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koban [17]
2 years ago
13

Write a system of equations that has no solution.

Mathematics
1 answer:
Helen [10]2 years ago
7 0

Answer:

9x + 4 = 3(3x + 4)

Step-by-step explanation:

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Help please!<br><br> | 2x^2 + 5x + 3 | &gt; 0<br> solve the inequality
vovikov84 [41]

Factorize the quadratic.

2x^2 + 5x + 3 = (2x + 3) (x + 1)

We have |ab| = |a||b|, so

|2x^2 + 5x + 3| = |2x + 3| |x + 1| > 0

Now, both |2x+3|\ge0 and |x+1|\ge0 (since the absolute value of any number cannot be negative), so we just need to worry about when the left side is exactly zero. This happens for

(2x + 3) (x + 1) = 0 \implies 2x+3 = 0\text{ or }x+1 = 0 \\\\ \implies x = -\dfrac32 \text{ or } x = -1

So the solution to the inequality is the set

\left\{x \in \Bbb R \mid x\neq-\dfrac32 \text{ and } x\neq-1\right\}

3 0
2 years ago
Jada and Noah wanted to find the total volume of a cube and a rectangular prism. They know the prism's volume is 20 cubic units,
jeyben [28]

Answer:

Volume of the cube = 10^3 = 1000 units.

Total volume of the cube + the prism = 1000 + 2

= 1020 cubic units.

Step-by-step explanation:

sorry if i get it wrong

5 0
3 years ago
Read 2 more answers
Ten runners are in a race. how many different ways can they finish in 1st, 2nd and 3rd place?
Aleksandr [31]
The order of selection matters, therefore we need to find permutations:
The number of ways is found from 10P3.
10P3=\frac{10!}{7!}=10\times9\times8=720\ ways
3 0
3 years ago
Thomas is in charge of selling roses for the Graduation dance. The roses sell for $3.50 each. He estimates that the expenses of
KonstantinChe [14]

Answer:

P= $3.5x -$30

Step-by-step explanation:

Let the number of roses Thomas bought and sold be x.

Hence the total selling price would be;

$3.5 × x= $3.5x

The profit = selling price-expenses

P= $3.5x -$30

6 0
3 years ago
What is 30% discount of £9.50
Tems11 [23]
30% discount of £9.50 is £2.85
in order to find out the answer you times 30 by £9.50 and you get 285 and then you divide the answer by 100 and you get £2.85
3 0
3 years ago
Read 2 more answers
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