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3 years ago

Select all of the following that are ordered pairs of the given function.

Mathematics

1 answer:

podryga [215]3 years ago

6 0

Answer:

(-1, 5)

(0, 3)

(2, -1)

Step-by-step explanation:

we have

$f(x)=3-2x$

Remember that

If a ordered pair is a solution of the given function, then the ordered pair must satisfy the given function

<u><em>Verify each case</em></u>

case a) (-2, -1)

substitute the value of x and the value of y in the given function and compare the result

$-1=3-2(-2)$

$-1=7$ ---> is not true

therefore

Is not a ordered pair of the given function

case b) (-1, 5)

substitute the value of x and the value of y in the given function and compare the result

$5=3-2(-1)$

$5=5$ ---> is true

therefore

Is a ordered pair of the given function

case c) (0, 3)

substitute the value of x and the value of y in the given function and compare the result

$3=3-2(0)$

$3=3$ ---> is true

therefore

Is a ordered pair of the given function

case d) (1,0)

substitute the value of x and the value of y in the given function and compare the result

$0=3-2(1)$

$0=1$ ---> is not true

therefore

Is not a ordered pair of the given function

case e) (2, -1)

substitute the value of x and the value of y in the given function and compare the result

$-1=3-2(2)$

$-1=-1$ ---> is true

therefore

Is a ordered pair of the given function

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3 years ago

Honey's blueberry muffin recipe calls for 3 1/4 pounds of blueberries and 2 1/2 cups of muffin mix. How many cups of muffin mix

astra-53 [7]

For this case we convert the mixed numbers to improper fractions: $3 \frac {1} {4} = \frac {4 * 3 + 1} {4} = \frac {12 + 1} {4} = \frac {13} {4}\\2 \frac {1} {2} = \frac {2 * 2 + 1} {2} = \frac {4 + 1} {2} = \frac {5} {2}$

Now, we propose a rule of three:

$\frac {13} {4}$ pounds of blueberries -------------> $\frac {5} {2}$ cups of muffin mix

7 pounds of blueberries -----------------------------> x

Where the variable "x" represents the number of cups of muffin mix that Honey should use.

$x = \frac {7 * \frac {5} {2}} {\frac {13} {4}}\\x = \frac {\frac {35} {2}} {\frac {13} {4}}\\x = \frac {35 * 4} {2 * 13}\\x = \frac {140} {26}\\x = \frac {70} {13}\\x = 5.38$