The equation is <span>f(x) = 2x5 - 9x4 + 12x3 - 12x2 + 10x - 3 = 0
remark:
the sum of coefficients is = 2-9+12-12+10-3=-7+7=0, so a=1 is a zero of f
f can be written as </span>f(x) = (x-1)Q(x), and f(x) / (x-1)= Q(x)
after euclid's division
Q(x) = 2x4 - 7x3 + 5x2 - 7x +3
so for finding the other roots, making Q(x) for product of factors is a must
Using a system of equations, it is found that a value of h = 4 will result in an infinite number of solutions.
<h3>What is a system of equations?</h3>
A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
If two equations are equal, the system has infinite solutions.
In this problem, the equations are:
4x - 16 = h(x - 4).
Then:
4(x - 4) = h(x - 4).
h = 4.
More can be learned about a system of equations at brainly.com/question/24342899
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Answer:
Plug in the values for x
Step-by-step explanation:
plug in x values into the equation
for example, plug -2 into the equation. y= -2(-2). y=4
So on and so forth
Step-by-step explanation:
7.5 cups of raisins, 10 cups of peanuts and 5 cups of chocolate chips.
Step-by-step explanation:
We are given that,
The amount of ingredients needed for the trail mix are,
Raisins = \frac{3}{4}
4
3
cup
Peanuts = 1 cup
Chocolate chips = \frac{1}{2}
2
1
cup
Since, Kiran needs to make 10 cups of the trail mix.
The amount of ingredients needed will be,
Raisins = \frac{3}{4}\times 10
4
3
×10 = \frac{30}{4}
4
30
= 7.5 cups
Peanuts = 1 × 10 = 10 cups
Chocolate chips = \frac{1}{2}\times 10
2
1
×10 = 5 cups
Hence, the ingredients needed are 7.5 cups of raisins, 10 cups of peanuts and 5 cups of chocolate chips.
