For an equality, whether multiplying by a positive or a negative number, the equality is maintained.
For an inequality, multiplying (or dividing) by a negative number requires that the inequality sign be reversed. When multiplying (or dividing) by a positive number, the inequality sign remains as it was.
What is the vertex of the graph of the function f(x) = x2 − 4x?
Answer:
(2, -4).
Step-by-step explanation:
x^2 - 4x
= (x - 2)^2 - 4.
So the vertex is at
(2, -4).
Answer:
(2,-4)
Step-by-step explanation:
x²-4x
First, we need to complete the square of this quadratic.
1) Half the coefficient of x and subtract it (depends on the sign) from x. Then, square the whole expression.
(x-2)²
2) If this was to be expanded as a double bracket, we would acquire:
x²-4x+4
In order to achieve the form above, we need to subtract 4. This can be found quickly by subtracting the square of the integer from the bracket. (Ignore the sign when squaring here.)
(x-2)²-4 ------>This is in the completing the square from.
From this, the vertex is determined by using the opposite sign of the number in the bracket for the [tex]x[/tex] coordinate and the outside number is kept constant for the [tex]y[/tex]. Note that, in graph transformations, the number inside the brackets is the "opposite of what you expect"; the same logic is applied here.
Therefore, the vertex is (2,-4)
divide four into twelve
Answer:
3
Step-by-step explanation:
Four circles and 12 dots, divide them equally into the circles.
Answer:
3
Step-by-step explanation:
It's kinda like multiplying 3 and 4 then get 12
What is the period of y=2cos(3x-2(3.14))?
A. 3(3.14)
B. 6(3.14)
C. 3(3.14)-2
D. 3(3.14)/3
Answer:
the correct answer is B
Step-by-step explanation:
I got it correct on 2021 edge
which year in the 18th century was a perfect square
Answer:
THE dates dec. 6 1729, and june 4 1764 were the only two perfect square dates in the 18th century
which numbers belong to the solution set of the inequality x+6=45
Please Answer this (mathematics)
Answer:
50.21, 50.12, 50.102,50.021
the last one
Step-by-step explanation:
sorted into descending order
x-40+9x-5 simplified
Answer:
your answer would be 10x-45
Step-by-step explanation:
don’t get it. someone help. algebra 1!
Answer:
+2
Step-by-step explanation:
Please help me answer these questions and explain why... I will mark you brainliest and rate you five stars
How you calculate this is this:
So, any two given sides much be greater than the other side.
7. The answer is no. 1 plus 5 is 6 right? 6 is less than 11, so it can never be a triangle.
8. The answer is yes. 3 plus 6 is greater than 7. 3 plus 7 is greater than 6. 6 plus 7 is greater than 3.
9. The answer is yes. 9 plus 11 is greater than 12. 9 plus 12 is greater than 11. 11 plus 12 is greater than 9.
PLS HELP ME IMMA CRY ONG
Since on the left, the top number is 2 less than the bottom number and on the right side, the top number is 2 less than the bottom number, you can conclude that s = 55.
Answer: 55
Step-by-step explanation:
I let Math- way do it
The manager of a 100-unit apartment complex knows from experience that all units will be occupied if the rent is $500 per month. A market survey suggests that, on average, one additional unit will remain vacant for each $10 increase in rent. What rent should the manager charge to maximize revenue?
Answer:
750$
Step-by-step explanation:
lets say the increase is x times 10$. it means manager asks for (500+10x) and earns it from (100-x) apartments. Revenue will be the product of the two:
[tex](500 + 10x)(100 - x) = 50 \: 000 - 500x + 1 \: 000x - 10 {x}^{2} = 50000 + 500x - 10 {x}^{2} [/tex]
its a parabola, and its maximum is on the vertex, or at
[tex]x = - \frac{b}{2a} = - \frac{500}{ - 20} = 25[/tex]
so he should add 10$ 25 times, or ask 750$
A system of equations is shown. x = 10 3x + 5y = 20
Answer:
(10, - 2 )
Step-by-step explanation:
x = 10 → (1)
3x + 5y = 20 → (2)
Substitute x = 10 into (2)
3(10) + 5y = 20
30 + 5y = 20 ( subtract 30 from both sides )
5y = - 10 ( divide both sides by 5 )
y = - 2
solution is (10, - 2 )
what’s 4x+9-x-3x=9 ?
Answer:
x=0
Step-by-step explanation:
4x+9-x-3x=9
4x-x-3x=9-9
0x=0
x=0
Find the length of the third side. If necessary, round to the nearest tenth.
What is 2x + 45?
Plz help, Wanna T.a.l.k?
Answer:
It is linear
Step-by-step explanation:
I don't know if you needed it graphed or what was needed to solve your question
what’s the answer to this?
Rearrange to make x the subject
4(x-3) =y
pls help
In a company, the ratio of the number of men to the number of women is 3:2 40% of the men are under the age of 25 10% of the women are under the age of 25 What percentage of all the people in the company are under the age of 25? %
Answer: Percentage of all the people in the company are under the age of 25=x
Step-by-step explanation:
We have to use the weighted average.
x=(Σwi * vi )/Σ wi
w₁=3
w₂=2
v₁=40%
v₂=10%
x=[3(40%)+2(25%)] / (3+2)=34%
Solution: 34% of all people in the company are under the age of 25.
Need 1 and 2 answered please.
Answer:
mark me brainliest bro
Step-by-step explanation:
haha daisuki haha
F = 1.8 C + 32
(a) Work out the value of F when C = -8
Answer:
17.6°
Step-by-step explanation:
1.8x-8=-14.4
-14.4 + 32= 17.6°C
work out the size of angle x
Answer:
66 degrees
Step-by-step explanation:
All angles together equal 180.
79 + 35 = 114
180 - 114 = 66
or
180 - (79 + 35) = 66
I hope that this helps!
Please help make sure to show your steps too, please
Answer:
Slope = -2
Step-by-step explanation:
Given the two points, (-4, 10) and (0, 2), the error in the given problem is the incorrect substitution of values into the formula. It should have been formatted as follows:
Let (x₁, y₁) = (-4, 10)
(x₂, y₂) = (0, 2)
The formula for solving for the slope of the line is:
m = (y₂ - y₁)/(x₂ - x₁)
where m represents the slope of the line.
Substitute the given values into the formula to solve for the slope:
m = (y₂ - y₁)/(x₂ - x₁)
[tex]m = \frac{2 - 10}{0 - (-4)}[/tex]
[tex]m = \frac{-8}{0 + 4 }[/tex]
m = -8/4
m = -2
Therefore, the slope of the line is -2.
Cost $95 markup rate: 50%
PLS ANSWER THIS WITH AN EXPLANTION AND THE ANSWER 10 POINTS *PLS I NEED AN EXPLANTION (DONT ASK WHY THIS IS IN ALL CAPS) *ITS IN ALL CAPS SO YOU GUYS A SEE THIS CLEARLY*
PLEASE LAST ONE HELP!!!
Answer:
JKN and ONK
Step-by-step explanation:
Hope this helps :)
a pile of 10 000 sheets of paper is 89 cm thick. how thick is 1 sheet of paper.
Answer:
1 sheet is 0.0089 cm thick.
Step-by-step explanation:
10000 sheets of paper is 89 cm thick
=> 1 sheet of paper is 89 ÷ 10000 = 0.0089cm thick
Pls do this for me thx
m<S is 20°..........
.........
Mr. Kelly is 7 years younger than five times Reem's age. The sum of their ages is 77. How old is
Mr. Kelly?
Answer:
14 y/o
Step-by-step explanation:
assuming that Reem's age is X y/o,
Kelly's age= 5x - 7
according to the question,
(x)+(5x - 7) = 77
or, 6x= 77+7
or, x= 84/6
therefore, x= 14
May I please receive help?
Answer:
74 meters
Step-by-step explanation:
1. A shopkeeper buys a stove from a manufacturer. The shopkeeper sells the stove for $2700 at a profit of 25%.
(a) What is the cost price of the stove to the shopkeeper from the manufacturer? (4 marks)
(b) If the shopkeeper gives a 15% discount for cash, how much money does a customer pay for the stove?
Answer:
a.divide the amount by the percentage.
$2700× 25%
Ans:$675
subtract the selling price from the profit.
$2700 - $675
Ans:$2025
b.divide the 15% from selling price.
$2700 × 15%
Ans: 405
deduct the selling from from the discount given.
$2700 - $405
Ans: $2,295
A tree that was 30 meters high was broken so that the broken part was 7 times the length of the part that was left
standing. Find the length of each part.
Please help step by step please
Answer:
Broken = 7x
Step-by-step explanation:
Left = x
x(7x) = 30
(7x² = 30)⅐
x² = 4.285
√x² = √4.285
x = 2.07
Left = 2.07 meters
Broken = 7 x 2.07 = 14.49 meters
i hope this is correct!
good luck on ur test!