All categories

3 years ago

3x^2 - 5x + 12 5x^2 + x - 11

Mathematics

1 answer:

Effectus [21]3 years ago

7 0

Answer:

8x²+5x+1

Step-by-step explanation:

3x²-5x+12

5x²+ x - 11

________

3x²+5x²= 8x²

}

5x+x =5x

}

12-11 =1

8x²+5x+1

You might be interested in

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

3 years ago

Select the equivalent expression.

kaheart [24]

Answer:

Step-by-step explanation:

a^-4 x 8^14

the solution is C

5 0

3 years ago

Determine the margin of error for a 99% confidence interval to estimate the population proportion with a sample proportion equa

Harman [31]

Answer:dudjdjdjdjdjdjdjdjdjdjdjdjdjdjdiidjdjdjdjd

Step-by-step explanation:

6 0

3 years ago

If is parallel to , which statement must be true?

Igoryamba

I’m pretty sure it’s d

6 0

3 years ago

QUICK !<br> What is the image point of (5,-5) after a translation right 2 units and up 3 units ?

faust18 [17]

Answer:

(7,-2)

Step-by-step explanation:

First, you move to the right of y-axis like 5 to 7,

then you movie to the up of x-axis like -5 to -2.

So the answer was (7,-2)

5 0

3 years ago