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goblinko [34]
3 years ago
11

Evaluate the following expressions given the following functions: f(x) = 3x-5 and g(x) = -5x +7

Mathematics
1 answer:
ch4aika [34]3 years ago
5 0

Answer:

the answers and working is in the photo above

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What is -2 sqrt 20 - sqrt 125 in simplest radical form?
Natali5045456 [20]

-2\sqrt{20}-\sqrt{125}=-2\sqrt{4\cdot5}-\sqrt{25\cdot5}\\\\\text{use}\ \sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\ \text{for}\ a\geq0\ \wedge\ b\geq0\\\\=-2\sqrt4\cdot\sqrt5-\sqrt{25}\cdot\sqrt5=-2(2)\sqrt5-5\sqrt5\\\\=-4\sqrt5-5\sqrt5=(-4-5)\sqrt5=\boxed{-9\sqrt5}

8 0
3 years ago
Can someone please help I tried to attempt it but it wasn’t working for me
kakasveta [241]

b. It depends on the value you assume for the power line voltage. If you assume it is 120 volts, then the ratio to battery voltage is

... (120 volts)/(1.2 volts) = 100

Power line voltage is 100 times as large as battery voltage.

_____

Please be aware of some difficulties in this question.

1. Power line voltage, even if it is "120 volts" varies over time from -170 V to +170 V, so is not really comparable to a battery's voltage, which is steady at 1.2 V.

2. The terminology "times larger" is ambiguous. When we answer the question, "how much larger is <em>a</em> than <em>b</em>," we give the response in terms of the difference a-b. Thus, if <em>a</em> is 2 times <em>larger</em> than <em>b</em>, we might be talking about the <em>difference</em> being twice the value of <em>b</em>. It is preferable to say "times as large as."

5 0
3 years ago
<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B1%20%7D%7B4%20%7D%20%20%5Ctimes%20%20%5Cfrac%7B3%7D%7B4%7D%20%20%5Cdiv%20%20%5Cfr
loris [4]

Answer:

Step-by-step explanation:

Solution

This (after combining the top 2 fractions, is a 4 tier fraction.

1/4*3/4 = 3/16

So the question now becomes 3/16 ÷ 10/3

The rule for such a question is invert (turn up side down) the second fraction and multiply.

3/16 * 3/10                   Combine

(3*3)/(16* 10)          

9 / 160

0.05625

6 0
2 years ago
Read 2 more answers
Jack picked 10 ears of corn. He and two of his sisters ate two each. What is the amount of corn left represented as a
Burka [1]

<u>ANSWER: </u>

Jack picked 10 ears of corn. The amount of corn left is \frac{2}{5} ears of initial corn.

<u>SOLUTION: </u>

Given, Jack picked 10 ears of corn.  

Now the total corn present is 10 ears.

He and two of his sisters ate two each.

Then, remaining corn = 10 ears – eaten corn

= 10 – 2 (by him) – 2 (by his first sister) -2 (by his second sister)

= 10 – 6  = 4  

Now, the amount of corn left in fraction is remaining corn divided by initial corn.

Left over corn = \frac{remaining corn}{initial corn}

= \frac{4}{10} = \frac{2}{5}

Hence, the amount of corn left is \frac{2}{5} ears of initial corn.

5 0
4 years ago
Find the number of positive numbers less than 2020, which can not be written as the sum of six consecutive positive numbers.
sveta [45]

Answer: 334

Step-by-step explanation:

6 consecutive numbers can be written as:

n, n+1, n+2, n + 3, n + 4, n + 5,

The addition of those 6 numbers is:

n + n+1 + n+2 + n + 3 + n + 4 + n + 5

6n + 1 + 2 + 3 + 4 + 5 = 6n + 15

Let's find the maximum n possible:

6n + 15 = 2020

6n = 2020 - 15 = 2005

n = 2005/6 = 334.16

The fact that n is a rational number means that 2020 is can not be constructed by adding six consecutive numbers, but we know that with n = 334 we can find a number that is smaller than 2020, and with n = 335 we can found a number bigger than 2020.

So with n =  334 we can find one smaller.

6*334 + 15 = 2019

and we can do this for all the values of n between 1 and 334, this means that we have 334 numbers less than 2020 that can be written as a sum of six consecutive positive numbers.

8 0
3 years ago
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