Answer:
It is a vertical line at x = 0
Step-by-step explanation:
An equation of a line in a slope-intercept form is y=mx+b
So with the coordinates given, we must find the slope (m), and the y-intercept (b).
In order to find the slope using these coordinates,
we have to use the formula (y2-y1)/(x2-x2).
So the slope would be -3 - 4 / 0.
Because the denominator is 0, the slope would be undefined.
It is easier to see the equation/graph by graphing the coordinates on the coordinate plane. You will see that it is a straight vertical line down x=0.
Hello there! :)
We can use the formula:
[tex]\frac{y2-y1}{x2-x1} \\[/tex]
First, let's take a look at the x-coordinates. They are the same, aren't they?
If the x-coordinates are the same, then the slope is undefined.
Put the x-coordinates into the formula. It turns out that we divide by 0, and division by 0 is undefined.
Hope this helps!
~Just a cheerful gal
#CarryOnLearning
[tex]SilentNature[/tex]
The table represents the ratio of tulips todaffodils in a garden how many tulips will there be if the garden has 60 daffodils
There would be 85 Tulips in the garden if the garden has 60 daffodils
Two variables are said to be proportional if an increase in one variable leads to an increase in another variable and vice versa.
From the table, 12 daffodils corresponds with 17 Tulips.
Hence the ratio of tulips to daffodils = 17 tulips / 12 daffodils
Therefore for 60 daffodils:
Number of Tulips = (17 tulips / 12 daffodils) * 60 daffodils
Number of Tulips = 85 Tulips
There would be 85 Tulips in the garden if the garden has 60 daffodils
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Simplify the following:
HELP!
A group of activists wants to raise money for a good cause, so they decide to sponsor a bicycle race. It receives $60 per cyclist entry and $15,000 in donations, but it must spend $18 per entry to cover the cost of the race.
Write and solve an inequality to determine the number of cyclists the group needs to raise at least $57,000.
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Answer:
60x +15000 ≥ 18x + 57000≥ 1000 cyclistsStep-by-step explanation:
We want ...
revenue ≥ cost + desired profit
60x +15000 ≥ 18x + 57000 . . . . . . an inequalty
42x ≥ 42000 . . . . . . . . . . . . . . . . subtract 18x+15000
x ≥ 1000 . . . . . . . . . . . . . . . . . . divide by 42
The group needs at least 1000 cyclists to raise at least $57,000.
Please help me, this is due in 2 hours and I need this done plz.
Answer:
It's probably it
Step-by-step explanation:
A = (-4, -2)
B = (1, 6)
Imagine a new point (C) where they intersect (1, -2)
Now we can form a triangle, the distance between A and B will be the hypotenuse.
h² = 5² + 8²
h² = 25 + 64
h² = 89
h = [tex]\sqrt{89}[/tex]
h = ~9.43...
h = 9
fay has a lemonade stand. She spends £25 on ingredients. She sells each glass of lemonade for £1.50. If she sells 40 glasses of lemonade, what is her total profit?
Please help as soon as possible :))
Answer:
x=45 y=60
Step-by-step explanation:
the picture is kinda blurry but if im seeing it correctly its ^^^
The percent of change from 200 to 220 and indicate if it is an increase or decrease.
Answer: Increase
Step-by-step explanation:
Circle A has a circumference of 25 centimeters.
Circle B's diameter is 3 times as long as circle A's
diameter.
What is the circumference of circle B?
The circumference of circle B would be; 74.98 cm.
What is the circumference of the circle?The circumference of the circle that has a radius of r is defined as the product of diameter to the pie value.
The circumference of the circle = 2πr
We have been given that Circle A has a circumference of 25 centimeters.
And Circle B's diameter is 3 times as long as circle A's diameter.
Thus, the Diameter of Circle B = 3 x the Diameter of Circle A
Since The circumference of the circle A = 2πr = 25
2πr = 25
r = 25/ 2π
r = 3.98 cm
The Diameter of Circle A = 2 x 3.98 = 7.96 cm
Since Diameter of Circle B = 3 x the Diameter of Circle A
Diameter of Circle B = 3 x 7.96 cm
= 23.88 cm
Radius = 23.88 / 2
Hence, the circumference of circle B = 2πr
= 2 x 22/7 x 23.88 / 2
= 74.98 cm
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Can you please help me with#7?I don't know how to find the answer.
Part A
The equation is g = -2.5m + 20
The +20 represents us starting with 20 gallons. The -2.5m portion indicates losing 2.5 gallons per minute. So after m minutes, we'll have -2.5m+20 gallons left.
The smallest m can be is m = 0
Let's plug in g = 0 and solve for m to find the largest possible m value
g = -2.5m + 20
-2.5m + 20 = g
-2.5m + 20 = 0
-2.5m = -20
m = (-20)/(-2.5)
m = 8
At the 8 minute mark is when g = 0. So this is when the tub is completely empty. We cannot go beyond this point because g would become negative. So m = 8 is the largest m can get.
This means m is between 0 and 8, including both endpoints.
The domain is [tex]0 \le m \le 8[/tex]
The domain is continuous because the number of minutes is continuous. We cannot have a jump in time from something like m = 1 to m = 2 without values in between. In other words, to go from m = 1 to m = 2, we need to pass by something like m = 1.5
No matter what two values you pick in the interval mentioned, there is always going to be some midpoint and infinitely many other values to deal with.
-------------------------
Answers:
Domain: [tex]0 \le m \le 8[/tex]The domain is continuous======================================================
Part C
See the graph below. The table is included as well.
To generate the table, we select values of m from the domain found earlier. I'm using whole numbers for m, but you can use any real number you want from that interval.
Let's say we picked m = 2
That would mean,
g = -2.5m + 20
g = -2.5*2 + 20
g = -5 + 20
g = 15
So at the 2 minute mark, the tub will have 15 gallons left. That means we'll have a row with m = 2 and g = 15 pair up together. The rest of the table is generated in a similar fashion.
Once the table is set up, you plot all of the points and draw a line through them to complete the graph.
Because we're dealing with a linear function, we only need 2 points at minimum to graph it. However, you can generate as many points as you want. It could be good practice.
Side note: Stuff to the left of m = 0 and stuff to the right of m = 8 is not graphed, as these portions are not in the domain.
Bag A contains 3 red balls and 1 blue ball. Bag B contains 1 red ball and 1 blue ball. You perform the following experiment. First, randomly pick one ball from each bag. Next, place the ball from bag A into bag B and the ball from bag B into bag A. What is the expected number (or mean) of red balls in the bag A
Answer:
2
Step-by-step explanation:
because the tree you must have more red balls than blue
What is the value of b?
b
B+42
B-20
Answer:
b=22°
Step-by-step explanation:
because b+42=b+b-20
b+42=2b-20
b-2b=-20-42
-b=-22
b=22°
The perimeter of a rectangle is equal to 54 units. The length of the rectangle is 2k units, and the width of the rectangle is k units
Which expression represents the perimeter, and what is the width of the rectangle?
The expression to represents the perimeter is,
54 = 2 (2k + k)
And, The width of the rectangle is, 9 units.
What is mean by Rectangle?A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.
Given that;
The perimeter of a rectangle is equal to 54 units.
And, The length of the rectangle is 2k units, and the width of the rectangle is k units.
Now, We know that;
Perimeter of rectangle = 2 (Length + Width)
Substitute the given values, we get;
Perimeter of rectangle = 2 (Length + Width)
54 = 2 (2k + k)
54 = 2 × 3k
54 = 6k
54/6 = k
k = 9
Hence, The width of the rectangle is, 9 units.
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Explain why rational numbers are "friendly."
Answer:
What makes a number friendly?
In number theory, friendly numbers are two or more natural numbers with a common abundancy index, the ratio between the sum of divisors of a number and the number itself. Two numbers with the same "abundancy" form a friendly pair; n numbers with the same "abundancy" form a friendly n-tuple.
Step-by-step explanation:
How to figure out the equation for this graph?
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Answer:
y = x² -6
Step-by-step explanation:
It helps to remember what the coordinates of a point on a graph mean.
(x, y) ⇒ the point is x units right of the y-axis, and y units up from the x-axis
If we subtract 6 from the y-value, the point will move down on the graph by 6 units.
__
The red graph is shifted down 6 units from the original black graph. Every (original) y-value has 6 subtracted from it. The original points are described by ...
(x, y) = (x, x²)
When we subtract 6 from the y-value, the points become ...
(x, x² -6)
That is, the new (shifted) value of y is ...
y = x² -6
3
Abox of cereal states that there are 84 calories in a
4
-cup serving. What is the unit rate for calories
per cup? How many calories are there in 4 cups of the cereal?
Answer:
21 calories per cup
Step-by-step explanation:
4cups↔84calories
1cup ↔less
1/4x84=21calories
please can someone answer all these
Answer:
what is it what math
Step-by-step explanation:
um what kind of math is this high school primary school
Mrs. Jackson had 493 canned goods that she collected for the annual canned food drive. She put all the cans in 7 equal piles. About how many cans are in each pile?
Answer:
about 70 cans
Step-by-step explanation:
493÷7=70.42
How many groups of 2/3 are in 3/5
To find the answer, we will need to divide 3/5 by 2/3.
3/5 / 2/3
3/5 x 3/2
9 / 10
There are 9/10 groups of 2/3 in 3/5.
Hope this helps!! :)
what are possible values for a and b in the equation 4^a/4^b=4^-1
Answer: 11
Step-by-step explanation:The given expression is:
=
=
=
Substituting the value of b=-2 in above expression, we get
=
=
=
Thus, the value of the given expression is -11.
i = $141.60; P = $590; t = 6
years find the rate
Answer:
888888
Step-by-step explanation:
This density curve represents the amount of time students spend waiting for their morning bus to school.
if the median of the density curve is 1.5, which value could be the mean of the density curve?
(B) - μ = 2.5
(the answer)
Answer:
B
Step-by-step explanation:
e2020
9 is the cube root of (a) 343 (b) 729 (c) 629 (d) 81
Answer:
(b) 729
Step-by-step explanation:
9 × 9 × 9 = 9^3 = 729
Thus, 9 is the cube root of 729
1/12 * n^3 =
how do you multiply these together
Answer:
(n^3)/12
Step-by-step explanation:
1/12 * n^3
= (n^3)/12
Answer:
[tex]\sqrt[3]{\frac{1}{12} }[/tex] * n
Step-by-step explanation:
You want to get the n alone. In order to do that, you need to get rid of the 3rd power. The opposite of a power is a radical. So do:
[tex]\sqrt[3]{\frac{1}{12} }[/tex] * [tex]\sqrt[3]{n^3}[/tex]
This cancels out the n and turns the problem into:
[tex]\sqrt[3]{\frac{1}{12} }[/tex] * [tex]n[/tex]
I can't solve for n since I haven't been given the entire problem (what they're equal to), but you can solve for [tex]\sqrt[3]{\frac{1}{12} }[/tex].
Consider the equation as shown:
(x-a)(y-b) = (x-2a)(y- b/2)
x(x + 1/2b) + y(y + a/2) -2xy = 5+(x-y)²
On comparing the coefficient, a student says these pairs of equations is consistent. Is he/she correct? Which of these explains why?
(a) Yes; because they are parallel lines.
(b) No; because they are interesting lines.
(c) Yes; because they are parallel lines.
(d) No; because they are interesting lines.
[tex]\large\underline{\sf{Solution-}}[/tex]
First equation is
[tex]\rm \longmapsto\:(x - a)(y - b) = (x - 2a)\bigg(y -\dfrac{b}{2}\bigg) [/tex]
can be further simplified to
[tex]\rm \longmapsto\:xy - bx - ay + ab = xy - \dfrac{bx}{2} - 2ay + ab[/tex]
[tex]\rm \longmapsto\: - bx - ay = - \dfrac{bx}{2} - 2ay [/tex]
[tex]\rm \longmapsto\: - bx + \dfrac{bx}{2} = - 2ay + ay[/tex]
[tex]\rm \longmapsto\: - \dfrac{bx}{2} = - ay[/tex]
[tex]\rm \longmapsto\: \dfrac{bx}{2} = ay[/tex]
[tex]\rm \longmapsto\:bx = 2ay[/tex]
[tex]\rm:\longmapsto \:\boxed{\tt{ bx - 2ay = 0}} - - - - (1)[/tex]
Second equation is
[tex]\rm \longmapsto\:x\bigg(x + \dfrac{1}{2b} \bigg) + y \bigg(y + \dfrac{a}{2}\bigg) - 2xy = 5 + {(x - y)}^{2} [/tex]
[tex]\rm \longmapsto\: {x}^{2} + \dfrac{x}{2b} + {y}^{2} + \dfrac{ay}{2} - 2xy = 5 + {x}^{2} + {y}^{2} - 2xy[/tex]
[tex]\rm \longmapsto\: \dfrac{x}{2b} + \dfrac{ay}{2} = 5[/tex]
[tex]\rm \longmapsto\: \dfrac{x + aby}{2b} = 5[/tex]
[tex]\rm :\longmapsto\:\boxed{\tt{ x + aby = 10b}} - - - (2)[/tex]
So, we have two equations in simplest form as
[tex]\rm \longmapsto\:bx - 2ay = 0 [/tex]
and
[tex]\rm \longmapsto\:x + aby = 10b[/tex]
Now, Consider
[tex]\rm \longmapsto\:\dfrac{a_1}{a_2} = \dfrac{b}{1} = b[/tex]
[tex]\rm \longmapsto\:\dfrac{b_1}{b_2} = \dfrac{ - 2a}{ab} = - \dfrac{2}{b} [/tex]
[tex]\bf\implies \:\dfrac{a_1}{a_2} \: \ne \: \dfrac{b_1}{b_2} [/tex]
This implies, System of equations is consistent having unique solution.
So, The student is correct as lines are intersecting.
So, option (b) is correct.
The prices of a 32-ounce
container of yogurt at three different grocery stores are
$4.49, $3.99, and $4.29, respectively. Find the average
price for the container of yogurt.
Answer:
9.77 i think
Step-by-step explanation:
add up all prices then subtract by three i think
Answer:
93 is the correct answer
Please help thank you
sorry i dk
.................................
Jenna buys an item with a normal price of $70, and uses a 40% off coupon.
Answer:
Jenna paid $42.00
Step-by-step explanation:
$70-40%=28.00
70-28=42
MATH REAL ANSWER PLS DONT ANSWER THEN DELETE (BENNY whatever ur 500 accounts are i’m filing a police report if you answer this so choose wisely) ANYWAY PLS HELP ASAP.
Answer:
Step-by-step explanation:
0 = (x + 1)(x + 1)
Therefore
x + 1 = 0
x = -1 (twice)
(-1, 0), (-1, 0)
A living room is a compound shape made of two rectangles like the one
below. How many square feet of carpet would you need to cover the entire room?
Answer:
Step-by-step explanation:
702
what is the cost of insurance for a female at 50 as a percentage of the same insurance for a male in his 30s female cost $819.73 the male's rate would be $1,192.64?
