Answer:
f(x) = -4x² + 19x - 18
Step-by-step explanation:
[tex]f(x) = 2x^2 - 1.5x - 5[/tex]
i) If it is translated 2 units in the positive x direction, therefore we use f(x-2)
[tex]y=f(x-2) = 2(x-2)^2 - 1.5(x-2) - 5\\y = 2(x^2-4x+4) - 1.5x+3 - 5\\y=2x^2-8x+8-1.5x+3-5\\y=2x^2-9.5x+6[/tex]
f(x) = 2x² - 9.5x + 6
If it is then translated 3 units in the positive y, we add 3 to the input function to get:
[tex]y=f(x)+3=2x^2-9.5x+6+3\\y = 2x^2-9.5x+9[/tex]
ii) stretched vertically by a factor of 2, we multiply the function by 2 to get:
[tex]y =2( 2x^2-9.5x+9) = 4x^2-19x+18\\y= 4x^2-19x+18[/tex]
iii) reflected across the x-axis
we multiply the parent function by –1, to get a reflection about the x-axis.
[tex]y= -1(4x^2-19x+18)=-4x^2+19x-18\\y=f(x)=-4x^2+19x-18[/tex]
1
Andrea has 3 tiles.
One is a regular octagon, one is a regular pentagon
and one is a regular hexagon.
Andrea thinks the 3 tiles will fit together perfectly,
as shown in the diagram.
Show calculations to prove that she is wrong.
Andrea is incorrect. Given 3 tiles will not fit together perfectly.
Angles formed at a point: Sum of all angles around a point is 360°.
As shown in the picture,
If the tiles join perfectly at a point, sum of all angles around the joining point should be 360°.
Expression for the measure of the interior angle of a polygon,
Interior angle of a polygon = [tex]\frac{(n-2)\times 180^\circ}{n}[/tex]
Interior angle of a pentagon = [tex]\frac{(5-2)\times 180^\circ}{5}=108^\circ[/tex]
Interior angle of a hexagon = [tex]\frac{(6-2)\times 180^\circ}{6}=120^\circ[/tex]
Interior angle of an octagon = [tex]\frac{(8-2)\times 180^\circ}{8}=135^\circ[/tex]
To prove that the given tiles fit together perfectly → Sum of all the angles around the common point should be 360°
Sum of all interior angles = 108° + 120° + 135°
= 363°
Therefore, given tiles will not fit together perfectly.
Learn more about the interior angles of a polygon here,
https://brainly.com/question/12871621?referrer=searchResults
How many inches are in 3 feet?
A. 4 inches
B. 15 inches
O c. 24 inches
D. 30 inches
E. 36 inches
Answer:
e. 36 inches
Step-by-step explanation:
there are 12 inches in a foot 3 times 12 is 36
Answer:
Your correct answer is Option E. 36 inches
Step-by-step explanation:
Aaron needs 24 inches of copper wire for an experiment. The wire is sold by centimeter. How many centimeters of wire does Aaron need? (1 inch= 2.54 cm)
Answer:
60.96 cm
Step-by-step explanation:
you do proportions
1 in = 2.54
24in= ?
you multiply 2.54 by 24
Answer:Hence, Aaron needs 60.96 centimeters of wire.
Step-by-step explanation: Multiply both sides by 2.54.
Multiply both sides by x.
x = 60.96
You are 64 inches tall and your shadow is 72 inches long. A tree casts a shadow of 144 inches. How tall is the tree? 100 in. 128 in. 136 in. 150 in.
Answer:
I think it's 136 inches...
Step-by-step explanation:
Answer:
128 in.
Step-by-step explanation:
right on test
Which is the graph of f(x) = StartRoot x EndRoot?
Answer:
B
Step-by-step explanation:
On a coordinate plane, an exponential function increases in
quadrant 3 into quadrant 4 and approaches y = 0. It goes through
(negative 1, negative 2) and crosses the y-axis at (0, negative 0.25) ⇒ last answer
HOPE IT HELPS ....
sid and micah solve the equation below:
[tex]\frac{1}{2} (6x-10) = 2x+1[/tex]
sid's first step results in [tex]3x-5= 2x+1[/tex]
micah's first step results in [tex]6x-10 =4x+1[/tex]
a) Micah is correct
b) sid is correct
c) neither of them are correct
d) they are both correct
A store buys a bag of chips
from a distributor for $0.50 and marks it
up 150%. How much does the store sell the
bag of chips for?
Answer:
Step-by-step explanation:
75p
Answer:
The answer is $0.75
Step-by-step explanation:
150 percent *0.50 =
(150:100)*0.50 =
(150*0.50):100 =
75:100 = 0.75
You invest money at 6% interest compounded annually for 3 years. If the future value of your investment is $1800, how much money did you invest? Show your work.
Answer:
Step-by-step explanation:
FV = P(1+r)^t
1800 = P(1+0.06)^3
1800 = P(1.06)^3
P = 1800/(1.06)^3 = $1511
A math teacher gave her students two tests. On the first test, 80% of the class passed the test, but only 30% of the class passed both tests.
What is the probability that a student passes the second test, given that they passed the first one?
55% because you add 80% and 30% which is 110% and divide that by 2.
I need help with as soon a posible
Answer:
250
Step-by-step explanation:
[tex]2*5^3=2*(5*5*5)\\=2*125\\=250[/tex]
250
2*5^3
5*5*5=125
2*125=250
Which statement describes Axum's economy?
Axum's economy was strong due to the rich resources of the surrounding deserts
Axum had a weak economy because Axum had conquered the Kingdom of Kush
Axum's economy was strengthened by connections withyhe Roman Empire and Asia
Axum had a weak economy because Axum did not have access to water
Answer:
Its C on Edg2020
Step-by-step explanation:
Find the mean of the following data set.
42, 45, 58, 63
52
42
47
Answer:
~49.9
Step-by-step explanation:
To get the mean, we must add all the numbers then divide by the amount of numbers there were.
42 + 45 + 58 + 63 + 52 + 42 + 47 = 349
Since we have 7 numbers we can do
349/7 ~ 49.9
Answer: 49.8 (50 if rounded to the nearest ones place)
Step-by-step explanation: First, let's put the number from greatest to least...and we also have to add all the numbers...
42 + 42 + 45 + 47 + 52 + 58 + 63 = 349
Lastly, we have to divide the total by how many numbers there are on the data set...there's 7
349 ÷ 7 = 49.8 (50 if rounded to the nearest ones place)
Therefore, the mean is 49.8 or 50, I hope this helps!
PLZ ANSWER ASAP!!!!!!!!!!
Answer:
Step-by-step explanation:
For the first statement, we need to find the percentages of sold hats. The percentage of white hats sold was (120/200) * 100 = 60% and the percentage of black hats sold was (210/300) * 100 = 70%. The first statement is "The musical group sold 60% of the white hats and 70% of the black hats."
The second statement asks us to compare the 2 percentages, and since 70% > 60%, the statement would be "A greater percentage of black hats were sold." Hope this helps!
What is the factored form of x2 - 4x – 5?
^
(x + 5)(x - 1)
(x + 5)(x + 1)
(x - 5)(x - 1)
(x - 5)(x + 1)
Answer:
(x - 5)(x + 1)
Step-by-step explanation:
[tex] {x}^{2} - 4x - 5 \\ = {x}^{2} - 5x + x - 5 \\ = x(x - 5) + 1(x - 5) \\ = (x - 5)(x + 1) \\ [/tex]
Answer:
I think that the answer is D
PLEASE HELP
What effect will a 90-degree clockwise rotation have on the triangle? Be sure to address how it could impact the angles, side lengths, and any congruency
between the original pre-image and the image.
Answer:
The angles and lengths should not change at all the image and pre-image should be the same just at a different place on the graph
Pls help. im have such a bad day.
Solve.
2x + 1 = 3x – 4
A.x = 1
B.x = 5
C.x = –5
D.x = –1
Answer:
b
Step-by-step explanation:
The graph shows the number of students who earned a score in math. Find the domain.
A) 10 < x < 100
B) {0, 5, 10, 15, 20, 25}
C) 0 ≤ x ≤ 24
D) {10, 20, 30, 40, 50, 60, 70, 80, 90, 100}
Answer:
d
Step-by-step explanation:
The domain of a graph is the possible input values the graph can take.
The domain of the graph is: [tex]\{10, 20, 30, 40, 50, 60, 70, 80, 90, 100\}[/tex]
The score (on the x-axis) represents the input values.
From the graph, we have:
Minimum score = 10Maximum score = 100This means that the domain of the graph is from 10 to 100
From the given options, (d) is correct;
Because it represents scores between 10 and 100 (inclusive)
Read more about domains at:
https://brainly.com/question/16875632
The cylinder and the sphere below have the same radius and the same volume. What is the height of the cylinder?
Answer:
Height of cylinder (h) = (4/3)R
Step-by-step explanation:
Given:
Radius of cylinder (r1) = R
Height of cylinder (h) = H
Radius of sphere (r2) = R
Volume of cylinder = volume of sphere
Find:
Height of cylinder (h) = H = ?
Computation:
[tex]Volume\ of\ cylinder = volume\ of\ sphere\\\\ \pi (r1)^2h =\frac{4}{3} \pi (r2)^3\\\\\pi (R)^2h =\frac{4}{3} \pi (R)^3\\\\ h=\frac{4}{3} (R)[/tex]
Height of cylinder (h) = (4/3)R
PLEASE HELP URGENT
Suppose that the functions r and s are defined for all real numbers x as follows.
r(x) = x + 5
s(x) = 3x + 1
Write the expressions for (r * s)(x) and (r + s)(x) and (r - s)(4) evaluate .
Answer:r*s = 168
Step-by-step explanation: (2x-1)(6x) = 12 x^2 - 6x
r(s(x)) = 2 (6x) - 1 = 12 x - 1
r(x) - s(x) = (2x-1) - 6x = -4x -1
r(x) = s(x) when 2x-1 = 6x or x = -1/4
r(4) = s(4) never
(r*s)(4) = 12 x^2 - 6 x = 12*16 - 24 =168
Can u help me with this pls
Answer: Angle B= 31.6
Step-by-step explanation:
Use SOH CAH TOA
TanB=14.1/22.9
In a football drill, Ron is standing 30 yards directly east of John, and Bill is standing 40 yards directly north of John. If the football is thrown from Ron to Bill and then from Bill to John, how many yards did the football travel?
Answer:
D, 90
Step-by-step explanation:
See image below.
To find the distance from Bill to Ron, we will use the Pythagorean Theorem, which is a^2+b^2=c^2.
(a and b being the legs of the triangle, they form the 90 degree angle. c=hypotenuse, or the side that is opposite from the 90 degree angle)
In this example, a=30 and b=40.
30^2+40^2=c^2
900+1600=c^2
2500=c^2
c=50.
Then, to find the yards thrown, we will add the distance from Ron to Bill and the distance from Bill to John. This can be written as 50+40, which equals 90 yards.
Here is an inequality: -2x>10.
1. List some values for x that would make this inequality true
2. How are the solutions to the inequality -2x≥10 different from the solutions to -x>10?
3. Explain your reasoning
Answer:
1)Any negative number above -5
2)it wouldn’t make sense since it’s a negative number unless you replace the dividend
Step-by-step explanation:
which is a solution to the systen of equations. x+3y=18. x+2y=14 A) 6,4 B) 4,6 C) 6,-4 D) -4,6
Step-by-step explanation:
• Elimination (find y) :
x + 3y = 18
x + 2y = 14 _
y = 4
• Substitute y = 4 to one equation :
x + 3y = 18
x + 3(4) = 18
x + 12 = 18
x = 18 - 12
x = 6
• The set of equations :
{x, y} = {6, 4}
So, the solution to that system equation is 6, 4 (A)
can someone help me please
One friend solves
7(x + 4) = 49 by dividing each side
by 7 and then subtracting 4 from
each side. Another friend solves it by
first distributing the 7 on the left side
of the equation, then subtracting 28
from each side, and finally dividing
each side by 7. Which friend uses the
correct method? Explain.
Answer:
the second friend
Step-by-step explanation:
Answer:
both methods are correct
Step-by-step explanation:
Given
7(x + 4) = 49 ( divide both sides by 7 )
x + 4 = 7 ( subtract 4 from both sides )
x = 3
---------------------------------------------------------
Given
7(x + 4) = 49 ← distribute parenthesis by 7
7x + 28 = 49 ( subtract 28 from both sides )
7x = 21 ( divide both sides by 7 )
x = 3
As shown both methods are equally valid
Jack works at a local warehouse unloading boxes of material from trucks and then stacking them for distribution from the warehouse. Each box he unloads weighs 65 pounds. Each stack of boxes cannot exceed a total of 800 pounds. How many boxes can be in a stack?
Answer:
12 boxes
Step-by-step explanation:
800/65=12.307, since this is not a whole number, and the limit cannot exceed 800 pounds in a stack, you must round down to 12
A shop has the following offers
fig rolls(125g packet) normal price £1.34 buy one get 2nd half price crisps
(175g packet) normal price £1.59 three for the price of two
Work out the total price for 4 packets of fig rolls and 9 packets of crisps
CAN YOU PLEASE HELP ME !!!!!!!!!!!!!
Answer:
£13.56
Step-by-step explanation:
Fig rolls:
If you buy 4 you get 2 half price.
So, 1.34/2=0.67
So, (1.34*2)+(0.67*2)=£4.02
Crisps:
If you buy 9 crisps you get 9 for the price of 6.
So, 1.59*6=£9.54
Total:
£4.02+£9.54=£13.56
Solve the equation.
9x + 5 = 113
8
12
14
15
Answer:
x=12
Step-by-step explanation:
9x+5=113 then subtract 5 from both sides
then you get 9x=108 then divide both sides by 9 to get x=12
Answer:
x = 12
Step-by-step explanation:
9x + 5 = 113
Subtract 5 from each side
9x + 5-5 = 113-5
9x = 108
Divide each side by 9
9x/9 = 108/9
x = 12
An object in a simulation accelerates from rest to a speed of 4 meters per second in 2 seconds. It then accelerates linearly for the next 3
seconds until it reaches 10 meters per second. The object remains at that speed (acceleration = 0) for 3 seconds and then de-accelerates
linearly until it comes to rest 2 seconds later. Which graph demonstrates the speed of the object for those 10 seconds?
Answer:
Distance time graph by me
Answer:
Distance time graph is how to solve
Step-by-step explanation:
Can someone help me with this
Answer:
Step-by-step explanation:(-1.5,3) and (0,3)
Fill in the table. To obtain each planet's distance from the sun and orbital period, click its name
Answer:
ya welcome
Step-by-step explanation:
Mercury - 0.39 and 0.242
Venus - 0.72 and 0.616
Earth - 1 and 1
Mars - 1.52 and 1.88
Uranus - 19.18 and 84.0
Neptune - 30.06 and 165
The distance between Mercury, Venus, Earth, Mars, Uranus, and Neptune from the sun is 0.39, 0.72, 1, 1.52, 19.18, and 30.06 respectively.
What is the distance?It is the measure of length between the two points is called distance.
The distance between each planet from the sun will be given as
Mercury - 0.39 and 0.242
Venus - 0.72 and 0.616
Earth - 1 and 1
Mars - 1.52 and 1.88
Uranus - 19.18 and 84.00
Neptune - 30.06 and 165.00
More about the distance link is given below.
https://brainly.com/question/26711747