For the first question asking about the slope 3/4 and y intercept -2 would be (y=0.75x-2) because 3/4=0.75 and the y intercept -2 is b and you’re just placing it into the formula y=Mx+b m=slope b=y intercept.
Direct variation means that changes in x will result to changes in y. If x increase, y also increases and vice versa.
y = kx
k = y / x
y = 45 ; x = 40
k = 45/40
k = 1.125
y = 1.125x
y will increase by 1.125 interval of x.
Answer:
Volume = 66 cm³
Step-by-step explanation:
Area of the oblique triangular prism = Area of the triangular base × Vertical height from the base
From the figure attached,
Area of the triangular base = 
= 
= 6 cm²
Vertical height of the given oblique prism = 11 cm
Volume of the given oblique prism = 6 × 11
= 66 cm³
Answer: x = $7, y = $6
Step-by-step explanation:
Let x be the cost of an adult ticket
Let y be the cost of a children's ticket
Translate these sentences to algebra:
At the circus, three adult tickets and five child tickets cost $51: 3x + 5y = 51
Five adult tickets and two child tickets cost $47: 5x + 2y = 47
Now we have two equations. Let's use substitution to solve.
3x + 5y = 51
3x = 51 - 5y
.: x = 17 - 5y/3
Now substitute this value of x into the second equation to find the numerical value of y:
5(17 - 5y/3) + 2y = 47
85 - 25y/3 + 2y = 47
-19y/3 = -38
-19y = -114
.: y = 6
Now find x:
x = 17 - 5y/3
x = 17 - 10
.: x = 7
So an adult ticket costs $7, and a child ticket costs $6 :)
The 5 in x - 5 needs to be negative in the table. So, change that and make everything else in that row negative.
You are then left with 3x^2 + x - 15x - 5
Simplify to 3x^2 - 14x - 5
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