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masha68 [24]
3 years ago
8

The depth, d , in inches of the water in a tidal pool, is modeled by the function d=−2x2+12x+7, where x is the number of hours s

ince noon.
Mathematics
1 answer:
blsea [12.9K]3 years ago
6 0

Answer: 23x

Step-by-step explanation:

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Penelope determined the solutions of the quadratic function by completing the square. F(x) = 4x2 8x 1 –1 = 4x2 8x –1 = 4(x2 2x)
Ymorist [56]

By solving the quadratic equation using completing the square method we got that Penelope should have added 4 to both sides instead of adding 1.

<h3>What is quadratic equation ?</h3>

Any equation of the form ax^2+bx+c=0 where x is variable and a, b, and c are any real numbers where a ≠ 0 is called quadratic equation .

Given work of Penelope is

$$\begin{aligned}&f(x)=4 x^{2}+8 x+1 \\&-1=4 x^{2}+8 x \\&-1=4\left(x^{2}+2 x\right) \\&-1+1=4\left(x^{2}+2 x+1\right) \\&0=4(x+2)^{2} \\&0=(x+2)^{2} \\&0=x+2 \\&-2=x\end{aligned}$$

Now we can see that Penelope determined the solutions of the quadratic function by completing the square. so he must have been done as following

$$\begin{aligned}&f(x)=4 x^{2}+8 x+1 \\&-1=4 x^{2}+8 x \\&-1=4\left(x^{2}+2 x\right) \\&-1+4=4\left(x^{2}+2 x+1\right) \\&3=4(x+2)^{2} \\&\frac{3}{4} =x+2)^{2} \\&\frac{\pm\sqrt3}{2} =x+2 \\&\frac{-2\pm\sqrt3}{2} =x\end{aligned}$$

By solving the quadratic equation using completing the square method we got that Penelope should have added 4 to both sides instead of adding 1.

To learn more about quadratic equations visit : brainly.com/question/1214333

8 0
2 years ago
8. Daren and Josh are pretty good free throw shooters. Daren makes 75% of the
BaLLatris [955]

Answer:

B) Approximately normal, with mean -0.05 and standard deviation 0.083

Step-by-step explanation:

The correct answer is (B). The shape is approximately normal since the expected number of makes and misses for both Daren and Josh are all greater than 10.

5 0
2 years ago
Please help I'm not able to solve this I have tried so many times and the answers I have gotten are all wrong. Please help!! If
goblinko [34]

Answer:

The diameter will be given by 50 cm ÷ 3.142 = 15.9134 cm

The radius will be 15.9134 ÷2 = 7.9567 cm or about 7.96 cm

The area of a circle is given by \pi × square of radius

Area = 3.142 × 7.96×7.96 = 199.0821 square cm

7 0
3 years ago
Read 2 more answers
One seal weights 22 pounds.Another seal weighs three thins. As much how much do the seals weigh altogether
ExtremeBDS [4]

Answer:

88 lbs

Step-by-step explanation:

22+22(3)=88

3 0
3 years ago
Judy is selling small candles at the fair for $4 each and large candles for $6 each. She collected $144 selling a total of 28 ca
Pepsi [2]

Answer:

Number of small candles = 12

Number of large candles = 16

Step-by-step explanation:

Total candles = 28

x + y = 28 ---------------(I)

Cost of 'x' small candles = 4 *x = 4x

Cost of 'y' large candles = 6 *y = 6y

Total amount = $144

4x + 6y = 144 -------------(II)

Multiply equation (I) by (-4) and then add the equation. So, x will be eliminated and we can find the value of 'y'

(I) * (-4)            -4x - 4y = -112

(II)                  <u>  4x  + 6y = 144</u>              {Now, add}

                               2y = 32

                                y = 32/2

y = 16

Plug in y = 16 in equation (I)

x + 16 = 28

       x = 28 - 16

x = 12

4 0
2 years ago
Read 2 more answers
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