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3 years ago

Karl makes 7 1/2 batches of cookies using 1 1/2 dozen eggs. Suppose Karl only

Mathematics

1 answer:

vredina [299]3 years ago

5 0

Answer:

$5\ batches\ of\ cookies$

Step-by-step explanation:

we know that

Karl makes 7 1/2 batches of cookies using 1 1/2 dozen eggs

so using proportion

Find out how many batches of cookies could he make with a dozen eggs

step 1

Convert mixed numbers to an improper fraction

$7\frac{1}{2}=\frac{7*2+1}{2}=\frac{15}{2}$

$1\frac{1}{2}=\frac{1*2+1}{2}=\frac{3}{2}$

step 2

Applying proportion

Let

x ----> the amount of batches of cookies

$\frac{(15/2)}{(3/2)}\frac{batches}{dozen\ eggs}=\frac{x}{1}\frac{batches}{dozen\ eggs}\\\\x=\frac{15}{3}\\\\x=5\ batches\ of\ cookies$

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Which of the following functions is graphed below.

Valentin [98]

Answer: Option A

$y=\left \{ {{x^2 +2;\ \ x$

Step-by-step explanation:

In the graph we have a piecewise function composed of a parabola and a line.

The parabola has the vertex in the point (0, 2) and cuts the y-axis in y = 2.

The equation of this parabola is $y = x ^ 2 +2$

Then we have an equation line $y = -x + 2
$

Note that the interval in which the parabola is defined is from -∞ to x = 1. Note that the parabola does not include the point x = 1 because it is marked with an empty circle " о ."

(this is $x< 1$ )

Then the equation of the line goes from x = 1 to ∞ . In this case, the line includes x = 1 because the point at the end of the line is represented by a full circle .

(this is $x\geq 1$ )

Then the function is:

$y=\left \{ {{x^2 +2;\ \ x$

7 0

3 years ago

Adam jogs at an average speed of 10km/h from his house to the airport. The airport is 7km away from his house. At what time must

mote1985 [20]

Answer:

6:38am

Step-by-step explanation:

From the question we are told that

Average speed $V_{avg}=10km/h$

Distance traveled $d=7km$

Generally the velocity across a distance is mathematically given given as $V=d/t$

$10=\frac{7}{t}$

$t=0.7h\\t=42minutes$

Therefore

7:20-42 minutes =6:38am

8 0

2 years ago

What is the slope in the equation: y= 3/4x - 1

Basile [38]

Answer: the slope is 3/4.

y=mx+b and m is always the slope.

3 0

3 years ago

Read 2 more answers

What's the answer

SVEN [57.7K]

a) We kindly invite to check the image attached below to see a detailed graph of the piecewise function.

b) The piecewise function is continuous.

<h3>How to understand a piecewise function</h3>

A piecewise function is a conditional combination of two or more functions, whose expression depends on which value of the domain is the function evaluated at.

a) The piecewise function described in the question is plotted on a graphing tool (i.e. Desmos), whose result is presented in the image attached below.

b) A function is continuous if and only if there is one value from range for every value of domain. The piecewise function is continuous as linear functions are continuous and the two functions of the conditional combination have the same value for x = 30.

To learn more on piecewise functions: brainly.com/question/12561612

#SPJ1

7 0

2 years ago

nika2105 [10]

Answer:

B. {–3, 5.9, 8.3}

Step-by-step explanation:

The domain is the set of all the values of

x .The range is the set of all the values of y .

Domain: { 3.2 , 7.6 , 1.4 , − 9.1 }

Range: { − 3 , 5.9 , 8.3 }

Answer:

range is -3, 5.9 , 8.3

Step-by-step explanation:

{(3.2, –3), (7.6, 5.9), (1.4, –3), (–9.1, 8.3)}

We are given with set of ordered pairs (x,y)

In each ordered pair, x is the domain and y is the range

for domain , take all the x values (first number) from the ordered pairs

for range, take all the y value (second number) from the ordered pairs

y values of the ordered pairs are -3, 5.9, -3, 8.3

So range is -3, 5.9 , 8.3

3 0

3 years ago