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3 years ago

How do find the rate of change

Mathematics

1 answer:

Anna007 [38]3 years ago

7 0

Find the slope of the line using the equation (y1-y2)/(x1-x2), which is change in rise over change in run. use any two points, for example (2,-2) and (3,-1). using the formula, (-2-(-1))/(2-3) is the rate of change, giving you -1/-1 as the slope, which is -1. the rate of change is -1.

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Harry made fruit punch using 2 parts orange juice to 2 parts soda water. The amount of soda water that Harry used is directly pr

Sindrei [870]

y=kx

soda water=k orange juice

2=2k

k=1

18=1 × orange juice

orange juice=18/1

orange juice=18 cups

4 0

3 years ago

ms anderson bought 45 baseball hats. Mets hats cost $18 and Yankee hats cost $24. If she spent $1050, how many of each did she b

DerKrebs [107]

First, you have to set up two equations. X + y = 45 18x + 24y = 1,050 To do this, you have to solve for an exponent by cancelling out the other one. To solve for y, you multiply everything in the first equation by -18. -18x -18y = -810 This cancels out the x and leaves you with 6y = 240. Divide both sides by 6 and you have the number of Yankee hats that were bought. Then, you have to substitute 40 for y in the first equation and solve for x.

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3 years ago

What is the equation of the line that passes through the point (-1,7) and is parallel to the line y= -2x-1

Nuetrik [128]

if we look at the equation y = -2x - 1, is already in slope-intercept form, therefore, $\bf y=\stackrel{slope}{-2}x-1$ has a slope of -2.

now, parallel lines have exactly equal slopes, therefore a parallel to that one above, will have also a slope of -2, so we're really looking for a line whose slope is -2 and runs through -1, 7.

$\bf (\stackrel{x_1}{-1}~,~\stackrel{y_1}{7})\qquad \qquad \qquad slope = m\implies -2\\\\\\\stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-7=-2[x-(-1)]\\\\\\y-7=-2(x+1)\implies y-7=-2x-2\implies y=-2x+5$

3 0

2 years ago

An airplane climbs 100 feet during the first second after takeoff. In each succeeding second it climbs 100 feet more than it cli

tigry1 [53]

Answer:

15 seconds.

Step-by-step explanation:

∵ The distance covered by plane in first second = 100 ft,

Also, in each succeeding second it climbs 100 feet more than it climbed during the previous second,

So, distance covered in second second = 200,

In third second = 300,

In fourth second = 400,

............, so on....

Thus, the total distance covered by plane in n seconds = 100 + 200 + 300 +400......... upto n seconds

$=\frac{n}{2}(2\times 100 + (n-1)100)$ ( Sum of AP )

$=\frac{n}{2}(200+100n-100)$

$=\frac{n}{2}(100+100n)$

$=50n+50n^2$

Suppose the distance covered in n seconds is 12,000 feet,

$\implies 50n+50n^2=12000$

$n+n^2=240$

$n^2+n-240=0$

$n^2+16n-15n-240=0$

$n(n+16)-15(n+16)=0$

$(n-15)(n+16)=0$

$\implies n=15\text{ or }n=-16$

∵ n can not be negative,

Hence, after 15 seconds the plane will reach an altitude of 12,000 feet above its takeoff height.

6 0

2 years ago

Read 2 more answers

PLS HELP ME ASAP ON THIS!! THANK U SM!!

ankoles [38]

"Any strategy" includes letting a calculator solve it.

We find the tea costs $0.80 and the gum $0.45, so the price of Rocco's purchase will be $4.90.

3 0

2 years ago