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SashulF [63]
3 years ago
14

Enter the solution (x, y) to the system of equations shown.

Mathematics
1 answer:
timama [110]3 years ago
8 0

Answer:

(0,5) and (1.667,0)

Step-by-step explanation:

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The answer's 22.4. You have to divide 548.8 miles by 24.5 gallons.
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How do I draw a bar diagram to represent 6 times more than $4
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Here is an example of how to do this.. sense $4 x 6 just continue the graph i have already started 

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3 years ago
I need help! 50 points!
o-na [289]

The equation of this sinusoidal function is either

f(x) = a sin(bx) + c

or

f(x) = a cos(bx) + c

Either way, the plot of f9x) has amplitude a, period 2π/b, and midline y = c.

If the period is π/2, then

2π/b = π/2   ⇒   b = 4

If the maximum value is 10 and the minimum value is -4, then

-4 ≤ a sin(4x) + c ≤ 10

-4 - c ≤ a sin(4x) ≤ 10 - c

-(4 + c)/a ≤ sin(4x) ≤ (10 - c)/a

Recall that sin(x) is bounded between -1 and 1. So we must have

-(4 + c)/a = -1   ⇒   a = c + 4

(10 - c)/a = 1   ⇒   a = -c + 10

Combining these equations and eliminating either variable gives

a + a = (c + 4) + (-c + 10)   ⇒   2a = 14   ⇒   a = 7

a - a = (c + 4) - (-c + 10)   ⇒   0 = 2c - 6   ⇒   c = 3

Finally, we have either

f(x) = a sin(bx) + c   ⇒   f(0) = c = 3

or

f(x) = a cos(bx) + c   ⇒   f(0) = a + c = 3

but the cosine case is impossible since a = 7.  

So, the given function has equation

f(x) = 7 sin(4x) + 3

8 0
2 years ago
Which ordered pair is the solution set<br> for 3x + 5y &lt; 10?
matrenka [14]

Answer:

Slope is -3/5

Slope intercept form: y<-3/5x+2

Step-by-step explanation:

Your going to have a shaded region, with a dashed line

the y intercept will be (2)

the x intercept will be (3.333,0)

7 0
3 years ago
What is the gradient of the blue line
Annette [7]

Answer:

4

Step-by-step explanation:

gradient = diffrence in y / diffrence in x

= 4-0/5-4

4

8 0
3 years ago
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