Find the missing side. Round answer to the nearest tenth.46°X145.910.10 0 0 013.219.5
Answers
Given the rigth triangle, you have to determine the length of the missing side marked with an x.
To do so you have to apply the trigonometric functions, these are calculated as:
[tex]\begin{gathered} \sin \theta=\frac{opposite}{\text{hypotenuse}} \\ \cos \theta=\frac{adjacent}{hypotenuse} \\ \tan \theta=\frac{opposite}{adjacent} \end{gathered}[/tex]Where
θ is one of the inner angles of the triangle.
"opposite" indicates the opposite side to than angle
"adjacent" is the side in contact or next to the angle
and "hypotenuse" is the longest side of the triangle.
In this exercise we know the measure of the angle and the hypotenuse, the trigonometric function you have to use to determine the length of "x" is the Sine:
[tex]\begin{gathered} \sin \theta=\frac{opposite}{hypotenuse} \\ \text{opposite}=\sin \theta\cdot hypotenuse \end{gathered}[/tex]Replace with:=46º
hypotenuse=14
opposite=x
[tex]\begin{gathered} x=\sin 46\cdot14 \\ x=10.07\cong10.1 \end{gathered}[/tex]Correct option is b. 10.1
Related Questions
A bank account gathers compound interest at a
rate of 5% each year.
Another bank account gathers the same amount of
money in interest by the end of each year, but
gathers compound interest each month.
If Cameron puts £4200 into the account which
gathers interest each month, how much money
would be in his account after 2 years and
7 months?
Give your answer in pounds to the nearest 1p.
Answers
Based on the amount that Cameron invests in the bank account that gathers interest each month, the amount in the account after 2 years and 7 months is £4,777.81
How to find the amount in the account?The number of periods in months is:
= 2 years and 7 months
= 31 months
The periodic interest in months is:
= 5% / 12 months
= 5/12%
The amount in the bank account after 2 years and 7 months is:
= 4,200 x (1 + 5/12%)³¹
=£4,777.81
In conclusion, the amount after 2 years and 7 months have elapsed is £4,777.81
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Demarcus and Lauren each take out a $90,000 loan for a new condo. Each has to repay the loan in 10 years. Demarcus will pay an interest rate of 2.8% per year. His monthly payments will be $771. Because Lauren has a lower credit score, she will have to pay an interest rate of 3.7% per year. Her monthly payments will be $840. How much more will a $90,000 loan cost Lauren than Demarcus?
Answers
The amount that a $90,000 loan cost Lauren than Demarcus will be $8280.
How to calculate the value?From the information, Demarcus and Lauren each take out a $90,000 loan for a new condo and each has to repay the loan in 10 years. It should be noted that 10 years in months will be:
= 10 × 12 = 120 months
The difference in the amount paid as a result of the credit score will be:
= ($840 × 120) - ($771 × 120)
= $100800 - $92520
= $8280
Therefore, the amount is $8280.
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Find 4/9 divided by 7/8 use multiplication to check your result
Answers
Hope it helps you
In evaluating the expression 8+ 9/4 (-2) jenny found the volume to be 25/2. She thinks that the number is too great, but is not sure what she did wrong. Evaluate the expression
Answers
After evaluting the expression 8+ 9/4 (-2) we get 8 1/4.and result in decimals: 8.25
Given expression -
8+ 9/4 (-2) = ?
Combine the whole numbers and fractions together:
(8 – 2) + (9/4 - 0)
The whole numbers part is:
8 – 2 = 6
For the fractions part:
(9/4 - 0)
The Least Common Multiple (LCM) of 4 and 1 is 4. Multiply the numerator and denominator of each fraction by whatever value will result in the denominator of each fraction being equal to the LCM:
9/4 - 0 = 9/4 - 0/4
Now that the fractions have like denominators, subtract the numerators:
9 - 0/4 = 9/4
9 ÷ 4 = 2R1, therefore
9/4 = 2 1/4
Put the whole number and fraction together:
6 +2(1/4) 1
8 1/4.
Hence , the result of the expression 8+ 9/4 (-2) = 8 1/4.
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bacteria reveals a sample mean of ¯x = 70 hours with a standard deviation of s = 4.8 hours.What sample size should you gather to achieve a 0.4 hour margin of error? Round your answer up to the nearest whole number.
Answers
Solution
The formula for calculating margin of error is given to be
[tex]\begin{gathered} E=0.4 \\ n=? \\ \sigma=4.8 \\ p(x<\frac{Z_{\alpha}}{2})=\frac{1-0.9}{2}=\frac{0.1}{2}=0.05 \\ From\text{ the z-score and probability converter table, } \\ \frac{Z_{\alpha}}{2}=1.645 \end{gathered}[/tex][tex]\begin{gathered} Thus, \\ 0.4=1.645(\frac{4.8}{\sqrt{n}}) \\ Divide\text{ both sides by 1.645} \\ \frac{0.4}{1.645}=\frac{4.8}{\sqrt{n}} \\ 0.24316=\frac{4.8}{\sqrt{n}} \\ 0.24316\sqrt{n}=4.8 \\ \sqrt{n}=\frac{4.8}{0.24316} \\ \sqrt{n}=19.74 \\ n=19.74^2 \\ n=389.67 \\ n=390(nearest\text{ whole number\rparen} \end{gathered}[/tex]n = 390 bacteria (nearest whole number)
A weather researcher compared average monthly temperature data for Rio deJaneiro, Brazil, and Caracas, Venezuela.Rio de Janelro CaracasMean 76.5°F74.5°FRange 11.1°F17.4°FBased on these data, which statements are true?A. On average, Rio de Janeiro has a higher monthly temperature.However, temperatures in Caracas vary more.B. On average, Rio de Janeiro has a higher monthly temperature. Itsmonthly temperatures also vary more.C. On average, Caracas has a higher monthly temperature. However,temperatures in Rio de Janeiro vary more.D. On average, Caracas has a higher monthly temperature. Itsmonthly temperatures also vary more.
Answers
The mean and the average values are the same. They represent a dataset by calculating the central value.
The range can be understood as the variation of the data. The higher the range, the wider the variation.
From the table, we can see the average temperature of Rio de Janeiro is higher than in Caracas.
We can also see the variation of the temperature is higher in Caracas than in Rio de Janerio.
This corresponds to choice A.
The aquarium has 6 fewer yellow fish than green fish. 40% of the fish are yellow. How many green fish are in the aquarium? Show your work
Answers
Answer: 18 fishes
Step-by-step explanation:
y=0.40(y+g)(2)
g-6=0.40(g-6)+0.40g
=0.40g-2.4+0.40g
=3.6/0.2
g=
Please hurry due today I will give you brainlest
Which numbers are solutions of x² + 20 = 9x + 2? choose
Answers
Answer:
x = 6 or x = 3
Step-by-step explanation:
Solve for x over the real numbers:
x^2 + 20 = 9 x + 2
Subtract 9 x + 2 from both sides:
x^2 - 9 x + 18 = 0
The left-hand side factors into a product with two terms:
(x - 6) (x - 3) = 0
Split into two equations:
x - 6 = 0 or x - 3 = 0
Add 6 to both sides:
x = 6 or x - 3 = 0
Add 3 to both sides:
Answer: x = 6 or x = 3
HELP ASP YOULL GET 20 POINTS AND BRAINLIEST!!!
Answers
Answer:
7 Games
Step-by-step explanation:
1. take the information and put it into a equation (being y=3.25x+3 or f(x)=3.25+3)
2. replace the x with a whole number because you can't bowl half a game.
Ex: f(3)=12.75 or f(6)=22.50
3. The highest you can go without going over your money is 7 games ($25.75) leaving you with a total of 2.25.
If -3/4 is the dividend and 2/5 is the divisor what is the quotient
Answers
[tex]-\cfrac{3}{4}\div \cfrac{2}{5}\implies -\cfrac{3}{4}\cdot \cfrac{5}{2}\implies -\cfrac{15}{8}\implies {\Large \begin{array}{llll} -1\frac{7}{8} \end{array}}[/tex]
On a given planet the weight of an object varies directly with the mass of the object. Suppose that an object whose mass is 80 KG weighs 80 n calculate the mass of another object that weighs 70 n
Answers
We are told that the weight of an object varies directly with the mass of the object. This basically means that if w is the weight and M is the mass then these two magnitudes are related by the following expression:
[tex]w=k\cdot M[/tex]Where k is a constant.
We know that an object with a mass of 80kg weights 80 newtons. Then for this object we have w=80kg and M=80n so we get:
[tex]80n=k\cdot80kg[/tex]We divide both sides of this equation by 80:
[tex]\begin{gathered} \frac{80n}{80}=\frac{k\cdot80kg}{80} \\ 1n=k\cdot1kg \end{gathered}[/tex]Here it's important to remember that 1 newton (i.e. 1n) is equal to:
[tex]n=\frac{kg\cdot m}{s^2}[/tex]Then we get:
[tex]1\frac{kg\cdot m}{s^2}=k\cdot1kg[/tex]We divide both sides by 1 kg:
[tex]\begin{gathered} \frac{1\frac{kg\cdot m}{s^2}}{1kg}=\frac{k\cdot1kg}{1kg} \\ 1\frac{kg\cdot m}{kg\cdot s^2}=k\cdot\frac{1kg}{1kg} \\ k=1\frac{m}{s^2} \end{gathered}[/tex]So now that we found k we have the following expression for the weight of an object as a function of its mass:
[tex]w=M\cdot1\frac{m}{s^2}[/tex]For an object that weights 70n we get:
[tex]\begin{gathered} 70n=M\cdot1\frac{m}{s^2} \\ 70\frac{kg\cdot m}{s^2}=M\cdot\frac{m}{s^2} \end{gathered}[/tex]We divide both sides by 1 m/s²:
[tex]\begin{gathered} \frac{70\frac{kg\cdot m}{s^2}}{1\frac{m}{s^2}}=\frac{M\cdot\frac{m}{s^2}}{1\frac{m}{s^2}} \\ 70\frac{kg\cdot m\cdot s^2}{m\cdot s^2}=M\cdot\frac{m\cdot s^2}{s^2\cdot m} \\ 70kg=M \end{gathered}[/tex]AnswerSo the mass of an object that weights 70n is 70kg.
Mika opened a bank account that earns simple interest with an initial deposit of $2,200.She made no other transactions throughout the year. At the end of the year, Mika had $2,260.50 in her account. What was the simple interest rate?
Answers
Answer:
2.75%
Step-by-step explanation:
2260.5-2200=60.5 the extra
60.5/2200=0.0275*100=2.75%
When a number is decreased by 20% of itself, the result is 336. What is the number?
Answers
The number which is decreased by 20% and result is 336 then number is 420
According to the question, given that
when a number is decreased by 20 % of itself, it became 336
then, the number is :
x - (x ×[tex]\frac{20}{100}[/tex] )= 336
x - [tex]\frac{x}{5}[/tex] = 336
[tex]\frac{5x - x}{5}[/tex] = 336
[tex]\frac{4x}{5}[/tex] = 336
x = [tex]\frac{336 *5}{4}[/tex]
x = 84 * 5
x = 420
Therefore, we get the number is 420
PERCENT INCREASE =(new amount−original amount)/original amount
Some people append 100% at the end of this calculation to stress that it should be stated as a percent since it represents an increase in percentage.
So, as an alternative, here is the formula:
PERCENT INCREASE = (new amount−original amount)/original amount*100%
PERCENT DECREASE=(original amount−new amount)original amount
OR
PERCENT DECREASE=(original amount−new amount)original amount*100%
Both formulas have the following pattern:
PERCENT INCREASE/DECREASE=change in amount /original amount
OR
PERCENT INCREASE/DECREASE=change in amount/ original amount*100%
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This is my question…
Answers
Solution
otal number of cCustomer = 11 + 9 + 11 + 5 + 5 + 1 + 3 = 45
Let A denotes the event that the Customer waited for at least 12 minutes
Let B denotes the event that the Customer waited between 8 and 15 minutes
[tex]\begin{gathered} n(A)=5+5+1+3=14 \\ n(B)=11+5=16 \\ n(A\cap B)=5 \end{gathered}[/tex]We want to find
[tex]p(A\cup B)[/tex][tex]\begin{gathered} p(A\cup B)=p(A)+p(B)-p(A\cap B) \\ p(A\cup B)=\frac{14}{45}+\frac{16}{45}-\frac{5}{45} \\ p(A\cup B)=\frac{25}{45} \\ p(A\cup B)=\frac{5}{9} \\ p(A\cup B)=0.556\text{ (to the nearest thousandth)} \end{gathered}[/tex]hus, the probability is 0.556
Option D
What is the measure of x?
HELP NEEDED ASAP
Answers
The value of x in the given right triangle is 8√5.
What is Pythagoras theorem?Pythagoras theorem states the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse.
The length of side z of the triangle is calculated as follows;
z² = y² + 4²
The length of side x is calculated as follows;
x² + z² = (16 + 4)²
x² + z² = 20²
substitute the value of z² into the equation,
x² + y² + 4² = 20²
x² + y² = 20² - 4²
x² + y² = 384
Considering the second triangle, with sides, 16, x and y, the value of side y is calculated as follows;
y² = x² - 16²
y² = x² - 256
x² + y² = 384
x² + x² - 256 = 384
2x² = 384 + 256
2x² = 640
x² = 640/2
x² = 320
x = √320
x = √(64 x 5)
x = √64 . √5
x = 8√5
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Hello, I’m struggling with my geometry homework
Answers
Answer
Explanation
Given:
m
To determine the mAs we can see, CD form a straight line, so the angle of it must be 180°. Now, we can get the m[tex]\begin{gathered} m\angle APE+m\angle APD=180 \\ 67+m\angle APD=180 \\ Simplify\text{ and rearrange} \\ m\angle APD=180-67 \\ m\angle APD=113\degree \end{gathered}[/tex]Since the line ED is at the center of the circle:
[tex]m\angle APD=m\hat{AD}[/tex]Therefore,
[tex]m\hat{AD}=113\degree[/tex]6. Find the sale prices. a. $4,200 with a 35% markdown b. $5,000 with a 44% markdown
Answers
Answer: The Correct Sales Prices:
a. $2,730
b. $2,800
Step-by-step explanation:
a. $4,200 x 35%
$4,200 x .35 = $1,470
$4,200 - $1,470 = $2,730
b. $5,000 x 44%
$5,000 x .44 = $2,200
$5,000 - $2,200 = $2,800
The amount of air in a Suba diving tank with a capacity of 2400 liters is decreasing at a rate of 48
Answers
For given details the function is f(t) = 2400 - 48t
a) the amount of air in the tank is a function of the number of minutes it contain the air.
b) Domain of the function: [0, 50] and the domain is continuous one.
c) Graph of the function is attached below.
Function:
The function also know as expression, rule, or law that defines a relationship between one variable and another variable.
Given,
The amount of air in a scuba diving tank with a capacity of 2400 liters is decreasing at a constant rate of 48 liters per minute.
Here we need to find the following:
a) Whether the amount of air in the tank a function of the number of minutes?
b) Domain of the function
c) Graph of the function
Through the given question we know that,
The total amount of air in the tank = 2400 liters
Discharge unit per minute = 48 liters
Let us consider f(t) be the amount of air in a scuba diving tank.
where t represents the time in minutes.
Through the given information we get a function,
f(t) = 2400 - 48t
While using the given function, we can observe that the amount of air in the tank a function of the number of minutes.
Now, we need to find the domain of the function f(t)
Let us consider f(t) = 0
2400 - 48t = 0
2400 = 48t
t = 2400 / 48
t = 50
Therefore, t takes values in from the interval [0, 50]
We know that time is continuous to the function.
so, the domain is also continuous.
Now we have to plot the graph of the function..
Therefore, for given situation the function is f(t) = 2400 - 48t is attached below.
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a container holds 2300 ounces fruit punch. A factory places the fruit punch into 32-ounce bottles. How man full Bottles of fruit punch can the factory produce?
Answers
71
EXPLANATION!
All you need to do is take the 2300 ounces of punch and divide it among 32 ounce bottles.
2300/32= 71.875
It asks for full bottles so you round down to the nearest whole number getting you 71!!
Help me solve this please
Answers
Answer: a. 291/2020 b. 77/465 c. 874/2020 d.145/376 e. 41/157 f. 41/157 g. 53/157 h. 433/465 I. 335/376
Step-by-step explanation:
A. 291- column of loyal customers for 10-14 years over total amount. Question about the overall group 2020.
B. 77- people in the east that have been loyal 10-14 years in the east over the east group that's given that they're apart of 465.
C. 874 - customers loyal for more than 10 years in the west over the total amount. Question about the overall group 2020.
D.145 (45+100) - customers loyal for over 10 years in the west over the west group 376.
E. 41 people that have been loyal less than 1 year in the west over the group that has been loyal for less than 1 year 157.
F. 53 people that have been loyal less than 1 year in the south over the group that has been loyal for less than 1 year 157.
G.433 (465-32) people that have been loyal more than a year in the east over the east group 465.
I.335 (376-41) people that have been loyal in the west over the west group 376.
explain why this is an error. What should she have done?
Answers
Answer:
3y = 80v - x
Step-by-step explanation:
she need to change the operation. x should be –
14. In baseball, a player's batting average is calculated by using the formula. A=h/b,
where A is the batting average, h is the number of hits, and b is the number of at
bats.
a. Solve the equation for h. What is the equation to solve h
Answers
Answer: h = b/A
Explanation: If i hit 5 out of 10 balls thrown, my batting average is 2.
.5 = 5/10.
If my batting average is .5, and 10 balls were thrown, I only hit half or 5 of them. 5 = 10/.5
A zucchini plant in Darnell's garden was 10 centimeters tall when it was first planted. Since then, it has grown approximately 0.5 centimeters per day. a. Write a rule to describe the function. b. After how many days will the zucchini plant be 0.185 meters tall?
Answers
a) g(x) = 10 + 0.5x
b) 17 days
Explanations:Let the number of days be represented by x
Let the intial height of the zucchini plant be g₀
g₀ = 10 cm
Size of growth per day = 0.5 cm
Let the growth after x days be represented by g(x)
a) The rule that represents the function is therefore:
g(x) = g₀ + 0.5x
g(x) = 10 + 0.5x
b) After how many days will the Zucchini pant be 0.185 meters tall
That is g(x) = 0.185 meters
since 1 meter = 100 cm
g(x) = 0.185 x 100 cm
g(x) = 18.5 cm
Thereofre substitute g(x) = 18.5 into the equation g(x) = 10 + 0.5x
18.5 = 10 + 0.5x
18.5 - 10 = 0.5x
0.5x = 8.5
x = 8.5 / 0.5
x = 17
The zucchini plant will be 0.185 meters tall after 17 days
consider the circle centered at the origin and passing through the point (-2,0). (a) Give the equation of the circle.
Answers
As the circle is centered in the origin , we only need to know the radius of the circle. The radius is the distance from (0,0) to (-2,0) and it is 2. So the equation is
[tex]x^2+y^2=2^2[/tex]1. Joel purchased a picture frame. Each side measures 1 1/4 feet. a. What is the area of the frame?
Answers
Area = l x w
[tex]=1\frac{1}{4}\times1\frac{1}{4}[/tex]
convert to improper fraction and evaluate
[tex]=\frac{5}{4}\times\frac{5}{4}[/tex][tex]=\frac{25}{16}[/tex][tex]=1\frac{9}{16}ft^2[/tex]From the window of a building, a ball is tossed from a height y0 above the ground with an initial velocity of 7.90 m/s and angle of 24.0° below the horizontal. It strikes the ground 5.00 s later. (a) If the base of the building is taken to be the origin of the coordinates, with upward the positive y-direction, what are the initial coordinates of the ball? (Use the following as necessary: y0. Assume SI units. Do not substitute numerical values; use variables only.) xi = yi = (b) With the positive x-direction chosen to be out the window, find the x- and y-components of the initial velocity. vi, x = m/s vi, y = m/s (c) Find the equations for the x- and y-components of the position as functions of time. (Use the following as necessary: y0 and t. Assume SI units.) x = m y = m (d) How far horizontally from the base of the building does the ball strike the ground? m (e) Find the height from which the ball was thrown. m (f) How long does it take the ball to reach a point 10.0 m below the level of launching? s
Answers
The description of the motion of the ball, which is a projectile are as follows;
(a) The window coordinates are; (0, 138.49)
(b) The x–component is 7.22 m)s
The y–component is -3.22 m/s
(c) The equations for displacement are;
x = 7.22•ty = 3.21•t + 4.91•t²(d) 16.07 m from the base
(e) Height of the ball location before it was thrown is 138.49 meters
(f) Time to reach 10.0 m. is 1.14 s
What is a projectile motion?Projectile motion is the motion of an object that is thrown or thrusted into the air such that the major force acting on an object is the force of gravity
(a) The parameters of the motion of the ball are;
Initial velocity of the ball = 7.8 m/s
Direction to which the ball is tossed = 24° below the horizontal
Time it takes the ball to strike the ground = 5.00 s
Location of the origin of the coordinates = The base of the building
[tex]h = v_{iy} \cdot t + 0.5 \cdot g \cdot t²[/tex]
Where;
h = The height of the window
[tex]u_{y}[/tex]
The initial vertical velocity = 7.8×sin(24°) ≈ 3.173 m/s
g = The acceleration due to gravity ≈ 9.81 m/s²
t = The time duration of the motion = 5.00 s
Therefore;
h = 3.173×5 + 0.5×9.81×5²≈ 138.49
The height of the window, h ≈ 138.49 meters
Given that the window shares the same x–coordinates with the base, which is 0, we have;
The coordinates of the window = (0, 138.49)(b) The x and y–component of the initial velocity are therefore;
v = 7.9 m/s × (cos(24°)•i - sin(24°)•j)
v = 7.22•i - 3.21•j
The x and y component of the velocity are therefore
x–component [tex] v_{ix} [/tex] = 7.22•i
y–component, [tex] v_{y} [/tex] = -3.21•j
Therefore;
The x–component is 7.22 m/s to the rightThe y–component is 3.21 m/s towards the ground(c) The equation of the x–component of the position is found as follows;
x = 7.9×cos(24°) × t = 7.22 •t
x = 7.22•ty = 7.9×sin(24°) × t+ 0.5× 9.81×t²
y = 3.21•t + 4.91•t²(d) The distance from the base of the building where the ball lands is given by the equation
d ≈ 3.21 × 5 ≈ 16.07
The ball lands 16.07 meters from the base of the building(e) The height from which the ball was thrown, h, is given by the y–coordinate in option (a) therefore;
h = 138.49 meters(f) When the distance traveled = 10 meters, we have;
[tex]h = v_{iy} \cdot t + 0.5 \cdot g \cdot t²[/tex]
Which gives;
10 = 3.21•t + 0.5×9.81×t²
Solving with a graphing calculator, gives;
t ≈ -1.79 or t = 1.14
The possible value for the time it takes to reach the point 10 meters is therefore;
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In 2012, the U.S. population was about
314 million. How many people over the
age of 64 were in the U.S.?
Answers
There are 38,936,000 people over the age of 64 were in the U.S.
Option 2 is true.
What is Percentage?
A relative value indicating hundredth part of any quantity is called percentage.
Given that;
In 2012, the U.S. population was about 314 million.
Now,
Total population = 314,000,000
In the pie chart, The percent of people over the age of 64 were in the U.S will be 12.4%
Hence, Solve as;
Number of people over the age of 64 = 314,000,000 × 12.4%
= 314,000,000 × 12.4 / 100
= 31,400,00 × 12.4
= 38,936,000
Thus,
There are 38,936,000 people over the age of 64 were in the U.S.
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If a ball is thrown upward at 64 feet per second from a height
of 4 feet, the height of the ball can be modeled by
S = 4 +64t - 16t² feet, where t is the number of seconds
after the ball is thrown. How long after the ball is thrown is the
height 32 feet?
Answers
[tex]S=4+64t-16t^2\implies \stackrel{\textit{at a height of 32}}{32=4+64t-16t^2}\implies 16t^2-64t-4+32=0 \\\\\\ 16t^2-64t+28=0\implies 4(4t^2-16t+7)=0\implies 4t^2-16t+7=0 \\\\\\ ~~~~~~~~~~~~\textit{quadratic formula} \\\\ \stackrel{\stackrel{a}{\downarrow }}{4}t^2\stackrel{\stackrel{b}{\downarrow }}{-16}t\stackrel{\stackrel{c}{\downarrow }}{+7}=0 \qquad \qquad t= \cfrac{ - b \pm \sqrt { b^2 -4 a c}}{2 a}[/tex]
[tex]t= \cfrac{ - (-16) \pm \sqrt { (-16)^2 -4(4)(7)}}{2(4)} \implies t = \cfrac{ 16 \pm \sqrt { 256 -112}}{ 8 } \\\\\\ t= \cfrac{ 16 \pm \sqrt { 144 }}{ 8 }\implies t=\cfrac{16\pm 12}{8}\implies t= \begin{cases} \frac{1}{2}&\textit{on the way up}\\\\ \frac{7}{2}&\textit{on the way down} \end{cases}[/tex]
Find the function f whose zeros are 6 and 3
Answers
To find the zeroes of a function f, use the fact that they make f(x) = 0. So, in this case, f(x) = (x-a)(x-b), for a and are the zeroes of the function. So:
f(x) = (x - 3)(x - 6) = x^2 - 9x + 18
Identify the transformations for the function below. Check all that applyf(x) = -x2 - 4DilationHorizontal ShiftVertical ShiftReflection
Answers
Parent function:
[tex]f(x)=x^2[/tex]Transformations:
[tex]f(x)=a(x-h)^2+k[/tex]a indicates a reflection acrross x-axis (if it is a<0) and/or a stretch or shrink
h indicates a horizontal translation
k indicates a vertical translation
As you have:
[tex]undefined[/tex]