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Akimi4 [234]
3 years ago
7

Help please thank you!

Mathematics
2 answers:
ozzi3 years ago
8 0
4x^2 + 16x-2= 5x
Minus 16x over

4x2-2= -11x

Add 11x over

4x^2 +11x -2

Use quadratic formula x= 2.9
I’m not sure here. I tried my best. Hope it helps!
Ede4ka [16]3 years ago
6 0

Answer:

x_1=-2.9\\x_2=0.2

Step-by-step explanation:

The first step is to move the 5x to the left side of the equation and then add the like terms:

4x^2+16x-2=5x\\\\4x^2+16x-2-5x=0\\\\4x^2+11x-2=0

Now we can apply the Quadratic formula. This is:

x=\frac{-b\±\sqrt{b^2-4ac}}{2a}

In this case we can identify that:

a=4\\b=11\\c=-2

Finally, we must substitute these values into the Quadratic formula. Then we get:

x=\frac{-11\±\sqrt{(11)^2-4(4)(-2)}}{2(4)}

x_1=-2.9\\x_2=0.2

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Suppose that you draw two cards from a deck. After drawing the first card, you do not put the first card back in the deck. What
S_A_V [24]

Answer:

(B) 0.0588

Step-by-step explanation:

The probability is calculated as a division between the number of possibilities that satisfy a condition and the number of total possibilities. Then, the probability that the first card is diamonds is:

P_1=\frac{13}{52}

Because the deck has 52 cards and 13 of them are diamonds.

Then, if the first card was diamonds, the probability that the second card is also diamond is:

P_2=\frac{12}{51}

Because now, we just have 51 cards and 12 of them are diamonds.

Therefore, the probability that both cards are diamonds is calculated as a multiplication between P_1 and P_2. This is:

P=\frac{13}{52}*\frac{12}{51}=\frac{1}{17}=0.0588

8 0
3 years ago
A rancher has 200 feet of fencing to enclose two adjacent corrals
Arturiano [62]

Answer:

a) Each corral should be 33⅓ ft long and 25 ft wide

b) The total enclosed area is 1666⅔ ft²

Step-by-step explanation:

I assume that the corrals have identical dimensions and are to be fenced as in the diagram below

Let x = one dimension of a corral

and y = the other dimension

 

(a) Dimensions to maximize the area

The total length of fencing used is:

4x + 3y = 200

4x = 200 – 3y

x = 50 - ¾y

The area of one corral is A = xy, so the area of the two corrals is

A = 2xy

Substitute the value of x

A = 2(50 - ¾y)y

A = 100 y – (³/₂)y²

This is the equation for a downward-pointing parabola:

A = (-³/₂)y² + 100y

a = -³/₂; b = 100; c = 0

The vertex (maximum) occurs at  

y = -b/(2a)  = 100 ÷ (2׳/₂) = 100 ÷ 3 = 33⅓ ft  

4x + 3y = 100

Substitute the value of y

4x + 3(33⅓) = 200

4x + 100 = 200

4x = 100  

x = 25 ft

Each corral should measure 33⅓ ft long and 25 ft wide.

Step 2. Calculate the total enclosed area

The enclosed area is 50 ft long and 33⅓ ft wide.

A = lw = 50 × 100/3 = 5000/3 = 1666⅔ ft²

6 0
3 years ago
How much time has passed from the first clock to the second clock?
bonufazy [111]

Answer:

Step-by-step explanation:

Time for first clock is 8:34

Time for second clock is 11:48

subtract them: 11 hrs. 48 min.

                      - 8 hrs. 34 min.

                      _____________

                        3 hrs. 14 min.

4 0
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Yesterday,Bethany sent 60 text messages. she said 15 percent of those messages were to her best friend. How many texts messages
dimulka [17.4K]

Answer:

9

Step-by-step explanation:

We have to multiply 60 by 15%

15% = \frac{15}{100} = 0.15, hence

number of text = 60 × 0.15 = 9


7 0
3 years ago
Read 2 more answers
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