can someone help me please
{-3 if x ∈ [-2,-5]}, {-2 if x ∈ (-2,3]} and {3 if x ∈ (3,4]} are the required answer for the function f(x).
Interval notation is a method to represent an interval on a number line. In other words, it is a way of writing subsets of the real number line. An interval comprises the numbers lying between two specific given numbers.
Intervals can be classified based on the numbers the set comprises. Some sets include the endpoints specified in the notation, while some might partially or not include the endpoints. In general, there are three types of intervals given as,
open interval shown by round brackets.close interval shown by square brackets.half-open interval shown by mixture of round and square brackets.For the given graph we can conclude the interval one by one.
For the first blank {-3 if x ∈ [-2,-5]}
For the second blank {-2 if x ∈ (-2,3]}
For the third blank {3 if x ∈ (3,4]}
Therefore, {-3 if x ∈ [-2,-5]}, {-2 if x ∈ (-2,3]} and {3 if x ∈ (3,4]} are the required answer for the function f(x).
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2/3 of a number is 12. What is 1/2 the number?
Answer:
Step-by-step explanation:
the number is 18, so half of that would be
What is the slope-intercept form of the equation of the line that passes through the point (-6, 1) and is perpendicul
to the graph of 2x + 3y = -5?
y=-x-8
y=-3x+1
y=x+1
y = x + 10
The equation of the line as it passes through the point (-6, 1) is
y = 3x/2 + 10
How to Calculate a Slope ?Slope is the same as gradient which is the ratio of change in y to change in x. That is,
gradient m = Δy / Δx
Given that the equation of the line passes through the point (-6, 1) and is perpendicular to the graph of 2x + 3y = -5
Let us first find the slope, 3y = -2x - 5
y = -2x/3 - 5/3
Slope m = -2/3
Let us use the formula Mm = -1
M = -1/m
M = -1 × -3 /2
M = 3/2
The equation of the line as it passes through the point (-6, 1) will be
M = (Y - Y1) / (X - X1)
3/2 = (y - 1) / (x + 6)
Cross multiply
2(y - 1) = 3(x + 6)
2y - 2 = 3x + 18
Collect the like time
2y = 3x + 18 + 2
2y = 3x + 20
y = 3x/2 + 10
Therefore, the equation of the line as it passes through the point (-6, 1) is y = 3x/2 + 10
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Rewrite in simplest terms: -10(-5f +7f+2) - f
Answer:
-21f - 20
Step-by-step explanation:
Rewriting in the simplest terms,
→ -10(-5f + 7f + 2) - f
→ 50f - 70f - 20 - f
→ -20f - 20 - f
→ -21f - 20
Hence, simplest term is -21f - 20.
(8x^2+3x−4)+(−2x^2+8x)
Kiara and Donovon attend different middle schools. They both went to their schools’ winter carnivals. Kiara paid a $5 entrance fee and bought several tickets costing $0.75 each for games and rides. Donovon paid a $7 entrance fee and bought several tickets costing $0.50 each for games and rides. How many tickets, x , must Kiara and Donovan each buy in order for the cost of attending their school carnivals to be the same?
A. 8 tickets
B. 10 tickets
C. 28 tickets
D. 48 tickets
Answer:B
Step-by-step explanation:
Rocko paid $12.50 for 25 game tickets. Louisa paid $17.50 for 35 game tickets. What is the constant of proportionality? Express your answer in decimal form.
The constant of proportionality is 0.5.
How to compute the value?From the information, Rocko paid $12.50 for 25 game tickets and Louisa paid $17.50 for 35 game tickets.
The constant of proportionality can be illustrated as k.
Therefore, 12.50 = 25 × k
12.50 = 25k
Divide
k = 12.50/25
k = 0.5
The constant of proportionality is 0.5.
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Select the reason why these triangles are
similar. If they are not, select "Not similar."
88°
62°
88°
30° help asap this is my last question
The triangles are similar by AA.
What are similar triangles?Similar triangles are triangles that have the same shape, but their sizes may vary.
In similar triangles, corresponding sides are always in the same ratio.
Corresponding angles in similar triangles are always congruent.
Therefore, the angles of the first triangle are 88, 30 and 62 and the angles of the second triangle are 62, 88 and 30 degrees.
If any two angles of a triangle are equal to any two angles of another triangle, then the two triangles are similar to each other.
Therefore, the triangles are similar by AA.
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Kiara has 6 coins she puts the same number of coins in each of three envelopes how many coins does kiara put in each envelope
The total number of coins Kiara put in each envelope are 2.
According to the given question.
Total number of coins Kiara have = 6
Total number of envelopes Kiara have = 3
Since, we have to find the number of coins Kiara put in each envelope. So, for this we will divide total number of coins by total number of envelopes.
Therefore,
The total number of coins Kiara put in each envelope
= 6/3
= 2
Hence, the total number of coins Kiara put in each envelope are 2.
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in june 2012, a gallup poll asked u.s. adults whether immigration was a good thing or a bad thing for the country. out of 1004 respondents, 663 said it was a good thing.
The 95% confidence interval for the proportion who believe immigration is a good thing is 0.631< p < 0.689.
What is immigration?Immigration is the term used to describe the international movement of individuals to a country of destination where they do not have nationality or ancestry in order to settle as citizens or permanent residents. The definition of immigration or migration excludes commuters, tourists, and other short-term visitors; seasonal labor immigration is occasionally included, though.
Research indicates that migration has favorable economic impacts for both the sending and receiving countries. The majority of the time, according to research, immigration benefits the native people economically. However, there is some debate over whether low-skilled immigration has a negative impact on low-skilled natives.
Given that,
Point estimate = sample proportion = [tex]\hat p = x / n = 663 /1004=0.660[/tex]
1 - [tex]\hat p[/tex] = 1-0.660=0.34
Margin of error = E = [tex]Z\alpha/2 * \sqrt(((\hat p * (1 - \hat p)) / n)[/tex]
= [tex]1.96 (\sqrt((0.66*0.34) /1004 )[/tex]
E = 0.029
A 95% confidence interval it is given as ,
[tex]\hat p - E < p < \hat p + E[/tex]
0.66 - 0.029 < p < 0.66+ 0.029
0.631< p < 0.689
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(b/a)^3 + a^2 for a= -2 and b =4
Answer: -4
Step-by-step explanation:
a = -2 and b = 4
(b/a)^3 + a^2=
(4/(-2))^3 + (-2)^2=
(-2)^3 + 4=
-8+4=-4
A rectangular book measures 12 x 15. What is the length of
its diagonal?
Round the answer to the nearest tenth.
During her visit to zoo, Ivy stops by the café and orders a chicken fajita taco and a juice. If she
pays for her order with a $10.00 bill, how much change will she receive? Show your work
Answer:
$4.7
Step-by-step explanation:
What is the greatest commen factor of 338
Answer:
2
Step-by-step explanation:
What do you notice about the angle measures of complementary angles, supplementary angles, and vertical angles?
Answer:
1. The sum of the measures of complementary angles is 90°.
2. The sum of the measures of supplementary angles is 180°.
3. The measures of vertical angles are equal.
Perimeter < 18.7 feet
4,1 ft
4.9 ft/
6.4 ft
x ft
Inequality:
Solution:
For this question, the inequality is 4.9+4.1+6.4.+x < 18.7 and the solution is x < 3.3 ft.
PerimeterThe perimeter of a geometric figure is the sum of its sides. Thus, for a square, for example, the perimeter is S1+S2+S3+S4, where S represents the dimension of each side.
In this question the sides are: 4.9, 4.1, 6.4 and x. The exercise also informs that the perimeter is less than 18.7 ft.
Thus, you can write
4.9+4.1+6.4.+x < 18.7
x+15.4 < 18.7
x < 18.7 - 15.4
x < 3.3 ft.
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Name the geometric term modeled by the given object.
a knot in a rope
The geometric term modeled by the given object (knot in a rope) is a point
How to determine the geometric term?The given object is a knot in a rope
The knot of a knot in a rope is often represented by a dot
This means that the knot in a rope can be modelled by a line point
Hence, the geometric term modeled by the given object (knot in a rope) is a point
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how many groups of 9/2 are in 1
Answer:
Step-by-step explanation:
9/2 = 4 1/2
9/2=4.5
So, we divide 1 by 9/2 to find the answer
1/4.5 = 0.2222222222
Hope this helps! ^^
There are 0.22 groups or 2/9 groups of 9/2 in unity.
What are fractions?A common fraction is a numeral which represents a rational number. That same number can also be represented as a decimal, a percent, or with a negative exponent. Example -
2/5, 5/6, 7/9
We have a fraction and a whole number.
Assume that there are [x] groups of 9/2 each. Then, we can write -
9x/2 = 1
x = 2/9
x = 0.22 (rounded of)
Therefore, there are 0.22 groups or 2/9 groups of 9/2 in unity.
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= f(x)= 4 -x, for what input is the output 7
Answer:
-3
Step-by-step explanation:
Rewrite as follows and solve for x:
7 = 4 - x
Add x to both sides to get positive x
x + 7 = 4
Subtract 7 from both sides to get x by itself
x = -3
what is inverse function of f(x) = sqrt-3x-27
Answer: [tex]f^{-1} (x) = -\frac{x^{2} }{3} -18x -243[/tex]
Step-by-step explanation: that would be the inverse function
what is the inverse of g (x)= 2x-4/3
Answer:
this is the answer of this question
If c^2+s^2=1 what does c+s=
I don't have a lot of info to go off of to properly solve the question, however I think I may be able to help. If you are trying to solve using the Quadratic Formula:
_______________________________________________________
Solve the rational equation by combining expressions and isolating the variable c.
[tex]c=\sqrt{(1+s)(1-s)[/tex]
[tex]c=-\sqrt{(1+s)(1-s)}[/tex]
If this is not what you are looking for, please comment below on what you really need and I'll see what else I can do to help. Thanks!
Mio bought a tablet and pays monthly for internet service for it. She graphed the relationship between the number of months she has had the tablet and the total amount she has spent on it. What does the y-intercept represent in this context?
A) The number of months after which the cost is 0 dollars.
B) The cost per month of internet service.
C) The cost of buying the tablet.
Answer:
B) The cost per month of internet service.
HELPPPP MATH 20 pointssss
Answer:
first one if I'm not wrong
A girl but a T-shirt for $25 then her friend by the same shirt for 30% off how much did the friend pay for the shirt
Her friend bought the same T - shirt for $ 17.5 after 30 % discount.
We are given that a girl bought a T- shirt for $ 25.
Selling price = $ 25
Now, her friend bought the same T- shirt for 30 % off.
Discount rate = 30 %
Let the discounted price at which her friend bought the t - shirt be x.
So, we get that:
x = $ 25 - 30 % of $ 25
x = $ 25 - 30 / 100 × 25
x = $ 25 - $ 7.5
x = $ 17.5
Therefore, her friend bought the same T - shirt for $ 17.5 after 30 % discount.
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please help me find this answer
PLEASE IM BEGGING
Answer: The length of the side is 14 inches
Step-by-step explanation: Using the formula V=(b^2xh):3
Input the numbers we are given: 196=(b^2x3):3 now calculate 196=(14^2x3):3 side b=14 inches
if the chance of getting a disease is 20 out of 100, this would be the same as having how much of a percent chance of getting the disease?
If the chance of getting a disease is 20 out of 100, This would be the same as having a 20% chance of getting the disease
Define diseases?
A disease is a specific abnormal state that adversely affects an organism's structure or function on the whole or in part, and which is not immediately brought on by any external trauma. It's common knowledge that diseases are medical illnesses with recognizable indications and symptoms. A disease can be brought on by either internal dysfunctions or external sources like infections.
In humans, the term illness is frequently used to refer to any condition that results in suffering, dysfunction, anguish, social issues, or death for the person who is afflicted, as well as problems similar to these for those who come into touch with the person.
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The manufacturing cost of a cell phone was $146. Sellers first marked up 1
the cost by 20 percent. Sales were poor, so sellers decreased the markup to
15 percent. Calculate the old and new selling prices?.
selling price = original cost + markup
Old Selling Price: $185.80 New Selling Price: $177.90
Old Selling Price: $175.20 New Selling Price: $167.90
Old Selling Price: $235.90 New Selling Price: $189.80
Answer:
Old 175.20, New 167.90
Step-by-step explanation:
Manufacturing cost: $146
Old Price $146 + 20% markup = $175.20
New Price $146 + 15% markup = $167.90
Evaluate expression if r=3, q=1 , and w=-2 .
r w-6
The result of evaluating the expression r w-6 is equal to -12.
To evaluate an expression is a term used in maths that generally means to come up with a solution to an equation and if it is not possible then reduce it to a smaller equation by exchanging the variables with the given numerical values.
We can evaluate the given expression as follows:
Since r = 3 and w = -2, we can substitute r and w in the expression, r w-6, with 3 and -2 respectively.
r w - 6 = 3 (-2) - 6
3 (-2) - 6 = -6 -6 = -12.
Hence if we evaluate the expression r w-6, the result will be -12.
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.........................
Answer:
Step-by-step explanation: