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3 years ago

Graph the function g(x) =x^2+4x+1

Mathematics

1 answer:

gladu [14]3 years ago

6 0

Answer:

Step-by-step explanation:

Let's "complete the square," which will give us the vertex of this vertical, opens-up parabola:

g(x) =x^2+4x+1 can be rewritten as g(x) =x^2+4x + 4 - 4 +1, where that +4 comes from squaring half of the coefficient of x.

Then we have g(x) =x^2+4x + 4 - 4 + 1 => g(x) = (x + 2)^2 - 3.

Comparing this to y = (x - h)^2 + k,

we see that the vertex, (h, k), is located at (-2, -3).

Plot this vertex. Also, plot the y-intercept (0, g(0) ), which is (0, 1).

This information is enough to permit graphing the function roughly.

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3 years ago

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The manufacturer of computers spends $500 to make each computer and sells them for 800. The manufacturer also has fixed costs ea

ryzh [129]

Answer:

C(x) = 5700 + 500x

Step-by-step explanation:

Total cost = fixed cost + variable cost

Fixed cost are cost that do not change in the process of production such as machineries, furnitures & fittings.

Variable cost are cost that changes with production such as cost of raw material, cost of labor.

From the question:

Fixed cost= $5,700

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If x number of computers are produced in a month

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Where,

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4 years ago

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WIll MARK BRAINLIEST IF ANSWER IN 2 MINUTES!!!! Which represents the equation 6 x + 3 y = 12 when solved for y? y = negative 2 x

KiRa [710]

Answer:

y=-2x+4

Step-by-step explanation:

6x+3y=12

3y=-6x+12

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4 years ago

What is the answer to –(d+1)>3

aleksandrvk [35]

Answer:

−(d+1)>3

Step 1: Simplify both sides of the inequality.

−d−1>3

Step 2: Add 1 to both sides.

−d−1+1>3+1

−d>4

Step 3: Divide both sides by -1.

$\frac{-d}{-1}$ > $\frac{4}{-1}$

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3 years ago

A company has a policy of retiring company cars; this policy looks at number of miles driven, purpose of trips, style of car and

vredina [299]

Answer:

2.35%

Step-by-step explanation:

Mean number of months (M) = 39 months

Standard deviation (S) = 10 months

According to the 68-95-99.7 rule, 95% of the data is comprised within two standard deviations of the mean (39-20 to 39+20 months), while 99.7% of the data is comprised within two standard deviations of the mean (39-30 to 39+30 months).

Therefore, the percentage of cars still in service from 59 to 69 months is:

$P_{59\ to\ 69}=\frac{P_{9\ to\ 69}-P_{19\ to\ 59}}{2} \\P_{59\ to\ 69}=\frac{99.7-95}{2}\\P_{59\ to\ 69}=2.35\%$

The approximate percentage of cars that remain in service between 59 and 69 months is 2.35%.

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3 years ago