Answer: 0,16,32,48,64
Step-by-step explanation: the equation 16b means you will multiple 16 by whatever is in the b box. For the first b is equal to 0 so 16x0 = 0, the second b is equal to 1 so 16x1 = 16
Answer:
Step-by-step explanation:
First turn the mixed fractions into improper fractions
--> (
) × (
)
×![\frac{-17}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B-17%7D%7B3%7D)
Then multiply. the answer becomes −15 13/15
B but I'm not as sure though
Answer: Slope of the line given in the table: m = - 0.25
Y-intercept of the line given in the table: b = -4
Slope of the line given by the equation: m = 1.5
Y-intercept of the line given by the equation: b = 1
Step-by-step explanation: <u>Slope</u> of an equation is an indication of the steepness and direction of a linear graph. It is denoted as m and it can be calculated as:
m = ![\frac{y_{2} - y_{1} }{x_{2} - x_{1} }](https://tex.z-dn.net/?f=%5Cfrac%7By_%7B2%7D%20-%20y_%7B1%7D%20%20%7D%7Bx_%7B2%7D%20-%20x_%7B1%7D%20%7D)
Another way of determining the slope is as the form:
y = mx+b
<u>For the table</u>:
As in the table there are only points:
m = ![\frac{-3 + 2.5}{-4+6}](https://tex.z-dn.net/?f=%5Cfrac%7B-3%20%2B%202.5%7D%7B-4%2B6%7D)
m = - 0.25
<u>For the function</u>:
The function is:
y = 3/2x + 1
m = 3/2
m = 1.5
<u>Y-intercept</u> is where the linear function crosses the y-axis, or when x=0. It can also be represented by the letter b.
<u>For the table</u>:
y = mx + b
According to the table, when y = -2.5, x = -6
-2.5 = - 0.25. (-6) + b
b = -2.5 - 1.5
b = -4
<u>For the function:</u>
y = 1.5x + 1
b = 1
In conclusion:
- For the table: m = - 0.25 b = - 4
- For the equation: m = 1.5 b = 1
Answer:
x = -9
y = 2
Step-by-step explanation:
x + y = -7 then x = -y - 7
-x + 4y = 17
substitute for x:
-(-y - 7) + 4y = 17
reduce:
5y = 10
y = 2
x = -2 - 7
x = -9
check:
-9 + 2 = -7
-7 = -7
-(-9) + 4(2) = 17
17 = 17