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Andrei [34K]
3 years ago
15

Natasha bought a tennis racket that was marked down in price by 20%. If the racket was originally priced at $125, how much did N

atasha pay?
HINT: First find the discount amount. Then, subtract the discount amount from the original price. When doing multiplication, be sure to change your percent to a decimal. PLEASEEE HELPPPPPPP

1Points
A
Natasha paid $25.

B
Natasha paid $45.

C
Natasha paid $100.

D
Natasha paid $80.
Mathematics
1 answer:
telo118 [61]3 years ago
4 0
C. Natasha paid $100
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63%

Step-by-step explanation:

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Another name for the positive integers is the ___________ numbers.
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12. An equation is shown. 8 1/2 - 3 1/? = 5 3/12<br>What is the value of the missing number?​
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Step-by-step explanation:

Alright, lets get started.

8\frac{1}{2}-3\frac{1}{?}=5\frac{3}{12}

These are mixed number given.

Suppose the complete mixed number of second place is x.

Converting mixed numbers into fractions.

\frac{17}{2}-x=\frac{63}{12}

Adding x in both sides

\frac{17}{2}=x+\frac{63}{12}

x=\frac{17}{2}-\frac{63}{12}

Making common denominator

x=\frac{102}{12}-\frac{63}{12}

x=\frac{39}{12}

x=\frac{13}{4}

In mixed number form:

x=3\frac{1}{4}

So comparing with given equation, the '?' sign will be equal to 4.

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Which of the following is the equation logx4=-2 written in exponential form
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Let T: Mmxn(R)Mmxn(R) be the function defined
alexandr402 [8]

Answer:

True. See the explanation and proof below.

Step-by-step explanation:

For this case we need to remeber the definition of linear transformation.

Let A and B be vector spaces with same scalars. A map defined as T: A >B is called a linear transformation from A to B if satisfy these two conditions:

1) T(x+y) = T(x) + T(y)

2) T(cv) = cT(v)

For all vectors x,y \in V and for all scalars c \in R. And A is called the domain and B the codomain of T.

Proof

For this case the tranformation proposed is t: M_{mxn} (R) > M_{nxm} (R)

Where T(A) = A^T

For this case we have the following assumption:

1) The transpose of an nxm matrix is an nxm matrix

And the following conditions:

2) T(A+B) = (A+B)^T = A^T + B^T = T(A) + T(B)

And we can express like this T(A+B) =T(A) + T(B)

3) If A \in M_{mxn}(R) and c \in R then we have this:

T(cA) = (cA)^T = cA^T = cT(A)

And since we have all the conditions satisfied, we can conclude that T is a linear transformation on this case.

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