-4m+19 help plz and thank you

Mathematics

1 answer:

blondinia [14]3 years ago

8 0

Answer:

Step-by-step explanation:

I think

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Find a number x such that g(x) = -4

mel-nik [20]

Answer:

C: x = 7

Step-by-step explanation:

The easiest way to do this is to simply try all of the x-vales given as options.

Option 1: x = -1

Since $-1 \leq 0$ , we'll use the first equation.

$g(x)=\mid x \mid - 2\\g(-1)=\mid -1 \mid - 2 = 1 - 2 = -1$

As we can see, g(-1) is not -4.

Option 2: x = 3

Since $0 < 3 < 4$ , we'll use the 2nd equation.

$g(x) = x-3\\g(3) = 3-3 = 0$

Not -4.

Option 3: x = 7

Since $4 \leq 7$ , we'll use the 3rd equation.

$g(x) = 3-x\\g(7) = 3-7 = -4$

Tada! We have found a number such that g(x) = -4, it is 7. Since we only need to find a number, not all numbers, we don't have to check the last option. However, if you're curious:

Option 4: x = 4

Since $4 \leq 4$ (less than <em>or equal to</em>), we'll use the 3rd equation.

$g(x) = 3-x\\g(4) = 3-4 = -1$

3 0

3 years ago

Consider a political discussion group consisting of 1010 Democrats, 1010 Republicans, and 55 Independents. Suppose that two gr

yan [13]

Answer:

The probability is $\frac{3}{20}$

Step-by-step explanation:

Consider a political discussion group consisting of 10 Democrats, 10 Republicans, and 5 Independents.

Total members of the group = $10+10+5=25$

Selecting 2 republicans in succession means selecting 1st republican out of 10 republicans and total 25 members and then selecting 2nd republican out of 9 left republicans and 24 members.

Hence, probability becomes:

$\frac{10}{25}\times \frac{9}{24}$