12 times a number g what is the answer?

What would the graph look like for ^

Jet001 [13]

Answer: The correct option is the first one.

Step-by-step explanation:

Let's define how to interpret each symbol:

x < a (x is strictly smaller than a, we graph this with an open circle at a, and an arrow to the left of a)

x > a (x is strictly larger than a, we graph this with an open circle at a, and an arrow to the right of a)

x ≥ a (x is larger than or equal to a, we graph this with a closed circle at a, and an arrow to the right of a)

x ≤ a (x is smaller than or equal to a, we graph this with a closed circle at a, and an arrow to the left of a)

In this case, we have the inequality:

x ≤ 15

Then to graph this we need a closed circle at 15, and an arrow to the left. The correct option is the first one.

3 0

3 years ago

HURRY PLEASE!!!!! Triangle RST is translated 2 units left and then reflected over the y-axis.

AVprozaik [17]

Answer:

The correct options are 1 and 2.

Step-by-step explanation:

The vertices of triangle are S(-4,4), T(-1,4), R(-1,1).

If triangle translated 2 units left,

$(x,y)\rightarrow (x-2,y)$

and then reflected over the y-axis,

$(x-2,y)\rightarrow (-x+2,y)$

The relation between image and preimage is

$(x,y)\rightarrow (-x+2,y)$ ..... (1)

The vertices of image are

$S(-4,4)\rightarrow S'(6,4)$

$T(-1,4)\rightarrow T'(3,4)$

$R(-1,1)\rightarrow R'(3,1)$

Therefore the vertices of image are S'(6,4),T'(3,4), R'(3,1).

1. A reflection over the y-axis and then a translation 2 units right is defined as

$(x,y)\rightarrow (-x+2,y)$

It is equivalent to relation 1, therefore option 1 is correct.

2. A 180 rotation about the origin, then a translation 2 units right, and then a reflection over the x-axis is defined as

$(x,y)\rightarrow (-x+2,y)$

It is equivalent to relation 1, therefore option 2 is correct.

3. A reflection over the y-axis and then a translation 2 units left is defined as

$(x,y)\rightarrow (-x-2,y)$

It is not equivalent to relation 1, therefore option 3 is incorrect.

4. A 180 rotation about the origin, then a translation 2 units left, and then a reflection over the x-axis is defined as

$(x,y)\rightarrow (-x-2,y)$

It is not equivalent to relation 1, therefore option 4 is incorrect.

5. A reflection over the x-axis and then a translation 2 units right is defined as

$(x,y)\rightarrow (x+2,-y)$

It is not equivalent to relation 1, therefore option 5 is incorrect.

6. A reflection over the x-axis and then a translation 2 units left is defined as

$(x,y)\rightarrow (x+2,-y)$

It is not equivalent to relation 1, therefore option 6 is incorrect.

Therefore the correct options are 1 and 2.

8 0

2 years ago

Read 2 more answers

PLEASE HELP DUE IN ! HOUR

alekssr [168]

Answer:

c. Mary charges $12.00 per hour for labor to paint houses. What is x, the number of hours Mary worked if she charged $240.00 for labor?

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Of 1,050 randomly selected adults, 360 identified themselves as manual laborers, 280 identified themselves as non-manual wage ea

garik1379 [7]

Answer:

We can claim with 95% confidence that the proportion of executives that prefer trucks is between 19.2% and 32.8%.

Step-by-step explanation:

We have a sample of executives, of size n=160, and the proportion that prefer trucks is 26%.

We have to calculate a 95% confidence interval for the proportion.

The sample proportion is p=0.26.

The standard error of the proportion is:

$\sigma_p=\sqrt{\dfrac{p(1-p)}{n}}=\sqrt{\dfrac{0.26*0.74}{160}}\\\\\\ \sigma_p=\sqrt{0.0012}=0.0347$

The critical z-value for a 95% confidence interval is z=1.96.

The margin of error (MOE) can be calculated as:

$MOE=z\cdot \sigma_p=1.96 \cdot 0.0347=0.068$

Then, the lower and upper bounds of the confidence interval are:

$LL=p-z \cdot \sigma_p = 0.26-0.068=0.192\\\\UL=p+z \cdot \sigma_p = 0.26+0.068=0.328$

The 95% confidence interval for the population proportion is (0.192, 0.328).

We can claim with 95% confidence that the proportion of executives that prefer trucks is between 19.2% and 32.8%.

3 0

3 years ago

You are given a bag with 8 green marbles, 6 blue marbles, 14 yellow marbles, and 12 red marbles. Find the theoretical probabilit

AysviL [449]

A) 8/40 = 1/5
b) 12/40 or 6/20
c) 26/40 or 13/20

6 0

3 years ago