How do you write this y-1=-2/5x +11/5 in standard form?

model the scenario with an inequality statement. Shirts are $12 each and Mary has no more than $48 to spend. How many shirts can

aksik [14]

Answer:

12 x ≤ 48

Step-by-step explanation:

This inequality must have two sides, one that shows the expenditure Mary will do in function on the number of shirts (x) and other that shows the maximum money she can spend (48).

Her expenditure will depend on the shirts purchased (x) and as each shirt costs $12 the expenditure will be 12x. So, this expenditure MUST be equal or less to the maximum she can pay: $48.

The inequality will be:

12 x ≤ 48

This is the first of the options posted. From the others, none of them work.

3 0

3 years ago

An 8 ounce mug requires 0.3 cup of hot cocoa mix. How much hot cocoa mix is needed for a 12 ounce mug?

8090 [49]

Answer:

0.45

Step-by-step explanation:

Step 1:

$\frac{8}{0.3} =\frac{12}{x}$

Step 2:

8 · x = 0.3 · 12

8x = 3.6

Last Step: Divide both sides by 8 to isolate the value x

3 0

3 years ago

Which choice is equivalent to the expression below when y2 0?<br> √y^2 + √16y^3 – 4y√y

DanielleElmas [232]

Answer:

Option C.

Step-by-step explanation:

We start with the expression:

$\sqrt{y^3} + \sqrt{16*y^3} - 4*y\sqrt{y}$

where y > 0. (this allow us to have y inside a square root, so we don't mess with complex numbers)

We want to find the equivalent expression to this one.

Here, we can do the next two simplifications:

$\sqrt{16*y^3} = \sqrt{16} \sqrt{y^3} = 4*\sqrt{y^3}$

And:

$y*\sqrt{y} = \sqrt{y^2} *\sqrt{y} = \sqrt{y^2*y} = \sqrt{y^3}$

If we apply these two to our initial expression, we can rewrite it as:

$\sqrt{y^3} + \sqrt{16*y^3} - 4*y\sqrt{y}$

$\sqrt{y^3} + 4*\sqrt{y^3} - 4\sqrt{y^3} = \sqrt{y^3}$

Here we can use the second simplification again, to rewrite:

$\sqrt{y^3} = y*\sqrt{y}$

So, concluding, we have:

$\sqrt{y^3} + \sqrt{16*y^3} - 4*y\sqrt{y} = y*\sqrt{y}$

Then the correct option is C.

8 0

3 years ago

Formula in the form y=mx+b models the value, y, of a new car x years after the initial purchase in 2010. Would you expect b to b

Tom [10]

Answer:

positive

Step-by-step explanation:

The equation of a line modeling the price of a car over the years from its initial purchase is to be a line with negative slope "m" due to the fact that the price of the car drops with the years, but for sure the price at the time of purchase (which is the zero in the horizontal x-axis) should be the largest value the car would have (the purchase price) This is actually the y-intercept "b", clearly a positive number.

4 0

3 years ago

II. Let f(x) = 9 – x , g(x) = x2 + x, and h(x) = x – 2. Compute the following:

Neko [114]

Answer:

$h(g(x))=x^2+x-2$