Which statement correctly identifies a local minimum of the graphed function?
Over the interval [–3, –2], the local minimum is 0.
Over the interval [–2, –1], the local minimum is 2.2.
Over the interval [–1, 0.5], the local minimum is 1.
Over the interval [0.5, 2], the local minimum is 4.
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Answers
Statement which is correctly identifies the local minimum of the graphed function is given by over the interval [tex][-1,0.5],[/tex] the local minimum is [tex]1[/tex].
What is graph?
" Graph is defined as the pictorial representation of the relation between the given variables on the coordinate plane along x-axis and y-axis."
According to the question,
Form the given graph of the function local minimum is given by
a. Over the interval [tex][-3, -2][/tex], the local minimum is [tex]0[/tex]:
From the graph value of y coordinate at [tex]x= -3[/tex] is closest to [tex]-6[/tex]. As per given statement local minimum is zero . [tex]-6 < 0[/tex]
At [tex]-2[/tex] closest to [tex]1[/tex] , [tex]1 > 0[/tex]
Therefore , local minimum [tex]=0[/tex] is not a correct option.
b. Over the interval[tex][-2, -1][/tex], the local minimum is [tex]2.2.[/tex]
From the graph at [tex]-2[/tex] closest to [tex]1[/tex] , [tex]1 \neq 2.2[/tex].
Moving from [tex]-2[/tex] to [tex]-1[/tex] graph is increasing . At [tex]-1[/tex] y - coordinate is equals to [tex]2[/tex].
Again [tex]2\neq 2.2[/tex]
Therefore, it is not a correct option.
c. Over the interval[tex][-1, 0.5][/tex], the local minimum is [tex]1[/tex]
From the graph at [tex]-1[/tex] closest to [tex]2[/tex] ,and keep on decreasing till [tex]x=0[/tex] .
From [tex]0[/tex] to [tex]0.5[/tex] graph keep on increasing.
At [tex]x= 0[/tex] value of y-coordinate is equals to [tex]1[/tex] , which represents the local minimum at [tex]x= 0[/tex] which is in the interval [tex][ -1, 0.5][/tex]
At [tex]x= -1[/tex] y- coordinate is equals to [tex]2[/tex]
At [tex]x= 0.5[/tex] y- coordinate is equals to [tex]2[/tex]
Local minimum [tex]= 1[/tex] at [tex]x=0[/tex]
Therefore, it is a correct option.
d. Over the interval [tex][0.5, 2],[/tex] the local minimum is [tex]4.[/tex]
In the given interval graph keeps on increasing [tex]1[/tex] to [tex]4[/tex] and so on.
It is not a correct option.
Hence, statement which is correctly identifies the local minimum of the graphed function is given by over the interval [tex][-1,0.5],[/tex] the local minimum is [tex]1[/tex].
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Related Questions
simplify: 3a-4b+5a+10b
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Answer:
Step-by-step explanation:
8a+6b
Answer:
8a+6b
Good Luck!!!
The average smoker typically pays 15% higher life insurance costs than the average non-smoke. If the monthly cost to a non-smoker is $500 dollars per month, how much would the average smoker pay per month for the same life insurance policy?
Answers
Answer:
$600 for a smoker
Step-by-step explanation:
On average, smokers will typically pay 15-20% higher premiums than non-smokers with equivalent demographics and health conditions. If the monthly premium for a non-smoker is $500 per month, it will be upwards of $600 for a smoker. The health insurance companies face a double-edged sword when it comes to insuring smokers.
Which point is located on the line represented by
the equation y = 5x + 4?
Answers
All points in the format: (x, 5x + 4) are in the line.
A few examples are: [tex](-2,-6), (-1,-1), (0,4), (1,9), (2,14)[/tex]
--------------------------
The equation of the line is:
[tex]y = 5x + 4[/tex]
This means that the points located on the line have the following format:
[tex](x, y) = (x, 5x + 4)[/tex]
Among the examples:
[tex](-2, 5(-2) + 4) = (-2,-6)[/tex]
[tex](-1, 5(-1) + 4) = (-1,-1)[/tex]
[tex](0, 5(0) + 4) = (0,4)[/tex]
[tex](1, 5(1) + 4) = (1,9)[/tex]
[tex](2, 5(2) + 4) = (2,14)[/tex]
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What is 29 multiplied by 84
Answers
Answer:
29 x 84 = 2436
Step-by-step explanation:
Ryan earned a yearly income of $67,000, he needed to pay an income tax of 17% . What was the amount of income tax he paid
Answers
Answer:
11,390
Step-by-step explanation:
67,000 x 17%= 11,390
Read the question and let me know if I got it right please.
Answers
Answer:
Yes
Step-by-step explanation:
Answer:
yup its correct
Step-by-step explanation:
write 0.00000044 in scientific notation
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what is the greatest common factor shared by 20 and 10
Answers
Answer: 10
Step-by-step explanation:
Which of the following equations represents a function (15 points)
Answers
WILL MARK BRAINLIEST. Can someone help me wit des 2 questions?
Error Analysis: Isabel says that the equation x-2=-(x-2) has no solution because a number can never be equal to its opposite. Explain the error Isabel made. "MP.3"
Look for Relationship: You are solving an equation with a variable on each side. Does the side on which you choose to isolate the variable affect the solution? Why might you choose one side over the other? "MP.7"
Answers
Answer:
Zero is a number that can be equal to its opposite.
So, the given equation has solution for which LHS=RHS=0.
Step-by-step explanation:
The answer to the equation is 2
Perimeter is a measure of the distance around a figure. If each side of a triangle measures 0.75 inches, what is the perimeter of the triangle?
Answers
Answer:
The perimeter of a triangle is the sum of all its three sides.
So,
0.75+0.75+0.75 = 2.25inches
3^3 / 3^-4 = ?
Will mark brainliest plz hurry
Answers
Answer:
[tex]2187[/tex]
Step-by-step explanation:
[tex]\frac{3^3}{3^-^4}[/tex]
When attempting to solve this, we have to consider the exponent rule of fractional exponents:
[tex]\frac{x^a}{x^b} =x^a^-^b[/tex]
Therefore, our initial problem would become:
[tex]3^3^-^(^-^4^)\\[/tex]
Two negatives become positive:
[tex]3^3^+^4[/tex]
Add:
[tex]3^7[/tex]
[tex]3[/tex] × [tex]3[/tex] × [tex]3[/tex] × [tex]3[/tex] × [tex]3[/tex] × [tex]3[/tex] × [tex]3[/tex]
[tex]= 2187[/tex]
A ratio table is PROPORTIONAL when SOME columns reduce to the same fraction
true or false pls asap
Answers
Answer: true
Step-by-step explanation:
Consider the equation y = 1.5x + 2. Find four pairs of x and y values that make
the equation true. Plot the points (x, y) on the coordinate plane.
Based on the graph, can this be a proportional relationship? Why or why not?
Answers
Answer:
1. (2,5),(1,3.5),(4,8),(6,11)
2. This is not a proportional relationship (explanation below)
Step-by-step explanation:
For the plotting, if you take some random x values and multiply by 1.5 and add 2 to them.
This can't be a proportional relationship. A proportional relationship means the x and y values' ratios have to stay the same. However, because 2 is added to 1.5x, the equation is not proportional.
The four x and y values that make the equation true are (0,2), (-1.333,0), (1,3.5), and (1,3.5).
What in mathematics is a proportionate relationship?When the ratios of two variables are equal, they form proportional relationships. Another way to think about them is that in a proportionate relationship, one variable is always equal to the constant value of the other.This constant is known as the "constant of proportionality." To find: The four sets of x and y values required to solve the equation. Put the (x, y) coordinates on a coordinate plane.Therefore,
We select several x and y values,
1) Take x=0,
y = 1.5(0) + 2 =2.
The point is (0,2).
2) Take y=0,
0 = 1.5x + 2
x = -2/1.5 = -1.333
The point is (-1.333,0).
3) Take x=1,
y = 1.5(1) + 2 = 3.5
The point is (1,3.5).
4) Take y=1,
1 = 1.5x +2
1.5x = -1
x = -1/1.5 = -0.666.
The point is (-0.666,1).
The four sets of x and y numbers that make the equation true are (0,2), (-1.333,0), (1,3.5), and (0,2).
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During a 60-minute period, a traffic engineer counted 54 trucks and cars that crossed a bridge. The ratio of trucks to cars that travel across the bridge is usually 2:7. The equation LaTeX: \frac{2}{7}=\frac{t}{54-t}2 7 = t 54 − t can be used to predict the number of trucks, t, the engineer should have counted. How many trucks should the engineer have counted?
Answers
Answer:
Step-by-step explanation:
Given the expression for the equation representing the prediction of number of trucks as;
2/7 = t/54-t where t is the number of trucks
To get the number of trucks t, we will have to evaluate the expression and solve for t as shown;
Given 2/7 = t/54-t
Cross multiply
2(54-t) = 7t
Open the parenthesis
2(54)-2t = 7t
108-2t = 7t
7t+2t = 108
9t = 108
Divide both sides by 9
9t/9 = 108/9
t = 21
Hence the engineers should have counted 21trucks
Simplify . Explain your steps.
Answers
answer:
x^7 over x^4
step-by-step explanation:
hope this helps <3
Answer:
x^7 over x^4
Step-by-step explanation:
Happy to help
Which expression has a value of 7 when p = 64 and q = 12?
A) 3-10-9 + 5
B) 3 (Jp - 9) + 5
C) (3p) - 9 + 5
D) 3p -(q + 5)
Answers
Answer:
The answer is D.
Step-by-step explanation:
Doing it rn you are welcome.
A rectangular television's length is 3 inches more than twice its width. The
perimeter of the television is 144 inches. What is the width of the television?
Answers
Answer:
49
Step-by-step explanation:
so if you look at it you have to think which numbers will equal 144 and 23 plus 49 plus 3 is the answer
4n-32 how would i solve this and also 3w+66
will mark brainlest
Answers
Answer:
you additive inverse
Step-by-step explanation:
Answer:
Step-by-step explanation:
First you have to figure out n. Let's say it's 1, then you would multiply it by 4. That would be 4. Then subtract 32. In this case, then the answer would be - 28.
For this one, first you have to figure out w. Let's make w = 2. Then multiply is by 3 so it would be 6. Then add 66. In this case, it would be 72.
I hope this helps!
Help!! I need this now!! The instructions are on the top thank you!!
Answers
Answer:
LIVE TESTS NOT ALLOWED TO BE ANSWERED
Step-by-step explanation:
STOP THIS IS REPORTABLE
you start hiking at an elevation that is 550 meters below sea level.you increase your elevation by 45 meters.what is the new elevation? write an addition and evaluate.
Answers
Answer:
-550+45=(-505)
Step-by-step explanation:
You are at -505 meters below sea level
Answer:
You are now 38 m below base camp.
Step-by-step explanation:
Consider the provided information.
You start hiking at an elevation that is 80 meters below base camp.
Now your initial location is 80 m below base camp, that can be represents as: -80
Now you increase your elevation by 42.
So you go up by 42.
In other words, you get the equation -80+42 = -38.
Since, a negative value is below the base camp, this means that you are now 38 m below base camp.
Here is the second one thanks for the help!
Answers
Answer:
Your answer would be 329.1 ft.
Step-by-step explanation:
If he wants equal distance when he takes his 3 breaks up a mountain that is 987.3 feet tall, 329.1 multiplied by 3 equals 987.3
Explanation: im not sure but i think thats the answer
Find the fifth term in the sequence: 9, 13, 17,...
Answers
38 + 7k=8(k + 4)
Please help. <3
Answers
Pls mark me brainliest
Answer:
Distribute the 8 to k+4 then isolate k to one side and the normal numbers to the other, then simplify. I don't believe in giving you the answer, so I tell you how to go through it.
Step-by-step explanation:
if KM = 32 units, KL = 3x+6 and LM= 11 units, what is the value of x?
Answers
Answer:
x = 5Step-by-step explanation:
|<------------------- 32 units ---------------->|
K-----------------------L-------------------------M
3x + 6 11
KL + LM = KM
3x + 6 + 11 = 32
3x = 32 - 11 - 6
x = 15 / 3
x = 5 units
can u help me with this page?
Answers
1)
[tex]f(x) = 2x - 5\\f(4) = 2(4) - 5 = 8 - 5 = 3[/tex]
2)
[tex]f(x) = 2x - 5\\f(-6) = 2(-6) - 5 = -12 - 5 = -17[/tex]
3)
[tex]g(x) = x + 3\\g(8) = 8 + 3 = 11[/tex]
4)
[tex]h(x) = 4x\\h(5) = 4 \cdot 5 = 20[/tex]
5)
[tex]k(x) = x^2 + 2x - 5\\k(6) = 6^2 + 2 \cdot 6 - 5 = 36 + 12 - 5 = 43[/tex]
6)
[tex]k(x) = x^2 + 2x - 5\\k(-3) = (-3)^2 + 2(-3) - 5 = 9 - 6 - 5 = -2[/tex]
7)
[tex]g(x) = x + 3\\g(3x) = 3x + 3 = 3(x + 1)[/tex]
8)
[tex]f(x) = 2x - 5\\f(4x) = 2(4x) - 5 = 8x - 5[/tex]
9)
[tex]h(x) = 4x\\h(5t) = 4(5t) = 20t[/tex]
10)
[tex]k(x) = x^2 + 2x - 5\\k(4t) = (4t)^2 + 2(4t) - 5 = 16t^2 + 8t - 5[/tex]
11)
[tex]f(x) = 2x - 5\\f(x + 3) = 2(x + 3) - 5 = 2x + 6 - 5 = 2x + 1[/tex]
12)
[tex]f(x) = 2x - 5\\g(x) = x + 3\\f(g(x)) = 2(x + 3) - 5 = 2x + 6 - 5 = 2x + 1[/tex]
How do you write, 24.23 as a mixed number in simplest form?
Answers
Answer:
24 23/100
Step-by-step explanation:
I think this is the answer.
9514 1404 393
Answer:
24 23/100
Step-by-step explanation:
"Twenty-three hundredths," or 23/100, is a fraction that cannot be reduced. The mixed number version is ...
24 23/100
_____
Additional comment
You start with a denominator that corresponds to the place value of the least-significant digit. Here, that's hundredths, so the fraction you start with is some number of hundredths. Then you reduce the fraction if possible, by canceling all factors of 2 or 5 that you can.
Had it been 23.24, you would start with 23 24/100 and cancel a factor of 4 from numerator and denominator: 23 6/25.
Why is this a function?!
Answers
Answer:
It is a function because, the domain doesn't repeat.
Step-by-step explanation:
David buys a bag that cost $72 for binders he spent $17 less than pencils if he spent $119 total how much did you spend on binders
Answers
Answer:
55
Step-by-step explanation:
Little Bear can eat all the honey in a jar in 10 minutes. If Papa Bear eats honey with him, they can eat all the honey in the jar in 6 minutes. How long would it take Papa Bear to eat the jar of honey alone?
Pls Help
Answers
Answer:
15
Step-by-step explanation:
little bear consumes 1/10 jar/min
in 6 minutes , little bear would consume 6 min * 1/10 jar/min = 6/10 jar = 0.6 jar
this means , that in those same 6 minutes papa bear needs to have eaten the remaining 0.4 jar also it takes 6 min/0.4 jar = 6*10/4 min/jar = 15 min/jar
The time taken for Papa Bear to eat the jar of honey alone is 15 minutes.
Based on the information given, the little bear will use 1/10 minutes.
In 6 minutes, the little bear will have eaten 0.6 jars
Therefore, the time taken for the papa bear will be:
= 6 minutes / (1 - 0.6)
= 6/0.4
= 15 minutes
Therefore, the correct option is 15 minutes per jar.
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