Given each function and domain find the range values y=3x +1; domain = (-1,0, 1, 4)
Answers
To determine the range for the function for the domain given we need to plug each value in the domain into the expression for the function:
For x=-1 we have:
\(\begin{gathered} y=3(-1)+1 \\ y=-3+1 \\ y=-2 \end{gathered}\)For x=0 we have:
\(\begin{gathered} y=3(0)+1 \\ y=0+1 \\ y=1 \end{gathered}\)For x=1 we have:
\(\begin{gathered} y=3(1)+1 \\ y=3+1 \\ y=4 \end{gathered}\)For x=4 we have:
\(\begin{gathered} y=3(4)+1 \\ y=12+1 \\ y=13 \end{gathered}\)Therefore, the range of the function for the given domain is:
\(\text{range}=\lbrace-2,1,4,13\rbrace\)Related Questions
Aleks topic please help
Answers
Answer:
Item price now= 3.95
Step-by-step explanation:
To find out the price now, we will subtract 79 (original price) by 95% of 75. That will equal the discounted price. Finding the percentage of anything, we can use the formula, Total amount•percentage/100. The total amount is 79, and the percentage is 95. 79•95=7505, 7505/100=75.05. Now, 95% of 79 is 75.05, 79-75.05=3.95. $3.95 is the price now of the item. Though, I am unsure what a ALEKS calculator is. Have a nuce time, and joyful day
5/6 multiples by 10/11
Answers
Answer:
0.757... (recurring)
Step-by-step explanation:
5 10 50
_ x _ = _
6 11 66
50/66 = 0.757...
:D
Answer:
50/66
Step-by-step explanation:
\((\frac{5}{6})(\frac{10}{11}) = \frac{50}{66}\)
Have a great day!
please do for me number 8 g
I will give brainlist thanks
Answers
Answer:
1/2 3,4 (3,2) ab)
plaz..mmnj k,mnmnm 1
Answers
Answer:
Option 1
Step-by-step explanation:
3x - 7y = -7y + 3x
They have simply been moved to opposite ends of the equation.
Element X is a radioactive isotope such that every 6 years, its mass decreases by a half. Given that the initial mass of a sample of
Element X is 46 grams, write a function to model the mass of the element.
Answers
Which of the following pairs show(s) two congruent triangles?
O B only
OB and C only
O A, B, and C
O A and C only
Answers
Answer:
B only
Step-by-step explanation:
Triangles A and C are similar, but not congruent to each other. Similar triangles have proportional sides and congruent angles, while congruent triangles have congruent sides and congruent angles.
Therefore, only B is correct
The question is asking for pairs of congruent triangles but lacks key information needed to accurately answer this, such as lengths or angles. Congruent triangles are identified in geometry based on either side-lengths or angles.
Explanation:The question is about congruent triangles, which in mathematics means triangles that have the same size and shape. But to accurately answer which pairs show two congruent triangles, we need more information. The options provided include 'A', 'B', and 'C' but without knowing more about these elements (for example their lengths or angles), it is impossible to determine which are congruent. Congruent triangles are identified in geometry based on either side lengths (SSS: Side-Side-Side, SAS: Side-Angle-Side, ASA: Angle-Side-Angle) or angles (AAS: Angle-Angle-Side, HL: Hypotenuse-Leg for right triangles). Without this vital information, we cannot definitively answer the question. Be sure to verify all the properties required to prove two triangles congruent.
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24. Mr. Reilly is a truck driver. His truck has 6 wheels
on each side. How many wheels are there on the truck?
Answers
Answer:
12
Step-by-step explanation:
unless placed in an inconvinient way, this is really the one that makes sense.
A square garden has a length of (x+3) ft and a width of (x+2) ft. what is the perimeter and area of the garden?
Answers
Answer:
Perimeter:\(4x+10\) feet
Area:\(x^{2}+5x+6\) feet
Step-by-step explanation:
The perimeter is equal to 2*width +2*length. The width is x+2 and the length is x+3, therefore the perimeter is equal to 2x+4+2x+6 which equals 4x+10.
The area is equal to width*length
(x+3)(x+2)=\(x^{2}+2x+3x+6=x^{2}+5x+6\)
The expression (Ux²+x-T) (2x-1) can be written in the form (2x-1)²(x+S) where U, T and S are constant. Find the values of U, T and S....... Please help me solve this polynomial
Answers
Answer:
U=2, S=1, T=1
Step-by-step explanation:
(Ux²+x-T) (2x-1)=(2x-1)²(x+S)
(Ux²+x-T)=(2x-1)(x+S)=2x²+(2S-1)x-S
U=2
2S-1=1 --> S=1
T=S=1
a) You have a piece of string that is 36m long. find the areas of all the shapes you can make which have a perimeter of 36m. b) A piece of land has an area of 100m². How many meters of wire fencing is needed to enclose it?
Answers
a. The areas of the square is 81m² and for rectangle is 72m²
b. The perimeter of the square is 40m
What are the areas of all the shapes you can make which have a perimeter of 36m?a. To determine the area of the shapes in which we have that have a perimeter of 36m, we can consider rectangle and square.
For a square;
Perimeter of square = 4L
36 = 4L
L = 9m
The area of the square will be L² = 9² = 81m²
For a rectangle;
The perimeter of rectangle is;
P = 2(L + W)
We can assume that two numbers which will represent the length and width are;
L = 12m, W = 6m or L = 6m, W = 12m
A = 12 * 6 = 72m²
b.
The area of the wire is 100m², the perimeter for this can be calculated when we consider square and rectangle;
Perimeter of square = 4L
Area of square = L² = 100m²
L = 10m
The perimeter of the wire is 4(10) = 40m
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What formula would you use to find
pressure?
Answers
6. Graph the following line.
X=5
x-intercept =
y-intercept =
Answers
Answer:
x intercept =5 y intercept =0
Step-by-step explanation:
To evaluate whether customers enjoy the barista’s new smoothie, a restaurant manager surveys every other customer who orders the new smoothie. The manager determines that customers enjoy the new smoothie. Select all the statements that are true about the sampling method.
Answers
The sampling method used by the restaurant manager allows for efficient data collection and a representative sample, it may introduce bias and lacks randomization.
Based on the information provided, we can identify the following statements that are true about the sampling method used by the restaurant manager to evaluate customer satisfaction with the new smoothie:
1. The manager uses systematic sampling: The manager surveys every other customer who orders the new smoothie. This systematic approach involves selecting every second customer, providing a consistent and organized sampling method.
2. The sample is representative: By surveying every other customer who orders the new smoothie, the manager ensures that the sample includes a variety of customers, reflecting the customer population as a whole.
3. The sample size may be smaller than the total customer base: Since the manager surveys every other customer, the sample size may be smaller compared to surveying every customer. This allows for efficient data collection and analysis.
4.The sampling method may introduce bias: The manager may inadvertently introduce bias by only surveying every other customer. Customers who are skipped in the survey may have different preferences or opinions, leading to a potential bias in the results.
5. The sampling method lacks randomization: Randomization is not employed in this sampling method, as the manager systematically selects customers. This could potentially introduce bias or exclude certain types of customers from the sample.
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What is the length of side c?
Answers
Hope this helps!! I used pythagorean theorem! my steps are in the picture, invade you have a similar problem later on!!
Use a Venn diagram to find the greatest common factor of 12 and 30.
The GCF is?
Answers
you want wall-to-wall carpeting in your room, which measures 24' x 1' . Carpeting is on sale for 9.97 per square yard. estimate the cost. round answer where possible.
Answers
Answer:
Step-by-step explanation:
First, we need to convert the dimensions of the room from feet to yards, since the price is given per square yard.
24 feet = 8 yards (since 1 yard = 3 feet)
So the dimensions of the room are 8 yards x 1 yard.
The area of the room is 8 x 1 = 8 square yards.
The cost of the carpeting per square yard is $9.97.
So, the estimated cost of the carpeting would be:
8 x $9.97 = $79.76
Rounding this to the nearest cent gives an estimated cost of $79.76.
PLEASE HELP!!! I WILL GIVE BRAINLIEST
Answers
Answer:x=2y=3
Step-by-step explanation: I did this before
what is equivalent too 4a + 10
Answers
Evaluate 10 - (x + 3) when 2 = 2.
Answers
Answer:
5
Step-by-step explanation:
Im asuming you meant " x = 2 ".
According to PEMDAS, parenthese come first so...
10 - ( 2 + 3 )
= 10 - 5
= 5
Answer:
its 50
Step-by-step explanation:
10 times (x+3) x=2
2 plus 3 is 5
10 time 5
=50
Consider the first quadrant of the unit circle. How does the covenant ratio change as the sine ratio increases?
Answers
Answer:
For acute angles, remember what sine means: opposite over hypotenuse. If we increase the angle, then the opposite side gets larger. That means "opposite/hypotenuse" gets larger or increases.
Step by Step:
Keep this in mind >>
Consider the unit circle > The sine and cosine ratios are the only ratios that have 1 (the radius or hypotenuse) as the denominator. The numerators (sides) vary between 0 and 1, thus determining that the sine and cosine do the same.
All of the other ratios (tangent, cotangent, secant, cosecant) have a side as the denominator, varying between 0 and 1. As any denominator approaches 0, the value of the ratio approaches infinity.
If you earn $450 per week what is your annual salary?
Answers
Answer:
$23400
Step-by-step explanation:
There are 52 weeks in a year, so multiply 450 by 52.
$23400
Answer:
your annual salary will be
$1800 monthly
$23400 yearly
Step-by-step explanation:
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Is 13/ 4 the same as 3 1/4 ? Explain your answer in complete sentences.
Answers
Answer:
no it is not the same.
Step-by-step explanation:
it is not the same because 13/4 is smaller than 3/14. 3 1/4 includes a whole number, and 13/4 doesn't.
A random sample of 100 cars was taken and data were recorded on the miles per gallon (mpg) in the city and on the highway. The mean city mpg was 28 with a standard deviation of 9.2. The mean highway mpg was 35 with a standard deviation of 8.6. The correlation coefficient between city mpg and highway mpg is 0.95. Although a scatterplot is not show, it has been determined that a linear equation is appropriate for the data. Determine the correct value of the slope for the linear model that predicts highway mpg based on city mpg and interpret it in context.
Answers
Answer:
0.89
Step-by-step explanation:
Nunber of samples = 100
City mpg :
Mean = 28
Standard deviation =9.2
Highway mpg:
Mean = 35
Standard deviation = 8.6
correlation Coefficient (r) between city mpg and highway mpg = 0.95.
The value of the slope of the regression line that predicts highway mpg based on city mpg can be obtained by:
(Standard deviation of highway mgp / standard deviation of city mpg) × correlation Coefficient
Slope = (8.6 / 9.2) × 0.95
Slope = (0.934782 × 0.95) = 0.8880
Slope = 0.89 ( two decimal place)
what is the property of 3x(5x7)=(3x5)7
Answers
The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.
In the equation you provided: 3x(5x7) = (3x5)7
The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.
!!!!!!(VERY URGENT)!!!!!!! Find the area of the composite shape given in the figure.
Answers
Answer:
43.7 square units
Step-by-step explanation:
you can create 3 rectangles by extending the line through point A until it meets the top line, do same with extending line through point B
the area of the rectangle on left is 6.5 x 4, which is 26
the area of the center rectangle is 1.8 x 3.5, which is 6.3
the area of the rectangle on right is 3.8 x 3, which is 11.4
Which method would determine the volume of the prism shown below?
2-¹ cm
5 cm
2 cm
O
10 unit cubes and 10 one-quarter cubes gives 10+ (10x)
30 unit cubes and 10 one-quarter cubes gives
20 unit cubes and 10 one-quarter cubes gives 20+ 10x
¹+(10x) a
a
as the volume.
20+/1
as the volume.
+ (10x²1²) 251
as the volume.
Answers
The method that determines the volume of the prism is simply multiply the area of the base by the height, and the result is 12.5 cm³. (option-a)
To determine the volume of the prism shown in the diagram, we need to multiply the area of the base by the height.
The base of the prism is a rectangle with dimensions 5 cm by 2 cm. Therefore, the area of the base is:
A = length x width = 5 cm x 2 cm = 10 cm²
The height of the prism is 2-¹ cm, which is equivalent to 5/4 cm.
Therefore, the volume of the prism is:
V = A x h = 10 cm² x 5/4 cm = 12.5 cm³
The expressions involving unit cubes and one-quarter cubes are not relevant to this problem and do not provide a method for finding the volume of the prism.
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Button jar contains 5 red buttons, 3 blue buttons, 1 green button and 1 yellow button. What is the probability that if I reach in and pull out a button randomly, it will be blue?
Using the same jar, with 5 red buttons, 3 blue buttons, 1 green button and 1 yellow button. I pull out 1 button, replace it and shake the jar, and pull out a second button. What is the possibility that neither button is red?
Answers
Answer:
First we need to calculate how many buttons there are. There are 10 buttons. So the probability of getting a blue one is 3/10 for 3 buttons. So that means that the answer to the first one is 30%. So if we get that neither is red we know that the probability of getting a red one is 5/10. So there is a 50% chance of getting a red button and 50% of not. Then we multiply them 5/10*5/10 for 2 times. we get 25/100 aka 25%. So the answer to this question is 25%.
Answer to first: 30%Answer to second: 25%Sienna buys a mystery pack of sparkly modeling clay. The pack has 5 colors, and there are 7 possible colors that are all equally likely. Sienna wants to know the probability that at least 2 of the colors will be the same. Which of the following is the best simulation? Explain your reason for your answer.
A. Roll a standard number cube 5 times for each trial. Let each number represent a different color. Run 50 trials and find the fraction of times that at least two of the same number are rolled.
B. Create a spinner with 5 equal sections. Label each section with a different color. Spin the spinner 7 times to see if it lands on the same color two or more times.
C. Create a spinner with 7 equal sections. Label each section with a different color. Spin the spinner 5 times for each trial. Run 50 trials and find the fraction of times the spinner lands on the same color two or more times.
D. Put 5 pieces of paper in a bag, each labeled with a different color. For each trial, randomly select and replace a paper 7 times. Run 50 trials and find the fraction of times that at least two of the same color appear.
Answers
The probability that at least 2 of the colors will be the same, the following is the best simulation is Option D Put 5 pieces of paper in a bag, each labeled with a different color. For each trial, randomly select and replace a paper 7 times. Run 50 trials and find the fraction of times that at least two of the same color appear.
Given, Sienna buys a mystery pack of sparkly modeling clay. The pack has 5 colors, and there are 7 possible colors that are all equally likely. We have to find the probability that at least 2 of the colors will be the same. There are 5 colors in the pack of clay, and 7 colors are possible in total.
So, the probability of picking any color at random is
P(picking a color) = 5/7 = 0.7143Let P(X = 2) be the probability that exactly 2 of the colors are the same.
Then, the probability that at least 2 of the colors are the same can be calculated by using the formula:
P(X ≥ 2) = 1 - P(X < 2).
The simulation method that can be used to find the probability of at least 2 of the colors will be the same in the mystery pack is option D.
Put 5 pieces of paper in a bag, each labeled with a different color. For each trial, randomly select and replace a paper 7 times. Run 50 trials and find the fraction of times that at least two of the same color appear.
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Use the sliders to change the values of a, b, c, and d in the cosine function. Which equation has a maximum at (0, –1) and a minimum at ((StartFraction pi Over 3, negative 5)).
Answers
Answer:
If you have to do the sliders problem the answeres in order are, set a to -3, set b to 2 and keep c at 0.
Step-by-step explanation:
the correct answer is y=-3 sin(2x) and the equation from the sliders should match the answer.
y=-3 sin(2x) is the equation has a maximum at (0, –1) and a minimum at ( pi Over 3, negative 5)
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
Given,
We need to use the sliders to change the values of a, b, c, and d in the cosine function.
We need to find the equation which has maximum at (0, –1) and a minimum at (pi Over 3, negative 5)).
While doing slider problems we have to set the values as set a to -3, set b to 2 and keep c at 0.
y=-3 sin(2x) is the answer and the equation from the sliders should match the answer.
Hence y=-3 sin(2x) is the equation has a maximum at (0, –1) and a minimum at ( pi Over 3, negative 5)
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Choose the most reasonable Celsius temperature for a snowy day.
17°C 26°C -6°C
Choose the most reasonable Celsius temperature for a snowy day.
O A. 26°C
OB. 17°C
C. -6°C
Answers
The most reasonable temperature for a snowy day is given as follows:
C. -6°C
How to obtain the most reasonable temperature?Considering that it snows, the temperature is either negative or very low positive, as snow only happens on temperatures close to freezing (like 2º C) or negative.
17ºC and 26ºC are far from cold enough to generate snow, hence the most reasonable temperature for a snowy day is given as follows:
C. -6°C
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