The critical points for the inequality x²-5x+6 is x= 2 and x = 3.
What is critical point?In calculus, a critical point of a function is a point where the derivative of the function is either zero or undefined.
These points are important in determining the maximum and minimum values of a function, and can also help identify points of inflection and other important features of a curve.
To find the critical points for the inequality x²-5x+6, we need to find the values of x that make the expression equal to zero (i.e., the roots of the quadratic equation).
We can factor the expression as (x-2)(x-3) and set each factor to zero to find the critical points:
x-2 = 0 or x-3 = 0
x = 2 or x = 3
So the critical points are x = 2 and x = 3.
Therefore, the answer is x= 2 and x = 3.
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Find the area of the kite shown.
A) 20 cm²
C) 42 cm²
B) 40 cm²
D) 84 cm²
Answer:
A
Step-by-step explanation:
the area (A) of a kite is calculated as
A = [tex]\frac{1}{2}[/tex] × d₁ × d₂ ( d₁ and d₂ are the diagonals )
here d₁ = 2 + 2 = 4 and d₂ = 3 + 7 = 10 , then
A = [tex]\frac{1}{2}[/tex] × 4 × 10 = 2 × 10 = 20 cm²
Answer:
A) 20 cm^2
Step-by-step explanation:
Area of a kite is the product of the 2 diagonals divided by 2.
= (4*10)/2
= 20
A bag contains 8 blue marbles, 6 green marbles, 12 yellow marbles, and 10 orange marbles. A marble is drawn at random
bag
What is the probability that the marble drawn will not be blue?
2/9
3/4
7/9
7/8
Answer:
Probability of anything =
(number of possible successful outcomes)
divided by
(total possible number of outcomes) .
There are 36 total marbles in the bag, so there are 36 total
possible outcomes of one draw.
The successful outcomes are all the possible draws that are
not blue. There are 28 of those.
So the probability of a non-blue selection is
28/36 = 7/9 = 77.8% (rounded)
Step-by-step explanation:
Answer:
The probability that a marble ball drawn will not be blue is
[tex] \frac{7}{9} [/tex]
714 divided by 7
this will really help me!
(im bad at division)
Answer:
102
Step-by-step explanation:
So 714 divided by 7 = 102
Find the sum of the first 8 terms of the geometric sequence that begins: 12, 18, 27, ...
Answer:
times it bye 1.5 to get the next 8 terms
Step-by-step explanation: divide them all so 27.18 and 18/12 that will give you the same two answers thats what you times bye to get the next terms
Charles has 24 marbles. He has 6 more marbles than blue marbles. Which equation represents this situation.
LOOK AT THE PICTURE BELOW!
Answer:
n + (n + 6) = 24.
Step-by-step explanation:
Let him have n blue marbles, then he has n + 6 other narbles.
He has a total of 24 marbles, so:
n + (n + 6) = 24.
Answer:
B) n + (n + 6) = 24, where n is the blue marbles
Step-by-step explanation:
^^
HELPPPPP I NEED TO FINISH THIS MATH HOMEWORK BUT IM STUCK ON A QUESTION ( its number 4 not the one above)
Answer:
$27.85
Step-by-step explanation:
I think what it means by outstanding charge is that there is something else he also needs to pay that he hasn't input yet. So, going off of that logic,
20+7.85 = 27.85, to find the amount he should pay for both charges to not create another bank fee.
if this is a perfect square trinomial factor it
A: (x-6)^2
B: (x+6)^2
C: (x(6)(x-12)
D: it's not a perfect square trinomial
Answer:
Option B: [tex](x + 6)^2[/tex]
Step-by-step explanation:
Hello!
We can simply expand each option to find which one matches the trinomial [tex]x^2 +12x + 36[/tex]
A: (x - 6)²(x - 6)(x - 6)x² - 6x - 6x + 36x² - 12x + 36It does not match.
B:(x + 6)²(x + 6)(x + 6)x² + 6x + 6x + 36x² + 12x + 36Option B matches, so it is the right solution.
The ratio 5 girls to 3 boys in couris . there are 24 boys how many many girls are there
Answer:
40
Step-by-step explanation:
24 divided by 3 is 8. 8 multiplied by 5 is 40.
ANOTHER QUESTION! please help! will make branliest
Answer: Total: 10 3/4
Step-by-step explanation:
Which ordered pair is a solution of y=2x+5
(-2,1)
(-1,4)
(1,6)
(3,10)
question 2. write the product using exponents
[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]
Given expression ,
[tex] \frac{1}{8} . \frac{1}{8} .y.y.y \\ [/tex]
this can also be written as ,
[tex] \frac{1}{8} \times \frac{1}{8} \times y \times y \times y \\ \\ \longrightarrow \: \frac{y {}^{3} }{64} [/tex]
hope helpful ~
What percent of 4c in each expression?
0.2c
The percentage of 4c in the expression 0.2c is 2000%
How to determine the percentage of 4c?The expression is given as:
0.2c
The percentage of 4c is then calculated as:
4c/0.2c
Evaluate the quotient
20
Express as percentage
2000%
Hence, the percentage of 4c in 0.2c is 2000%
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Part B: Your cell phone and tablet use the same account. The cell phone costs $0.10 for
each minute of use and the tablet costs $0.15 for every minute of use. Each month, you
want to only spend up to $450 and use less than 5,000 minutes on both of the devices.
Now, create a system of inequalities using the above information (use x and y as the
variables).
please help me ill mark you brainliest
The inequalities are x + y < 5000 and 0.10x + 0.15y ≤ $450 which shows each month, you want to only spend up to $450 and use less than 5,000 minutes on both of the devices.c
What is inequality?It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than, known as inequality.
Let's suppose the total minutes for cell phone is x
and total minutes for tablet is y
Then total minutes will be:
x + y < 5000 (less than 5,000 minutes on both of the devices)
And total cost:
0.10x + 0.15y ≤ $450
Thus, the inequalities are x + y < 5000 and 0.10x + 0.15y ≤ $450 which shows each month, you want to only spend up to $450 and use less than 5,000 minutes on both of the devices.
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Round your answers to the nearest tenth.
B
a
15
b
47°
B =
a =
b =
Answer:
B = 43°
a = 11.0
b = 10.2
Step-by-step explanation:
The relationship between side lengths and trig functions in a right triangle is summarized in the mnemonic SOH CAH TOA. It tells you, for example, ...
Sin = Opposite/Hypotenuse
Cos = Adjacent/Hypotenuse
__
Applied to this triangle, the unknown sides can be found from ...
sin(47°) = a/15
a = 15·sin(47°) ≈ 11.0
and
cos(47°) = b/15
b = 15·cos(47°) ≈ 10.2
__
The second acute angle in a right triangle is the complement of the first:
B = 90° -47° = 43°
find the surface area of the cube
Janet can make 3/4 of a necklace in 10 minutes. At this rate, how many necklaces, to the nearest tenth of a necklace,can janet make in 1 hour?
SHOW WORK
Answer: 2.3
Step-by-step explanation:
Janet can make 3/4 of a necklace in 10 minutes.
We need to find how many necklaces she can make in 1 hour.
1 hour = 60 minutes
We can rewrite it as:
1 hour = 3*(20 minutes)
So Janet can create three 3/4 necklaces in 1 hour
Therefore, the total necklaces Janet can make in 1 hour = 3*(3/4) = 9/4 = 2.25
To the nearest tenth of a necklace = 2.3 necklaces
In the diagram,
B (5,9)
A (2,3)
the points A, B and C lie on the straight line y = 2x-1
The coordinates of A are (2, 3).
The coordinates of B are (5, 9).
Given that AC = 3AB, find the coordinates of C.
0
y=2x+1
C
Answer:
C = (11, 21)
Step-by-step explanation:
The relation AC = 3AB can be used to find the coordinates of C given those of A and B.
__
C -A = 3(B -A)
C = 3B -2A . . . . . add A to both sides
C = 3(5, 9) -2(2, 3) = (15 -4, 27 -6) . . . . use the given points for A and B
C = (11, 21)
Find the slope of every line that is perpendicular to this one
Answer:6-
Step-by-step explanation:
The net of a cone is composed of a circle and a
triangle
wedge
triangle
Answer:
I would say triangle. But I am not completely sure!
Step-by-step explanation:
Hope this helps!
Answer:Triangle
Step-by-step explanation:
#89 will give brainliest for best answer!
Answer:
Median: 11
Range: 12
25th Percentile: 9
75th Percentile: 14
Interquartile Range: 5
Step-by-step explanation:
The median is the line in the 'middle' of the box. The range is the largest number minus the smallest number. 25th Percentile is the first line of the box, 75th is 3rd line. IQR is the 75th Percentile - 25th Percentile.
Hope this helps! :)
Consider the graph of the functions f (x) and g (x)
Whats the solution to the equation f (x) = g (x)
A. x=3
B. x=4
C.x=5
D. x-6
Answer:
(5,4)
Step-by-step explanation:
What is the solution of two function?
The solution of a system of equations is simply where the value of x ( input ) creates an output ( y value ) equal to each other regarding the two functions.
How do identify the solution via graph.
We can identify the solution of a system of equations via graph by looking at where the two functions intersect.
Identifying the solution.
Looking at the graph, the two lines intersect at (5,4)
The answer choices are asking for the value of x of the solution which would be 5 as x = 5 in (5,4)
The rule is
If two lines are graphed then their solution is their intersection point .
Here both f(x) and g(x) are intersecting at
(5,4)So (5,4) is solution
Option C is correct
-3(x + 9) = 15
Enter value for x
Answer:
x = -14
Step-by-step explanation:
-3(x + 9) = 15Divide each side by -3.
-3(x + 9)/-3 = 15/-3x + 9 = -5Subtract 9 from each side.
x + 9 - 9 = -5 - 9x = -14Answer:
x = -14
Step-by-step explanation:
-3(x + 9) = 15
-3 × x + -3 × 9 = 15-3x + (-27) = 15+27 on both sides-3x = 42[tex] \frac{ - 3x}{ - 3} = \frac{42}{ - 3} [/tex]x = -14What is -8.2 ÷ 4.32 = ?
Answer:
-8.2 / 4.32 is an infinite nummber but an aproximate is -1.9 or -2
Step-by-step explanation:
A mining company is mining silver. The relationship between the mass of the material mined in metric tons and the number of carts required to transport the material is given by the function V(n) = 0.5n. Additionally, the relationship between the amount of silver and the material mined is given by the function G(V) = 0.00001V.
Which function can be used to determine the mass of silver in metric tons as a function of the number of carts required to transport the materials out of the mine?
A)G(V(n))
B)V(G(n))
C)n(G(V))
D)n(V(G))
Answer:
G(V(n))
Step-by-step explanation:
As V(n)=0.5nWhere V is carts and n is material
So vRnAnd
G(v)=0.00001VWhere G is silver found and v is material
GRvOn combininf
GRv =>(G,v)€RVRn=>(v,n)€RSo as per transitive property
GRn=>( G,n)€RR is relation
G is related to n
So G will stay outside and the relationship become GoV(n)
Write the number shown in standard notation. 1.02 x 10 A. 1,020,000 B. 102,000,000 C. 102,000 D. 10,200,000
i think its c
Step-by-step explanation:
don't count me on this
Your answer should be A please mark brainlest
#10 AH IM STUCK ON THIS ITS HARD HELP
Answer:
4.8 in
Step-by-step explanation:
feet to inch conversion is *12
2 * 12 = 24
then divide the scale (for every 1 in on the model there is 5 in on the actual, so divide the actual value by 5)
24/5 = 4.8
your answer is 4.8 in
hope this helps:)
6 cookies cost $3.60. What is the cost of 20 cookies?
Answer:
20 cookies - $ 12
Step-by-step explanation:
6 cookies - $3.60
20 cookies - X
X = (20 · 3,60) : 6
X = $ 12
Answer:
$12
Step-by-step explanation:
let the cost of 20 cookies= y
ok!!!
since 6 cookies ---------------$3.60
20 cookies will cost--------- y
making y subject
y= 3.60×20/6
y= 72/6=$12
therefore, 6 cookies will cost $ 12
a produce company is packaging tomatoes into boxes containing 8 tomatoes each. how many boxes do they need to package 416 tomatoes?
Answer:
5.75
Step-by-step explanation:
If
1 box = 8 tomatoes
x boxes = 46 tomatoes
1 = 8
x = 46
You cross multiply giving you
8x = 46×1
8x = 46
8x/8 = 46/8
x = 5.75
A coin is flipped 150 times the results of the experiment are shown below
Heads 84
Tails 66
Witch of the fallowing statements BEST describes the experimental probability of getting heads
Answer:
See below
Step-by-step explanation:
66 out of (84+66) = 66/150 = 11/25 experimental chance of heads
this is 6% LOWER than the theoretical chance of getting heads (which is 1/2).
can someone help me with this? thank you!
Answer:
240cm³
Step-by-step explanation:
To find our answer we will multiply the volume, width, and height.
4 · 20 · 3 = 240. Therefore, 240cm³ is our answer.
Have a good day!
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Let's calculate its volume ~
Volume of a rectangular prism is :
[tex]\qquad \sf \dashrightarrow \:v = l \cdot w\cdot h[/tex]
[tex]\qquad \sf \dashrightarrow \:v = 20 \cdot 4\cdot 3[/tex]
[tex]\qquad \sf \dashrightarrow \:v = 240 \: \: cm {}^{3} [/tex]
