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3 years ago

PLEASE HELP ME!

1 answer:

4 0

Given the linear equation, -x + 2y = 6, we can set y = 0 to find the x-intercept.

The x-intercept is the point on the graph where it crosses the x-axis, and has coordinates of (a, 0), where a = x-intercept.

-x + 2y = 6
-x + 2(0) = 6
- x + 0 = 6
-x = 6

Divide both sides by -1 to isolate x:
-x/-1 = 6/-1

x = -6

Therefore, the x-intercept is (-6, 0), where its x-coordinate, a = -6.

Next, in order to solve for the y-intercept, set x = 0.

The y-intercept is the point on the graph where it crosses the y-axis, and has coordinates of (0, b), where b = y-intercept.

-x + 2y = 6
-(0) + 2y = 6
0 + 2y = 6
2y = 6

Divide both sides by 2 to isolate y:

2y/2 = 6/2

y = 3

Therefore, the y-intercept is (0, 3), where its y-coordinate, b = 3.

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Step-by-step explanation:

This was picked because if u divide 18 by 3. You get 6 and if u multiply it by 2. You get 12 plus the 18 equals 30.

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4 years ago

R over 10 + 7 = 8<br> please help? two step equations

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Take away the zero. Add 7 to 1 and u get 8. The reason u would take away 0 because u don’t count it in this problem.

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3 years ago

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3 years ago

X ^ 2 + 4x - 7 = 0<br><br> Solve using the Quadratic Formula

aalyn [17]

There's a special case of the quadratic formula called the Shakespeare Quadratic Formula (2b or -2b) that applies when the linear coefficient is even.

$x^2-2Bx + C \textrm{ has zeros }x = B \pm\sqrt{B^2 - C}$

If you're planning on solving a lot of quadratic equations quickly, it's good to know.

Here we have

$x^2 + 4x - 7 = 0$

$x = -2 \pm \sqrt{2^2 - -7}$

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8 0

3 years ago

Three friends met for a book club at a coffee shop, each friend ordered a cup of coffee and two donuts. the total of the order w

4vir4ik [10]

Answer:

$Cost\ of\ donut=\frac{49}{24}\approx \$2.042\\\\cost\ of\ donuts=\frac{49}{4}\approx \$12.25$

Step-by-step explanation:

$Let\ cost\ of\ coffee=y\\\\cost\ of\ one\ donut=x\\\\Each\ friend\ buy\ one\ coffee\ and\ two\ donuts\\\\Amount\ for\ 1\ friend=Cost\ of\ coffee+2\times cost\ of\ donut\\\\Amount\ for\ 1\ friend=y+2x\\\\Amount\ required\ for\ 3\ friend=3\times Amount\ for\ 1\ friend\\\\Amount\ required\ for\ 3\ friend=3\times (y+2x)\\\\Amount\ required\ for\ 3\ friend=3y+6x\\\\Total\ bill=\$ 22\\\\3y+2x=22\\\\Given\ cost\ of\ coffee=\$3.25\\\\y=\$3.25$

$Hence\ solution\ of\ following\ system\ of\ equation\ will\ give\ cost\ of\ donut:\\\\3y+6x=22\\\\y=3.25\\\\\\Substitute\ y=3.25\ in\ first\ equation\\\\3\times 3.25+6x=22\\\\9.75+6x=22\\\\6x=22-9.75\\\\6x=12.25\\\\x=\frac{12.25}{6}\\\\x=\frac{49}{24}\approx \$2.042\\\\Cost\ of\ donut=\frac{49}{24}\approx \$2.042$

See attached diagram.

$Each\ friend\ takes\ 2\ donuts\\\\Total\ donuts=Number\ of\ friends\times 2\\\\Total\ donuts=3\times 2=6\\\\cost\ of\ donuts=number\ of\ donuts\times cost\ of\ 1\ donut\\\\cost\ of\ donuts=6\times \frac{49}{24}\\\\cost\ of\ donuts=\frac{49}{4}\approx \$12.25$

5 0

3 years ago