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3 years ago

BRAINLY PLUS 100 points

Mathematics

2 answers:

Nataly_w [17]3 years ago

6 0

Let one number = X and the second number = Y.

The sum of the numbers is 5 so you get X + Y = 5

One number exceeds the other by 11 ( that means the difference of the numbers is 11, so you would have X - Y = 11

Your two equations are:

X + Y = 5

X - Y = 11

Add the equations together:

x +x = 2x

y-y = 0

5+11 = 16

Now you have 2x = 16

Divide both sides by 2:

X = 16/2 = 8

Now you have x = 8, replace x with 8 and solve for Y:

8 + y = 5

Subtract 8 from both sides:

y = 5 - 8 = -3

X = 8, Y = -3

pshichka [43]3 years ago

6 0

Answer and step-by-step explanation:

If we called the first number is x

The second number is y

We are given that:

x + y = 5

x = y + 11

Let put x from (2) into (1), we gotL

x + y = 5

y + 11 + y = 5

2y + 11 = 5

2y = 16

2y = 8

y = 8

Because y = 8 and x + y = 5 so:

x + 8 = 5

x = 5 - 8

x = -3

So x = -3 and y = 8 or x = 8 and y = -3

Hope this helped :3

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The area of this rectangle is given by the quadratic function

Sonja [21]

<em>The function uses W as the variable but the options show only x's as the variable, so I'm asumming W in the answer</em>

Answer:

0 < W < 50

Correct option: A

Step-by-step explanation:

<u>Domain of functions</u>

Some functions have restricted values of the independent variable x. It can be due to mathematical restrictions, like dividing by 0 or taking the square root of a negative number, of it can be due to practical conditions of the situation being modeled.

In this case, the area of a rectangle is given by the quadratic function.

$A=50W - W^2$

Since the area of a rectangle cannot be negative (and should be positive, though it could be zero), the practical domain of A is determined when

$50W - W^2\geq 0$

Taking common factor W

$W(50 - W)\geq 0$

Since W must be positive W>0

$50 - W\geq 0$

Or equivalently

$50 \geq W$

$W \leq 50$

The total interval is

$0 < W$

Correct option: A

Please note: The real restriction should be

$0 < W\leq 50$

if we allowed the area to be positive, but I'm providing the most possible correct available option

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3 years ago

Madeleine earned $36,000 last

shusha [124]

Owed 5920 in taxes

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3 years ago

How do you solve the three forms: Slope Y-intercept form Standard Form Point slope form

Nostrana [21]

Answer:An equation in the slope-intercept form is written as

y=mx+b

Where m is the slope of the line and b is the y-intercept. You can use this equation to write an equation if you know the slope and the y-intercept.

Example

Find the equation of the line

Choose two points that are on the line

Calculate the slope between the two points

m=y2−y1x2−x1=(−1)−33−(−3)=−46=−23

We can find the b-value, the y-intercept, by looking at the graph

picture28

b = 1

We've got a value for m and a value for b. This gives us the linear function

y=−23x+1

In many cases the value of b is not as easily read. In those cases, or if you're uncertain whether the line actually crosses the y-axis in this particular point you can calculate b by solving the equation for b and then substituting x and y with one of your two points.

We can use the example above to illustrate this. We've got the two points (-3, 3) and (3, -1). From these two points we calculated the slope

m=−23

This gives us the equation

y=−23x+b

From this we can solve the equation for b

b=y+23x

And if we put in the values from our first point (-3, 3) we get

b=3+23⋅(−3)=3+(−2)=1

If we put in this value for b in the equation we get

y=−23x+1

which is the same equation as we got when we read the y-intercept from the graph.

To summarize how to write a linear equation using the slope-interception form you

Identify the slope, m. This can be done by calculating the slope between two known points of the line using the slope formula.

Find the y-intercept. This can be done by substituting the slope and the coordinates of a point (x, y) on the line in the slope-intercept formula and then solve for b.

Once you've got both m and b you can just put them in the equation at their respective position.

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3 years ago

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yaroslaw [1]

630

Hope this helps. :D

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3 years ago

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VLD [36.1K]

Answer:

18 cents per ounce

Step-by-step explanation:

The first step is to identify the unit. In this case, you are told you have 16-ounces. Therefore, your unit is an ounce.

To find the price of one ounce, just divide your price of $2.88 by 16.

Unit rate = $2.88 / 16 = 0.18 or 18 cents per ounce.

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