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Irina18 [472]
3 years ago
13

If f(x)=3x+2and g(x)=x^2-9 find (f-g)(x)

Mathematics
1 answer:
mel-nik [20]3 years ago
5 0

Step-by-step explanation:

If f(x)=3x+2and g(x)=x^2-9

find (f-g)(x)

f(x)- g(x) = [3x + 2] - [x^2 - 9]

= -x^2 + 3x + 11

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(2x - 3y)(4x - y) can you help me
Mnenie [13.5K]

Answer:

<h2>(2x - 3y)(4x - y) = 8x² - 14xy + 3y²</h2>

Step-by-step explanation:

Use FOIL:  <em>(a + b)(c + d) = ac + ad + bc + bd</em>

(2x - 3y)(4x - y) = (2x)(4x) + (2x)(-y) + (-3y)(4x) + (-3y)(-y)

= 8x² - 2xy - 12xy + 3y²

<em>combine like terms</em>

= 8x² + (-2xy - 12xy) + 3y² = 8x² - 14xy + 3y²

3 0
3 years ago
Read 2 more answers
Judd worked 40 hours this week. He worked 7/10 of the hours outside and the rest inside. How many hours did he work outside?
Mnenie [13.5K]
If you would like to know how many hours did Judd work outside, you can calculate this using the following steps:

40 hours
outside: 7/10 of the hours = 7/10 * 40 hours = 7/10 * 40 = 28 hours

Judd worked 28 hours outside.
3 0
3 years ago
On the first day of school, 264 school notebooks were sold. Some sold for $0.95 each and the rest sold for &amp;1.25 each. How m
monitta

Answer:35.2

Step-by-step explanation:

You have to subtract everything to see what it gives you and what it gives u is $35.2

3 0
3 years ago
The ages of students in a school are normally distributed with a mean of 15 years and a standard deviation of 2 years. Approxima
worty [1.4K]

We have been given that the ages of students in a school are normally distributed with a mean of 15 years and a standard deviation of 2 years.

We are asked to find the percentage of students that are between 14 and 18 years old.

First of all, we will find z-score corresponding to 14 and 18 using z-score formula.

z=\frac{x-\mu}{\sigma}

z=\frac{14-15}{2}

z=\frac{-1}{2}

z=-0.5

Similarly, we will find the z-score corresponding to 18.

z=\frac{18-15}{2}

z=\frac{3}{2}

z=1.5

Now we will find the probability of getting a z-score between -0.5 and 1.5 that is P(-0.5.

P(-0.5

Using normal distribution table, we will get:

P(-0.5

P(-0.5

Let us convert 0.62465 into percentage.

0.62465\times 100\%=62.465\%\approx 62.5\%

Therefore, approximately 62.5\% of the students are between 14 and 18 years old.

8 0
3 years ago
Read 2 more answers
1) The Harrison family traveled 2112 mile in 4 days on their last vacation. The family traveled the same distance each day. How
oee [108]
\frac{2112}{4}\\528

1. c

2. j

\frac{30}{1\frac{1}{4}}\\\frac{30}{\frac{5}{4}}\frac{120}{5}\\24

3. a

0.03*36.8\\1.104

4. g

\frac{24\frac{1}{2}}{1\frac{3}{4}}\\\frac{\frac{49}{2}}{\frac{7}{4}}\\\frac{98}{7}\\14

5. g
3 0
3 years ago
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