Answer:
Here we have a problem with translations, where we define a translation as an operation that moves the graph of a function in a given direction.
We will see that the correct option is A.
"The graph of f is shifted 3 units up to create the graph of g."
To get this, we first need to describe vertical translations.
For a function f(x) we define a vertical translation (or vertical shift) of N units as:
g(x) = f(x) + N
If N is positive, the translation is upwards
if N is negative, the translation is downwards.
So here we have:
g(x) = f(x) + 3
So we can see that this is a translation of 3 units upwards, then the correct option is A, the graph of f(x) is shifted (or translated) 3 units up to greater the graph of g(x).
And the graphs of g(x) = x + 3 and f(x) = x can be seen below, where you can see this, where the grey line is g(x).
Step-by-step explanation:
Question within image.
1)a parallelogram is a quadrilateral with opposite sides being parallel so the lines AB must equal CD or otherwise it wouldn't be a parallelogram
2)for a quadrilateral to be proven to be a parallelogram the consecutive angles has to be supplementary which means they add up to 180 or for example you could slice the parallelogram in half down the middle you could piece the two consecutive angles together to make 180 degrees
HELP Given f(x) = 4x2 – 3x – 6, what is the value of f(-1)?
A. -7
B. 2
C. -5
D. 1
Answer:
D) 1
Step-by-step explanation:
Given f(x) = 4x² - 3x - 6
f(-1)=4(-1)² -3 (-1) -6
f(-1)= 4+3-6
f(-1)= 1
Hope it helps! :)
i need to understand ratio plz help
angle A and angle B are supplementary angles. Find m angle A and m angle B.
m angle A=(x+11) m angle B=(x-15)
The following table shows the length and width of a rectangle: Length Width Rectangle A 3x 5 2x − 3 Which expression is the result of the perimeter of rectangle A and demonstrates the closure property? 10x 4; the answer is a polynomial 2x 4; the answer is a polynomial 10x 4; the answer may or may not be a polynomial 2x 4; the answer may or may not be a polynomial.
Expression giving the result of the perimeter of rectangle A and demonstrating the closure property is given by: Option A: [tex]10x + 4[/tex] ; the answer is a polynomial
What is the closure property of a polynomial for addition operation?Closure property keeps the result in the same set.
If two polynomials [tex]f(x)[/tex] and [tex]g(x)[/tex] are there.
Then, [tex]f(x) + g(x) = h(x)[/tex]
where [tex]h(x)[/tex] is also a polynomial.
The result of the addition of two polynomials is also a polynomial. This property of polynomial for addition operation is called closure property of a polynomial for addition operation
For the given case, we have:
Length of the rectangle = [tex]3x + 5[/tex]Width of the rectangle = [tex]2x -3[/tex]Perimeter of a rectangle with width W and length L = 2(L + W)
And using that formula, the perimeter of the considered rectangle is evaluated as:
[tex]P = 2(3x + 5 + 2x - 3)\\P = 2((3+2)x + 2) = 2(5x + 2)\\\\P = 10x + 4[/tex]
Thus, expression giving the result of the perimeter of rectangle A and demonstrating the closure property is given by: Option A: [tex]10x + 4[/tex] ; the answer is a polynomial
Learn more about addition of polynomials here:
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Choose the correct range for each set of values. Set 1: 48, 47, 34, 37, 11, 39 Range = Set 2: 42, 47, 44, 40, 41, 49, 48, 45, 43 Range = Set 3: 85, 98, 31, 96, 49, 77, 82 Range = Set 4: 112, 114, 116, 175, 115, 134, 117 Range =.
Range is one of the important description of a data set. The range of the given data sets is given as:
Range of set 1 is 37Range of set 2 is 9Range of set 3 is 65Range of set 4 is 63How to find the range of a set of data values?Range = Maximum value of the data set - Minimum value of the data set.
For the given sets, we get their range as:
Set 1: 48, 47, 34, 37, 11, 39Maximum value = 48, minimum value = 11
Range of the data set = Maximum value - minimum value = 48-11 = 37
Set 2: 42, 47, 44, 40, 41, 49, 48, 45, 43Maximum value = 49, minimum value = 40
Range of the data set = Maximum value - minimum value = 49 - 40 = 9
Set 3: 85, 98, 31, 96, 49, 77, 82Maximum value = 96, minimum value = 31
Range of the data set = Maximum value - minimum value = 96-31=65
Set 4: 112, 114, 116, 175, 115, 134, 117Maximum value = 175, minimum value = 112
Range of the data set = Maximum value - minimum value = 175-112 = 63
Thus, the range of the given data sets is given as:
Range of set 1 is 37Range of set 2 is 9Range of set 3 is 65Range of set 4 is 63Learn more about range here:
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Ann purchased a DVD player on sale. The initial price was $175.90. The price after the discount was $150.75. What was the percent of decrease (discount rate)?
Answer:
14.29% decrease (actual : 14.2979%)
Find the value of x.
Answer:
x = 53
Step-by-step explanation:
The sum of the exterior angles of a convex polygon is always 360°.
x +x +59 +48 +50 +39 +58 = 360
2x +254 = 360 . . . . simplify
x +127 = 180 . . . . . . divide by 2
x = 53 . . . . . . . . . . . subtract 127
x=y-4, 2x-y=5. Please help me
By putting x = y-4 in the equation 2x-y = 5, we get;
=) 2(y-4) -y = 5
=) 2y - 8 - y = 5
=) 2y - y = 5 + 8
=) y = 13
Now, we got the value y = 13, so by putting it in the equation x = y-4, we get;
=) x = 13 - 4
=) x = 9
Therefore, x = 9 and y = 13
Answer:
the answer is (x,y) = (9,13)
Step-by-step explanation
6) the cost of a video game is $22.00
Sales tax is 6%
How much will the game cost, including tax
Answer:
$23.32
Step-by-step explanation:
-All of the following are phases (states) of matter EXCEPT:
Answer:
The states of matter are solid, liquid, gas, and plasma
Step-by-step explanation:
you didn't have any options so I'm just telling you them
Find the measure of x and y
Answer: maybe about 45 or 75 i dont know
Step-by-step explanation:
Tatiana reads 40 pages of her book every night for x number of nights. write and expression that repressents the number of pages eh read
Answer: 40x
Step-by-step explanation:
Titiana read 40 pages of her book every night for x number of nights, which means she read 40 pages every day. So 40 times x is how many pages she read in all.
HURRY PLS
Part 1:
Prove that the two triangles above are similar. Provide a proof using any method (two-column, flow-chart, or paragraph). For whichever method you choose, include the statements that lead you to the necessary conclusion, as well as corresponding reasons for each statement.
Part 2:
Find the measures of AC and AB all necessary calculations.
The condition of two congruent angles in each triangle, can be used to
show that the two triangles are similar.
Response:
Part 1: The two triangles are similar by AA similarity postulatePart 2: AC = 22.5 inches, AB = 30 inchesWhich condition of similarity makes the two triangles similar?Part 1:
A two column proof is presented as follows;
Statement [tex]{}[/tex] Reason
1. ∠D ≅ ∠A [tex]{}[/tex] 1. Given
2. ∠DCE ≅ ∠ACB [tex]{}[/tex] 2. Vertical angle theorem
3. ΔCDE ~ ΔCAB [tex]{}[/tex] 3. AA similarity postulate
Angle-Angle, AA, similarity postulate states that if two angles in one
triangle are congruent to two angles in a second triangles, then the two
triangles are similar.
Part 2:
From part 1, we have;
ΔCDE is similar to ΔCAB (ΔCDE ~ ΔCAB)
The ratio of corresponding sides of similar triangles are equal, which
gives;
[tex]\dfrac{\overline{CD}}{\overline{AC}} = \mathbf{\dfrac{\overline{CE}}{\overline{CB}}}[/tex]
Which gives;
[tex]\dfrac{12}{\overline{AC}} = \mathbf{\dfrac{8}{15}}[/tex]
[tex]\overline{AC}} = \dfrac{15}{8} \times 12 = \mathbf{22.5}[/tex]
AC = 22.5 inchesSimilarly, we have;
[tex]\dfrac{\overline{DE}}{\overline{AB}} = \mathbf{\dfrac{\overline{CE}}{\overline{CB}}}[/tex]
Which gives;
[tex]\dfrac{16}{\overline{AB}} = \dfrac{8}{15}[/tex]
[tex]{\overline{AB}} = \dfrac{15}{8} \times 16 = \mathbf{30}[/tex]
AB - 30 inchesLearn more about AA similarity postulate here:
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Please help! 15 Points.
1. Write the general term and pattern rule for the following pattern:
9, 6, 3, 0, -3
Then: Find the 15th, 25th, and 100th term values.
2. Write the general term and pattern rule for the following patterns: -7, -17, -27, -37, -47
Then: Find the 15th, 25th, and 100th term values.
Please help me with this! Thank you! Click on the photo for better view!
Answer:
In order: -5, 3, 5
Step-by-step explanation:
-5g + 15h - 25
-5 ( g - 3h + 5 )
Hopefully this helps!
Brainliest please?
Grandma baked 1.5 times as many pancakes as waffles. After she baked 45 more waffles, and her grandchildren ate 12 pancakes, there were 17 more waffles than pancakes. How many waffles were there initially?
PLS HELP YOU WILL GET BRAINLY!!!
Step-by-step explanation:
let x represent the no of pancakes,
she baked 1.5 times pancakes more than waffles,
so from this, no of pancakes = 1.5x,
then she baked more 45 waffles,
no of waffles = (x +45)
so you had 1.5x pancakes and the children ate 12 out of them. the no of pancakes has then been reduced by 12.
thus, no of pancakes = ( 1.5x -12 )
now they see that they have 17 more waffles that pancakes left. this means that :
no of waffles - no of pancakes = 17
(x+45) - (1.5x - 12) = 17
x - 1.5x + 45 + 12 = 17
x = -50 / -0.5
x = 100
hence, there were 100 waffles initially.
hope you understand this,
-s.
I need help with this question really quick!!!
Answer:
Np buddy its B. Hope u get a good grade
Any Suggestions on what to do here? I already restarted my PC twice, cleared my browsing data, and rebooted the wifi network....
Oh yea and whats 5 to the square root of 625
Answer:
Use a factor tree. For example, 625 = 5 x 125 = 5 x 5 x 25 = 5 x 5 x 5 x 5. Because there are 4 fives, and we are looking for the square root, (5 x 5) (5 x 5) = 625. Therefore the square root of 625 is 25.
How many degrees are there in the angle between the hour and minute hands of a clock is a quarter past two
The number of degrees there are in the angle between the hour and the minute hands of the described clock is; 30°
Angle measure on a wall clockThe conventional analogue wall clock is numbered 1 to 12.
On this note, there are 12 unit subdivisions on the clock.
Each unit subdivision covers angle measure;
360°/12 = 30°Since, at quarter past two; the hour arm of the clock is on 2 and the minute arm is on 3;
It follows that the degree measure of the angle subtended is; 30°.
Read more on degree measure;
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I need help on this other question sry if it is hard... here is the pic.
Answer:
142%
Step-by-step explanation:
i may be wrong but hopefully im not!!
Answer:
142%
Step-by-step explanation:
To change a fraction to a percentage, multiply it by 100%
1 [tex]\frac{21}{50}[/tex] ( change to an improper fraction )
= [tex]\frac{71}{50}[/tex] × 100% = 71 × 2 = 142%
Based on the information in this table, which equation can be used to model the relationship between x and y?
Question 6 options:
y = 5x + 2
y = 2x
y = 2x + 5
y = 5x
Take 2 points
(6,17)(7,19)Slope:-
[tex]\\ \tt\hookrightarrow m=\dfrac{19-17}{7-6}=2[/tex]
Equation in point slope form
[tex]\\ \tt\hookrightarrow y-17=2(x-6)[/tex]
[tex]\\ \tt\hookrightarrow y-17=2x-12[/tex]
[tex]\\ \tt\hookrightarrow y=2x+5[/tex]
10+s=-4 help yall asap this is mad hard
ANSWER = s = -14
Proof -14+10=s
Which figure represents an undefined term?
Answer:
I think the answer is D
Step-by-step explanation:
The last figure is representing an undefined term "line".
What is Ray?A ray is a segment of a line where one point is fixed and the other has no defined end. It denotes that a ray has one terminating end and an indefinitely long other end.
The first illustration depicts a ray with an end point at X, which is a phrase that is described as "a ray is a line with one end point."
The second graphic depicts a line segment with endpoints at X and Y. This phrase is described as "A line segment is a line with 2 end points."
The joint of two rays in the third illustration creates an angle, which is once again a defined phrase.
The final illustration depicts a line that is not defined and has no endpoints.
Learn more about Ray here:
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Anna is designing the plan of a kitchen using some computer aided design software. the coordinates of the corners of the room on screen are (0,10) (220,10) (0,260) (220,260). she needs to enter the coordinates of the ceiling light, which will be the exactly in the center of the room. what will the coordinates of the light be?
PLEASE HELP ME IF YOU CAN AS SOON AS POSSIBLE. THANK YOU
(220,10)
Step-by-step explanation:
This reminds me of when I was in middle school
Answer:
(110, 135)
Step-by-step explanation:
From the coordinates given, the shape of the ceiling is a rectangle.
Width = difference in x-coordinates = 220 - 0 = 220
Length = difference in y-coordinates = 260 - 10 = 250
To find the center of the ceiling, we need to find the centroid (center-point) of the rectangle.
x-coordinate = Half of the width + smallest x-coordinate= (220 ÷ 2) + 0 = 110
y-coordinate = Half of the length + smallest y-coordinate = (250 ÷ 2) + 10 = 135
Therefore, the center of the ceiling is at (110, 135)
5
How can you classify quadrilaterals? Explain using properties of sides and angles.
(Be sure to write at least 5 complete sentences)
Answer:
A quadrilateral is a polygon with four sides. A rectangle is a parallelogram with four right angles, so all rectangles are also parallelograms and quadrilaterals. A rhombus is a parallelogram with four congruent sides. A trapezoid is a quadrilateral with exactly one pair of parallel sides. A kite is a quadrilateral with exactly two pairs of adjacent congruent sides. And A scalene quadrilateral is a four-sided polygon that has no congruent sides. Three examples are shown below.
Step-by-step explanation:
I hope this helps, I also couldn't find a answer :D
Choose the expression that represents a quadratic expression. 6x4 − 5x3 3x2 −7x − 8 5x3 3x2 −7x − 8 2x2 3x − 1 3x − 1.
Answer:
2x^2+3x-13x-1
Step-by-step explanation:
Quadratic expressions are polynomial expressions in which the highest power of the variable is 2.
Looking at option A, the highest power of the variable in the polynomial is 4. Therefore, it is not a quadratic expression.
Looking at option B, the highest power of the variable in the polynomial is 3. Therefore, it is not a quadratic expression.
Looking at option C, the highest power of the variable in the polynomial is 2. Therefore, it is a quadratic expression.
Looking at option D, the highest power of the variable in the polynomial is 1. Therefore, it is not a quadratic expression.
Answer:
c
Step-by-step explanation:
its c bc i got it right on test
Order the numbers from least to greatest.
53.77
54
53.61
53.6
Answer:
53.6, 53.61, 53.77, 54
Step-by-step explanation:
That's the right order
help me help me can u help me
Find the slope of the line that passes through (2,-55) and (1,-22)
Answer:
y = -33x + 11.
Step-by-step explanation: