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Alexus [3.1K]
3 years ago
7

Joanna went school supply shopping. She spent $21.45 on notebooks and pencils. Notebooks cost $1.97 each and pencils cost $1.16

each. She bought a total of 15 notebooks and pencils. How many of each did she buy?
A.
5 notebooks; 10 pencils
B.
3 notebooks; 12 pencils
C.
8 notebooks; 7 pencils
D.
10 notebooks; 5 pencils
Mathematics
1 answer:
GarryVolchara [31]3 years ago
5 0

Answer:

A) 5 notebooks, 10 pencils

Step-by-step explanation:

n = notebook

p = pencil

1.97n + 1.16p = 21.45

A)✅

1.97(5) + 1.16(10) = 21.45

9.85 + 11.6 = 21.45

21.45 = 21.45

B) ❌

1.97(3) + 1.16(12) = 21.45

5.91 + 13.92 = 21.45

19.83 = 21.45

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A new parabola, g(x), is translated from f(x) using the translation T(-3, 7).
andriy [413]

Answer:

We can predict the vertex point of g(x) by vectorial sum, which is equal to V_{G}(x,y) = (h - 3, k + 7).

Step-by-step explanation:

The vertex of g(x) is equal to the vectorial sum of the vertex of f(x) and the translation vector:

V_{G}(x,y) = V_{F}(x,y) + T(x,y) (1)

Where T(x,y) is the translation vector.

If we know that V_{F} (x,y) = (h,k) and T(x,y) = (-3, 7), then the formula for the vertex of g(x) is:

V_{G}(x,y) = (h,k) +(-3, 7)

V_{G}(x,y) = (h - 3, k + 7)

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Modulus: If z1=-2+3i and z2=1+2i calculate, |z1|, |z2|, and |z1+2z2|
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Answer:

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Step-by-step explanation:

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Y=0




Why?

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