Given that <span>Jan
has 35 teaspoons of chocolate cocoa mix and 45 teaspoons of French
vanilla cocoa mix and that she wants to put the same amount of mix into each
jar.
Given that she only wants one flavor mix in each jar and that she wants to fill as
many jars as possible.
This question depicts a HCF (highest common factor) question where the maximum amount of jars of each flavor she can fill represent the multiple of the HCF of 35 and 45.
35 = 5 x 7
45 = 5 x 9
Thus the HCF of 35 and 45 is 5.
Therefore, the number of jars of French vanilla cocoa mix Jan will fill is 9.</span>
Answer:
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The value of the function h(x + 1) is -x^2 - x + 1
<h3>How to evaluate the function?</h3>
The equation of the function is given as:
h(t) =-t^2 + t + 1
The function is given as:
h(x + 1)
This means that t = x + 1
So, we substitute t = x + 1 in the equation h(t) =-t^2 + t + 1
h(x + 1) =-(x + 1)^2 + (x + 1) + 1
Evaluate the exponent
h(x + 1) =-(x^2 + 2x + 1) + x + 1 + 1
Expand the brackets
h(x + 1) = -x^2 - 2x - 1 + x + 1 + 1
Evaluate the like terms
h(x + 1) = -x^2 - x + 1
Hence, the value of the function h(x + 1) is -x^2 - x + 1
Read more about functions at:
brainly.com/question/1415456
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<u>Complete question</u>
Consider the following function definition, and calculate the value of the function
h(t) = −t2 + t + 1 h(x + 1)
If a^ x = b then:
x = log_{a}b
For:
4^{7} = 16384 \\ log _{4}16384 = 7
Answer:
1. x = 10
2. x = 4
Step-by-step explanation:
I use the angle ABC method:
AB² + AC² = BC²
6² + 8² = x²
x = 10
AB² + AC² = BC²
3² + x² = 5²
x = 4
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