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3 years ago

Solve the following inequality in interval notation: -(x+3)-4x<5x-2

Mathematics

1 answer:

Vikki [24]3 years ago

6 0

Answer:

$(-\frac{1}{10} ,$ ∞ $)$

Step-by-step explanation:

$-(x+3)-4x$

$-x-3-4x$

$-5x-3$

$-5x-5x$

$-10x$

x > $-\frac{1}{10}$

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A student draws two parabolas both parabolas cross the x axis at (-4,0) and (6,0) the y intercept of the first parabolas is (0,-

faust18 [17]

Answer:

The positive difference between the a values is 0.5

Step-by-step explanation:

we know that

Both parabolas cross the x axis at (-4,0) and (6,0)

The general equation is

$y=a(x+4)(x-6)$

Find the value of a in the first parabola

The y-intercept is (0,-12)

For $x=0, y=-12$

substitute

$y=a(x+4)(x-6)$

$-12=a(0+4)(0-6)$

$-12=a(-24)$

$a=0.5$

Find the value of a in the second parabola

The y-intercept is (0,-24)

For $x=0, y=-24$

substitute

$y=a(x+4)(x-6)$

$-24=a(0+4)(0-6)$

$-24=a(-24)$

$a=1$

Find the positive difference between the a values for the two functions

$1-0.5=0.5$

5 0

3 years ago

Read 2 more answers

The average life of a certain type and brand of battery is 75 weeks. The average life of each of 9 randomly selected batteries i

Artyom0805 [142]

Answer:

Option A

Step-by-step explanation:

Since at. 0.05 level of significance, the p value was great than 0.05 but less than 0.1, we will fail to reject the null and conclude that the sample data does not provide enough evidence that the average life of the batteries is greater than 75 weeks.

7 0

3 years ago

A tree diagram is helpful when finding the number of __________.

Salsk061 [2.6K]

Answer:

Outcomes

Step-by-step explanation:

As you can see by the tree diagram below it gives the amount of outcomes of flipping a coin 2 times