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N76 [4]
3 years ago
12

A family is driving at a steady rate on their vacation. The graph shows the relationship between the time and distance from home

. What is the constant of proportionality for this graph?
92 miles per hour
460 miles per hour
46 miles per hour
2/92 miles per hour

Mathematics
2 answers:
Naya [18.7K]3 years ago
8 0

Answer:

46 miles per hour

Step-by-step explanation:

2x46=92

92÷2=46

92-46=46

Lelu [443]3 years ago
4 0

Answer:

46 miles per hour. I think I've haven't had a problem as easy as this so I was overthinking a lot

Step-by-step explanation:

in the graph the line is passing through points (2,92) and the time is going by two's so you just divide to get the constant

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X^2 – 5x + 6 &lt; 0<br> what is the answer
Sophie [7]

Answer:

step 1: x2−5x+6<0

step2: (×-2) (+-3) =0

answer would be: 2<x<3

7 0
3 years ago
When Kimchi is made, it is initially fermented for the first 3 days at a temperature of 70 degrees Fahrenheit and then immediate
svet-max [94.6K]

The given temperatures of 70 °F, 50 °F, and 35 °F, at the given 3, 3, and

6 days give the following step function;

\begin{cases}f(x) = 70^{\circ }  & \text{ if } 0 \leq x \leq 3 \\f(x) = 50^{\circ} & \text{ if } 3 < x \leq 6 \\ f(x) = 35^{\circ }& \text{ if } 6 < x \leq 12 \end{cases}

  • Please find attached the graph of the step function?

<h3>How can the step function be written?</h3>

The temperature at it is fermented in the first three days = 70 °F

From day 3 to 6 the temperature = 50 °F

From day 6 to day 12, the temperature at which it is kept in the freezer = 35 °F

The step function is therefore;

\begin{cases}f(x) = 70^{\circ }  & \text{ if } 0 \leq x \leq 3 \\f(x) = 50^{\circ} & \text{ if } 3 < x \leq 6 \\ f(x) = 35^{\circ }& \text{ if } 6 < x \leq 12 \end{cases}

The graph of the above function created with MS Excel is attached

Learn more about step functions here:

brainly.com/question/2509505

8 0
2 years ago
Write an exponential function in the form y = ab that goes through points (0,19)<br>and (5,4617).​
gtnhenbr [62]

Answer:

y = 1/2 (2)x

     Step-by-step explanation:

Using the equation y = abx , substitute both of your given points into that equation.

2 = ab2 and 4 = ab3   Solve each equation for a.

2⁄b2    and 4⁄b3 = a     Therefore, 2⁄b2 = 4⁄b3

                             

Cross multiply: 2b3 = 4b2     Divide both sides by b2

2b = 4      a = 2/4 = 1/2

b = 2

3 0
3 years ago
Which of the following infinite series has a finite sum? Explain your reasoning.
ikadub [295]

Answer:

d. 20+10+5+2.5+...

Step-by-step explanation:

No geometric series with a common ratio of magnitude greater than 1 will have a finite sum. Nor will any arithmetic series.

Those descriptions exclude answer choices a, b, c. Choice d is a geometric series with a common ratio of 1/2, so will have a finite sum. (It is 40.)

7 0
3 years ago
A bag contains pennies and nickels. You are given the number of pennies in the bag
stira [4]
There are 3 nickels because if you use the ratio 6 to 1 you multiply 6 by 3 to get 18 pennies and you do the same with the one and that’s how I got 3 nickels.
6 0
3 years ago
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