Answer: 33 days.
Step-by-step explanation:
Given :- Camryn practices the trumpet every 11th day and the flute every 3rd day.
Camryn practiced both the trumpet and the flute today.
To find the number of days until Camryn practices the trumpet and flute again in the same day, we need to find the least common multiple (L.C.M.) of 11 and 3.
As they both are co-prime numbers thus its L.C.M.= 11×3=33
Therefore, Camryn practices the trumpet and flute again in the same day after 33 days.
Answer:
One statement that is true is that it equals 50
The equation of the line y = 5x + 1. Line that is parallel to the function given should have the same slope as the equation which is 5. We use the point-slope form in order to find the second equation that contains the point (4,5).
y - 5 = 5(x-4)
y = 5x - 20 + 5
y = 5x -15
Therefore, the correct answer is the first option.
Answer:
k = 13 The smallest zero or root is x = -10
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Work Shown:
note: you can write "x^2" to mean "x squared"
f(x) = x^2+3x-10
f(x+5) = (x+5)^2+3(x+5)-10 ... replace every x with x+5
f(x+5) = (x^2+10x+25)+3(x+5)-10
f(x+5) = x^2+10x+25+3x+15-10
f(x+5) = x^2+13x+30
Compare this with x^2+kx+30 and we see that k = 13
Factor and solve the equation below
x^2+13x+30 = 0
(x+10)(x+3) = 0
x+10 = 0 or x+3 = 0
x = -10 or x = -3
The smallest zero is x = -10 as its the left-most value on a number line.
Hope this was Right
Answer:
first number is 5
second number is 7
Step-by-step explanation:
let x and y represent the first and second number
5x - 2y = 11 ........ equation 1
3x - 2y = 11.......... equation 2
so by elimination, equation 1 minus equation 2
5x - 3x - 2y - 2y = 11 - 1
2x = 10
x = 5
therefore the first number is 5
put x = 5 into equation 1
5x - 2y = 11
5(5) - 2y = 11
25 - 2y = 11
-2y = 11 - 25
-2y = - 14
y = 7
therefore the second number is 7
hope it helps .
