Answer:
1) $8000
2) $1000
3) 8 months, since y represents our remaining amount to be paid, we set it equal to 0, to see when $0 need to be paid. Solving for x (months), we can it to be 8.
Step-by-step explanation:
We have the equation y = -1000x + 8000 which follows the linear equation:
y = mx + b, where m is our slope and b is our y-intercept
1) The initial balance can be found with our constant "b" which in this case is 8000. You can also plot the function of y and you will find that 8000 is the intercept when x = 0, aka the start
2) We can calculate the rate of change for when the loan is repaid by looking at the slope "m", in this case it is 1000. It subtracts 1000 each month, meaning $1000 is being payed and taken out of the bank account
3) To find how many months it will take for the loan to be repaid, let's solve for x when y = 0.
0 = -1000x + 8000
-8000 = -1000x
8 = x
It will take 8 months. Why? Since y represents our remaining amount to be paid, we set it = 0, to see when $0 need to be paid. Solving for x (months), we can it to be 8.
Let the number of raspberry bushes in one garden = x
And the number of raspberry bushes in second garden = y
Garden one has 5 times as many raspberry bushes as second garden,
So the equation will be,
x = 5y -------(1)
If 22 bushes were transplanted from garden one to the second, number of bushes in both the garden becomes same,
Therefore, (x - 22) = (y + 22)
x - y = 22 + 22
x - y = 44 ------(2)
Substitute the value of x from equation (1) to equation (2)
5y - y = 44
4y = 44
y = 11
Substitute the value of 'y' in equation (1),
x = 5(11)
x = 55
Therefore, Number of bushes in garden one were 55 and in second garden 11 originally.
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brainly.com/question/12422372
A rotation is a transformation that preserves figure shape, figure sizes, angles and lengths.
Therefore,
- option A is false, because rotation preserves sizes;
- option B is false, because rotation doesn't change the figure size;
- option C is true, because rotation preserves figure angles;
- option D is true, because rotation preserves lenghts of segments.
Answer: option C and D.
Answer:
Slope of the line is 
.
Step-by-step explanation:
Given points are:
(10, 3) and (7, 11)
Here,
x1 = 10 and y1 = 3
x2 = 7 and y2 = 11
Slope of a line is given by
Therefore,
Slope of the line is .
1/3 = 0.33
10 ÷ 0.33 = 30.30
she could plant 30 flowers.
(you can't have .3 of a plant so you get rid of the decimal)
