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3 years ago

Help me with this question

Mathematics

2 answers:

ladessa [460]3 years ago

7 0

Jan > Eli per hour. The slope is the rate per hour, which is almost 6, but Jan only has 20/4 = 5

labwork [276]3 years ago

6 0

Hey there!

If Eli earned $20 for every 4 hours she works, that means that she earned $5 per hour, which I found by simply dividing $20 by 4.

You can look at Jan's earnings on the graph that she earns $6 per hour, which is a dollar more than Eli. You can also look at Jan's earnings after 4 hours to see that it is 4 dollars more than what Eli earns. This is due to the fact that she earns $6 per hour and after 4 hours has earned $24 instead of Eli's $20.

Because of this, your answer will be Jan earns more money than Eli, which is your third option.

Hope this helped you out! :-)

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What is the equation of the line that passes through the point (-2,-1) and has a slope of 5/2

Darya [45]

Answer:

y = (5/2)x + 4

Step-by-step explanation:

We'll look for an equation in the format y = mx + b, where mn is the slope and b the y-intercept (the value of y when x = 0).

y = mx + b

m is (5/2)

y = (5/2)x + b

We need a value of b that will force the line through point (-2,-1). Enter the point (-2,-1) in the equation and solve for b:

y = (5/2)x + b

-1 = (5/2)(-2) + b

-1 = -5 + b

b = 4

The equation is y = (5/2)x + 4

See attached image.

5 0

2 years ago

PLEASE HELP AGAIN WILL MARK BRAINLEST !!!!!

Archy [21]

Answer:

Step-by-step explanation:

g(-1) means what is g(x) when x=-1.

So find -1 under the column labeled x and then scroll directly to the right of that and you should see what g(-1). It is 3

Here are my examples:

g(-8)=6

g(-5)=-2

g(-1)=3

g(0)=-5

7 0

4 years ago

What is the equation of the horizontal line through (-7,-3)(−7,−3)?

Sholpan [36]

Answer:

y = -3

Step-by-step explanation:

This is because horizontal lines have a slope of 0. And for horizontal lines, the equation of the line is y = b. So, b is the y-intercept and the y intercept is -3 so that is the equation of the line.

3 0

3 years ago

Use the method of "undetermined coefficients" to find a particular solution of the differential equation. (The solution found ma

Naddika [18.5K]

Answer:

The particular solution of the differential equation

= $\frac{-1,36,656cos5x+1,89,800 sin5x}{-1204}$ + $\frac{1}{37}185e^{6x})$

Step-by-step explanation:

Given differential equation y''(x) − 10y'(x) + 61y(x) = −3796 cos(5x) + 185e6x

The differential operator form $(D^{2} -10D+61)y(x) = −3796 cos(5x) + 185e^{6x}$

Rules for finding particular integral in some special cases:-

let f(D)y = $e^{ax}$ then

the particular integral $\frac{1}{f(D)} (e^{ax} ) = \frac{1}{f(a)} (e^{ax} ) if f(a)$ ≠ 0

let f(D)y = cos (ax ) then

the particular integral $\frac{1}{f(D)} (cosax ) = \frac{1}{f(D^2)} (cosax ) =\frac{cosax}{f(-a^2)}$ f(-a^2) ≠ 0

Given problem

$(D^{2} -10D+61)y(x) = −3796 cos(5x) + 185e^{6x}$

Particular integral:-

$P.I = \frac{1}{f(D)}( −3796 cos(5x) + 185e^{6x})$

$P.I = \frac{1}{D^2-10D+61}( −3796 cos(5x) + 185e^{6x})$

$P.I = \frac{1}{D^2-10D+61}( −3796 cos(5x) + \frac{1}{D^2-10D+61}185e^{6x})$

P.I = $I_{1} +I_{2}$

we will apply above two conditions, we get

$I_{1}$ =

$\frac{1}{D^2-10D+61}( −3796 cos(5x) = \frac{1}{(-25)-10D+61}( −3796 cos(5x) ( since D^2 = - 5^2)$ $= \frac{1}{(36-10D}( −3796 cos(5x) \\= \frac{1}{(36-10D}X\frac{36+10D}{36+10D} ( −3796 cos(5x)$

on simplification we get

= $\frac{1}{(36^2-(10D)^2}36+10D( −3796 cos(5x)$

= $\frac{-1,36,656cos5x+1,89,800 sin5x}{1296-100(-25)}$

= $\frac{-1,36,656cos5x+1,89,800 sin5x}{-1204}$

$I_{2}$ =

$\frac{1}{D^2-10D+61}185e^{6x}) = \frac{1}{6^2-10(6)+61}185e^{6x})$

$\frac{1}{37}185e^{6x})$

Now particular solution

P.I = $I_{1} +I_{2}$

P.I = $\frac{-1,36,656cos5x+1,89,800 sin5x}{-1204}$ + $\frac{1}{37}185e^{6x})$

8 0

3 years ago

The first side of a triangle is 2 inches shorter than the second side. The third side is 5 inches longer than the second side. I

fomenos

Let the length of second side be x" ,

So,
Length of first side = 2" shorter than second = ( x - 2 )"
Length of third side = 5" longer than second = ( x + 5 )"

=×=×=×=×=×=×=×=×=×=×=×=×=×=×=×=×=

$\text{Perimeter = sum of all sides }$

Given, perimeter = 33"

= > first side + second side + third side = 33"

= > ( x - 2 ) + x + ( x + 5 ) = 33

= > x - 2 + x + x + 5 = 33

= > 3x + 3 = 33

= > 3x = 30

$= \: > x = \frac{30}{3}$

= > x = 10

Hence, length of each side is

First side = ( x - 2 )" = ( 10 - 2 )" = 8 inches

Second side = x " = 10 inches

Third side = ( x + 5 )" = ( 10 + 5 )" = 15 inches

8 0

3 years ago