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2 years ago

Which one of the following is an ordered pair? {-3, 5} (2, 4, 0) (0, 6) 1, 3

Mathematics

2 answers:

Gelneren [198K]2 years ago

4 0

The ordered pair is (2,4,0)

Allushta [10]2 years ago

3 0

(0,6)

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

1 year ago

If the length of each edge of the cube shown in the figure is 8 inches, find the following

Mandarinka [93]

That would be 32 inches

4 0

2 years ago

Need help understanding this problem please

faust18 [17]

f(g(x)) is a composite function:

$f(g(x))=f(\sqrt{x+5})=2\sqrt{x+5}-1$

Plug in <em>x</em> = 4:

$f(g(4)) = 2\sqrt{4+5}-1=2\sqrt9-1=2\cdot3-1=\boxed{5}$

so the answer is C.

7 0

2 years ago

What is the value of x in the equation 40(x - 3) = 24x - 48?

pogonyaev

Answer:

x=10.5

Step-by-step explanation:

40x-120=24x-48

40x-168=24x

16x-168=0

16x=168

x=10.5

Have a great day!

6 0

2 years ago

The sum of 4 and 5 is subtracted from one-third of the difference of 40 and 4.

xxTIMURxx [149]

Answer:

Sum of 4 and 5 → 4 + 5 = 9

Difference of 40 and 4 → 40 – 4 = 36

One-third 1/3 of 36 → 12

→ 12 – 9

» 3

3 0

1 year ago

Read 2 more answers