Answer:
see below
Step-by-step explanation:
y = 8x − 9
y = 4x − 1
Since the two equations are both equal to y set them equal to each other
8x -9 = 4x-1
Subtract 4x from each side
8x - 9 -4x = 4x-1-4x
4x -9 = -1
Add 9 to each side
4x-9+9 = -1+9
4x = 8
Divide by 4
4x/4 = 8/4
x=2
Now find y
y =4x-1
y = 4(2) -1
y = 8-1
y = 7
(2,7)
The solution to the system of equations is where the two lines intersect. When the two lines are graphed, they will intersect at (2,7)
Answer:
X^2+ 2x+35
Step-by-step explanation:
Use pemdas. Multiply the parentheses. Multiply. Collect like terms. Remove the parentheses.
<h3>Answer:</h3>
87.5 ounces
<h3>Explanation:</h3>
There's a cute "X-diagram" tool that can be used for solving mixture problems of all kinds. (See the attachment.) The numbers on the left represent the percentages of the constituents of the mix. The number in the center is the desired percentage in the resultant mix. The numbers on the right in the X are the differences along the diagonals. (6-5=1, 5-3=2)
These are also the proportions of the constituents in the final mix. That is, there are 2 parts of spice that is 6% salt for each 1 part of spice that is 3% salt. So, we need half as much of the latter as the former.
Half of 175 ounces is 87.5 ounces, the amount of 3% spice that is needed.
_____
If you really want to write an equation, you can let x represent the amount of 3% spice needed. Then the amount of salt in the mix is ...
... 175×6% +x×3% = (175+x)×5%
Dropping the percent symbols and eliminating parentheses, we have
... 1050 +3x = 875 +5x
... (1050 -875) = (5x -3x) . . . . . add -875-2x
... 175/2 = x = 87.5 . . . . . . . . . . divide by the coefficient of x
Answer:
Check below for the answers
Step-by-step explanation:
Note: The options are not clearly expressed but below are the correct expressions for the trigonometric identities stated in the options.
Using the SOHCAHTOA principle
sin θ = Opposite / Hypotenuse
tan θ = opposite / Adjacent
Cot θ = 1 / tan θ = Adjacent / Opposite
cos θ = Adjacent / Hypotenuse
Answer:
i believe that it is x = 3
Step-by-step explanation:
hope this helps :)