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3 years ago

Which graph has a slope of 1/2?

Mathematics

2 answers:

olya-2409 [2.1K]3 years ago

7 0

Answer: Bottom left graph

Step-by-step explanation: a slope is the degree of change in the y-axis divided by the degree of change in the x-axis. Therefore, d(y) / d(x) = 1 / 2

d(x) = 2 d(y)

Meaning for every two steps taken along the y-axis, one step is taken along the x-axis.

Solving for slopes according to individual scales, the bottom right and top left graphs both have a slope of ¼

The top right graph has a slope of 1

Bottom left has a slope of ½, which is correct. Solving, we have:

d(y) / d(x) = (5 - 2½) / (20 - 10) = ½

ryzh [129]3 years ago

4 0

A slope of 1/2 means for every two units to the right we move up one.

We have to be careful here because the graphs don't always use the same scale for x and y.

The bottom left uses the same scale and does indeed go two units to the right for every unit up, so that one is the answer.

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Leto [7]

Answer:

Number of Adult's tickets sold on Saturday = 3,356

Number of Children's tickets sold on Saturday = 2, 928

Total number of tickets sold over these two days is 8,938.

Step-by-step explanation:

Here, the number of tickets sold on FRIDAY:

Adult Ticket sold = 1,678

Children's Tickets sold = 976

So, the total number of tickets sold on Friday

= Sum of ( Adult + Children's ) tickets = 1,678 + 976 = 2,654 .... (1)

The number of tickets sold on SATURDAY:

Adult Ticket sold = 2 times the number of adult tickets sold on Friday

= 1,678 x 2 = 3,356

Children's Tickets sold = 3 times the number of children's tickets sold on Friday.

= 976 x 3 = 2, 928

So, the total number of tickets sold on Saturday

= Sum of ( Adult + Children's ) tickets = 3,356 + 2,928 = 6, 284 .... (2)

Now, the total number of tickets booked in these two days :

Sum of tickets booked on (Friday + Saturday)

= 2,654 + 6, 284 = 8,938

Hence, total number of tickets sold over these two days is 8,938.

6 0

3 years ago

The angles shown are complementary angles. The measure of angle 1 is (14x-21) degrees and the measure of angle 2 is (4x+75)

Anni [7]

Answer:

A complementary angle is an angle that adds up to 90 degrees. supplementary angles add up to 180 degrees. So a supplementary angle lies on a single, straight line, and a complementary angle is a right angle.

Step-by-step explanation:

7 0

3 years ago

How many temperature in Biratnagar

MariettaO [177]

Answer:

Step-by-step explanation:

do you mean "what is the temperature in birantnager?"

if as of 11 am june 21 2019 it is 93° with a low of 78° fahrenheit

6 0

3 years ago

A new photocopier works 4 times as fast as an old one. When the machines work together, a university can produce all its staff m

Usimov [2.4K]

The old photocopier can make x manuals in an hour. The new photocopier can make 4x. Combined, they made 5x manuals in an hour.

In one hour they can make 1/28 of the manuals.

1/(28*5)=1/140 is the rate.

The new photocopier can make all the manuals in 4/140 or 35 hours.

The old one can make them in 140 hours.

6 0

2 years ago

Can you please explain to me what the end behavior of the function f(x)=-2x^4-x^3+3 looks like?

Artist 52 [7]

The dominant term is -2x⁴.

As X approaches infinite, y is naturally going to be really large as well.

Remember that a number with an even exponent, regardless of whether it's positive or negative, will be positive.
As x approaches infinite, y will approach -2 * ∞, or -∞. Therefore, the end behavior in the positive direction is y=-∞
As x approaches negative infinite, y will approach -2 *∞ again. This is because -∞⁴ = ∞. Therefore, the end behavior in the negative direction is also y=-∞

Basically, due to the dominance of the -2x^4 term, the function will look more or less like a downward facing parabola with a y-intercept of 3.

7 0

3 years ago