Answer:
6 (2)^ = 6
6 (2)^2 = 24
a = 24
b = 6
y-intercept: (0,6)
y-intercept =
Step-by-step explanation:
6(2)^x
6 (2)^0 = 6 (a number ^0 = 1, 6 times 1 = 6)
6 (2)^2 = 6 x 4 = 24
Answer:
A they are just reflected over the y axis
Step-by-step explanation:
Answer:
For better understanding of the answer see the attached figure :
length of grid square on each axis on coordinate plane is 1 units
But here it is given to be 0.1 units.
So, in order to find the ordered pair (1.8 , -1.2) we need to first locate 1.8 on x-axis and -1.2 on y-axis
Now, as each axis one grid square equals 0.1 . So,we go 18 units on positive x -axis and mark point (1.8,0) and 12 units on negative y-axis and mark point (0,-1.2) and draw vertical and horizontal lines passing through these points respectively. And the point of intersection of these lines is our required point (1.8,-1.2)
<h3>
Answer: 2</h3>
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Explanation:
x = number of years
y = height in feet
The equation for the first tree is
y = x+3
The slope is 1 to represent a rate of 1 ft per year of growth. The y intercept of 3 is the starting height. Refer to y = mx+b form.
For the second tree, the equation is:
y = 0.5x+4
This time we have a slope of 0.5 and a y intercept of 4.
Apply substitution to solve for x
y = x+3
0.5x+4 = x+3
0.5x-x = 3-4
-0.5x = -1
x = -1/(-0.5)
x = 2
The trees will be the same height in <u> 2 </u> years.
What will that height be? Plug x = 2 into either equation to find y. We should get the same y value.
y = x+3
y = 2+3
y = 5
Or we could say
y = 0.5x+4
y = 0.5*2+4
y = 1+4
y = 5
We've shown that both equations lead to y = 5 when x = 2. This means that at the 2 year mark, both trees are 5 feet tall. This helps confirm we have the correct x value.
Answer:
feet tall.
Step-by-step explanation:
Jebb's Height Calculation:
The heights are given in <em>Mixed Fraction</em>. A mixed fraction is comprised of a whole number and a proper fraction, where as <em>proper fraction </em>is the one whose numerator is less than its denominator and <em>improper fraction </em>is the one whose numerator is greater than its denominator:
Shortest girl in the Sixth Grade =
feet
<em>Converting the height in improper fraction</em>:
feet
Jebb's Height =
feet x The shortest girl height
<em>Converting the height of Jebb in Improper Fraction</em>:
feet x
feet
<em>To find the Jebb's height we multiply 3 by 17 and 2 by 4 to get a improper fraction of</em>;
Jebb's Height =
feet
We can convert the above in mixed fraction as follows:
feet tall.