What is -2.32 as a mixed number in simplest form

Let f(x) = -6x + 3 and g(x) = 5x + 4. Find and state its domain. -30x2 - 9x + 12; all real numbers except x = 4 -18x2 - 39x + 20

Vera_Pavlovna [14]

Unsure of whether this is a composite function or not. It does look like you've multiplied f(x) and g(x) together.

Looking at <span>-30x2 - 9x + 12, we see immediately that this is a polynomial function. Because of that, the domain is the set of all real numbers. The graph of this poly opens down, so the max value is at the vertex, x = -b / (2a).

Here a= -6 and b= -9, so this x-value is -(-9) / (2*(-6)), or x = 9/12, or x = 3/4.

By subst. 3/4 for x in the poly., we find that the max y value is 4.83. Thus,the rante is (-infinity, 4.83].</span>

5 0

3 years ago

Help please..........

Tom [10]

Ur graph is increasing (going up)

6 0

3 years ago

What is the equation of the line that is parallel to the given line and has an x-intercept of –3?

Jlenok [28]

You did not include the given line to which your line is parallel to.

Nevertheless, I can explain you how to solve this problem and which the possible solutions are.

1) x-intercept = - 3 = y = 0

The only two equations that include the point (-3,0) are y = x + 3 and y = - x - 3 (you likely forgot to place the negative signs).

You can prove that in this way:

a) y = x + 3
y = 0 => x + 3 = 0 => x = - 3

b) y = - x - 3
y = 0 => - x - 3 = 0 => x = - 3

Then, so far you have two options: y = x + 3 and y = - x - 3.

2) The slope of y = x + 3 is 1 and the slope of y = - x - 3 = - 1 (the coefficient of the x).

3) You know that line whose equation you are determining is parallel to the given line. That means that their slope are the same. So, your next step is to determine the slope of the given line. It shall be either 1 or - 1. Once you have the slope, you will know whether the solution is y = x + 3 or y = - x - 3.

4 0

4 years ago

Solving Inequalities (Will mark as brainliest)

svlad2 [7]

Answer:

1. x ≤ -8

2. y < -8

3. y < -11

4. n > 10

5. n ≤ -2

6. n ≤ 15

7. n ≤ -5

Step-by-step explanation:

Your goal is to get just the variable on one side of the inequality!

For example, take -2y - 4 > 18.

Add 4 to both sides. So... -2y - 4 + (4) > 18 + (4)

Now you get -2y > 22. Since y isn't by itself, let's divide both sides by -2.

So, (-2y / -2) > (22 / -2)

<u>Anytime you're dividing something by a negative, remember to FLIP THE SIGNS.</u> So instead of a greater than, it will now be a less than sign <.

Now you get, y < -11

5 0

3 years ago

Joely's Tea Shop, a store that specializes in tea blends, has available 45 pounds of A grade tea and 70 pounds of B grade tea. T

prisoha [69]

Answer:

Hence, (75,40) is the maximum point and maximum profit is $192.5

Step-by-step explanation:

Let the breakfast be x

And let the lunch or afternoon be y

Inequalities will become

$\frac{1}{3}x+\frac{1}{2}y\leq 45$

$\frac{2}{3}x+\frac{1}{2}y\leq 70$

And objective function will be

Z=1.5x+2.0y

You can see the graph in the attachement

ABCD is the feasible region

Points of feasible region is (0,90) ,(0,0) ,(75,40) and(105,0)

We have to find Z by substituting the points of feasible region

At (0,90) we get

Z=1.5(0)+2(90)

Z=180

At (0,0)

Z=1.5(0)+2(0)

Z=0

At (75,40)

Z=1.5(75)+2(40)

Z=192.5

At (105,0)

Z=1.5(105)+2(0)

Z=157.5

The maximum number we are getting is 192.5 which is at (75,40)

Hence, (75,40) is the point of maximum

4 0

4 years ago