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2 years ago

Find the domain and range of the function graphed below. Write your answers in interval notation.

Mathematics

1 answer:

Rudik [331]2 years ago

3 0

Answer:

Domain: $[-2, 3)$
Range: $(-5, 4]$
Is the relation a function? - Yes

Step-by-step explanation:

The domain is the set of x-values and the range is the set of y-values.

A relation is a function if each value of x maps onto no more than one value of y.

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Solve the system of equations by substitution y = 2x + 1 and 3x + y = 16

Luden [163]

Answer: y=7,x=3

Steps:

y = 2x + 1

3x + y = 16

Substitute y = 2x + 1

3x + 2x + 1 = 16

Simplify

5x+1=16

Isolate x for 5x + 1 = 16: x = 3

For y = 2x + 1

Substitute x = 3

y = 2 · 3 + 1

Simplify

y = 7

The solutions to the system of equations are:

y = 7, x = 3

Hope This Helps!

6 0

2 years ago

Making coconut cookies. The recipe calls for 420 g of coconut and 120 g of sugar. Only has 252 g of coconut. How much sugar must

geniusboy [140]

Answer: 72 grams.

Step-by-step explanation:

Let be "s" the amount of sugar in grams that must be used for 252 grams of coconut to keep the same ratio of coconut to sugar.

Knowing that in the recipe for the coconut cookies, should be 420 grams of coconut and 120 grams of sugar, and you only have 252 grams of coconut, you can set up this proportion to find "s":

$\frac{420grams}{120grams}=\frac{252grams}{s}$

Now, you need to solve for "s":

$\frac{420grams}{120grams}=\frac{252grams}{s}\\\\s(\frac{420grams}{120grams})=252grams\\\\s=(252grams)(\frac{120grams}{420grams})\\\\s=72grams$

4 0

3 years ago

1) Andrew owns 220 shares of a common stock in a tech company. The tech company recently paid a cash dividend of $2.25 per share

Iteru [2.4K]

Answer:

9.0

Step-by-step explanation:

Took the test

5 0

3 years ago

Find the length of side a.

coldgirl [10]

The length of side A is 194

6 0

2 years ago

Read 2 more answers

A truck uses 1 gallon of diesel for every 12 miles traveled. The amount of diesel left in the gas tank, r gallons, after traveli

Snezhnost [94]

The question has missing details. However, general questions that could be asked is as follows:

(1) The number of miles traveled after using (say) 5 gallons

(2) The number of gallons used after traveling for (say) 36 miles

Answer:

See Explanation

Step-by-step explanation:

Given

$s = 120 - 12r$

A linear equation is represented as:

$y = c + mx$

Where

$c =y\ intercept$ and

$m = slope.$

c, in this question represents the initial capacity of the tank.

So, the initial capacity is 120 liters

Solving (a): r = 5

$s = 120 - 12r$

$s = 120 - 12 * 5$

$s = 120 - 60$

$s = 60$

60 miles traveled

Solving (b): s = 36

$s = 120 - 12r$

$36 = 120 - 2r$

Collect like terms

$2r =120 -36$

$2r =84$

Solve for r

$r = 42$

42 gallons used

4 0

3 years ago