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) - k
The 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 = 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 =
∴ 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
Answer:
it's A. left 1 unit
Step-by-step explanation:
there's a graphing tool on e d g just copy and paste the equations in that and it'll give you the answer
"At an ice cream shop, customers pay $3.00 for a medium ice cream plus $0.75 per topping. At a second ice cream shop, customers pay $5.25 for a medium ice cream plus $0.25 per topping. How many toppings would a customer have to order for the ice cream to cost the same at either shop?"
Answer:hope this helps
0.75x + 3 = 0.25x + 5.25
Constants are $3 and $5.25 respectively
Topping costs $0.75 and $0.25 respectively
To have same cost the toppings number would be different as cost is different.
Suppose the number of toppings is x in one shop and y in the other, then the spending if same, we get this equation:
0.75x + 3 = 0.25y + 5.25
Constants are $3 and $5.25 respectively
Jon answered 20 questions correctly on a 50-question test. Which does NOT
represent the part of the test he answered correctly?
Answer: .86
Step-by-step explanation: Percentages can represent sale prices, such as 20 percent off, success rates, such as getting 86 ... Enter the portion you are converting to a percentage in the calculator. ... For example, if there were a total of 50 question on the test, enter "50." ... For example, if a student got 43 out of 50 questions correct, your answer is .86.
A tree grows 10 inches each year. When the tree is 6 years old, it is 108 inches tall.
Use this information to write an equation.
How tall will the tree be in 50 years?
The table shows the changes in the times (in seconds) of four teammates. What is the mean change? Write your answer as a decimal. -2.43, -1.85, 0.61, -1.45
What early human development was necessary for survival in cold environments?
A finding shelter in caves
B banding together in clan groups
C wearing wool clothing for warmth
D creating language to communicate
Please: It is not C, so do not bother with that. I checked several others and people have different answers. If it right, i will mark brainliest
A line with a slope of -2 passes through the point (-2,-3). What is the equation of this line?
Answer:
y = - 2x - 7
Step-by-step explanation:
Step 1:
y = mx + b Slope Intercept Form
Step 2:
y = - 2x + b Input Slope
Step 3:
- 3 = - 2 ( - 2 ) + b Input x and y
Step 4:
- 3 = 4 + b Multiply
Step 5:
- 7 = b Subtract 4 on both sides
Answer:
y = - 2x - 7
Hope This Helps :)
m = -2
y = mx +c
-3= -2(-2) +c
-3 =4 + c , c = -7
Thus, equation is y = -2x-7
someone help solve it please
Answer: 10
Step-by-step explanation:
The x-intercepts means when y equals 0, or when the function crosses the x-axis.
0 = (x-6)^2 - 16
16 = (x-6)^2
Take the square root of both sides:
4 = (x-6)
Add 6 to both sides to get:
x = 10
5. What are the two most common
causes of chemical weathering?
6. Oxygen combining with rocks and
minerals is called
Erosion
Oxidation
Can you guys please help me I’ll give y’all brainlest whatever it’s called I just started 6th grade and I’m new to this please help !?
help asap!! the curriculum is plato
1 1/2d-9=12 can you help explain how to do this
Answer:
d =14
Step-by-step explanation:
[tex]1\frac{1}{2} d -9 =12[/tex]
[tex]\frac{3}{2} d = 12+ 9[/tex]
[tex]\frac{3}{2} d =21[/tex]
[tex]d = 21 : \frac{3}{2}[/tex]
[tex]d = 14[/tex]
the sum of 17 and a number X is equal to 20
Answer:
20 = x + 17
Step-by-step explanation:
Answer:
x = 3
Step-by-step explanation:
17 + x = 20
-17 -17
x = 3
I REALLY NEED HELP FOR SOLVING X!
(25 Points)
Answer:
105°
Step-by-step explanation:
25+50+x=180
75+x=180
x=105
Answer:
x = 105°Step-by-step explanation:
sum of interior angles = 180
25 + 50 + x = 180
x = 180 - 25 - 50
x = 105°
I need help?? Not sure what I'm supposed to do here-
if we have a geometric series with u1 = 2.1 and r= 1.06, what would the least value of n be such that Sn > 5543?
Answer:
88
Step-by-step explanation:
Write the expression for the sum in the relation you want.
Sn = u1(r^n -1)/(r -1) = 2.1(1.06^n -1)/(1.06 -1)
Sn = (2.1/0.06)(1.06^n -1) = 35(1.06^n -1)
The relation we want is ...
Sn > 5543
35(1.06^n -1) > 5543 . . . . substitute for Sn
1.06^n -1 > 5543/35 . . . . divide by 35
1.06^n > 5578/35 . . . . . . add 1
n·log(1.06) > log(5578/35) . . . take the log
n > 87.03 . . . . . . . . . . . . . . divide by the coefficient of n
The least value of n such that Sn > 5543 is 88.
A runner crossed the finish line at the time shown on the clock. The runners time was 2 hours and 45 minutes. What time did the race begin? Helppp quick plzzzzz I rlly need to fast tho
Answer:
12.00
Step-by-step explanation:
9:15 + 2 hours and 45 minutes =
(9:15 + 2) + 45 +
11:15 + 45 = 12:00
Hope This Helps
<3
Please help. Will mark as Brainliest.
Answer: Choice A
Arithmetic, common difference = -10
==========================================
Explanation:
We subtract 10 from each term to get the next one
5-10 = -5
-5-10 = -15
-15-10 = -25
This is the same as adding -10 to each term
5+(-10) = -5
-5+(-10) = -15
-15+(-10) = -25
So this is why the common difference is -10 and the sequence is arithmetic.
what is three plus three
Answer:
6
Step-by-step explanation:
Because 3 plus 3 is 6
help me with this please
As the heart beats, blood pressure increases and
decreases. This happens cyclically at the rate of the
person's heart beat. A doctor is monitoring the blood
pressure of a patient whose heart rate is 70 beats per
minute. The maximum blood pressure over the course of
a 10-minute period is 120 mm/Hg and the minimum is 60
mm/Hg.
Find a sine function that models the person’s blood pressure as a function of time (in minutes).
Answer:
A
Step-by-step explanation:
Got it right on edge2020
The sine function that models the person’s blood pressure will be f(x) = 30 sin(Πx/5) + 90.
What is a function?Function is a relationship between two sets X and Y where Set X is called domain and set Y is called codomain.
For example f(x)= sin x+ cos x
We have,
The Blood pressure of patient with the heart rate = 70 beats/ minute
And,
In next 10 minutes,
The maximum blood pressure i.e. (a + d) = 120 mm/Hg
The maximum blood pressure i.e. (-a + d) = 60 mm/Hg
So,
Sine function works on;
f(x) = a sin(bx + c) +d
So,
Now,
Adding Maximum and Minimum blood pressure,
i.e.
(a+d)+(-a+d) = 120 + 60
⇒a + d - a + d = 180
⇒ 2d = 180
d =90
So,
NOw, substituting this value in maximum blood pressure,
i.e. (a + d) = 120
a + 90 =120
a = 30
we have time period = 10 minutes,
So,
2Π/b = 10
⇒ b = Π/5
So,
Count is started at 0.
So, c = 0,
Putting the above value,
f(x) = a sin(bx + c) +d
⇒f(x) = 30 sin(Πx/5 + 0) +90
⇒f(x) = 30 sin(Πx/5) +90
Therefore, the sine function that models the person’s blood pressure as a function of time (in minutes) will be f(x) = 30 sin(Πx/5) + 90.
Learn more about the modeling click here:
https://brainly.com/question/12070030
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Which graph best represent the solution to this system of inequalities? 2x ≤ y – 1
2x – 5y ≤ 10
Find the distance between the two points rounding to the nearest tenth (if necessary). ( 3 , − 3 ) and ( 7 , − 8 )
Answer:
6.4 units
Step-by-step explanation:
c = √(x1 - x2)^2 + (y1 - y2)^2
c = √(3 - 7)^2 + (-3 + 8)^2
c = √(-4)^2 + (5)^2
c = √16 + 25
c = √41
c = 6.4031...
c = 6.4
Find the value of g (-2) if g(x) = x3 - x
Answer: -6
Step-by-step explanation:
See attached picture
Help please and thxxx
Answer:
e
Step-by-step explanation:
A pencil box contains five
red, six yellow, eight blue,
three orange, and two
purple colored pencils. If
one is chosen at random,
find each probability.
Answer:
red pencil=5/24
yellow pencil=6/24
Blue pencil=8/24
Orange pencil=3/24
purple pencil=2/24
Simplify by using order of operations: 4 + (9∙2) ÷ (4 - 1) - 4
Answer:
20
Step-by-step explanation:
Use PEMDAS
P = parenthesis
E = Exponents
M = Multiplication*
D = Division*
A = Addition**
S = Subtraction**
*either can come first, it just depends which comes first in the equation.
**either can come first, it just depends which comes first in the equation.
Step 1 : Write equation 4( 9 × 2 ) ÷ ( 4 -1 ) - 4
Step 2: Solve in parenthesis 4(18) ÷ (3) - 4
Step 3: Solve multiplication 72 ÷ 3 - 4
Step 4: Solve division 24 - 4
Step 5 : Solve subtraction 20
The simplified answers is -22.
What is order of operation?The order of Operations is the rule in math that states we evaluate the parentheses/brackets first, the exponents/the orders second, division or multiplication third (from left to right, whichever comes first), and the addition or subtraction at the last (from left to right, whichever comes first). In math, there might be several operations to be done while evaluating an expression, and simplification at the end yields different results. However, we can only have one correct answer for any sort of expression. To identify the correct answer we simplify any given mathematical expression using a certain set of rules. These rules revolve around all the basic operators used in maths. Operators such as addition (+), subtraction (-), division (÷), and multiplication (×).
The order of operation can be termed as BODMAS.
Given:
4 + (9∙2) ÷ (4 - 1) - 4
=4+ (18) / (3)- 4
=22 / -1
=-22
Learn more about this concept here:
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What is the rise and run of the line D
PLEASE HELPPPP ANSWER this QUESTION WITH PROPER EXPLAINATIONNNN BRainliest will be givennn
Answer:
rise: 1
run: 2
rise over run 1/2
Step-by-step explanation:
to find slope move up one over 2 to the left
9 x 10^-9 in standard form
Answer:
[tex]9^{1000000000}[/tex]
Step-by-step explanation:
while remodeling his kitchen, Arthur paints the cabinets. he estimates that he paints 30 square feet every 20 minutes. how many square feet does arthur paint per hour
Answer:
90 square feet per hour
Evaluate the expression:
3(a + b - 3) - 2(2a + b - 4) when a = -1 and b = 1
Answer:
1
Step-by-step explanation:
help pls im so confused
