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Yakvenalex [24]
2 years ago
5

Ayden is Buyingbagel for a family Gathering. Each bagel cost $2.00 Answer the question Regarding the relationship between the to

tal cost and the number of bagels purchased. The independent variable represents the Total cost Number of bagels purchased $2 F(x)=2x
Mathematics
1 answer:
Feliz [49]2 years ago
8 0

Answer:

$4

Step-by-step explanation:

Step one:

given data

Each bagel cost $2.00

Also, the cost function is given as

F(x)=2x

Step two:

Required

The total cost of bagels purchased

From the cost function, we can see already that Ayden Bought 2 Bagel, hence if one bagel cost $2 then

F(x)=2(2)\\\\F(x)=4

The two bagels will cost $4

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Let's make an equation where x is the number of gallons and y will be the overall price.

2.5x=y; since it is $2.52 PER gallon, you need to multiply the amount of gallons by the cost. In this case, it is 4.

2.5(4)=10

So, the price of 4 gallons is $10.

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aleksandr82 [10.1K]

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Plz help ill give u brainlist plz asap
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Base area = 6 ( 1/2 x 6 x 5.2) = 93.6 cm²

Volume = base area x height = 93.6 x 17 = 1591.2cm ³

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3 years ago
What is an exact solution for <br><img src="https://tex.z-dn.net/?f=m%20%5Csqrt%7B14%7D%20" id="TexFormula1" title="m \sqrt{14}
AlexFokin [52]

Answer: Choice B)  \sqrt{14}

We have some value m and we're squaring it to get m^2

To undo this and isolate m, we apply the square root to both sides

m^2 = 14\\\\\sqrt{m^2} = \sqrt{14}\\\\|m| = \sqrt{14}\\\\m = \sqrt{14} \text{ or } m = -\sqrt{14}

There are two solutions here. This is similar to how there are two solutions in something like x^2 = 25 (those two solutions being x = 5 and x = -5). Squaring any negative number leads to a positive result because

negative times negative = positive.

8 0
2 years ago
<img src="https://tex.z-dn.net/?f=4%20%20%20%7B%7D%5E%7Bx%20%7D%20%20%2B%206%20%7B%7D%5E%7Bx%7D%20%3D%209%20%7B%7D%5E%7Bx%7D%20%
Nookie1986 [14]

So, the value of x is 1.19

The question is an exponential equation

<h3>What is an exponential equation?</h3>

An exponential equation is a mathematical expression between two quantities in which one variable is raised to a power of the other variable.

<h3>How to find x?</h3>

Since 4^{x} + 6^{x} = 9^{x},

Dividing through by 4ˣ, we have

\frac{4^{x} }{4^{x} } + \frac{6^{x} }{4^{x} }  = \frac{9^{x} }{4^{x} } \\1 + (\frac{6}{4})^{x} }  = (\frac{9}{4})^{x} } \\1 + (\frac{3}{2})^{x} }  = (\frac{3^{2} }{2^{2} })^{x} } \\1 + (\frac{3}{2})^{x} }  = (\frac{3}{2})^{2x} }

Let y = (3/2)ˣ

So,

1 + y = y²

y² - y - 1 = 0

Using the quadratic formula to find y,

y = \frac{-b +/- \sqrt{b^{2} - 4ac} }{2a}

where a = 1 b = -1 and c = -1

Substituting the values of the variables into the equation, we have

y = \frac{-(-1) +/- \sqrt{(-1)^{2} - 4\times 1 \times (-1)} }{2\times 1}\\= \frac{1 +/- \sqrt{1 + 4} }{2}\\= \frac{1 +/- \sqrt{5} }{2}\\= \frac{1 - \sqrt{5} }{2} or  \frac{1 + \sqrt{5} }{2}\\= \frac{1 - 2.236}{2} or  \frac{1 + 2.236}{2}\\= \frac{- 1.236}{2} or  \frac{3.236}{2}\\= -0.618 or 1.618

Since y = (3/2)ˣ

Takung logarithm of both sides, we have

㏒y = ㏒(3/2)ˣ

㏒y = x㏒(3/2)

x = ㏒y/㏒(3/2)

x = ㏒y/㏒1.5

Since we do not have logarithm of a negative number, we use y = 1.618.

So, x = ㏒y/㏒1.5

x = ㏒1.618/㏒1.5

x = 0.2090/0.1761

x = 1.19

So, the value of x is 1.19

Learn more about exponential equation here:

brainly.com/question/11832081

#SPJ1

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