MATHEMATICS HIGH SCHOOL

Solve the equation. If necessary, round your answer to the nearest tenth.4x2 = 121

A.
2.75, –2.75

B.
5.5, –5.5

C.
11, –11

D.
30.25, –30.25

Answers

Answer 1
Answer: B: x = 5.5 or -5.5 (square root) -> 2x = 11 (divide by 2) -> x = 5.5 or -5.5
Answer 2
Answer:

Answer:

5.5 or -5.5

Step-by-step explanation:

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PLEASE HELP I'LL GIVE BEAINLIEST!!!!! ​
1 Suppose you choose at random a real number X from the interval [2, 10]. (a) Find the density function f(x) and the probability of an event E for this experiment, where E is a subinterval [a, b] of [2, 10]. (b) From (a), find the probability that X > 5, that 5 < X < 7, and that X2 − 12X + 35 > 0.

Write an expression that represents the volume of a rectangular prism (box) with length 2003-02-02-00-00_files/i0260000.jpg, width 2003-02-02-00-00_files/i0260001.jpg, and height 5x. (For any rectangular prism with length l, width w, and height h, V = lwh.)

Answers

10cm 11cm 8cm 13xm 5cm

Adiya said that the first step to solving the quadratic equation x2 + 6 = 20x by completing the square was to divide 6 by 2, square that value, and add the result to both sides. Is Adiya’s solution method correct? Explain.

Answers

Answer:

No, it is incorrect.

Step-by-step explanation:

The quadratic equation is

x^2+6 = 20x or x^2-20x+6=0. To complete square we take the coefficient of x divided by 2, square that value and add the result to both sides. In the equation given the number to do the process is 20, not 6, then the solution method is incorect.

Answer:

NO it is not correct

Step-by-step explanation:

Adiya’s method is not correct. To form a perfect square trinomial, the constant must be isolated on one side of the equation. Also, the coefficient of the term with an exponent of 1 on the variable is used to find the constant in the perfect square trinomial. Adiya should first get the 20x term on the same side of the equation as x2. Then she would divide 20 by 2, square it, and add 100 to both sides.

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Answers

Answer:

D) 3x-36

Step-by-step explanation:

Multiply using the distributive property

Answer:

-3x-36

Step-by-step explanation:

A bag contains 6 red jelly beans, 4 green jelly beans, and 4blue jelly beans. If we choose a jelly bean, then another jelly bean without putting the first one back in the bag, what is the probability that the first jelly bean will be green and the second will be red?

Answers

The probability of picking a green jelly bean with the first pick is 4/14 = 2/7, because there are 14 jelly bean in total (6 red + 4 green + 4 blue) and 4 of them are green.

If you pick a green jelly bean at the beginning, you have 13 jelly beans remaining, of which 6 are red. So, the probability of picking a red jelly bean is now 6/13.

You want these two events to happen one after the other, to be more precise you want to pick a green jelly bean with the first pick AND a red jelly bean with the second pick. We know the probabilities of the two events, so we have to multiply them to get the probability of them happening both:

(2)/(7)\cdot(6)/(13)=(12)/(91)

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.

For the data in the table does y vary directly with x? If it does write an equation for the direct variation X Y
16 4
32 16
48 36

A)yes; y=2x
B)yes; y=1/4x
C)yes; y=1/8x
D) No; y does not vary directly with x

Answers

Answer:

D) No; y does not vary directly with x.

Step-by-step explanation:

We can affirm that y varies directly with x, that is, that y is directly proportional to x if they fulfill the following condition.

y/x = k

where,

k is a constant number

We have 3 ordered pairs:

a) (16, 4)

b) (32, 16)

c) (48, 36)

If we perform y/x for each ordered pair,

a) 4/16 = 0.25

b) 16/32 = 0.50

c) 36/48 = 0.75

Since y/x is not constant, y does not vary directly with x.
I think the answer is D because when I try to solve them they don't equal each other
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