Answer:
m=-32
Step-by-step explanation:
-2=m/16
-2×16=m
-32=m
m=-32
Answer:
1A: 12
Step-by-step explanation:
2A: 16
3A: 21.333
4A: 13
5A: 14
1B: 15
2B: 12
3B:29
4B: 11
5B: 24
To solve this we would need to find 2/3 of 864. To make this simpler we can convert 2/3 into decimal form which can be found by dividing 2 by 3. This equals 0.6. Now we simply multiply 864 by 0.6 to get 518.4, if that is needed as a fraction it would be 518 2/5
14 of the $1.50/lb type will you need to obtain the desired mixture.
According to the statement
Chocolate A that sells for $1.50/lb
Chocolate B that sells for $6.50/lb
Then in equation form the quantity of mixture will
A + B = X
then
$1.50A + $6.50(10) = X
1.50A + 65 = X -(1)
after solving the equation the value of a and b will become
A = 14.
So, 14 of the $1.50/lb type will you need to obtain the desired mixture.
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Answer:
Option C is the answer.
Step-by-step explanation:
We have to find out the equation of a rational function having hole at x=5 and y-intercept at (0,7).
A. y = (x-5)/7x-35 = (x-5)/7(x-5) Here the numerator and denominator have the common factor (x-5) Therefore by
x - 5= 0
x = 5 which represents the hole at x=5 but the equation has no y-intercept.
B. In y = (7x-35)/(x-5)-1
Here 7(x-5)/(x-5) has the common factor (x-5) in numerator and denominator therefore for
x-5=0
x=5 is the hole
By division of 7(x-5)/(x-5) we get remainder 7 but there is already a shift of -1
therefore this equation has (7-1)=6 intercept on y-axis.
C. In y = (7x-35)/(x-5) again numerator and denominator have the common factor (x-5) = 0
or at x=5 the rational function has a hole.
When we divide numerator by denominator the remainder is 7 which is y- intercept is 7.
D. in y = (x-5)/(x-5) +7, x=5 is the hole.
When we divide common factors we get remainder 1 but there is already a shift of +7 so total intercept on y-axis is 1+7 = 8.
So Option C is the right answer.
