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iren [92.7K]
3 years ago
7

Equivalent fractions are always larger than orginal fraction true or false?

Mathematics
1 answer:
ioda3 years ago
8 0
The answer is false. They are the same
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Eleven less than three times a number
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Santino bought a book for $23.54. The price of the book was $22. What was the sales-tax rate?
Vika [28.1K]

We first find value of tax in dollars.

The difference between the two prices  is: 23. 54 - 22 = 1.54

Therefore the sales tax in dollars is 1.54

The tax % will be  (amount of tax / original cost price ) × 100

(1.54 / 22) × 100 → (0.07) × 100 =  7

So the tax rate is 7%

We can double check the answer.

7 % of 22  → (7/100) × 22 → 0.07 × 22 = 1.54

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6 0
3 years ago
For each of the following functions, determine if they are injective. Also determine if theyare surjective. Also determine if th
timurjin [86]

Answer:

Check below

Step-by-step explanation:

1. Definition for intervals

(a,b)=\left \{ x\in\Re : a

2. Functions

1) \Re \rightarrow \Re \\ f(x)=x

Let's perform graph tests.

That's an one to one, injective function. Look how any horizontal line touches that only once. Also, It's a surjective and a bijective one.

2)\Re\geq0\rightarrow\Re , f(x)=x+1\\

Injective, surjective and bijective.

Injective: a horizontal line crosses the graph in one point.

3)f:\Re\geq 0\rightarrow\Re, f(x) = cos(x)

The cosine function is not injective, bijective nor surjective.

4)f:\Re\rightarrow\Re \:f(x)=ex

Since e, is euler number it's a constant. It's also injective, surjective and bijective.

5)  Quite unclear format

6) \:f:\Re\rightarrow(0,\infty), f(x) =ex

Despite the Restriction for the CoDomain, the function remains injective, surjective and therefore bijective.

7) f:\Re\geq 0 \rightarrow  \Re\geq0, f(x) =x^{4}

Not injective nor surjective therefore not bijective too.

8).f:\{-1,2,-3\}}\rightarrow \{1,4,9\}, f(x) =x^{2}

f(-1)=1, f(2)=4, f(-3)=9

Injective (one to one), Surjective,  and Bijective.

10) f:\Re\geq 0\rightarrow [-1,1], f(x)= cos(x)\\-1=cos(x) \therefore x=\pi,3\pi,5\pi,etc.

Surjective.

11.f:R\geq 0[-1,1], f(x) = 0\\

Surjective

12.f: US Citizens→Z, f(x) = the SSN of x.

General function

13.f: US Zip Codes→US States, f(x) = The state that x belongs to.

Surjective

7 0
3 years ago
Pls answer attached question ​
BartSMP [9]

Answer:

It's a horizontal line passing through 4 on the y-axis.

Simply place a ruler at 4 and draw a straight line from left to right, which passing through the number 4.

6 0
2 years ago
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