Find the slope (-2,1)and (1,2.5)

Drag the expressions to the table to show whether the product is less than 3/4, greater than 3/4, or equal to 3/4.

KiRa [710]

A fraction 3/4 is called greater than 3/4 if,

Numerator > denominator,

Otherwise it is less than 3/4 ,

$\frac{1}{3} \times \frac{3}{4}=\frac{1}{4}$

$\begin{aligned}&\frac{5}{2} \times \frac{3}{4}=\frac{15}{8} \\&\because 8 < 15 \\&\Longrightarrow \frac{5}{2}\times \frac{3}{4} < 3/4 \\&\frac{7}{7} \times \frac{3}{4}=\frac{3}{4} \\&\because 3 < 4 \\&\Longrightarrow \frac{3}{4} \times \frac{3}{4} = 1 \\& \frac{9}{7} \times \frac{3}{4}=\frac{27}{28} \\&\because 28 > 27 \\&\Longrightarrow \frac{5}{5} \times \frac{3}{4} > \frac{3}{4} \end{aligned}$

A fraction represents a portion of a total. This entire may refer to a place or a group of places. The Latin word "fraction," which meaning "to break," is the source of the English term "fraction." The distribution of food and supplies as well as the lack of a metal currency were among the mathematical issues that the Egyptians utilized fractions to solve because they were the first civilization to understand fractions.

Only verbal descriptions of a portion of the whole were used to write fractions in ancient Rome. The numerator and denominator of fractions were first written in India with one number above the other, but without a line. The line used to divide the numerator and the denominator was only added by Arabs.

To learn more about fraction brainly.com/question/10354322

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7 0

2 years ago

If a ball is thrown in the air with a velocity 52 ft/s, its height in feet t seconds later is given by y = 52t - 16t^2. Find the

Sunny_sXe [5.5K]

Answer:

a.) -20ft/s

b.) -13.6ft/s

c.) -12.8ft/s

d.) -12.16ft/s

e.) -12ft/s

Step-by-step explanation:

Average Velocity = Change in distance/change in time.

Distance from the question in given in form of t as y= 52t - 16t² If our initial time is 2, distance travelled at t=2 is given as

Y(2) = 52(2) - 16(2)² =104 - 64

Y = 40ft.

For question a, when change In t is 0.5 seconds, that is from 2 sec to 2.5 seconds,

Average velocity = y(2.5) - y(2)/0.5

y(2.5) = 52(2.5) - 16(2.5)² =130 - 100 = 30

Y(2) = 40

Average velocity in 0.5 seconds = [30 - 40]/0.5 = -20ft/s.

For question b, when change In t is 0.1 seconds, that is from 2 sec to 2.1 seconds,

Average velocity = y(2.1) - y(2)/0.1

y(2.1) = 52(2.1) - 16(2.1)² =109.2 - 70.56= 38.64

Y(2) = 40,

Average velocity in 0.1 seconds = [38.64 - 40]/0.1 = -13.6ft/s.

For question c, when change In t is 0.05 seconds, that is from 2 sec to 2.05 seconds,

Average velocity = y(2.05) - y(2)/0.05

y(2.05) = 52(2.05) - 16(2.05)² = 106.6 - 67.24 = 39.36

Y(2) = 40

Average velocity in 0.05 seconds = [39.36 - 40]/0.05 = -12.8ft/s.

For question d, when change In t is 0.01 seconds, that is from 2 sec to 2.01 seconds,

Average velocity = y(2.01) - y(2)/0.01

y(2.01) = 52(2.01) - 16(2.01)² = 104.52 -64.6416 = 39.8784

Y(2) = 40

Average velocity in 0.5 seconds = [39.8784 - 40]/0.01 = -12.16ft/s.

Instantaneous velocity at t =2 is derived by getting the first derivative of y and inserting Our value of t=2 into the first derivative.

If y = 52t - 16t², then derivative of y becomes y' given as

y'= 52 - 32t

At t = 2,

y'= 52 - 32(2) = 52 - 64 = - 12ft/s.

Instantaneous velocity at t=2 is given as -12ft/s.

5 0

3 years ago

6y−3(4/3y−2) Simplified please?

Hitman42 [59]

Answer:

6(3y2−2y−2)3y−2

Step-by-step explanation:

5 0

3 years ago

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6. The scatterplot below shows data for the nine french fry orders from the

RoseWind [281]

Answer:

(B) Slope increases, correlation increases

Step-by-step explanation:

The plot graph is having a positive correlation with all of the dots located near the line. The new tenth data is located in the bottom left, touching the right side of the line. Since the new data is very close to the line, the correlation will increase. The data is located on the right of the line so it will shift the line to the right. If the bottom part of the line shift to the right, the slope will become higher.

5 0

3 years ago

Write the first five terms of a sequence. Don't make your sequence too simple. Write both an explicit formula and a recursive fo

Marina CMI [18]

Let the first five terms of a sequence be, 4,8,12,20,24

Ok, let me explain the meaning of term explicit and Recursive formula.

Explicit formula ,is the general formula to find any term of the sequence.

And, Recursive formula, is the method by which, we can find the nth term of the sequence if (n-1)th term of the sequence is known.

So,the explicit formula for the sequence is,

y = 4 n, where , n is any natural number.

And the recursive formula is .

y = 4 (n-1), with the help of (n-1)th term we can find nth term.

First term =4=4 × 1

Second term =8 =4 × 2

Third term =12=4×3

Fourth term =16 =4 × 4

.....................

...........................

.................................

(n-1) th term =4 × (n-1)

nth term =4 × n

Applying the simple procedure by looking at the first , second and the way the next term goes , the general and recursive formula is obtained.

As, you said you don't want simpler sequence

Consider the first five terms of the sequence, 0, 3,8,15, 24.

Explicit formula =n² + 2 n

Recursive formula=(n-1)²+2(n-1)

If,you will look at the sequence, it is neither Arithmetic nor geometric .

First term =0=0²+0×0

Second term =3=1+2=1²+2 × 1

Third term =8=4+4=2²+2×2

Fourth term =15=9+6=3²+2×3

Fifth term =24=16 +8=4²+2×4

So, Explicit formula= n²+ 2 n, where n is a whole number.

HOPE THIS HELPS!

7 0

3 years ago

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