4(5t - 7)=10t+2 how to simplify equation

Which is the rate of change for the interval between three and six on the XX is -3 -2 2 3

weqwewe [10]

Check the picture below.

bearing in mind that the slope goes by different names

average rate of change

rise over run

rate of change

but is basically the same cat in disguise with different costumes.

$\bf (\stackrel{x_1}{3}~,~\stackrel{y_1}{-2})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{4}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{4}-\stackrel{y1}{(-2)}}}{\underset{run} {\underset{x_2}{6}-\underset{x_1}{3}}}\implies \cfrac{4+2}{3}\implies \cfrac{6}{3}\implies 2$

7 0

3 years ago

Daniel bought four bags of potatoes. The weight of the first bag was 2.6 pounds. The second bag weighed 0.4 pound less than twic

ipn [44]

Answer:

Average weight of the bags of potatoes is 3.8 pounds.

Step-by-step explanation:

Given:

Weight of the first bag, $W_{1}=2.6$ pounds.

Weight of the second bag is 0.4 pounds less than twice the weight of first bag. This means,

$W_{2}=2W_{1}-0.4=2(2.6)-0.4=5.2-0.4=4.8\textrm{ pounds}$

Weight of the third bag is 0.6 pounds more than that of the first bag. This means,

$W_{3}=W_{1}+0.6=2.6+0.6=3.2\textrm{ pounds}$

Weight of the fourth bag is 0.3 pounds less than that of the second bag. This means,

$W_{4}=W_{2}-0.3=4.8-0.3=4.5\textrm{ pounds}$

Therefore, the average weight of the bags of potatoes is given as the sum of all the weights and then divide the sum by 4. Therefore,

$W_{average}=\frac{W_{1}+W_{2}+W_{3}+W_{4}}{4}=\frac{2.6+4.8+3.2+4.5}{2}=\frac{15.1}{4}=3.775\approx 3.8$

Therefore, average weight of the bags of potatoes is 3.8 pounds.

8 0

3 years ago

Solve the following system of equations. 3x + 2y - 5 = 0 x = y + 10 Make sure there are NO SPACES in your answer. Include a comm

melisa1 [442]

Answer:

(5, - 5)

Step-by-step explanation:

Given the 2 equations

3x + 2y - 5 = 0 → (1)

x = y + 10 → (2)

Substitute x = y + 10 in (1)

3(y + 10) + 2y - 5 = 0 ← distribute and simplify left side

3y + 30 + 2y - 5 = 0

5y + 25 = 0 ( subtract 25 from both sides )

5y = - 25 ( divide both sides by 5 )

y = - 5

Substitute y = - 5 in (2) for corresponding value of x

x = - 5 + 10 = 5

Solution is (5, - 5)

4 0

3 years ago

Read 2 more answers

How many square feet of outdoor carpet will

jonny [76]

Answer: $30\ ft^2$

Step-by-step explanation:

The missing figure is attached.

For this exercise you can divide the given figure into three rectangles.

The formula for calculate the area of a rectangle is:

$A=lw$

Where "l" is the lenght and "w" is the width.

Knowing this, you can calculate the area of each rectangle.

Then:

Area of the Rectangle A

You can identify that:

$l_A=4\ ft\\w_A=2\ ft$

Then, its area is:

$A_A=(4\ ft)(2\ ft)\\\\A_A=8\ ft^2$

Area of the Rectangle B

Observe that:

$l_B=4\ ft+2\ ft=6\ ft\\w_B=2\ ft$

Then, its area is:

$A_B=(6\ ft)(2\ ft)\\\\A_B=12\ ft^2$

Area of the Rectangle C

You can identify that:

$l_C=5\ ft\\w_C=2\ ft$

Then, its area is:

$A_C=(5\ ft)(2\ ft)\\\\A_C=10\ ft^2$

Add the area of the rectangles in order to find the total area. This is:

$Total=8\ ft^2+12\ ft^2+10\ ft^2\\\\Total=30\ ft^2$

Therefore, you will need $30\ ft^2$ of outdoor carpet for that hole.

8 0

3 years ago

What number is 245% of 24.2

Lina20 [59]

<span>59.29

Hope this helps! ^_^</span>

8 0

3 years ago