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Alexandra [31]
3 years ago
12

Solve using substitution.

Mathematics
1 answer:
alexandr1967 [171]3 years ago
8 0
You take the first equation and make a value for y. So 6x + y =7 change it to :
y = -6x + 7
Now in the second equation replace the “y” with -6x +7 this is what it means to use substitution method . Your combined equation will now be :
8x + 9(-6x + 7) =17
Now do distributive property and you get :
8x + -54x +63 =17
Now combine like terms ;
-46x +63 =17
-46x =-46
x = 1
Now replace 1 for X value and we can get the value of Y .
Y=1
X=1
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Which of the following is the graph of y = sin(0.5x)?
Alexeev081 [22]
You did not include the graphs, but I can explain how the graph is and so you can recognize it.


1) for x = 0, y = sin(0) = 0, so the  origin (0,0) is part of the graph.


2) The range of the function is the interval [-1, 1]. This is, y is from -1 to 1, and the graph oscilates (is a wave) between those minimum and maximum.


3) The periodicity, P, of the function is such that 0.5P = 2π = > P = 4π


That means that the values repeat every 4π interval (which is the same that 720°)


4) The zeroes of the function are 2π * n, where n is any whole number (negative, zero or positive).


That means that the function crosses the x-axis at

..., -6π, -4π, 2π, 0, 2π, 4π , 6π, ...


5) It is an odd function (which means that f(x) = sin(0.5x) = - f(-x) = - sin(-0.5x).


Now you have plenty information to identify the graph.

I also include a graph of the function in the attached pdf file.
Download pdf
5 0
3 years ago
Read 2 more answers
The total water usage for a city is 500,000 gallons each day. Of that total, 19% is for personal use and 42% is for industrial u
OleMash [197]

Ok. So we are going to multiply 500,000 and .19

Personal use: 500,000*.19=95,000

Industrial use: 500,000*.42=210,000

In this work, it shows that there is more used for industrial use than for personal use.

But none the less. We are going to subtract this. 210,000-95,000=115,000. 115,000 more gallons are used for industrial use than for personal use.

I hope this helps, if you have any other questions on this or any other question, just ask. I am here to help you as needed.

4 0
3 years ago
Can someone check my answer? also tell me what property I used.
Semmy [17]
It is not having a definite property it is a way commonly used with algebraic expressions
26 = 8 + x (here, we put x instead of the number we don't know)
you can take 8 to the other side with 26 but it will be minus instead of plus
26 - 8 = ×
18 = x
6 0
3 years ago
Consider this quote: "In a recent survey, 65 out of 100 consumers reported that they preferred plastic bags instead of paper bag
Evgen [1.6K]

Answer:

Step-by-step explanation:

The p value (probability of obtaining results as extreme the z score if null is true) is usually the value derived to make a conclusion and in this case the p value is 0.03

The level of significance is the value usually compared with the p value which is 0.05

The sample promotion is 65 out of 100 = 65/100 = 0.65

The sample size is the total number of consumers which is 100

The null value is usually the default value. The null value would assume that there is no difference in the proportions who prefer each type in the population. There are two preferences: 100/2 = 50- 0.5 for each preference.

4 0
3 years ago
Please answer the question above
blagie [28]
Take 12500-11625, which is 875.

Divide 875 by the original price, 12500, to get 0.07.

Multiply 0.07 by 100.

Your answer should be a 7% reduction.
5 0
3 years ago
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