Answer:
[tex]Minimum = (5,7)[/tex]
No maximum
Step-by-step explanation:
Given
[tex]f(x) = 0.9|-(x - 5)| + 7[/tex]
Solving (a): The minimum
The minimum is when the absolute parameter gives 0
i.e.
[tex]0.9|-(x - 5)| =0[/tex]
Divide both sides by 0.9
[tex]|-(x - 5)| =0[/tex]
Open bracket
[tex]|-x + 5| =0[/tex]
Remove absolute sign
[tex]-x + 5 =0[/tex]
Collect like terms
[tex]x = 5[/tex]
Then the y value is:
[tex]f(x) = 0.9|-(x - 5)| + 7[/tex]
Recall that: [tex]0.9|-(x - 5)| =0[/tex]
So, we have:
[tex]f(x) = 0 + 7[/tex]
[tex]f(x) = 7[/tex]
Hence, the minimum is at: [tex](5,7)[/tex]
Since the minimum is at [tex](5,7)[/tex], then the graph will open upwards.
Hence. the function has no maximum; i.e.
[tex]Maximum = (\infty,\infty)[/tex]
the sum of the first n terms of a sequence is 20 - 10 / 2 ^ n - 1 find the sum of the first five terms
Answer:
[tex]S_5=\dfrac{170}{9}[/tex]
Step-by-step explanation:
Given that,
The sum of first n term of a sequence is[tex]S_n=20-\dfrac{10}{2n-1}[/tex]
We need to find the sum of the first 5 terms.
Put n = 5,
[tex]S_5=20-\dfrac{10}{2(5)-1}\\\\=20-\dfrac{10}{10-1}\\\\=20-\dfrac{10}{9}\\\\=\dfrac{170}{9}[/tex]
So, the sum of first 5 terms is equal to [tex]\dfrac{170}{9}[/tex].
Solvex - 7x - 34 = 10 halo pls helppppppp
Answer:
x-7x-34=10
-6x-34=10
Step-by-step explanation:
x=-22/3
How many ways can you order a hamburger if you can order it with or without cheese, ketchup, mustard, bacon, mayo, or lettuce?
1. 66
2. 69
3. 64
4. 68
Answer:
64
Step-by-step explanation:
2x2x2x2x2x2 = 64
A certain forest covers an area of 3600km^2. Suppose that each year this area decreases by 6%. What will the area be after 8 years?
Answer:
= 1728km2
Step-by-step explanation:
From the formula A = PRT/100%
Where; A is final
P is initial
T is time taken
R is the rate
Therefore A = 3600 × (6/100) × 8
= 1728km2
Helpppppp and explain pls
Answer:
option e
Step-by-step explanation:
It should be arranged in table form
Row ------> Classes
Column -----> Courses
Sophomores Juniors Seniors
Biology 110 60 20
Chemistry 50 140 85
Physics 17 70 107
the 3 three questions
Answer:
Step-by-step explanation:
#2 Should be many to one; the reason for this is when doing functions a proper one will have one input to one output.
#3 Should be D; same reasoning as above.
And sorry I am at a loss for #1.
use the figure at the right the complete inequality statements
What is the square root of -1
Answer:
i.
Step-by-step explanation:
.
Answer:
[tex]\sqrt{-1}=i[/tex]
The square root of -1 (i)
---------------------------------
~HOPE IT HELP
~HAVE A GREAT DAY!!
Which expressions are equivalent to the one below? Check all that apply.
7*3.7^x
A. 73-*
B. 493x
C. 343.7
D. (7.7)3
E. 73x
F. 73 + x
Answer: ur answer is correct ❤️
Step-by-step explanation:
Pls help plz help pls plz help plz plz help
Answer:
The first choice, Equation A and equation C.
Step-by-step explanation:
The lines A and C are intersecting in the point (0,8). That is the solution for those lines.
At a school concert the total value of tickets sold was $4452. Student tickets sold for $8 and adult tickets sold for $12. The number of adult tickets sold was 7 less than 4 times the number of student tickets. Find the number of student tickets sold.
Answer:
there is 81 student and 317 adults adults :) got u
Step-by-step explanation:
4452 = 8n + (4n-7)12
4452 = 8n + 48n - 84
4536 = 56n
81 = n
Rewrite the following expression using the properties of rational exponents. Be sure your answer is in simplest form.
Answer:
12^(3/2)
Step-by-step explanation:
(2x6)^3/2
2x6=12
12^3/2= 41.5692193817
According to the number line, what is the distance between points A and B?
0 6 units
7 units
O 12 units
O 14 units
Answer:
14 units
Step-by-step explanation:
A = - 2, B = 12
Therefore,
d(A, B) = 12 - (-2) = 12 + 2 = 14 units
Nicole invested $1600 in an account that pays 4.75% interest compounded annually Assuming no deposits or withdrawals are made, find how much money Nicole would have in the account 18 years after her initial investment. Round to the nearest tenth (if necessary ).
Answer:
2968
Step-by-step explanation:
Ifm22 = 115°, what is m21?
Answer:
Step-by-step explanation:
Could anyone help me solve for x? I've tried multiple times and can't seem to get the answer that was given
Step-by-step explanation:
Try Photo-math app or Math-way app.
Describe what a vaccine is made of and how it helps prevent infection.
Answer:
Vaccines are made of mixtures that contain either parts of pathogens or whole pathogens that prepare the body's defenses to fight against the pathogens.
hope it helps.
stay safe healthy and happy...Answer:Vaccines are made of mixtures that contain either parts of pathogens or whole pathogens that prepare the body's defenses to fight against the pathogens.
Step-by-step explanation:
GIVE AN EXPLANATION PLEASE! 20 POINTS!! AND A BRAINLEEST IF TWO OR MORE PEOPLE HAVE ANSWERED IT. (FIRST COME FORST SERVE BASES + ANSWER HAS TO BE CORRECT)
Lily bought a pair of gloves and a shirt.
The gloves cost £4
She sold the gloves and the shirt for a total of £48
She made 100% profit on the cost of the gloves.
20% profit on the total cost.
Work out her percentage profit on the cost of the skirt.
Answer 1 decimal place.
witw6oweo6ssitsi5sutaurzhfztzjxisi5
A cyclist travels 5 miles in 15 minutes.
What is her average speed in mph?
What is the sum of the 15th square number and the 5th cube number?
The sum of the 15th square number and the 5th cube number is 350.
The 15th square number will be:
15² = 15 × 15
= 225
The 5th cube number will be:
5³ = 5 × 5 × 5
= 125
The sum of the numbers will be:
225 + 125
= 350
Therefore, we get that, the sum of the 15th square number and the 5th cube number is 350.
Learn more about sum here:
https://brainly.com/question/17695139
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Two square based pyramids are joined, total volume is 2700mm, perpendicular height 16mm on top pyramid and 20mm on the other, joint base has length and width of x, find x. Please help me..
Answer:
15 mm
Step-by-step explanation:
Since both pyramids are joined together, this means that the base of the pyramid which is a square have the same dimensions.
Let the length and width of the base be x, hence the dimension of the base is x mm by x mm.
For the first pyramid, the volume is:
V₁ = a²h₁/3; where a is the length of the square base, h₁ is the height.
Since the pyramid has a height of 16 mm, hence:
V₁ = 16x²/3
the second pyramid, the volume is:
V₂ = a²h₂/3; where a is the length of the square base, h₂ is the height.
Since the pyramid has a height of 20 mm, hence:
V₂ = 20x²/3
Since the total volume (V) of the pyramid is 2700 mm³, hence:
V = V₁ + V₂
V = 16x²/3 + 20x²/3
2700 = 16x²/3 + 20x²/3
2700 = 36x²/3
36x² = 8100
x² = 225
x = 15 mm
1) Find the measure of 0. (imagine that is an x) 2) Then, find the measure of AB. (the length from A to B)
Answer:
θ ≈ 50°, AB ≈ 15.6
Step-by-step explanation:
Using the tangent ratio in the right triangle
tanθ = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{11.9}{10}[/tex] = 1.19 , then
θ = [tex]tan^{-1}[/tex] (1.19 ) ≈ 50° ( to the nearest degree
-----------------------------------------------------------------
Using the cosine ratio in the right triangle
cos50° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{10}{AB}[/tex] ( multiply both sides by AB )
AB × cos50° = 10 ( divide both sides by cos50° )
AB = [tex]\frac{10}{cos50}[/tex] ≈ 15.6 ( to 1 dec. place )
WILL GIVE BRAINLIEST AND 20 POINTS!
PLEASE SHOW WORK1
f={(−2,−5),(3,−1),(1,−1)} and g={(1,1),(−1,−2),(−4,1),(−3,−1)}
Find (f+g)(1).
Answer:
[tex](f+g)(1)=0[/tex]
Step-by-step explanation:
We are given that:
[tex]\displaystyle f=\left\{(-2, -5), (3, -1), (1, -1)\right\}\text{ and } \\ \\ g = \left\{(1, 1), (-1, -2), (-4, 1), (-3, -1)\right\}[/tex]
And we want to find the value of (f + g)(1).
Recall that this is equivalent to:
[tex]=f(1)+g(1)[/tex]
According to the set, f(1) = -1 and g(1) = 1. Hence:
[tex]=(-1)+(1)=0[/tex]
Which is the graph of the equation y-1=- f (x-3)?
At what rate of simple interest a certain sum will be doubled in 15 years?
Answer:
6.66 % per year.
Step-by-step explanation:
Hope it help you
Answer:
66 percent per year
Step-by-step explanation:
I hope this will help you
pls add me as brainliest.
Help me find answer please very much lost and its a test:(((will give brainiest or w.e it is
Answer:
x = 8
Step-by-step explanation:
Recall: according to the exterior angle theorem of a triangle, the sum of two interior angles equals the measure of the exterior angle it is opposite to.
m<MNO = (5x + 2)° => exterior angle of ∆LMN
m<NLM = (x + 10)° => interior angle of ∆LMN
m<LMN = (x + 16)° => interior angle of ∆LMN
Therefore:
m<MNO = m<NLM + m<LMN (exterior angle theorem of triangle)
Substitute
5x + 2 = x + 10 + x + 16
Add like terms
5x + 2 = 2x + 26
Collect like terms
5x - 2x = -2 + 26
3x = 24
Divide not sides by 3
x = 24/3
x = 8
Solve for x. Round to the nearest tenth of a degree, if necessary.
Answer:
X=39.3
Step-by-step explanation:
Cos=adjacent/hypotenuse
Cosx=6.5/8.4
X=arccos(6.5/8.4)
X=39.3° rounded from 39.302°
A rectangular piece of paper has an area of ⅓ square meter. If the length of the paper is ⅗ meter, what is the breadth of the paper?
Answer: [tex]\frac{5}{9}\ m[/tex]
Step-by-step explanation:
Given
Area of the rectangular piece of paper is [tex]A=\frac{1}{3}\ m^2[/tex]
Length of the paper is [tex]l=\frac{3}{5}\ m[/tex]
Suppose width of the paper is [tex]w[/tex]
Area is the multiplication of length and width
[tex]\therefore A=lw\\\\\Rightarrow \dfrac{1}{3}=\dfrac{3}{5}\times w\\\\\Rightarrow w=\dfrac{5}{9}\ m[/tex]
Thus, the width of the paper is [tex]\frac{5}{9}\ m[/tex]
what is the solution 2/3x+3 x=-2
Answer:
5/3 or 0.666666666667
Step-by-step explanation:
2/3*(-2)+3
5/3 or 0.666666666667 (Solved by calculator)
could someone help im really bad at polynomials
Answer:2x^2 + 7x - 30
Step-by-step explanation:
1. x(2x-3)(x+3)^2
2. x(2x-3)(x+10)
3. 2x^2+10x-3x-30
4. 2x^2+7x-30
