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3 years ago

Please help with this!!!

Mathematics

1 answer:

RSB [31]3 years ago

5 0

Answer:

Step-by-step explanation:

So to graph an inverse of the function given we have to switch the x and y values of the function:

So Ill do some points and the rest of the points the same process is applicable.

So our first point is (-1,1)

So our inverse point would be (1,-1)

The second point is (-2,2)

So our inverse point would be (2,-2)

The third point is (-3,3)

So our inverse point would be (3,-3)

Hope this helps!

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An Eastbound train (E) traveling 95 mph and a Westbound train (W) traveling 110 mph leave the same train station at different ti

Simora [160]

Answer:

The system of linear equations that can be used to determine the time that each of the trains has been traveling is:

E + W = 4 ....... Equation 1

95 E + 110W = 400 ......Equation 2

Hence,

An Eastbound train has been travelling for = (E) = 2.67 hours

A Westbound train has been travelling for = (W) = 1.33 hours

Step-by-step explanation:

An Eastbound train (E) traveling 95 mph and a Westbound train (W) traveling 110 mph leave the same train station at different times. After 4 hours, they are 4 00 miles apart. Which system of linear equations can be used to determine the time that each of the trains has been traveling?

Speed = Distance/Time

Distance = Speed × Time

Let the time

An Eastbound train = (E)

A Westbound train = (W)

E + W = 4 hours ....... Equation 1

95mph × E + 110mph × W = 400 miles

95 E + 110W = 400 miles ......Equation 2

The system of linear equations that can be used to determine the time that each of the trains has been traveling is:

E + W = 4 ....... Equation 1

95 E + 110W = 400 ......Equation 2

E = 4 - W

We substitute 4 - W for E in Equation 2

95 (4 - W) + 110W = 400

380 - 95W + 110W = 400

Collect like terms

95W - 110W = 400 - 380

15W = 20

W = 20/15

W = 1.3333333333 hours

≈ 1.33 hours

E = 4 - W

E = 4 - 1.33 hours

E = 2.67 hours

Therefore,

An Eastbound train has been travelling for = (E) = 2.67 hours

A Westbound train has been travelling for = (W) = 1.33 hours

8 0

3 years ago

Katy invests a total of $26,500 in two accounts paying 4% and 9% annual interest, respectively. How much was invested in each ac

White raven [17]

A = amount invested at 4%.

b = amount invested at 9%.

we know the total amount invested was $26500, thus a + b = 26500.

whatever% of anything is just (whatever/100) * anything.

how much is 4% of a? well, is just (4/100) * a, or 0.04a.

how much is 9% of b? well, is just (9/100) * b, or 0.09b.

we know the interest yielded for both amounts adds up to $1510, thus 0.04a + 0.09b = 1510.

$\bf \begin{cases}
a+b=26500\implies \boxed{b}=26500-a\\
0.04a+0.09b=1510\\
----------------\\
0.04a+0.09\left( \boxed{26500-a} \right)=1510
\end{cases}
\\\\\\
0.04-0.09a+2385=1510\implies -0.05a=-875
\\\\\\
a=\cfrac{-875}{-0.05}\implies a=17500$

how much was invested at 9%? well, b = 26500 - a.

7 0

3 years ago

Can you help me please?

Alecsey [184]

Answer:

The awnser is "The slope of line B is 4"

3 0

3 years ago

Read 2 more answers

If the current temperature is -11°F, what change in temperature would result in a final temperature of -27°F?

kirill [66]

-7 F I think is the answers

4 0

3 years ago

(100+ POINTS)

horsena [70]

Answer:

1) 102.7 meters

2) 11

Step-by-step explanation:

1) -4.9x² + 75x = -4.9x² + 50x + 38

25x = 38

x = 1.52 s

Height = -4.9(1.52)² + 75(1.52) = 102.67904 m = 102.7 m

2) f(x) = x² + 3x - 2

f(2) = 2² + 3(2) - 2 = 8

f(6) = 6² + 3(6) - 2 = 52

Average rate of change:

(52-8)/(6-2) = 11

5 0

3 years ago

Read 2 more answers