this can be turned into an equation to be solved more easily. so the amount of bananas can be x. there are 17 peaches. So the equation would be:
(17 - 3) ÷ 2 = x
you begin with what's inside the parenthesis
17 - 3 = 14.
14 ÷2 = 7
x = 7
there are 7 bananas in the bag of bananas
Answer:
Step-by-step explanation:
Okay, so I think I know what the equations are, but I might have misinterpreted them because of the syntax- I think when you ask a question you can use the symbols tool to input it in a more clear way, otherwise you can use parentheses and such.
Problem 1:
(x²)/4 +y²= 1
y= x+1
*substitute for y*
Now we have a one-variable equation we can solve-
x²/4 + (x+1)² = 1
x²/4 + (x+1)(x+1)= 1
x²/4 + x²+2x+1= 1
*subtract 1 from both sides to set equal to 0*
x²/4 +x^2+2x=0
x²/4 can also be 1/4 * x²
1/4 * x² +1*x² +2x = 0
*combine like terms*
5/4 * x^2+2x+ 0 =0
now, you can use the quadratic equation to solve for x
a= 5/4
b= 2
c=0
the syntax on this will be rough, but I'll do my best...
x= (-b ± √(b²-4ac))/(2a)
x= (-2 ±√(2²-4*(5/4)*(0))/(2*(5/4))
x= (-2 ±√(4-0))/(2.5)
x= (-2±2)/2.5
x will have 2 answers because of ±
x= 0 or x= 1.6
now plug that back into one of the equations and solve.
y= 0+1 = 1
y= 1.6+1= 2.6
Hopefully this explanation was enough to help you solve problem 2.
Problem 2:
x² + y² -16y +39= 0
y²- x² -9= 0
To find the intercepts, we can set the opposite variable equal to 0 and solve.
Let's find the x intercept first.
5x - 4(0) = -20
5x = -20
Divide both sides by 5.
x = -4
<h3>The x intercept is -4.</h3>
Now let's find the y intercept.
5(0) - 4y = -20
-4y = -20
Divide both sides by -4.
y = 5
<h3>The y intercept is 5.</h3>
