Answer:
Pretty Sure its D!
Step-by-step explanation:
please, if you write an absurd anwser i will report it
a) The function is continuous in it's entire domain.
b) The increasing and decreasing intervals for the function are given as follows:
Increasing: (0,2).Decreasing: (2,10).What is the continuity concept?A function f(x) is continuous at x = a if it is defined at x = a, and the lateral limits are equal, that is:
[tex]\lim_{x \rightarrow a^-} f(x) = \lim_{x \rightarrow a^+} f(x) = f(a)[/tex]
In this problem, we have a piece-wise function which has the definition changing at x = 2, hence the continuity must be studied at x = 2.
The lateral limits for the function in this problem are defined as follows:
[tex]\lim_{x \rightarrow 2^-} A(x) = \lim_{x \rightarrow 2} x^2 + 2 = 2^2 + 2 = 6[/tex][tex]\lim_{x \rightarrow 2^+} A(x) = \lim_{x \rightarrow 2} \frac{-3x + 30}{4} = 0.25(-3(2) + 30) = 6[/tex]The second limit is also equals to the numeric value at x = 2, due to the equal sign in the definition, hence the function is continuous at x = 2 and for all other values in the domain.
The intervals of increase and decrease are given as follows:
Increasing: (0,2). -> y = x² increases for x > 0, the 2 changes just the range.Decreasing: (2,10). -> decreasing line, due to the negative slope.TranslationThe function for this problem is the piece-wise function A(x).
Item a asks if the function is continuous.
Item b asks when the function is increasing and when it is decreasing.
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Solve the following mentally 65% of 100
Answer: 65
Step-by-step explanation:
Enter the distance between each pair of islands. Use
the sketch tool if it helps with your thinking.
Press I'Find the Coconuts" to check your work.
Island
Distance Between Islands
(miles)
A(10,10)
B(18,4)
C(25,-5)
9514 1404 393
Answer:
AB = 10
BC ≈ 11.40
Step-by-step explanation:
The distance formula is useful for finding distances between points.
d = √((x2 -x1)² +(y2 -y1)²)
AB = √((18 -10)² +(4 -10)²) = √(8² +(-6)²) = √100
AB = 10
__
BC = √((25 -18)² +(-5-4)²) = √(7² +(-9)²) = √130
BC ≈ 11.40
_____
A sketch tool can be useful for finding or checking the answer.
A scientist collects a bacteria sample that begins with 7 million microbes. The sample doubles in the number of microbes every 30 minutes. The sample can be represented by the exponential equation, y = 7⋅2^t/30. Which of the following represents the equation solved for t?
Answers:
A. 30log(14) = t
B. 30 log (y-7/2)=t
C. 30log2(y/7) = t
D. 30log14 y = t
Answer:
sooo like my dude i dont actually dont know
Step-by-step explanation:
so my dude might be A dont fricking know fricking idiot lol bozo
Answer: i think C
Step-by-step explanation:
help me i need help
what is 9/10-4/10
How many real solutions does this system of equations have? x²+y²=36
3x-y+1=0
A.0
B. 2
C. 3
D. 1
This system of equations have 2 real solution.
Do fractions actually solve problems?As a result, all of these numbers—rational and otherwise—as well as fractions are regarded as real numbers. Due to the decimal's ability to float within the numbers, real numbers with decimal points are known as floating point numbers. No whole number or integer can be a floating point number.
y = 3x + 1 is a solution to 3x - y + 1 = 0.
This line's y-intercept is represented by (0, 1). Plot this point inside the circle with radius 6 that was previously mentioned, and then draw a straight line through it with a slope of 3.
Two points where this line crosses the circle denote actual solutions.
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If you place a 21-foot ladder against the top of a building and the bottom of the ladder
is 12 feet from the bottom of the building, how tall is the building? Round to the
nearest tenth of a foot.
the price of a sandwich decreases from $8 to $6 what is the percentage decrease in the price of the sandwich
Answer:
The percentage decrease is 25%.
Step-by-step explanation:
The difference in price is $2:
$8 - $6 = $2
Now to find the percentage decrease, we use the formula decrease in price divided by original price (or new/old) times 100:
2/8 * 100.
This equals 200/800 which is 25%.
50 POINTS !!
PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.
=>(c)^2=(a)^2+(b)^2
=>(c)^2=(56)^2+(33)^2
=>(c)^2=3136+1089
=>(c)^2=4225
=>c=√4225
=>c=65 metre
Lindsay wishes she's she could have four times the amount of jelly beans Lisa has. Which expression shows Lindsay's wish?
A) 4 + b
B) 4 - b
C) 4 divided by b
D) 4b
Answer:
D) 4b
Step-by-step explanation:
please help with this i have to pass
Answer:
A ..
Step-by-step explanation:
What is the equation of the
function y = x translated 3 units
up and 4 units left?
Answer:
Step-by-step explanation:
y=(x+4)+3
Answer:
y = x + 7
Step-by-step explanation:
Since y = x is a linear function, it may be confusing when using the translation tips you learned from class to solve it. However, there is an easy way to go about it.
1. Remember that when a function moves left, we use + inside of the parenthesis.
4 units left:
y = (x + 4)
2. Remember that when a function moves up, we use + outside of the parenthesis.
3 units up:
y = (x + 4) + 3
3. Add 'em up
y = x + 7
Since the function is linear, it may be confusing to see whether the graph moved up or left. However, by following the origin (0,0) of y = x and moving 4 units left and 3 units up, you will see that the origin has moved from (0,0) to (-4, 3), representing 4 units to the left and 3 units up on a graph.
Hope this helps :)
Given it was not a strike, what is the probability it was a knuckle
ball? Enter the answer as a percent (%)to the nearest tenth.
In response to the above problem, we may state that the triangle's - 5/13 measurements correspond to sin and cos.
Trigonometric functions: what are they?The first six essential trigonometric functions are used in trigonometry. These functions are trigonometric ratios. The sine function, cosine function, secant function, co-secant function, tangent function, and co-tangent function are the six basic trigonometric functions. The side ratio of a right-angled triangle is equivalent to the identities and functions of trigonometry. Trigonometric formulas are applied to the perpendicular side, hypotenuse, and base of a right triangle in order to calculate the sine, cosine, tangent, secant, and cotangent values.
as base/hypotenuse = cos x
and sin x = hypotenuse/perpendicular
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What is the distance between points A and B?
5
.
2
11 units
2 units
9 units
7 units
For what value of a does (1/9)^a+1 = 81^a+1 • 27^2-a
Answer: a = -4
Step-by-step explanation:
find the value of x in the isosceles triangle shown below
Answer:
A
Step-by-step explanation:
The segment from the vertex to the base , bisects the base at right angles
Then there are 2 right triangles with legs x and 4 and hypotenuse [tex]\sqrt{52}[/tex]
Using Pythagoras' identity in either of the 2 right angles
x² + 4² = ([tex]\sqrt{52}[/tex] )²
x² + 16= 52 ( subtract 16 from both sides )
x² = 36 ( take the square root of both sides )
x = [tex]\sqrt{36}[/tex] = 6 → A
823× 3.6 weekly math review homework for fifth grade
Clothing donations are collected to help a family in need. The function g(x) represents the number of items collected where x is the number of people who donated. Does a possible solution of (60,10) make sense for this function? Explain yojr answer
Answer:
No g(x) = x/6 for (60, 10) to be a possible solution
by this function 60 people would have to donate 1/6th of a garment each to achieve 10 full garments
Step-by-step explanation:
g(x) number of items
x number of people
the data point (60, 10) make sense as a possilbe solution NO
g(x) = number of items x = 60 g(x) = 10
g(60) = x/6 = 10
= 60/10
by this function 60 people would have to donate 1/6th of a garment each to achieve 10 full garments
Find FJ plsssssssssssss
Answer:
the value of FJ would end up being 10
Answer:
10
Step-by-step explanation:
Can y’all help me on question 10?!
Answer:
B
Step-by-step explanation:
N=4x0+12=12
Answer:
12
Step-by-step explanation:
N = 4m + 12 =
N = (4 x 0) + 12
N = 0 + 12 =
N = 12
The graph of a quadratic function with vertex (2, -4) is shown in the figure below.
Find the domain and the range.
101
پہلے
<+
-10
10
Write your answers as inequalities, using x or y as appropriate.
Or, you may instead click on "Empty set" or "All reals" as the answer.
In the graph of a quadratic function with vertex (2, -4) is shown in the figure, the Domain: -∞ < x < ∞ and Range: -4 ≤ x < ∞.
What is quadratic function?When a polynomial function has one or more variables and the highest exponent of any one of the variables is two, the function is said to be quadratic function.
A polynomial of degree 2 is referred to as such because the highest degree term in a quadratic function is of second degree. There must be at least one second-degree term in a quadratic function. This function is algebraic.
Domain for this quadratic function is all possible values of x where function is defined.
Thus, Domain: -∞ < x < ∞
Range is the set of value functions that correspond to the value 'x.'
Range: -4 ≤ x < ∞
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In the given figure, AE/IBC, square ABCD and triangle EBC are standing a
common side BC. If the length of AC is 6 cm, find the area of AEBC.
A
D
E
B
O
12 cm2
O
18 cm?
o
36 cm2
O
9 cm2
Answer:
The area of AEBC is 36 cm²
hope it is helpful to you
5,430 is 181% of what number?
Answer:
3000
Step-by-step explanation:
5430=1.81x
solving for x, we take 1, which is equal to 100%, and divide it by 1.81 to get 1/1.81 or 0.55248618
multiply 1/1.81 by 5430 to get 3000
What is the surface area?
What is the surface area of E
Answer:
yes
Step-by-step explanation:
Answer:
412 (pls add the unit cuz i dont learn yd thx)
Step-by-step explanation:
13*12/2*4 + 10*10
= 312 + 100
= 412
What is the solution of the inequality shown
below?
a+5>-7
The required solution for the inequality a + 5 > -7 is (-12, ∞).
What is inequality?Inequality shows relation between two expression which are not equal to each others.
The given inequality is,
a + 5 > -7
To find the solution for the inequality,
Simplify the inequality,
a + 5 > - 7
a > - 7 - 5
a > -12
The value of a is greater than -12, implies that,
The solution for the value of the given inequality is (-12, ∞).
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If these two shapes are similar, what is the measure of the missing length j?
Answer:
45ft is the missing length j.
Two cards are drawn from a standard deck of cards without replacement. Find the probability of drawing a heart and a club in that order
Given:
Two cards are drawn from a standard deck of cards without replacement.
To find:
The probability of drawing a heart and a club in that order.
Solution:
We have,
Total number of cards = 52
Number of cards of each suit (Spade, club, diamond, heart) = 13
The probability of drawing a heart card is:
[tex]P(Heart)=\dfrac{\text{Number of heart cards}}{\text{Total number of cards}}[/tex]
[tex]P(Heart)=\dfrac{13}{52}[/tex]
[tex]P(Heart)=\dfrac{1}{4}[/tex]
Now, the number of remaining card is 51. So, the probability of drawing a club card is:
[tex]P(club)=\dfrac{\text{Number of club cards}}{\text{Total number of remaining cards}}[/tex]
[tex]P(club)=\dfrac{13}{51}[/tex]
Using these probabilities, the probability of drawing a heart and a club in that order is:
[tex]P(\text{Heart and club})=P(\text{Heart})\times P(\text{Club})[/tex]
[tex]P(\text{Heart and club})=\dfrac{1}{4}\times \dfrac{13}{51}[/tex]
[tex]P(\text{Heart and club})=\dfrac{13}{204}[/tex]
Therefore, the required probability is [tex]\dfrac{13}{204}[/tex].
please help will give brainliest
Zachary's car used 15 gallons to travel 645 miles. At what rate does the car use gas, in miles per gallon?
On the double number line below, fill in the given values, then use multiplication or division to find the missing value.
help me.. pls pls pls pls
Answer:
the other side is 5 i think
What is the average rate of change between (4,1) and (3,5)