Question

HELP PLEASE!

Answer 1

1. (4,3)
2. g=30
3.The x-coordinates' signs will change.
4. three places to the right
5. 5 - (-9)
6.-24
So...I did the first six to help you out but I am pretty sure you can do the rest!
:) Hope this helps!

Answer 2

Answer:

#1) (4, 3); #2) g = 30; #3) The x-coordinates will increase; #4) three places to the right; #5) 5 - (-9); #6) -24; #7) $a_n=2\times 3^{n-1}$; #8) -7/4; #9) The distance between a and b on the number line is 0.47 units; #10) line graph

Step-by-step explanation:

#1) Using 4 as the input means we replace x in the equation with 4:

y = -2(4) + 11 = -8+11 = 3

This gives us (4, 3).

#2) To solve the equation, we must isolate the variable, g.  To do this we cancel the -11; to cancel the addition of a negative number we will add a positive:

g+(-11)+11 = 19+11 (remember, what you do to one side you must do to the other)

g = 19+11 = 30

#3) As a graph is slid to the right, the x-coordinates change.  Since we are going to the right, which is the positive axis, the x-coordinates increase.

We are not moving the figure up or down, so the y-coordinates do not change.

#4) Each time we multiply by 10, we move the decimal point 1 place to the right.

Multiplying by 100 is multiplying by two 10's; this moves it 2 places to the right.

Multiplying by 1000 is multiplying by three 10's; this moves the decimal 3 places to the right.

#5) When subtracting, we can add the opposite:

-1 - 3 = -1 + -3 = -4

5 - (-9) = 5 + (+9) = 14

Multiplying a positive and a negative number means we multiply the digits and make the answer negative:

2(-2) = -(2(2)) = -4

Adding two integers of different signs means we must subtract the digits and take the sign of the larger digit:

-8 + 4 = -(8-4) = -4

The only answer that did not equal -4 was 5 - (-9).

#6) -23 + |7| - 4*2

The order of operations says we perform any operation in parentheses first.  We have no parentheses, but we can treat the absolute value as parentheses:  |7| = 7; this gives us

-23 + 7 - 4*2

We are then to move on to exponents; we have no exponents.

Next we perform any multiplication and division, from left to right.  The only multiplication we have is 4*2, which is 8:

-23 + 7 - 8

Lastly we add or subtract from left to right:

-16 - 8 = -24

#7) A geometric sequence is written as

$a_n=a_1\times r^{n-1}$, where a₁ is the first term and r is the common ratio.

In this sequence, the first term is 2 and the common ratio is 3; this gives us

$a_n=2\times 3^{n-1}$

#8) To find the slope of a line we use the formula

$m=\frac{y_2-y_1}{x_2-x_1}$

Using our points, we have

m = (2--5)/(-3-1) = (2+5)/-4 = 7/-4 = -7/4

#9) Adding these two numbers, we have

-4.82 + 4.35 = -0.47.

The distance between these two will be the sum of their absolute values:

4.82+4.35 = 9.17.  This is not -0.47.

The number -b will be -4.35; this means the product of a and -b will be the product of two negative numbers, which will be a positive.

The quotient of a and -b will be the same as the quotient of a and b.  The number -a will be 4.82, which means the quotient of -a and b will be the same as the quotient of a and b, which is the same as the quotient of a and -b.

#10) A box-and-whisker plot shows the spread of data.  A bar graph displays the frequency of data, as does a stem and leaf plot.  a line graph, however, will help you organize the data in numerical order.