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Shalnov [3]
3 years ago
12

Solve 15 ≥ -3x or 2/5 x ≥ -2.

Mathematics
1 answer:
ipn [44]3 years ago
6 0

Answer:

x ≥ -5

Step-by-step explanation:

15≥-3x

<em>switch sides</em>

<em>-3x≤15</em>

<em>Multiply both sides by -1 (reverse the inequality)</em>

<em>(-3x)(-1)≥15(-1)</em>

<em>Simplify</em>

<em>3x≥-15</em>

<em>Divide both sides by 3</em>

<em>3x/3≥ -15/3</em>

<em>Simplify</em>

<em>x≥ -5</em>

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Write a quadratic equation in standard form that has 5 3 and 7 3 as its roots. A) 9x2 − 36x + 35 = 0 B) 9x2 + 36x − 35 = 0 C) 9x
Serggg [28]

Answer:

Option A)

9x^2 - 36x + 35 = 0

Step-by-step explanation:

We are given the following in the question:

Roots of quadratic equation are:

\alpha = \dfrac{5}{3}, \beta = \dfrac{7}{3}

The sum of the roots and the product of the roots can be calculated as:

\alpha + \beta = \dfrac{5+7}{3} = 4\\\\\alpha\beta = \dfrac{5}{3}\times \dfrac{7}{3} = \dfrac{5}{9}

Standard form of quadratic equation:

x^2-(\alpha + \beta)x+\alpha\beta = 0

Putting values, we get,

x^2 - 4x + \dfrac{35}{9} = 0\\\\9x^2 - 36x + 35 = 0

is the required quadratic equation.

Thus, the correct answer is

Option A)

9x^2 - 36x + 35 = 0

5 0
3 years ago
The doubling period of a bacterial population is 20 20 minutes. At time t = 100 t=100 minutes, the bacterial population was 9000
Nuetrik [128]

Answer:

The initial population was 2810

The bacterial population after 5 hours will be 92335548

Step-by-step explanation:

The bacterial population growth formula is:

P = P_0 \times e^{rt}

where P is the population after time t, P_0 is the starting population, i.e. when t = 0, r is the rate of growth in % and t is time in hours

Data: The doubling period of a bacterial population is 20 minutes (1/3 hour). Replacing this information in the formula we get:

2 P_0 = P_0 \times e^{r 1/3}

2 = e^{r \; 1/3}

ln 2 = r \; 1/3

ln 2 \times 3 = r

2.08 \% = r

Data: At time t = 100 minutes (5/3 hours), the bacterial population was 90000. Replacing this information in the formula we get:

90000 = P_0 \times e^{2.08 \; 5/3}

\frac{9000}{e^{2.08 \; 5/3}} = P_0

2810 = P_0

Data: the initial population got above and t = 5 hours. Replacing this information in the formula we get:

P = 2810 \times e^{2.08 \; 5}

P = 92335548

3 0
3 years ago
X^2-5x-6<br> X^2+3x-40<br> X^2+3x-4
luda_lava [24]

x² - 5x - 6

= x² + x - 6x - 6

= x(x + 1) - 6(x + 1)

= (x - 6) (x + 1)

x² + 3x - 40

= x² + 8x - 5x - 40

= x(x + 8) -5(x + 8)

= (x - 5) (x + 8)

x² + 3x - 4

= x² + 4x - x - 4

= x(x + 4) -1(x + 4)

= (x - 1) (x + 4)

4 0
3 years ago
A shirt that normally costs $35.00 is on sale for 28.00. What is the percent discount?
Olin [163]

Answer:

$25.20

Step-by-step explanation:

$35 x 0.28

= $9.80

35-9.80

= $25.20

3 0
3 years ago
Read 2 more answers
Determine the unknown angle measures in the figure
dusya [7]

Answer:

angle 3- 131

angle 2- 112

angle 5- 37

angle 1- 80

angle 4- 80

hope this helps :)- please crown me brainliest!!!

6 0
3 years ago
Read 2 more answers
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