Find f(6) if f(x) = x2 ÷ 3 + x

Answers

Answer 1
Answer: 10, because 6(2) is 12 then you divide that by 3 which is four to which you add 6. therefore the answer is 10.

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How do you compute the intercepts of a quadratic function?

Answers

-- The x-intercepts, if any, are the points where y=0.
Set y=0 and solve what you have left for 'x'.

-- The y-intercepts, if any, are the points where x=0.
Set x=0 and solve what you have left for y.

19 is 30% of what number

Answers

19\ \rightarrow\ 30\%\nx\ \rightarrow\ 100\%\n\nx= (19\cdot100\%)/(30\%) \n\nx= (190)/(3)\ \ \ \Rightarrow\ \ \ x=63 (1)/(3)
19 = 30% x ?
19 = 0.3 x ?
19 ÷ 0.3 = 63, 1/3

What is X? 3(4x−3)= -4+7

Answers

x = 1

Step-by-step explanation:

3(4x - 3) =  - 4 + 7

Expand:

3(4x - 3) = 12x - 9 \n 12x - 9 =  - 4 + 7

Simplify:Addvalues

12x - 9 = 3

Collect like terms and simplify

12x = 3 + 9 \n 12x = 12

Divide both sides of the equation by12

(12x)/(12)  =  (12)/(12)

Simplify

x = 1

Answer:

x = 1

Step-by-step explanation:

Original Equation:

3(4x - 3) = -4 + 7

Use the distributive property.

3 x 4x = 12x

3 x -3 = -9

Equation:

12x - 9 = -4 + 7

Add 4 to both sides.

12x - 5 = 7

Add 5 to both sides.

12x = 12

Divide both sides by 12

x = 1

Hope I helped :)

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What is the meaning of 5 < x > 7 ?

Answers

the meaning of 57 is that 5 and 7 are both equal to x

Mr. Ishimoto ordered x new math books and y new workbooks for his class. The total weight of the box of books cannot be more than 50 pounds. If each math book weighs 3.2 pounds and each workbook weighs 0.8 pounds, which inequality represents the maximum number of each type of book that can be shipped in a single box?

Answers

Answer:

3.2x + 0.8y ≤ 50

Step-by-step explanation:

Mr. Ishimoto ordered math books and workbooks for his class.

Weight of each math book = 3.2 pounds

number of math books ordered = x

so, total weight of math books = 3.2x

Weight of each workbook = 0.8 pounds

number of workbooks ordered = y

so, total weight of workbooks = 0.8y

Since the total weight of the box of books cannot be more than 50 pounds, the equation would be

3.2x + 0.8y ≤ 50

Answer: B

Step-by-step explanation:

Soccer balls go on sale for $7.50 each. The store also sells footballs and the manager wants to earn a daily profit of $400 from both items. The equation y=-4x^2+80x-150 models the store’s daily profit, y, for selling footballs at x dollars. Explain how to find the price per football needed to meet the goal.

Answers

Answer:

The price for footballs is $5.46 and $14.54.

Step-by-step explanation:

Using the information that we have about the soccer ball prices, we can find out their daily profit to see how much the footballs daily profit should be. Plugging in 7.50 into the equation, we get 232.5 as their daily profit. To find what the footballs daily profit should be, we must minus 232.5 from 400. This ends up with 167.5

Now to find the price of the footballs, we must plug 167.5 into the equation and use the quadratic formula to find the prices.

Hope this helps : )

Answer:

At $7.50 per soccer ball, they earn a daily profit of $232.50.

The store needs to earn a daily profit of $400 – $232.50 = $167.50 from footballs.

Solve 167.50 = –4x2 + 80x – 150 to find the price for footballs: x = $5.46 and $14.54.