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2 years ago

Let f(x) = 4x+3 and g(x) = -2x +5. Find (f o g)(5)

Mathematics

1 answer:

Sergio [31]2 years ago

8 0

G(5) = -2(5) + 5 = -5

(f o g)(5) = f(-5) = -20 + 3 = -17 (answer)

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Encuentra la ecuacion de la parabola con vertice en el origen y foco en las cordenadas 0,1en su forma ordinaria y general

marusya05 [52]

Answer:

$x^{2}=4y$

$y=\frac{1}{4}x^{2}$

Step-by-step explanation:

Forma ordinaria

La ecuación de la parabola de manera ordinaria está dada por:

$(x-h)^{2}=4p(y-k)$ (1)

Donde:

(h,k) es la coordenda del vértice, en nuestro caso (0,0) ya que está en el origen.
(h,k+p) es la coordenda del foco, en nuestro caso (0,1).

Por lo tanto h = 0, k = 0 y p = 1.

Remplazando estos valores en la ecuación de la parábola, tenemos:

$(x-0)^{2}=4*1(y-0)$

$x^{2}=4y$ (2)

Forma general

La forma general de una parábola esta dada por la siquiente ecuación

$y=ax^{2}+bx+c$

Reordenando la ecuación (2) tenemos:

$y=\frac{1}{4}x^{2}$

Espero esto te haya ayudado!

5 0

2 years ago

- 11/5 -2.4 1.6 15/10 - 2.25 in order from least to greatest

tatuchka [14]

Answer (least to greatest):

-2.4
-2.25
-11/5
15/10
1.6

I hope this helps!

8 0

2 years ago

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Experiments on learning in animals sometimes measure how long it takes mice to find their way through a maze. The mean time is 1

Dahasolnce [82]

Answer:

<h3>Option c) $H_a:\mu$ is correct</h3><h3>The alternate hypothesis for the significance test is $H_a:\mu$ </h3>

Step-by-step explanation:

The alternate hypothesis use the sumbol for the population value

Let p be the proportion , Mean be $\mu$ and stadard deviation be $\sigma$

The null hypothesis states that population value is equal to the value mentioned in the given claim.

$H_0:\mu=18$ (by given).

The alternate hypothesis for the significance test states that the opposite of the null hypothesis(based on the claim )

∴ $H_a:\mu$

The symbol "<" because we want to test if the maze is completed faster and thus if the time has decreased.

<h3>∴ option c) $H_a:\mu$ is correct.</h3>

3 0

2 years ago

PLEASEE HELP FASTT Water flowed out of a tank at a steady rate. A total of 18 and one-half gallons flowed out of the tank in 4 a

Eddi Din [679]

Answer:

The answer would be D, 37/2 divided by 17/4

Explanation:

I did the test.

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2 years ago

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A race is 1 2/3 miles long. If you just run half of the race, how long far have you run?

brilliants [131]

You would run 2.5/3 miles or .833 miles

7 0

3 years ago