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Igoryamba
2 years ago
15

Question 6

Mathematics
1 answer:
Tema [17]2 years ago
7 0

Answer:

Actual volume = 40 cm^3.

Step-by-step explanation:

15% = 0.15 as a decimal fraction.

Let the actual volume be x cm^3, then we have the equation:

x + 0.15x = 46

1.15x = 46

x   = 46 / 1.15  

    = 40 cm^3.

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AnnZ [28]

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6 0
3 years ago
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
I need help ASAP . Brainlist will be given !!
dolphi86 [110]

Answer:

5,4 and 4,4

Step-by-step explanation:

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3 years ago
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seraphim [82]
It’s D, 10.7

8 - (4.7 x (-1)) - 2 = 10.7
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3 years ago
Dominic's water jug holds 1.25 quarts. Terrell says he can find the capacity of the jug in fluid ounces by dividing 1.25 by 32.
maks197457 [2]
Yes,because there are 32 fl oz in a quart, so Terrell is correct.
7 0
3 years ago
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