The price of Apple stock, A(X), over a 12 month period decreased and thenincreased according to the equation A(x) = x x 0, where x equals the number ofmonths. The 2 - 6 + 2 price of Baller stock B(x), increased according to theequation B(x) = 3x + 2 over the same 12-month period. When were both stockvalues the same?
Answers
The question is: When we're both stock values the same? Then all you have to do is match both equations and solve for x, like this
[tex]\begin{gathered} A(x)=x^2-6x+20 \\ B(x)=3x+2 \\ \text{ Matching you have} \\ x^2-6x+20=3x+2 \\ \text{Subtract 3x from both sides of the equation} \\ x^2-6x+20-3x=3x+2-3x \\ x^2-9x+20=2 \end{gathered}[/tex][tex]\begin{gathered} \text{Now subtract 2 from both sides of the equation} \\ x^2-9x+20-2=2-2 \\ x^2-9x+18=0 \end{gathered}[/tex]Factoring the trinomial you get
[tex]x^2-9x+18=(x-6)(x-3)=0[/tex]Which implies that
[tex]\begin{gathered} x-6=0 \\ x=6 \\ \text{ or} \\ x-3=0 \\ x=3 \end{gathered}[/tex]Therefore, since x corresponds to the number of months, then the values of the two shares were equal at 3 and at 6 months.
Related Questions
It is one question the three images are the options for answers to the question.
Answers
Write the equation of the line in fully simplified slope-intercept form.
pls helpp me
Answers
Answer:
y= 1/5x -7
Step-by-step explanation:
1/5 is the slope
-7 is the y-intercept
84 points + brainliest if well explained and correct:
During a thunderstorm at a sports event, a detector goes off to let participants know there is lightning in the area so people can seek shelter. The accuracy of the lightning detector is summarized in the table.
Lightning detector activates Lightning detector does not activate Row Totals
Lightning in area 88% 2% 90%
No lightning in area 7% 3% 10%
Column Totals 95% 5% 100%
What is the ratio of false positives to false negatives in this scenario? Round your answer to one decimal place.
0.1
1.5
2.3
3.5
Answers
The ratio of false positives to false negatives is (d) 3.5
How to determine the ratio?The table of values is given as
Activates. Does not activate Row Totals
Lightning in area 88% 2% 90%
No lightning in area 7% 3% 10%
Column Totals 95% 5% 100%
The false negative is when there is lighting and it does not activate
So, we have
False negative = 2%
The false positive is when there is no lighting and it activates
So, we have
False positive = 7%
When represented as ratio, we have
Ratio = 7% : 2%
So, we have
Ratio = 7 : 2
This gives
Ratio = 7/2
Evaluate
Ratio = 3.5
Hence, the ratio is (d) 3.5
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Which of the following terms is defined as a set of all points in a planethat are a given distance from a point?O CircleO Line segmentO RayO Parallel line
Answers
Given:
A set of all points in a plane that are a given distance from a point.
Required:
To choose the correct option for the given definition.
Explanation:
A circle is the set of all points in a plane that are equidistant from a given point called the center of the circle.
Final Answer:
A set of all points in a plane that are a given distance from a point is called circle.
The aspect ratio for a computer screenis 118. If the width of the computer screen is 13.5inches. What is the begi of the mean?Answer question 1 photo attached
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The aspect ratio for a computer screen is
if the width equals 13.5, then the height is:
[tex]h=\frac{13.5}{1.8}=7.5[/tex]Whats the Square root of 32 to the power of 5
Answers
Answer:
2^25/2
Step-by-step explanation:
We express them as a power of 2 using laws of indices
14. You buy a package that contains 10 1/2 cups of fruit and nut mix. How many snack bags each with 3/4 cup of fruit and nut mix can you fill from the package?
Answers
Given:
The package contains 10 1/2 cups of fruit and nut mix
When need to snack bags, each bag contain 3/4 cup
So, to find the number of bags, divide 10 1/2 by 3/4
so, the number of bags =
[tex]10\frac{1}{2}\div\frac{3}{4}=\frac{21}{2}\div\frac{3}{4}=\frac{21}{2}\cdot\frac{4}{3}=7\cdot2=14[/tex]So, the answer is: the number of bags = 14
Got It? Do these problems to find out.
b. y = x-5
c. y = -2x
pls help, thanks!
Answers
Answer:
For b, you just start at (0,-5)(go down 5 on the y-axis), and go one up, one over to the right, and for c, just start at (0,0) and go right one, up 2
Step-by-step explanation:
I NEED HELP! ASAP! WILL GIVE 50 POINTS!
Answers
Answer:
Of 20,000 people that apply, 6300 actually enroll.
Step-by-step explanation:
70% of 20,000 is 14,000
45% of 14,000 is 6,300
A restaurant offers a 20% off coupon. The tax rate is 7.5% . If an item is listed at $15 , how much does it cost after the coupon and tax have been applied?
Answers
Answer:
11.10 or 11.1
Step-by-step explanation:
1. 15 x 0.075= 1.125 or 1.13
2. 15-1.13=13.87
3. 13.87 x 0.20= 2.774 or 2.77
4. 13.87 - 2.77 = 11.10 or 11.1
can someone help me with this assignment pls
Answers
The order pair (3, 14) is from the given scatter plot.
What is scatter plot?Scatter plots are used to observe and plot relationships between two numeric variables graphically with the help of dots. The dots in a scatter plot shows the values of individual data points.
• A scatter plot with increasing values of both variables can be said to have a positive correlation.
• A scatter plot with an increasing value of one variable and a decreasing value for another variable can be said to have a negative correlation.
In the given scatter plot, the order pair with x-coordinate 3 is 14
So, the order pair is (3, 14)
Therefore, the order pair (3, 14) is from the given scatter plot.
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What is the solution to the missing side of the figure, rounded to the nearest tenths place?A) 16.2.B.) √261C) 16.1D.) 261
Answers
The figure appears to be a triangle with the following measures:
Opposite Side = a = 6
Adjacent Side = b = 15
Hypotenuse = c = unknown
To be able to find the measure of the unknown side, since it appears to be a right triangle, we will be using the Pythagorean Formula:
[tex]\text{ c}^2=a^2+b^2[/tex][tex]\text{ c = }\sqrt[]{a^2+b^2}[/tex][tex]\begin{gathered} \text{ c = }\sqrt[]{(6)^2_{}+(15)^2} \\ \end{gathered}[/tex][tex]\text{ = }\sqrt[]{36\text{ + 225}}[/tex][tex]\text{ = }\sqrt[]{261}[/tex][tex]\text{ c = }\sqrt[]{261}\text{ = 16.1554944214}[/tex]
b. A family of four went to see a live concert in Vancouver. Each family member bought
a commemorative concert T-shirt, which cost 1/5 of the price of a ticket. The total bill
for 4 tickets and 4 T-shirts was $384. How much did each ticket and each T-shirt cost?
Answers
The cost of 1 ticket is $80 and the cost of 1 T-Shirt is $16 .
In the question ,
it is given that ,
a family of four people went to see a live concert in Vancouver ,
and the price of T-shirt is 1/5 of the price of the ticket .
let the price of 1 ticket be = x ,
so , the price of 1 T-Shirt be = x/5 .
also given that the bill for 4 tickets and 4 T-Shirts was $384 ,
that means
4x + 4x/5 = 384
taking LCM as 20 and solving further ,
we get,
20x/5 + 4x/5 = 384
24x/5 = 384
24x = 384*5
24x = 1920
x = 1920/24
x = 80
the cost for T-Shirt = 80/5 = 16
Therefore , The cost of 1 ticket is $80 and the cost of 1 T-Shirt is $16 .
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If a = [tex]\frac{2 + \sqrt{5}}{2}[/tex], find the value of [tex]a^{2} + \frac{1}{a^{2} }[/tex].
Answers
The value of [tex]a^{2} +\frac{1}{a^{2} }[/tex] if [tex]a=\frac{2+\sqrt{5} }{2}[/tex] is solved to be
5.1How to determine the equationThe equation is solved by substituting for a in the given equation [tex]a^{2} +\frac{1}{a^{2} }[/tex]
[tex]a^{2} +\frac{1}{a^{2} }[/tex]
substituting for a
[tex](\frac{2+\sqrt{5} }{2})=(1+\frac{\sqrt{5} }{2})[/tex]
[tex](1+\frac{\sqrt{5} }{2})^{2} =(1+\frac{\sqrt{5} }{2})*(1+\frac{\sqrt{5} }{2})=1+2\frac{\sqrt{5} }{2} +\frac{5}{4}=\sqrt{5} +\frac{9}{4}=4.48607[/tex]
= 4.8607 + 1/4.48607
= 5.0664
Substituting the value of a in the equation and solving resulted to 5.1
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Calculate the following trig ratios. Round to the nearest fourth place. 25 and 45
Answers
Apply the trigonometric functions:
Sin B = opposite side / hypotenuse:
Where:
B : angle
Opposite sid
Leah is buying titles for her bathroom. Each tile is 3/8 foot wide and covers an area that is 7/3 square feet. The bathroom floor is in the shape of a rectangle. She is putting 8 tiles along the longer wall of the bathroom and 5 tiles along the shorter wall of the bathroom. What is the perimeter of the bathroom? The bathroom and one tile are pictured below.
Answers
The perimeter of the rectangular floor is 103 feet.
What are rectangles?With four sides, four corners, and four right angles (90°), a rectangle is a closed 2-D object. A rectangle's opposing sides are equal and parallel.Since a rectangle is a two-dimensional form, it has two dimensions: length and width. The rectangle's length is its longer side, while its width is its shorter side.So, the perimeter of the bathroom floor will be:
First, let the length of the tiles be 'x'.Now,
7/3 = x × 3/8x = 7/3 ÷ 3/8x = 7/3 × 8/3x = 56/9So, the length of the tile is 56/9.
Now, the l and b of the rectangular floor will be:
56/9 × 8 + 3/8 × 5448/9 + 15/88(448) + 9(15)/723584 + 135/723719/7251.65Formula is: 2(l+b)
Now,
2 × 51.65103.3Rounding off: 103 feet
Therefore, the perimeter of the rectangular floor is 103 feet.
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3.152 written as an improper fraction or a mixed number and explained how it was done.
Answers
Answer: 3.152 as an improper fraction would be: 394 / 125
Step-by-step explanation: You can take any number, such as 3.152, and write a 1 as the denominator to make it a fraction and keep the same value, like this:
3.152 / 1
To get rid of the decimal point in the numerator, we count the numbers after the decimal in 3.152, and multiply the numerator and denominator by 10 if it is 1 number, 100 if it is 2 numbers, 1000 if it is 3 numbers, and so on.
Therefore, in this case we multiply the numerator and denominator by 1000 to get the following fraction:
3152 / 1000
Then, we need to divide the numerator and denominator by the greatest common divisor (GCD) to simplify the fraction.
The GCD of 3152 and 1000 is 8. When we divide the numerator and denominator by 8, we get the following:
394 / 125
(have a nice day)
-2/3 (x-7) = 1/6 (x+1) -3
Answers
Answer: x = 9
Step-by-step explanation:
We will isolate the variable x to solve this equation.
Given:
-2/3 (x-7) = 1/6 (x+1) -3
Distribute:
-2/3x + 14/3 = 1/6 (x+1) -3
-2/3x + 14/3 = 1/6x + 1/6 -3
Combine like terms on the right side using subtraction:
-2/3x + 14/3 = 1/6x - 17/6
Subtract 1/6x from both sides of the equation:
-5/6x + 14/3 = - 17/6
Subtract 14/3 from both sides of the equation:
-5/6x = -15/2
Divide both sides of the equation by -5/6:
x = 9
Which situation could be represented by the graph
Answers
Answer:
what graph
Step-by-step explanation:
Solve for a side in right triangles
Answers
The length of AC is 2.96 units using trigonometric ratio.
What are the trigonometric ratios?
Sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant are the six trigonometric ratios. A branch of mathematics called trigonometry in geometry deals with the sides and angles of a right-angled triangle.
Given that angle A = 65° and AB = 7 units.
The base of △ABC is AC, height is BC, and hypotenuses is AB.
Cosine of angle is the ratio of base to hypotenuses.
Thus cos 65° = AC/AB
Substitute AB = 7
cos 65° = AC/7
Multiply both sides by 7:
7 × cos 65° = AC
Putting cos 65° = 0.42261826174
7 × 0.42261826174 =AC
AC = 2.95832783218
AC = 2.96 (nearest hundredth)
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The number of infected
zombies triples every
hour. How many
zombies are there after 6
hours if one zombie was
initially infected?
Answers
Answer:
f(x) = 4(1.15)6.
Step-by-step explanation:
octavia simplified the expression as shown explain octavia’s error and correct her work
Answers
To simplify
[tex](3x^9)^2(3x^2)^4[/tex]First of all, Octavia error can be spotted from the correct steps below
Step1: Expand the expression
[tex]3^2\times x^{9\times2}\times3^4\times x^{2\times4}=3^2\times x^{18}\times3^4\times x^8[/tex]Step2: Collect like terms
[tex]3^2\times3^4\times x^{18}\times x^8[/tex]Step 3: Simplify by using exponents laws
[tex]3^{2+4}\times x^{18+8}=3^6\times x^{26}[/tex]Step 4: Combine the terms.
The value is
[tex]729x^{26}[/tex]Her error was that she didn't apply the exponents' law properly.
One of the laws she violated was
[tex](a^b)^c=a^{b\times c}[/tex]Her mistake was that she did
[tex](a^b)^c=a^{b+c}\text{ which is wrong}[/tex]So she missed it from our step 1 above
what is the answer to 8.34x0.5
Answers
The measures of two complementary angles are described by the expressions (11x−11)° and (16x−7)°. Find the measures of the angles.I know complementary when their measures add to 90 degrees. but I'm not to sure where to plug the numbers in
Answers
Given:
[tex](11x-11)^{\circ}and(16x-7)^{\circ}\text{ forms an complementary angles.}[/tex][tex]\begin{gathered} 11x-11+16x-7=90 \\ 27x-18=90 \\ 27x=90+18 \\ 27x=108 \\ x=\frac{108}{27} \\ x=4 \end{gathered}[/tex]14 in 8 in 5 in 7 in 9 in 15 in
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To find the area of the whole figure, we can divide it into two rectangles, the smaller rectangle has dimensions of 5 inches by 8 inches.
[tex]A_{small}=5in\times8in=40in^2[/tex]The bigger rectangle has dimensions of 9 inches by 15 inches.
[tex]A_{bigger}=9in\times15in=135in^2[/tex]Then, we add
[tex]A=40+135=175in^2[/tex]Hence, the area of the figure is 175 square inches.A pack of cinnamon-scented pencils sells for $8.00. What is the sales tax rate if the total cost of the pencils Is $8.56 The sales tax rate is ___%
Answers
To find the tax rate we can use the rule of three.
[tex]\begin{gathered} 8\rightarrow100 \\ 8.56\rightarrow x \end{gathered}[/tex]Then,
[tex]x=\frac{8.56\cdot100}{8}=107[/tex]Now, since 8.56 dollars represents 107% of the prices, this means that the tax rate is 7.
The difference of a number and 6 is the same as 5 times the sum of the number and 2. What is the number?A 4B. -2C -1D. 1
Answers
You need to know the following:
1. The "difference" is the result of a subtraction.
2. The word "times" indicates a multiplication.
3. The sum is the result of an addition.
Let be "n" the number mentioned in the exercise.
Knowing the explained above, you know that "the difference of a number and 6" can expressed as:
[tex]n-6[/tex]And "5 times the sum of the number and 2" can be expressed as:
[tex]5(n+2)[/tex]Therefore, "the difference of a number and 6 is the same as 5 times the sum of the number and 2" can be written as the following equation:
[tex]n-6=5(n+2)[/tex]Now, in order to find the number, you must solve for "n":
[tex]undefined[/tex]Write an equation in slope-intercept form for the graph shown.
Answers
Answer:
y= 2x-3
Step-by-step explanation:
4/2 OR 2 is the slope
-3 is the intercept
12)50 students took a quiz with five questions. The frequency table below shows the results of the quiz. Use the frequency table to answer the following questions. ValueFrequencyRelative FrequencyCumulative Frequency040.084180.1612260.1218320.04204150.3355150.350a)How many students answered exactly 3 questions correctly?Number of students answered exactly three questions = 2b)How many students answered less than 3 questions correctly?c)What proportion (percent) of students answered exactly 4 questions correctly?
Answers
From the table, we have:
• The first column (Value),: indicates the # of correct answers,
,• The second column (Frequency),: indicates the # of students that answer the # of correct answers to the left in the table,
,• The third column (Relative Frequency),: indicates the proportion of the # of students to the total,
,• The fourth column (Cumulative Frequency),: gives the sum of the previous frequencies up to that row.
Using these data, we answer the questions:
a) Looking at the column Frequency for Value = 3, we find that 2 students answered exactly 3 answers correct.
b) Looking at the column Cumulative Frequency for Value = 2 (the previous value to 3), we find that 18 students answered less than 3 questions correctly.
c) Looking at the column Relative Frequency for Value = 4, we find that 0.3 = 0.3 * 100% = 30% of the students answered exactly 4 questions correctly.
Answera) 2
b) 18
c) 30%
There are 83 skiers in line to ride the chair lift. If each chair seats 6 people, how many skiers will be on the last chair?
Answers
Answer:
4 people will be on the last chair.
Step-by-step explanation:
60 divided by 5 is 12. There will be 12 full seats. 64 - 60 is 4 so there will be 4 more on the last chair.
Hope this helped!