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Kamila [148]
3 years ago
7

What is the average rate of change y - 3 = -12 (x + 4)​​

Mathematics
2 answers:
mote1985 [20]3 years ago
7 0

Answer:

-\frac{3}{10}

Step-by-step explanation:

The average rate of change of a function f ( x )  over the interval  [ a , b ]  is

=\frac{f(b)-f(a)}{b-a}

f(x)=\frac{3}{x-2}

and [a,b]=[4,7]

f(b)=f(7)=\frac{3}{7-2}=\frac{3}{5}

f(b)=f(4)=\frac{3}{4-2}=\frac{3}{2}

The rate of change is

=\frac{f(b)-f(a)}{b-a}

=\frac{\frac{3}{3} -\frac{3}{2} }{7-4}

=-\frac{9}{10} *\frac{1}{3} =-\frac{3}{10}

vagabundo [1.1K]3 years ago
4 0

Answer:

- 12x

Step-by-step explanation:

y - 3 =  - 12(x + 4) \\ y - 3 =  - 12x - 48 \\ y =  - 12x - 45

Thr answer is the slope.

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Are the ratios 84/105 and 128/160 proportional? Give two different reasons to support your answer.
Karolina [17]

We have been given two ratios and we are supposed to compare our ratios whether they are proportional or not.

1. We will reduce our fractions to compare our ratios. Let us simplify each of our given fractions.

\frac{84}{105}

Let us divide numerator and denominator with greatest common factor. We can see that 21 is GCF of our ratio.

\frac{4}{5}

Now we will simplify our second ratio.

\frac{128}{160}

GCF of our fraction is 32. Upon dividing our fraction by 32 we will get,

\frac{4}{5}

We can see that our both ratios are similar.

2. Now we will find decimal values of our fractions.

\frac{84}{105}=0.8

\frac{128}{160}=0.8

We can see that 0.8=0.8.

Therefore, we can say that our ratios are proportional.

4 0
4 years ago
Match each statement to it’s corresponding reason. Drake the items on the left to the correct location on the right PLEASE AND T
andreyandreev [35.5K]

Answer:

Step-by-step explanation:

1) \angle AED and \angle BEC are vertical angles

2) \angle AED and \angle BEC are created by intersecting lines (definition of vertical angles)

3) \angle AED and \angle AEB form a linear pair, \angle AEB and \angle BEC form a linear pair

4)  \angle AED and \angle AEB are supplementary, \angle AEB and \angle BEC are supplementary

5) \angle AED \cong \angle BEC

6 0
2 years ago
6. Use synthetic division to completely factor y = x3 + 2x2 – 5x - 6 by x + 1.
navik [9.2K]

Answer:

y = (x + 1)(x + 3)(x - 2)

Step-by-step explanation:

attached

3 0
3 years ago
Evaluate the function with the given the given value of x.<br><br> f(x)=x-7 when x= -2
aivan3 [116]
I hope this helps you


x= -2



f (-2)= -2-7


f (-2)= -9
8 0
3 years ago
When Mr. Peters drives from Boston to Worcester it takes him 30 minutes travelling at a speed of 60 miles per hour. Mrs. Peters
pochemuha
Since the problem is requesting the answer in minutes, we are going to convert the speed of Mr. Peter to miles per minutes; to do that, we are going to multiply his speed by the multiplier \frac{60min}{1h}:
60 \frac{miles}{h} * \frac{1h}{60min} =1 \frac{mile}{min}

Now, to find the distance from Boston to Worcester, we are going to use the distance formula: d=vt
where
d is the distance
v is the speed
t is the time 

We know that the speed of Mr. Peter is 1 \frac{mile}{min} and his time is 30 minutes. Lets replace those values in our formula:
d=1 \frac{mile}{min} *30min
d=30miles

Now, lets concentrate on Mr. Peter clone, Mr. P:
Lets convert the speed of Mr. P to miles per minute:
\frac{90miles}{h} * \frac{1h}{60min} =1.5 \frac{miles}{min}
We also know that they will cover the same distance, 30 miles. Lets replace the values in our formula one more time to find t:
d=vt
30miles= 1.5\frac{miles}{min} *t
t= \frac{30miles}{1.5\frac{miles}{min}}
t=20min
But since Mr. P <span>leaves 5 minutes after Mr. Peters, we need to add those 5 minutes to M. P's time:
</span>t=20min+5min
t=25min

We can conclude that Mr. P will arrive first, 5 minutes before Mr. Peter.
4 0
3 years ago
Read 2 more answers
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