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pochemuha
3 years ago
13

I need help with this?

Mathematics
1 answer:
kogti [31]3 years ago
8 0

Answer:

<em>y = 3( </em>0.5^{x}<em> ) </em>

Step-by-step explanation:

Exponential function has the form f(x) = k b^{x} where b > 0 and b ≠ 1

~~~~~~

3 = k × b^{0} ⇒ k = 3

1.5 = 3( b^{1} ) ⇒ b = 0.5

Thus, <em>y = 3( </em>0.5^{x}<em> )</em>

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Karen is saving money to buy a game . So far he saved $15 , which is three fourths . How much does the game cost ?
mina [271]

Answer:

$25

Step-by-step explanation:

Let X = total cost of game

         (3/5) X = $15

Multiply both sides of equation by 5/3

  (5/3)(3/5) X = (5/3) $15

                  X = $25

cost of game is $25

8 0
3 years ago
A pair of sunglasses cost $26 during the summer sale. If
Marta_Voda [28]

Answer:2.18$

Step-by-step explanation: 26 + 7% tax is 27.82 so 30 - 27.82 = 2.18$

7 0
3 years ago
What is the slope of the line that passes through (3, −7) and (−1, 1)? (1 point)
ELEN [110]

Answer:

The slope of the line is -2

Step-by-step explanation:

<em>The rule of the slope of a line is</em>:

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}  , where

(x_{1},y_{1}) and (x_{2},y_{2}) are two points on the line

<em>Let us find the slope using the rule above</em>

∵ The line passes through points (3, -7) and (-1 , 1)

∴ x_{1} = 3 and  x_{2} = -1

∴ y_{1} = -7 and  y_{2} = 1

<em>Substitute these values in the rule above to find m</em>

∴ m=\frac{1--7}{-1-3}=\frac{1+7}{-4}=\frac{8}{-4}=-2

∴ The slope of the line that passes through the given points is -2

8 0
4 years ago
Mark uses 10 cups of apple juice and 16 cups of orange juice to make fruit punch. Deon uses an equivalent ratio of apple juice t
Lostsunrise [7]

Given that,

No of cups of Apple juice = 10

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Solution,

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R=\dfrac{10}{16} ....(1)

For equivalent fraction, multiply both numerator and denominator by 2 such that,

R=\dfrac{10\times 2}{16\times 2}\\\\=\dfrac{20}{32}

Dividing both numerator and denominator 2 such that,

R=\dfrac{10/2}{16/2}\\\\=\dfrac{5}{8}

So, the required ratio is 5/8.

4 0
3 years ago
In the equation, y = 0.007x, how many inches of rain falls in 6 minutes?<br>​
djverab [1.8K]

Answer:

X represents the value you can multiply with the slope to get the answer.

y = 0.007x

  = 0.007(6)

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Therefore, 0.042 inches of rain falls in 6 minutes.

7 0
3 years ago
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