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PSYCHO15rus [73]
4 years ago
14

What is the solution for -3( 2x-4)=4(3/2x-3)

Mathematics
1 answer:
erma4kov [3.2K]4 years ago
3 0

Answer:

Step-by-step explanation:

3( 2x-4)=4(3/2x-3)

Opening bracket

6x - 12 = 6x - 12

6x - 6x = -12 + 12

No solution

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What is the fifth term in the binomial expansion of (x + 5)^8?O 175,000x³O 43,750x4O 3,125x5O 7,000x
enyata [817]

Solution:

Given the expression below

(x+5)^8

Applying the binomial theorem formula

\begin{gathered} \left(a+b\right)^n=\sum_{k=0}^n{\binom{n}{k}}a^{n-k}b^k \\ Where \\ a=x \\ b=5 \\ n=8 \\ k=4\text{ i.e. fifth term} \end{gathered}

For the fifth term, i.e

\sum_{k=4}^8{\binom{8}{4}}x^{8-4}5^4=\frac{8!}{4!(8-4)!}\cdot x^4\cdot(625)=(70)(625)(x^4)=43750x^4

Hence, the fifth terms is

43750x^4

3 0
1 year ago
Jessie works at least 36 hours a week. She works as a math
Olegator [25]

Answer:

The feasible region is unbounded which is the shaded portion in the graph.

Step-by-step explanation:

Given that, the number of hours Jessie works as a teacher and tutor is y and x respectively, which can't be negative.

So, x\ge0\;\cdots(i)

y\ge0\;\cdots(ii)

She works at least 36 hours a week.

\Rightarrow x+y\ge 36

\Rightarrow y\ge 36-x\;\cdots (iii)

She works as a teacher for al least twice the number of hours she works as a tutor.

\Rightarrow y\ge2x\;\cdots(iv)

The boundary of the inequalities from equations (i), (ii), (iii), and (iv) are

x=0, y=0, y=36-x and y=2x.

The feasible region is the shaded portion which is the unbounded region as shown in the graph. Any point P(x,y) from the feasible region will satisfies all the constraints.

5 0
3 years ago
A recipe for pizza crust call for 3 cups of flour for every 1 cup of water.How many cups of water are needed for 21 cups of flou
Zina [86]
The answer is 7 cups of water are needed for 21 cups of flour.

Shown work:
1 cup of water=3 cups of flours
? Cup of water=21 cups of flours

21 divided 3=7
1 multiply by 7= 7 cups of water needed
4 0
3 years ago
Carrie has 140 coins she has 10 times as many as coins she had last month how many coins did Carrie have last month
never [62]
14 coins. 140/10 = 14 :) Hope this helped!
5 0
3 years ago
PLEASEE HELP FASTT Water flowed out of a tank at a steady rate. A total of 18 and one-half gallons flowed out of the tank in 4 a
Eddi Din [679]

Answer:

The answer would be D, 37/2 divided by 17/4

Explanation:

I did the test.

5 0
3 years ago
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