MATHEMATICS HIGH SCHOOL

What is the solution of this system of linear equations?A. (1, 0)
B. (0,0)
C. (0, 1)
D. X=0
Graph is attached , help quick please
What is the solution of this system of linear equations? - 1

Answers

Answer 1
Answer:

Answer:

The answer is C.

Step-by-step explanation:

Inordertofindthesolutionofthelinearequation,youhavetofindthecoordinateswheretheyintersect.

So according to the graph, both lines intersect at the coordinates of ( 0 , 1 ).

(Correct me if I amwrong)

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Prove the identity
2sin^2x - 1 = sin^2x - cos^2x

Answers

Hello,

sin² x-cos² x=sin² x-(1-sin² x)=2sin² x-1
==============================
From the trigonometric identity: 

cos^(2)x + sin^(2) x=1
Making sin^(2)x the subject we get:
sin^(2)x=1-cos^(2)x
On evaluating the left hand side and replacing sin^(2)x with 1-cos^(2)x;
2(1-cos^(2)x)-1
This gives

=2-2cos^(2)x-1
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A group of 25 students want to see a drake concert. Tickets for members of drakes fan club cost $20 and tickets for no members cost $25. The total cost for tickets is $550

Answers

If you would like to know how many of each type of ticket were sold, you can calculate this using the following two equations:

a ... the number of drakes fan club tickets
s ... the number of no members tickets

$550 = a * $20 + s * $25 ... 550 = 20 * a + 25 * s
a + s = 25 ... a = 25 - s
__________________
550 = 20 * a + 25 * s

550 = 20 * (25 - s) + 25 * s

550 = 20 * 25 - 20 * s + 25 * s

550 - 20 * 25 = 5 * s

550 - 500 = 5 * s    /5

s = 50 / 5 

s = 10 tickets

a = 25 - s = 25 - 10 = 15 tickets

Result: There were 15 drakes fan club and 10 no members tickets sold.

April has four different basil plants and four different tomato plants. In how many ways can she arrange the plants in a row if she puts all the tomato plants next to each other?

Answers

The total no. of different arrangements of plants is 5!=120.

Concept of Permutation

Suppose if we had 4 plants, then the total no. of different ways through which it can be arranged in a row is 4!=4.3.2.1

{This simply means first position has 4 options, second has 3 options and so on}

Now In this question, considering the given condition there are :

4 different basil plants and 1 group(4 tomato plants) {As they need to stay together}

So there are 5 different entities

Therefore the total no. of arrangements are 5!=5.4.3.2.1

Therefore in 120 different ways she can arrange given plants in a row.

To practice more such problems refer:brainly.com/question/2141779

#SPJ2
well you have to multiply 4 times 4 because you have 4 tomatoe plants and 4 basil plants so you just multiply 4×4

-z2-z-19
Z=-7 what is the answer please

Answers

put\ the\ value\ of\ z=-7\ to\ the\ expression\ -z^2-z-19:\n\n-(-7)^2-(-7)-19=-49+7-19=\boxed{-61}
-z² - z - 19
-(-7)² - (-7) - 19
-(49) + 7 - 19
-49 + 7 - 19
-42 - 19
-61

Which level does macroeconomics focus on?

Answers

Choices given were:
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B. business
C. government

Among the choices, macroeconomics focus on C. GOVERNMENT.

Macro means large or large-scale. Macroeconomics deal with economies in a larger scale like national, regional, or global market which government is involved with. 

Answer:

Government

Step-by-step explanation: Macroeconomics is the branch of economics that studies the behavior and performance of an economy as a whole. It focuses on the aggregate changes in the economy such as unemployment, growth rate, gross domestic product and inflation.

You are going on a 1,940-mile trip, and your car gets about 28 miles per gallon. Gas prices along your route average $2.95 per gallon. Calculate the cost of thetrip. Round final answer to the nearest cent.

Answers

Answer:  $204.39

Reason

The number of gallons used is estimated to be approximately: distance/mpg = 1940/28 = 69.2857 gallons.

Each gallon costs $2.95, so the total cost is 69.2857*2.95 = 204.392815 which rounds to 204.39
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