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Semenov [28]
3 years ago
12

Find the value of the lesser root of x2 + 12x + 35 = 0.

Mathematics
1 answer:
matrenka [14]3 years ago
8 0
In quadratic equations,
                                   a + b = -B
                                      ab = C
where a and b are the roots, B is the second term, and C is the constant.
Substituting,
                                  a + b = -12
                                      ab = 35
The values of a and b from the equation is -7 and -5. Thus, the lesser root is -7. 
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Michele is starting a new pool-cleaning business. It costs her $85 to purchase supplies. Michele charges $40 each time she clean
Alex787 [66]

Answer:

Option A : y = 40x - 85 is the correct answer.

Step-by-step explanation:

Given that:

Cost of purchasing supplies = $85

Cost charged for cleaning a pool = $40

Let,

x be the number of pools cleaned.

y be the profit

Profit = Cost of pools cleaned - purchase price of supplies

y = 40x - 85

Hence,

Option A : y = 40x - 85 is the correct answer.

8 0
3 years ago
If the scale factor between two similar solids is 2:5, then the ratio of their lateral areas is 4:10
Lena [83]
No.
The ratio of the areas is the ratio of the squares of the scale factor.
So it's  2^2 : 5^2  = 4:25
7 0
3 years ago
In a box of chocolates, 1/5 of the chocolates contain nuts.
Rama09 [41]

Answer:

The ratio of the number of chocolates that contain nuts to the number of chocolates = 1:4

Step-by-step explanation:

The parameters given are;

Proportion of the box of chocolates that contain nuts = 1/5

Proportion of the box of chocolates that do not contain nuts = 1 - 1/5 = 4/5

Therefore, we have in a box of chocolates with five chocolates;

The number of chocolates that contain nuts = 1

The number of chocolates that do not contain nuts = 4

Which gives the ratio of the number of chocolates that contain nuts to the number of chocolates as 1:4.

6 0
3 years ago
Examine each set of functions and determine which has the greater rate of change, if either. Explain your reason.
dimaraw [331]

Answer:

The Spotted Cows delivery service has a greater rate of change.

Explanation

The Spotted Cows function is: y = 2.8x + 2

Dairy Farms function is: y = 2.1x + 10

I have graphed these two functions to determine which has a greater rate of change. The red line represents the Spotted Cow service while the blue represents the Dairy Farms service. On the graph you can see that the red line intersects and shifts above the blue line, meaning the rate increases at a higher rate than the blue.

Hope this helps!

6 0
3 years ago
Please need help urgent
Scrat [10]
Answers with explanations:

Problem 2-
First we have to insert our numbers into the equation. So we would have
l2l-l-7l
The ll bars mean to find the absolute value. Absolute value is how many spaces it is between that number and zero. So we can simply this to
2-7=-5

Problem 3-
First, we have to insert our numbers into the problem.
2(-2)^3(3)
Using PEMDAS or order of operations, we solve the exponent first and simplify from there
2(-8)(3)
(-16)(3)
(-48)
The answer is -48

Problem 4-
Again, we have to input the numbers into the equation.
(4^2-4(-3))/2
(16-4(-3))/2
(16+12)/2
(28)/2
14
The answer is 14

Problem 5-
(3)(-1)-(-1^2)
(3)(-1)-(1)
-3-1
-4
The answer is -4

Problem 7-
l-3-4l- -3^2
l-3-4l- +9
l-7| - +9
7-+9
-2
The answer is -2

Problem 8-
3(-3)^2-4|-3|+6
3(9)-4|-3|+6
27-4|-3|+6
27-12+6
21
3 0
3 years ago
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