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2 years ago

Find the distance between the two points rounding to the nearest tenth (if necessary).

Mathematics

1 answer:

Sedaia [141]2 years ago

7 0

Answer:

Step-by-step explanation:

$We\ know\ that\ distance\ between\ two\ points\ on\ a\ graph\ is\ given\ by\\\\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\Here,\\x_1=0\\x_2=1\\y_1=-5\\y_2=7\\Substituting\ them\ in\ our\ formula,\ we\ get:\\\sqrt{(1-0)^2+(7-(-5))^2}\\=\sqrt{1+(7+5)^2} \\=\sqrt{1+144}\\=\sqrt{145}\\=12.04\\Hence\ it\ rounds\ off\ to\ 12.\\$

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(-3,20) (3,0) (18,20) (13,18) is it a function

S_A_V [24]

Answer: No

Step-by-step explanation: The table does not have a function rule that is linear, quadratic, or cubic.

4 0

2 years ago

The function C(x)=−20x+1681 represents the cost to produce x items. What is the least number of items that can be produced so th

Reptile [31]

Answer:

The least number of items to produce is 41

Step-by-step explanation:

Average Cost

Given C(x) as the cost function to produce x items. The average cost is:

$\displaystyle \bar C(X)=\frac{C(x)}{x}$

The cost function is:

$C(x) = -20x+1681$

And the average cost function is:

$\displaystyle \bar C(X)=\frac{-20x+1681}{x}$

We are required to find the least number of items that can be produced so the average cost is less or equal to $21.

We set the inequality:

$\displaystyle \frac{-20x+1681}{x}\le 21$

Multiplying by x:

$-20x+1681 \le 21x$

Note we multiplied by x and did not flip the inequality sign because its value cannot be negative.

Adding 20x:

$1681 \le 21x+20x$

$1681 \le 41x$

Swapping sides and changing the sign:

$41x \ge 1681$

Dividing by 41:

$x\ge 41$

The least number of items to produce is 41

8 0

2 years ago

If abx - 5 = 0, what is x in terms of a and b?

Harlamova29_29 [7]

Here we want to have x on one side of equation so,
we put number 5 on right side of equation:
abx=5
then we divide both sides by ab to obtain x on left side:
Result:
x= $\frac{5}{ab}$

6 0

2 years ago

Read 2 more answers

A tub is filled with 18000 cm3 of water. It loses one-tenth of its water every 12 hours. What volume of water would be remaining

Lina20 [59]

Answer:

0 cm³

Step-by-step explanation:

the lost of water =

(5×24)/12 x 1/10 × 18000

= 10/10 × 18000 = 18,000 cm³

so, the remaining water in the tub=

18,000 - 18,000 = 0 cm³

(the tub is empty)

6 0

2 years ago

Work out the value of a and b in the identity. 3ax + 6 - 4(x + b)= 11x + 14

Levart [38]

Answer:

a=5, b=-2

Step-by-step explanation:

If you simplify the equation, you get:

3ax +6 -4x -4b - 11x - 14 = 0 =>

3ax - 15x -4b -8 = 0

group together x's and constants:

(3a-15)x -8 -4b = 0

To make this 0 for all x, we have to find an a such that 3a-15 = 0 and b such that -8-4b = 0. this leads to a=5, b=-2

5 0

3 years ago