Drag the tiles to the boxes to form correct pairs. Not all tiles will be used.
Match each verbal description to its equivalent function rule as applied to the given function below.
f(x) = 7x + 5
Answers
Answer:
-The function f translated 2 units down and 3 units right. > g(x)=7x-18
-The function f stretched vertically by a factor of 3 and translated up by 2 units. > g(x)=21x+17
-The function f stretched vertically by a factor of 2 and translated down by 3 units. > g(x)=14x+7
-The function f reflected about the y-axis and translated 3 units left. >g(x)=-7x-16
Step-by-step explanation:
-A function is shifted up or down when a constant is added outside the function. If the constant is positive the function is shifted up. If the constant is negative, the function is shifted down.
-A function is shifted left or right when a constant is subtracted from the x-value inside the function. If the constant is positive, the function is shifted to the right. If the constant is negative, the function is shifted to the left.
-A function is vertically stretched or compressed when it is multiplied by a constant. If the constant is greater than one, it results in a vertical stretch. If the constant is in between zero and one, it results in a vertical compression.
-A function is reflected about the y-axis when the x-value is multiplied by a negative constant.
Answer:
The function f stretched vertically by a factor of 3 and translated up by 2 units.
g(x)=21x+17
The function f translated 2 units down and 3 units right.
g(x)=7x-18
The function f reflected about the y-axis and translated 3 units left.
g(x)=-7x-16
The function f stretched vertically by a factor of 2 and translated down by 3 units.
g(x)=14x+7
Step-by-step explanation:
Functions can be moved and re-sized by changing the parameters of the function.
A function is shifted up or down when a constant is added outside the function. If the constant is positive the function is shifted up. If the constant is negative, the function is shifted down.
A function is shifted left or right when a constant is subtracted from the x-value inside the function. If the constant is positive, the function is shifted to the right. If the constant is negative, the function is shifted to the left.
A function is vertically stretched or compressed when it is multiplied by a constant. If the constant is greater than one, it results in a vertical stretch. If the constant is in between zero and one, it results in a vertical compression.
A function is reflected about the y-axis when the x-value is multiplied by a negative constant.
Related Questions
Help me I need to get this right
Answers
Answer:
0.006 (decimal form) or 0.6% (percentage form)
Step-by-step explanation:
0.1(0.2)(0.3) = 0.006
PLEASEEEE I NEED IT ASAP 51 POINTS IS THE MAX I CAN GIVE PLEASEEEEE HELP ME
Answers
Answer:
A
Step-by-step explanation:
2(10+7)
2(17)
=34
Answer:
the answer is a
Step-by-step explanation:
10 times 2 plus 7 times 2=34
Solve using the substitution method:
6x + y =15
4x + 3y = 31
Answers
Answer:
the answers to this are x= 1 and y= 9
Find the sum of -3x^2-4x+3−3x 2−4x+3 and 2x^2-x+32x 2 −x+3.
Answers
Answer:
28x^2-10x+9
Step-by-step explanation:
28x^2-10x+9
someone please help me answer this!!
Answers
Answer:
10 units is the answer.
Step-by-step explanation:
points are (-3,2) and (-9,-6)
Pythagorean theorem can be written as,
[tex]d=\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2} \\\\d=\sqrt{(-9-(-3))^2 + (-6-2)^2}\\\\d=\sqrt{(-6)^2+(-8)^2} \\\\d=\sqrt{36+64} \\\\d=\sqrt{100} \\\\d=10[/tex]
∴ distance between the points = 10 units
Three more than four times the difference of x and 2 is 36
Answers
Answer:
3+4 (x - 2) =36 x= 10.25
Step-by-step explanation:
pls help 10 ptssssssss
Answers
Answer:
I think its 56
Step-by-step explanation:
Variable= Multiplication
The Variable is p so we replace p with 8.
7x8=56
What is the length of the altitude of the equilateral triangle below?
30
6V3
63
60" 90
60"
Зүз
33
О
А. 81
В. 9
ОО
С. 33
D. 08
ОО
Е. З
о
E. 93
Answers
Answer:
its 63.
Step-by-step explanation:
The length of the altitude of the equilateral triangle is a√3/4 units.
What is a triangle?A triangle is a two - dimensional figure with three sides and three angles.The sum of the angles of the triangle is equal to 180 degrees.∠A + ∠B + ∠C = 180°Given is to find the length of the altitude of the equilateral triangle.
An equilateral triangle is a triangle whose all sides are equal. All the angles of a given equilateral triangle are 60 degrees.
The length of the altitude of the equilateral triangle can be found out using the Pythagoras theorem.
Draw a median from one vertex on the opposite side to that vertex and apply Pythagoras theorem to one of the right triangle.
We can find the length of the altitude to be -
L = a√3/4
Therefore, the length of the altitude of the equilateral triangle is a√3/4 units.
To solve more questions on triangles, visit the link-
https://brainly.com/question/2773823
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izllllllllllllllllllll
Answers
Answer:
32 :P
Step-by-step explanation:
10x2 is 20, 6x2 is 12, and 12+20=32
HURRY! What is the circumference of the circle below? Use 3.14 for π.
Answers
Answer:
2.14 divided by 5 x 2 is the ansewer
Step-by-step explanation:
2) Find AC
C
12° 15°
70
B
А
Answers
The amount of water that fits in a fish tank represents the _______________ of the fish tank.
Answers
Answer:
Volume
Step-by-step explanation:
The amount of water that fits in a fish tank represents the Volume of the fish tank.
When you pour water, it occupies the space and the weight of the tank increases. So, it represent the volume
Hey y’all answers in the picture ABC or D. Plz help
Answers
Answer:
D
Step-by-step explanation:
Lets use the the chart. The (5,9) if the 5 was doubled that it would equal to 10. Now you subract 1 from it making it 9.
One half of a number , n is at most 24
Answers
Answer:
So if N is 24, then the number is 12.
Step-by-step explanation:
24 / 2 = 12
The heights, in inches, of five players on a basketball
team are 68, 70, 76, 71, and 70. What is the mean
height, in inches, of these players?
A)76
B)72
C)71
D)70
Answers
Answer:
C) 71
Step-by-step explanation:
To find the mean you must first add all the numbers:
68 + 70 + 76 + 71 + 70 = 355.
After that you divide the number you got by how many numbers are in the set.
There are five players so we divide the number by 5
355/5 = 71
Therefore, it is 71.
Jack and Carl share a 30-ounce bucket of clay. By the end of the week, Jack has used 1/10 of the bucket, and Carl has used 2/5 of the bucket of clay. How many ounces are left in the bucket?
Answers
Answer:
15
Step-by-step explanation:
Since we're working with fractions, and the thirty ounce bucket is equivalent to 30/30. In order to make this easier, let's use the denominator of 30 for all of the fractions. Now that we've made them all equal, turning 1/10 to 3/30, and 2/5 to 12/30, let's add. 12 + 3 is 15, and 15/30 is half of 30/30. There was 15 ounces, or 1/2 of the tub, left.
Determine whether the equation represents direct, joint, or inverse variation. Then identify the constant.
t = 100/s
y/5 = x
p/qr = 4
C = 2πr
V = 1/3πr^2h
xy = 2/5
Answers
1) A store sells small and large TV sets in the ratio 2:3. The total stock is 70
sets.1) How many small and large sets are in stock? 2)If the number of large
sets is increased by 8,what is the new ratio of small to big*
Answers
Answer:
(a)
[tex]Small = 28[/tex]
[tex]Large = 42[/tex]
(b)
[tex]Ratio = 14 : 25[/tex]
Step-by-step explanation:
Given
[tex]L = Large\\ S = Small[/tex]
[tex]S : L = 2 : 3[/tex]
[tex]Total = 70[/tex]
Solving (a): Number of each set.
The small set is calculated as:
[tex]Small = \frac{S}{S + T} * Total[/tex]
[tex]Small = \frac{2}{2+3} * 70[/tex]
[tex]Small = \frac{2}{5} * 70[/tex]
[tex]Small = 0.4 * 70[/tex]
[tex]Small = 28[/tex]
Using complement rule.
[tex]Large = Total - Small[/tex]
[tex]Large = 70 - 28[/tex]
[tex]Large = 42[/tex]
Solving (b): Increase large by 8.
The ratio is then calculated as:
[tex]Ratio = Small : Large + 8[/tex]
[tex]Ratio = 28 : 42 + 8[/tex]
[tex]Ratio = 28 : 50[/tex]
Divide by 2
[tex]Ratio = 14 : 25[/tex]
What is 4.9 subtract 0.6
Answers
Answer: 4.3
Step-by-step explanation:
4.9-.6=4.3
In Exercises 1-4, the sample size n, probability of success p, and probability of
failure q are given for a binomial experiment. Determine whether you can use a
normal distribution to approximate the distribution of x.
1. n = 24, p = 0.85, 9 = 0.15
2. n = 15, p = 0.70, q = 0.30
3. n = 18, p = 0.90, q = 0.10
4. n = 20, p = 0.65, q = 0.35
Answers
Answer:
1. No
2. No
3. No
4. Yes
Step-by-step explanation:
Binomial approximation to normal.
The binomial probability distribution has parameters n, p and q.
If
[tex]np \geq 5[/tex] and [tex]nq \geq 5[/tex], you can use the normal approximation.
1. n = 24, p = 0.85, q = 0.15
[tex]np = 24*0.85 = 20.4 > 5[/tex]
[tex]nq = 24*0.15 = 3.6 < 5[/tex]
So no.
2. n = 15, p = 0.70, q = 0.30
[tex]np = 15*0.7 = 10.5 > 5[/tex]
[tex]nq = 15*0.3 = 4.5 < 5[/tex]
So no.
3. n = 18, p = 0.90, q = 0.10
[tex]np = 18*0.9 = 16.2 > 5[/tex]
[tex]nq = 18*0.1 = 1.8 < 5[/tex]
No
4. n = 20, p = 0.65, q = 0.35
[tex]np = 20*0.65 = 13 > 5[/tex]
[tex]nq = 20*0.35 = 7 > 5[/tex]
Yes
Find the sum of the first 36 terms of the following series, to the nearest integer. 9,12,15
Answers
Answer:
3885
Step-by-step explanation:
The sum of the first 35 terms will be 3885.
What is an arithmetic progression?The sequence in which every next number is the addition of the constant quantity in the series is termed as the arithmetic progression.
A number series is a number-based sequence. In the number series questions, we must identify the rules that lead to the formation of a number series.
Given that the series is 9, 15, 21, ..., The 35th term of the sequence will be calculated as,
Sn = n /2 [ ( 2a + ( n - 1 ) d]
Sn = 35 / 2 [ ( 2 x 9 + ( 35 - 1 ) 6)]
Sn = 35 /2 { 18 + ( 34 x 6 ) ]
Sn = 35 / 2 x 222
Sn = 3885
Hence, the sum of the 35 terms of the series will be 3885.
To know more about an arithmetic progression follow
brainly.com/question/24295771
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Write an equation to represent the following description. Seventeen more than eight times a number is −6.
Answers
(you can use a different variable to replace x if you need to :D)
What are the polar coordinates of the rectangular coordinates (2, -2√3)?
A. (4, 11π/6)
B. (4, 5π/3)
C. (2, 5π/3)
D. (2, 11π/6)
Answers
9514 1404 393
Answer:
B. (4, 5π/3)
Step-by-step explanation:
If you sketch the location of the point, you find the coordinates correspond to the side lengths of a 30°-60°-90° "special" triangle. The reference angle is 60°, or π/3 radians, and the magnitude of the vector is twice the short dimension, so is 2×2 = 4.
The polar coordinates are (4, 5π/3).
The chair of the operations management department at Quality University wants to construct a p-chart for determining whether the four faculty teaching the basic P/OM course are in control with regard to the number of students who fail the course. Accordingly, he sampled 100 final grades from last year for each instructor, with the following results? What is the estimate of the mean proportion of failures for these instructors?
INSTRUCTOR NUMBER OF FAILURES
Prof. A 13
Prof. B 0
Prof. C 11
Prof. D 16
Answers
Answer:
D. 16
Step-by-step explanation:
A quality analyst wants to construct a control chart for determining whether three machines, all producing the same product, are under control with regard to a particular quality variable. Accordingly, he sampled four units of output from each machine, with the following results:
MACHINE MEASUREMENTS
#1 17 15 15 17
#2 16 25 18 25
#3 23 24 23 22
Help please I’ll give extra points
Answers
Answer:
The perimeter of the resulting image is 13 centimeters
Step-by-step explanation:
we know that
Rotation, reflection, and translation are transformations that do not produce changes in the dimensions of the figure, while dilation is a transformation that does affect the dimensions of the figure.
In this problem, we have rotation and reflection
therefore
The perimeter of the resulting figure is the same as the original figure
Mr. Thorbes bought a new journal for his poetry. If the journal normally cost $22 but was on sale for 20% off, how much did Mr. Thorbes save?
Answers
Answer:
He would save $4.40
Step-by-step explanation:
And in total he would pay 17.60
Kevin wants to hike the Pacific Crest Trail, which is 2,653 miles long. If Kevin wants to
finish the hike in 7 months, how many miles should he hike each month?
miles
Answers
Answer:
378
Step-by-step explanation:
2,653 divided by 7
Consider the following statement. ∀a ∈ Z, (a − 1) a is not an integer. (a) Select the correct negation for this statement. For every integer a, a − 1 a is an integer. There is an integer a such that a − 1 a is not an integer. For every integer a, a − 1 a is not an integer. There is an integer a such that a − 1 a is an integer. (b) Is the given statement true or false? If the statement is true, enter TRUE; if the statement is false, enter a value of a that could be used as part of a counterexample that justifies its falseness.
Answers
Answer:
a) There is an integer a such that [tex]\frac{a-1}{a}[/tex] is an integer
b) False
Step-by-step explanation:
Statement : ∀a ∈ Z, (a − 1) a is not an integer
A) The correct negation will be :
There is an integer a such that [tex]\frac{a-1}{a}[/tex] is an integer
B) The Given statement is FALSE because
when we assume the value of a = 1
( a - 1 ) / a = (1 - 1 ) / 1 = 0 ; which is an integer
PLS HELP
Rusty has a cap collection. He has 5 shelves with 7 football team caps on each shelf. He has 3 shelves with 13 baseball caps on each shelf. He gives his best friend 5 football caps and 2 baseball caps.
How many caps, c, does Rusty have now?
Rusty has a total of ___ caps.
Answers
hope this helps today buddy
Answer:
19
Step-by-step explanation:
I’ll give points + brainslist, if you don’t know don’t bother answering (: