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3 years ago

On a piece of paper graph y= 2x-3. Then determine which answer matches the graph you drew. (there is 4 options not just three)

Mathematics

1 answer:

boyakko [2]3 years ago

3 0

Answer:

Step-by-step explanation:

since the slope (2) is positive the graph is similar to y=x, so graphs B and D are eliminated

so when x=1 we have

y=2(1)-3

y=2-3

y=-1

so the point is (1,-1), graph C eliminated

so it's A

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Suppose that y varies directly with x and y=10 when x=20. What is y when x=15

Likurg_2 [28]

Answer:

y=kx

subst y=10 and x=20 into the above

10=k20

k=10/20

k=1/2

therefore relationship: y=1/2x

subst x=15 into the relationship

y=1/2(15)

y=7,5

Step by step explanation:

Step 1: when they say y varies directly with x they mean y is proportional to x
step 2: so y=kx where k is the constant
step 3: is to substitute y=10 and x=20 into the above equation y=kx
step 4: you will end up with 10=k20 then divide both sides by 20 so that k becomes the subject of the formula 
step 5: your answer from the above will be k=10/20 so the relationship is y is directly proportional to 1/2 x what you did here is that you substituted k for 1/2 in the equation in step 3
step 6: is to finally substitute x=15 into the equation y=1/2x to finally get your answer y=7,5.

4 0

3 years ago

If f(x)=sinx−1/cos2x, then limx→π2f(x) is equivalent to which of the following?

Harrizon [31]

Answer:

Step-by-step explanation:

Given g(x) = sin(x)-1/cos2(x), we are to find the limit if the function g(x) as g(x) tends to π/2

Substituting π/2 into the function

lim x-->π/2 sin(x)-1/cos 2(x)

= sin(π/2) - 1/cos(2)(π/2)

= 1 - 1/cosπ

= 1- 1/-1

= 1 -(-1)

= 1+1

= 2

Hence the limit of the function h(x) = sin(x)-1/cos2(x) as x--> π/2 is 2

8 0

3 years ago

The conversion rate for US Dollars to Costa Rican Colones is 1 USD = 518 Colones.

allsm [11]

The cost of 0.5 kg of bananas is 393.60 Colones as per the given conversion rates

Conversion rate of 1 USD to Costa Rican Colones = 518 Colones

The conversion rate of kg to pounds given in the question: 1 kg = 2.2025 lbs

Cost of one pound of bananas = $0.69

Bananas required to be purchased = 0.5kg

Converting 0.5kg bananas to pounds = 0.5*2.2025 = 1.10125 pounds

Cost of 1.10125 pound of bananas in dollars = 1.10125*0.69 = 0.7598

Cost of 1.1025 pounds of bananas in Colones = 0.7598*518 = 393.60 Colones

Hence, the cost is 393.60

Therefore, the cost of 0.5 kg bananas in Colones is 393.60 Colones

Learn more about conversion rate:

brainly.com/question/2274822

#SPJ1

5 0

11 months ago

UESTION 6

Xelga [282]

Explique melhor, se eu entender consigo te ajuda :)

4 0

3 years ago

A baker made 60 muffins for a cafe. By noon, 45% of muffins were sold. How many muffins were sold by noon?

Genrish500 [490]

27

60÷100 =0.6
0.6×45 = 27

7 0

3 years ago