3 years ago

Solve the quadratic equation. Y=1/4(x-2)^2+4

Mathematics

1 answer:

KATRIN_1 [288]3 years ago

8 0

By using the quadratic equation your answer is y = x^2/4 - x + 5

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Write a rule for the nth term of the geometric sequence if r = 1/4 and a3 = 2.

GarryVolchara [31]

Answer:

$a_{n} = 32(\frac{1}{4})^{n-1}$

Step-by-step explanation:

The nth term of a geometric sequence is given by the following equation.

$a_{n+1} = ra_{n}$

In which r is the common ratio.

This can be expanded for the nth term in the following way:

$a_{n} = a_{1}r^{n-1}$

In which $a_{1}$ is the first term.

This means that for example:

$a_{3} = a_{1}r^{3-1}$

$a_{3} = a_{1}r^{2}$

$2 = a_{1}(\frac{1}{4})^{2}$

$2 = \frac{a_{1}}{16}$

$a_{1} = 32$

Then

$a_{n} = 32(\frac{1}{4})^{n-1}$

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3 years ago

Solve −x+5≤4 or 2x+3≥−1. Note: Write the solution in interval notation.

Anastasy [175]

Answer:

[1 , +∞)

Step-by-step explanation:

$-x+5\leq 4\\x\geq 1\\2x+3\geq -1\\x\geq 1\\\\$

8 0

2 years ago

Determine which of the following equations, when graphed, intersect at the point (4, 0). Select all that apply. x - y = 4 -x - y

Elza [17]

Answer: only (x-y=4) and (x+y=4).

Step-by-step explanation:

Notice target point has y=0, so all terms with y are zero. Then all 6 equations reduce to m x = k, for various m and k. So calculate 4×m and compare to k six times.

x - y = 4 4=4 yes

-x - y = 4 -4=4 no

2x - y = 7 8=7 no

x + y = 4 4=4 yes

2x + y = 7 8=7 no

2x + y = -7 8=-7 no.

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What's 25.65 divided by 15

Rasek [7]

25.65 ÷ 15 = 1.71

So, the answer to this problem is 1.17

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3 years ago

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I need to know please help?

UkoKoshka [18]

The correct answer is B.

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2 years ago

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