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Firdavs [7]
3 years ago
15

Graph the function and identify the domain and range. y = –0.5x2

Mathematics
1 answer:
lawyer [7]3 years ago
5 0
Hello,

y=-0.5 x²
Domain : R (-infinty,+infinity)

Range  R- (-infinity,0)
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I’m not sure how to solve “system of equations”
natka813 [3]

Hey there! :)

Answer:

(2, -2)

Step-by-step explanation:

-2x + y = -6

4x + 3y = 2

We can begin by setting the first equation equal to y:

-2x + y = -6

Add 2x to both sides:

y = 2x - 6

Plug this equation for y into the second equation:

4x + 3(2x - 6) = 2

Distribute:

4x + 6x - 18 = 2

Combine like terms:

10x = 20

x = 2

Plug the value of 'x' into an equation to solve for 'y':

-2(2) + y = -6

-4 + y = -6

y = -2

Therefore, the solution is (2, -2)

7 0
3 years ago
The least common multiple of two numbers is 60, and one of the numbers is 7 less than the other number. What are the numbers?
storchak [24]
Step One - List the factors of 60.
Step Two - Locate the factors that are seven apart from each other.

Factors of 60:
1 × 60
2 × 30
3 × 20
4 × 15
5 × 12
6 × 10

60 - 1 = 59
30 - 2 = 28
20 - 3 = 17
15 - 4 = 11
12 - 5 = 7
10 - 6 = 4

5 is 7 less than 12, and 60 is their least common multiple.

Answer: 5 and 12 
8 0
3 years ago
What value of n solves the equation?
vampirchik [111]
2^n = 1/8

Try each one of the options in turn 

The question marks are negatives right?
7 0
3 years ago
On a hospital floor, 16 patients have a disease with a mortality rate of 0.1. Find the probability that two of them die. Round t
matrenka [14]

Answer:

The probability that two of them

die is 0.257

Step-by-step explanation:

From the question, we have that the mortality rate is 0.1

So the probability that they will survive is 1-0.1 = 0.9

Now, we want to check that two will die

We are going you use the Bernoulli approximation of the Binomial theorem as follows

= nCr * p^n * q^(n-r)

where n = 16

r = 2

P = 0.1

q = 0.9

Substituting these values;

14 C 2 * 0.1^2 * 0.9^12

= 0.257

6 0
2 years ago
Stephen uses \dfrac{2}{25}
zepelin [54]

Answer:

13\dfrac{3}{4}$ servings

Step-by-step explanation:

Stephen uses \dfrac{2}{25} kilograms of tofu in each serving of his dish.

He has 1\dfrac{1}{10} kilograms of tofu.

We want to determine how many servings Stephen can make.

To do this, we divide the total weight of tofu by the weight per serving.

\dfrac{\text{Total Weight(in kg)}}{\text{Weight(kg) per serving}} =\dfrac{1\dfrac{1}{10}}{ \dfrac{2}{25}}\\ = \dfrac{11}{10}\div  \dfrac{2}{25}\\\\= \dfrac{11}{10}X  \dfrac{25}{2}\\\\= \dfrac{11X25}{10X2}\\\\= \dfrac{275}{20}\\\\=13\dfrac{3}{4}$ servings

Stephen can make 13\dfrac{3}{4}$ servings .

6 0
3 years ago
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