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Grace [21]
3 years ago
5

Which expression is equivalent?

Mathematics
1 answer:
Assoli18 [71]3 years ago
8 0

Answer: last one

Step-by-step explanation:

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Write two point-slope equations for the line passing through the points (6, 5) and (3, 1). Show your work.
NikAS [45]

Answer:

y=-4/3x-3

Step-by-step explanation:

You look for the slope using the the slope formula (m=y2-y1/x2-x1)

You will end up with (m=1-5/3-6)

Simplify to end up with (-4/3) as your slope.

Then, pick a coordinate point. Your choices are (6,5) and (3,1). You will us it to plug into the equation.

I am picking (3,1) The y-value here is 1 and the x-value is 3.

Your equation to find b, or the y-intercept is going to be (1=-4/3(3)+b)

You will have to simplify.

1=-4/3(3)+b

You will multiply -4/3 and -3 and end up with 4 so it looks like...

1=4+b

You subtract 4 on both sides and then end up with....

-3=b

So, the final answer is: y=-4/3x-3

5 0
4 years ago
Read 2 more answers
Emma reached into the bag 10 different times, drew a ball, and recorded the numbers. Here are her results.
n200080 [17]

Answer:

<u>The multiples of 3 are:</u>

  • 6, 9, 9

These the 3 out of 10 results.

<u>The probability of selecting a multiple of 3 is:</u>

  • P = 3/10 as fraction
  •   = 0.3 as decimal
  •   = 30% as percent
3 0
3 years ago
Read 2 more answers
Question 33(Multiple Choice Worth 1 points)
Rudiy27

Question 33

Answer:

f(x) = 40(1.1699)x

Step-by-step explanation:

Using the properties of exponents the term (1.04)^4x can be re-written as;

(1.04^{4})^{x}

The term in the brackets is equivalent to;

1.1699

Thus the function is equivalent to;

f(x)=40(1.1699)^{x}

Question 34

Answer:

x < the quantity negative 2 times b plus 8 all over negative 3; Choice A

Step-by-step explanation:

The first step is to subtract 2b from both sides of the inequality;

-3x > -2b+8

The final step is to divide by -3 to solve for x;

x

Question 35

Answer:

Billion gallons per day, because the independent quantity is time in days and dependent quantity is volume of water in billion gallons; Choice C

Step-by-step explanation:

Time variable in any analysis is considered an independent or predictor variable since time is not influenced by the other variables under study.

In this case, the volume of water is the response or the dependent variable.

Question 36

Answer:

Commutative Property of Addition; Choice B

Step-by-step explanation:

The Commutative Property of Addition simply states that;

a+b=b+a

Question 37

Answer:

F = 9 over 5C + 32; Choice A

Step-by-step explanation:

To solve for F in the expression;

C=\frac{5}{9}(F-32)

We first multiply both sides by 9/5;

\frac{9}{5}C=F-32

The final step is to add 32 to both sides of the equation;

F=\frac{9}{5}C+32

5 0
3 years ago
A group of students estimated the length of one minute without reference to a watch or​ clock, and the times​ (seconds) are list
Anit [1.1K]

Answer:

Step-by-step explanation:

Given that a group of students estimated the length of one minute without reference to a watch or​ clock, and the times​ (seconds) are listed below.

Data set is as ollows:

70 79 38 63 44 23 62 61 67 50 61 70 94 87 65

Mean = 62.27Variance =333.35std dev = 18.258std error = 4.714

H0: mu = 60 sec

Ha: mu not equals 60 sec

Mean diff = 2.27

Mean = 62.27Variance =333.35std dev = 18.258std error = 4.714

Test statistic = 2.27/SE =0.4815

p value =0.6376

Since p>0.05, we accept null hypothesis

i.e. there is statistical evidence to say that students are reasonably good at estimating one​ minute

8 0
3 years ago
Approximately three out of every 25 Americans live in California about three out of every 50 Americans live in New York in about
pickupchik [31]
3 out of 25 = 12 out of 100
3 out of 50 = 6 out of 100
2 out of 25 = 8 out of 100
12 + 6 + 8 = 26
100 - 26 = 74%
4 0
3 years ago
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