Answers
Answer:
See attachment for plot
Step-by-step explanation:
The attachment has enough information to solve for only question (4).
Solving (4), we have:
[tex]W = (-1,-1)[/tex]
[tex]X = (4,1)[/tex]
[tex]Y = (4,5)[/tex]
[tex]Z =(1,7)[/tex]
Required
Reflect over the x-axis
When a point (x,y) is reflected over the x-axis, the resulting point is (x,-y)
i.e.
[tex](x,y) => (x,-y)[/tex]
So, we have:
[tex]W = (-1,-1)[/tex] ==> [tex]W' =(-1,1)[/tex]
[tex]X = (4,1)[/tex] ==>[tex]X' = (4,-1)[/tex]
[tex]Y = (4,5)[/tex] ==> [tex]Y' =(4,-5)[/tex]
[tex]Z =(1,7)[/tex] ==> [tex]Z' = (1,-7)[/tex]
So, we plot on a grid, the following points:
[tex]W' =(-1,1)[/tex]
[tex]X' = (4,-1)[/tex]
[tex]Y' =(4,-5)[/tex]
[tex]Z' = (1,-7)[/tex]
See attachment for plot
Related Questions
A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the given equation. Using this equation, find out what price the widgets should be sold for, to the nearest cent, for the company to make the maximum profit.
y=-15x^2+801x-5900
Answers
Answer:
In order to maximize profit, each widget should sell for $26.70.
Step-by-step explanation:
The total amount of profit y given by the selling price of each widget x is given by:
[tex]y=-15x^2+801x-5900[/tex]
And we want to determine the price of each widget such that is yields the maximum profit.
Since the equation is a quadratic, the maximum profit will occur at the vertex of our parabola.
The vertex of a quadratic is given by:
[tex]\displaystyle \left(-\frac{b}{2a},f\left(-\frac{b}{2a}\right)\right)[/tex]
So, let's find the vertex. In our equation, a = -15, b = 801, and c = -5900.
Therefore, the price that maximizes profit is:
[tex]\displaystyle x=-\frac{801}{2(-15)}=\$26.70[/tex]
Therefore, in order to maximize profit, each widget should sell for $26.70.
Notes:
Then substituting this back into the equation, the maximum profit is:
[tex]y_{\text{max}}=-15(26.7)^2+801(26.7)-5900=\$ 4793.35[/tex]
How do I do this and what is the answer please help??
Answers
Answer:
log3x
Step-by-step explanation:
i think it would be y=log3x
What is the constant rate of change shown in the table?
2
4
6
8
Answers
(The y intercept is 20 so subtract 20 from the y and divide by 2 to get your x)
Answer:
2
Step-by-step explanation:
Since with every 10 seconds, the distance increase by 20 meters
hence, 20/10 = 2
A rectangular gate has a diagonal bar running across it.The gate is 80cm high and 2m wide.Work out the length of the bar.Give your answer in surd form..
Answers
Answer:
Step-by-step explanation:
A rectangular gate has a diagonal bar running across it.The gate is 80cm high and 2m wide.Work out the length of the bar.Give your answer in surd form..
What is the area of the hexagon below? 6CM
Answers
I think they will be able with the one that
Which angles are vertical angles and, therefore, congruent?
ILL MARK BRAINIEST
Answers
Answer: <A and <F
Step-by-step explanation: Verticle angles are angles that are on opposite sides of each other therefore having the same angle.
The figure shows a 1300-yard-long sand beach and an oil platform in the ocean. The angle made with the platform from one end of the beach is 84 degrees and from the other end is 76 degrees . Find the distance of the oil platform, to the nearest tenth of a yard, from each end of the beach.
Answers
Answer:
y = 3,254.3 yd
Step-by-step explanation:
Lets denote with 'x' and 'y' the distances we need to find.
Using the Law of Sines we can write:
x/(sin 76) = 1175/(sin(180 - (83 + 76))
x/(sin 76) = 1175/(sin 21)
x = 3,181.4 yd
y/(sin 83) = 1175/(sin(180 - (83 + 76))
y/(sin 83) = 1175/(sin 21)
y = 3,254.3 yd
The platform is 3,181.4 yards far from one end of the beach and 3,254.3 yd far from the other.
The distance of the oil platform is 3708.82 yards, from each end of the beach.
Given that,
The figure shows a 1300-yard-long sand beach and an oil platform in the ocean.
The angle made with the platform from one end of the beach is 84 degrees and from the other end is 76 degrees.
We have to determine,
The distance of the oil platform, to the nearest tenth of a yard, from each end of the beach.
According to the question,
Let x be the distance of the sand beach,
And y be the distance of oil platform.
The distance of the oil platform of a yard, from each end of the beach, is determined by using the sin rule,
[tex]\rm \dfrac{x}{sina} = \dfrac{y}{sinb}\\\\ \dfrac{x}{sin76} = \dfrac{1300}{sin(180-(84+76))}\\\\ \dfrac{x}{0.97} = \dfrac{1300}{sin(180-160)}\\\\\dfrac{x}{0.97} = \dfrac{1300}{sin20}\\\\\dfrac{x}{0.97} = \dfrac{1300}{0.34}\\\\ \dfrac{x}{0.97}= 3823.52 \\\\ x = 3823.52 \times 0.97\\\\x = 3708.82[/tex]
Hence, The distance of the oil platform is 3708.82 yards, from each end of the beach.
For more details refer to the link given below.
https://brainly.com/question/18188038
What is one way to name the object pictured below?
A Z Y
B. YZ
c. Y Z
D. ZY
Answers
MARK ME BRAINLIEST PLEASE
someone please help me answer this!!
Answers
Answer:
c = 8.4m is the answer.
Step-by-step explanation:
a = 6m
b = 6m
c = ?
According to the Pythagorean theorem,
a² + b² = c²
6² + 6² = c²
36 + 36 = c²
c² = 72
c = 8.4m
∴ The mouse runs 8.4 m from the opposite corners of the room.
Answer:
8.5 m
Step-by-step explanation:
If you draw the segment from one corner to the opposite corner, you'll have the hypotenuse of a triangle with two legs of 6 m. We can find the length of the hypotenuse using the Pythagorean Theorem.
a^2 + b^2 = c^2
6^2 + 6^2 = c^2
36 + 36 = c^2
c^2 = 72
c = sqrt(72)
c = 6sqrt(2) = 8.5
Answer: 8.5 m
What is the absolute value of point J on the number line?
_------_-----_-----_-----_-----_-----_-----_-----_-----_-----_-----_----J
-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
A -6
B 0
C 3
D 6
Answers
Answer:
D (6)
Step-by-step explanation:
you must place a number on a number line starting from the smallest (negative number ) to the bigger number (positive number ).
the number that is represented by J is 6
Vhat is the domain of the function y = In {-x+3/2}
Answers
Answer:
(-∞,3/2),{xIx<3/2}
Step-by-step explanation:
Using inverse function concepts, the correct option is:
B. Domain: x < -2 Range: y> 3
What is domain?The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in
here, we have,
we know that,
The domain of a function is the set that contains all possible input values.
The range of a function is the set that contains all possible output values.
In the inverse function, input and output are exchanged, thus, domain and range are also exchanged.
For the original function, the domain is x > 3 and the range is y < -2.
Thus, for the inverse function, the domain is x < -2 and the range is y > 3, which means that option B is correct.
learn more on domain at :
brainly.com/question/24603090
#SPJ7
Complete question:
The domain of a function h(x) is x > 3, and the range is y2 -2. What are the domain and range of its inverse function, h-1(x)?
A. Domain: x>3 Range: y2 -2
B. Domain: x2 -2 Range: y> 3
C. Domain: x>-2 Range: y> 3
D. Domain: x2 3 Range: y> -2
Question 4
12.5 pts
Georgia receives a snow globe for her birthday. The globe has a diameter of 4 inches.
Which of the following is the closest to the volume of the snowglobe?
0 18.84
O 10.7
O 16.7
0 33.5
Answers
Answer:
choice 4) 33.5 in³
Step-by-step explanation:
r = 4/2
V = 4/3πr³ = 4/3(3.14)(2³) = 33.5 in²
X+4y<4 linear inequalities
Answers
Answer:
See Explanation
Step-by-step explanation:
Given
[tex]x + 4y < 4[/tex]
The question is incomplete, as what is to be done is not stated.
However, possible sub-questions could be to determine the slope and the y-intercept for the boundary line.
To calculate slope, we have:
[tex]x + 4y < 4[/tex]
Solve for 4y
[tex]4y < - x + 4[/tex]
Solve for y
[tex]y < -\frac{x}{4} + \frac{4}{4}[/tex]
[tex]y < -\frac{1}{4}x + 1[/tex]
A linear inequality is represented as:
[tex]y <mx + b[/tex]
Where [tex]m =slope[/tex] and [tex]b = y\ intercept[/tex]
So:
By comparison:
[tex]mx = -\frac{1}{4}x[/tex]
[tex]m = -\frac{1}{4}[/tex]
and
[tex]b = 1[/tex]
So:
[tex]Slope = -\frac{1}{4}[/tex]
[tex]y\ intercept = 1[/tex]
Also, see attachment for graph
https://brainly.com/question/23008046
PLS ANSWER THIS QUESTION PLEASE
Answers
Answer:
[tex]\frac{3}{2}y - 3 + \frac{5}{3}z =11[/tex]
Step-by-step explanation:
Given
[tex]y=6; z=3[/tex]
Evaluate
[tex]\frac{3}{2}y - 3 + \frac{5}{3}z[/tex]
Substitute [tex]y=6; z=3[/tex] in the expression.
So, we have:
[tex]\frac{3}{2}y - 3 + \frac{5}{3}z = \frac{3}{2}*6 - 3 + \frac{5}{3} * 3[/tex]
[tex]\frac{3}{2}y - 3 + \frac{5}{3}z = \frac{3*6}{2} - 3 + \frac{5* 3}{3}[/tex]
Evaluate the fractions
[tex]\frac{3}{2}y - 3 + \frac{5}{3}z = 3*3 - 3 + 5[/tex]
[tex]\frac{3}{2}y - 3 + \frac{5}{3}z =11[/tex]
What is the quotient of (x^3 + 8) divided by (x + 2)?
Answers
Answer:
(x^3 +8)/(x+2) = x^2 -2x +4
Step-by-step explanation:
PLEASE HELP ASAP THIS IS A MAJOR TEST FOR ME! Below is the number of innings pitched by each of the Greenbury Goblins' six starting pitchers during the Chin Tournament. Find the median number of innings pitched.
Answers
Answer:
The answer is 4 simplified or 8/2 not simplified
The area of a rectangle room is given by the equation x^2+x=12, where w is thewidth if the room. What is the width of the room?
Answers
Answer:
w = 3
Step-by-step explanation:
factoring x² + x - 12 you get (x + 4)(x - 3) = 0
x = -4 and x = 3
since you cannot have a negative width, we exclude that value and use the positive value of 3
Solve for x. Round your answer to the nearest tenth.
Answers
Answer:
i think 120
Step-by-step explanation:
Step-by-step explanation:
by using Pythagoras theorem,
AB^2+BC^2=CA^2
9^2+12^2=x^2
81+144=285
answer=(285)^2=16.88
nearest tenth is 20
1. In the diagram below, the length of the legs AC and BC of right triangle ABC are 6 cm and 8 cm,
respectively. Altitude CD is drawn to the hypotenuse of AABC. What is the length of AD to the nearest tenth
of a centimeter?
Answers
Answer:
Note that ABC is a 6 - 8 -10 right triangle with AB = 10
Also note that triangle ADC is similar to triangle ACB
Therefore
AD/ AC = AC / AB so
AD / 6 = 6/ 10 cross-multiply
10*AD = 6 * 6
810*AD = 36
AD = 36 / 10 = 3.6 = x
I hope this helps a little bit.
Kyle’s doctor told him that the z-score for his systolic blood pressure is 1.75. Which of the following is the best interpretation of this standardized score? The systolic blood pressure (given in millimeters) of males has an approximately normal distribution with mean µ = 125 and standard deviation σ = 14. If X = a systolic blood pressure score then X ~ N (125, 14).
a. Which answer(s) is/are correct?
1. Kyle's systolic blood pressure is 175.
2. Kyle's systolic blood pressure is 1.75 times the average blood pressure of men his age.
3. Kyle's systolic blood pressure is 1.75 above the average systolic blood pressure of men his age.
4. Kyles's systolic blood pressure is 1.75 standard deviations above the average systolic blood pressure for men.
b. Calculate Kyle's blood pressure.
Answers
Answer:
a. 4. Kyles's systolic blood pressure is 1.75 standard deviations above the average systolic blood pressure for men.
b. His blood pressure is of 149.5 millimeters
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
a. Which answer(s) is/are correct?
His blood pressure has a zscore of 1.75, which means that it is 1.75 standard deviation above the mean value. So the correct answer is given by option 4.
b. Calculate Kyle's blood pressure.
We have to find X when [tex]Z = 1.75, \mu = 125, \sigma = 14[/tex]. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.75 = \frac{X - 125}{14}[/tex]
[tex]X - 125 = 1.75*14[/tex]
[tex]X = 149.5[/tex]
His blood pressure is of 149.5 millimeters
Can a triangle be made using the side lengths of 8, 2, 10?
a
Yes.
b
No, the sum of the shortest sides measures less than the longest side.
c
No, the sum of the shortest sides measure is equal to the longest side.
Answers
Answer:
c
Step-by-step explanation:
I'm not completely sure if this is right, but i hope it is :/
Please help!
Find the surface area of a rectangular solid that is 2m by 340cm by 560cm
(100cm = 1m)
Answers
How many faces does the solid made from the net below have?
Answers
There are 5 triangles and 1 pentagon for a total of 6
The answer is 6
give three rational Number lying between 1/3 and 1/5
Answers
(07.01, 07.02 LC) Factor the greatest common factor: −5k2 + 20k − 30.
−1(5k2 − 20k + 30)
−5(k2 − 4k + 6)
−5k(k2 − 4k + 6)
−5(k2 + 4k − 6)
Answers
Answer:
-5(k2-4k+6)
Step-by-step explanation:
I think is -5(k2-4k+6)
I think that it's 5(k2 − 4k + 6)
The product is 2 2/3 + 4 4/5
Answers
Answer:
[tex]7\frac{7}{15}[/tex]
Step-by-step explanation:
Mark as Brainllest plz
pls help! one week you spent $24 on 6 metro tickets and 4 bus tickets. the next week you spent $27 on 3 metro tickets and 7 bus tickets. how much would it cost to buy 5 metro tickets and 2 bus tickets?
Answers
Answer:
I will use x for # of subway tickets, and y for # of express bus tickets.
24 = 6x + 4y
27 = 3x + 7y
x = 2
y = 3
16 = 10 + 6
Answer is 16
Samuel buys a two-quart bottle of juice for $12.16. What is the unit rate of the cost of the juice per fluid ounce? \text{1 gallon}= 1 gallon= \,\,\text{4 quarts} 4 quarts \text{1 quart}= 1 quart= \,\,\text{2 pints} 2 pints \text{1 pint}= 1 pint= \,\,\text{2 cups} 2 cups \text{1 cup}= 1 cup= \,\,\text{8 fluid ounces} 8 fluid ounces Before you try that problem, answer the question below. How many fluid ounces of juice did Samuel buy?
Answers
Explanation what is that
Elaine cannot spend more than $90 each
month for her cell phone and text
messaging service. Her plan states that she
has to pay a set fee of $45 for phone
service and $0.05 per text message she
sends. Which inequality represents the
relationship between the number of text
messages she can send each month, t, and
the total amount she can spend for the cell
phone and text messaging service?
Answers
Answer:
b = 90 >- 45 + 0.05t
Step-by-step explanation:
She can't spend more than 90 and this the only equation that makes sense.
A random sample of 10 fields of durum wheat has a mean yield of 39.8 bushels per acre and standard deviation of 3.87 bushels per acre. Determine the 90% confidence interval for the true mean yield. Assume the population is approximately normal. Step 1 of 2 : Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.
Answers
Answer:
Ccritical value = 1.833