a recipe that makes 18 cookies calls for 3/4 cups of sugar. How much sugar is needed to make 2 dozen cookies using this recipe?
1 answer:
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Answer:
D
Step-by-step explanation:
We assume the rotation R is <em>counterclockwise</em> 60°.
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The exponent on R is the number of times it is applied. That is, R² = R(R(figure)). So, the composition is equivalent to R^(2-4) = R^-2.
When the exponent of R is negative, it is essentially the inverse function. That is, applying the function R to the result will give the figure you started with. Equivalently, it is rotation in the other direction.
The point 120° clockwise from B is D.
The desired image point is D.
Answer:
Step-by-step explanation:
Given
Required
Solve
The question is poorly formatted; the only way to answer this is to place the result of each step in brackets until brackets cannot be used.
So, we have
Solve the expressions in the inner brackets
Solve all divisions
Multiply through
The <u>correct answer </u>is:
x²+2x+3.
Explanation:
We need to divide each term of the numerator by the denominator. For the <u>first term</u>:
Dividing the coefficients, we have 5/5 = 1.
When dividing the variables, we use the quotient rule: when dividing powers that have the same base, subtract the exponents. This gives us:
x³/x = x³/x¹ = x³⁻¹ = x²
For the first monomial, this gives us 1x² = x².
The <u>second term</u>:
Dividing the coefficients, we have 10/5 = 2.
Dividing the variables, we again use the product rule:
x²/x = x²/x¹ = x²⁻¹ = x¹ = x
Together this gives us 2x.
The <u>third term</u>:
Dividing the coefficients, we have
15/5 = 3.
Dividing the variables, we have x/x; when you divide something by itself, the answer is 1. This gives us:
3*1 = 3.
Together our quotient is x²+2x+3.
x²+2x+3.
Explanation:
We need to divide each term of the numerator by the denominator. For the <u>first term</u>:
Dividing the coefficients, we have 5/5 = 1.
When dividing the variables, we use the quotient rule: when dividing powers that have the same base, subtract the exponents. This gives us:
x³/x = x³/x¹ = x³⁻¹ = x²
For the first monomial, this gives us 1x² = x².
The <u>second term</u>:
Dividing the coefficients, we have 10/5 = 2.
Dividing the variables, we again use the product rule:
x²/x = x²/x¹ = x²⁻¹ = x¹ = x
Together this gives us 2x.
The <u>third term</u>:
Dividing the coefficients, we have
15/5 = 3.
Dividing the variables, we have x/x; when you divide something by itself, the answer is 1. This gives us:
3*1 = 3.
Together our quotient is x²+2x+3.