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3 years ago

Which of the following is 3 units lower than y = 4x2 – 8x + 2, but opens in the same direction and has the same shape?

Mathematics

1 answer:

olga_2 [115]3 years ago

6 0

Simplify the function $y=4x^2-8x+2$ in the following way:

$y=4x^2-8x+2=4x^2-8x+4-4+2=4(x^2-2x+1)-2=4(x-1)^2-2.$

If you have to translate the graph of the function 3 units lower (down), then

$y=4(x-1)^2-2-3=4(x-1)^2-5.$

The graph of obtained function opens in the same direction as the graph of the function $y=4(x-1)^2-2.$

Answer: $y=4(x-1)^2-5.$

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Find the value of x proportions in triangles

Minchanka [31]

Answer:

the question is incomplete

5 0

3 years ago

Jacqui is selling scented candles as a fundraiser for a school field trip. Each cinnamon candle sells for $3.50 and each chocola

AlexFokin [52]

Answer:

Number of cinammon = 12

Number of chocolate = 21

Step-by-step explanation:

Given that:

Cost of Cinnamon candle , c = $3.50

Cost of chocolate candle , d = $2.50

Total amount raised, T = $94.50

d = 2c - 3

Total amount = (cost of Cinnamon * number sold) + (cost of chocolate * number sold)

94.50 = (3.50 * c) + (2.50 * (2c-3))

94.50 = 3.50c + 5c - 7.5

94.50 = 8.50c - 7.5

94.50 + 7.5 = 8.50c

102 = 8.50c

c = 102 / 8.50

c = 12

d = 2c - 3

d = 2(12) - 3

d = 24 - 3

d = 21

3 0

3 years ago

A major credit card company has determined that customers charge between $100 and $1100 per month. If the monthly amount charged

Alexxx [7]

Answer:

a) $E(X) = \frac{a+b}{2} = \frac{100+1100}{2}=600$

b) First we need to calculate the variance given by this formula:

$Var(X) = \frac{(b-a)^2}{12}= \frac{(1100-100)^2}{12} = 83333.33$

And the deviation would be:

$Sd(X) = \sqrt{83333.33}= 288.675$

c) $P(600 < X< 889) = P(X$

And using the cdf we got:

$P(600 < X< 889)= F(889) -F(600) = \frac{889-100}{1000} -\frac{600-100}{1000}= 0.789- 0.5= 0.289$

d) $P(311 < X< 889)= F(889) -F(311) = \frac{889-100}{1000} -\frac{311-100}{1000}= 0.789- 0.211= 0.578$

Step-by-step explanation:

For this case we define the random variable X who represent the customers charge, and the distribution for X on this case is:

$X \sim Unif (a= 100, b=1100)$

Part a

For this case the average is given by the expected value and we can use the following formula:

$E(X) = \frac{a+b}{2} = \frac{100+1100}{2}=600$

Part b

First we need to calculate the variance given by this formula:

$Var(X) = \frac{(b-a)^2}{12}= \frac{(1100-100)^2}{12} = 83333.33$

And the deviation would be:

$Sd(X) = \sqrt{83333.33}= 288.675$

Part c

For this case we want to find the percent between 600 and 889, so we can use the cumulative distribution function given by:

$F(x) = \frac{X -100}{1100-100}= \frac{x-100}{1000}, 100 \leq X \leq 1100$

And we can find this probability:

$P(600 < X< 889) = P(X$

And using the cdf we got:

$P(600 < X< 889)= F(889) -F(600) = \frac{889-100}{1000} -\frac{600-100}{1000}= 0.789- 0.5= 0.289$

Part d

$P(311 < X< 889) = P(X$

And using the cdf we got:

$P(311 < X< 889)= F(889) -F(311) = \frac{889-100}{1000} -\frac{311-100}{1000}= 0.789- 0.211= 0.578$

6 0

3 years ago

Find the area of a regular polygon

Law Incorporation [45]

Answer: Area of the polygon is 43.31 cm^2 t

Step-by-step explanation:

The polygon show in the diagram is a hexagon. It has six sides, since it is a regular hexagon, all the six sides are equal.

From the information given, the apotherm = 5√3

The apotherm is the perpendicular distance from the center of one side of the polygon to the center of the polygon. To determine the area of the polygon,

Area of polygon

=area = a^2n ×tan 180/n

Area = (5√3)^2 tan(180/6)

Area = 5^2×(√3)^2 × tan30

Area = 25×3×0.5774

Area = 43.305

Approximately 43.31 cm^2 to the nearest tenth

7 0

3 years ago

Nancy and Linda go to there favorite restaurant. Nancy has a $5 off coupon to use for her purchase of $30. Linda has a 10% off c

Rasek [7]

Answer:

40 i think i hope i helped

Step-by-step explanation: 30+25=55 10+5=15 15-55=40

3 0

3 years ago