2(x+5)-4x=3(x-2)-5x+16 true or false

Mathematics

1 answer:

Rufina [12.5K]3 years ago

6 0

Answer:

True

Step-by-step explanation:

sorry need the pointes

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Ten more than half of a number is eight less than twice the number. What is the number?

Neporo4naja [7]

Ten (10) more than (+) half ( $\frac{1}{2}$ ) of a number (x) is (=) eight (8) less than (-) twice (2 x ) the number (x).

$\frac{1}{2}$ x + 10 = 2x - 8 Multiply both sides by 2
x + 20 = 4x - 16 Subtract x from both sides
20 = 3x - 16 Add 16 to both sides
36 = 3x Divide both sides by 3
12 = x

8 0

3 years ago

Write a system of two equations in two variables where one equation is quadratic and the other is linear such that the system ha

PilotLPTM [1.2K]

Answer:

This system has no solution:

y = x²

y = 0 · x - 1

Step-by-step explanation:

Hi there!

I propose these two equations:

y = x²

y = 0 · x - 1

This system has no solution because in the quadratic function "y" is always positive for every value of "x", while in the linear function "y" is always -1 for every value of "x". Then, there will not be a pair (x,y) shared by both functions.

In other words, there is no value of "x" that satisfies this expression:

x² = 0 · x - 1

In the attached graphic, you can see that both curves never touch (in red is the quadratic function and in blue is the linear function), hence, the system has no solution.

Have a nice day!