For this case we propose a rule of three according to the data of the statement. To do this, we convert the mixed number into an improper fraction:
cups
4 ---------->
10 ----------> x
Where the variable "x" represents the amount of chopped of vegetables needed for 10 people.
This is equivalent to cups.
Answer:
cups
The roots, zeros, or solutions (they all means same thing) of an equation are when you graph that equation, x-intercepts are the real roots, zeros, or solutions.
Or set the y equal to zero which does the same job.
Answer:
a = 5
Remainder when p(x) is divided by x+2 = 62
Step-by-step explanation:
Given:
P(x) = x⁴-2x³+3x²-ax+3a-7
When x+1 divides the polynomial p(x) the ramainder is 19.
Applying remainder theorem,
x = -1
p(-1) = 19
Substitute the x = -1 into the polynomial expression
p(-1) = (-1)⁴-2(-1)³+3(-1)²-a(-1)+3a-7 = 19
1+2+3+a+3a-7 = 19
6-7+4a = 19
4a-1 = 19
4a = 19+1
4a = 20
a = 20/4
a = 5.
Hence, a = 5
p(x) = x⁴-2x³+3x²-5x+8
If p(x) is divided by x+2,
Then the remainder is p(-2)
p(-2) = (-2)⁴-2(-2)³+3(-2)²-5(-2)+8
p(-2) = 16+16+12+10+8
p(-2) = 62
Hence the remaider when p(x) is divided by x+2 is 62
"5 times a sum of 12 and a number is 80" translates to the next equasion:
5 x (12+a) = 80
Now we just have to solve it to find the value of a.
The unknown number is 4.
D is the right answer.
The last one is 1/2. what is the choices of the questions