(1).
f(x) = |x − 5| + 3
f(2) = |2 − 5| + 3 = |−3| + 3 = 3 + 3 = 6
(2).
f(x) = 8 − 3|x + 2|
f(−6) = 8 − 3|−6 + 2| = 8 − 3|−4| = 8 − 3·4 = 8 − 12 = − 4
(3).
For f(x) = |x − h| + k the turning point is (h, k), so:
f(x) = |x − 2| + 3 ⇒ the turning point is: (2, 3)
The value of f (2) will be;
⇒ f(2) = 6
The value of f (- 6) will be;
⇒ f(-6) = 4
The turning point of the graph will be;
⇒ (2, 3)
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
1) The function is,
⇒ f(x) = |x−5| + 3
2) The function is,
⇒ f(x) = 8 - 3 |x+ 2|
3) The function is,
⇒ f(x) = |x−2| + 3
Now,
1) The function is,
⇒ f(x) = |x−5| + 3
Put x = 2;
⇒ f (2) = |2 - 5| + 3
⇒ f (2) = 3 + 3
⇒ f(2) = 6
2) The function is,
⇒ f(x) = 8 - 3 |x+ 2|
Put x = - 6;
⇒ f (- 6) = 8 - 3 |- 6 + 2|
⇒ f (-6) = 8 - 3 × 4
⇒ f(-6) = 8 - 12
⇒ f (- 6) = - 4
3) The function is,
⇒ f(x) = |x−2| + 3
We know that;
Turning point of the function f (x) = |x - h| + k are (h, k)
So, By comparing we get;
The turning point of the graph of f(x) = |x−2| + 3 are (2, 3).
Thus, The value of f (2) will be;
⇒ f(2) = 6
The value of f (- 6) will be;
⇒ f(-6) = 4
The turning point of the graph will be;
⇒ (2, 3)
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Midpoint of (-8,3) (10,-4)
Answer: The correct answer is (1, -0.5)
Step-by-step explanation:
Sum1 plz help I’ll mark brainliest answer these 2
13. is C.
14. I believe is A.
Sorry if i'm wrong I tried though!
probability someone help?
Answer:
40%
Step-by-step explanation:
A rock is thrown straight up from the top of a bridge that is 75 ft high with an initial velocity of 32 ft/s. The height of the object can be modeled by the equation s(t) = -16t2 + 32t + 75. Determine the time(s) the ball is lower than the bridge in interval notation.
In two or more complete sentences, explain why (-∞,0) is not included in the solution.
The ball is lower than the bridge at the interval [2, 3.385] and (-∞,0) contains negative values
How to determine the time the balloon lower than the bridge?The equation of the function is given as
h(t)= -16t^2 + 32t + 75
The above equation is a quadratic equation
When the balloon is less than the bridge i.e. a height of 75 feet, we have
h(t) < 75
So, we have the following equation and inequality
h(t)= -16t^2 + 32t + 7
h(t) < 75
Next, we plot the equation and inequality on a graph (see attachment)
The equations intersect at
t = 0 and t = 2
Remove when t = 0
t = 2
The ball hits the ground at t = 3.385
So, the interval is [2, 3.385]
Also, (-∞,0) is not included in the solution because time cannot be negative
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please help me
you just need to form quadratic equations
Answer:
The value of x is 6
Step-by-step explanation:
The formula of the area of the rectangle is A = l × w, where
l is its lengthw is its widthIn the rectangle ABCD
∵ AB = 2x cm
∴ l = 2x
∵ AD = x cm
∴ w = x
→ Use the formula of the area above to find its area
∵ A = 2x × x
∴ A = 2x²
∵ The area of the shaded region = 50 cm²
→ When the shaded region removed, then the remaining area is the
unshaded region
∵ The area of unshaded region = 22 cm²
∵ The area the ABCD = area the shaded region + area unshaded region
∴ A = 50 + 22
∴ A = 72 cm²
→ Equate the two right side of A
∵ 2x² = 72
→ Divide both sides by 2
∴ x² = 36
→ Take √ for both sides
∴ x = 6
∴ The value of x is 6
Write an equation for the nth term of the arithmetic seqeuence. Then find a10 100,110,120,130...
The 10th term of this arithmetic sequence 100,110,120,130... is 190.
What are arithmetic and geometric sequence?An arithmetic sequence is a set of numbers in which every no. next to the previous number has the same common difference
d = aₙ - aₙ₋₁ = aₙ₋₁ - aₙ ₋₂.
In a geometric sequence numbers are written in the same constant ratio(r).
It means every next number is a multiple of a common constant and the previous number.
r = aₙ/aₙ₋₁ = aₙ-₁/aₙ₋₂.
Given, An arithmetic sequence 100,110,120,130...
First term a₁ = 100, Common difference(d) = 130 - 120 = 120 - 110 = 10.
We know nth term of an arithmetic sequence is aₙ = a₁ + (n - 1)×d.
aₙ = 100 + (n - 1).10.
aₙ= 100 + 10n - 10.
aₙ = 10n + 90
So, the 10th term a₁₀ = 100 + (10 - 1).10 = 100 + 90 = 190.
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20. The Sanchez family wants to rent a boat for fall break.
Grand Canyon Boat Rental's is offering a boat for $25
per day and a $90 non-refundable deposit.
Superstition Boat's is offering a boat for $40 per day
and a $35 non-refundable deposit.
If the Sanchez family is planning on renting the boat for 6
days which company should they choose?
Answer:
superstition boat's
Step-by-step explanation:
25 x 6 + 90=240
40 x 6 + 35=275
(10-3)(-2)
giving brainlist out
Answer:
i think the answers 5
Step-by-step explanation:
Answer:
-14
Step-by-step explanation:
(10-3)(-2)
(7)(-2)
-14
0.000603 in scientific notation
What is the solution set for -4x - 10 <2?
Answer:
x>-3
Step-by-step explanation:
-4x<12
x>12/-4
Answer? Need it quickly
The
table shows the lengths of four
trails at a horseback riding camp.
Estimate the total length of all the
trails. Show your work.
A. 2.6 B. 1.8 C. 4.2 D. 3.3
Answer:
Its not possible to solve without the actual table.
Step-by-step explanation:
-6 < -3; Divide both sides by -3
here is another question prove how smart you are
Answer:
The result would be 2 > 1 because when you divide both sides, the < has to be flipped around
help anyone?! please
Answer:
Step-by-step explanation:
-3,5
,5,0
The coefficient of x in 3 x y^3 z^3 p is (Where ^ stands power)
Answer:
the coefficient of x is 3. I hope this helps you.
plzzzzzzzzzzzzzzzzzzzzzzzzz
Answer:
Exact rule : 77
Approximate rule : 80
Step-by-step explanation:
Mrs. Hidalgo paid $30 for 4 students to visit an art museum. Find the cost for 20 students.
Answer:
The cost for 20 students would be $120
Step-by-step explanation:
We know that 4x5=20 therefore we will multiply 30x4 which will give us 120.
Our final answer would be $120
Select the Correct answer.
I can't see anything it is full black
Please help!! Will appreciate. If you don’t know/ unsure don’t answer please
Answer:
The correct answer is graph B.
Hope This Helps! Sorry for late answer!
Answer:
its A because because the slope of the y-intercept is on the possative base towards the iquantities which is to be a posative number, in that case the y-intercept adds a 1 to the x which would lead towards the negative side therefor your answer will be y < -x -2
Step-by-step explanation:
Hopefully this helped, if not HMU and I will try my very best to get you a better answer!
Have a wonderful day! :)
And if you need help with anything, im here :)
Find the value of x. Then find the measure of each labeled angle.
X
(x-44)
x =
(x - 44)° = 11
Answer:
x=55
Step-by-step explanation:
Evaluate. (-5/2)^2 I totally forgot how to do this
Answer:
25/4
Step-by-step explanation:
[tex] \bigg( - \frac{5}{2} \bigg)^{2} = \bigg( \frac{5}{2} \bigg)^{2} = \frac{ {5}^{2} }{ {2}^{2} } = \frac{25}{4} \\ [/tex]
The equation for the cost in dollars of producing computer chip is y = .000015x^2 - .03x +35. Where X is the number of chips produced. Find the number of chips that minimizes the cost. What is the cost for that number of chips?
Answer:
The equation for the cost in dollars of producing computer chips
The equation for the cost in dollars of producing computer chips is C = 0.000015x^2 - 0.03x + 35, where x is the number of chips produce. Find the number of chips that minimizes the cost.
Step-by-step explanation:
Jeremiah's retirement party will cost $16 if he invites 4 guests. What is the maximum number of guests there can be if Jeremiah can afford to spend a total of $20 on his retirement party? Solve using unit rates.
Answer:
5 guests
Step-by-step explanation:
Jeremiah party will chat $16 if he invites 4 guest
The first step is to calculate how much it will cost to feed one guest
$4 = 16 guests
1 guest= 16/4
1 guest = $4
Therefore if Jeremiah can afford to spend $20 then the maximum number of people that will be present can be calculated as
$4 = 1 guest
$20= 20/4
= 5 guests
Hence the maximum number of guest is 5 guests
Camilla baked 15 cookies with 3 scoops of flour. How many scoops of flour does Camilla need in order to bake 20 cookies? Solve using unit rates.
Answer:
camilla needs 4 scoops of flow because 3 is related to 15 bc "5x3=15" and that gives us to only need 1 more cup to get 20 cookies
HELP PLEASEE! A family of four decides to buy a new computer that they will all share the computer cost them 1250 which means it will reduce the household budget by -1250 if there’s cost gets shared equally across all four family members how much does each person end up paying?
Answer:
$ 312.5 each member.....
Answer:
Each member of the family should pay 312.5Step-by-step explanation:
You should only divide 312.5 by 4 = 312.5I hope I helpedThe Jackson's dinner cost $125. They left $21.25 as a tip. What was the percentage of the tip? Please explain and help me! THANK YOU!!!
Answer:
17%
Step-by-step explanation:
to find the percentage of something, you have to fill out the following formula:
x/100 = 21.25/125. Basically that is saying that some percent out of 100 is equal to 21.25 out of 125. To solve that, you have to cross multiply:
125x = 2125
then you have to divide, to single out x:
the answer is 17
so it is 17%
How do linear and exponential functions compare over time?
Answer:
Exponential Functions
In linear functions, rate of change is constant: as x goes up, y will go up a consistent amount. In exponential functions, the rate of change increases by a consistent multiplier—it will never be the same, but there will be a pattern.
Is it A, B, C, or D?
9514 1404 393
Answer:
(D) -1.3 + 1.9
Step-by-step explanation:
The number being subtracted in the given expression is -1.9. The opposite of that number is +1.9.
If we are to show equivalence of subtraction and adding the opposite, we expect to do so with ...
[tex]-1.3-(-1.9)=\boxed{-1.3+1.9}[/tex]
This is not a choice that is presented in this problem statement, so we suppose it is D (not shown).
What is the 6th term in the arithmetic sequence below?
-2,5, 12, 19, 26, -, ...
A. 33
B. 34
C. 7
D. 8
2. Consider the following graph of a quadratic function.
a Doline the domain
b. Define the range
c. Where is the graph increasing
d. Where is the graph decreasing
. Identify any relative maximums.
1 Identily any relative minimums
10 points!!!
Answer:
Domain is all real numbers.
Range is -3 to infinity that is y >= -3 (that is y -3)
Increasing from x > -4 ( that is from -4 to +infinity) that is to right of -4
Decreasing from x <-4 (that is -infinity to -4) that is to left of -4
This has a minima at x= -4 with y= -3. We can write as (-4, -3)
Maxima is not there as it is going to infinity
Step-by-step explanation: