Answer:
Explanation:
To simplify a polynomial, we have to do two things: 1) combine like terms, and 2) rearrange the terms so that they're written in descending order of exponent.
First, we combine like terms, which requires us to identify the terms that can be added or subtracted from each other. Like terms always have the same variable (with the same exponent) attached to them. For example, you can add 1 "x-squared" to 2 "x-squareds" and get 3 "x-squareds", but 1 "x-squared" plus an "x" can't be combined because they're not like terms.
Let's identify some like terms below.
f(x)=−4x+3x2−7+9x−12x2−5x4
Here you can see that -4x and 9x are like terms. When we combine (add) -4x and 9x, we get 5x. So let's write 5x instead:
f(x)=5x+3x2−7−12x2−5x4
Let's do the same thing with the x-squared terms:
f(x)=5x+3x2−7−12x2−5x4
f(x)=5x−9x2−7−5x4
Now there are no like terms left. Our last step is to organize the terms so that x is written in descending power:
f(x)=−5x4−9x2+5x−7
Step-by-step explanation:
Answer: -9 degrees Celsius
Step-by-step explanation: You subtract two degrees from -3 and get -5 (-3-2=-5). Then, you subtract 4 degrees from -5 and get the answer of -9 degrees Celsius.
Answer:
1/2x+5=10
subtracting 5 from both sides 1/2x+5-5=10-5
1/2x=5
divide both sides by 1/2
1/2x÷1/2=5÷1/2
x=5×2/1
x=10
Answer:
x = 50
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other two sides , then
x² = 48² + 14² = 2304 + 196 = 2500 ( take the square root of both sides )
x = 
= 50
Answer: y = 3/2x + 4
Explanation:
When you count on the graph, you can see that you have to move three spaces up and 2 spaces to the right to get to the next point. So that means our slope of the equation is 3/2
When we look at the y axis, we can see that the line intercepts it at (0,4). That would make our y intercept 4
So the equation would be y = 3/2x + 4
