Solve the system of equations. - - 10x + 3y = 5 x = y

Use the quadratic formula to find the solutions for.. y = 2x^2 - 9x + 5.

Yakvenalex [24]

Answer: $x=\frac{9}{4}-\frac{\sqrt{41} }{4} \\x=\frac{9}{4}+\frac{\sqrt{41} }{4}$

Step-by-step explanation:

$2x^2-9x+5$

a=2

b=-9

c=5

$x=\frac{-b\frac{+}{}\sqrt{b^2-4ac} }{2a}$

$x=\frac{-(-9)\frac{+}{}\sqrt{(-9)^2-4(2)(5)} }{2(2)}$

$x=\frac{9\frac{+}{}\sqrt{81-40} }{4}$

$x=\frac{9\frac{+}{}\sqrt{41} }{4}$

$x=\frac{9}{4}-\frac{\sqrt{41} }{4} \\x=\frac{9}{4}+\frac{\sqrt{41} }{4}$

4 0

3 years ago

Help me asp 25 points and will mark

denpristay [2]

Y=10x, 10 is the amount of money Miranda earns per hour , x is the amount of hours she works, y is the total amount of money she earns.
For Tommy’s earnings, use slope formula, which is y=y2-y1/x2-x1, take two random points from the table, (4,32) and (5,40)
(4,32) is (x1,y1). (5,40) is (x2,y2)
40-32/5-4= 8/1
The answer is 8. y=8x
Miranda earns more money per hour than Tommy.

8 0

3 years ago

How many grams of NH3 are required to produce 4.65 g of HF

nignag [31]

1.326 grams of NH3 are required to produce 4.65 g of HF.

Step-by-step explanation:

Balanced chemical reaction is written first to know the number of moles taking part in original reaction.

NH3 +3 F2 ⇒3 HF + NF3

Given:

mass of HF = 4.65

First the number of moles of HF in 4.65 grams is calculated by using the formula:

number of moles (n) = $\frac{mass}{atomic mass of 1 mole}$