Answer:
5. It's halfway between the x-intercepts.
Step-by-step explanation:
The vertex is halfway between the two x-intercepts when parabola is coordinate of the vertex. The points and x and y intercept crosses the x-axis vertically so that a u shaped lines are formed. The quadratic equation is used to find the points on the parabola.
The first step for solving this equation is to collect the like terms with an r variable.
-r - 2 = -9
Now move the constant to the right side of the equation and then change its sign.
-r = -9 + 2
Calculate the sum on the right side of the equals sign.
-r = -7
Then lastly,, change the signs on both sides of the equation to find your final answer.
r = 7
This means that the correct answer to your question is going to be r = 7.
We can check this by putting 7 where r is in the equation. This means that in order to check this,, our equation will change to the following:
-8(7) - 2 + 7(7) = -9
We will first start checking this by multiplying the first two numbers together.
-56 - 2 + 7(7) = -9
Now multiply the 7 by the number in the parenthesis.
-56 - 2 + 49 = -9
Now use addition and subtraction rules to calculate the expression on the left side of the equals sign.
-9 = -9
This tells us that the equality us true because both sides of the equation are identical.
Let me know if you have any further questions.
:)
Answer:
100 silver coins and 175 bronze
Step-by-step explanation:
let x be the number of silver coins and y the number of bronze coins.
Worth of these coins together = 6x/(5)+0.08/(10)y
=1.2x+0.008y
Weight of one silver coin = 125/5 = 25 gm
and one bronze coin = 500/10 = 50 gms.
Weight of these coins together = 25x + 50y
Equate these two items i.e. value and weight to actuals given.
i.e. 1.2x+0.08y = 134 and ... i
25x+50y = 11 kg 250 gm = 11250 gms. ... ii
Divide the second equation by 25
x+2y = 450 ... iii
Multiply I equation by 25
30x+2y =3350 ... iv
iii-iv gives -29x = -2900 or
x =100
Substitute in x+2y = 450
2y = 350 or y =175
Answer: x = -5
Step-by-step explanation:
-3.4x - 9 = 8
+9 +9
-3.4x = 17
-3.4x ÷ -3.4 = x
17 ÷ -3.4 = <u><em>-5</em></u>
