Answer:
1. x=1
2. x=7
Step-by-step explanation:
1. -8(1+4x)+7x=-25-8x
-8-32x+7x=-25-8x
8x-32x+7x=-25+8
-17x=-25+8
-17x=-17
2. -5+6(x-7)=-40+5x
-5+6x-42=-40+5x
-47+6x=-40+5x
x=47-40
x=7
Answer:
The initial value of the linear relationship is 
Step-by-step explanation:
we know that
The y-intercept is the value of y when the value of x is equal to zero
The initial value is the value of the linear function when the value of x is equal to zero
therefore
The initial value is the y-coordinate of the y-intercept of the linear function
Observing the graph
The y-intercept is the point 
so
For 
The value of y is equal to
Salutations!
Insert brackets to make this calculation right 4x2+5-3
The brackets should be inserted outside 2+5. If you add brackets outside teh rest of the numbers the calculation would not make sense.
4 × (2 + 5) - 3
Hope I helped (:
have a great day!
Answer:
10
Step-by-step explanation:
f(x) = 3x + 1
f(3)= 3 * 3 + 1 + 10
Considering that the grows at a constant rate we can form an equation where x = how many years after it was planted
and y = its height
Now we just need to find how many feet it grows each year. To do that we just need to compare its height from a certain age to another:
6 years after it was planted : 7 feet,
so x=6 and y = 7
9 years after it was planted: 16 feet
so x= 9 y=16
With thay we can conclude that in 3 years , the tree grew 9 feet. To discover how much the tree grow each year we just nee to divide 9 feet by 3 years which is 3 feet every year.
To write the equatopn now we just need to find the y-intercept which we can discover by setting x to 0:
If in 6 years after the tree was planted it is 7 feet long , we can discover how long it was when it was planted by subtracting 6 years of growth (The slope ) which is 3
7 - 6(years)×3(feet the tree grow each year)
7 - 18 = -11
The tree was -11 feet long when it was planted
which is our y-intercept
( I know it doesnt make sense , but if you apply to a graph it will make more sense )
Now we can make the equation
y = 3x -11
