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Natali5045456 [20]
2 years ago
10

What is the value of

%209%7D%20" id="TexFormula1" title=" \sqrt{2 \times 2 \times 2 \times 2 \times 9} " alt=" \sqrt{2 \times 2 \times 2 \times 2 \times 9} " align="absmiddle" class="latex-formula">
​
Mathematics
2 answers:
erma4kov [3.2K]2 years ago
8 0

Answer:

2*2*2*2*9=144

√144

=12

lesantik [10]2 years ago
7 0

Step-by-step explanation:

\sqrt{2 \times 2 \times 2 \times 2 \times 9}  \\  \\  =  >  \sqrt{2 \times 2 \times 2 \times 2 \times 3 \times 3}  \\  =  >  \sqrt{4 \times 4 \times 9}  \\ since, \\  \sqrt{4 = 2}  \: and \:  \sqrt{9}  = 3 \\ hence,  \\  \sqrt{4 \times 4 \times 9}  \\  =  > 2 \times 2 \times 3 \\  =  > 4 \times 3  \\  =  > 12

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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
In a​ week, 12 hens laid 60 eggs. What is the unit rate for eggs per​ hen? The unit rate is ______ ​egg(s) per hen
salantis [7]

Answer:

5 eggs per hen is the answee

7 0
3 years ago
Read 2 more answers
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Afina-wow [57]

Answer:

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3 years ago
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Answer:

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The regression equation of a dependent variable based on two or more independent variables is of the form:

Y=b_{0}+b_{1}X_{1} +b_{2}X_{2}+b_{3}X_{1}X_{2}

Here,

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If there is a significant interaction effect present then this implies that the effect of one independent variable (X_{1} orX_{2} ) on the dependent variable (<em>Y</em>) differs every time with different value of the other independent variable  (X_{1} orX_{2} ) .

The provided regression equation is:

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Thus, the correct option is (A).

3 0
3 years ago
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S_A_V [24]

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7 0
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