Answer:
The translation is left 1 unit, up 5 units ⇒ A
Step-by-step explanation:
Let us revise the rules of translation of a function
If the function f(x) translated horizontally to the right by h units, then its image is g(x) = f(x - h) If the function f(x) translated horizontally to the left by h units, then its image is g(x) = f(x + h) If the function f(x) translated vertically up by k units, then its image is g(x) = f(x) + k If the function f(x) translated vertically down by k units, then its image is g(x) = f(x) - kThe vertex form of the quadratic function is f(x) = ax² + bx + c, where a, b, and c are constant is f(x) = a(x - h)² + k, where h = [tex]\frac{-b}{2a}[/tex] and k = f(h)
You will use the vertex form to find the translation
∵ g(x) = x² + 2x + 6
∴ a = 1 and b = 2
→ use the rule of h to find it
∴ h = [tex]\frac{-2}{2(1)}=\frac{-2}{2}[/tex]
∴ h = -1
→ Use it to find k
∵ g(h) = k
∴ k = g(-1)
→ Substitute x by -1 in g to find k
∴ k = (-1)² + 2(-1) + 6 = 1 - 2 + 6
∴ k = 5
→ Substitute the values of h and k in the vertex form above
∴ g(x) = 1(x - -1)² + 5
∴ g(x) = (x + 1)² + 5
→ By using the 2nd and 3rd rules of translation above
∴ f(x) is translated 1 unit to the left and 5 units up
∴ The translation is left 1 unit, up 5 units
The translation that maps the graph is mathematically given as
"The translation as left 1 unit, up 5 units"
Which translation maps the graph of the function f(x) = x2 onto the function g(x) = x2 + 2x + 6?Translation is simply defined as the communication of the meaning of source content into target-content.
Generally, the equation for the vertex form is mathematically given as
g(x) = x² + 2x + 6
Where
a = 1 and b = 2 and h=-1
g(h) = k
k = g(-1)
k = (-1)² + 2(-1) + 6
k= 1 - 2 + 6
k = 5
In conclusion
g(x) = (x + 1)^2 + 5
Giving the translation as left 1 unit, up 5 units
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Alexandria High School scored 37 points in a football game. Six points are awarded for each touchdown. After each touchdown, the team can earn one point for the extra kick or two points for a 2-point conversion. The team scored one fewer 2-point conversions than extra kicks. The team scored 10 times during the game. How many touchdowns were made during the game?
Answer:
Five touchdowns were made in the game
Step-by-step explanation:
Here, we want to know the number of touchdowns made during the game.
We proceed as follows;
Let the number of touch downs be x
So the total points earned through touchdowns is 6 * x = 6x
The number of scores is 10 times
Let the number of extra kick be y which means that the number of conversions will be (y-1)
So the total number of score times will be ;
x + y + y-1 = 10
x + 2y = 11 •••••••••(i)
Now let’s work with points
Touch down points = 6 * x = 6x
Points from extra kick = 1 * y = y
Points from 2-point conversions = 2(y-1) = 2y - 2
So;
6x + y + 2y -2 = 37
6x + 3y = 37 + 2
6x + 3y = 39
divide through by 3
2x + y = 13 •••••••(ii)
So now solve simultaneously
From ii, y = 13 - 2x
Put this into i
x + 2(13-2x) = 11
x + 26 - 4x = 11
x -4x = 11-26
-3x = -15
x = -15/-3
x = 5
There are five touchdowns in the game
Answer:
x = -15/-3
Step-by-step explanation:
Five touchdowns were made in the game
Step-by-step explanation:
Here, we want to know the number of touchdowns made during the game.
We proceed as follows;
Let the number of touch downs be x
So the total points earned through touchdowns is 6 * x = 6x
The number of scores is 10 times
Let the number of extra kick be y which means that the number of conversions will be (y-1)
So the total number of score times will be ;
x + y + y-1 = 10
x + 2y = 11 •••••••••(i)
Now let’s work with points
Touch down points = 6 * x = 6x
Points from extra kick = 1 * y = y
Points from 2-point conversions = 2(y-1) = 2y - 2
So;
6x + y + 2y -2 = 37
6x + 3y = 37 + 2
6x + 3y = 39
divide through by 3
2x + y = 13 •••••••(ii)
So now solve simultaneously
From ii, y = 13 - 2x
Put this into i
x + 2(13-2x) = 11
x + 26 - 4x = 11
x -4x = 11-26
-3x = -15
What is the first step in solving the equation 3.5n+6.4= 42.5?
0 Add 6.4 to each side of the equation.
O Subtract 6.4 from each side of the equation.
O Multiply each side of the equation by 3.5.
O Divide each side of the equation by 6.4.
Answer add 6.4 to each side explanation:
find the area of figure
Lauren needs 3.6 meters of ribbon to make a bow. She
cuts the ribbon off a roll that has 26.45 meters of ribbon.
How many meters of ribbon are left on the roll?
About how many galllons of grape juice are shown in the picture?
Answer:
About 3.9 gallons
Step-by-step explanation:
There are about 14.8 liters of juice in the bottle, and converting it to gallons is about 3.9 gallons. Hope it helps!
Answer:
3.8 gallons of grape juice is shown
Helloo I need help with this
Please and Thank you :)
Seth is making panels for a stained-glass window. He makes a triangular pane shaped like the triangle shown. Which of these rectangular panes has the same area as the triangular pane?
Help me please! I will mark brainliest whoever answers this with the right answer
Answer:
Options A and C
Step-by-step explanation:
Area of the triangular pane = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
= [tex]\frac{1}{2}(14)(12)[/tex]
= 84 cm²
Area of the rectangle is given by the formula,
Area = Length × width
Option A.
Area of the rectangular pane = 12 × 7
= 84 cm²
Option B.
Area of the rectangular pane = 15 × 7
= 105 cm²
Option C.
Area of the rectangular pane = 21 × 4
= 84 cm²
Option D.
Area of the rectangular pane = 21 × 8
= 168 cm²
Option E.
Area of the rectangular pane = 28 × 6
= 168 cm²
Therefore, rectangular panes A and C have the equal area as the triangular pane has.
Already got the answer, alright one more to answer is for me! Question = free points. For me!
In the decimal system, when we divide a number by 10, the rightmost digit in the number is the remainder. Divide the number 157 by 10 repeatedly. Each time, write the remainder in the last column and the quotient in the dividend column. You can stop dividing when you get a 0 in the dividend column.
Answer:
See explanation
Step-by-step explanation:
Required
Divide 157 by 10 repeatedly.
This is done as follows...
157 Divided by 10 = 15 Remainder 7
15 Divided by 10 = 1 Remainder 5
1 Divided by 10 = 0 Remainder 1
As per the requirement of the question, no further action or operation is required
A class walked 2.5 miles for a walk-a-thon.
How many yards did the class walk?
Answer:
4400 Yards
Step-by-step explanation:
A mile equals 1,760 yards. 2.5 times 1,760 gives you 4,400
It is given that A class walked 2.5 miles for a walk-a-thon then the class walked 4400 yards.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
It is given that A class walked 2.5 miles for a walk-a-thon.
WE are asked How many yards did the class walk.
A mile equals 1,760 yards.
If one mile is 1760 yards, then the answer should be
= 1760 times the number of miles.
So 1760*2.5 = 4400
Hence, the class walked 4400 yards.
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10. Look at the diagram. Which of the following is a pair of vertical angles?
Answer:
1 option is correct
Step-by-step explanation:
Angle AOB and DOC is vertically opposite angle
x– 5x + 19 = 10 + 2x – 3
Answer:
x=-6
Step-by-step explanation:
x-5x+19=10+2x-3
-4x+19=10+2x-3
-4x+19=7+2x
19=7-2x
12=-2x
x=-6
Answer:
x = 2
Step-by-step explanation:
x - 5x + 19 = 10 + 2x - 3
-4x +19 = 7 + 2x
-2x -2x
-6x + 19 = 7
-19 -19
-6/-6x = -12/-6
x = 2
round 79.6 to the nearest whole number
Answer:
80
Step-by-step explanation:
Answer:
80
Step-by-step explanation:
the side length of a square is equal to?
a) the square of its area
b) the square root of its area
c) its area
d) half of its area
Answer:
half of the area
Step-by-step explanation:
i am not sure
Answer:
b
Step-by-step explanation
The line is translated 2 units down which equation will best describes the new line
Answer:
The y intercept should be 2 lower than the original equation
Step-by-step explanation:
Suppose Sine (x) = four-fifths and cos(x) < 0. What is the value of cos(2x)?
Negative StartFraction 14 Over 25 EndFraction
Negative StartFraction 7 Over 25 EndFraction
StartFraction 7 Over 25 EndFraction
StartFraction 14 Over 25 EndFraction
Answer:
B.-7/25
Step-by-step explanation:
edge
The required value of cos(2x) is -7/25. Option B is correct.
sinx = 4/5
cosx < 0
Trigonometry is the study of angles in mathematics.
Here,
cos(2x) = 1-2sin²x
= 1 - 2 x 4²/5²
= 1 - 32/25
cos(2x) = -7/25
Thus, the required value of cos(2x) is -7/25.
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PLEASE PLEASE PLEASE HELP ME
Answer:
8 cars
Step-by-step explanation:
8*50= 400
Which inequality has the solution set shown on the graph?
a.-54n 1080
c.594 > -11n
d.594 < -11n
Answer:
594 > -11n
Step-by-step explanation:
the answer is c lol
Answer:
The answer is C
Proof:
Step-by-step explanation:
PLEASE ANSWER ASAP AND ANSWER EVERYTHING SORRY FOR BAD QUALITY WILL MARK BRAINLIEST PLEASE ANSWER SOON
Answer:
1 Angle A is 44, 2 angle A is 20.
~~~~~~~~~~~~~~~~~~~~~~~~~~~
The Equation for 1 is x + 45 + 82 + x + 65 = 180 x = -1 A = 44 Degrees
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
The Equation for 2 is x + 21 + 130 + x + 31 = 180 x = -1 Angle A = 20 Degree
~~~~~~~~
Bye have a nice day :)
PLEASE HELP WORTH 25 POINTS, find a and b.
Answer:
a = 12 b = 30
Step-by-step explanation:
You start at (-3,0). You move down 2 units and left 1 unit. Where do you end?
Answer: should end up on (-4 , -2)
Step-by-step explanation:
in the function y+2=1/3(x-4)^2, what effect does the number4 have on the graph, as compared to the graph of y=x^2
Answer: It shifts the graph four units to the right.
Step-by-step explanation: I just did it on apex. Your welcome guys stay safe and dream big:)
A rectangle is graphed on the coordinate grid.
On a coordinate plane, side p has points (1, 4) and (3, 6), side q has points (3, 6) and (6, 3), side r has points (4, 1) and (6, 3), and side s has points (4, 1) and (1, 4).
Which represents the equation of a side that is perpendicular to side s?
y = negative x + 9
y = negative x + 5
y = x + 9
y = x + 3
Answer:
y=negative x+5
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Y=X+3
Solve the equation 2x2- 5 = 45
Answer:
x= 5, -5
Step-by-step explanation:
a t-shirt shop sells tie-dye shirts for $16 and plain shirts for $10. they sold 28 shirts and made 400$ today. How many tie-dye shirts did they sell. please answer quickly
Answer:
Multiply
Step-by-step explanation:
Answer:
20 tie dye t shirts
Step-by-step explanation:
-4x = -1/2 ( 10x + 18 ) can anyone coment
Answer:
Your answer is: x = -9
Solve for x by simplifying both sides of the equation, then isolating the variable.
Step-by-step explanation:
Hope this helped : )
Add the equations 2x-3y=-1 + 3x+3y=26 A. 5x-6y=-27 B. 5x=27 C. 6y=25 D. 5x=25
Answer:
D) 5x = 25
Step-by-step explanation:
-1+26 = 25
2x + 3x = 5x
-3y + 3y = 0
Answer:
pretty sure it is b
Step-by-step explanation:
PLZ help it is due today
Answer:
45 gallons
Step-by-step explanation:
60/4=15 so each quarter is 15 gallons. He already has 15 gallons so he needs 45 more.
Answer:
45 gallons
Step-by-step explanation:
60*1/4=15
15*3= 45
Solve for l: A = 1/2 lw
l= 2a
w
Step-by-step explanation:
there you go in the picture i created for you
Answer:
[tex]l=\frac{2a}{w}[/tex]
Step-by-step explanation:
I am smart.
Only number 7
Please
Answer:
Step-by-step explanation:
20 problems
correct=+4
false=-1
unanswered=0
Uncorrectly:5 => -5
unanswered:2 =>0 points
20x4=80 points in total(only correct awnsers)
=>20-5+2=13 correct awnsers
13x4=52
52-5=47
It will be nice if you give me brainliest. Good luck!
3(2x + 5) + 4 = 7
what the answer to c
Answer:
-2
Step-by-step explanation:
Opening bracket,
6x+15 +4=7
6x=7-19 (I took 15 and 4 to other side and thus they became negative)
x=-12/6
x=-2
Pls mark me brainliest
Answer:
The answer is x = -2
Step-by-step explanation:
FOIL
3*2x + 3*5 + 4 = 7
6x + 15 + 4 = 7
6x + 19 = 7
Subtract 19 from both sides.
6x = -12
Divide both by 6.
x = -2
What is the value of each digit in 28.6597
Answer:
1. 20 (tens)
2. 8 (ones)
3. 0.6 (tenths)
4. 0.005 (Hundredths)
5. 0.0009 (thousandths)
6. 0.00007 (ten thousandths)
i hoped this helped!
Step-by-step explanation:
The accepted method for representing both integer and non-integer numbers is the decimal numeral system.
What are decimal numbers?The accepted method for representing both integer and non-integer numbers is the decimal numeral system. Decimal notation is the term used to describe the method of representing numbers in the decimal system.
Given the decimal number is 28.6597. The value of each digit in the decimal number will be calculated as,
1. 20 (tens)
2. 8 (ones)
3. 0.6 (tenths)
4. 0.005 (Hundredths)
5. 0.0009 (thousandths)
6. 0.00007 (ten thousandths)
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