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3 years ago

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
6=1q
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3 years ago

Read 2 more answers

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

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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

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

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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