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strojnjashka [21]
3 years ago
11

What is the best way to find the solutions of the equation 5x^2 - 2x - 6= 0, and why?

Mathematics
1 answer:
lara31 [8.8K]3 years ago
6 0

What are you trying to find? For example the x intercepts? y intercepts? vertex form? etc.

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Find the slope of the function f ( x ) = 5x/2 + 3, by the definition of limit. Express answer as a fraction using the "/" key as
musickatia [10]

\huge{\boxed{\frac{5}{2}}}

Slope-intercept form is f(x)=mx+b, where m is the slope and b is the y-intercept.

\frac{5x}{2}=\frac{5}{2}x, so change the equation to represent this. f(x)=\frac{5}{2}x+3

Great! Now the function is in slope-intercept form, so we can just see that m, or the slope, is equal to \boxed{\frac{5}{2}}

3 0
3 years ago
Which graph below shows the solutions for the linear inequality y>- 1/3x + 1
aliina [53]

The graph that shows the solutions for the inequality, y > -1/3x + 1 is: C. Graph A.

<h3>How to Find the Graph of a Linear Inequality?</h3>

The inequality sign, ">" means that the graph of the inequality has a dashed line where the shaded part is above the boundary line and the boundary line is dashed or dotted. If "≥" is used, the boundary line would not be dashed or dotted and the shaded area would be above it.

On the other hand, "<" is used when the shaded area is below the boundary line and the boundary line is a dashed line. If "≤" was used, the boundary line won't be dashed or dotted, while the shaded area would be below the boundary line that is not dotted.

Given y > -1/3x + 1, the slope (m) = change in y / change in x is -1/3.

Graph A has a slope of -1/3 and the shaded part is above the boundary line.

Therefore, the graph that shows the solutions for y > -1/3x + 1 is: C. Graph A.

Learn more about inequality graph on:

brainly.com/question/24372553

#SPJ1

8 0
2 years ago
On the basis of data collected during an experiment, a biologist found that the growth of a fruit fly population (Drosophila) wi
Ket [755]

Answer:

(a). 15

(b). 78

Step-by-step explanation:

Growth of the population of a fruit fly is modeled by

N(t) = \frac{600}{1+39e^{-0.16t} }

where t = number of days from the beginning of the experiment.

(a). For t = 0 [Initial population]

N(0) = \frac{600}{1+39e^{-0.16\times 0} }

       = \frac{600}{1+39}

       = \frac{600}{40}

       = 15

Initial population of the fruit flies were 15.

(b).Population of the fruit fly colony on 11th day.

N(11) = \frac{600}{1+39e^{-0.16\times 11} }

       = \frac{600}{1+39e^{-1.76} }

       = \frac{600}{1+39\times 0.172 }

       = \frac{600}{1+6.71}

       = \frac{600}{7.71}

       = 77.82

       ≈ 78

On 11th day number of fruit flies colony were 78.

3 0
3 years ago
How many interior angles in this polygon
serious [3.7K]
I believe it has 8 angles, each are 135 degrees
sorry if its wrong
4 0
2 years ago
Read 2 more answers
The area of rectangle ABCD is 28 cm^2
Sonbull [250]

The length of AB is (x + 4) cm and the values of a and be are a = 10, b = 4

A rectangle is a quadrilateral in which opposite sides are equal and parallel to each other. The area of a rectangle is:

Area = length * width

From the image:

Length of AB = x + 4

Length of BC = x + 6

The area of rectangle ABCD = Length of AB * Length of BC

28 = (x + 4)(x + 6)

x² + 10x + 24 = 28

x² + 10x = 4

Comparing with x² + ax = b gives:

a = 10, b = 4

Therefore the length of AB is (x + 4) cm and the values of a and be are a = 10, b = 4

Find out more at: brainly.com/question/15019502

8 0
2 years ago
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