y= (x+5)^2+1. plot five points on the parabola
Answers
To plot 5 points, let's choose 5 x values and evaluate the function for every single one of them, as following:
\(\begin{gathered} x=-5\rightarrow y=(-5+5)^2+1\rightarrow y=1\rightarrow(-5,1) \\ \\ x=-4\rightarrow y=(-4+5)^2+1\rightarrow y=2\rightarrow(-4,2) \\ \\ x=-3\rightarrow y=(-3+5)^2+1\rightarrow y=5\rightarrow(-3,5) \\ \\ x=-2\rightarrow y=(-2+5)^2+1\rightarrow y=10\rightarrow(-2,10) \\ \\ x=-1\rightarrow y=(-1+5)^2+1\rightarrow y=17\rightarrow(-1,17) \end{gathered}\)The plot would be the following:
Related Questions
please help
The price for 5lbs is candy is $7.15. How much per pound is the cost of the candy?
Answers
Answer:
$1.43
Step-by-step explanation:
7.15 / 5 is 1.43, so each pound is $1.43
Answer:
1.43$
Step-by-step explanation:
Take the 5lbs and divide it by $7.15 that will get you the unit of 1.43$
Rural Speed Limits Rural speed limits for all 50 states are indicated below. 60 mph 65 mph 70 mph 75 mph 1 (HI) 18 18 13 Choose one state at random. Find the probability that its speed limit is a. 60 or 70 miles per hour b. Greater than 65 miles per hour c. 70 miles per hour or less
Answers
Answer:
\(P(60mph\ or\ 70mph) = 0.38\)
\(P(x>65mph) = 0.62\)
\(P(x \le 70mph) = 0.74\)
Step-by-step explanation:
Given
Speed Limits --- States
60 mph ---------- 1
65 mph ----------- 18
70 mph ----------- 18
75 mph ---------- 13
Total -------------- 50
Solving (a): Probability of 60mph or 70mph
This is represented as:
\(P(60mph\ or\ 70mph)\)
We only consider states with speed limits of 60 and 70mph.
So, we have:
\(P(60mph\ or\ 70mph) = P(60mph) + P(70mph)\)
\(P(60mph\ or\ 70mph) = \frac{1}{50} + \frac{18}{50}\)
Take L.C.M
\(P(60mph\ or\ 70mph) = \frac{1+18}{50}\)
\(P(60mph\ or\ 70mph) = \frac{19}{50}\)
\(P(60mph\ or\ 70mph) = 0.38\)
Solving (b): Greater than 65mph
This is represented as:
\(P(x>65mph)\)
We only consider states with speed limits of 70 and 75mph.
So, we have:
\(P(x>65mph) = P(70mph) + P(75mph)\)
This gives:
\(P(x>65mph) = \frac{18}{50} + \frac{13}{50}\)
Take L.C.M
\(P(x>65mph) = \frac{18+13}{50}\)
\(P(x>65mph) = \frac{31}{50}\)
\(P(x>65mph) = 0.62\)
Solving (c): 70mph or less
This is represented as:
\(P(x \le 70mph)\)
We only consider states with speed limits of 60, 65 and 70mph.
So, we have:
\(P(x \le 70mph) = P(60mph) + P(65mph) + P(70mph)\)
This gives:
\(P(x \le 70mph) = \frac{1}{50} + \frac{18}{50} + \frac{18}{50}\)
Take L.C.M
\(P(x \le 70mph) = \frac{1+18+18}{50}\)
\(P(x \le 70mph) = \frac{37}{50}\)
\(P(x \le 70mph) = 0.74\)
how much money deposited now will provide payment of Rs. 15000 at the end of each half year for 10 years, if interest is 16% compounded six-monthly
Answers
The interest is 16% compounded semi-annually, is Rs. 121,179.10.
To determine how much money needs to be deposited now to provide a payment of Rs. 15,000 at the end of each half year for 10 years, we will use the formula for the present value of an annuity.
Present value of an annuity = (Payment amount x (1 - (1 + r)^-n))/rWhere:r = interest rate per compounding periodn = number of compounding periodsPayment amount = Rs. 15,000n = 10 x 2 = 20 (since there are 2 half years in a year and the payments are made for 10 years)
So, we have:r = 16%/2 = 8% (since the interest is compounded semi-annually)Payment amount = Rs. 15,000Using the above formula, we can calculate the present value of the annuity as follows:
Present value of annuity = (15000 x (1 - (1 + 0.08)^-20))/0.08 = Rs. 121,179.10Therefore, the amount that needs to be deposited now to provide payment of Rs. 15,000 at the end of each half year for 10 years, if the interest is 16% compounded semi-annually, is Rs. 121,179.10.
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How many solutions does this system have? no solutions one unique solution O O two solutions O or an infinite number of solutions
Answers
Answer:
no solutions
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
equation of blue line is y = x + 2 , in slope- intercept form
with slope m = 1
equation of red line is y = x - 3 , in slope- intercept form
with slope m = 1
• Parallel lines have equal slopes
then the blue and red lines are parallel.
the solution to the system is at the point of intersection of the 2 lines
since the lines are parallel then they do not intersect each other.
thus the system shown has no solution.
Solve for the missing side lengths.45°5A. O57057666, yB.O57224,357245,122 -2, y522D. x = 5/2, y = 5/2
Answers
The missing sides, x, and y can be obtained using the sine rule
Step 1: Get the angle at A
The angle at A is obtained below:
\(180-90-45=45^0\)Step 2: Use the sine rule
\(\frac{\sin A}{y}=\frac{\sin B}{x}=\frac{\sin C}{5}\)\(\begin{gathered} \text{where A=45}^0 \\ B\text{=45}^0 \\ C=90^0 \end{gathered}\)To get y
\(\frac{\sin45}{y}=\frac{\sin 90}{5}\)cross multiply
\(y=\frac{5\times\sin 45}{\sin 90}=\frac{5\sqrt[]{2}}{2}\)To get x
\(\frac{\sin45}{x}=\frac{\sin 90}{5}\)\(x=\frac{5\times\sin 45}{\sin 90}=\frac{5\sqrt[]{2}}{2}\)Therefore, the answer is option C
1.)Solve the following equation by completing the square
2x-3x-28=0
2.) find the sum. (The photo goes with question 2)
Answers
what equation represents a line whose slope is 1/2 and whose y-intercept is 3
Answers
Answer:
y = 1/2x + 3
Step-by-step explanation:
anUm, y = mx + b format. M would be the slope, b is the y intercept. and obviosuly x and y are the x and y components :D
y=mx+b where m is the slope and b is the y intercept, m=1/2 and b=3
y=x/2+3 or more neatly
y=(x+6)/2
X-3y=15 and y=-3x+4 determine if the lines are parallel,perpendicular,or neither
Answers
Answer:
neither parallel or perpendicular.
Step-by-step explanation:
Answer:
3 x + y = 16
Step-by-step explanation:
Lisa wants to buy some new shirts at her favorite store. Each shirt costs $15 and she wants to buy a pair of shoes that are $35. Lisa only has $137 to spend.
Let S represent the number of shirts that Lisa buys.
Which inequality describes this scenario?
(A) 137> 15s +35
(B) 137< 15s +35
(C) 137≥ 15s +35
(D) 137≤ 15s +35
Answers
Considering the definition of an inequality, the correct answer is option (C): the inequality 15×S + 35≤ 137 describes the scenario.
Definition of inequalityAn inequality is the existing inequality between two algebraic expressions, connected through the signs:
greater than >.less than <.less than or equal to ≤.greater than or equal to ≥.An inequality contains one or more unknown values called unknowns.
Solving an inequality consists of finding all the values of the unknown for which the inequality relation holds.
Inequality in this caseIn this case, you know that
Each shirt costs $15.Lisa wants to buy a pair of shoes that are $35.Lisa only has $137 to spend.Being "S" the number of shirts that Lisa buys, the inequality that expresses the previous relationship is
15×S + 35≤ 137
Finally, the correct answer is option (C): the inequality 15×S + 35≤ 137 describes the scenario.
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I need help... on this question.
Answers
Answer:
Step-by-step explanation:
A+B= we will add both expressions
A+B=3x^4+2x^2-2x+1-2x^3+4x^2-3 we will add like terms
A+B= 3x^4-2x^3+6x^2-2x-2
A-B=3x^4+2x^2-2x+1-(-2x^3+4x^2-3)
A-B=3x^4+2x^2-2x+1+2x^3-4x^2+3
A-B=3x^4+2x^3-2x^2-2x+4
A natural food company produces and sells organic almond milk for $9.00 per gallon. This company
estimates its fixed costs to be 1121 dollars per month and the variable cost to produce each gallon of
almond milk is $7.50.
What is the margin of profit if 1494 gallons of almond milk are produced and sold each month?
A Select an answer of $
Answers
Okay, here are the steps to solve this problem:
Fixed costs per month: $1121
Variable cost per gallon: $7.50
Selling price per gallon: $9.00
Monthly sales (gallons): 1494
Cost of goods sold = Variable cost per gallon * Monthly sales
= $7.50 * 1494 gallons
= $11,105
Gross margin = Revenue - Cost of goods sold
= $9 * 1494 gallons
= $13,446
- $11,105 (Cost of goods sold)
= $2,341
Margin of profit = Gross margin - Fixed costs
= $2,341 - $1121
= $1,220
So the margin of profit if 1494 gallons are produced and sold each month is $1,220.
The answer is:
B $1,220
What is the probability of spinning a C
Answers
Find the value of x.
69°
138°
X
x = 0
Answers
Answer:
x = 106
Step-by-step explanation:
You want the measure of the unknown angle (x°) in the quadrilateral with angles 47°, 138°, and 69° given.
Angle sumThe sum of angles in a quadrilateral is 360°, so the measure of x is ...
x = 360 -47 -138 -69 = 106
Angle x° is 106°.
#95141404393
Evaluate the expression when a=-7. a^2+4a-2
Answers
Plug in the value to solve the expression.
\((-7)^2+4(-7)-2\)
\(49-28-2\)
\(19\)
Hope this helps.
頑張って!
Hey there!
a^2 + 4a - 2
= -7^2 + 4(-7) - 2
= -49 - 28 - 2
= -77 - 2
= -79
Therefore, your answer is: -79
Therefore, your answer is: -79
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Write in slope intercept form an equation of the line that passes through the given points. (0,4) (4,8) and (-2,3) (-4,4)
Answers
Answer:
y-8=1(x-4)
Step-by-step explanation:
I used the equations y-y/x-x and y-__y__=__m__(x-__x__)
i need this please its due in a hour
Answers
Answer:
see explanation
Step-by-step explanation:
(6)
The opposite sides of a parallelogram are congruent , so
10x + 6 = 4x + 18 ( subtract 4x from both sides )
6x + 6 = 18 ( subtract 6 from both sides )
6x = 12 ( divide both sides by 6 )
x = 2
--------------------------------------------------------
(7)
The opposite angles of a parallelogram are congruent , so
9z - 42 = 5z + 8 ( subtract 5z from both sides )
4z - 42 = 8 ( add 42 to both sides )
4z = 50 ( divide both sides by 4 )
z = 12.5
------------------------------------------------------------
(8)
The sum of the interior angles of a quadrilateral = 360°
Subtract the sum of the 3 given angles from 360° for 4th angle
4th angle = 360° - (49 + 111 + 133)° = 360° - 293° = 67°
-----------------------------------------------------------
(9)
Opposite sides are congruent , so
XZ = WY = 22
YX = ZW = 31
Which insect measurement was the most frequent?
Length of insects (in inches)
Answers
The insect measurement that was the most frequent is given as follows:
1 and 1/4 inches.
How to obtain the most frequent insect measurement?A dot plot is a simple graphical display that uses dots to represent data values. It is also sometimes called a dot chart or a scatterplot. In a dot plot, each data point is represented by a dot along a number line or axis, where the position of the dot corresponds to the value of the data point.
Hence, a dot plot shows the number of times that each observation appeared in the data-set.
The observation with the most dots is the observation 2/8 of the way between 1 and 2, hence the most frequent observation is given by the following mixed number:
1 and 2/8 = 1 and 1/4 inches.
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A distributor has two branches in TX. First branch has 70% of the customers, and the second one has the remaining 30%. The customer satisfaction at the first branch is 88% and at the second branch is 97%. The distributor has a centralized call center serving both branches. If an unsatisfied customer makes a call to the call center. What is the probability that it is a customer of the second branch
Answers
Answer
Probability of customer of second branch being unsatisfied is \(0.097\)
Explanation
Percent of customer registered with first branch \(= 0.7\)
Percent of customer registered with second branch \(= 0.3\)
Customer satisfaction at the first branch \(= 0.88\)
Customer satisfaction at the second branch \(= 0.97\)
Probability of customer of second branch being unsatisfied
\(= \frac{0.30 * (1-0.97)}{0.30 * (1-0.97) + 0.70 * (1-0.88)} \\= \frac{0.30 * 0.03}{0.30 *0.03 + 0.70 * 0.12} \\= 0.0967\\= 0.097\)
From a recent study, it was found that 10% of students travel outside of the country during spring break. Is this an example of descriptive statistics or inferential statistics?
Answers
This is an example of descriptive statistics. Descriptive statistics is used to summarize, organize, and present data in a meaningful way.
Is this an example of descriptive statistics or inferential statistics?It involves the collection, analysis, interpretation, and presentation of data. In this case, the study found that 10% of students travel outside of the country during spring break. This is a summary of the data collected and presents it in a way that is easy to understand. It gives a percentage of students who travel outside of the country during spring break, which can be used to describe the behavior or characteristics of students.On the other hand, inferential statistics is used to make predictions or draw conclusions about a population based on a sample of data. It involves using statistical methods to make inferences about a population from a sample. For example, if a study found that 10% of students at a particular university travel outside of the country during spring break, inferential statistics would be used to make predictions or conclusions about the behavior or characteristics of students at other universities.To learn more about inferential statistics refer to:
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30 POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
1 MANGO FRUIT IS EQUIVLENT TO HOW MANY CUBES OF SUGAR, KNOWING THAT EACH CUBE WEIGHTS 5 GRAMS?
Answers
Answer:
Step-by-step explanation: To determine the number of cubes of sugar equivalent to one mango fruit, we need to know the weight of a mango. Since you haven't provided that information, I cannot give you an accurate answer. However, on average, a medium-sized mango weighs around 150-200 grams. If we assume the weight of the mango is 150 grams, we can calculate the number of sugar cubes:
150 grams ÷ 5 grams/cube = 30 cubes
Therefore, if a mango weighs around 150 grams, it would be roughly equivalent to 30 cubes of sugar, assuming each cube weighs 5 grams.
Which explains whether or not the graph represents a direct variation?
Answers
Answer:
The slope is 3 and equation of the line is y=3x. I think the answer is the 1st option
Step-by-step explanation:
Given:
y=3x
Direct variation equations have the form:
y=kx,
where
k is the constant of proportionality
so k=3
In June, Jasmine earned $1200 in commission. In July, her commission decreased by 7% Write an expression that can be used to find her commission in July.
Answers
Answer:
$1116
Step-by-step explanation:
find the x
please help me asap
Answers
Sum of two interiors=Exterior
\(\\ \rm\Rrightarrow 39+6x+11=11x-10\)
\(\\ \rm\Rrightarrow 6x+50=11x-10\)
\(\\ \rm\Rrightarrow 60=5x\)
\(\\ \rm\Rrightarrow x=12\)
Help please!! don’t know what to do?!
Answers
Answer:
Step-by-step explanation:
Answer: .9:1.20
Step-by-step explanation:
There are 23 students in a sixth-grade class. Nine students play hockey.
What is the ratio of students who do not play hockey to the total amount of
students? (6.RP.1)
point
O 9 to 23
O 14 to 23
O 14 to 9
O 9 to 14
Answers
Answer:
14:23
Step-by-step explanation:
14:23
Answer:
its 14-23
Step-by-step explanation:
The principal at Riverside High School would like to estimate the mean length of time each day that it takes all the buses to arrive and unload the students. How large a sample is needed if the principal would like to assert with 90% confidence that the sample mean is off by, at most, 7 minutes. Assume that s=14 minutes based on previous studies.
Answers
Answer:
A
Step-by-step explanation:
I took test
A kite is a flying object consisting of a frame made of light materials, such as bamboo or plastic, covered in
paper or cloth, and flies with a string attached. The shape of a kite and the way it flies can be modeled using
a system of linear equations, which describe the relationships between variables in a mathematical model. In
this case, the variables might represent the lift and drag forces on the kite, the angle of the kite string, and
the wind speed and direction. By solving the system of linear equations, engineers and scientists can
understand how the kite will behave under different conditions and make predictions about its performance.
Answer the following.
1. A kite manufacturer produces two types of kites: standard and deluxe. The standard kite requires 2
meters of fabric and 5 meters of string, while the deluxe kite requires 3 meters of fabric and 7 meters
of string. If the manufacturer has 200 meters of fabric and 450 meters of string, how many of each
type of kite can they produce to maximize their profit?
Answers
The number of each kite the manufacturer can produce to maximize profit are;
90 standard kites or 64 deluxe kites
What is profit maximization?Profit maximization is a process used to increase the profit of a company to the highest levels.
Let x represent the number of standard kite produced and let y represent the number of deluxe kite produced. Let p represent the profit from selling one standard kite and let q represent the profit from selling one deluxe kite.
The constraints inequalities that can be obtained to solve the question using linear programming methodology are therefore;
2·x + 3·y ≤ 200 (The fabric constraints)
5·x + 7·y ≤ 450 (The string constraints)
x ≥ 0, y ≥ 0 (Non–negative constraints)
The objective function which is the total profit can be presented as follows;
z = p·x + q·y (total profit)
Therefore, we get;
Maximize: z = p·x + q·y
Subject to:
2·x + 3·y ≤ 200
5·x + 7·y ≤ 450
x ≥ 0, y ≥ 0
The graph of the above inequalities indicates that we get the following coordinates of the vertices of the feasible region;
(0, 64 2/7), (90, 0), (0, 0)
The objective function indicates that we get;
z(0, 64 2/7) = p × 0 + q × 64 2/7 = (64 2/7)·q
z(90, 0) = p × 90 + q × 0 = p × 90 = 90·p
z(0, 0) = p × 0 + q × 0 = 0
The company can produce 90 standard kites or 64 deluxe kites to maximize their profit
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Find the distance traveled in 25 seconds by an object traveling at a velocity of v(t) = 20 + 5cos(t) feet per second
Answers
Answer:
499.338 feet
Step-by-step explanation:
You want to know the distance traveled by an object in 25 seconds when its velocity is described by 20+5cos(t) feet per second.
DistanceThe distance an object travels is the integral of its velocity. For the given velocity and time period, the distance is ...
\(\displaystyle d=\int_0^{25}{v(t)}\,dt=\int_0^{25}{(20+5\cos(t))}\,dt=(20t+5\sin(t))|_0^{25}\\\\d=500+5\sin(25)\approx\boxed{499.338\quad\text{feet}}\)
The distance traveled in 25 seconds is 499.33 feet.
It is required to find the distance traveled in 25 seconds.
What is distance?The distance of an object can be defined as the complete path travelled by an object .Distance is a scalar quantity that refers to "how much ground an object has covered" during its motion.
Given:
We have to find the distance , we will integrate v(t) from 0 to 25 second.
Consider an object traveling at constant velocity v = k. Then, each second, it travels k feet, so after t seconds, the distance traveled is k*t.
Now, suppose its speed increases by 1 feet/sec . So, estimate for distance traveled after t seconds is
1 + 2 + 3 + 4 + ... + t = t(t+1)/2, or approximately 1/2 t^2.
According to given question we have
Given a velocity function v, the distance s is figured by taking the integral. In this case,
v = 20 + 5 cos(t)
s = 20t + 5 sin(t) from 0 to 25
= s(45)-s(0)
s(0) = 0
so, the distance is
s(25) = 20*25 + 5sin(25)
= 500 -0.661
=499.33 feet.
Therefore, the distance traveled in 25 seconds is 499.33 feet.
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The accompanying data are from the article "Characteristics of Buyers of Hybrid Honda Civic IMA: Preferences, Decision Process, Vehicle Ownership, and Willingness-to-Pay" (Institute for Environmental Decisions, November 2006). Each of 306 people who purchased a Honda Civic was classified according to gender and whether the car purchased had a hybrid engine or not.Suppose one of these 306 individuals is to be selected at random.a. Find the following probabilities:i. P(male)ii. P(hybrid)iii. P(hybrid|male)iv. P(hybrid|female)v. P(female|hybrid)b. For each of the probabilities calculated in Part (a), write a sentence interpreting the probability. c. Are the probabilities P(hybrid|male) and P(male|hybrid) equal? If not, write a sentence or two explaining the difference between these two probabilities.
Answers
The probabilities are
i. P(male) ≈ 0.503
ii. P(hybrid) ≈ 0.324
iii. P(hybrid|male) ≈ 0.208
iv. P(hybrid|female) ≈ 0.441
v. P(female|hybrid) ≈ 0.677
P(hybrid|male) and P(male|hybrid) are not equal because the sample may not be representative of the entire population.
What is probability?
Probability is a measure of the likelihood of an event occurring, expressed as a number between 0 and 1, with 0 indicating an impossible event and 1 indicating a certain event.
a.
i. P(male) = number of males in the sample / total number in the sample = 154 / 306 ≈ 0.503
ii. P(hybrid) = number of hybrid cars purchased / total number in the sample = 99 / 306 ≈ 0.324
iii. P(hybrid|male) = number of males who purchased a hybrid / total number of males in the sample = 32 / 154 ≈ 0.208
iv. P(hybrid|female) = number of females who purchased a hybrid / total number of females in the sample = 67 / 152 ≈ 0.441
v. P(female|hybrid) = number of females who purchased a hybrid / total number of people who purchased a hybrid = 67 / 99 ≈ 0.677
b.
i. P(male) represents the probability of randomly selecting a male from the sample of 306 people who purchased a Honda Civic.
ii. P(hybrid) represents the probability of randomly selecting a car from the sample that has a hybrid engine.
iii. P(hybrid|male) represents the probability of selecting a hybrid car given that the person selected is male.
iv. P(hybrid|female) represents the probability of selecting a hybrid car given that the person selected is female.
v. P(female|hybrid) represents the probability of selecting a female given that the car selected has a hybrid engine.
c. No, P(hybrid|male) and P(male|hybrid) are not equal. P(hybrid|male) represents the probability of selecting a hybrid car given that the person selected is male, while P(male|hybrid) represents the probability of selecting a male given that the car selected has a hybrid engine. These probabilities are different because the sample is not necessarily representative of the entire population.
Hence, the probabilities are
i. P(male) ≈ 0.503
ii. P(hybrid) ≈ 0.324
iii. P(hybrid|male) ≈ 0.208
iv. P(hybrid|female) ≈ 0.441
v. P(female|hybrid) ≈ 0.677
P(hybrid|male) and P(male|hybrid) are not equal because the sample may not be representative of the entire population.
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If a=35, find the value of X.
Answers
Answer:
cCompute the value of x if angle a=35 ° angle b=45° angle c=50°. 2. See answers. Log in to add comment. Answer. 2.3/5. 2. 123jiya73. Helping ...