What are the vertex, axis of symmetry, maximum or minimum value, and range of y = 3x2 + 6x − 1?

Mathematics

1 answer:

Basile [38]3 years ago

6 0

Answer: 29

Step-by-step explanation: You have 3+2 that = 5 then you get that 5 and x that by 6 that = 30 then you - 30 from 1 then you have 29

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What is the area of this parallelogram? ___ sq in

ikadub [295]

A=BH

Area=Base*Height

The base is 7 in+6 in which equals 13 inches.

Now were set, 13*45.5

Solve to get the answer 591.5

-Seth

4 0

3 years ago

Read 2 more answers

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

3(m - n + 2) + 6 - m

julia-pushkina [17]

Step-by-step explanation: