The slope intercept form is:
y = mx + b
"m" is the slope, "b" is the y-intercept (the y value when x = 0)
Since you know the slope is -2, you can plug it into "m"
y = mx + b
y = -2x + b
To find "b", you can plug in the point (-3, 10) into the equation
y = -2x + b
10 = -2(-3) + b
10 = 6 + b Subtract 6 on both sides
4 = b
y = -2x + 4
Answer:
x=2 true solution
x=-3 extraneous
Step-by-step explanation:
sqrt(x+7) -1 = x
Add 1 to each side
sqrt(x+7) -1+1 = x+1
sqrt(x+7) = x+1
Square each side
(sqrt(x+7))^2 = (x+1)^2
x+7 = x^2 +2x+1
Subtract x from each side
7 = x^2 +x +1
Subtract 7 from each side
0 = x^2 +x - 6
Factor
0 = (x+3)(x-2)
Using the zero product property
x+3 = 0 x-2 =0
x=-3 x=2
Check solutions
x=-3
sqrt(-3+7) -1 = -3
sqrt(4) -1 = -3
3 =-3 extraneous
x=2
sqrt(2+7) -1 = 2
sqrt(9) -1 = 2
3 -1 =2
2 =2 true
<u><em>Answer:</em></u>
Yung bought 46 pieces of bubble gum for $4.6
<u><em>Explanation:</em></u>
We are given that each piece of gum cost $0.1 and that he spent $4.6 on gums
<u>To get the number of gums he bought, we will simply use cross multiplication as follows:</u>
1 piece .........................> 0.1
x pieces ......................> 4.6
<u>Therefore:</u>
pieces of gum
Hope this helps :)
I believe the answer is 5 because if however many times you can multiply 2.5 into 12.5, you get the answer of 5.