Answer:
6
Step-by-step explanation:
R=3b
L=b+12
R= 3x6=18
L=6+12=18
Determine the vertex of the function f(x) = 3x2 – 6x + 13.
1. Identify the values of a and b.
a =
and b =
2. Find the x-coordinate of the vertex.
negative StartFraction b Over 2 a EndFraction =
3. Find the y-coordinate by evaluating the function at the x-value found in the previous step.
The vertex is
.
Answer:
1.)
A=3
B=-6
2.)
1
3.)
(1,10)
Answer:
1. Identify the values of a and b.
a =
✔ 3
and b =
✔ –6
2. Find the x-coordinate of the vertex.
negative StartFraction b Over 2 a EndFraction =
✔ 1
3. Find the y-coordinate by evaluating the function at the x-value found in the previous step.
The vertex is
✔ (1, 10)
Anne wants to create a data display to summarize prices of the 264 homes for sale in her
area. A sample of the data is shown below.
$72,000, $129,500, $132,000, $149,400, $152,000, $183,500, $225,000, $289,000, $348,000
She wants the display to show how many homes are available for homebuyers with various
budgets. Which data display is best for Anne's purpose?
a histogram, because the minimum and maximum values are clearly displayed
a box plot, because the median is clearly displayed
a box plot, because the data are divided into four ranges of values
a histogram, because the bars show the frequency of data points within different ranges
Answer:
The correct option is (D).
Step-by-step explanation:
The boxplot is a consistent way to exhibit the data-distribution based on, minimum, first quartile, median, third quartile and maximum.
Therefore we can say it provides information about the location of the center, dispersion and skewness (measure of asymmetry) of the data.
The methods commonly used for depicting a frequency distribution are:
Histogram/Column graph Bar graph Frequency Polygon Pie chartOut of these, one of the most general and extensively used devices of illustrating a frequency distribution is the histogram.
In this case it is provided that Anne wants the display of prizes to show how many homes are available for home buyers with various budgets.
So, Anne can set range of budget values and assign the number of buyers with various budgets.
From the provided data the range of budget values can be set as:
Less than $50,000
$50,000 - $100,000
$100,000 - $150,000
$150,000 - $200,000
$200,000 - $250,000
$250,000 - $300,000
$300,000 - $350,000
Thus, the histogram data display is best for Anne's purpose.
The correct option is (D).
This question is based on the concept of statistics. Therefore, the histogram data display is best for Anne's purpose. Hence, the correct option is D, histogram.
Given:
Anne wants to create a data display to summarize prices of the 264 homes for sale in her area. A sample of the data is shown below.
$72,000, $129,500, $132,000, $149,400, $152,000, $183,500, $225,000, $289,000, $348,000.
According to the question,
As we know that, the boxplot is consistent way to exhibit the data distribution based on the minimum, first quartile, median, third quartile and maximum.
Therefore, it provides information about the location of the center, dispersion and skewness (measure of asymmetry) of the data.
The following methods commonly used for depicting a frequency distribution are:
Histogram/Column graph Bar graph Frequency Polygon Pie chartOut of these, one of the most extensively used devices of illustrating a frequency distribution is the histogram.
In this question it is provided that, Anne wants the display of prizes to show how many homes are available for home buyers with various budgets.
Thus, Anne can set range of budget values and assign the number of buyers with various budgets.
From the given data the range of budget values can be written as:
Less than $50,000
$50,000 - $100,000
$100,000 - $150,000
$150,000 - $200,000
$200,000 - $250,000
$250,000 - $300,000
$300,000 - $350,000
Therefore, the data display is best for Anne's purpose. Hence the correct option is D, histogram.
For more details, prefer this link:
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True or False: Sine is the ratio of opposite side to adjacent side in a right triangle? *
Answer:
The ratio of the adjacent side of a right triangle to the hypotenuse is called the cosine and given the symbol cos. Finally, the ratio of the opposite side to the adjacent side is called the tangent and given the symbol tan.
Which of the following are whole numbers ?
Answer:
-1 and 3 should be right
Answer:
3
Step-by-step explanation:
Whole numbers are non-negative integers
A whole number can be 0 or positive with decimal/fraction part
factorise x+y
-ax-ay
Answer:
Step-by-step explanation:
x+y-ax-ay
by grouping the like terms,
x-ax+y-ay
since x and y are common in all the terms,
=x(1-a) + y(1-a)
= (1-a) ( x+y)
hope this helps
plz mark it as brainliest!!!!!!!!!
The factorized expressions of (x + y)² is
x² + y² + 2xy
The factorized expressions of (-ax - ay)² is
a²x² + ay² + 2a²xy
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Using middle-term factorization.
1)
(x + y)²
x² + y² + 2xy
2)
(-ax - ay)²
(-ax)² + (-ay)² + 2 x (-ax)(-ay)
a²x² + ay² + 2a²xy
Thus,
The factorized expressions are:
x² + y² + 2xy
a²x² + ay² + 2a²xy
Learn more about expressions here:
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plz help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
The scores for the Algebra 2 CFE are normally distributed with a mean score of 43 and
a standard deviation of 3.8. If you scored 47 on the test, what percentage of test takers
scored lower than you? Do not round your answer. [percent]
Answer:
85.375%
Step-by-step explanation:
We would be using the z-score formula which is
z = (x-μ)/σ, where
x is the raw score,
μ is the population mean, and
σ is the population standard deviation.
In the question, we are given:
x is the raw score = 47
μ is the population mean = Mean score = 43
σ is the population standard deviation = 3.8
z = (x-μ)/σ
z = (47- 43)/ 3.8
z = 4/3.8
z = 1.0526315789
The z score = 1.0526315789
Checking my z score on my normal distribution table,
The percentage of test takers that scored lower than you =
[1 - P(x>Z)] × 100
= ( 1 - 0.14625) × 100
= 0.85375 × 100
= 85.375%
Therefore, the percentage of test takers that scored lower than you is 85.375%
The given equation has been solved in the table.
Answer:
D. the subtraction property of equality was not applied.
Step-by-step explanation:
Step 1: Listed the statement
Step 2: applied the addition property of equality
Step 3: Simplified
Step 4: Applied the multiplication property of equality
Step 5: Simplified
~
One of the solutions of the system of equations shown in the graph has an x-value of -4. What is its corresponding integer y-value?
-1
-3
0
3
Answer:
The 1st intersection P(x, y) has x = -4 and y = -3 (as shown in graph).
Option B = -3 is correct.
Hope this helps!
:)
The y intercept value is option (B) -3
What is x intercept and y intercept?The x-intercept is where a line crosses the x-axis, and the y-intercept is the point where the line crosses the y-axis
Given
x intercept value = -4
From the graph we can say that y intercept value = -3
The y-intercept is the point where the line crosses the y-axis that is -3
Hence, the y intercept value is option (B) -3
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Paula invited some friends to dinner and she plans to make fajitas at the grocery store she spent $2.56 on red bell peppers and $1.92 on green bell pepper if both types of bell peppers cost $1.60 per pound how many total pounds of bell pepper does she buy
Answer: 2.8
Step-by-step explanation:
Given Data:
Money spent by Paula for red bell peppers = $2.56
Money spent by Paula on green bell peppers = $1.92
Both pepper cost = $1.60/ pound
Therefore:
Total pounds of bell peppers bought by Paula
= cost of green bell pepper + red red bell pepper / price/pound
= $2.56 + $1.92 / $1.60
= $4.48 / $1.60
= 2.8 pounds
Paula bought 2.8pounds of pepper
Answer:
2.8
Step-by-step explanation:
find the degree of the monomial x^2 z^3
Answer:
5
Step-by-step explanation:
Degree of monomial = 2 + 3 = 5
The formula to calculate the area of a circle from its circumference is:
A =c2/4π
Answer:
(if its a true or false question) True
Step-by-step explanation:
We know-
Area of a circle =
A=(π)r2
Circumference of a circle =
C=2(π)r
Where pi is a constant and r is the radius of the circle.
Using these two formulas we can express A in terms of C as follows:
c2=[2(π)r]2
⇒ c2=4[(π)2]r2 ⇒ c2=4(π)[(π)r2]
As (π)r2=A ⇒c2=4(π)A
Therefore:
A=c2/4(π)
Answer:
the answer is b
Step-by-step explanation:
....
Solve the 3x3 system shown below. Enter the values of x, y, and z.
x+2y-x=-3
2x-y+z=5
x-y+z=4
Answer:
x = 1
y = -1
z = 2
Step-by-step explanation:
You have the following system of equations:
[tex]x+2y-z=-3\ \ \ \ \ (1)\\\\2x-y+z=5\ \ \ \ \ \ (2)\\\\x-y+z=4\ \ \ \ \ (3)[/tex]
First, you can subtract euqation (3) to equation (1):
x + 2y - z = -3
-x +y -z = - 4
0 3y -2z = -7 (4)
Next, you can multiply equation (3) by 2 and subtract it to equation (2):
2[ x -y + z = 4]
-2x +y -z = -5
0 -y + z= 3 (5)
You multiply equation (5) by 2 and sum (5) with (4):
2[ -y + z = 3]
3y -2z= -7
y + 0 = -1
Then y = -1
Next, you replace y=-1 in (5) to obtain z:
-(-1) + z = 3
z = 2
Finally, you can replace z and y in the equation (3) to obtain x:
x - (-1) + (2) = 4
x = 1
Answer: x=1 y=-1 z=2
Step-by-step explanation:
solve |-4|/|-4| please help
Answer:
i think the answer is 1 dont take my word for it though
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
The absolute value of -4 is 4, therefore |-4|/|-4| = 4/4 = 1
A triangle has side lengths of 13, 9, and 5. Is this a right triangle?
Answer:
no
Step-by-step explanation:
a^2+b^2 = c^2
Bob the Wizard makes magical brooms. He charges 125 gold pieces for each magical broom he makes for his customers. He also charges a one-time fee of 50 gold pieces for his initial consultation. The total number G of gold pieces Bob charges is a function of x, the number of magical brooms he makes. Write the function's formula.
Answer:
y= 125x + 5o
Step-by-step explanation:
Since the constant is 125 we add the x to show each broom he makes. The one time fee is not a constant so therefore it will only be added once.
Answer:
f(x)=125g+50
Step-by-step explanation:
He is charging $125 for each gold piece so you would multiply “g” and 125.
You would add 50 as a one time fee so you add 50.
Calculate the value of sin X to four decimal places
Answer:
0.7241
Step-by-step explanation:
sin = [tex]\frac{opposite}{hypotenuse}[/tex]
In this case we have the hypotenuse (2.9) but not the opposite so here is how you calculate it
[tex]a^{2}+b^{2}= c^{2} \\\\2^{2}+ b^{2}= 2.9^{2} \\4+ b^{2} = 8.41\\\\\sqrt{b^{2} }= \sqrt{4.41} \\b= 2.1[/tex]
So now you have the opposite (2.1)
so now you would divide [tex]\frac{2.1}{2.9} or 0.7241[/tex]
Answer:
[tex] \sin X = 0.7241 [/tex]
Step-by-step explanation:
For angle X, 2.0 ft is the adjacent leg. 2.9 ft is the hypotenuse.
The trig ratio that relates the adjacent leg to the hypotenuse is the cosine.
[tex] \cos X = \dfrac{adj}{opp} [/tex]
[tex] \cos X = \dfrac{2.0}{2.9} [/tex]
[tex] \cos X = 0.689655 [/tex]
Since we now know the value of cos X, we can find the value of sin X by using the trig identity
[tex] \sin^2 X + \cos^2 X = 1 [/tex]
[tex] \sin^2 X + (0.689655)^2 = 1 [/tex]
[tex] \sin^2 X = 0.524376 [/tex]
[tex] \sin X = 0.7241 [/tex]
Find the midpoint of the segment with the following endpoints. (6,8) and (10,4)
Answer:
(8.6)
Step-by-step explanation:
To find the x coordinate of the midpoint, find the average of the x coordinates
(x1+x2)/2 = (6+10)/2 = 16/2 = 8
To find the y coordinate of the midpoint, find the average of the y coordinates
(y1+y2)/2 = (8+4)/2 = 12/2 = 6
Answer:
(8,6)
Well my explanation might be weird...so I won't explain it but I'm pretty sure I got the correct answer:>
Electronics unlimited sells tvs. There are 110 tvs on display in the showroom, and each tv is turned on to a random channel from a set of 11 channels, 7 sport channels, 3 news channels, and one movie channel. Which statement best predicts how many tvs will not be showing a sports channel?
Answer:
b
Step-by-step explanation:
khan
Monica put 1 L, 2 centiliters, and 7 milliliters of water into a bowl. how many milliliters of water did she put in the bowl?
Answer:
1,027 milliliters
Step-by-step explanation:
1 liter is 1,000 milliliters
2 centiliters is 20 milliliters
7 milliliters stays the same
Adding up the new numbers gives you
1,000+20+7
Find the volume of the prism.
36 m
3 m
5 m
Answer:=40m
Step-by-step explanation: 36m+3m+5m
Answer:
540m
Step-by-step explanation:
For his hiking club, Ricardo is making a container of trail mix with 3.5 kilograms of nuts. He has 1.78 kilograms of almonds. The rest of the nuts will be cashews. How many kilograms of cashews does he need? Use estimation to check your answer for reasonableness.
Answer: 1.72 kilograms
Step-by-step explanation:
From the question, Ricardo is making a container of trail mix with 3.5 kilograms of nuts and he has 1.78 kilograms of almonds while the remaining of the nuts will be cashews.
To get the kilograms of cashews nuts that are needed, we subtract the kilograms of almonds from the total container. This will be:
= 3.5 kg - 1.78 kg
= 1. 72 kg
Create an algebraic expression with at least 2 variables, 2 different operations and a constant.
Choose values for all your variables but you must include at least one fraction or decimal number.
Lastly, Evaluate your expression showing all steps.
Answer:
let's choose
5x+3x-7y+2x-16y+3+-5y
1) give values to our variables:
x=3
y=4
so
5(3)+3(3)-7(4)+2(3)-16(4)+3-5(4)
15+9-28+6-64+3-20
1) first take this step-by-step and solve each term from left-right
15+9=24
24-28=-4
-4+6=2
2-64=-62
-62+3=-59
-59-20=-79
-79 is the answer
The ratio of the leg opposite to an angle to the hypotenuse of a right triangle is
called the ____ of the angle.
A. sine
B. secant
C. cosine
D. cosecant
Answer:
cosine I think
Step-by-step explanation:
The ratio of the perpendicular and the hypotenuse is given by the sine of the angle. Then the correct option is A.
What is trigonometry?Trigonometry deals with the relationship between the sides and angles of a right-angle triangle.
The ratio of the leg opposite to an angle to the hypotenuse of a right triangle is called the sine of the angle.
The sine is given as the side opposite to the angle is known as perpendicular.
The ratio of the perpendicular and the hypotenuse is given by the sine of the angle.
More about the trigonometry link is given below.
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Jims fish bowl contains x tetras, 3 goldfish, and 5 platies. He removes one fish from the fish bowl at random. If the probability of removing a gold fish from the bowl is 1 out of 3 , how many tetras does jim have.
Answer: x = 1
Step-by-step explanation:
we have
x tetras
3 goldfish
5 platies.
the total number of fishh in the bowl is x + 3 + 5
The probability of removing a gold fish is equal to the number of gold fish divided by the total number of fish, this is:
p = 3/(x + 3 + 5) = 1/3
3 = (1/3)(x + 3 + 5) = x/3 + 1 + 5/3
9 = x + 3 + 5
x = 9 - 8 = 1
then wemust have that x = 1
because 1 + 3 + 5 = 9
and 3/9 = 1/3
In a café, drinks are priced according to what size they are.
The table shows the different sizes and costs.
Size of drink
Cost
Extra Small
£1.00
Small
£1.50
Medium
£2.00
£2.50
Large
Extra Large
£3.00
a) Gavin pays for one extra small and three large drinks.
Altogether, how much did they cost?
b) Lian pays for one small, one medium and one extra large drink
She pays with a £10 note.
How much change should she get?
A scale drawing is shown for clubhouse. The measurements are 4“ x 8“ what will the actual clubhouse measurements be if the scale factor is 1 inch equals 2 feet
Answer:
8ft. x 16ft.
Step-by-step explanation:
If each inch is scaled to 2 ft, then you simply multiply the values by two. The new scaled dimensions would be 8 x 16 ft. Hope this helps.
secant zv interscts secant zw at point z find the length of tw
Answer:
MN ;K ;K ;K ;K
Step-by-step explanation:
Helpppppp meeeee pleaseeeeee!!!!
Answer: 15
Step-by-step explanation:
Just count the dots :)
-16 = 5 + 3x what is the constant and coefficient
Answer: help me with my questions
Step-by-step explanation:
Click on my profile answer my question and get branliest
Answer:
The constant is 5 and the coefficient is 3.
Step-by-step explanation:
The constant is something that does not change, which would be 5 because it stays 5 no matter what.
The coefficient is the number before the variable, which would be 3 because it changes depending on the x value.
I hope this helps! :)
