9514 1404 393
Answer:
(1, 7)
Step-by-step explanation:
Fill in x=1 and do the arithmetic.
h(1) = 4(1) +3 = 7
The coordinate pair is ...
(x, h(x)) = (1, h(1)) = (1, 7)
Which translation maps the graph of the function f(x) = x2 onto the function g(x) = x2 + 2x + 6?
O left 1 unit, up 5 units
Oright 1 unit, up 5 units
left 2 units, up 2 units
Oright 2 units, up 2 units
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
Read more about Arithmetic
https://brainly.com/question/22568180
Evaluate the function for f(-9 if (x) = 3/5 x + 8
Answer:
f(-9)= 2.6
Step-by-step explanation:
3/5*-9= -5.4
-5.4+8= 2.6
Answer:
Substitute the value of the variable into the function and simplify.
-9f
Step-by-step explanation:
The entry ticket to a local football game costs $12 for an adult and $8 for a child. A group of 100 people paid an entry fee of $1,056. How many adults and how many children were there in this group? Drag the correct value to the appropriate box.
Step-by-step explanation:
let x be the number of adults and y number of childrens
so we have. x+y=100 people
and. 12*x+8*y=1056 dollars
x=100-y
replace 100-y to the second equation
12*(100-y)+8y=1056
1200-12y+8y=1056
1200-4y=1055
1200-1056=4y
144=4y
y=144/4=36
so x=100-y=100-36=64
so in this group were 64 adults and 36 childrens
In this group were 64 adults and 36 children.
What is system of equation ?In mathematics, a system of linear equations (or linear system) is a collection of one or more linear equations involving the same variables.
let x be the number of adults and y number of children
so we have. x + y = 100 people
and. 12 × x + 8 × y = 1056 dollars
x=100 - y
replace 100 - y to the second equation
12 × (100 - y) + 8y = 1056
1200 - 12y + 8y = 1056
1200 - 4y = 1055
1200 - 1056 = 4y
144 = 4y
y = 144/4 = 36
so x = 100 - y = 100 - 36 = 64
Hence, in this group were 64 adults and 36 children.
To learn more about system of equations from here
https://brainly.com/question/12895249
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please I need answer asap!!
Where is the point (5,-1) located in the coordinate plane? O A. In quadrant IV B. In quadrant II C. On the y-axis OD. In quadrant Ill
Answer:
A. In quadrant IV
Step-by-step explanation:
I checked it and it’s right on A P E X hope this helps:)
Are integers rational numbers
Answer:
Yes
Step-by-step explanation:
ALL integers are rational numbers. However, NOT all rational numbers are integers
If the 16 boys in the classroom are 40% of the class how many students re there in class
Answer: 40 students
Step-by-step explanation: All we need to do is do 16/40 to get 0.4 or 40%. So 100% = 40.
(-6x^2-x)-(-4x^2+10x-1)
will give brainlest and 20 points and please hurry
Answer -10x 2- 11x +1 (2 as a exponent) im not completely sure if its right but i tried
Step-by-step explanation:
which expression has the same value as 9 - (-7)?
Answer:
[tex]9 + 7 = 9 - (-7)[/tex]
Step-by-step explanation:
[tex]9 - (-7) \: is \: same \: as \: (9) + (7)[/tex]
Anyone know how to do??
Step-by-step explanation:
here it is
hope u get it
don't forget to change the signs when u trasfer the terms
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
Since those two angles are corresponding that means they are equal to each other so we write an equation like this...
[tex]7x+9=8x+2[/tex]
Now we solve for x...
[tex]7x+9=8x+2\\9=x+2\\x=7[/tex]
And that's it x will equal 7.
Which of the following is the equation for the line perpendicular to the line y=−x+20 that passes through the point (−4, 2)?
A)Y = -x + 6
B)Y = x - 2
C)Y = x + 6
D)Y = -x - 2
the area of a iscoles triangle having base 3 cm and length of the equal side is 2cm is
Answer:
please rotate the picture*
A snail can move approximately 0.30 meters per minute. How many meters can the snail cover in 20 minutes?
Answer:
6
Step-by-step explanation:
0.30
x 20
6
PLEASE HELP WILL GIVE BRAINLIEST AND 20+ points PLEASE HELP
Answer:
I HAVE THE SAME THING
Step-by-step explanation:
Need to know ASAP thank u!!!
7x_____=1 Help pls lol
Answer:
1
Step-by-step explanation:
Answer:
I dont think there an answer to that question can you tell us the options
Which expression is equivalent to
-3/2 - 1/5
Answer:
- 17/10
Step-by-step explanation:
Deandra is doing her math homework out of 24 problems total could be completed the first world problems and 1 hour and the last 12 problems in 3 hours what is the unit rate for all 24 problems
A: 4 problems per hour
B: 6 problems per hour
C: 8 problems per hour
D: 12 problems per hour
Answer:
I believe the answer is B. Six problems per hr (hour)
Julio says, "If you subtract 17 from my number and multiply the difference by -5, the result is
- 70." What is Julio's number?
Answer:
Julio's number is 31.
Step-by-step explanation:
Okay, so -70 divided by -5 is 14.
14 plus 17 equals 31.
If you subtract 17 from 31, you get 14.
Then, if you multiply 14 times -5, you get -70.
To which subset numbers does the following number belong?
write the lengths in order from greatest to least
12.7 ( 12 7/10) 12 3/5 12 3/4
Two buses are traveling to a state park. One bus leaves the terminal at 4:00 pm, and travels at 40 miles per hour. The second bus
leaves the terminal at 5:00 p.m. and travels at 60 miles per hour.
At what time does the second bus catch up with the first bus?
Answer:
Step-by-step explanation:
When the second bus catches up to the first bus, this means that the distance they have travelled is equal.
So for bus 1, you know it travels at 40 miles per hour.
4pm = 0 miles
5pm = 40 miles
6 pm = 80 miles
7pm = 120 miles
For bus 2, you know it travels at 60 miles per hour
5pm = 0 miles
6pm = 60 miles
7pm = 120 miles.
So you can see that at 7pm, they will both have travelled 120 miles.
EXPRESS 250 AS THE PRODUCT OF ITS PRIME
Answer:
Step-by-step explanation:
2 | 250
5 | 125
5 | 25
5 | 5
1 | 1
250 = 2 × 5 × 5 × 5
It will be nice if you give me brainliest. Good luck!
A cell phone charges $50 for the phone plus a monthly service charge of $30. What would be the total cost after 3 months?
Answer:
140 dollas
Step-by-step explanation:
Answer:
$140
Step-by-step explanation:
Phone cost: $50
1 Month of service charge: $30
3 Months of service charge: $90
Total cost: $30 + $90 = $140
What is the equation of the line that is parallel to the line 5x + 2y = 12 and passes through the point (-2, 4)?
o y = -xx-1
y=-{x+5
O y = 2 x 1
y=x+5
Which of the given values is the greatest
A) 0.325
B)0.42
C)1/8
D)2/5
Answer:
I think the answer is d) 2/5
Answer:
B
B is the answer
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 :)
I have no idea what to do here please help
Answer:
m = 5
m = -3
m = 1/6
m = 2/7
m = -8/3
Will give Brainliest, like, comment and 10 points to best answer
Could you help me with this please?
Answer:
You are simply dividing a by 3 to reach y each time!
Step-by-step explanation:
.What is the slope of the line defined by the
equation 3 x-2 y= 10? PLEASE I WILL GIVE BRAINLEST IF CORRECT
Step-by-step explanation:
Multiply 3x-6
Rearrange y=10/3x-6
slope=10/3 x
Stacy wants to go on a vacation that will cost her at least $1540. She has $1825 saved but has
$65 deducted every week from her paycheck to pay for her insurance. At most, how many
weeks can she have these deductions made in order to afford her vacation
Answer:
4 weeks
Step-by-step explanation:
First,, we should subtract the vacation price from her savings to get the base. That is 1835-1540=295. Then we can do 295/65,, and then we get 4 7/13. So,, she can only afford 4 weeks of these deductions in order to have enough money for her vacation.