Answer: First Option
[tex]y + x = 5[/tex]
Step-by-step explanation:
The linear functions have the following form
[tex]ax ^ n + bx ^ m = c[/tex]
Where a and b are constants and are real numbers and the exponent n and m is always equal to 1.
[tex]m=n=1[/tex]
In other words, the linear equations have the form
[tex]ax + by = c[/tex]
Identify among the options the functions that have this form
[tex]y + x = 5[/tex] is a linear function with [tex]a = 1[/tex], [tex]b = 1[/tex], [tex]c = 5[/tex] and [tex]m=n=1[/tex]
[tex]y + x^2 = -2[/tex] is not a linear function because [tex]n\neq 1[/tex].
[tex]y = 2x^3 + 1[/tex] is not a linear function because [tex]n\neq 1[/tex]
[tex]3x^2 + y^2 = -4[/tex] is not a linear function because [tex]n\neq 1[/tex] and [tex]m\neq 1[/tex]
Answer:
y + x = 5
Step-by-step explanation:
The graph of [tex]y+x=5[/tex] is a straight line
The graph of [tex]y+x^2=-2[/tex] is a parabola.
The graph of [tex]y=2x^3+1[/tex] is a non-linear curve.
The graph of
[tex]3x^2+y^2=-4[/tex] is an ellipse.
A graph of a linear function is a straight line.
Therefore y + x = 5 is the correct choice.
A gardener is planning to fill her garden with mulch. She plots it on a grid to plan how much she will need. The garden is in the shape of a rectangle with vertices at (2, 5) (8, 5) (8, 3) and (2, 3). One bag of mulch covers 6ft2 and costs $5.25. How much will it cost her to cover her garden?
Answer:
$10.50
Step-by-step explanation:
If you draw the points on a grid, you will see that the length of the rectangle is 8 -2 = 6 feet & width of the rectangle is 5 -3 = 2 feet.
Hence the area of the rectangle is 6 * 2 = 12 feet^2
Since one bag cover 6 ft^2, he will need 2 bags to cover 12 ft^2.
Each bag costs 5.25, so 2 bags will cost 5.25 * 2 = $10.50
Gardner will need $10.50 to cover the garden
The cost for the gardener to cover her garden with mulch is $10.50.
First, we need to calculate the area of the garden, which is a rectangle. The area of a rectangle is given by the formula:
[tex]\[ \text{Area} = \text{length} \times \text{width} \][/tex]
Using the given vertices (2, 5), (8, 5), (8, 3), and (2, 3), we can determine the length and width as follows:
- Length (horizontal distance between (2, 5) and (8, 5)): ( 8 - 2 = 6 ) feet
- Width (vertical distance between (2, 5) and (2, 3)): ( 5 - 3 = 2 ) feet
Now, we calculate the area of the garden:
[tex]\[ \text{Area} = 6 \text{ feet} \times 2 \text{ feet} = 12 \text{ ft}^2 \][/tex]
Next, we need to find out how many bags of mulch are required to cover this area. Since one bag covers 6 ft², we divide the total area by the area covered by one bag:
[tex]\[ \text{Number of bags} = \frac{\text{Total area}}{\text{Area per bag}} = \frac{12 \text{ ft}^2}{6 \text{ ft}^2/\text{bag}} = 2 \text{ bags} \][/tex]
Finally, we calculate the total cost by multiplying the number of bags by the cost per bag:
[tex]\[ \text{Total cost} = \text{Number of bags} \times \text{Cost per bag} = 2 \text{ bags} \times $5.25/\text{bag} = $10.50 \][/tex]
Therefore, the gardener will need to spend $10.50 to cover her garden with mulch.
Write the relation as a set of ordered pairs
ANSWER
C. {(-2,-1),(0,1),(2,3)}
EXPLANATION
To write the relation as an ordered pair, we write out the coordinates of the points.
Starting from left to right, the first point has coordinates,(-2,-1).
The second point has coordinates;
(0,1)
The third point has coordinates (2,3).
Therefore the relation as ordered pair is;
{(-2,-1),(0,1),(2,3)}
The correct answer is C.
Please Answer if you know this you might know my other ones i really really need help thank you so much They Have More Than 5 Points On Them
Answer:
3,3,6
Step-by-step explanation:
The sides of a triangle are a,b,c
We know a+b< c where a and b are the two smaller sides
3+4 <5 True
4+5 <6 True
3+3 <6 False they are equal. This will not make a triangle
A carpet cleaner charges $0.70 per square foot to clean carpet. In the next house she is going to clean, the living room measures 18 feet by 24 feet. How much will she charge?
18 * 24 equals something that should be right then you times that by 0.70 square foot to clean the carpet and then you're going to get your total so the charge would be a number that's all I have for you today
Answer:
$302.4
Step-by-step explanation:
We are given that a carpet cleaner charges $0.70 per square foot to clean carpet.
She needs to clean a room measuring 18 feet by 24 feet and we are to calculate how much will she charge for it.
Area of the room = [tex] 1 8 \times 2 4 [/tex] = 432 square feet
Amount she will charge = [tex] 4 3 2 \times 0 . 7 0 [/tex] = $302.4
A pizza parlor uses 42 tomatoes for each batch of tomato sauce about how many batches of sauce can the pizza parlor make from its last shipment of 1,236 tomatoes
Answer:
about 29
Step-by-step explanation:
You just need to divide 1,236 by 42, which equals = 29.4
The pizza parlor can make 29 full batches of tomato sauce from its last shipment of 1,236 tomatoes by dividing the total number of tomatoes by the number of tomatoes required for a single batch.
The question asks, how many batches of sauce can the pizza parlor make from its last shipment of 1,236 tomatoes if a single batch requires 42 tomatoes. To find the answer, we need to divide the total number of tomatoes by the number of tomatoes needed for a single batch.
Step-by-step calculation:
Identify the total number of tomatoes: 1,236.Identify the number of tomatoes needed for one batch: 42.Divide the total number of tomatoes by the number required per batch: 1,236 tomatoes ÷ 42 tomatoes per batch = 29.4285714286 batches.Since the pizza parlor cannot make a fraction of a batch, it can make 29 full batches of tomato sauce from its last shipment of 1,236 tomatoes.
What is a credit report? a. A credit report is a number representing your creditworthiness. b. A credit report is a detailed listing of your credit history. c. A credit report is a ranking which compares your creditworthiness to others. d. A credit report is a missed payment or other factor which negatively affects your credit.
Answer:
b. A credit report is a detailed listing of your credit history.
Step-by-step explanation:
A credit report is a detailed listing of your credit history, The credit point, which might be an excellent or poor credit score, is now displayed in the credit report, hence option B is correct.
What is a credit report?A credit report ranks your creditworthiness in relation to others. A negative credit factor is a missed payment or another item on your credit record. To compile the credit scores of every employee in Will's department, per the request of his employer.
A person who has a high credit score report is therefore qualified for larger loans from the market, whereas a person who has a low credit score report is not qualified for larger loans from the market.
Therefore, a credit report is a detailed listing of your credit history.
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When solving a quadratic in the form ax^2+bx+=0 we are really finding the x–intercepts. These x–intercepts are also called roots. What is another term for roots or x-intercepts? a. exponents c. zeros b. quadratics d. variables
Answer:
Step-by-step explanation:
zeros
Answer:
the answer is variables.
The formula d= rt means that the distance traveled is equal to the rare times the time.
Solve d=rt for r
r=d/t Rate is equal to distance divided by time.
What’s three points that satisfy the system of inequality’s of 4x+6y<24
Answer:
(0,0), (1,1), (2,2)
Step-by-step explanation:
When testing to find possible points in situations like this, I always start by testing with the origin point (0,0).
In this case:
4x+6y<24 ==> 0 + 0 < 24 TRUE, it satisfies the inequality.
We then try with (1,1):
4x+6y<24 ==> 4 + 6 < 24 TRUE, it satisfies the inequality.
And with (2,2):
4x+6y<24 ==> 8 + 12 < 24 TRUE, it satisfies the inequality.
Alberto feeds his fish the same amount of food each day. A 2 ounce jar of fish food flakes has enough food for Alberto to feed his fish for 100 days. how many ounces of food will alberto need for 110 days?
If the 2-ounce jar of fish food is enough for 100 days, then for 110 days you can say: 2/100= 0.02 ounces of fish food per day in 100 days. So, because there are 10 more days, 10 x 0.02= 0.2 So, add 2.0 + 0.2= 2.2. The answer is 2.2 ounces of food.
An amusement park charges am admission fee of 25 dollars per person , the cost C (in dollars ) of admission for a group of P people is given by the following function.
C(P)=25p
What is the cost of admission for a group of 2 people?
The cost of admission for a group of 2 people is 50 dollars.
The given function C(P) represents the cost C (in dollars) of admission for a group of P people at the amusement park. The function is a simple linear equation with a slope of 25, indicating that the cost of admission increases by 25 dollars for each additional person in the group.
To find the cost of admission for a group of 2 people, we will substitute P = 2 into the function:
C(2) = 25 * 2
C(2) = 50
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What is the standard deviation of the data set given below 5 7 9 11 13
Answer:
3.1623 (sqrt(10))
Step-by-step explanation:
Standard Deviation is calculated by first squaring the differences between the observations and the mean and then taking the square root of the sum of the squares of the differences divided by the number of observations - 1.
Mean = Sum of Observations/Total Observations
Mean = (5 + 7 + 9 + 11 + 13)/5 = 45/5 = 9.
Square of the mean = 9^2 = 81.
Now subtracting the mean from each observation and squaring it gives:
(5 - 9)^2 = (-4)^2 = 16
(7 - 9)^2 = (-2)^2 = 4
(9 - 9)^2 = (0)^2 = 0
(11 - 9)^2 = (2)^2 = 4
(13 - 9)^2 = (4)^2 = 16
Sum of squares = 16 + 4 + 0 + 4 + 16 = 40.
Standard deviation = sqrt(40/4) = sqrt(10) = 3.16 (correct to 2 decimal places).
Therefore, answer is 3.16!!!
Answer:
sqrt 10
Step-by-step explanation:
a-p-e-x
The ratio of men to women in a movie theater is 3:5. As two more men and one more woman walk in, the ratio of men to women becomes 2:3. How many women were in the theater before these three walked in?
A. 5
B. 6
C. 20
D. 21
Answer:
C. 20
Step-by-step explanation:
Let's say M is the original number of men and W is the original number of women.
M / W = 3 / 5
(M+2) / (W+1) = 2 / 3
Let's cross multiply both equations:
5M = 3W
3(M+2) = 2(W+1)
Let's simplify the second equation:
3M + 6 = 2W + 2
3M + 4 = 2W
From the first equation:
M = 3/5 W
Substitute:
3 (3/5 W) + 4 = 2W
9/5 W + 4 = 2W
4 = 1/5 W
W = 20
There were originally 20 women.
Let's check our answer. That would mean that M = 3/5 W = 12.
After 2 men walk in and 1 woman, W = 21 and M = 14, so 14/21 = 2/3. Looks like the answer is correct!
Answer C.
Helpppppppp me plzzzz
200.96 inches i think!!!
You have to use the calculator but you just gonna have do multiple 3.14 times 16 elevated by 2 and get your result
(APEX)
You run two races.
Let event A = You win the first race.
Let event B = You win the second race.
What does P(BIA) represent?
Answer:
C The probability that you win the second race given that you won the first race
Step-by-step explanation:
P(B|A) means the probability of B occurring given that A has occurred.
The probability that you win the second race given that you won the first race
Answer:
c.
Step-by-step explanation:
Because it says p(b/a) so that would be
Probability= you win the second race given that you win the first race
plzzzz help 20 points and give me the right answer
Answer:
first image is for the first inequality, the second image is for the second inequality
hope this helps!
F(x) = x^2. What is g(x)?
Answer:
The correct answer is C. g(x) = 1/4x^2
Step-by-step explanation:
In order to determine if the graph fits, take the point that is given on the parabola and see if it fits the equation. To do that we plug it in and see if it gives a true statement.
(2, 1)
g(x) = 1/4x^2
1 = 1/4(2)^2
1 = 1/4(4)
1 = 1 (TRUE)
Answer:
C, g(x) = 1/4x²
Step-by-step explanation:
the parent function of g(x) is the function f(x) = x² as shown on the graph
with the coefficient 1/4 in front of the parent function, we can determine its transformation.
it is a vertical shrink by 1/4 of the original graph. the reason why we know this is because a vertical shrink/stretch has a coefficient on the outside of the parent function (as shown in g(x)) and if we follow the rule:
b > 0 < this is a vertical stretch
b < 0 < this is a vertical shrink
b in this function is 1/4, which is less than 0
Need help with 18- 23 . I tried doing them but come up with different answers not on the paper
18. 2/7 or b
19. 3/4 or b
20. Unable to see
21. 9/20 or a
22. 1/4 or a
23. 27/35 or b
A cylindrical plastic pipe’s length is 12 cm and it’s radius is 2.5 cm. To the nearest tenth, what is the volume of the pipe?
Answer:
V = 235.6 cm³
Step-by-step explanation:
the formula for the volume of a cylinder of radius r and length h is
V = πr²h.
Here, r = 2.5 cm and h = 12 cm, so the volume is:
V = π(2.5 cm)²(12 cm) = 75π cm³
To the nearest tenth, this volume would be V = 235.6 cm³
Answer:
volume = 235.7 cm³
Step-by-step explanation:
To find the volume of the cylindrical plastic pipe, we simply use the formula:
volume of a cylinder = π r ² h
where r is the radius , and h is the height
From the question above, radius r = 2.5cm h =12 cm and π is a constant which is always equal to [tex]\frac{22}{7}[/tex] unless specified otherwise.
Now all we need to do is to insert our values into the formula;
volume of a cylinder = π r ² h
volume of a cylinder = [tex]\frac{22}{7}[/tex] × 2.5² × 12
= [tex]\frac{22}{7}[/tex] × 6.25 × 12
= [tex]\frac{1650}{7}[/tex]
= 235.714
≈235.7 cm³ to the nearest tenth
Therefore the volume of the cylindrical plastic pipe is 235.7 cm³
Find the distance between the points given. (3, 4) and (4, 7) √(10) 3 2√2
Answer:
Step-by-step explanation:
givens
x1 = 3
x2 = 4
y1 = 4
y2 = 7
formula
d = sqrt( (x1 - x2)^2 + (y1 - y2)^2 )
solution
d = sqrt( (3 - 4)^2 + (4 - 7)^2 )
d = sqrt ( 1 + 3^2)
d = sqrt( 1 + 9)
d = sqrt( 10)
A field with an area of 2880 ft^2 has the shape of a rectangle, whose length is 12 ft larger than its width. Find the dimensions of this field.
ANSWER
w=48,l=60
EXPLANATION
Let the width of the field be, w , then,
the length of the field will be:
[tex]l = 12 + w[/tex]
The area of a rectangle is
[tex]Area = lw[/tex]
This implies that:
[tex]w(12 + w) = 2880[/tex]
Expand
[tex] {w}^{2} + 12w = 2880[/tex]
[tex] {w}^{2} + 12w - 2880 = 0[/tex]
[tex](x + 60)(x - 48) = 0[/tex]
This implies that,
[tex]w = - 60 \: w = 48[/tex]
The dimensions are positive, the width is 48 and the length is 12+48=60
A lighting Products company has put a new brand of solar lightbulbs on the market the graph shows the estimated revenue in millions of dollars as the selling price of the lightbulb varies.
What selling price is to be expected to produce the maximum revenue
Answer:
$5
Step-by-step explanation:
Answer:
Answer is $5.00.
Step-by-step explanation:
The lighting products company has put a new brand of solar light bulbs on the market.
Graph attached shows the estimated revenue in million dollars at y - axis and selling price of the light bulb represented on x - axis.
Graph analysis
Maximum revenue generated from the graph is given as 3 million dollars.
For this maximum revenue of 3 million dollars price of the bulb was $5.00.
Therefore, $5.00 is the selling price of the bulb for which maximum revenue is expected.
A single Rhinovirus is 2 × 10-8 meters long, and a single E. coli bacterium is 2 × 10-6 meters long. How many times larger is an E. coli bacterium than a Rhinovirus?
Multiply it by using scientific notation then multiply 2X0.00000010 and compare it to the coil which is 2X0.000010
Answer:
E coli bacterium is 200times larger than Rhinovirus
Step-by-step explanation:
Length of a single Rhinovirus is 2×10^-8m
Length of E coli bacterium is 2×10^-6m
This shows that E coli is larger than Rhinovirus.
To determine the number of times the E. coli bacterium is larger than a Rhinovirus, we will divide the length of E coli bacterium by that of single Rhinovirus to have:
2×10^-6/2×10^-8
= 2×10^(-6-(-8))
= 2×10^-6+8
= 2×10²
= 200
This shows that E coli bacterium is 200times larger than Rhinovirus
A man can make 12 birdhouses in eight hours how many hours will it take to make 30
To find out how long it will take to make 30 birdhouses, first find the man's rate of work (1.5 birdhouses per hour) by dividing the total number of birdhouses he can make in eight hours (12) by the time (8 hours). Then divide the total number of birdhouses needed (30) by the rate to find the total time needed
Explanation:The question is asking how long it will take a man to make 30 birdhouses if he can make 12 birdhouses in eight hours. This is a classic rate problem in mathematics that can be solved by setting up a ratio. The first step is to find the rate of work that the man can perform. If the man can make 12 birdhouses in eight hours, then the man can make 1.5 birdhouses in one hour (12 birdhouses ÷ 8 hours).
Next, we want to find out how many hours it will take to make 30 birdhouses. Since his rate is 1.5 birdhouses per hour, we can divide the total number of birdhouses needed (30) by the rate (1.5 birdhouses per hour), which yields 20 hours.
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x = 20 hours.
To find out how many hours it will take to make 30 birdhouses, we can set up a proportion using the given information:
12 birdhouses / 8 hours = 30 birdhouses / x hours
Cross multiplying gives us: 12 × x = 30 × 8
Therefore, x = 20 hours.
What is the greatest common factor of 42 and 84
I believe the answer is 42.
A factor for both 42, and 84 is 42 so that would be the greatest number
The greatest common factor of 42 and 84 is 42.
What is the greatest common factor of 42 and 84?A factor refers to a number or an algebraic expression that divides another number or expression evenly, that is, with no remainder.
42 = 1, 2, 3, 6, 7, 14, 21 and 42.
84 = 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, and 84.
Hence, the greatest common factor of 42 and 84 is 42
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Can someone help me with this?
Answer:
E. 0.6
C -1/10
A -4/5
B -0.5
F 9/10
D 1/5
Step-by-step explanation:
Shannon has 3 dogs. she buy a 40-pound bag of dog food. if Shannon splits the food evenly among the dog, how much dog food will each dog receive?
Answer:
C
Step-by-step explanation:
Answer:
Each dog will receive 13 1/3 pounds (Answer C)
Step-by-step explanation:
To find the answer you have to divide the 40 pounds evenly between 3 dogs so the equation is x=40 pounds /3 dogs, which simplifies to 13 and 1/3 pounds which is answer C.
Hope This Helps. :)
Which statement BEST explains the relationship among these three facts?
Answer:
The chocolate drink became popular in Europe, because sugar made it taste better.
Hope this helps! :)
Answer:
The chocolate drink became popular in Europe because sugar made it taste better.Step-by-step explanation:
According to the problem, we have the following premises:
Natural chocolate taste bitter.The Spanish began adding sugar to chocolate water.Chocolate houses appeared throughout Europe.From this premises, we can deduct that once The Spanish added sugar to the chocolate, it became popular and Chocolate houses appeared to sell this product. But, only after adding sugar, because before it, people don't like it, because natural chocolate doesn't taste good.
Therefore, the right conclusion among the options would be:
The chocolate drink became popular in Europe because sugar made it taste better.
Logan bought 30 pounds of ground beef. He then cooks 12 pounds of it it for supper. The next day he cooks 17 pounds of the meat for lunch. How many pounds of ground beef does Logan has?
Answer:
1
Step-by-step explanation:
Logan bought 30 pounds of ground beef so then he cooks 12 pounds so 30-12=18
the next day he cooks 17 pounds of meat for lunch so 18-17=1
pls mark as brainliest
After cooking the beef for supper and lunch, Logan has 1 pound of
ground beef remaining.
Initial Amount: Logan bought a total of 30 pounds of ground beef.
Cooking for Supper: He cooked 12 pounds for supper.
To find out how much he has after this meal, we subtract the weight of
the cooked beef from the initial amount
[tex]30 \text{ pounds} - 12 \text{ pounds} = 18 \text{ pounds}[/tex]
Cooking for Lunch: The next day, he cooked 17 pounds for lunch.
We need to subtract this amount from the remaining beef:
[tex]18 \text{ pounds} - 17 \text{ pounds} = 1 \text{ pound}[/tex]
A box is 4 inches wide, 5 inches long and 3 inches tall what equation could be used to find the surface
The equation for surface area of a box is
[tex]a = 2(wl + hl + hw)[/tex]
So if we substitute the measurements into the equation we get
[tex]a = 2(4 \times 5 + 3 \times 5 + 3 \times 4)[/tex]
and with some calculations, that would equal
[tex]a = 2(20 + 15 + 12)[/tex]
[tex]a = 2(47)[/tex]
[tex]a = 94[/tex]
The total area for the box is 94 inches². Hope this helps!