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3 years ago

2.

Mathematics

1 answer:

victus00 [196]3 years ago

7 0

Answer:

With a vertex (h, k) at (0, 3) and given that a = -3, then the equation of this parabola in vertex form is as follows:

y = a(x - h)2 + k

y = -3(x - 0)2 + 3

y = -3x2 + 3

Step-by-step explanation:

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One pretzel has 20 calories. Write an algebraic expression for the total number of calories in n pretzels.

vredina [299]

Answer:

20n

Step-by-step explanation:

One pretzel has 20 calories. Write an algebraic expression for the total number of calories in n pretzels.

1 pretzel = 20 calories

n pretzel = x

Cross Multiply

x × 1 pretzel = n pretzel × 20 calories

x = n pretzel × 20 calories/1 pretzel

x = 20 n

Therefore, an algebraic expression for the total number of calories in n pretzels = 20n

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3 years ago

5. There are 4200 bacteria in a lab dish. The population decreases 8%per day. How many bacteria are there after day 1? Round to

Mamont248 [21]

Answer:There are 4200 bacteria in a lab dish. The population decreases 8%per day. How many bacteria are there after day 1? Round to nearest whole number

Step-by-step explanation:

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2 years ago

Simplify the expression

AlexFokin [52]

Answer:

Step-by-step explanation:

$\frac{3+4\iota}{2+4\iota}=\frac{3+4 \iota}{2+4\iota} \times \frac{2-4 \iota}{2-4 \iota}\\=\frac{6 -12 \iota+8 \iota-16 \iota^2 }{4-16 \iota^2 }\\=\frac{ 6-4 \iota+16}{4+16}\\=\frac{22-4 \iota}{20}$

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3 years ago

1. Which of the following is the x-coordinate of the solution to the system shown below?

astra-53 [7]

Answer:

x=9

Step-by-step explanation:

Using elimination method.

Add equation 1 to equation 2

x + y = 11

x - y = 7

---------------

2x + 0 = 18

Divide both sides by 2

2x = 18

---- ----

2 2

x = 9

3 0

2 years ago

A basketball is thrown with an initial upward velocity of 25 feet per second from a height of 8 feet above the ground. The equat

Studentka2010 [4]

-16t^2 + 25t + 8 = 10

-16t^2 + 25t - 2 = 0

t = 1.48 seconds

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3 years ago