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3 years ago

Given 7x2 + 3y2 - 42x + 6y - 39 < 0, which graph represents the inequality?

Mathematics

2 answers:

motikmotik3 years ago

7 0

Answer:

Step-by-step explanation:

Calculated using Desmos calculator

Edg 2020

Serga [27]3 years ago

6 0

Answer:

Step-by-step explanation:

cause it is

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Solve x - 3 1/8 = 5/12

Anna007 [38]

Answer:

$\large\boxed{x=\dfrac{85}{24}=3\dfrac{13}{24}}$

Step-by-step explanation:

Convert the mixed number to the fraction:

$3\dfrac{1}{8}=\dfrac{3\cdot8+1}{8}=\dfrac{25}{8}$

METHOD 1:

$x-3\dfrac{1}{8}=\dfrac{5}{12}\\\\x-\dfrac{25}{8}=\dfrac{5}{12}\\\\\text{the common denominator is 24}\\\\x-\dfrac{25}{8}=\dfrac{5}{12}\qquad\text{multiply both sides by 24}\\\\24x-(3)(25)=(2)(5)\\\\24x-75=10\qquad\text{add 75 to both sides}\\\\24x=85\qquad\text{divide both sides by 24}\\\\\boxed{x=\dfrac{85}{24}}$

METHOD 2:

$x-3\dfrac{1}{8}=\dfrac{5}{12}\qquad\text{add}\ 3\dfrac{1}{8}\ \text{to oboth sides}\\\\x=\dfrac{5}{12}+3\dfrac{1}{8}\\\\x=\dfrac{5\cdot2}{12\cdot2}+3\dfrac{1\cdot3}{8\cdot3}\\\\x=\dfrac{10}{24}+3\dfrac{3}{24}\\\\x=3\dfrac{10+3}{24}\\\\\boxed{x=3\dfrac{13}{24}}$

7 0

3 years ago

Evaluate P(4,4) <br> Please help me with this asap. It is timed

sweet-ann [11.9K]

Answer:

6 is the answer

:0 HOPE IT HELPED

7 0

3 years ago

At the state fair, admission at the gate is 10. In addition, the cost of each ride is 4. Suppose that Josh will go on x rides. J

Sauron [17]

Answer:

t ≤ 4x + 10

Step-by-step explanation:

The amount of money that Josh spends on rides is the variable T, found in the problem. Josh wants to spend AT MOST t. That means he can spend as little as he wants, but he can't ride too many times so that the cost goes over T. Therefore, it has to be less than. But, it can also be equal to, as he can ride exactly many rides up to T, it just can't go over it.

Next, the cost to get into the fair is ten dollars, meaning if he goes on only one ride, that will cost him 4 dollars, but actually will have cost him 14 dollars because of the entrance fee. So, no matter how many rides he goes on, there is always the entrance fee added on.

Finally, the cost for each ride is 4 dollars per ride or 4 times x with x being the number of rides he goes on.

So, for our answer, we have t ≤ 4x + 10!

3 0

2 years ago

A local bagel shop produces two products: bagels (B) and croissants (C). Each bagel requires 6 ounces of flour, 1 gram of yeast,

KengaRu [80]

Answer:

see below

Step-by-step explanation:

If we let X represent the number of bagels produced, and Y the number of croissants, then we want ...

(a) Max Profit = 20X +30Y

(b) Subject to ...

6X +3Y ≤ 6600 . . . . . . available flour

X + Y ≤ 1400 . . . . . . . . available yeast

2X +4Y ≤ 4800 . . . . . . available sugar

_____

Production of 400 bagels and 1000 croissants will produce a maximum profit of $380.

In the attached graph, we have shaded the areas that are NOT part of the solution set. (X and Y less than 0 are also not part of the solution set, but are left unshaded.) This approach can sometimes make the solution space easier to understand, since it is white.

The vertex of the solution space that moves the profit function farthest from the origin is the one we are seeking. The point that does that is (X, Y) = (400, 1000).

4 0

3 years ago

A company charges a $12 fee to make a house call plus an hourly rate for labor. If the total bill for a job that takes 2.5 hours

Ilia_Sergeevich [38]

$95.75 = 12 + 2.5r
I’m 100% sure of this.

7 0

3 years ago