A little mermaid can't swim 12 miles downstream in the same amount of time she can swim 8 miles upstream. The little mermaid speed's in still water is: 4/5 mile per hour.
The distance of the miles can be estimated by using the formula:
distance = speed rate × time
∴
[tex]\mathbf{time = \dfrac{distance}{ rate}}[/tex]
Let the current speed be = x
In the upstream direction;
the rate = swim speed - the current speed = 4 - xin the downstream direction;
the rate = 4 + x∴
[tex]\mathbf{t = \dfrac{8}{4 -x}= \dfrac{12}{4+x}}[/tex]
By cross multiply;
8 (4 + x) = 12 (4 - x)
32 + 8x = 48 - 12x
8x + 12x = 48 - 32
20x = 16
x = 16/20
x = 4/5 mile per hour
Therefore, we can conclude that the little mermaid speed's in still water is 4/5 miles per hour.
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One yard company charges $10x + $50 a month to mow and edge a lawn. A second company charges $8x + $60 a month to mow and edge a lawn. Each lawn company also offers additional services for an extra fee.
Let x represent the number of additional services.
Mr. Mead is comparing the two companies. How many additional services are needed for the two companies to be the same price?
I’m too lazy to do it
Answer: x=5
Step-by-step explanation:
NO LINKS PLEASE HURRY I REALLY NED HELP!!!
PLEASE HELP WITH MATH GRADIENTS I WILL GIVE BRAINLIEST.
Answer: 12
Step-by-step explanation: do not lie to me you better mark me a brainly or going to report you
URGENT, please!!
Use the given information to write an equation of each parabola:
The parabola has focus (0,6) and vertex at the origin.
The equation of the parabola is:
[tex]y = 24x^2[/tex]
---------------------------
The equation of a parabola of vertex (h,k) and focus (0,f) is given by:
[tex]y = 4p(x - h)^2 + k^2[/tex]
Vertex at the origin means that [tex]h = 0, k = 0[/tex].Focus (0,6) means that [tex]p = 6[/tex]Thus, the equation of the parabola is:
[tex]y = 4p(x - h)^2 + k^2[/tex]
[tex]y = 4(6)(x - 0)^2 + 0^2[/tex]
[tex]y = 24x^2[/tex]
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will mark as brainliest
Write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 1, and the given zeros of -1, 2, and -3i. Show all work.
Given ABCD, solve for x.
B
с
30.5x" (15+10
A
D
O A. 13
O B.9
O c. 11
O D. 7
Answer:
30.5x" (15+10
A
D
O A. 13
Step-by-step explanation:
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Answer:
someone is adding dont worrie
Step-by-step explanation:
Question 19 of 25
Does this graph show a function? Explain how you know.
O A. No; the graph fails the vertical line test.
OB. Yes, the graph passes the vertical line test.
O C. Yes, there are no y-values that have more than one x-value.
OD. No; there are y-values that have more than one x-value.
A graph may or may not represent a function.
The true statement is: (b) Yes, the graph passes the vertical line test.
The vertical line test is used to determine if a graph represents a function or not.
When a vertical line is drawn through the graph, the line would only intersect with the curve at a point.
This means that:
The graph represents a function.
Hence, option (b) is true
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Hey ! Can anyone help me with this question please ? Thank you
Answer:
x=10 since 8x+10 and 6x+30 are equal just equate
Suppose f(x) = x ^ 3 Find the graph of f(x + 3) Click on the correct answer
Answer:
f(x)=(x+3)^3, horizontal translation/shift of 3 units to the left.
Step-by-step explanation:
f(x)=x^3 is your given function. f(x+3) is a horizontal shift of 3 units to the left because the "+3" is inside the parentheses and it's a shift to the left instead of the right because x needs to equal -3 for the quantity to equal 0. Overall, the graph shifts 3 units to the left.
can anyone help ?
Fasttt
Answer:
- 3
Step-by-step explanation:
6 - 4x = 6x - 8x + 12
6 - 4x = - 2x + 12
6 - 12 = - 2x + 4x
- 6 = 2x
x = - 6 / 2
x = - 3
Answer:
+3
Step-by-step explanation:
we collect like terms to give us
-4x-6x+8x=12-6
-10x+8x=-6
-2x=-6
divide through by -2 to give us
-2x/-2=-6/-2
x=+3
note that when a negative sign divides another negative sign, it gives us a positive sign which in our case, could be ignored if chosen to
can someone help me with this quickly
If we imagine these points graphed on a coordinate plane, they will look like a parabola. Also, neither a linear or exponential function will have 2 of the same y-values. Therefore, the only option is a quadratic function.
Hope this helps!! :)
please help me with this sum
20 - 3 x 6 + 8 =
Answer:
10
Step-by-step explanation:
Use the PEMDAS rule.
20 - 3 * 6 + 8
= 20 - 18 + 8
= 20 - 10
= 10
When we carry out the operation 20 - 3 × 6 + 8 the result obrained is 10
What is BODMAS?The meaning of BODMAS is given below:
B => BracketO => Of D => DivisionM => MultiplicationA => AdditionS => SubtractionThe above pattern tells us exactly what sign to carry out 1st when we have more than one signs in an expression.
How to determine 20 - 3 × 6 + 820 - 3 × 6 + 8
Carry out multiplication
20 - 18 + 8
Carry out addition
20 - 10
Carry out subtraction
10
Thus,
20 - 3 × 6 + 8 = 10
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Which equation represents a line that is perpen-
dicular to y = 5x +2 and goes through the point
(-10, 3)?
Answer:
A
Step-by-step explanation:
If you substitute the values given in the question, i.e. (-10,3), the only equation that satisfies this solution is A.
Try substituting
x for (-10)
y for (3)
Please help with this due tommorow giving 70 points
Answer:
As follows,
Step-by-step explanation:
The picture isn't clear but i will try,
ax+b>d
a<0
Then,
1.x>(d-b)/a
xa>d-b
ax+b>d
Which is true, thus x>(d-b)/a is true.
2.x<(d-b)/a
ax<d-b
ax+b<d
Which is false, thus x<(d-b)/a is false.
3.x<d/a-b
x<(d-ab)/a
ax<d-ab
ax+ab<d
Which is not given, thus x<d/a-b is false.
4.x>d/a-b
x>(d-ab)/a
ax>d-ab
ax+ab>d
Which is not given, thus x>d/a-b is false.
The area of a rectangle is 53 5/6 square feet the length of the garden is 9 1/2 feet what is the width (answer and equation please)
Answer:
The rectangle above shows its dimensions. Find the perimeter.
First, substitute the values for the width
(W)
and the length
(L)
into the perimeter formula.
P=2(12)+2(9)
Next, complete the multiplication and addition to find the perimeter.
PPP===2(12)+2(9)24+1842
The answer is 42.
The perimeter of the rectangle is 42 inches.
Area is the amount of square units inside the figure. Area is found by multiplying the
length×width
. The formula for finding the area of a rectangle is:
A=L×W
You can use the dimensions from the rectangle above to find the area of this rectangle.
First, fill the values for
L
and
W
into the formula for area.
AA==L×W12×9
Next, solve for the area by multiplying.
AA==12×9108
The answer is 108.
The area of the rectangle is
108 in2
.
Notice that the unit of measurement for area is squared. That is because you multiplied a unit measure times itself:
in×in=in2
. Area is always written in square units.
You can also find the perimeter and area of a square. Remember that a square has four equal sides given the symbol
s
. You can use the following formula for finding the perimeter of a square:
P=4s
Let’s look at an example.
A rectangle has a length of 12 feet and a perimeter of 72 feet. Write and solve an equation to determine the width of the rectangle.
First, substitute the values for the perimeter
(P)
and the length
(L)
into the perimeter formula.
72=2(12)+2W
Next, complete the multiplication.
72=24+2W
Then, subtract 24 from both sides to get your variable alone on the right side.
72−2448==24−24+2W2W
Then, multiply both sides by the reciprocal of 2 to isolate your variable.
12×481482W===12×2W1W24
The answer is 24.
The width of the rectangle is 24 feet.
The width of the rectangular garden is 5 2/3 feet
We have the following information available from the question is:
The area of a rectangle is 53 5/6 square feet
and, the length (L) of the garden is 9 1/2 feet
We have to find the width (W) of the rectangle.
Now, According to the question:
We know that :
The area of rectangle = L × W
Plug all the values in above formula:
53 5/6 = 9 1/2 × W
323/6 = 19/2 × W
[tex]W=\frac{323(2)}{6(19)}[/tex]
W = 17/3
17/3 as a mixed number would be 5 2/3.
Hence, The width of the rectangular garden is 5 2/3 feet
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Add −12 + 7.
options:
19
−5
−19
5
Answer:
[tex] - 12 + 7 = - 5[/tex]
I hope I helped you^_^
7. (4x - 13) (2x + 37 what is x?
Answer:
8 x2 + 2x - 91
Step-by-step explanation:
56x2 + 4x -637
help me make a apple account and put the user and password please
A washer and a dryer cost $885 combined. The washer costs $65 less than the dryer. What is the cost of the dryer?
explain ratio tables
Answer:
A ratio table is a structured list of equivalent (equal value) ratios that helps us understand the relationship between the ratios and the numbers. Rates, like your heartbeat, are a special kind of ratio, where the two compared numbers have different units
Step-by-step explanation:
Consider the graph of rational function f
6
-6
-2
10
2
4
O
-2
Which equation represents function
A f(x)= 4/x-3
B f(x)= 4x+12/x^2 + x-6
C f(x)= 4/x+2
D f(x)= 4x-8/x^2 +x-6
Answer:
The answer should be D
Step-by-step explanation:
sorry if it's wrong, I just did this test the other day and I forgot if I got it right.
The rational function that is represented by the given graph is [tex]f(x) = \frac{4x - 8}{x^{2} +x-6}[/tex]
What is a polynomial function ?Rational function is any function that can be defined by a rational fraction, which is an algebraic fraction such that both the numerator and the denominator are polynomials.
We need to find out which rational function is represented by this graph.
Firstly, we see that graph does not exist at x = -3 and x = 2.
Thus, (x+3) and (x-2) cannot be equal to 0.
(x + 3)(x - 2) = x² + x - 6
Thus, the denominator of the function is x² + x - 6.
So, our solution can be B. or D.
We can also see that there is a circle over the graph at x = 2. This means that f(x) is undefined at x = 2. It is possible only if f(x) = ∞/∞ or 0/0 at x = 2.
On putting the value of x = 2 in both B. and D., we find that in D. f(x) = 0/0 at x = 2.
[tex]f(2) = \frac{4*2 - 8}{4 + 2 - 6} = \frac{0}{0}[/tex]
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[tex]\sqrt{1.69}[/tex]
1.3 Is that the answer you looking for
A large national park has an area of 91,417 acres. What is its area in hectares
Answer:
36995.1474
Step-by-step explanation:
multiply the area value by 2.471
solve pls brainliest
Answer:
Mixed number: [tex]2 \frac{1}{100}[/tex]
Improper fraction: [tex]\frac{201}{100}[/tex]
solve the inequality
Enter the number 10.333333333333 rounded to the nearest hundredth (two decimal places):
Josh decided to purchase a
jacket for his mother that costs
$200.00. After paying a 6%
sales tax, how much will Josh
pay for the gift?
Answer
$212
Step-by-step explanation:
to get this answer, you must find what 6% of 200 is, which can be calculated using this little equation here
percentage/100 x original price = sales tax
6/100 x 200= 0.06 x 200= 12
this gives you the sales tax, or the amount of money that was added onto the original price, all that's left to do is to add, so original price + sales tax
200+12= $212
Check all solutions to the equation. If there are no solutions, check "None."
W = 4
Someone help!!
Answer:
A) 2
Step-by-step explanation:
The square root of 4 is 2 because 2 x 2 = 4.
The equation says x = 4, and what your trying to solve is the square root of that, not the root. The root to 4 would be 16 if it was reversed.
-kiniwih426
4. Solve 3n = n - 2.
n = 2
n = 1
n=-2
n=-1
3n=n-2
3n-n=2
2n=2
n=1
Hope it helps you! Please mark Brainliest! :)