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3 years ago

On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and curves up and increases in quadrant 1.

Mathematics

1 answer:

shepuryov [24]3 years ago

7 0

Answer:

The domain of the function i.e. the value of x can be any real number and the range of the function is y > 0.

Step-by-step explanation:

On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and curves up and increases in quadrant 1.

Therefore, as x tends to - ∞, the y-value tends to 0 but not equal to zero and as x tends to +∞, the y-value also tends to +∞.

Hence, the domain of the function i.e. the value of x can be any real number and the range of the function is y > 0. (Answer)

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Brooke and two friends went to the movies and spent a total of $42. The movie tickets were $5 each and they each bought a popcor

Gemiola [76]

$16 for one popcorn combo.

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3 years ago

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4. Which of the following describes a proportional relationship?

Papessa [141]

Answer:

G. Heather rented a hotel for $110 a night plus $18 a night for valet parking

Step-by-step explanation:

A proportional relationship is one that has a constant ratio between two variables

y/x = Constant

From the given options, the one with a proportional relationship is option G.

The amount at which Heather rented a hotel = $110

The amount he pays for valet parking = $18

The total amount Heather pays a night = $110 + $18 = $128

The amount she pays for 2 nights = 2 × $128 = $256

Therefore, we have;

$\begin{array}{cc}x&y\\1&128\\2&256\\3&384\end{array}$

From which we get;

y/x = 128/1 = 256/2 = 128 = Constant.

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3 years ago

Sequence Problem Below

VMariaS [17]

Answer:

$\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\la\la\la\la\ddddddddddddddddddddddddddddddddcleverdddddd\ffffffffffffffffffffffffffffffffffffffff\pppppppppppppppppppppppppppppppppppp\dddddd \displaystyle \Large \boldsymbol{} t_1=\boxed{5} \\\\d=\boxed{-4} \\\\t_n=\boxed{9-4n}$

Step-by-step explanation:

$\displaystyle\large \boldsymbol{Rule: t_n=S_{n}-S_{n-1}} \\\\\\S_n=7n-2n^2 \ \ \ \ then \\\\\Longrightarrow S_{n-1}=7(n-1)-2(n-1)^2 =7n-7-2n^2+4n-2 \\\\then \\\\\\S_{n}-S_{n-1}=7n\!\!\!\!\!\!\diagup-2n^2\!\!\!\!\!\!\diagup-7n\!\!\!\!\!\!\diagup+7+2n^2\!\!\!\!\!\!\diagup-4n+2=9-4n \\\\t_n=9-4n => t_1=5\\\\d=t_2-t_{1}=1-5=-4$

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3 years ago

.55 of a box of chocolate are dark chocolate,0.3 are milk chocolate and the rest are white chocolate. There are 138 pieces more

lyudmila [28]

Answer: there were 345 pieces of chocolate in the box.

Step-by-step explanation:

Let x represent the number of pieces of chocolate there in the box.

0.55 of a box of chocolate are dark chocolate. This means that the number of dark chocolate in the box is 0.55x

0.3 are milk chocolate. This means that the number of milk chocolate in the box is 0.3x

The rest are white chocolate. This means that the number of white chocolate in the box is x(1 - 0.55 - 0.3) = 0.15x

There are 138 pieces more dark chocolate than white chocolate. This means that

0.55x - 0.15x = 138

0.4x = 138

x = 138/0.4

x = 345

3 0

4 years ago

y=x^2-8x+6 complete the square to determine the vertex and maximum or minimum value. Determine the number of x-intercepts.

Irina18 [472]

Answer:

Below in bold.

Step-by-step explanation:

y = x^2-8x+6

y = (x - 4)^2 - 16 + 6

y = (x - 4)^2 - 10

So the vertex is at (4, -10)

The coefficient of x^2 of this function is 1 ( positive) so there will be a minimum value.

Minimum value = -10.

x-intercepts:

(x - 4)^2 - 10 = 0

(x - 4)^2 = 10

x - 4 = +/- √10

x = 4 +/- √10

- therefore there are 2 x-intercepts.

6 0

2 years ago