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AnnyKZ [126]
2 years ago
13

There are 8 cups of pasta in 22 servings. Write a proportion that gives the number x of cups of pasta in 3 servings.

Mathematics
1 answer:
Lisa [10]2 years ago
6 0

Answer:

Step-by-step explanation:

Cups: servings

8 : 22  :: x : 3

Product of means = product of extremes

22*x = 3*8

   x = \dfrac{3*8}{22}=\dfrac{3*4}{11}=\dfrac{12}{11}=1\dfrac{1}{11}

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The solutions of a quadratic equation are ​-4,9 Write a related quadratic function in factored form.
Yuri [45]

Answer:

y = (x + 4)(x - 9)

Step-by-step explanation:

x = {-4, 9}

y = (x + 4)(x - 9)

3 0
3 years ago
Find the inverse of g(x)=1/3x - 7 and then find its domain and range if you can show steps that would be gladly appreciated than
Schach [20]

Answer:

g-1(x) = 3(x + 7).

Domain is All Real values of x.

Range is All Real values of the function.

Step-by-step explanation:

Let y = 1/3 x - 7

1/3 x = y + 7

Multiply both sides by 3:

x = 3(y + 7)

So the inverse of g(x) = g-1(x) = 3(x + 7).

Domain is All Real values of x.

Range is All Real values of the function.

6 0
3 years ago
Use complete sentences to describe the relationship between the two sets A and B If A CB.
ehidna [41]

Answer:

Step-by-step explanation:

6 0
3 years ago
How many years would it take to make $500 interest on a 12000 investment at 3% per year
padilas [110]

Answer:

t=1.4\ years

Step-by-step explanation:

we know that

The simple interest formula is equal to

I=P(rt)

where

I is the Final Interest Value

P is the Principal amount of money to be invested

r is the rate of interest  

t is Number of Time Periods

in this problem we have

t=?\\ P=\$12,000\\ I=\$500\\r=3\%=3/100=0.03

substitute in the formula above

500=12,000(0.03t)

solve for t

500=360t

t=500/360

t=1.4\ years

7 0
3 years ago
Which of the following pairs represent a function ​
denis23 [38]

Option D: \{(-9,8),(-5,-8),(-7,8),(-6,-8)\} are the ordered pairs represents a function.

Explanation:

Given that the options of the set of ordered pairs.

We need to determine the ordered pairs that represents a function.

Option A: \{(-12,8),(-15,8),(-5,-8),(-12,-8)\}

A relation is said to be a function if each element of x is related to exactly one element in y.

From this set of ordered pairs, it is obvious that the element -12 of x is related to two different element in y.

Thus, the ordered pairs \{(-12,8),(-15,8),(-5,-8),(-12,-8)\} is not a function.

Hence, Option A is not the correct answer.

Option B: \{(8,-9),(-8,-5),(8,-7),(-8,-6)\}

From this set of ordered pairs, it is obvious that the elements -8 and 8 of x are related to two different element in y.

Thus, the ordered pairs \{(8,-9),(-8,-5),(8,-7),(-8,-6)\} is not a function.

Hence, Option B is not the correct answer.

Option C: \{(13,-3),(13,0),(13,-1),(13,-1)\}

From this set of ordered pairs, it is obvious that the element 13 of x is related to three different element in y.

Thus, the ordered pairs \{(13,-3),(13,0),(13,-1),(13,-1)\} is not a function.

Hence, Option C is not the correct answer.

Option D: \{(-9,8),(-5,-8),(-7,8),(-6,-8)\}

A relation is said to be a function if each element of x is related to exactly one element in y.

From this set of ordered pairs, it is obvious that the each element of x is related exactly one element in y.

Thus, the ordered pairs \{(-9,8),(-5,-8),(-7,8),(-6,-8)\} is a function.

Hence, Option D is the correct answer.

7 0
3 years ago
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