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daser333 [38]
3 years ago
7

Please solve the following quadratic equation and show your work: x^2 -x =30

Mathematics
1 answer:
saveliy_v [14]3 years ago
8 0
Rewriting the equation as a quadratic equation equal to zero:
     x^2 - x - 30 = 0
We need two numbers whose sum is -1 and whose product is -30. In this case, it would have to be 5 and -6. Therefore we can also write our equation in the factored form
     (x + 5)(x - 6) = 0
Now we have a product of two expressions that is equal to zero, which means any x value that makes either (x + 5) or (x - 6) zero will make their product zero.
     x + 5 = 0  => x = -5
     x - 6 = 0  => x = 6
Therefore, our solutions are x = -5 and x = 6.
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Express 3cm: 3m in the ratio of its simplest form​
Dmitry_Shevchenko [17]

Answer:

1cm:100cm

Step-by-step explanation:

You have to convert the ratio into the same unit (I chose cm). If there are 100cm in a metre, there will be 300cm in 3m.

That leaves you with the ratio 3cm:300cm. To simplify, divide both sides by three leaving you with 1cm:100cm

3 0
3 years ago
Read 2 more answers
Complete ?:44=2:11<br> (Please help me )
Aleks04 [339]

Answer:

? = 8

Step-by-step explanation:

well

x/44 = 2/11

44 is greater than 11 by 4 times. so to get an equal fraction you need to multiply 2 by 4 to get 8. that way you get 8/44 which would simplify by dividing by 4 to get 2/11

4 0
2 years ago
Question 4 please. I will mark brainliest!! i would at least like the equation of the graph thank you
Anestetic [448]

Answer:

a. -3 < x ≤ 5

b. -3 ≤ y < 3

c.  (0, 0)

d. x = -3, x = 1, x = 5

e. -3 < x ≤ - 1, and 1 ≤ x ≤ 3,

f. (-1, -1), and (3, -3)

Step-by-step explanation:

a. The domain of a function is the set of the possible independent variable values which is -3 < x ≤ 5

b. The range of a function is the set of the possible values of the dependent variable which is -3 ≤ y < 3

c. The y-intercept is the point the graph crosses the y-axis

The y-intercept in the graph is the point (0, 0)

d. f(x) ≥ 0  when x = -3, x = 1, x = 5

f(x) ≥ 0 over the following range; -3 < x ≤ - 1.5, 0 ≤ x ≤ 1.5, 4.5 ≤ x ≤ 5

e. The intervals over which f(x) is decreasing are;

-3 < x ≤ - 1, and 1 ≤ x ≤ 3,

f. The local minimums where f(x) has the minimum values are;

(-1, -1), and (3, -3)

3 0
3 years ago
The figure below shows a shaded region and a nonshaded region. Angles in the figure that appear to be right angles are right ang
serious [3.7K]
16 x 8 = 128 square feet (area of rectangle)

shaded:
8 x 2 = 16
10 x 1 = 10
1/2 (3)(10) = 15

total shaded area: 16+10+15 = 41 square feet
total non-shaded area = 128 - 41 = 87 square feet

answer

area of the shaded region = 41 square feet
area of the non - shaded region = 87 square feet
5 0
3 years ago
The deer population in a certain state park doubles every year. In the year 2010, there were 30 deer in the park. Which function
Gala2k [10]

Answer:

y = 30(2)^x

Step-by-step explanation:

Initial deer population = 30 (in 2010)

Every year, deer population doubles ; this means there is an 100% increase in the population every year ;

Hence, using the exponential growth relation :

Final = initial * (1 + rate)^year

Here,

Final population y ; x years after 2010

Rate = 100% = 1

Hence,

y = 30(1 + 1)^x

y = 30(2)^x

7 0
2 years ago
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