonderful day! :D
Answer:
16
Step-by-step explanation:
What is the measure of anglez in this figure?
Enter your answer in the box
430
z=
Elsa took out a 2-year loan to buy a car at a 6% simple interest rate. If she has to pay $264 in interest, how much principal did she borrow? ***REMEMBER - you must find out how much interest she will pay in 1 year!!!
Step-by-step explanation:
Given as :
The time period for the car loan = t = 2 years
The rate of interest applied = r = 6% at simple interest
The interest amount = S.I = $264
Let The principal amount which Elsa borrowed = $p
Now, From simple interest method
Simple Interest = 
Or, S.I = 
Or, $264 = 
Or, $264 × 100 = 12 × p
Or, p = 
∴ p = $2200
So, The principal she borrowed = p = $2200
Hence,The Principal amount that Elsa borrowed for the car loan is $2200 . Answer
Which set of rational numbers are ordered from least to greatest?
-3
- 2
-1 0
1
2
3
0-1-13.-14.-13
0-1,-1,-1,-1
0 -1,-11/11 - 11/20 - 11
0-13-13-13-1
Help!!
Answer:
B) -1 7/8, -1 1/2, -1 1/4, -1
Step-by-step explanation
jaime's older brother and his three friends want to split the cost of lunch. they also want to leave a 15%-20% tip. how much should each person pay?
cost of luch : $78.00
Answer:
31.2 Dollars.
Step-by-step explanation:
Answer:
23.4
Step-by-step explanation:
Given the vectors a and b, with lengths 21 and 44 respectively, and cosine of the angle between them equal to StartFraction 7 Over 12 EndFraction, find the scalar projection of a onto b and a · b.
ab =
a · b =
Answer:
First = 49/4
Second = 539
Step-by-step explanation:
The dot product is 539, and the scalar projection of a onto b is 49/4
What is a Vector?Vector is a quantity that has both magnitude and direction.
The scalar projection of a onto b is given by
[tex]\dfrac {a.b}{|b|}[/tex]
a.b = |a| |b| cos[tex]\rm \theta[/tex]
a.b = 21 *44 *(7/12)
a.b = 539
The dot product of a and b is 539.
The scalar projection is
= 539 / 44
= 49/4
Therefore, the dot product is 539, and the scalar projection of a onto b is 49/4.
To know more about Vector
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what is the answer what is q
Answer:
q= - [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
Simplify from 3 (q+4/3) = 2 to 3q+3(4/3)=2
Cancel the common factor 3
3q+4=2
3q=2-4
3q=-2
q=-2/3
What is the perimeter of the triangle in units of the triangle formed by the points (-3,1), (-3,5), and (4,1)?
let's say
A(-3,1) B(-3,5) C(4,1)
we need to find the perimeter of ABC for that we find each of the sides
AB BC and AC
there is a formula to find the distance between 2 poins
let's say that a point has the structure A(x1,y1) where x=-3 and y=1 and B(x2,y2) where x2=-3 and y2=5
AB=[tex]\sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]
AB=[tex]\sqrt{(-3+3)^2+(5-1)^2}[/tex]
AB=[tex]\sqrt{0^2+4^2}[/tex]
AB=4
we do the same thing for AC and BC
AC=[tex]\sqrt{(4+3)^2+(1-1)^2}[/tex]
AC=[tex]\sqrt{7^2+0^2}[/tex]
AC=7
BC=[tex]\sqrt{(4+3)^2+(1-5)^2}[/tex]
BC=[tex]\sqrt{7^2+(-4)^2}[/tex]
BC=[tex]\sqrt{49+16}[/tex]
BC=[tex]\sqrt{65}[/tex]
The perimeter is equal to the sum of the sides
P=AB+AC+BC=4+7+[tex]\sqrt{65}[/tex]=11+[tex]\sqrt{65}[/tex]
guys i need help
how to do 20 - 5(8^3 divided by 16)
Answer:480
Step-by-step explanation: (pemdas) hope this helps
find 3 consecutive numbers such that twice the greatest added to three times the least amount of 34.
Answer:
6
Step-by-step explanation:
2(x+2) + 3x
2x + 4 + 3x = 34
5x + 4 = 34
5x = 34–4
5x = 30
x = 30/5
x = 6
Are these triangles similar?
Known angles in Triangle 1: 40º, 60º
Known angles in triangle 2: 80º, 40º
One side of a rectangle is 5 feet longer than the other side. The diagonal of the rectangle is a side of a square. The area of the part of the square that doesn't overlap with the rectangle is 61 square feet. Find the lengths of the sides of the rectangle
Answer
Step by step explanation
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A triangle has the lengths of (10a+9) centimeter,(8a—3) centimeters and (10b+7). Which expression represents the perimeter in centimeters of the triangle
Answer:
P = (18a+10b+13) cm
Step-by-step explanation:
Given that,
A triangle has the lengths of (10a+9) cm, (8a—3) cm and (10b+7) cm.
We need to find an expression that represents the perimeter of the triangle.
Perimeter = sum of all sides
P = (10a+9) + (8a-3) + (10b+7)
Taking like terms together,
P = (10a+8a)+10b+(9-3+7)
= 18a+10b+13
Hence, the epresssion for the perimeter is (18a+10b+13) cm.
Can you answer this for me plz? Estimate 323 ÷ 5. Part A Which equations show how you can use multiplication to estimate the quotient? (A) 5 × 4 = 20 and 5 × 40 = 200 (B) 5 × 5 = 25 and 5 × 50 = 250 (C) 5 × 7 = 35 and 5 × 70 = 350 (D) 5 × 8 = 40 and 5 × 80 = 400 Part B Use the answer from Part A to estimate the quotient. Enter your answer in the box. The quotient of 323 ÷ 5 is about .
Answer:
30
Step-by-step explanation:
From the given information; we are to estimate 323 ÷ 5
The first thing to do is to round each integer to the nearest whole tens
i.e 323 is approximated to 300
5 is approximated to 10
∴
The estimated quotient of 300 ÷ 10
= 30
From part A, there is no equation that shows us how to use multiplication to estimate the quotient.
Anna and daniel are playing fraction capture. Anna is trying to find sectiones that add up to 3/4 she knows that 1/4 + 1/4 + 1/4 = 3/4 but she wants to earn an extra point for using a frction with a diffrent denominator. Write another number sentence Anna could use to show a sum of 3/4
Answer: [tex]\frac{1}{4} +\frac{1}{2}[/tex]
Step-by-step explanation:
given data:
fraction = [tex]\frac{3}{4}[/tex]
Solution:
se can make use of the fraction [tex]\frac{1}{4} + \frac{1}{2}[/tex] to get same answer as shown bellow.
[tex]=\frac{1}{4} + \frac{1}{2}[/tex]
first we look for the lcm of the denominators.
[tex]= \frac{2+1}{4}[/tex]
[tex]=\frac{3}{4}[/tex]
.
Point A is one vertex of triangle ABC. Point B is the x-intercept of 6x-4y=-12 and point C is the y-intercept. What are points B and C? Sketch the triangle in the coordinate plane.
Answer: point b=(-2,0) point c=(0.3)
triangle graph= c at the top b on the left side bottom and a on the right side botton
Step-by-step explanation:
Frank ate half of his jellybeans and then bought a package with 16 more. If he now has 20 remaining jellybeans, how many did he have in the beginning?
Answer:
8
Step-by-step explanation:
20-16=4 4*2=8
which of the following functions
best describes the graph
Hi ! Does the question include an image?
Answer:
This one
Step-by-step explanation:
Help me
At the school store of magic, a wand costs 2.31$ Mr. WIzard wants to get a new wand for each of his 22 students. He has a $50 dollar bill. Does Mr.Wizard have enough money? if yes, how much money will he have left? If no, how much more money will he need
State which theorem you can use to show that the quadrilateral is a parallelogram.
Answer:
We can use the theorem ''Parallelogram Diagonals Converse'' to show that the quadrilateral is a parallelogram.
Step-by-step explanation:
We know that the diagonals of any parallelogram bisect each other, each diagonal cutting the other into two equal parts.
In other words, according to Parallelogram Diagonals Theorem Converse, the figure will be a parallelogram if the diagonals of the quadrilateral figure cut (bisect) each other. It is basically the
From the given Parallelogram, it is clear that the diagonals bisect each other, each diagonal cutting the other into two equal parts with the length 3 units.
Therefore, we can use the theorem ''Parallelogram Diagonals Converse'' to show that the quadrilateral is a parallelogram.
Graph ∆KLM with vertices K(2,2), L(0,- 1), and M(-3,2). Graph ∆K'L'M' with a scale factor of 2. What are the coordinates of the new vertices?
Answer:
The coordinates of the new vertices are:
K'(4,4), L'(0,- 2), and M'(-6,4).
Step-by-step explanation:
In order to dilate a shape by 2, you can simply multiply the coordinates of the orignal triangle each by 2 to find the new coordinates of the new vertices.
K(2,2), L(0,- 1), and M(-3,2)
K'(2*2,2*2), L'(0*2,- 1*2), and M'(-3*2,2*2).
Now become...
K'(4,4), L'(0,- 2), and M'(-6,4).
You can now graph ∆K'L'M' using these coordinates.
Janet's has X dollars Henny has $8 less than Janet which expression shows how to find how many dollars Hanley has
Answer:
Henny = (x-8) dollars
Step-by-step explanation:
Janet's has x dollars.
Henny has $8 less than Janet. It means, the difference between the dollars own by Janet's and Henny is 8.
Henny has = (x-8) dollars
Hence, the expression that shows dollars Hanley has is (x-8).
A train in France can travel at a speed of 217.4 miles per hour. A train in China can travel 1.23 times this speed. How fast can the train in China travel in miles per hour?
Answer:
36.1
Step-by-step explanation:
The speed of the train in china is 267.4 miles per hour.
What is a unitary method?A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.
Given, A train in France can travel at a speed of 217.4 miles per hour.
A train in China can travel 1.23 times this speed to obtain the speed of the train in china we have to multiply how many times it is faster by the speed of the train in France which is,
= (217.4× 1.23) miles per hour.
= 267.4 miles per hour.
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The population of a certain bacteria doubles every 24 hours. How many times as great is the population after 5 days as the start
Answer:
256
Step-by-step explanation:
PLEASE HELP me with this <3
Answer:
Step-by-step explanation:
410 ft i think
Answer: 75.6
rounded= 76 ft
Step-by-step explanation:
Tan60= x/400 = 692.8
tan62.5= 4/400 = 768.4
x= 75.6ft
help me I will give brainiest
Complete the chart below for this word problem.
Canadian Tire is selling coffee mugs. A coffee mug costs $5 and each day the price increases by $2. (The algebraic equation for this: 5+2x)
Fill out the variable chart below for graphing. The days are on the x-axis and the cost is on the y-axis.
Answer:
The y-values from top to bottom are;
3, 5 , 7, 9, 11, 13, 15
Step-by-step explanation:
Here, we want to fill out the given table
Let us have an equation linking x and y
From the question, we can have this as;
y = 5 + 2x
When x = -1
y = 5 + 2(-1) = 3
when x = 0
y = 5 + 2(0) = 5
when x = 1
we simply add 2 to the previous
= 5 + 2 = 7
when x = 2
= 7 + 2 = 9
when x = 3
= 9 + 2 = 11
when x = 4
= 11 + 2 = 13
when x = 5
y = 13 + 2 = 15
Can somebody plz help answer these three word questions correctly thanks a lot >33
WILL MARK BRAINLIEST WHEOEVER ANSWERS FIRST :DDD
Answer:
a) The percent of their games the hockey team won is 60%
b) The percent of their games the hockey team lost is 37% to the nearest percent
c) The percent of their games the hockey team tied is 3% to the nearest percent
Step-by-step explanation:
In any game, there are 3 situations
WinTie LoseThe sum of the three situations is the total number of playing that game
∵ The hockey team won 72 out of 120 games and tied 4
∴ The number of winning games = 72
∴ The number of tying games = 4
∴ The number of total games = 120
→ Find the number of losing games
∵ Win + ty + lose = total games
∴ 72 + 4 + lose = 120
∴ 76 + lose = 120
→ Subtract 76 from both sides
∴ lose = 44
∴ The number of losing games = 44
Now let answer the questions
a)
∵ P%(win) = (winning ÷ total) × 100%
∴ P%(win) = (72 ÷ 120) × 100%
∴ P%(win) = 60%
The percent of their games the hockey team won is 60%
b)
∵ P%(lose) = (losing ÷ total) × 100%
∴ P%(lose) = (44 ÷ 120) × 100%
∴ P%(lose) = 36.66667% = 37% to the nearest percent
The percent of their games the hockey team lost is 37% to the nearest percent
c)
∵ P%(tie) = (tying ÷ total) × 100%
∴ P%(tie) = (4 ÷ 120) × 100%
∴ P%(tie) = 3.333333% = 3% to the nearest percent
The percent of their games the hockey team tied is 3% to the nearest percent
I REALLY NEED HELP!! PLEASE CAN SOMEONE HELP ME?
Answer:
The Super Sleuths did not find all 100 ounces of gold, they only found 92 2/3 ounces, so they have 7 1/3 more ounces of gold to find left.
Step-by-step explanation:
Pirate hid 100 ounces of gold.
1. 19 1/2 ounces of gold was found.
2. 26 2/3 more ounces of gold was found.
3. 5 1/6 more ounces of gold was found.
4. 48 1/3 more ounces of gold was found.
First, we need to add up all of the ounces of gold that was found.
12 1/2 + 26 2/3 = 39 1/6
5 1/6 + 48 1/3 = 53 1/2
53 1/2 + 39 1/6 = 92 2/3
100 - 92 2/3 = 7 1/3
which of the following is an arithmetic sequence.