Answer:
Slope is rate of change, so define your values.
-$100 is the initial fee
-$70 is charged per month
per month is the constant rate of change
70 is the slope
The slope (rate of change) of the function is 70.
What is a slope?In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction
If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,
then the equation of line is
y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)
To find the slope;
m = (y₂- y₁) / (x₂ - x₁)
Given:
Verizon charges a $100 initial contract fee,
then $70 a month for a basic cell phone plan.
Let the x be the number of months.
So, the equation,
y = 70x + 100
By comparing with the slope-intercept form,
y = mx + b, where m is the slope.
So, m = 70.
Therefore, 70 is the slope.
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Jim began a 146-mile bicycle trip to build up stamina for a triathlete competition. Unfortunately, his bicycle chain broke, so he finished the trip walking. The whole trip took 5 hours. If Jim walks at a rate of 4 miles per hour and rides at 40 miles per hour, find the amount of time he spent on the bicycle.
Answer:
3.5 hours
Step-by-step explanation:
Let us represent
The time spent walking as x
The time spent riding as y
Jim began a 146-mile bicycle trip to build up stamina for a triathlete competition. Unfortunately, his bicycle chain broke, so he finished the trip walking. The whole trip took 5 hours.
Hence:
x + y = 5.... Equation 1
x = 5 - y
If Jim walks at a rate of 4 miles per hour and rides at 40 miles per hour,
The formula for Distance = Speed × time. Hence,
4 × x + 40 × y = 146 miles
4x + 40y = 146.... Equation 2
We substitute 5 - y for x in Equation 2
4(5 - y) + 40y = 146
20 - 4y + 40y = 146
Subtract 20 from both sides
20 - 20 - 4y + 40y = 146 - 20
- 4y + 40y = 146 - 20
36y = 126
y = 126/36
y = 3.5 hours
Since the time he spent raiding his bicycle is represented by "y", the amount of time he spent on the bicycle is 3.5 hours
Hey, Whats The answer please explain your answer marking brainliest:D....................................
Answer:
I think it's answer choice A!
Step-by-step explanation:
The reason why I think that it is A is because of the given y values. The x values are consistent through all of the given choices, but if graphed, there is a distance of three units between the y-value of 4 and the y-value of 7. I personally like to use Desmos when it comes to trying to get a visual graph of coordinates. I hope this at least helped a little!
The distance between (2,4) and (2,7) is 3 therefore, these two points have a distance of 3 units, therefore, option (A) will be correct.
How to find the distance between two points?Let's consider we have two points (x₁, y₁) and (x₂, y₂) the distance between these two points is given by the formula;
[tex]d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }[/tex]
The distance between with two points (x₁, y₁) and (x₂, y₂) is given as,
[tex]d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }[/tex]
In option (A),
Points are (2,4) and (2,7).
The distance between them will be,
[tex]d = \sqrt {\left( {2 - 2 } \right)^2 + \left( {4 - 7 } \right)^2 }[/tex]
d = √(3²) = 3
Hence "The distance between (2,4) and (2,7) is 3 therefore, these two points have a distance of 3 units".
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an open box of maximum volume is to be made from a square piece of material, 26 centimeters on a side,
Domain of the function is: 0 < x < 12.
Volume of the box = 4x(12-x)²cm^3
Volume of a cuboid:Volume is the measure of how much space a given substance takes up inside a closed, three-dimensional object. A cuboid's volume given by its length (l), breadth (b), and height (h) is as follows:
According to the given data:Side of square = 24cm
(a) Volume of the box
Let the squares used to create a box have a side of "x" cm.
so,
length will be = 2(12 - x)
Width will be = 2(12 - x)
Hight will be = x
Volume of the Square box (V) = l x b x h
= 2(12 - x) * 2(12 - x) * (x)
= 4x(12-x)²cm^3
(b) The domain of the function V(x)
We see that:
x is length, x >0
x cm of the side's length of 24 cm are removed from both ends.
so that 2x<24
Domain of the function is: 0 < x < 12.
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I understand that the question you are looking for is:
An open box of maximum volume is to be made from a square piece of material, 24 centimeters on a side, by cutting equal squares from the corners and folding up the sides.
If V is the volume in cubic centimeters and x is the height of the box in centimeters, find V in terms of x. Determine the domain of the above function
Divide -1/6 divided -2/9
Dividing two fractions is the same as multiplying the first fraction by the reciprocal (inverse) of the second fraction.
Take the reciprocal of the second fraction by flipping the numerator and denominator, leaving the negative sign on the numerator, and changing the operation to multiplication. Then the equation becomes
For fraction multiplication, multiply the numerators and then multiply the denominators to get
This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 9 and 12 using
Answer:
Fraction Form:[tex]\frac{3}{4}[/tex] ///// Decimal Form: 0.75
Step-by-step explanation:
Reduce the expression,if possible,by reducing the common factors.
Can some one help please i just need an correct anwsers
Answer:
the last one 5/25
Step-by-step explanation:
In rhombus MNOP, side NO equals 45mm. What is the length of
OP
PM+MN
the length of side OP of rhombus is 45 mm and PM + MN is equal to 90 mm.
We are given a rhombus MNOP
We know that, a rhombus is a quadrilateral in which there are 4 sides and all the sides are equal.
We are given the length of the side NO as:
NO = 45 mm
Now, we need to find the length of side OP.
OP = 45 mm ( as NO = OP)
Also, we need to find PM + MN
PM + MN = NO + NO ( as PM = MN = NO )
= 2 NO
= 2 × 45 mm
= 90 mm
Therefore, we get that, the length of side OP of rhombus is 45 mm and PM + MN is equal to 90 mm.
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Help fast please
Write each number using scientific notation
Step-by-step explanation:
uwhhsmousyhajjijajhfihagghe
Answer:
Step-by-step explanation:
11. 5.2 * 10^-6
12. 8.3 * 10^2.
Which of the following inequalities matches the graph?
22) Find the measure of angle A to the nearest degree. Find the length of side b, to tenths.
Answer:
m∠A = 31
b = 13.3
Step-by-step explanation:
Please help. The question is in the pictures. Thanks :)
Answer:
d
hope thois helped!
Step-by-step explanation:
Robin invested $1000 in a 12% simple interest savings deposit for 3
years. He also invested an equal amount in a 10% compound interest
savings deposit for 3 years. At the end of 3 years, how much more
interest did he get from the simple interest deposit?
Step-by-step explanation:
Lets find out,shall we?
Simple interest=(PRT)/100
=$1000×12×3)/100
=$360
Now for compound interest
A=P(1+R/100)^t
A=$1000(1+12/100)^3
A=$1404.928
so interest for compound interest=$(1404.928-1000)=$404.928
Clearly,Robin got more interest by compound interest than simple interest which business people understand lol.
Difference in interest=$404.928-360=$44.928
A pump can fill a 2400-L water tank in 50 min.
How much water can it pump in half an hour?
Answer: 2400 litre in 50 mins
In 1 min it fills 2400/50 litres
In 30 mins 2400/50*30=1440litres
The quotient of 32 and a number is -4
if im right its 32 / n = -4
if your meant to solve it its -8
Erin recycles milk bottles, soda cans, and newspapers. If the following items are in the trash bin, what percent of the items can be recycled?
6 milk bottles, 1 banana peel, 3 newspapers, 4 soda cans, 6 apple cores
A.
35%
B.
65%
C.
13%
D.
100%
Answer:
recyclble materials include Milk bottles, news papaers and soda cans
the rest is compost
20 items is the total
13 are recycble
13/20 as a decimal is 0.65
multiply by 100
and answer is
B.65%Step-by-step explanation:
Answer:
B 65%
Step-by-step explanation:
Math rotation question !! Help me out!
Answer:
clockwise, 90°
(0, 0)
Step-by-step explanation:
Draw a segment from (0, 0) to (1,1).
After the rotation, that segment becomes a segment from (0, 0) to (1, -1).
the rotation is 90° clockwise, and the point it is rotated about is (0, 0).
pls help will mark as brainliest
For each question:
1) write the equation
2) Generate at least two ordered pairs
3) Graph them.
1) Bob sold burgers for $6 and milkshakes for $4. At the end of the day, he made $422.
2) Bob paid a $25 sign-up fee for streaming content, plus $12 per month for his subscription
Answer:
2
Step-by-step explanation:
Answer:
I dont know either but nobody wants to answer this question and just steal points.
Step-by-step explanation:
sorry u dont have the answer.
when making a long trip, you should stop for a rest: about every four hours or two hundred miles only when you stop for meals and gasoline do not stop until you get to your destination about every two hours or one hundred miles submit answer
In order to keep the attention and reduce the risks that come with driving too much without a break, it is generally advised to take a break of at least 15 minutes every two hours and to limit your driving time to no more than eight hours per day during a long trip.
What is a long trip?
Driving over extended periods of time without rest can be quite dangerous, despite how alluring it may be on a road trip to do so in order to reach your goal as quickly as possible.Frequent breaks are essential to maintaining a high standard of safe, efficient driving since driving requires a lot of concentration, expertise, and control that is challenging to maintain for hours on end.In order to keep the attention and reduce the risks that come with driving too much without a break, it is generally advised to take a break of at least 15 minutes every two hours and to limit your driving time to no more than eight hours per day during a long trip.
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whats the answer giving brainliest :)
Answer:
u deleted my first anwser-
Step-by-step explanation:
ur dum i was right :)
what is equivalent to 2/3 - (-3/4) + 5/4
isnt It imporoper
................,,,,
Answer:
Can I get brainiest?
Step-by-step explanation:
Use the equation y = x - 2 and perform a reflection over the x-axis. Write an equation in 2
1
slope intercept form that represents the new line.
Answer:
So after reflecting over the x-axis, the equation is:
[tex]-y = x-2[/tex]
so the equation in the slope-intercept form
[tex]-y = x-2[/tex]
[tex]y=-x+2[/tex]
Here,
The slope = m = -1The y-intercept = b = 2Step-by-step explanation:
Given the equation
[tex]y = x - 2[/tex]
Reflecting over the x-axis inverts the sign of the y-coordinate, but the sign of the x-coordinate remains the same.
So after reflecting over the x-axis, the equation is:
[tex]-y = x-2[/tex]
Now, writing the equation in the slope-intercept form
[tex]y=mx+b[/tex]
where m is the slope and b is the y-intercept
so the equation in the slope-intercept form
[tex]-y = x-2[/tex]
[tex]y=-x+2[/tex]
Here,
The slope = m = -1The y-intercept = b = 2e + f =48
e=3f
Plz help - thanks
Answer:
[tex]given \: \\ \\ e = 3f \\ e + f = 48 \\ \\ 3f + f = 48 \\ 4f = 48 \\ f = \frac{48}{4} \\ f = 12 \\ so. \\ e = 3 \times 12 = 36[/tex]
plzz mark it as a brilliant ansWhat sum is represented by the arrow diagram?
Answer:
Would it be 1?
Step-by-step explanation:
I'm not that sure but it seems it goes up to 4 so 4- -3 = 1. Exuse me if my wrong..
can some one answer this
Consider the population of part-time college students. Suppose that 60% of this population is female. Here is the sampling distribution for the proportion of females in random samples of n students. The standard deviation is approximately 0.10. Lines indicate a distance of 1 and 2 standard deviations above and below the mean.
Answer:
The answer is "1.5".
Step-by-step explanation:
Given value:
[tex]p= 60 \% = \frac{60}{100}= 0.60\\\\\sigma_p = 0.10 \\\\\hat{p} =0.75[/tex]
testing the statistics:
[tex]Z= \frac{\hat{p} -p}{\sigma_p}\\\\[/tex]
[tex]=\frac{0.75-0.60}{0.10}\\\\=\frac{0.15}{0.10}\\\\=1.5[/tex]
(-1,2) and (-4,8)
Find the slope of the line that contains the point
1. 2
2. 6/5
3. -2
4. -6/5
Answer:
-2
Step-by-step explanation:
We can use the slope formula
m = ( y2-y1)/(x2-x1)
= ( 8 -2)/(-4- -1)
= (8-2)/(-4+1)
= 6/-3
= -2
-6z = 72 solve for z
Answer:
-12
Step-by-step explanation:
72 / -6 = -12
Answer:
-12
Step-by-step explanation:
72 divided by -6= -12
Select two values that can replace
to make the inequality true.
5.436 < I NEED ANSWER FASTT
Answer:
D and B
Step-by-step explanation:
Just solve each one
Need help now, will give brainliest
Answer:
in 2 months
Step-by-step explanation:
since 2 times 7000 is 14000 plz mark as brainliest
HELP DUE IN 20 MINS!!!!!!
Answer:
10 miles
Step-by-step explanation:
Set up a proportion: [tex]\frac{15}{1.5} = \frac{x}{1}[/tex] Cross multiply, then divide: 15 × 1 = 15, 15 ÷ 1.5 = 10So, Jessica can run 10 miles in 1 hourI hope this helps!