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Lady bird [3.3K]
3 years ago
6

Simplify the following expression.

Mathematics
1 answer:
o-na [289]3 years ago
3 0

Answer:

i dont know what you mean but

3x(4x-3) simplified is 12x - 4 or 12x+(-4)

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tickets of a program at college cost $4 for general admission or $3 with a student ID. if 180 people paid to see a performance a
Licemer1 [7]

Answer:

75 general

105 student ID

Step-by-step explanation:

(it's a system)

4x+3y=615

x+y=180

(system as well)

4x+3y=615

x=180-y

4(180-y)+3y=615

720-4y+3y=615

-y=-105

y=105

x+105=180

x=180-105

x=75

7 0
3 years ago
Is relation to t a function? is the inverse of relation t a function?
Alona [7]

The relation t is one-to-one, so it is a function and so is its inverse


3 0
3 years ago
Please help!! What is the solution to the quadratic inequality? 6x2≥10+11x
fredd [130]

Answer:

The solution of the inequation 6\cdot x^{2} \geq 10 + 11\cdot x is \left(-\infty,-\frac{2}{3}\right]\cup\left[\frac{5}{2},+\infty\right).

Step-by-step explanation:

First of all, let simplify and factorize the resulting polynomial:

6\cdot x^{2} \geq 10 + 11\cdot x

6\cdot x^{2}-11\cdot x -10 \geq 0

6\cdot \left(x^{2}-\frac{11}{6}\cdot x -\frac{10}{6} \right)\geq 0

Roots are found by Quadratic Formula:

r_{1,2} = \frac{\left[-\left(-\frac{11}{6}\right)\pm \sqrt{\left(-\frac{11}{6} \right)^{2}-4\cdot (1)\cdot \left(-\frac{10}{6} \right)} \right]}{2\cdot (1)}

r_{1} = \frac{5}{2} and r_{2} = -\frac{2}{3}

Then, the factorized form of the inequation is:

6\cdot \left(x-\frac{5}{2}\right)\cdot \left(x+\frac{2}{3} \right)\geq 0

By Real Algebra, there are two condition that fulfill the inequation:

a) x-\frac{5}{2} \geq 0 \,\wedge\,x+\frac{2}{3}\geq 0

x \geq \frac{5}{2}\,\wedge\,x \geq-\frac{2}{3}

x \geq \frac{5}{2}

b) x-\frac{5}{2} \leq 0 \,\wedge\,x+\frac{2}{3}\leq 0

x \leq \frac{5}{2}\,\wedge\,x\leq-\frac{2}{3}

x\leq -\frac{2}{3}

The solution of the inequation 6\cdot x^{2} \geq 10 + 11\cdot x is \left(-\infty,-\frac{2}{3}\right]\cup\left[\frac{5}{2},+\infty\right).

3 0
3 years ago
The graph below belongs to which function family?
svet-max [94.6K]
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create a sketch of the graph of a function whose gradient is linear and that gradient has an x-intercept at x=4
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Here is one that meets your requirements.

7 0
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