Answer:
6
Step-by-step explanation:
We can round $4.98 up to $5.
Then do $30 / $5 = 6
Go back and check if 6 works:
$4.98 × 6 = $29.88 which is less than $30.
So the answer is 6
1. Given the function g(x)=(x-4)² + 3
I’ve been asked to graph the function but they gave me no reference points to be able to find my corresponding points how do I find them with just the function?
There is no need of reference points to plot the graph of this function and we can select our reference range by ourselves as discussed above. The graph is attached in the end.
What is a function?A function is a relation between a independent variable and a dependent variable such that the value of dependent variable depends upon the independent one. For example -
f(x) = 2x + 5
g(x) = 4x + 9
Given is function g(x) = (x - 4)² + 3
There is no need of any reference points to graph this function. You can take the reference points in a specific range. For example, you can plot the graph for the values of [x] from x = -5 to x = 5. It can be noticed that we have taken 5 - 5 points on both sides of the [x] axis. Make sure that you ensure this symmetry. Range could be any, for example from x = - 7 to 7, x = - 10 to 10 etc. The given function is -
g(x) = (x - 4)² + 3
We will plot the graph for x = -3 to x = 3
g(-3) = 52
g(-2) = 39
g(-1) = 28
g(0) = 19
g(1) = 12
g(2) = 7
g(3) = 4
Now, we will plot these coordinates on the graph. The plotted graph is attached with the answer.
Therefore, we can conclude that, there is no need of reference points to plot the graph of this function and we can select our reference range by ourselves as discussed above.
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May I please get help with this. I have tried multiple times to get the correct answer for this but still could not seem to get the right one.
Answer:
42
Explanation:
Recall that two triangles are said to be similar if their corresponding angles are congruent and their corresponding sides are in equal proportion.
Given that triangles ABC and XYZ are similar, to be able to determine missing side length, we have to set up proportions as seen below;
[tex]\begin{gathered} \frac{AB}{XY}=\frac{AC}{XZ} \\ \frac{30}{5}=\frac{AC}{7} \end{gathered}[/tex]Let's cross multiply;
[tex]\begin{gathered} 5\cdot AC=30\cdot7 \\ 5AC=210 \end{gathered}[/tex]Let's divide both sides of the equation by 5;
[tex]\begin{gathered} \frac{5AC}{5}=\frac{210}{5} \\ AC=42 \end{gathered}[/tex]So the missing side length is 42
Please solve with an explanation
Answer:
10.8
Step-by-step explanation:
Hello!
Once, graphed, a right triangle forms, with PQ as the hypotenuse. The other two lengths are 6 and 9.
We can use the Pythagorean theorem: [tex]a^2 + b^2 = c^2[/tex]
a and b are lengthsc is the hypotenuseSolve for PQ[tex]a^2 + b^2 = c^2[/tex][tex]6^2 + 9^2 = PQ^2[/tex][tex]36 + 81 = PQ^2[/tex][tex]117 = PQ^2[/tex][tex]\sqrt117 = PQ\\[/tex]10.8 = PQThe length of PQ is 10.8.
Find an equation for the line that passes through the points (3, -4) and (-3, -1).
Answer:
That is my own idea and I hope it is very helpful
the teacher wants to select 6 students from this class. the first selected student will be a media helper, the second one will be a pledge/flag helper, the third one will be a pencil sharpener, the fourth one will be attendance taker, the fifth one will be a board eraser and the sixth one will be a calendar helper. from this class of 13 students, how many different ways can this selection be done?
From this class, the teacher wishes to selected six students. 2,2,2,2,2,3 different ways are there to selected from this class of 13 students.
Given that,
From this class, the teacher wishes to selected six students. The first chosen student will assist with media, the second will assist with pledges and flags, the third will sharpen pencils, the fourth will take attendance, the fifth will wipe the board, and the sixth will assist with the calendar.
We have to find how many different ways are there to selected from this class of 13 students.
For 13 students,
We divide like 2,2,2,2,2,3.
The first 2 student will be a media helper,
The second 2 students will be a pledge/flag helper,
The third 2 students will be a pencil sharpener,
The fourth 3 students will be attendance taker,
The fifth 2 students will be a board eraser and
The sixth 2 students will be a calendar helper.
Therefore, This many ways we can selected the students.
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Tyler thinks he knows one of the linear factors of . After finding that , he suspects that is a factor of P(x). Here is the diagram he made to check if he’s right, but he set it up incorrectly. What went wrong?
Linear factors are the factors of a polynomial
What went wrong is that: Tyler's linear factors are incorrect
The polynomial function is given as:
Rewrite as:
Further rewrite as:
Factorize the above polynomial
Factor out x - 1 from the polynomial
This means that:
The linear factors are x - 1 and x^2 - 8x + 15
From the given diagram, Tyler's linear factors are x - 1 and x^2 - 8x - 15
Hence, Tyler's linear factors are incorrect
an ice cream shop sells small and large sundaes . one day, 30 small sundaes and 50 large sundaes were sold for $420.another day, 15 small sundaes and 35 large sundaes were sold for $270. sales tax is included in all prices .
Using equation, the cost of small sundae and large sundae are 4 dollars and 6 dollars respectively.
How to solve for the cost of small and large sundae that were sold?The ice cream shop sells small and large sundaes .
One day, 30 small sundaes and 50 large sundaes were sold for $420. Another day, 15 small sundaes and 35 large sundaes were sold for $270.
Therefore,
let
x = cost of each small sundae
y = cost of each large sundae
Therefore,
30x + 50y = 420
15x + 35y = 270
multiply equation(ii) by 2
30x + 50y = 420
30x + 70y = 540
subtract equation(i) from equation(ii)
20y = 120
y = 120 / 20
y = 6
Hence,
30x + 50(6) = 420
30x + 300 = 420
30x = 420 - 300
30x = 120
x = 120 / 30
x = 4
Therefore,
cost of small sundae = 4 dollars
cost of large sundae = 6 dollars
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Select the correct answer.
Which graph shows a function and its inverse?
A. The first graph
B. The second graph
C. The third graph
D. The last graph
Answer:
B
Step-by-step explanation:
It is asking which graph show (x,y) for one line and (y,x) for the other line.
For example, the blue line shows (0,2) as a point and the red line shows ( 2,0) and so on and so on.
PLEASE HELP I WILL GIVE BRAINLIEST TO RIGHT ANSWER!!!!
1 3/5% of what number is 0.64?
Answer:
0.64 is 1 3/5% of 40
Step-by-step explanation:
Find the unit price (in dollars per ounce) if a 21-ounce can of pineapple costs $3.36.
a. $0.18 per ounce
b. $0.16 per ounce
c. $0.19 per ounce
d. $0.23 per ounce
e. $0.21 per ounce
48/8 6/w
1=?
Help me please helpp
Answer:
w = 1
Step-by-step explanation:
You have to divide 48 by 8 to get 6, so you have to divide 8 by 8 to find w.
8/8 = 1
at an ice cream store with five flavors of ice cream (peppermint, hoarhound, chocolate malt, gingerbread, and squirrel), ice cream scoops are stored inside the ice cream containers. what is the smallest number of ice cream scoops that would need to be in use so that two of the scoops would have to be stored in the same flavor ice cream container? how many ice cream scoops must be in use if 3 of them have to be stored in the same flavor ice cream container?
ANSWER: 10 ICE-CREAM SCOOPS
There are 5 icecream flavors
For each we need 2 scoops so = 2*5 = 10 scoops
therefore ther must be 10 icecream scoops in use for five flavors.
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Meow meow please help me
Answer:
area of trapezium → 1/2 × Sum of parallel sides × Distance between them.
Area → 15in² {given}
B1 → 4in
B2 → 6in
15 = 1/2 × ( 4+6 ) × h
h = 15 × 2 ÷ 10
h = 3in
I hope it's helpful
Answer:
i wouldd but likee
Step-by-step explanation:
i didnt pay a single second of attention in math
Which of the following is used to identify outliers in a set of data?
1.5(IQR)
1.5(range)
2(mean)
2(median)
A) 1.5 (IQR) is used to identify outliers in a set of data.
What is the Interquartile range (IQR)?
The interquartile range is a measure of statistical dispersion, or the spread of the data, in descriptive statistics.
The middle 50%, fourth spread, or H-spread are additional names for the IQR.
It is described as the discrepancy between the data's 75th and 25th percentiles.
The interquartile range is the best tool to use to find all of your outliers (IQR).
Knowing the IQR makes it simple to identify outliers because it represents the middle portion of your data.
Find the median (middle value) of the lower half and upper half of the data before calculating the interquartile range (IQR).
Quartile 1 (Q1) and Quartile 3 are these values (Q3).
The IQR represents the variation between Q3 and Q1.
As it is given in the description itself, the interquartile range is the best tool to use to find all of your outliers (IQR).
Therefore, (A) 1.5 (IQR) is used to identify outliers in a set of data.
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The correct question is given below:
Which of the following is used to identify outliers in a set of data?
(A) 1.5(IQR)
(B) 1.5(range)
(C) 2(mean)
(D) 2(median)
P.s hopes this helps
For f(x) = 4x + 1 and g(x) = x² - 5 find (g/f)(x)
I need help with this one :/
Answer:
always go with C- trust me its helped me alot
Step-by-step explanation:
(f+g)(x) = x2+4x−4
Explanation: add them together
f(x)+g(x)(4x+1)+(x2−5)4x+1+x2−5x2+4x−4(f+g)(x) = x2+4x−4
2. The height (cm) of a plant during a period can be described with a function where time is 24 hours after planting. y=3+34x
How tall is the plant after 4 days?
What does the value y=3 mean?
Here given ,
y = 3 + 34x
We have to find height of plant after 4 days,
so, x = 4,
by substituting x,
y = 3 + 34 x 4
= 3 + 136
= 139 cm
here y = 3 means,
The corresponding function when the value of y =3 .
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3x3 determinant of -2, 3, 8 6, 7, 1 4, 5, 9
What is the equation in point slope form of the line that passes through the point (1, −2)and has a slope of 3? Responses y−1=3(x+2) y plus 1 equals 3 open parenthesis x minus 2 close parenthesis y−2=3(x+1) y minus 2 equals 3 open parenthesis x plus 1 close parenthesis y+1=3(x−2) y plus 1 equals 3 open parenthesis x minus 2 close parenthesis y+2=3(x−1)
The equation in point slope form of the line that passes through the point (1, −2)and has a slope of 3 is y = 3x - 5
We need to find the equation in point slope form of the line that passes through the point (1, −2)and has a slope of 3
The point slope form of a equation of a line is
y - y₁ = m(x - x₁)
y - (-2) = 3 (x - 1)
y + 2 = 3x - 3
y = 3x - 3 - 2
y = 3x - 5
Therefore the equation in point slope form of the line that passes through the point (1, −2)and has a slope of 3 is y = 3x - 5.
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Please help!! Math is not my cup of tea and I’m really struggling!! ASAP
Given the function:
f(x)=x²-3x - 4
Find the following values.
a) f(2)
f(2)=
b) f(4)
ƒ(4)=
c) f(-3)
ƒ(-3) =
Answer: [tex]-6, 0, 14[/tex]
Step-by-step explanation:
[tex]f(2)=2^2 - 3(2)-4=-6\\\\f(4)=4^2 -3(4)-4=0\\\\f(-3)=(-3)^2 -3(-3)-4=14[/tex]
Answer:
5782
Step-by-step explanation:
td j envalentonado 8jdjdyzh d
The width of a rectangle is 5 feet, and the diagonal length of the rectangle is 12 feet. Which measurement is closest to the length of this rectangle in feet?
The measurement is closest to the length of the rectangle is √119 ft.
What is the measure of the length of the given rectangle?Pythagorean theorem states that the "square on the hypotenuse of a right-angled triangle is equal in area to the sum of the squares on the other two sides.
It is expressed as;
c = √( a² + b² )
Where c is the diagonal that divides the rectangle into two equal triangle, a and b are the other legs of the triangle.
Given the data in the question;
With ( First leg ) a = 5ftDiagonal c = 12ftSecond leg b = ?Plug the values into the formula and solve for b.
12ft = √( (5ft)² + b² )
Take the square of both sides
( 12ft )² = (5ft)² + b²
144ft² = 25ft² + b²
b² = 144ft² - 25ft²
b² = 119ft²
b = √( 119ft² )
b = √119 ft
Therefore, the measure of the length is √119 ft.
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What is the slope of the line that passes through the points (-2, 2) and (-4, -1)?
Write your answer in simplest form.
The slope of the line that passes through the points (-2, 2) and (-4, -1) is 3/2 i.e. 1.5 .
How can we define the slope for a given line?
A line's slope in mathematics is defined as the ratio of the change in the y coordinate to the change in the x coordinate. Both the net change in the y-coordinate and the net change in the x-coordinate are denoted by y and x, respectively. Therefore, the relationship between the change in the y-coordinate and the change in the x-coordinate is provided by the formula m = change in y/change in x = Δy/Δx, where "m" is the slope of a line.
Mathematically, slope of a line = m = (y₂ - y₁)/(x₂ - x₁)
Given, the line passes through the points (-2, 2) and (-4, -1)
Now, using the formula established in the literature, we get:
slope = m = (y₂ - y₁)/(x₂ - x₁) = (-1 - 2)/(-4 - (-2)) = -3/-2 = 3/2 = 1.5
Therefore, the slope of the line that passes through the points (-2, 2) and (-4, -1) is 3/2 i.e. 1.5 .
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Which relation is a function?
Responses
(1, 0), (3, 0), (1, 1), (3, 1), (1, 3)
(1, 0), (3, 0), (1, 1), (3, 1), (1, 3)
(1, 1), (2, 2), (3, 3), (4, 4), (5, 8)
(1, 1), (2, 2), (3, 3), (4, 4), (5, 8)
(2, 7), (6, 5), (4, 4), (3, 3), (2, 1)
(2, 7), (6, 5), (4, 4), (3, 3), (2, 1)
(9, -3), (9, 3), (4, -2), (4, 2), (0, 0)
Answer:{(2, 1), (5, 1), (8, 1), (11, 1), (14, 1), (17, 1)}
Step-by-step explanation: hope this helps
Find the distance between the ordered pairs.
(w + 2, m) and (2t, c - 3) when w = 6, m = 3, t = 4
and c = 10.
The distance between the ordered pairs is 4 units
What is distance formula?
Distance formula calculates the distance between two coordinates. it calculates the straight line distance between two points. The formula can be given as [tex]distance=\sqrt{(c-a)^{2}+(d-b)^{2} }[/tex] for the coordinates (a, b) (c, d)
We are given the ordered pair (w+2,m) and (2t,c-3)
We are given the value w = 6, m = 3, t = 4 and c = 10.
Substituting the values in the pairs
We get,
(6+2,3),(2(4),10-3)
(8,3),(8,7)
We use distance formula to find the distance
[tex]d=\sqrt{(8-8)^{2} +(7-3)^{2} }\\ d=\sqrt{4^{2} }\\ d=4[/tex]
Hence the distance between the ordered pairs is 4 units.
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Given the following image, what additional information would you need to know to prove the triangles really are similar by SAS Similarity?
Given the following image, what additional information would you need to prove that the triangles are actually similar by AA Similarity?
1. The additional information needed to prove that ΔABE ~ ΔDBC by SAS similarity is: c. AB/DB is proportional to EB/CB.
2. The additional information needed to prove that ΔABE ~ ΔDBC by AA similarity is: a. ∠A ≅ ∠D.
What is the SAS Similarity?The SAS similarity is a triangle theorem that proves that two triangles are similar to each other if they have two pairs of sides that are proportional to each other and a pair of included congruent angles.
What is the AA Similarity?The AA similarity states that of two angles in one triangle is congruent to two corresponding angles in another triangle, then the two triangles are similar based on these properties they have.
1. In the triangles shown in the image, we have a pair of congruent angles based on he definition of vertical angles: ∠ABE ≅ ∠DBC
We are also given the measure of two corresponding sides. These are not enough to show the triangles are similar by the SAS similarity.
The additional information needed is: c. AB/DB is proportional to EB/CB.
2. Only one pair of congruent angles is given which is not enough to prove the triangles are congruent by AA similarity.
The additional information needed would be: a. ∠A ≅ ∠D.
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What is the distance between 3 and 15?
The most appropriate choice for distance between numbers will be given by -
Distance between 3 and 15 is 12 units
What is distance between two numbers?
At first it is important to know about number line.
A pictorial representation of real numbers has been done along a horizontal straight line. That horizontal straight line is called number line. On a number line, all the integers has been placed at equal distance apart. In between integers, fractions, decimal numbers, rational numbers and irrational numbers can be marked. Number line can be used for addition or subtraction.
Distance between two numbers indicates how far one number is situated from other number on the number line.
Here,
Distance between 3 and 15 = 15 - 3
= 12 units
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What is the slope of y = -5x - 11
Answer:
0
Step-by-step explanation:
at the annual dog show, chantel noticed that there were three more scotties than schnauzers. she also realized that the number of wirehaired terriers was five less than twice the number of schnauzers. if there were dogs in all (counting schnauzers, scotties, and wirehaired terriers), how many schnauzers were there? write and solve an equation.
The no. of schnauzers in the annual dog show are 20.
Assume that there are x Schnauzers at the annual dog show.
Scotties entered in the yearly dog show: x + 3
There are 2x - 5 Wirehaired Terriers entered in the annual dog show.
There are 78 dogs in all competing in the yearly dog show.
Consequently, the equation becomes
x + x + 3 + 2x - 5 = 78.
4x - 2 = 78
4x = 78 + 2
4x = 80
x = 80/4
= 20
In the yearly dog show, there are 20 Schnauzers. I hope you can understand the process without too much trouble. It is crucial to thoroughly study the equation so that you can easily solve the issue.
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What is x in this equation
2(x-7)=-4
x = 5
2x - 14 = -4
2x = -10
x = 5
Answer: 5
Step-by-step explanation: First I took away the 2 on the left which was multiplying the brackets. Then because I did this I had to do the opposite to the other side. -4÷2
Then I just filled in the gaps 5-7=-2
Nancy spent 2 1/2 hours working on her homework on the weekend. she spent 4/5 of her time working her ela homework. how much time did nancy spend working on her ela homework?
The time Nancy spent working on her ela homework is equal to 2 hours.
The time Nancy spent working on her ela homework can be calculated by multiplication.
We can calculate it by multiplying the fraction of time spent by her on ela homework by the total time she spent on her homework.
As the total time spent by her on homework is 2 1/2 hours we can covert it into decimals as;
2 1/2 = 5/2 = 2.5 hours
Now multiplying it by the fraction of her time spent on ela homework,
Time spent on ela homework = 4/5 × 2.5
Time spent on ela homework = 10/5
Time spent on ela homework = 2 hours.
Hence Nancy spent 2 hours working on her ela homework.
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Choose the correct answer for each row.
Match each equation to the value of x that is the solution. Values of x may be used more than once and some will not be used.
Answer:
Step-by-step explanation: