Find the average rate of change (-4,-7)(-2,3)

Mathematics

1 answer:

Basile [38]3 years ago

6 0

The average rate of change is m=5.
Hope this helped.

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Liam earned a grade of 65% on his miltiple choice science final that had a total of 140 problmes. How many problems on the final

Vsevolod [243]

Answer:

Step-by-step explanation:

65% of 140

65/100 × 140

= 91 right

140 - 91

= 49 wrong

8 0

2 years ago

Determine if the equation has no solution,one solution, or infinite many solution.

Vladimir [108]

Answer:

Step-by-step explanation:

-2(11-12)=-4(1-6x) becomes -2(-1) = -4(1 - 6x)

Next, we divide both sides by -2, obtaining -1 = 2(1 - 6x), and then

-1 = 2 -12x, or

-3 = -12x

Simplifying this result, we get 1 = 4x, or x = 1/4

We conclude that -2(11-12)=-4(1-6x) has ONE solution, which is x = 1/4

3 0

2 years ago

Multiply.

Crank

The main rules that we use here are :

i) $\sqrt{a \cdot b}= \sqrt{a} \cdot \sqrt{b}$ for nonnegative values a and b.

ii) $\sqrt{a} \cdot \sqrt{a} =a$ .

Thus, first 'decompose' the numbers in the radicals into prime factors:

$4 \sqrt{3} \cdot 10 \cdot \sqrt{2\cdot2\cdot3}\cdot \sqrt{2\cdot 3}\cdot \sqrt{2}.$ .

By rule (i) we write:

$4 \sqrt{3} \cdot 10 \cdot \sqrt{2}\cdot \sqrt{2}\cdot \sqrt{\cdot3}\cdot \sqrt{2} \cdot \sqrt{3} \cdot \sqrt{2}$ .

We can collect these terms as follows:

$40 \sqrt{3}\cdot (\sqrt{3}\cdot \sqrt{3}) \cdot (\sqrt{2}\cdot \sqrt{2}) \cdot( \sqrt{2} \cdot \sqrt{2})$ , and by rule (ii) we have:

$40 \sqrt{3}\cdot 3 \cdot 2 \cdot2=40\cdot12\cdot \sqrt{3}=480 \sqrt{3}.$

Answer: $480 \sqrt{3}$ .