Answer:
[tex]y = -\frac{220}{3}x + 520[/tex]
Step-by-step explanation:
Given
[tex]x = time[/tex]
[tex]y = distance[/tex]
For the first 3 hours, we have:
[tex](x_1,y_1) = (3,300)[/tex]
At 6 hours, we have:
[tex](x_2,y_2) = (6,80)[/tex]
Required
Express y as a function of x
First, calculate the slope:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
This gives:
[tex]m = \frac{80 - 300}{6 - 3}[/tex]
[tex]m = \frac{-220}{3}[/tex]
[tex]m = -\frac{220}{3}[/tex]
The equation is then calculated using:
[tex]y = m(x - x_1) + y_1[/tex]
Where:
[tex]m = -\frac{220}{3}[/tex]
[tex](x_1,y_1) = (3,300)[/tex]
[tex]y = -\frac{220}{3}(x - 3) + 300[/tex]
Open bracket
[tex]y = -\frac{220}{3}x + \frac{220}{3}*3 + 300[/tex]
[tex]y = -\frac{220}{3}x + 220 + 300[/tex]
[tex]y = -\frac{220}{3}x + 520[/tex]
HELP ME ASAP
Which of the following articles would most benefit from a problem and solution organization pattern?
An article explaining your ideas on how to best rescue endangered loggerhead turtle eggs
An article comparing the loggerhead turtle rescue efforts on different beaches
An article discussing the life span of the loggerhead turtle
An article explaining why the loggerhead turtle is an endangered species
Answer:
An article explaining your ideas on how to best rescue endangered loggerhead turtle eggs
Step-by-step explanation:
In the problem and solution organization pattern, it is all about the ability to determine the problems affecting the organisation as well as proffer solutions on how to solve those problems. This would then lead to minimizing cost and maximizing profits. The example above which is about ideas on how to rescue endangered loggerhead turtle eggs is following same pattern.
Solve the system by substitution y = -6x and -2x-7y=40
Answer:
x=4 y=8
Step-by-step explanation:
which expression is equivalent to (x4)^9
Answer:
Step-by-step explanation:
[tex](a^{m})^{n}=a^{m*n}\\\\(x^{4})^{9}=x^{4*9}=x^{36}[/tex]
Can you please solve this?
Answer:
2/ z^4^3Step-by-step explanation:
help me please its hard and im like really not smart.
Answer:
B
Step-by-step explanation:
Answer:
B= <B
Step-by-step explanation:
The lines indicate the congruence, <G and <C both have the two lines
What is the area of the triangle shown below?
A. 84 sq. units
B. 42 sq. units
C. 20 sq. units
D. 10 sq. units
Answer:
42 sq. Units
Step-by-step explanation:
I took the test
The area of the triangle shown below is B. 42 sq. units, the correct option is B.
What is the area of a triangle?The area of the triangle is defined as the product of half the base and the height of the triangle.
We are given the parameters are;
Length of its base = b units
Its height = h units long,
Then we get:
Area of a triangle = 1/2 b h
We are given that;
Base= 14, Height= 6
Now,
The area of a right triangle is given by:
Area = (1/2) * base * height
Substituting the values;
Area = (1/2) * 14 * 6
= 42 square units
Therefore, the area of triangle will be 42 sq. units.
Learn more about area of a triangle;
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Please help me with this homework
Step-by-step explanation:
a)20.52 approximately
b) 36.9 approximately
c)5.49 approximately 5.5
d)14.9 approximately 15
Please help. Whats the answer
Answer:
The answer is letter C.
I hope it help
There is 0.162 liter of water in a 1-liter bottle. How much more water should be put in the bottle so it contains exactly 1 liter?
Answer: 0.838 is the answer to this problem
Because 1.000 - .162= 0.838
simplify this please!
Answer: 7.745967
Step-by-step explanation:
Answer:
Exact Form:
2√3
Decimal Form:
3.4641016
20% of a is 11. What is a?
75% of b is 12. What is b?
80% of c is 20. What is c?
200% of d is 18. What is d?
Answer:
hopefully that helps
Step-by-step explanation:
A: 55
B: 16
C: 25
D: 9
help Video
What is an equation of the line that passes through the points (2, 2) and (-2,8)?
How many terms are in the following expression? 3d + 5e - 2f + 7
Please I really need help fast
Select the compound inequality shown on the graph.
+++
-5 -4 -3 -2 -1 0 1
N
3
4 5
A. x < -1 and x 24
B. x>-1 and x 34
C. -13x34
D. -13x<4
Answer:
B
Step-by-step explanation:
there is a hole at -1, so -1 is less than x and x is greater than or equal to 4
The compound inequality shown on the graph is x < -1 and x≥4.
What is Inequality?Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
We have the graph for the inequality.
The first part of the inequality is
x < -1
and, the second part of inequality x≥4
So, the compound inequality is x < -1 and x≥4.
Learn more about Inequality here:
https://brainly.com/question/30231190
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Felipe has entered a hot-dog-eating contest. If he can eat 3 hotdogs in 12 minutes, how many hot dogs can he eat in 24 minutes?
Answer: 6 hotdogs
Step-by-step explanation:
From the question, we are informed that Felipe can eat 3 hotdogs in 12 minute. This means that he can ear one hotdog in 4 minutes (12/3).
The hot dogs that he can eat in 24 minutes will then be:
= 24/4
= 6 hotdogs
A 7 cm x 5 cm rectangle sits inside a circle with radius of 6 cm. What is the area of the shaded region? Round your final answer to the nearest hundredth. 7 cm 6 cm 5 cm
Answer:
78.1 cm^2
Step-by-step explanation:
Pi r^2= area of circle
3.14 x 6^2= 113.1
b x h = area of rectangle
5 x7 =35
113.1 - 35= 78.1
Someone please help me with these questions, i will make you brainliest
Answer:
The y-intercept is 3,500 and choose B
Step-by-step explanation:
I know it B because the y-intercept represent the starting height of the glider before decreasing down.
Hope this hepled
PLEASE HELP ME
PLEASE I WILL GIVE 25 point IF IT IS RIGHT!!
4/10 divided by 3/5 thank u sm if u can help i really struggle in math!
Answer:
6/9
Step-by-step explanation:
Answer: 0.66666666666667
I forgot how to find a function in a graph
Answer:
This graph is NOT a function.
Step-by-step explanation:
A graph is a function only if there is exactly one y-value for every x-value. In this case, there are many x-values that have two y-values, making this graph not a function.
Let me know if this helps!
Which of the following is a common denominator of 3/4 and 1/5
a.35
b.20
c.15
d.30
Answer:
b.20
Step-by-step explanation:
brainliest please
Answer:
The answer is 20
Step-by-step explanation:
can someone plz help
Answer:
x=16
Step-by-step explanation:
PLEASE HELP WILL MARK BRAINLY
Answer:
A, C, D, A, C
Step-by-step explanation:
This is one through five.
Answer:
1.
12 maths book =40 pounds
21 maths book =40×21/12=70 pounds
2.it may be 4.8 or 4.7 sorry question is not clear
3.
perimeter of trapezoid =sum of all side=12+10+19+15=56in
4.
area of trapezoid =1/2 (s1+s2)×h
=1/2 ×12(10+19)=174in²
5.
4²=16
√4=2
so 4² is 8times grater.
f(x)=5x+7 and g(x)=2x+3 find a) `(f+g)(x)` b) `(f-g)(x)`
X + 1 by x = 99 find the value of 100x by 2x square + 102x + 2
1
SEE ANSWER
give me brainilest
Answer:
[tex]a) \\(5x + 7) + (2x + 3) = 7x + 10 \\ b) \\ (5 x + 7) - (2x + 3) \\ = 5x + 7 - 2x - 3 \\ = 3x + 4[/tex]
Put the steps in order to show how to solve the equation 4y - 7 = 25
Answer: E, A, D, C, B
Step-by-step explanation:
First, we need to get y alone. So we will add 7 to the side of the equation that has the 4y in it.
So the first one will be.
Add 7 to both sides of the equation.
Now the second one is
4y = 25 + 7 Because what you do to one side of the equation, you do to the other. So we add 7 to 25.
Then the 3rd one will be 4y = 32 because 25+7 is equal to 32. But we still have that 4y on the other side of the equation. So the next equation is 4y = 32.
The second to last step is Divide both sides by 4 because thats
how you isolate y. So once you divide both sides by 4. You will get 8. Leading you into the next and final step.
Y = 8
And thats how you do it!
(3x - 5 - 7x^2) - (-2 + 6x^2 - 5x) write in descending order
Answer:
-13x^2+8x-3
Step-by-step explanation:
[tex](3x-5-7x^2)-(-2+6x^2-5x)\\3x-5-7x^2+2-6x^2+5x\\-13x^2 + 8x - 3[/tex]
WILL GIVE BRAINLIEST !!!! AND 75 POINTS
Answer:
B 95
Step-by-step explanation:
Hope it help
Mark me as brainliest
Answer: free points
Step-by-step explanation: yay
Please help if possible :)
How do I find the Improper fraction for
[tex]2 \frac{n}{2} [/tex]
3a + 7 + 2(3 + a)
[tex]what \: is \: anwser[/tex]
Answer:
5a + 13
Step-by-step explanation:
3a + 7 + 2(3 + a)
3a + 7 + 6 + 2a
5a + 13