Answers
We need to find distance they travel as a function of time. This simply means that x is the function of time. The destination is 120 miles away, this is irrelevant for the question that is currently being asked. However, we know that they have already travelled 20 miles and are going 50 miles and hour. So lets plug in what we have.
50 is our rate of change, so we match that with the x.
20 is our constant, the distance already travelled.
This means our function is:
f(x) = 50x + 20
This means our answer is D) f(x) = 50x + 20
Lets also plug in 120 to solve how much further they need to travel before arriving.
120 is our f(x) as it is the final distance travelled.
120 = 50x + 20
120-20 = 50x
100 = 50x
100/50 = x
2 = x
This means that they need to travel 2 hours in addition to the 20 miles they have already gone.
I hope I've helped! :)
Related Questions
What is the midpoint of the segment shown below?
A.(5,7/2)
B.(5,7)
C.(5/2,7)
D.(5/2,7/2)
Answers
Answer:
D
Step-by-step explanation:
[tex](x_{1},y_{1}) = (2 , 2)\\\\ (x_{2},y_{2}) = (3 , 5)\\\\\\Midpoint=\left(\dfrac{x_{1}+y_{1}}{2},\dfrac{x_{2}+y_{2}}{2} \right)\\\\\\=\left(\dfrac{3+2}{2},\dfrac{5+2}{2} \right)\\\\\\= \left(\dfrac{5}{2},\dfrac{7}{2} \right)[/tex]
Please help me ASAP please please
Answers
Answer:
x = 67°
Step-by-step explanation:
angle FGD and angle CGE are vertical angles, meaning that they both have the same value. This concludes that angle FGD must be 23°. Now, we have to find angle x. We know that angle x and angle FGD are complementary, meaning they sum to 90°. Therefore, x = 90° - 23° = 67°.
39. The area of a triangle A varies jointly as b and h. If A = 225 in- when b = 18 in. and h = 25
in., find A when b = 35 in. and h = 40 in.
37
Answers
Answer: B
Step-by-step explanation:
Answer:
700 in^2
Step-by-step explanation:
If A = 225 in- when b = 18 in. and h = 25
225 = 18 * 25 / 2
a = 35 * 40 / 2
a = 700
How do I simplify these squared expressions? I believe I'm supposed to use multiplication but I'm not sure how. All of my answers have been incorrect so far.
Answers
I think it wants you to remove the squares.
See if this works :)
Write the equation's of the lines using the given information
m=-2, (3, -7)
Answers
Answer:
y = -2x-1
Step-by-step explanation:
The formula for a line is [tex]y-y_{1} = m(x-x_{1})[/tex].
Plug in the information given in the problem: y-(-7) = -2(x-3)
So you get y+7 = -2x+6.
The final form you want needs to be equal to y (that means you want y by itself on the left side of the equals), so subtract 7 from both sides.
You get y = -2x-1
[tex](\stackrel{x_1}{3}~,~\stackrel{y_1}{-7})~\hspace{10em} m = -2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-7)}=\stackrel{m}{-2}(x-\stackrel{x_1}{3}) \\\\\\ y+7=-2x+6\implies \blacktriangleright y=-2x-1 \blacktriangleleft[/tex]
Maximize z=200x+300y subject to x+2y<10 ,x+y<6,x>4 and x>0 ,y>0
Answers
Answer:
In theory I would have started looking at the critical points of the function, ie where the tangent plane is horizontal. Trick is, since the function is linear in both x and y the tangent plane is the curve itself, and it's never horizontal. We have to parametrize the border and look in there.
From the last two conditions ([tex]x>0; y>0[/tex]) we are looking only at the first quadrant. Let's start drawing lines.
The various restrains are color coded in the graph ([tex]x+2y<10[/tex] is red, [tex]x+y<6[/tex] is blue, [tex]x>4[/tex] is orange). That leads to the right triangle with a grey border that gets parametrized as shown. Due to the linearity of the original function, the maximum is at one of the extremes (upper or lower depending if the coefficient of the parameter is positive or negative). At this point is just calculating the values, pick up the largest, and see which points correspond to that value of the parameter.
Number crunching done, the maximum is at (4,2)
what do I do next???
Answers
Answer: You have to get rid of the variables (the x's) so subtract 2x from 2x and 11x then go from there.
Step-by-step explanation:
Answer:
3 and 6
Step-by-step explanation:
11x - 53 = x^2 + 2x - 35
Subtract 11x - 53 on both sides,
0 = x^2 + 2x - 35 - ( 11x - 53 )
= x^2 + 2x - 35 - 11x + 53
= x^2 + 2x - 11x + 53 - 35
0 = x^2 - 9x + 18
x^2 - 9x + 18 = 0
Now this equation need to factorized.
x^2 - 9x + 18 = 0
x^2 - 3x - 6x + 18 = 0
x ( x - 3 ) - 6 ( x - 3 ) = 0
( x - 3 ) ( x - 6 ) = 0
x - 3 = 0
x = 3
x - 6 = 0
x = 6
The solutions to this system are 3 and 6.
Write an equation in slope-intercept form of the line shown.
Answers
Answer:
y=-3/2x+5
Step-by-step explanation:
The line intersects with points (2,2) and (4,-1). Slope intercept form is y=mx+b, where m is slope and b is the y intercept. The y intercept appears to be at (0,5), so b=5. As for the line, the formula for calculating slope is y2-y1/x2-x1 (the order of the points you use actually does not matter; you just have to make sure both coordinates from the same point are placed in the same part of the formula). -1-2/4-2=-3/2. Therefore, the slope is -3/2 (or -1.5 if you want a decimal).
Solve
46+(-4)
A. 50
B. 42
C. -42
D. -50
Answers
we have 46 + (-4) = 46 - 4 = 42
so the answer is B
ok done. Thank to me :>
increase R700 in the ratio 3:2
Answers
Answer:
3 over5 multiplied by 320 equals 192
In BCD, BC = DB and mB = 139º. Find mD.
Answers
At the store the ratio of books sold to movies sold was 4:5.For every_books sold there were _ movies sold.
Answers
Answer:
At the store the ratio of books sold to movies sold was 4:5.For every 4 books sold there were 5 movies sold.
Step-by-step explanation:
If the side of a square is increased by 25%, then by how much is its area increased?
Answers
Answer:
56.25%Step-by-step explanation:
If a variable X changes by A% and another variable Y changes by B%, then overall net change when the two variables are multiplied is given by :
A + B + AB/100
If the change is “increase” it is positive & if the change is “decrease” it is negative.
In the given question, A = B = 25% ( Both positive as length increase )
And area = Side x Side
Applying our versatile relation :
Net increase in area = 25 + 25 + (25x25)/100 = 56.25%
Estimate the amount of the tip by rounding the bill to the nearest dollar before calculating.
20% tip on a bill of $37.27
what is the amount of the tip is approximately
Answers
Round $37.27 to $37.00
Then multiply $37 by .2
How much wax is needed to make one spherical candle?
Answers
Answer:
In this example, you would need at least 7.9 pounds of wax to fill (25) 8 oz Candle Tins. It is a good idea to round up this number. It's always better to have a little wax left over than to not have enough!
Step-by-step explanation:
which equation is the inverse of y=7x^2-10
Answers
Answer:
d
Step-by-step explanation:
Answer:
Step-by-step explanation:
NEED HELP I DONT REMEBER DIS
Answers
2 . NM
3 . x = 7
Answer:
a. ΔMNK =Δ [tex]PRT[/tex]
b. TR=MN
c. [tex]x=7[/tex]
Step-by-step explanation:
I hope this help you
40 O Wide Mouth You MRW
Solve Multi-step problems Outlevel
Question 2
Carly sold 18 rolls of wrapping paper. That is 2 times as many rolls
as Jasmine sold.
How many rolls of wrapping paper did they sell altogether?
Rolls of wrapping paper sold
Carly
Jasmine
?
rolls of wrapping paper
Answers
Answer:
54 wrapping papers sold
Scientific notation question in mathematics please answer
A newly discovered planet has a mass of 4.8743 · 10 22 kilograms. It's estimated that there is water on the surface and that, the water's mass is only 4 · 10 -2 percent of the planet's total mass. Use scientific notation to estimate the mass of the planet's water. In your final answer, include all of your estimates and calculations.
Answers
Answer:
1.94972 × 10¹⁹ kgStep-by-step explanation:
Mass of the planet:
4.8743 × 10²² kgThe water's mass:
4×10⁺²%Mass of the planet's water:
4.8743 × 10²² * 4×10⁺² / 100 = 19.4972 × 10²²⁺²⁺² = 19.4972 × 10¹⁸ = 1.94972 × 10¹⁹Solve the equation for the indicated variable.
8x + y =5, for x
X= [?]
(Simplify your answer.Use integers or fractions for any numbers in the expression.)
Answers
Answer:
x = −1/8y + 5/8
Step-by-step explanation:
Step 1: Add -y to both sides.
8x = −y + 5
Step 2: Divide both sides by 8.
8x/8 = −y+5/8
x= −1/8y + 5/8
Hi , what is sun helppp pls
Answers
Answer: sun are the main light source
Step-by-step explanation:
Answer:
What is sun ?
»The Sun is a star. It is a huge, spinning, glowing sphere of hot gas.how many ten thousand are in 1,000,000?
Answers
Answer:
100
Step-by-step explanation:
10,000 * 100 = 1,000,000
So there are 100 ten thousands in 1,000,000
Simplify these expressions
a) 5 x x
b) 6 x x xy
c) 2 x x 3 y
Answers
b) 6 x2 xy
c) 5 x2 y
solve for X
..................................................................................
Answers
Answer:
C. 9
Step-by-step explanation:
The measure of a triangle is 180.
Make all the angles equal 180.
50+80+6x-4=180.
Solve.
6x=54
x=9
Answer:
9
Step-by-step explanation:
All triangle angles add up to 180 degrees.
50 + 80 + (6x - 4) = 180
130 + (6x - 4) = 180
-130 -130
6x - 4 = 50
+4 +4
6x = 54
/6 /6
x = 9
The bag has 99 buttons. Draw more buttons so there are 105 buttons in all. Write the numbers as you count.
Answers
Answer:
100 101 102 103 104 105
Step-by-step explanation:
im kinda confused
Graph the set of real numbers on a number line. {x|-3 < x and x< 1}
Answers
Answer:
9
Step-by-step explanation:
8000000000000
9
0
9
please someone helpppp meeeeee
Answers
Answer:
b
Step-by-step explanation:
236
Answer:
my answer is C/386
Step-by-step explanation:
x/2+74+42+77=x
Which of the functions represents a function?
Answers
Answer:
letter A or B but I think it's letter b
Answer:
The answer is A
Step-by-step explanation:
on edge 2021
help! giving brainliest!!!
Answers
How do you figure out a missing number in an input and output table?
Answers
Answer:
- we can find the slope of the equation for the table and then plug in values into y = mx+b to find the full equation
Step-by-step explanation: