Answer:
h(x)=-2x²+3
Step-by-step explanation:
Add 5 to -2x²-2.
-2x²-2+5=-2x²+3
h(x)=-2x²+3
Hope this helps!
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Solve the equation. Show all steps of your work and justify each step with an algebraic property of equality.
-(2x+6)=4x
Answer:
-(2x+6)=4x
-2x-6=4x
-2x-4x=6
-6x=6
X = - 1
The supplement of an angle is 26 more than five times its complement. Find the measure of the angle
x = 74 degrees is the angle
Let x = the angle
then
(180-x) is the supplement of x
and
(90-x) is the complement of x:
"The supplement of an angle is 26 more than 5 times its complement."
(180-x) = 26 + 5(90-x)
180 - x = 26 + 450 - 5x
-x + 5x = 26 + 450 - 180
4x = 296
x = [tex]\frac{296}{4}[/tex]
x = 74 degrees is the angle
5 times its complement.
(180-74) = 26 + 5(90-74)
106 = 26 + 5*(16)
106 = 26 + 80; confirms our solution
In elementary geometry , an angle is that the figure formed by two rays, called the edges of the angle, sharing a standard endpoint, called the vertex of the angle. Angles formed by two rays dwell the plane that contains the rays. Angles also are formed by the intersection of two planes. These are called dihedral angles. Two intersecting curves can also define an angle, which is that the angle of the rays lying tangent to the respective curves at their point of intersection.
Angle is additionally used to designate the measure of an angle or of a rotation. This measure is that the ratio of the length of a circular arc to its radius. within the case of a geometric angle, the arc is centered at the vertex and delimited by the edges . within the case of a rotation, the arc is centered at the middle of the rotation and delimited by any other point and its image by the rotation.
Potentially, an angle denoted as, say, ∠BAC, might ask any of four angles: the clockwise angle from B to C, the anticlockwise angle from B to C, the clockwise angle from C to B, or the anticlockwise angle from C to B, where the direction during which the angle is measured determines its sign (see Positive and negative angles).
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Find the coordinates of the centroid of the triangle with the given vertices. (Lesson 5-2)
R(-6,4), S(-2,-2), T(2,4)
The triangle with vertices located at R(-6 , 4), S(-2 , -2), T(2 , 4) has its centroid located at (-2 , 2).
The centroid of a triangle is the point inside the triangle where the three medians intersect. The median of a triangle is the line the connects the midpoint of a side and the opposite vertex.
To get the centroid of a triangle, use the formula given by:
C(x , y) = [(x1 + x2 + x3)/3 , (y1 + y2 + y3)/3]
where C is the centroid of the triangle located at (x , y)
x1, x2, and x3 are the x-coordinate of the vertices of the triangle
y1, y2, and y3 are the y-coordinate of the vertices of the triangle
Let Point 1(x1 , y1) = R(-6 , 4)
Point 2(x2 , y2) = S(-2 , -2)
Point 3(x3 , y3) = T(2 , 4)
Plug in the values in the formula.
C(x , y) = [(x1 + x2 + x3)/3 , (y1 + y2 + y3)/3]
C(x ,y) = [(-6 + -2 + 2)/3 , (4 + -2 + 4)/3]
C(x ,y) = (-6/3 , 6/3)
C(x ,y) = (-2 , 2)
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At the school carnival, the soccer team sold hamburgers and hot dogs. a person buying one hamburger and one hot dog will spend $17.65. the soccer team sold 22 hamburgers and 39 hot dogs and made $511.55. how much does each item cost?
The cost of one hamburger and one hot dog = $10.4 and $7.25.
What is a linear equation?a connection between two or more factors that results in a linear model when displayed on a graph. The variable will have a degree of one.
Y = mx + c is the linear equation.
where the line's y-intercept is represented by c and its m-slope by a slope.
x + y = 17.65 ...(1)
22x + 39y = 511.55 ...(2)
22(17.65 - y) + 39y = 511.55
388.3 - 22y + 39y = 511.55
17y = 123.25
y = $7.25
x + 7.25 = 17.65
x = 17.65 - 7.25
x = $10.40
The cost of the hamburger and hot dog will be $10.4 and $7.25
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Tom kept track of the number of hours that he spent playing hockey each week for several weeks. He spent 4, 6, 4, 7, and 4 hours. What is the range of the data set? 4 hours 25 hours 5 hours 3 hours 12 of 26 QUESTIONS STUDARITY M
Answer: The answer is D 6 hours
Step-by-step explanation:
Solve the question below.
The feet that he descended in 8 hours will be 135168 feet.
How to calculate the value?From the information, it was stated that the the hiker hikes at a rate of 3.2 miles per hour.
Therefore, the number of miles after 8 hours will be:
= 8 × 3.2
= 25.6 miles
It should be noted that 1 mile = 5280 foot
Therefore, this will be:
= 25.6 × 5280
= 135168 feet
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Solve equation.
n+2=-11
To solve the equation, subtract 2 from both sides. The solution is n = -13.
A linear equation is an equation of which the highest degree of its variables is 1.
Steps to solve linear equations:
Simplify the expressions. If there are parentheses, remove them by multiplying the corresponding terms.Combine the same terms.Isolate the variable on one side by using subtraction of addition.Use division or multiplication to find the value of the variable.Recall that if we subtract or add the same number to both sides of an equation, it does not change the equality.
The given problem:
Solve n+2=-11
The variable is n. Isolate n by subtracting 2 from both sides:
n+2 - 2 = -11 - 2
n = -13 (solved)
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$2.01 divided by 2.5 round to the nearest cent?
Answer: $0.80
Step-by-step explanation:
2.01/2.5=
0.804=
0.804=$0.80
Determine the missing term to make these ratios equal:
13:7 = 39:x
Answer: x = 21
Step-by-step explanation:
13/39 = 7/x
13/39 = 1/3 (divide each side by 13)
1/3=7/x
1/3=7/21 (multiply the numerator by 3 to get the denominator)
Easy age problems about basic algebra
-5y+3=2(4y+12)
4 x 2 − 2 x − 2 x − 2 = − 1 2
x√x=-x
|x-a|= a2-x2
4 x 2 + 1 − 2 x 2 + 2 = 8
43) a survey was given asking whether they watch movies at home from netflix, redbox, or a video store. use the results to determine how many people use redbox.
Redbox is used by 136 people.
What is a Venn diagram?A Venn diagram is a popular diagram style that depicts the logical relationship between sets. It was popularized by John Venn in the 1880s. The diagrams are used in probability, logic, statistics, linguistics, and computer science to teach elementary set theory and to illustrate simple set relationships.To find how many people use red boxes:
Given:
A survey was given asking whether they watch movies at home from Netflix, Redbox, or a video store.
52 only use Netflix62 only use Redbox24 only use a video store16 use only a video store and Redbox48 use only Netflix and Redbox30 use only a video store and Netflix10 use all three25 use none of theseThen,
Number of people who use Redbox = number of people use only use Redbox + use only a video store and Redbox + Netflix and Redbox + use all three= 62 + 16 + 48 + 10= 136136 people use Redbox.Therefore, Redbox is used by 136 people.
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The complete question is given below:
A survey was given asking whether they watch movies at home from Netflix, Redbox, or a video store. Use the results to determine how many people use Redbox.
52 only use Netflix
62 only use Redbox
24 only use a video store
16 use only a video store and Redbox
48 use only Netflix and Redbox
30 use only a video store and Netflix
10 use all three
25 use none of these
A/an
someone else for a fee.
is a self-employed person who agrees to work for someone else for a fee
1. Seekor ikan berenang pada kedalaman 25 meter dibawah permukaan air. Kemudian ikan itu berenang naik sejauh 8 meter. Seekor burung bertengger di atas pohon dengan ketinggian 3 meter di atas tanah. Jarak antara burung dengan ikan adalah?
A. 8 meter
B. 14 meter
C. 16 meter
D. 20 meter
2. Seekor cicak berada pada tembok dengan ketinggian 30 meter, lalu tergelincir sejauh 2 setiap menitnya. Berapa meter Cicak setelah 6 menit?
A. 20
B. 19
C. 18
D. 17
Answer:
1.D
2.C
Step-by-step explanation:
1. 25 meter - 8 meter = 17 meter
17 meter + 3 meter = 20 meter
2. 2 × 6 = 12
30 - 12 = 18
To determine customer opinion of their musical variety, sony randomly selects 120 concerts during a certain week and surveys all concertgoers. what type of sampling is used?
To determine customer opinion of their musical variety, sony randomly selects 120 concerts during a certain week and surveys all concertgoers. The type of sampling is used is "Cluster."
What is a survey?A survey is a technique of gathering information from a sample of people by asking relevant questions with the goal of understanding populations as a whole.
Some key features regarding the survey are-
Surveys are an important source of data and insights for everyone in the information economic system, from businesses to the media to government and academia.For more than a decade, online survey software has been the most popular method of conducting survey research, and because getting faster insights is critical to business success, so much companies are relocating to digital solutions.The selection of a sample is critical for collecting accurate and reliable information about the entire population.Cross-check e - mail addresses against names and addresses and remove duplicates if you're sampling a huge database of customer email addresses and only require one response per household.To know more about the survey, here
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Rosie wanted to calculate the change in temperature today. When she woke up this morning, she recorded the temperature at -10^ F. When she went to bed that night, she recorded the temperature at 8^\F. What was the change in temperature from morning to night?
The change in temperature from morning to night is ₋18°F which means the temperature decreased from morning to night.
Given the temperature in the morning is ₋10°F
and temperature in the night is 8°F
To calculate the difference, subtraction is used between the starting and final temperatures. In other words, if something starts at 50 degrees Celsius and ends up at 75 degrees C, the temperature difference is 25 degrees C, or 75 degrees C minus 50 degrees C. The outcome is adverse for drops in temperature.
change in temperature from morning to night = ₋10°F ₋ 8°F
= ₋18°F
the result is negative, hence the temperature decreases from morning to night.
Hence we get the temperature change as ₋18°F.
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Jack wants to find out which can of pineapples is the Best Buy. He has a choice of four different- sized cans. Which can has the lowest unit price per ounce?
A. 8 ounces for $1.44
B. 10 ounces for $1.62
C. 6 ounces for $1.14
D. 18 ounces for 2.88
( work shown )
Answer:
he chose the option A 8 once for $ 1.44
Why is 3/4 greater then 11/16
Answer:
3/4 is greater
Step-by-step explanation:
If you change them both into decimals. You can see that 3/4 is larger
3/4 = .75
11/16 = .6875
Put in your calculator 3÷4 and 11÷16
Answer:
3/4 is larger because
[tex]\frac{3}{4}[/tex]*[tex]\frac{4}{4}[/tex]=[tex]\frac{12}{16}[/tex] [tex]\frac{12}{16}[/tex] > [tex]\frac{11}{16}[/tex]
Step-by-step explanation:
When making the denominators equal it is clear to see that 3/4 which is equal to 12/16 is greater than 11/16.
Which of the c-values satisfy the following inequality?
2 > c/3
Choose all answers that apply:
A. c = 3
B. c = 6
C. c = 9
The value of c that satisfies the given inequality is c = 3.
What are inequalities?Inequality is a conditional relation that compares two numbers or expressions in a way that is not equal. Commonly, it is used to contrast the relative sizes of two numbers on a number line.
From the given information, we are to find the values of c that satisfies the relation;
2> c/3i.e 2 must be greater than the solution of any values of c that are put into the equation.
If c = 3
2 > 3/3
2 > 1 (the value of c satisfy the given inequality)
If c = 6
2 > 6/3
2 = 2 (the value of c does not satisfy the given inequality)
If c = 9
2 > 9/3
2 < 3 (the value of c does not satisfy the given inequality)
Therefore, we can conclude that the value of c that satisfies the given inequality is c = 3.
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Josie earns $10 per hour at her job. Her hours vary, but she never works more
than 30 hours in any given week, as she is still in school. We want to write and
graph a function to show her possible earnings for one week.
What is a reasonable domain and range within the context of this situation?
Answer:
Step-by-step explanation:
Work for 30 hours in a week $10 per hour
The domain and the range for the given situation will be:
Domain = [0, 30]
Range = [0, 300]
Given that Josie earns $10 per hour at her job. Her hours vary, but she never works more than 30 hours in any given week,
We need to find the domain and range.
In this situation, the domain refers to the possible values for the input variable, which is the number of hours Josie works in a given week.
The range, on the other hand, refers to the possible values for the output variable, which is her earnings for the week.
For the domain:
Since Josie never works more than 30 hours in any given week, a reasonable domain for this function would be from 0 to 30 hours. We don't consider negative hours (as it doesn't make sense in this context), and the upper limit is set by her maximum weekly working hours.
Domain = [0, 30]
For the range:
The range should be the possible earnings Josie can make in a week based on her hourly rate of $10 per hour.
To find the range, we multiply her hourly rate by the maximum number of hours she can work in a week, which is 30 hours.
Range = [0, 10 x 30] = [0, 300]
So, the function that represents Josie's possible earnings for one week is:
Earnings = f(hours) = 10 x hours
Where "hours" is the number of hours she works in a week, and "Earnings" is the corresponding amount she earns.
The graph of this function will be a straight line passing through the origin (0, 0) and with a slope of 10, representing her earnings increasing linearly with the number of hours worked.
The line will extend up to the point (30, 300) and then flatten out as she cannot earn more than $300 in a week.
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Name all the line segments that are skew to line segment BF. Select all that apply.
Using it's concept, the skew lines to segment BF are given as follows:
CD, GH, AC, and EG.
What are skew lines?Skew lines are lines that share these two features:
They are not parallel.They do not intersect.For this problem, the parallel lines to BF are:
CG, AE and DH.
The intersecting lines with BF are:
AB, BD, HF, and EF.
Hence the skew lines are:
CD, GH, AC, and EG.
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A card is drawn at random from a standard pack of playing cards. then a fair coin is flipped. what is the probability of selecting a 5 and the coin landing on heads?
The probability of selecting a 5 and the coin landing on head is 1/26
In this question, a card is drawn at random from a standard pack of playing cards and fair coin is flipped.
Here, we have two different sample spaces to work with and we want to calculate a compound probability.
Firstly in a deck of cards which contain a total of 52 cards, there are 4 cards labeled 5.
So, the probability of selecting a 5 is:
4/52 = 1/13
Also, in a flip of coin the probability of the coin landing on head is 1/2
Thus the probability of selecting a 5 and the coin landing on head would be,
probability of selecting 5 × probability of the coins landing on head
= 1/13 × 1/2
= 1/26
Therefore, the probability of selecting a 5 and the coin landing on head is 1/26
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8.024 as a fraction in the lower form
Answer:
8 3/123
Step-by-step explanation:
8024/1000 = 103/125 = 8 3/125
Answer: 8³/₁₂₅
Step-by-step explanation:
[tex]\displaystyle\\8.024=\\\\8\frac{24}{1000}=\\\\ 8\frac{3*8}{125*8}=\\\\8\frac{3}{125}[/tex]
The president of the Huerta Middle School science club suggested a field trip to the local aquarium. Tickets will cost $21.25 for the club adviser and $14.75 for each student who goes. Write an equation showing how the total cost, y, depends on the number of students going, x.
In linear equation , x = 36 is the total cost, y, depends on the number of students going, x.
What in mathematics is a linear equation?
There are only one or two variables in a linear equation. No variable can be multiplied by a number larger than one or used as the denominator of a fraction in a linear equation. All of the points fall on the same line when you identify the values that together make a linear equation true and plot those values on a coordinate grid.Tickets cost for the club adviser = $21.25
cost for each student who goes = $14.75
Based on the given conditions, formulate x = $21.25 + $14.75
Calculate the sum or difference x = 36
get the result x = 36
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Lamont keeps tracks of his math grades by recording them in a table. He wants to keep an average of 90, so he also lists the amount that each grade is above or below 90.
Answer:
a. -11, 97, 6, 87
b. he didn't get over it
Step-by-step explanation:
a. The table shows you the grade in the upper row and in the lower row difference between upper row and 90. So to calculate lower row you need to do X-90 where X is upper row value. To calculate upper row you need to do X+90 where X is lower row value
so you get column 3:
79-90=-11
column 4:
90+7=97
column 5:
96-90=6
column 6:
-3+90=90-3=87
b. To answer this question we would need to simply sum all the values from the Above/Below row for all 6 columns:
-7+4+(-11)+7+6+(-3)= -7+4-11+7+6-3=-4. Since the value is negative it means it's below 90
f (x)=-x^2+10x find f (-8)
Answer: f(-8)=-144
Step-by-step explanation:
f (x)=-x^2+10x
f (-8)=
-(-8)^2+10(-8)=
-64+(-80)=
-64-80=
-(64+80)=-144
Answer:
Remove each x and put - 8
Step-by-step explanation:
(-8)^2+(10x_8)=-16
Can someone help me with this. I am really struggling.
Answer
Domain: 1 < x < 5
Range: -10 < y < 2
Step-by-step explanation
First, we need to graph the function. The function is just a linear function, but arranged differently. You can rearrange it to be:
[tex]f(x) = -3x + 5[/tex]
Now graph the function. The slope of it should be -3, and the y-intercept is 5.
To find the domain, just use the relation of the x values given with the function (1 < x < 5).
To find the range, plug the smallest and largest values of the domain into the function given. 1 and 5 should be the numbers you are plugging in. The outputs will be the range. Remember that negative numbers are smaller than positive numbers, so the negative number should be on the left.
A yacht is sailed from A to B on a bearing of 196ºT. To sail from B directly back to A the true bearing would be:
If yacht is sailed from A to B on a bearing of 196ºT, the true bearing to sail directly back to point A from point B is 16° T.
To determine the true bearing from point B back to point A, we need to consider the relationship between true bearings and the reciprocal direction.
Given that the yacht is sailed from point A to point B on a bearing of 196° T (True), the reciprocal direction would be the opposite direction, 180° away on the compass.
Thus, to sail directly back to point A from point B, we would need to subtract 180° from the reciprocal direction.
Reciprocal direction - 180°
Therefore, the true bearing from point B back to point A would be:
196° T - 180° = 16° T
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help with intergration
Separate the variables.
[tex]\dfrac{dy}{dx} = x (x - 3) \implies dy = x (x - 3) \, dx[/tex]
Expand the right side.
[tex]dy = (x^2 - 3x) \, dx[/tex]
Integrate both sides. On the right side, use the power rule on each term.
[tex]\displaystyle \int dy = \int (x^2 - 3x) \, dx \implies y = \frac{x^3}3 - \frac{3x^2}2 + C[/tex]
Given that [tex]y=3[/tex] when [tex]x=2[/tex], solve for [tex]C[/tex].
[tex]3 = \dfrac{2^3}3 - \dfrac{3\cdot2^2}2 + C \implies C = \dfrac{19}3[/tex]
Then the particular solution is
[tex]\boxed{y = \dfrac{x^3}3 - \dfrac{3x^2}2 + \dfrac{19}3}[/tex]
A pilot is flying from Phoenix, Arizona, to Louisville, Kentucky. The aircraft cannot take off
or land if the temperature on the field is not within its operating limitations. The aircraft
cannot operate if the temperature is at or below -40 degrees, or at or above 118 degrees.
A) Write an inequality to represent the temperatures in which the pilot can take off &
land. (2pts)
B) Describe the graph of the inequality. Use terms such as open/closed circles and
shading directions. Explain what the solutions to the inequality represent (4pts)
The necessary inequality is denoted by the symbol.
-40< x <118
This is further explained below.
What is is the required Inequality?Generally, Find an inequality that represents the potential landing or takeoff circumstances of an aircraft, the needed graph, and one example where the inequality will be evaluated.
Find an inequality that represents the possible landing or takeoff conditions of an aircraft.
The necessary inequality is denoted by the symbol.
-40<x<118
The temperature range in which the aircraft is possible to take off or land is shown by the graph.
Due of the high temperatures in Phoenix, Arizona in June of 1990, the pilot could not have safely taken off.
Let us represent the temperature with the symbol x
Therefore, the temperature must be above or equal to.
-40F so x>-40
Therefore, the temperature can't be at or higher than.
118F so x<118
The disparity between them will be.
-40<x<118
It is possible to observe from the graph that the area colored in gray encompasses all of the points that lie between -40 and 118, but it will not include the points -40 and 118.
The temperature range in which the aircraft is possible to take off or land is shown by the graph.
In June of 1990, the temperature in Phoenix, Arizona, reached a high of degree 122degree, which is higher than 118F
Because of this, it is impossible for the pilot to have taken off on this day.
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how do i solve this ?
Answer:
Umm where is the question my dude