Answer:
I guess that we want to find the equation for each case.
First, let's define the translations:
Horizontal translation.
For a function f(x), an horizontal translation of N units is written as:
g(x) = f(x + N)
if N > 0, the translation is to the left
if N < 0, the translation is to the right.
Vertical translation:
For a function f(x), a vertical translation of N units is written as:
g(x) = f(x) + N
if N > 0, the translation is upwards
if N < 0, the translation is downwards.
Now that we know these, we can find the equations for each case:
1. the graph of y = x² is moved five units upward
the graph is given by a vertical translation of 5 units upward.
y = x^2 + 5
2 the graph of y = 5x² is moved six units to the left
this is:
y = 5*(x + 6)^2
3: the graph of y = -2x² is moved seven units downward
this is:
y = -2x^2 - 7
4: the graph of y = -x² is moved two units to the left and four units downward
now we have two translations, first 4 units to the left and then 4 units downwards, this gives:
y = -(x + 4)^2 - 4
5: the graph of y = -3x² is moved two units to the right
Remember that to move the graph to the right, we need to have N negative, then:
y = -3(x - 2)^2
Instructions: Find the missing side of the triangle.
12
16
X
х
=
Answer:
x = 20
Step-by-step explanation:
c^2 = a^2 + b^2
a = 12
b = 16
c = ?
c^2 = 12^2 + 16^2
c^2 = 144 + 256
c^2 = 400
sqrt(c^2) = sqrt(400)
c = 20
What is the behavior of the graph y=2x3+x2−7x−6 at each of its zeros
At the given zeros of the function (-1.5, -1, and 2), the graph will behave like a sine curve, cutting the x-axis at three points.
The given polynomial expression:
y = 2x³ + x² - 7x - 6
The zeros of a polynomial equation are the values of x at which the given function equals zero.
The first zero of the given function is at x = 2;
f(2) = 2(2)³ + (2)² - 7(2) - 6
= 16 + 4 - 14 - 6
= 20 - 20 = 0
The second zero of the given function is at x = -1;
f(-1) = 2(-1)³ + (-1)² - 7(-1) - 6
= -2 + 1 + 7 - 6
= - 8 + 8 = 0
The third zero of the given function is at x = -1.5;
f(-1.5) = 2(-1.5)³ + (-1.5)² - 7(-1.5) - 6
= - 6.75 + 2.25 + 10.5 - 6
= - 12.75 + 12.75 = 0
The zeros of the given function include;
----(-1.5)-------(-1)------------------------------(2)--------
Therefore, at the given zeros of the function (-1.5, -1, and 2), the graph will behave like a sine curve, cutting the x-axis at three points.
To learn more about zeros of a function, please visit: https://brainly.com/question/12316127
Do these pairs of values (x and y) represent two quantities that are proportional?
X: 4, 6, 10, 14
Y: 2, 3, 5, 7
Answer:
No
Step-by-step explanation:
In a proportional relationship, it will be a straight line (it is here) that goes through the origin (it does not). It would not go through (0.0), but would go through (2, 0)
Given that squareroot 9.8 = 3.13 and squareroot 98 = 9.9 , then squareroot 98000=??
How they connected?
Answer:
see your answer in pic
mark me brainlist
Step-by-step explanation:
1. PLEASEE HELP!! Find the slant height of the cone
13 m
11 m
17 m
15 m
the difference of two numbers is 24.if the smaller number is 38,find the greater one
Answer:
62
Step-by-step explanation:
add 24 to the smaller number to get the greater one
Answer:
62
Step-by-step explanation:
let, the greater number be 'x' and smaller number be 'y'
x-y=24 i.e. x-38=24
or, X=24+38
X= 62
If you roll a number cube 96 times, how many times would you expect to roll a prime number?
We can expect to roll a prime number 48 times.
Theoretically, when you roll a number cube all the possible numbers have the same probability, 1/6.
We know that the numbers in a number cube are {1, 2, 3, 4, 5, 6}
Of these, the primes are: 2, 3, and 5.
So half of the outcomes of a number cube are primes.
This means that, in every single roll, the probability of getting a prime number is 1/2. (1/6 + 1/6 + 1/6 = 3/6 = 1/2)
Then for 96 rolls, we should expect to see in half of these a prime number as an outcome.
This means that we should expect to roll a prime number 96/2 = 48 times.
If you want to learn more about probability, you can read:
https://brainly.com/question/24316600
You should expect to roll a prime number 64 times.
To determine, if you roll a number cube 96 times, how many times would you expect to roll a prime number, the following calculation must be performed, knowing that the prime numbers are those that can only be divided by 1 or by themselves:
A cube has 6 sides. Therefore, the numbers in the cube will be 1, 2, 3, 4, 5 and 6. Of these numbers, only 4 and 6 are not prime, since 4 is divisible by 2 and 6 is divisible by 2 and 3.
Therefore, 4/6 numbers are prime, that is, 66.66% of the numbers in the cube.
Therefore, if you roll a number cube 96 times, since 96 x 4/6 equals 64, you should expect to roll a prime number 64 times.
Learn more in https://brainly.com/question/23715861.
Find the area of the following composite figure. Assume angles that look like they are a right angle are
right angles.
14 in
14 in
Q
Leave your answer in terms of . For example your answer might to 98 + 107.
square inches
NOTE: Figures are NOT to scale.
Answer:
7π + 7π + 196 ( could also be 14π + 196)
Step-by-step explanation:
14 is the length of the square. However it is also the diameter of the circle.
If you do diameter x π you will get the circumfrance. Which in this case is 14π. If your trying to find half of the circumfrance you would do 14π ÷ 2 which is 7π.
After finding 7π for one half a circle you do the same for the other and also get 7π
After finding the 2 half circles find the square which is 14 x 14 = 196
196 + 7π + 7π if you don't want bother pi's there it could also be seen as 196+ 14 π
Art class has 444 tables. There are 999 pencils at each table.
Ava multiplied 4\times94×94, times, 9 to find the total number of pencils.
Finn multiplied 9\times49×49, times, 4 to find the total number of pencils.
Who is correct?
Choose 1 answer:
Answer:
Both Ava and Finn are correct
Step-by-step explanation:
There are 4 tables and 9 pencils at each table
4 ( 9) = 36
9 * 4 = 36
Both Ava and Finn are correct
8³ x 2⁷= •••
a.4¹⁶
b.2¹⁶
c.4⁸
d.2⁸
Answer: B:2^16
Step-by-step explanation:2^16=65536 and 8^3 x 2^7 = 65536
[tex]\boxed{\huge\text{Hey there!}}[/tex]
[tex]\huge\boxed{\mathsf{8^3 \times 2^7= \boxed{?}}}[/tex]
[tex]\huge\boxed{8^3}\\\huge\boxed{= 8\times8\times8}\\\huge\boxed{= 64 \times8}\\\huge\boxed{= \bf 512}[/tex]
[tex]\huge\boxed{2^7}\\\huge\boxed{= 2\times2\times2\times2\times2\times2\times2}\\\huge\boxed{= 4\times4\times4\times2}\\\huge\boxed{= 16\times8}\\\huge\boxed{= \bf 128}[/tex]
[tex]\huge\boxed{512 \times 128}\\\huge\boxed{= \bf 65,536}[/tex]
[tex]\huge\boxed{\textsf{ORIGINAL answer: \bf 65,536} \mathsf{\ and\ the}}\\\huge\boxed{\mathsf{EXPONENTIAL \ answer: \bf 2^{\mathsf{\bf 16}}}}\huge\checkmark[/tex]
[tex]\huge\boxed{\mathsf{Therefore, your\ answer \ is: Option\ B. 2^{16}}}\huge\checkmark[/tex]
[tex]\huge\boxed{\textsf{Good luck on your assignment \& enjoy your day!}}[/tex]
~[tex]\huge\boxed{\frak{Amphitrite1040:)}}[/tex]
Name three collinear points.
Answer: l,j,k
Step-by-step explanation:
If SP = Rs 100 and CP = Rs 800 find profit %.
Answer:
c
Step-by-step explanation:
please solve this ASAP. I need this done but I can't figure it out
Answer:
x = 61
Step-by-step explanation:
Supplementary angles add up to 180 degrees. We can create an equation and solve for x.
(2x + 6) + (x - 9)= 180
~Combine like terms
3x - 3 = 180
~Add 3 to both sides
3x = 183
~Divide 3 to both sides
x = 61
Best of Luck!
Rational number between 1/3 and 1/9
Answer:
2/9
Step-by-step explanation:
LCM of 3 and 9 = 9
[tex]\dfrac{1}{3}=\dfrac{1*3}{3*3}=\dfrac{3}{9}\\\\\\Rational \ number \ between \dfrac{1}{9} \ and \dfrac{3}{9} \ is \dfrac{2}{9}[/tex]
HURRY PLEASE
1 To join the school swim team, swimmers must be able to swim at least 500 yards without stopping. Let n represent the number of yards a swimmer can swim without stopping. Write an inequality describing which values of n will result in a swimmer making the team.
Answer:
n = ≥500
Step-by-step explanation:
They must be able to swim 500 yards or more.
Can u help solve this
Answer:
2
Step-by-step explanation:
slope = rise/run
rise = difference in y
run = difference in x
slope = (8 - 2)/(3 - 0)
slope = 6/3
slope = 2
Hi guys. Please help me here. The math problem is kinda tricky.
Thank you to anyone who tried:)
Answer:
12jjmhhxkuyrgtjwkso9xbhvsiy5xbgueyr3gskzhxo
The perimeter of a rectangular park is 300 feet. The length of the park is 10 feet longer than the width.
Find the length of the park.
What is the length of the park?
feet=?
Answer:
80 ft
Step-by-step explanation:
width = w
length = w+10
Perimeter of a rectangle
P = 2(l+w)
300 = 2(w+10+w)
300 = 2(2w+10)
Divide by 2
300/2 = 2/2(2w+10)
150 = 2w+10
Subtract 10
150-10 = 2w+10-10
140 = 2w
Divide by 2
140/2 = 2w/2
70 = w
l = w+10
l = 70+10
w = 80
Find a recursive rule for the nth term of the sequence.
-7, -42, -252, -1512, ...
Answer:
-7*6^n
Step-by-step explanation:
The sequence is -7*6^n.
A few examples of this are the following,
ex.)
-7*6^0 = -7
-7*6^1 = -42
-7*6^2 = -252
How do I solve problems like this? I did it last year, but I don't remember how to do it.
Solve for x:
1/2x + 3 = 7
2x + 3 - 4x - 7 = 11
thanks!!
Answer:
8
Step-by-step explanation:
I do not know the details of the work but if it's a simple "Solve for x" question, you're not quite right.
1/2x+3=7
1/2x= 4
x= 8
Which of the following terms describes the measure indicated by the black
arrow below?
A. Mean
B. Minimum
C. Range
D. Median
Answer:
mean
Step-by-step explanation:
The mean is the center of a normal distribution
- 100
-V4
L.A.1
ints
3. What is the simplest form of
a. -51
b. 25i
c. -251
d. 5i
Answer:
- 5i
Step-by-step explanation:
sqrt(-100) / -sqrt(4)
We know that sqrt(a) / sqrt(b) = sqrt(a/b)
- sqrt(-100/4)
- sqrt(-25)
We know that sqrt(ab) = sqrt(a) sqrt(b)
- sqrt(25) sqrt(-1)
We know sqrt(-1) = i
Taking the principle value of sqrt(25)
- 5i
1. Find(x) + g(x)
4 options to pick from
Hey can anyone help me with this question
Simplify. 2/ 28 thx :))
Answer:
1/14
Step-by-step explanation:
2/28÷2=1/14
Can somebody please help me?
Answer:
use Pisagor teorem
Step-by-step explanation:
The line which start on the edge and divided other side 64 and 36 be Y and we use Pisagor teorem so Y²=64*36...... y=8*6=48 .................(1)
use other triangle to find hipotenus 48²+36²=x² .... x= 60
help please i dont know how to do
Answer:
apples = 160
oranges = 100
Step-by-step explanation:
Let apples be x and oranges be y
so
x = 60+y
now he have
y = x + 20
y-20 = x
(60+y)/2 = y-20
60+y = 2y-40
60+y-2y = -40
or, 60-y = -40
or, 60+40 = y
or, y = 100
so, y = 100
now, x = 60+100
so, x = 160
Answer:
100 oranges
160 apples
Step-by-step explanation:
Initially let x = oranges, so apples = x + 60
He sells 1/2 the apples which is (x + 60)/2, then there are 20 more oranges than apples so x (the oranges) will = the remaining apples (x + 60)/2 plus 20 OR
x = (x + 60)/2 + 20 multiply each term by 2 to get rid of the denominator
2x = (x + 60) + 40
2x - x = 60 + 40
x = 60 + 40 = 100 oranges AND
x + 60 or 160 apples
Suppose that the function h is defined, for all real numbers, as follows.
Answer:
gsgdjdjchdvvdbdjzjsjsushsvvsvsvs I don't know
Answer:
see explanation
Step-by-step explanation:
h(- 3) with x = - 3, that is x ≠ 1 , then
h(- 3) = - [tex]\frac{1}{2}[/tex] (- 3) + 2 = [tex]\frac{3}{2}[/tex] + 2 = [tex]\frac{7}{2}[/tex]
h(1) with x = 1 , then
h(1) = 1
h(3) with x = 3, that is x ≠ 1 , then
h(3) = - [tex]\frac{1}{2}[/tex] (3) + 2 = - [tex]\frac{3}{2}[/tex] + 2 = [tex]\frac{1}{2}[/tex]
Graph the relation shown in the table. Is the relation a function? Why or why not? PLEASE HELP THANKYOU
Answer:
Yes, no verticle line passes through two graphed points
Step-by-step explanation:
A function is when 1 input only has 1 output. None of the inputs have different outputs. So, this is a function.
can uh help me in this
Answer:
Step-by-step explanation:
b) a² - 1 + b(b - 2a) = a² -1 + b*b - b*2a {distributive property}
=a² - 1 + b² - 2ab
= (a² - 2ab + b² ) - 1
= (a - b)² - 1² {use identity x²-y²= (x+ y)(x -y)}
= (a - b + 1)(a -b +1)
b) 15 +8y + y² - 2x - x² = (y² + 8y + 15) - x² - 2x
= (y² + 5y + 3y + 15) - x(x + 2)
= [ y(y + 5) + 3(y +5)] - x(x + 2)
= [(y + 5)(y+3) ] - x(x +2)
