number - n
Twice a number - 2n
Seven times the number - 7n
2n = 7n +35
7n-2n = -35
5n = -35
n = - 7
Check:
2(-7) = 7(-7) +35
-14 = -49 + 35
-14 = -14 True
The number is (- 7).
A function that fits the following points (0,5), (2,-13) is y = 9x + 5
<h3>Equation of a line</h3>
The equation of a line in slope-intercept form is expressed as;
y =mx +b
where;
m is the slope
b is the intercept
Given the following coordinates (0,5), (2,-13)
Slope = -13-5/2-0
Slope = -18/-2
Slope = 9
Since the y-intercept is b = 5, hence the equation of the line will be y = 9x + 5
Learn more on linear regression here; brainly.com/question/25987747
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Answer: B. 31
Step-by-step explanation:
This linear regression was constructed by relating the hours practiced per week and the number of competitions won.
Going by this graph, the number of competitions they can expect to win at 5 practices a week is 31.
This is derived by looking for the point where 5 competitions on the x-axis intersects with the line. This point is at 31 competitions on the y axis which would make it the answer.
Given: Yu, Nailah, and Elena each bought between 7 and 9 yards of ribbon Yu bought 3 pieces of ribbon. Nailah bought 5 pieces of ribbon. Elena bought 6 pieces of ribbon.
To find: Who can buy which ribbon
Solution:
Ribbon Sizes
1 2/3 = 5/3 yard
4/5 yard
3 1/2 = 7/2 Yard
Yu, Nailah, and Elena each bought between 7 and 9 yards of ribbon
Yu bought 3 pieces of ribbon
=> 3 * 5/3 = 5
3 * 4/5 = 2.4
3 * 7/2 = 10.5
Nailah bought 5 pieces of ribbon
=> 5 * 5/3 = 8.33
5 * 4/5 = 4
5 * 7 /2 = 17.5
Elena bought 6 pieces of ribbon
=> 6 * 5/3 = 10
6 * 4/5 = 4.8
6 * 7 /2 = 21
Only value between 7 & 9 is 5 * 5/3 = 8.33
hence Nailah only can buy 1 2/3 = 5/3 yard ribbon
or there is some mistake in the data
Answer:
FV= $160.68
Step-by-step explanation:
Giving the following information:
Initial investment= $150
Interest rate= 3.5% compounded annually
Number of periods= 2
T<u>o calculate the future value, we need to use the following formula:</u>
FV= PV*(1+i)^n
PV= present value
i= interest rate
n= number of periods
FV= 150*(1.035^2)
FV= $160.68
