2. Graph 4x + y = 6x-1.

Mathematics

1 answer:

DedPeter [7]3 years ago

7 0

4x + y = 6x - 1

turns into: y = 2x - 1

on a graph, mark a point on (0.5, 0) and (0, -1) to start you off

You might be interested in

The perimeter of a triangle is 510 feet and the sides are in the ratio of 11:16:24. Find the area of the triangle

Nutka1998 [239]

If the sides are in the ratio of 11:16:24, it means that they are all multiples of a same number x, according to these factors.

So, the shorter side is 11x feet long, the middle one is 16x feet long, and the longest side is 24x feet long.

This means that the perimeter is

$11x+16x+24x = 51x$ feet long. But we know that this is 510 feet, so we have

$51x = 510 \implies x = \cfrac{510}{51} = 10$ .

So, the three sides are 110, 160 and 240 feet long.

To find the area of a triangle knowing its three sides, you can use Heron's formula, which states that, if $s$ is half the perimeter of the triangle whose sides are $a,b,c$ , the area $A$ is given by

$A = \sqrt{s(s-a)(s-b)(s-c)}$

In our case, $s = 255, a = 110, b = 160, c = 240$ so the formula becomes

$A = \sqrt{255(255-110)(255-160)(255-240)} = \sqrt{255(145)(95)(15)} = \sqrt{52689375} \approx 7258.74$

5 0

4 years ago

n his pocket, Hamid has $2.95 in dimes and quarters. If there are 16 coins in total, which system represents the number of dimes

N76 [4]

X=dimes y=quarters

0.1x + 0.25y = 2.95
x+y = 16

from the second equation, x = 16 - y and thus 0.1 (16-y) +0.25y = 2.95 ==> y=9. Finally, x + 9 = 16 ==> x=7

7 dimes, 9 quarters

4 0

3 years ago

Read 2 more answers

A beautician sees clients each day to paint full sets of nails. The function g(x) represents the number of finger nails painted,

lions [1.4K]

Yes, the input and output are both possible.

Reason~

Given that the possible solution is (20,20),

Input = x = 20

Output = x = 20

Thus, g(20) = 20, which is clearly possible.

Hope this helps :)