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4 years ago

Ramona has a new job as a chef. She earns the same

Mathematics

1 answer:

DaniilM [7]4 years ago

3 0

Answer:

y = 10x + 100

Step-by-step explanation:

Given the information:

She earns the same amount per hour as she did in her old job $ 100 sign-on bonus

=> the equation for line p in the form y= mx where:

x is the number of hour she worked

y the money she earned

=> the equation for line q in the form y= mx + 100 ($ 100 sign-on bonus )

From that, we see that the two equations have the same slope or you can use a transformation to map line p onto line q

We can create two points (0, 0) and (2, 20) are on line p

<=> m = $\frac{y2-y1}{x2-x1} = \frac{20-0}{2-0} = 10$

The equation for line p is y = 10x

=>The equation for line q should include the hourly earnings at the

new job plus the sign-on bonus. The equation is y = 10x + 100

Hope it will find you well.

You might be interested in

Find the four rational numbers and irrational numbers between 2/5 and 5/6

Savatey [412]

The four?

Of course there are an infinite number of rationals between any two different real numbers, as well as an even bigger infinite number of irrationals.

The average will be between the numbers:

$\frac 1 2 (\frac 2 5 + \frac 5 6) = \dfrac{37}{60}$

That's a lot of work to get a number in between. We can just see

$\frac 1 2$
is between the two numbers.

The mediant, or freshman addition, will always be in between:

$\dfrac{2 + 5}{5 + 6} = \dfrac{7}{11}$

2/5=.4 and 5/6 is about .83, so

$.6 = \frac{6}{10}$

is in between as is .7, .41, .530940394 and as many rationals as we care to generate.

To get irrationals we could just add a teeny irrational to the ones we just generated, like $\frac{6}{10} + \frac{\pi}{100}$

We could just change that denominator a bit and get as many as we like.

But let's get some square roots. The geometric mean will be between

$\sqrt{ \dfrac 2 5 \cdot \dfrac 5 6 } = \dfrac{1}{\sqrt{3}}
$

That's the tangent from one of trig's biggest cliches, but I digress. It's in between.

While we're on trig cliches,

$\dfrac{1}{\sqrt{2}}$

is in between as well.

Keeping with the trig theme, also in between are

$\dfrac{\pi} 6$

and

$\dfrac{\pi}{4}$

the angles associated with the some of the above trig function values.

We could obviously go on as long as we cared to.

7 0

3 years ago

Favorite subject quick

kobusy [5.1K]

Answer:

Math

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

!!! HELP ME !!!

antoniya [11.8K]

Answer:

DHGB

Step-by-step explanation:

Let's start with 1.

The equation is in standard form (ax+by=c): -4x+2y=8

we'll put it into slope intercept form.

Add 4x onto both sides

2y=4x+8

divide by 2

y=2x+4

Parallel lines have the same slope, but a different y intercept. (the line parallel to this one will have a slope of 2 but a y intercept different from +4)

Looking at the answer choices, the only choice with a slope of 2 is D (y=2x-5)

So the answer to 1 is D

Now 2.

we're given 3 points. One of the points crosses the y axis, which is the y intercept. In this case, the line crosses the point (0,3)

That means the y intercept of the line is (0,3)

here's the line so far:

y=mx+3 (m is a placeholder for the slope)

when given a graph, we can use rise/run. Starting from the point (3,2), we can move 3 spaces to the left, and one up.

In a graph, if you move to the left or downwards, it's a negative move. If you move up or to the right, it's a positive move.

Since we went 1 space up (rise) and 3 spaces to the left, (run) the slope is -1/3

So the line is y=-1/3x+3

Perpendicular lines are negative and reciprocal. If you multiply their slopes, they will equal -1. Their y intercepts don't matter at all.

So to find the slope, we can use this equation.

-1/3m=-1

multiply by -3 on both sides

m=3

Looking at the answer choices, H is the only answer with a slope of 3. So the answer to 2 is H.

Now, 3

You can do the graph method like above for 2, but I'll just calculate the slope.

We're given two points, (-1,-2) and (0,2)

the formula for slope is (y2-y1)/(x2-x1)

we can label the points.

x1=-1

y1=-2

x2=0

y2=2

now, substitute into the equation.

m=(2--2)/(0--1)

m=4/1

the slope is 4.

Now let's use point slope form, which is y-y1=m(x-x1)

once again, sub. into the equation.

y+2=4(x+1)

do distributive prop

y+2=4x+4

subtract by 2

y=4x+2

As said above, parallel lines have the same slope.

Looking at the answer options, G also has the slope of 4

so the answer to 3 is G

Finally, #4

Equation: 3x+y=1

subtract 3x from both sides

y=-3x+1

As said above, perpendicular lines have slopes that multiply to equal -1.

-3m=-1

multiply by -1/3

m=1/3

so the slope of the line will be 1/3.

Looking at the answer options, B also has a slope of 1/3.

So the answer to 4 is B

The code is DHGB

Hope this helps!

4 0

3 years ago

Li believes that the graph shows a direct variation. On a coordinate plane, a line goes through points (0, 1) and (2, 0). Why is

MissTica

Answer

B) When the x-value is 0, and the y-value is 1

Step-by-step explanation:

Edge

3 0

3 years ago

Read 2 more answers

Which unit would you need fewer of to measure a tree?

NemiM [27]

Answer:

You would need fewer the unit kilometer (km) to measure a tree.

Explanation:

In the internet you can find that the greatest height of a tree is aobut 115 meters.

Thus, you would never expect to find a tree measuring kilometers or miles.

If you used kilometers as unit, the measure of the tallest tree woul be about 0.115 km (115 meter divided by 1,000).

Most of the trees meausre in the range of 1 to 20 meters. That would be 0.001 km to 0.020 km.

Thus, kilometer is not a unit that you would need to measure a tree. You'd rather use centimeters, when the tree is small, and meters for most of the trees. You may also use feet, since 1 meter is about 3.28 feet, or even yards, since 1 yard is equal to 3 feet.

4 0

3 years ago