. Graph f(x) = 6x + 2 and g(x) = 6x - 4. Then describe the transformation from the graph of f(x) to the graph of g(x). у 6. 5. 4. 3. 2 . 0 1 A -3 -2 -1 3 2 -i - 5 4 5 6 -3 ### 5. -6
Answer:
.Graph f(x) = 6x + 2 and g(x) = 6x - 4. Then describe the transformation from the graph of f(x) to the graph of g(x). у 6. 5. 4. 3. 2 . 0 1 A -3 -2 -1 3 2 -i - 5 4 5 6 -3 ### 5. -6
Step-by-step explanation:
.Graph f(x) = 6x + 2 and g(x) = 6x - 4. Then describe the transformation from the graph of f(x) to the graph of g(x). у 6. 5. 4. 3. 2 . 0 1 A -3 -2 -1 3 2 -i - 5 4 5 6 -3 ### 5. -6
The transformation from the graph of f(x) to the graph of g(x) is a vertical shift down by 6 units
The functions are given as:
[tex]f(x) = 6x + 2[/tex]
[tex]g(x) = 6x - 4[/tex]
Subtract function f(x) from g(x),
[tex]k = g(x) - f(x)[/tex]
This gives
[tex]k = 6x - 4 - 6x - 2[/tex]
Collect like terms
[tex]k = 6x- 6x - 4 - 2[/tex]
[tex]k = -6[/tex]
The above represents the unit of translation of function f(x) to g(x).
Hence, the transformation from the graph of f(x) to the graph of g(x) is a vertical shift down by 6 units
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A recipe calls for ½ cup of flour to make 8 servings. How many cups of flour are needed to make 20 servings?
Answer:
20/8 = 2.5
1/2+1/2+1/2=
1 1/2
Step-by-step explanation:
Ur welcome:)
Rectangle LMNO is rotated 90° clockwise around the origin to create rectangle L'M'N'O'. Which statement would best describe the relationship between points N and N'? They are equidistant from origin. They are midpoints of segment ON and segment O prime N prime. They are equidistant from point O. They are midpoints of segment LN and segment L prime N prime.
Answer:
A. They are equidistant from origin.
The correct statement for the relationship between points N and N' is,
⇒ They are equidistant from origin.
What is Translation?A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.
Given that;
Rectangle LMNO is rotated 90° clockwise around the origin to create rectangle L'M'N'O'.
Now,
Since, Rectangle LMNO is rotated 90° clockwise around the origin to create rectangle L'M'N'O'.
Hence, We know that;
After rotation of 90° clockwise around the origin the shape are equidistance from the origin.
Thus, The relationship between points N and N' is,
⇒ They are equidistant from origin.
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The points (5, n) and (4, -4) fall on a line with a slope of 7. What is the value of n?
n =
Submit
Work it out
Answer:
Step-by-step explanation:
The slope of a line can be calculated:
[tex]m = \frac{y_2-y_1}{x_2-x_1}\\[/tex]
We know that the slope is 7, so we want to solve for [tex]y_2[/tex]
[tex]\frac{n-(-4)}{5-4} = 7\\\frac{n+4}{1} = 7\\n+4 = 7\\n = 3[/tex]
Martin correctly answered 90% of the questions on a math test that contained exactly 40 questions. How many of the questions did he answer incorrectly? explain
A) 4
B) 10
C) 44
D) 90
Answer:
A. 4
Step-by-step explanation:
90% of 40 is = 36
40 - 36 = 4
Since he got 36 right out of 40, he got 4 wrong.
WILL GIVE BRAINLIST!!!!! Select the correct answer. Which graph represents this function? f (x) = 1/2x -5 A. B. C. D.
Answer:
B
Step-by-step explanation:
The y-int. is -5 like the equation and the slope is positive
I NEED HELL LIKE RIGHT NOW !!!
Which equation represents the graph?
Answer:
ummm im pretty sure its d
Step-by-step explanation:
Answer:
im pretty sure its last option y=2x
Step-by-step explanation:
on the graph it touches all even numbers
PLEASE HELP ME 16 POINTS PLEASE HELP
Answer:
Slope: Rise/run
= -2/4
= -1/2
Answer:
-1/2
Step-by-step explanation:
Like I said in your previous question!!
RISE/RUN.
Choose a point, rise how many you need to, then run. Since you run 'backwards' after rising, this slope is negative!
I hope this helps!!
State whether the triangles could be proven congruent, if possible, by SSS or SAS.
Include a congruency statement for all congruent triangles.
Answer:
1. SSS
2. SAS
3. SAS
4. SSS
5. SAS
6. SAS
Step-by-step explanation:
1) Side FY ≅ Side CW Given
Side FP ≅ Side CM Given
Side YP ≅ Side MW Given
∴ΔMCW ≅ ΔFPY by the Side-Side-Side (SSS) rule of congruency
2) ∠CBD ≅ ∠BCA given that both are alternate interior angles
Side EB ≅ Side EC and Side DB ≅ Side CA Given
ΔBED ≅ ΔAEC by Side-Angle-Side (SAS) rule of congruency
3. ∠SVU ≅ ∠SVT Given
Side SV ≅ Side SV by reflexive property
Side VT ≅ Side VU Given
∴ ΔVSU ≅ ΔVST by Side-Angle-Side (SAS) rule of congruency
4. Side MN ≅ Side QP Given
Side MQ ≅ Side NP Given
Side NQ ≅ Side NQ by reflexive property
∴ΔQNM ≅ ΔQNP by the Side-Side-Side (SSS) rule of congruency
5. Indirect proof
Side GL ≅ Side HL Given
Side GJ ≅ Side HK Given
∠JLG ≅ ∠HLK vertically opposite angles
By sine rule
GJ/sin(∠JLG) = GL/n(∠GJL)
Similarly
HK/sin(∠HLK) = HL/n(∠HKL)
∴ ∠GJL ≅ ∠HKL
∴ ∠LGJ ≅ ∠LHK third angle of two triangles given the other two angles are congruent
∴ΔQNM ≅ ΔQNP by the Side-Angle-Side (SAS) rule of congruency
6. ∠XZY ≅ ∠XZW Supplementary ∠s with ∠XZY = 90°
Side XZ ≅ Side XZ by reflexive property
Side ZW ≅ Side ZY Given
∴ ΔXYZ ≅ ΔXWZ by Side-Angle-Side (SAS) rule of congruency.
The congruence theorems that can be used for each of the given pair of triangles are;
1) SSS
2) SAS
3)SAS
4) SSS
5) SAS
6) SAS
1) From the image we see that;
FY ≅ CW
FP ≅ CM
YP ≅ MW
This means that 3 corresponding sides of the 2 triangles are congruent and as such it means ΔMCW ≅ ΔFPY using the Side-Side-Side (SSS) congruency theorem.
2) From the image we see that;
∠CBD and ∠BCA are both alternate interior angles and are therefore congruent. Thus;
∠CBD ≅ ∠BCA
Also, we see that;
EB ≅ EC
DB ≅ CA
This means that 2 corresponding sides and an angle of the 2 triangles are congruent and as such it means;
ΔBED ≅ ΔAEC using the Side-Angle-Side (SAS) congruency theorem.
3) From the image, we see that;
∠SVU ≅ ∠SVT
Using reflexive property, the shared sides give;
SV ≅ SV
VT ≅ VU
This means that 2 corresponding sides and an angle of the 2 triangles are congruent and as such it means;
ΔVSU ≅ ΔVST using Side-Angle-Side (SAS) congruency theorem.
4) From the image, we see that;
MN ≅ QP
MQ ≅ NP
Using reflexive property, the shared sides give;
NQ ≅ NQ
This means that 3 corresponding sides of the 2 triangles are congruent and as such it means ΔQNM ≅ ΔQNP using the Side-Side-Side (SSS) congruency theorem.
5) From the image, we see that;
GL ≅ HL
GJ ≅ HK
∠JLG and ∠HLK are vertically opposite angles and as such;
∠JLG ≅ ∠HLK
This means that 2 corresponding sides and an angle of the 2 triangles are congruent and as such it means;
ΔQNM ≅ ΔQNP using Side-Angle-Side (SAS) congruency theorem.
6) We observe from the given triangles that;
∠XZY ≅ ∠XZW (They are both right angles = 90°)
Using reflexive property, the shared side is congruent to itself and so;
XZ ≅ XZ
Also;
ZW ≅ ZY
This means that 2 corresponding sides and an angle of the 2 triangles are congruent and as such it means;
ΔXYZ ≅ ΔXWZ using Side-Angle-Side (SAS) congruency theorem.
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Can someone help me please?
Answer:
about 6000π
Step-by-step explanation:
5. Cardi B is buying packs of gum from the grocery store. The table shows the total cost of the gum based on the number of packs bought. Which of the following represents the constant of proportionality?
brainliest!
what translation rule maps ABCD to A’B’C’D’ ?
The translation rule applied to the quadrilateral ABCD is T(1,0). The correct option is B.
What is translation?A translation in mathematics moves a shape left, right, up, or down but does not turn it. The translated (or image) shapes appear to be the same size as the original shape, indicating that they are congruent.
Given that the quadrilateral is translated on the x-y plane from ABCD to A'B'C'D'.
The translation applied to the coordinates of the quadrilateral will be one unit to the right and zero units up or down.
The translation will be written as,
T ( 1 , 0 )
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i need help ASAP ill mark u a brainiest i need an answer thats it
Answer:
I think it's 7.5 correct me if i'm wrong
Step-by-step explanation:
7.5 is half of 15
Use the midsegement theorem
solve.
1/x = 1/5x = x-1/5x
Answer:
5=x=x-1
Step-by-step explanation:
Mutiply each equation by 5x
You will get 5=x=x-1
will mark branliest
Find the zeros of the function represented by the graph
answers (multiple choice)
- -4
- -3
- -2
- -1
- 0
- 1
- 2
- 3
- 4
- no solution
What is the y value of the solution to the system of equations given? y=5x-3 3x-2y=27
Answer:
y = -18
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesAlgebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define systems
y = 5x - 3
3x - 2y = 27
Step 2: Rewrite systems
Define: 3x - 2y = 27Add 2y on both sides: 3x = 2y + 27Divide 3 on both sides: x = 2/3y + 9Step 3: Redefine
y = 5x - 3
x = 2/3y + 9
Step 4: Solve for y
Substitute in x: y = 5(2/3y + 9) - 3Distribute 5: y = 10/3y + 45 - 3Combine like terms: y = 10/3y + 42Subtract 10/3y on both sides: -7/3y = 42Divide -7/3 on both sides: y = -18PLEASE HLEP WITH QUESTION ONE PLS
1. Given the diagram to the right and information below, determine
which lines, if any, are parallel. State the converse that justifies
your answer.
199
10
0
10
b
c
Glven
Parallel Lines
Converse
a. 213a 217
b. 24 a 29
c. m219+ m222 180°
d. 8210
e. 210
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
a .
Parallel lines → a & c
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
b .
Parallel lines → d & e
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
c .
I couldn't read it....
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
d .
Parallel lines → ---
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
e .
Parallel lines → b & c
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
f .
Parallel lines → a & c
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
PLEASE PLEASE PLEASE HELP I WILL GIVE XTRA POINTS AND BRAINALIST TO FIRST PERSON
Answer:
the answer is A because it has all numbers less than 15
Step-by-step explanation:
whats an eqaution to this? please helppp
Y=-1/4+4
-1/4 is the slope and the 4 is the y-intercept (where the line touches the y-axis)
I hoped this help's!!!
Answer:
y=-1/4x+4
Step-by-step explanation:
Since the line is decreasing the slope in down 1 and to the right 4 and the y-intercept is 4. Hope this helps:)
Select all equations that can result from adding these two equations or subtracting one from the other.
x+y=12
3x-5y=4 PLZ
HELP QUICK I WILL GIVE BRAINLYIEST
Answer:
If the equation is in the form, ax + b = c, where x is the variable, you can solve the equation as before. First “undo” the addition and subtraction, and then “undo” the multiplication and division. Solve 3y + 2 = 11. Subtract 2 from both sides of the equation to get the term with the variable by itself.
Step-by-step explanation:
hope this helps, sorry if late
What's the opposite of -1.5 and 3/4?
Answer:
1.5
- 3/4
Step-by-step explanation:
To find the opposite of a number, you just have to either add or remove a negative sign.
- 1.5 is negative, so the opposite of negative 1.5 is positive 1.5 or 1.5
3/4 is positive, so the opposite of positive 3/4 is negative 3/4 or - 3/4
I Hope That This Helps! :)
Answer:
1.5
- 3/4
Step-by-step explanation: CREDIT TO GUY ABOVE!
7/2x+1/2x=6+5/2x pls help
Answer:
4
Step-by-step explanation:
7/2+1/2=8/2
8/2=6=5/2
8/2-5/2=3/2
3/2=6
3/2=1.5
6/1.5=4
Select all of the numbers that are greater than -5.
1.) 1.3
2.) -6
3.) -12
4.) -1
5.) -4
Answer:
1.3,-1, and -4
write (x+7)(x−2) as a sum
Answer:
x^2+5x-14
Step-by-step explanation:
you multiply both equations so that you get:
x^2-2x+7x-14
and then you simplify it to:
x^2+5x-14
If you found this helpful please give it a thanks
I would also appreciate it if you give me a brainliest
I need help with this problem a/3 + 5a/12 = 9/4
Answer:
= 3
/3 + 5a/12 = 9/4
The perimeter of a square with side length s
Answer:
4s
Step-by-step explanation:
The perimeter of a square is 4 times it's side length.
Formula for a perimeter of a square: [tex]4s[/tex]
s - side length
Hope this helps.
Help me out please !!!
Answer:
rate of change = 1.75 over 1 or just 1.75
Step-by-step explanation:
this represents the cost of each cantaloupe. This basically means that each cantaloupe is $1.75.
Please help!
If we write [tex]\sqrt{2} + \frac{1}{\sqrt{2}} + \sqrt{3} + \frac{1}{\sqrt{3}}[/tex] in the form [tex]\frac{a \sqrt{2} + b \sqrt{3}}{c}[/tex], such that [tex]a[/tex], [tex]b[/tex], and [tex]c[/tex] are positive integers and [tex]c[/tex] is as small as possible, then what is [tex]a+b+c[/tex]?
Answer:
[tex]a+b+c=9+8+6=23[/tex]
Step-by-step explanation:
Let’s first simplify our expression. We have:
[tex]\displaystyle {\sqrt2+\frac{1}{\sqrt2}+\sqrt3+\frac{1}{\sqrt{3}}[/tex]
For the second term, multiply both the numerator and denominator by √2. This yields:
[tex]\displaystyle \frac{1}{\sqrt{2}}\cdot\frac{\sqrt{2}}{\sqrt{2}}=\frac{\sqrt{2}}{2}[/tex]
Similarly, for the fourth term, multiply both the numerator and denominator by √3. This yields:
[tex]\displaystyle\frac{1}{\sqrt{3}}\cdot\frac{\sqrt{3}}{\sqrt{3}}=\frac{\sqrt{3}}{3}[/tex]
Hence, our expression is now:
[tex]\displaystyle =\sqrt{2}+\frac{\sqrt{2}}{2}+\sqrt{3}+\frac{\sqrt{3}}{3}[/tex]
Let’s combine them. First, we will need common denominators.
Our denominators are 2 and 3. So, our common denominator will be its LCM.
The LCM of 2 and 3 is 6.
Hence, let’s make each term’s denominator 6.
For the first term, we can multiply both layers by 6. Hence:
[tex]\displaystyle \sqrt{2}=\frac{6\sqrt{2}}{6}[/tex]
For the second term, we can multiply both layers by 3. Hence:
[tex]\displaystyle \frac{\sqrt{2}}{2}=\frac{3\sqrt{2}}{6}[/tex]
For the third term, we can multiply both layers by 6. Hence:
[tex]\displaystyle \sqrt{3}=\frac{6\sqrt{3}}{6}[/tex]
And for the last term, we can multiply both layers by 2. Hence:
[tex]\displaystyle \frac{\sqrt{3}}{3}=\frac{2\sqrt{3}}{6}[/tex]
So, our expression is:
[tex]\displaystyle =\frac{6\sqrt{2}}{6}+\frac{3\sqrt{2}}{6}+\frac{6\sqrt{3}}{6}+\frac{2\sqrt{3}}{6}[/tex]
Add:
[tex]\displaystyle =\frac{6\sqrt{2}+3\sqrt{2}+6\sqrt{3}+2\sqrt{3}}{6}[/tex]
Combine like terms:
[tex]\displaystyle=\frac{9\sqrt{2}+8\sqrt{3}}{6}[/tex]
This cannot be simplified. So, c is as small as possible.
Hence: a=9, b=8, and c=6.
Therefore:
[tex]a+b+c=9+8+6=23[/tex]
find the zeros of the polynomial x square-3 and verify the reationship between the zeros and the coefficient.
Answer:
√3, and -√3
Step-by-step explanation:
to find the zeros or roots of the polinomial x²-3 make it equal to zero and solve for x
x²-3=0 add 3 to both sides to isolate x
x² = 3 squareroot both sides
√x²= √3
x= ±√3 are the two zeros
Find the length of the diagonal of a square with perimeter 56
Answer:
About 19.8
Step-by-step explanation:
First find the side lengths. In this example, 56/4=14
Next use the Pythagorean theorem, to us it, here's the formula a squared plus b squared equals c squared. For this example use 14 squared plus 14 squared which equals 392.
Finally take the square root of 392 because we still need to take the squared out in c. The square root of 392 rounded to the nearest tenth is 19.8.