Answer:
x = 1
, y = 3 thus: A is your Anser
Step-by-step explanation:
Solve the following system:
{2 x + y = 5 | (equation 1)
x + y = 4 | (equation 2)
Subtract 1/2 × (equation 1) from equation 2:
{2 x + y = 5 | (equation 1)
0 x+y/2 = 3/2 | (equation 2)
Multiply equation 2 by 2:
{2 x + y = 5 | (equation 1)
0 x+y = 3 | (equation 2)
Subtract equation 2 from equation 1:
{2 x+0 y = 2 | (equation 1)
0 x+y = 3 | (equation 2)
Divide equation 1 by 2:
{x+0 y = 1 | (equation 1)
0 x+y = 3 | (equation 2)
Collect results:
Answer: {x = 1
, y = 3
Answer:
Step-by-step explanation:
4/5 x - 2 > 3/10 * 2x
4/5 x - 2 > 3/5 x
4/5 x - 2 - 3/5x> 0
1/5x > 2
x > 10
Quadratic formula
factoring
graphing
completing the square
factoring by grouping
Rational Roots Theorem
synthetic division
Take a look at <span>5x^2 – 34x + 24 = 0. The last term could have been the result of these different possible muliplications: 1*24, 2*12, 3*8, 4*6. The leading term is 5, whose factors are 5 and 1. Thus, possible rational roots would be
4/5 (the 4 is a factor of 24 and the 5 is a factor of 5) and 6/1 (the 6 is a factor of 24 and the 1 is a factor of 5).
Using synth. div. to check whether 6 is actually a root:
___________________
6 / 5 -34 24
30 -24
------ --------------------------
5 -4 0
since the remainder is 0, we can safely call 6 a "root."
Note the remaining coefficients, 5 and -4:
They correspond to the factor 5x - 4. If we set this difference = to 0, and solve for x, we get x = 4/5 (which is correct).
The roots of </span><span>5x^2 – 34x + 24 = 0 are x = 4/5 and x= 6/1.</span>
Answer:
The correct answer is first option m<2 + m<3
Step-by-step explanation:
From the figure we can see a triangle with angles, <1, <2 and <3
By angle sum property we can write,
m<1 + m< 2 + m<3 = 180°
m<1 = 180 - (m<2 + m<3) ----(1)
Also we know that, <1 and <4 are linear pairs
m<1 + m<4 = 180°
m<1 = 180 - m<4 ---(2)
Compare (1) and (2) we get
m<4 = m<2 + m<3
Answer:
20x² + 25 x + 8
Step-by-step explanation:
f(x) = 4x² + 5x + 3
g(x) = 5x -7
Then:
g(f(x)) = 5(4x² + 5x + 3) -7
g(f(x)) = 20x² + 25x + 15 - 7
g(f(x)) = 20x² + 25x + 8
