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rusak2 [61]
3 years ago
5

the difference of two numbers is 9. if the larger number is one more than twice the smaller number, find the larger number

Mathematics
1 answer:
Evgen [1.6K]3 years ago
8 0

Answer:

smaller = 8

larger = 17

Step-by-step explanation:

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Solve for qqq.
Anna11 [10]
3/5=q/10
multiply both sides by 5 or cross multiply i fyou like
30/5=10q/10
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3 years ago
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Mia is finally able to upgrade her cellphone. The one she wants costs $220 but she is able to get it for 60% off. She has a coup
Kay [80]

The answer would be A) $79.20

(220*.4).9 as 60 percent off means that the product is only 40 percent of its original value, furthermore, we multiply the entire thing by .9


8 0
3 years ago
DIscrete Math
Daniel [21]

Answer:

Step-by-step explanation:

As the statement is ‘‘if and only if’’ we need to prove two implications

  1. f : X \rightarrow Y is surjective implies there exists a function h : Y \rightarrow X such that  f\circ h = 1_Y.
  2. If there exists a function h : Y \rightarrow X such that  f\circ h = 1_Y, then f : X \rightarrow Y is surjective

Let us start by the first implication.

Our hypothesis is that the function f : X \rightarrow Y is surjective. From this we know that for every y\in Y there exist, at least, one x\in X such that y=f(x).

Now, define the sets X_y = \{x\in X: y=f(x)\}. Notice that the set X_y is the pre-image of the element y. Also, from the fact that f is a function we deduce that X_{y_1}\cap X_{y_2}=\emptyset, and because  f the sets X_y are no empty.

From each set X_y  choose only one element x_y, and notice that f(x_y)=y.

So, we can define the function h:Y\rightarrow X as h(y)=x_y. It is no difficult to conclude that f\circ h(y) = f(x_y)=y. With this we have that f\circ h=1_Y, and the prove is complete.

Now, let us prove the second implication.

We have that there exists a function  h:Y\rightarrow X  such that f\circ h=1_Y.

Take an element y\in Y, then f\circ h(y)=y. Now, write x=h(y) and notice that x\in X. Also, with this we have that f(x)=y.

So, for every element y\in Y we have found that an element x\in X (recall that x=h(y)) such that y=f(x), which is equivalent to the fact that f is surjective. Therefore, the prove is complete.

3 0
2 years ago
- 2.2f + 0.55 f– 15 - 8=
Andrews [41]
Https://photomath.net/s/rRVj6K
7 0
2 years ago
The vertices of a quadrilateral are M(-1,1), N(1,-2),O(5,0), and P(3,3).
Komok [63]

Answer:

Quadrilateral MNOP is a rectangle.

Step-by-step explanation:

7 0
2 years ago
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