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3 years ago

Solve: 5x-4(9-3x)=-2

Mathematics

2 answers:

shepuryov [24]3 years ago

7 0

Answer:

X=2

Step-by-step explanation:

So distribute first

5x-36+12x=-2

Combine like terms

17x-36=-2

Add 36 on both sides

17x=34

Divide 17 on both sides to isolate X

x=2

Final answer

x=2

lora16 [44]3 years ago

5 0

Answer:

i believe it is 2?

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Joshua uses a rule to write the following sequence of numbers 1/6,1/2,5/6,----------,11/2 What rule did Joshua use? What is the

Pani-rosa [81]

Answer: The missing number in the sequence is $\frac{7}{6}$

Step-by-step explanation:

Since we have given that

$\frac{1}{6},\frac{1}{2},\frac{5}{6},----------,\frac{11}{2}$

First term = a= $\frac{1}{6}$

Common difference = d is given by

$d=a_2-a_1\\\\\frac{1}{2}-\frac{1}{6}\\\\=\frac{6-2}{12}\\\\=\frac{4}{12}=\frac{1}{3}\\\\Similarly,\\d=a_3-a_2\\\\=\frac{5}{6}-\frac{1}{2}\\\\=\frac{10-6}{12}\\\\=\frac{4}{12}\\\\=\frac{1}{3}$

Therefore, it forms an arithmetic sequence.

Since, $a_4$ is missing,

So,

$a_4=a+3d\\\\a_4=\frac{1}{6}+3\times \frac{1}{3}\\\\a_4=\frac{1}{6}+1\\\\a_4=\frac{1+6}{6}\\\\a_4=\frac{7}{6}$

Hence, the missing number in the sequence is $\frac{7}{6}$

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3 years ago

Read 2 more answers

Is it linear and what’s the constant rate change? Please!

PolarNik [594]

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3 years ago

Han, his sister, his dad, and his grandmother step onto a crowded bus with only 3 open seats for a 42-minute ride. They decide H

aivan3 [116]

Answer:

Han= 24 minutes

His sister= 24 minutes

His Dad= 36 minutes

Grandmother= 42 minutes

Step-by-step explanation:

Please see attached picture for full solution.

Where the working split, see the right hand side.

The question states that Han's Dad sits 1.5 times as long as both Han and his sister. There could be 2 interpretations for this:

- Dad sits for 1.5 times of (Han and his sister)

- Dad sits for 1.5 times of Han and 1.5 times of Han's sister

I've done the working for both scenarios and found out that the 1st case cannot be true since Dad would've sat for 50.4 minutes when the bus ride is only 42 minutes! Moreover, there wouldn't be enough information to know how long Han and his sister sat for.

The second case is possible and it's working is on the right.

Feel free to ask if you have any enquiries :)

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4 years ago

Please help me on this!

const2013 [10]

By evaluating, we will see that for x = 7 h(x) exceeds g(x).

<h3>For which value of x does h(x) first exceed g(x)?</h3>

We have:

h(x) = 2*(2)^x

g(x) = 22x - 4

Now we can evaluate both function in the different options:

h(5) = 2*(2)^5 = 64

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We can see that for x = 5, h(x) does not exceed g(x), let's try the next one.

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So, for x = 6 both functions have the same output, then for x = 7 we will see that h(x) exceeds g(x).

The correct option is B.

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2 years ago

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m_a_m_a [10]

Answer:

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3 years ago