Answer:
x= -4
Step-by-step explanation:
<h3>-2x-8=2x+8 or, -2x-8-2x-8=0 or,-4x-16=0 or,-4(x+4)=0 or,x+4=0 or,x= -4</h3>
Answer:
Step-by-step explanation:
Given: Figure
To find: distance from the right center field fence to third base
Solution:
In a right angled triangle,
using Pythagoras theorem, square of hypotenuse is equal to sum of squares of base and perpendicular.
In ΔBAC,
So,
distance from the right center field fence to third base is 381.5 foot.
Answer:
Anthony mother's has enough flour for each of Anthony's friends to get a cupcake.
Step-by-step explanation:
Let suppose that Anthony and his friend will receive at least one cupcake, which means that Anthony's mother should make at least 9 cupcakes ( dozens).
From statement we notice that quantity of cupcakes is directly proportional to the quantity of flour.
According to the recipe, the required amount of flour and cupcakes are, respectively:
Flour
Cupcakes
If Anthony's mother has 1 cup of flour at her disposal, the amount of cupcakes is obtained by simple rule of three:
In a nutshell, Anthony mother's has enough flour for each of Anthony's friends to get a cupcake.
0 isn't one of them. There are 5 altogether. That comes from 7x^5. The 5 determines how many roots will solve the polynomial.
1 won't work either. Nor will minus 1. Both leave remainders. The only way to get started is to do this by brute force. Go down the list and see who gives a zero.
According to this graph, none of them work. There is one solution and it is marked on the graph. The 1 solution is just larger than -1. Check the question again and if it is different, put a comment at the bottom.
Answer:
15 is your answer.
Step-by-step explanation:
Let "a number" = x
"Three times a number increase(d) by 4" = 3x + 4
"...is the same as" = "="
"four times that number decreased by 11" = 4x - 11
Set the equation:
3x + 4 = 4x - 11
Isolate the variable, x. Subtract 4x and 4 from both sides:
3x (-4x) + 4 (-4) = 4x (-4x) - 11 (-4)
3x - 4x = -11 - 4
Simplify. Combine like terms:
-x = -15
Isolate the variable, x. Divide -1 from both sides:
(-x)/-1 = (-15)/-1
x = (-15)/(-1)
x = 15
15 is your answer.
~