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1 year ago

The linear function that is represented by which table has the same slope as the graph? (the tables are the choices)

Mathematics

1 answer:

sleet_krkn [62]1 year ago

8 0

Answer: Table 3,

x : -9 -7 -5 -3 -1

y: -25 -21 -17 -13 -9

has same slope as line given equal to 2.

Step-by-step explanation:

Slope between two points having coordinates, (x1, y1) (x2,y2) which lie in a coordinate plane is given by:

coordinate plane is given by:

= (y2 - y1) / (x2 - x1)

Slope of linear function given in table 1, can be calculated by

We can see table 1,

Then we can write,

= (-7 - (-9) ) / (-21 - (-25) )

= (-7+9) / (-21+25)

= 2/4

= 1/2

Slope of linear function given in table 2, can be calculated by

We can see table 2,

Then we can write,

= (7-9) / (-21 - (-25) )

= -2/-21+25

= -2/4

= -1/2

Slope of linear function given in table 3, can be calculated by

We can see table 2,

Then we can write,

= (-21 - (-25) ) / (-7 - (-9) )

= (-21+25) / (-7+9)

= 4/2

= 2

Now, slope of line which passes through (0,-3) and (3,3) is

= (3 - (-3)) / 3-0

= 3+3/3

= 6/3

= 2

Table 3,

x : -9 -7 -5 -3 -1

y: -25 -21 -17 -13 -9

has same slope as line given equal to 2.

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Solve x'=5t(sqrt(x)) x(0)=1

LekaFEV [45]

Answer:

$2\sqrt{x}=\frac{5t^2}{2}+2$

Step-by-step explanation:

Given: $\frac{\mathrm{d} x}{\mathrm{d} t}=5t\sqrt{x}\,,\, x(0)=1$

Solution:

A differential equation is said to be separable if it can be written separately as functions of two variables.

Given equation is separable.

We can write this equation as follows:

$\frac{dx}{\sqrt{x}}=5t\,dt$

On integrating both sides, we get

$\int \frac{dx}{\sqrt{x}}=\int 5t\,dt$

Formulae Used:

$\int \frac{1}{\sqrt{x}}=2\sqrt{x}\,\,,\,\,\int t\,dt=\frac{t^2}{2}$

So, we get solution as $2\sqrt{x}=\frac{5t^2}{2}+C$

Applying condition: x(0) = 1, we get $C=2$

Therefore, $2\sqrt{x}=\frac{5t^2}{2}+2$

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3 years ago

the volume is 50.24 cubic inches and has a radius of 4 inches. What is the height? Use 3.14 for pie.

Dmitrij [34]

Volume = (1/3)(pi)(r^2)(h)
= (1/3)*3.14*(4^2)(h)
= 16.747h

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3 years ago

What is 1 & 5/7 times 2 & 3/4

VARVARA [1.3K]

The solution of $1\frac{5}{7} \times 2\frac{3}{4}$ is $\frac{33}{7} \text{ or } 4.714$

<em><u>Solution:</u></em>

Given that we have to find the solution of given expression

Given expression is:

$1\frac{5}{7} \times 2\frac{3}{4}$

Let us first convert the mixed fraction to improper fraction

Multiply the whole number part by the fraction's denominator.

Add that to the numerator.

Then write the result on top of the denominator.

Therefore,

$1\frac{5}{7} = \frac{1 \times 7+5}{5} = \frac{12}{5}$

$2\frac{3}{4} = \frac{2 \times 4+3}{4}=\frac{11}{4}$

Now the expression becomes,

$1\frac{5}{7} \times 2\frac{3}{4} = \frac{12}{7} \times \frac{11}{4}$

Solve and simplify the above expression

$1\frac{5}{7} \times 2\frac{3}{4} = \frac{12}{7} \times \frac{11}{4} = \frac{33}{7}\\\\1\frac{5}{7} \times 2\frac{3}{4} = \frac{33}{7}$

In decimal form we get,

$\frac{33}{7}=4.714$

Thus the solution to given expression is found

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3 years ago

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