Which is the best approximation for the solution of the system of equations?

Mathematics

1 answer:

SpyIntel [72]2 years ago

5 0

Answer:

(0.88, 0,65)

Step-by-step explanation:

what do we have to do ? I assume we need to find the crossing point between the 2 lines.

when looking at the graphic, we can already rule out the first, third and fourth option.

none of the coordinates of that point is larger than 1 in any direction or smaller than 0.5.

so, just by looking at things I immediately "bet" on answer option 2 (0.88, 0.65).

but let's check.

y = -2x/5 + 1

y = 3x - 2

for the crossing point both functions must produce the same functional value.

-2x/5 + 1 = 3x - 2

-2x/5 + 5/5 = 15x/5 - 10/5

-2x + 5 = 15x - 10

15 = 17x

x = 15/17 = 0.88...

y = 3×0.88... -2 = 0.65...

hurray, our original observation and "suspicion" is confirmed.

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Andre received $60 for his birthday and put it in his piggy bank. Each week, he put 3 more dollars in the bank. The amount of mo

Dahasolnce [82]

Answer:

96 (dollars)

Step-by-step explanation:

D represents the amount of money Andre has in his bank after w weeks. This formula is written as D(w) = 3w + 60 (dollars).

After 12 weeks, Andre will have accumulated D(12) = 3(12) + 60 dollars, or

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3 0

3 years ago

What is the area of this figure?

KatRina [158]

Hi!

I have attached 2 images that should help you understand :)

First, look at the edits I made to the image you posted. I separated the shape into smaller shapes so that we can find the area of each individual one.

Let's start with the rectangle.

To find the area of a rectangle, multiply the width times the height.
10 · 4 = 40

Rectangle = 40cm

Next up, the red triangles.

I have included another image showing the triangles combined into rectangles. So we can find the area of the triangles just like we would rectangles!

(let me know if you don't understand how I found the width + height of the triangles)

5 · 10 = 50

Red triangles = 50cm

And finally, the green triangles.

8 · 7 = 56

Green triangles = 56cm

Add it all together and you get...

40 + 50 + 56 = 146

The answer to the question is 146cm.

Next time you are having trouble with something like this, picture the triangles as rectangles! :)