Which linear function has the greatest y-intercept? y = 6 x + 1 On a coordinate plane, a line goes through points (0, 2) and (5, 0). On a coordinate plane, a line goes through points (1, 2) and (0, negative 3). y = 3 x + 4 Mark this and return
Answers
The linear function with the greatest y-intercept on a coordinate plane is y = 3x+4
What is an intercept?An intercept is a point on the y-axis, through which the slope of the line passes. It is the y-coordinate of a point where a straight line or a curve intersects the y-axis. This is represented when we write the equation for a line, y = mx+c, where m is slope and c is the y-intercept.
if y = mx + c it means c is the y intercept
compare the equations
for y = 6x+ 1, c = 1 so the y-intercept is 1
for the line that passes through (0,2) and (5,0) the y -intercept is actually the value of y when x is 0 which is 2
for the line that passes though (1,2) (0,-3) the y-intercept is -3
for y = 3x + 4, the y-intercept is 4.
So the function with the greatest y-intercept is y = 3x + 4
In conclusion y = 3x + 4 is the function with the greatest y-intercept.
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Related Questions
If a = 21 ft, b = 28 ft, and c = 35 ft, what is the total area of the porch? assume that the wooden part is a right triangle and the concrete part is a square.
Answers
The total area of the porch is 329 square feet.
To find the overall area of the porch, we want to calculate the areas of the timber and urban elements one after the other and then add them up. The timber a part of the porch is a right triangle with legs a = 21 ft and b = 28 ft. The region of a triangle is given through the system:
area of triangle = 1/2 × base × height
in this situation, the base and top are the lengths of the legs a and b, respectively. Substituting the values, we get:
area of timber part = 1/2 × 21 ft × 28 feet = 294 ft²
the concrete part of the porch is a square with an aspect length of c = 35 ft. The area of a square is given by using the formula:
area of square = side length²
substituting the value of c, we get:
area of concrete part = 35 ft²
now, we will find the whole area of the porch by using including the regions of the wood and concrete parts:
total area of porch = Area of wooden part + area of concrete element
= 294 ft² + 35 ft²
= 329 ft²
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Angles ABC and DBE are vertical angles. If m
A. 180°
B. 38°
C. 52°
D. 128°
Answers
Sam is training for a 5
km run. While training he runs for 6
minutes, then rests for 2
minutes, runs for 6
minutes, rests for 2
minutes, etc., until he finishes the 5
km. It takes him 26
minutes in total (with the rest periods) to finish the 5
km rum. If Sam runs at a constant speed (when he is not resting), what is this speed in kilometers per hour? (Recall there are 60
minutes in 1
hour.)
Answers
Answer:
15 km/h
Step-by-step explanation:
How many intervals of running and resting are needed to run and rest for 26 minutes?
Running is in parentheses, resting is not.
Each time he runs (6 minutes) and rests (2 minutes), he takes 8 minutes.
Three times this cycle is 24 minutes. He needs 2 more minutes of running to have a total of 26 minutes.
(6) + 2 + (6) + 2 + (6) + 2 + (2)
Add all the numbers in parentheses which are the times of running.
6 + 6 + 6 + 2 = 20
He ran for 20 minutes and rested for 6 minutes.
He ran 5 km in 20 minutes (of running).
speed = distance/time
speed = [5 km / (20 minutes)] × (60 minutes)/(1 hour)
speed = 15 km/h
Answer: 15 km/h
Which of these is an example of the Commutative property of addition? And Explain why? 3+5=4+4 or 3+5=5+3
Answers
Answer:
3+5=5+3
Step-by-step explanation:
a+b=b+a
comunitive property
Answer:
3+5 = 5+3
Step-by-step explanation:
Communative Property states that the numbers on which we operate (the numbers you use to do addition and multiplication) can be moved or swapped from their position without making any difference to the answer. In your awnser it dosen't matter if you were to swich around the 5 and 3. You would still get the same awnser.
Please help quick I need it
Answers
The area of the composite figure is 122.24 units².
How to find the area of a composite figure?The composite figure consist of a rectangle and two semi circles. Therefore, the area of the composite figure is the sum of the area of the individua shapes.
Hence,
area of the composite figure = area of the rectangle + 2(area of semi circle)
Therefore,
area of the composite figure = 9 × 8 + 2(1 / 2 πr²)
area of the composite figure = 72 + πr²
where
r = 8 / 2 = 4 units
Therefore,
area of the composite figure = 72 + 3.14 × 4²
area of the composite figure = 72 + 3.14 × 16
area of the composite figure = 72 + 50.24
area of the composite figure = 122.24 units²
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a rectangular metal has a length of 13 inches and a width of 6 inches. A 45-45-90 triangle is cute from each corner. The hypotenuse of each triangle is 2 inches. What expression can solve for the area of the shaded portion in square in.
Answers
ANSWER
The area of the shaded portion is 104 in²
EXPLANATION
The total area of the metal is:
\(A_{metal}=18\times6=108in\)To find the area of the shaded portion we have to subtract the areas of the triangles.
Each triangle is a right isosceles triangle - because there are two angles with the same measure, 45º - so we can say that the base and the height of the triangles are the same:
\(b=h\)The area of one triangle is:
\(A_{\text{triangle}}=\frac{b\times h}{2}=\frac{b\times b}{2}=\frac{b^2}{2}\)By the pythagorean theorem, the base of each triangle is:
\(\begin{gathered} 2^2=b^2+h^2 \\ 2^2=b^2+b^2^{} \\ 4=2b^2 \\ b^2=\frac{4}{2} \\ b^2=2 \end{gathered}\)Replacing into the expression for the area of one
What is the first stepin solving the quadratic equations x2-40=0
Answers
Answer:
+40 to both sides of the = sign.
Step-by-step explanation:
x2-40=0
+40=+40
x2=40
/2=/2
x=20
i need the answer it on edge
Answers
Answer: 3x^3+2x+5
Step-by-step explanation:
I attached my written work but put simply take the value of x which in this case is -2 because x+2 also means x= -2. Then line up the coefficients next to -2 which should be in a box. So the coefficients 3, 6, 2, 9, and 10. Drop the first coefficient down which is 3 and multiply it by your x value. so the combo is multiply, add, drop. starting with 3 drop it down then multiply it by -2 to get -6. Then add -6 to the second coefficient which is 6 to get 0 so drop zero down. Then again multiply 0 by -2 to get 0 then add zero to 2 to get 2 then drop down 2. So continue till the end remmebr the only multiplication you are doing is against the x value which in this case is -2. at the end you should have 5 numbers left. Here we end with 3, 0, 2, 5, 0. So we want a zero as the last number which means we have no remainder. If the last number is not zero do not PANIC. just kidding but seriously though relax. Put the number over your expression x+2 so for example if the last number was 5 instead of zero DONT PANIC just finish your answer with 5/x+2. SO back to the 3, 0, 2, 5, 0. We add the corresponding x's to these numbers so \(3x^{3}+0x^{2} +2x+5\) which also equals \(3x^3+2x+5\)
what are the answers of 3 equivalent ratios of 24:12
Answers
Answer:
2:1
6:3
8:4
Step-by-step explanation:
24 divided by 12 is 2, so equivalent ratio should also be 2
2 divided by 1 is 2
6 divided by 3 is 2
8 divided by 4 is 2
The subtraction problem 4/5 - 2/7 can be rewritten as the addition problem _[blank].
Enter your answer as the expression that correctly fills in the blank.
Enter fractions formatted like this: 3/14
Answers
It can be written as 13/35.
how do we rewrite a fraction.
Divide the numerator by the denominator
Write down the whole number result
Use the remainder as the new numerator over the denominator. This is the fraction part of the mixed number.
A number that will divide evenly into both the numerator and denominator so it can be reduced, or
The numerator must be greater than the denominator, (an improper fraction), so it can be converted to a mixed number
4/5-3/7
⇒4×7-3×5/ 35 ( 5 and 7 have no common divisor).
⇒ 28- 15/35
⇒13/35
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Need to solve some questions can you Help me?
2nd Question
6 ÷ 2 ( 1 + 2 ) = ?
Answers
Answer:
Step-by-step explanation:
\(6/2 ( 1 + 2 ) = 3(3) = 9\)
What is the percent of decrease from 80 to 68?
Answers
Answer:
-15%.
Step-by-step explanation:
Subtract 68 by 80 to get -12.
Divide -12 by the absolute value of 80 to get -0.15.
Multiply 100 to -0.15 to get -15.
Suppose that ƒ is a function given as f(x) = 4x² + 5x + 3.
Simplify the expression f(x + h).
f(x + h)
Simplify the difference quotient,
ƒ(x + h) − ƒ(x)
h
=
Submit Question
The derivative of the function at x is the limit of the difference quotient as h approaches zero.
f(x+h)-f(x)
f'(x) =lim
h→0
h
ƒ(x + h) − f(x)
h
=
Answers
Answer:
f(x +h) = 4x² +4h² +8xh +5x +5h +3
(f(x+h) -f(x))/h = 4h +8x +5
f'(x) = 8x +5
Step-by-step explanation:
For f(x) = 4x² +5x +3, you want the simplified expression f(x+h), the difference quotient (f(x+h) -f(x))/h, and the value of that at h=0.
F(x+h)Put (x+h) where h is in the function, and simplify:
f(x+h) = 4(x+h)² +5(x+h) +3
= 4(x² +2xh +h²) +5x +5h +3
f(x +h) = 4x² +4h² +8xh +5x +5h +3
Difference quotientThe difference quotient is ...
(f(x+h) -f(x))/h = ((4x² +4h² +8xh +5x +5h +3) - (4x² +5x +3))/h
= (4h² +8xh +5h)/h
(f(x+h) -f(x))/h = 4h +8x +5
LimitWhen h=0, the value of this is ...
f'(x) = 4·0 +8x +5
f'(x) = 8x +5
__
Additional comment
Technically, the difference quotient is undefined at h=0, because h is in the denominator, and we cannot divide by 0. The limit as h→0 will be the value of the simplified rational expression that has h canceled from every term of the difference. This will always be the case for difference quotients for polynomial functions.
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what is the integer in the right side of -5
Answers
Step-by-step explanation:
-4 may be the corect answer
Jon paid $40 for a shirt, but later that week the
price had been raised by 15%...how much did
the shirt go up?
Please give a walk through ty
Answers
Answer:
15% of 40 is 6
9514 1404 393
Answer:
$6
Step-by-step explanation:
15% is the ratio of the price increase to the original price.
As a fraction 15% = 15/100 (fifteen hundredths).
As a decimal, 15% = 0.15 (fifteen hundredths).
__
The statement about the price increase is telling you ...
(increase)/(original) = 0.15
Multiplying by the original price, we get ...
(increase) = 0.15×(original) = 0.15 × $40 = $6.00
The price of the shirt went up $6.00.
Suppose that a study of elementary school students reports that the mean age at which children begin reading is 5.4 years with a standard deviation of 0.8 years.
Step 2 of 2: If a sampling distribution is created using samples of the ages at which 38 children begin reading, what would be the standard deviation of the sampling distribution of sample means? Round to two decimal places, if necessary.
Answers
Answer:
Step-by-step explanation:
The standard deviation of the sampling distribution of sample means is given by the formula:
standard deviation = population standard deviation / sqrt(sample size)
Here, the population standard deviation is 0.8 years, and the sample size is 38. Substituting these values into the formula, we get:
standard deviation = 0.8 / sqrt(38)
standard deviation ≈ 0.13
Rounding to two decimal places, the standard deviation of the sampling distribution of sample means is approximately 0.13 years.
In 2015, the average distance from Earth to the moon was about 3.74 x 105 km. The distance from Earth to Mars was about 9.25 x 107 km. How much farther is traveling from Earth to Mars than from Earth to the moon? Write your answer in scientific notation.
Answers
Traveling from Earth to Mars is approximately 9.249626 x 10^7 km farther than traveling from Earth to the moon.
Earth to Mars is compared to traveling from Earth to the moon, we need to calculate the difference between the distances.
The distance from Earth to the moon is approximately 3.74 x 10^5 km.
The distance from Earth to Mars is approximately 9.25 x 10^7 km.
To find the difference, we subtract the distance to the moon from the distance to Mars:
9.25 x 10^7 km - 3.74 x 10^5 km
To subtract these numbers, we need to make sure the exponents are the same. We can rewrite the distance to the moon in scientific notation with the same exponent as the distance to Mars:
3.74 x 10^5 km = 0.374 x 10^6 km (since 0.374 = 3.74 x 10^5 / 10^6)
Now we can perform the subtraction:
9.25 x 10^7 km - 0.374 x 10^6 km = 9.25 x 10^7 km - 0.374 x 10^6 km
To subtract, we subtract the coefficients and keep the same exponent:
9.25 x 10^7 km - 0.374 x 10^6 km = 9.25 x 10^7 - 0.374 x 10^6 km
Simplifying the subtraction:
9.25 x 10^7 - 0.374 x 10^6 km = 9.249626 x 10^7 km
Therefore, traveling from Earth to Mars is approximately 9.249626 x 10^7 km farther than traveling from Earth to the moon.
Scientific notation is a convenient way to express very large or very small numbers. It consists of a coefficient (a number between 1 and 10) multiplied by a power of 10 (exponent). It allows us to write and manipulate such numbers in a compact and standardized form.
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An art class is making a mural for their school which has a triangle drawn in the middle. The length of the bottom of the triangle is x. Another side is 12 more than four times the length of the bottom of the triangle. The last side is 2 more than the bottom of the triangle. Write and simplify an expression for the perimeter of the triangle
Answers
Answer:
6x + 14
Step-by-step explanation:
Givens
P = s1 + s2 + s3
s1 = x
s2 = 4x + 12
s3 = x +2
Solution
P = x + 4x + 12 + x + 2
P = 6x + 14
Two figures are shown below.
Which of the following statements correctly explains whether or not the two figures are congruent?
The two figures are congruent since there is a reflection that carries one figure onto the other.
O The two figures are congruent since there is a rotation that carries one figure onto the other.
O The two figures are not congruent since the two figures are oriented differently.
O The two figures are not congruent since there is no translation that carries one figure onto the other.
Answers
Answer: B
Step-by-step explanation:
The 2 figures given would be congruent since there seems to be a reflection that carries 1 figure onto the another one. A further explanation is below.
If somehow the matching sides of two components or figures have been of similar length and form, they are said to be congruent. They constitute congruent when one image or graphic entirely encompasses some other figure (both with and without rotations skills).Whenever we turn or twist the above diagram clockwise by something like 90° ∠, it becomes exactly like the ones below.
Thus the answer above i.e., "Option 1" is appropriate.
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Which situation can be modeled by a linear function? A) The cost of living in the city doubles every 10 years. B )The employees at a local hardware store earn a $2-per-hour wage increase every year they work for the store. C) Each bacteria in the petri dish divides in half every five seconds. D) A rumor spreads when you tell 5 of your friends, who each tell 5 more of their friends, and each of those friends tell 5 more of their friends, etc.
Answers
The condition for linear functions is that we have a constant rate of change of y versus x.
A) In this case, the rate of variation is exponential and not constant, so it is not linear.
B) In this case we can model the wage increase y versus the years of work x as a linear function, as y is proportional to x. Then, the rate of change of y versus x is constant (is equal to 2 $/year).
For example, with x=0 years working, it corresponds a y=0 wage increase.
When x=1, it corresponds a y=2 wage increase.
When x=2, it corresponds a y=4 wage increase.
When x=n, it correspond a y=2n wage increase.
Then, the function that relates wage increase and years working is y=2x, that is a linear function.
C) The same as case A, where the rate of variation is not constant but exponential.
D) This case is also exponential and the rate of variation is not constant.
Answer: Option B.
which trigonometric functions are equivalent to tan θ
Answers
Answer:
i think its -tan(-0) I'm not sure sorry if you get it wrong
2 (x+8) + 3x and 5x+16 What is the value of the expression if x=0?
Answers
Answer:
66
Step-by-step explanation:
2(x+8) + 3x
2x + 16 + 3x
5x + 16
5(10) + 16
50 + 16
66
5x + 16
5(10) + 16
50 + 16
66
The side of a triangle are in the ratio 4:4:3 what kind of triangle is it (b) calculate the smallest angle of the triangle to the nearest degree
Answers
The smallest angle of the equilateral triangle is 60 degrees
If the sides of a triangle are in the ratio 4:4:3, it implies that the lengths of the sides are proportional.
To determine the type of triangle, we examine the side lengths. Since all three sides are equal in length, we have an equilateral triangle.
For an equilateral triangle, all angles are equal. To calculate the smallest angle, we divide the total sum of angles in a triangle (180 degrees) by the number of angles, which is 3:
Smallest angle \(= \frac{180}{3} = 60\)\) degrees.
Therefore, the smallest angle of the equilateral triangle is 60 degrees (to the nearest degree).
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Write the expression that represents the area of the rectangle shown.
Answers
Answer:
A = Length × breath
A = 3 × 7
A = a × 4
A = m × m
multiply: (2.2x10^4) • (7.1x10^3)
write your answer in scientific notation.
Answers
Answer:
Step-by-step explanation:
(2.2×10^4)*(7.1×10³)
=(2.2×7.1)×10{4+3}
=15.62×10^7
=1.562×10^8
The point P=(1/2,y)lies on the unit circle shown below. What is the value of y in simplest form?
Answers
The value of y in simplest form for the point P = (1/2, y) lying on the unit circle is y = ± √(3)/2.
To find the value of y in simplest form for the point P = (1/2, y) lying on the unit circle, we can use the equation of the unit circle, which states that for any point (x, y) on the unit circle, the following equation holds: x^2 + y^2 = 1.
Plugging in the coordinates of the point P = (1/2, y), we get:
(1/2)^2 + y^2 = 1
1/4 + y^2 = 1
y^2 = 1 - 1/4
y^2 = 3/4.
To simplify y^2 = 3/4, we take the square root of both sides:y = ± √(3/4).
Now, we need to simplify √(3/4). Since 3 and 4 share a common factor of 1, we can simplify further: y = ± √(3/4) = ± √(3)/√(4) = ± √(3)/2.
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Write an equation of a line that has an x-intercept of -2 and a y-intercept of 6.
Answers
Answer:
y=6x+4.
Step-by-step explanation:
y=mx+b
m=6. b=4.
Suppose findmin is an algorithm that finds the minimum of a set and has a worst-case time complexity of Oxn). The function prepend takes a set and adds a new element in the first position. The given algorithm sorts a list in ascending order.
Answers
The worst case complexity for the algorithm is O(n²)
In the worst case, every time we call the function findmin(list)
where list of length n, it will take O(n) operations.
For simplicity we can assume it will take n operations.
Since in each call , list decreases in one element until it is finally empty.
the number of operations in the while loop is:
n(n-1)+(n-2)+....2+1 = n(n+1)/2= (n²+n)/2
Therefore the worst case complexity for the algorithm is O(n²).
Thus, time complexity is the number of activities a calculation performs to get done with its responsibility (taking into account that every activity requires some investment). The calculation that plays out the undertaking in the most modest number of activities is viewed as the most effective one regarding the time complexity.
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What are the x-intercepts of the graph below ?
Answers
Answer:
(3, 0)(-2, 0)Step-by-step explanation:
You want to identify the x-intercepts on the graph.
X-interceptAn "x-intercept" is a point where the graph crosses or touches (intercepts) the x-axis. The y-value there is always 0.
The given graph crosses the x-axis where x = -2 and x = 3. This means the x-intercept points are ...
(-2, 0) and (3, 0)
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One brand of cola co fizz is sold in packs of 4*500ml for 2.50 another brand colo is sold in packs of 10 330mlfo $2 which brand is more expensive
Answers
Based on the given information, the second brand, Cola, is the more affordable option in terms of cost per milliliter compared to Co Fizz.
To determine which brand of cola is more expensive, we need to compare the cost per unit volume for each brand.
For the first brand, Co Fizz, a pack contains 4 bottles, and each bottle has a volume of 500 ml. The cost of the pack is $2.50. Therefore, the total volume in a pack is 4 * 500 ml = 2000 ml. To find the cost per milliliter (ml), we divide the total cost by the total volume: $2.50 / 2000 ml = $0.00125 per ml.
For the second brand, Cola, a pack contains 10 bottles, and each bottle has a volume of 330 ml. The cost of the pack is $2. Therefore, the total volume in a pack is 10 * 330 ml = 3300 ml. To find the cost per milliliter (ml), we divide the total cost by the total volume: $2 / 3300 ml ≈ $0.000606 per ml.
Comparing the two brands, we can see that the cost per milliliter for Co Fizz is $0.00125, while the cost per milliliter for Cola is approximately $0.000606.
Since the cost per milliliter for Co Fizz is higher than the cost per milliliter for Cola, it can be concluded that Co Fizz is more expensive in terms of price per unit volume.
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