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3 years ago

Hi I need help thinking about an accurate linear situation in real life

Mathematics

1 answer:

77julia77 [94]3 years ago

6 0

Answer:

bhj

Step-by-step explanation:

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What are the solutions to the following system of equations? y = x2 + 3x − 7 3x − y = −2 (2 points) (3, 11) and (−3, −7) (11, 3)

Minchanka [31]

ANSWER

(3, 11) and (−3, −7)

EXPLANATION

The given system of equations are:

$y = {x}^{2} + 3x - 7$

and

$3x - y = - 2$

or

$y = 3x + 2$

We equate the two equations to obtain,

${x}^{2} + 3x - 7 = 3x + 2$

We rewrite in standard quadratic form to obtain,

${x}^{2} + 3x - 3x - 7 - 2 = 0$

This simplifies to

${x}^{2}- 9= 0$

We solve for x to obtain,

${x}^{2} = 9$

$x = \pm \sqrt{9}$

$x = \pm 3$

$x = 3 \: or \: x = - 3$

When
$x = 3$

$y = 3(3) + 2 = 11$

When x=-3,

$y = 3( - 3) + 2 = - 7$

Therefore the solution for the system is (3, 11) and (−3, −7).

7 0

3 years ago

Read 2 more answers

Identify which of the twelve basic functions listed below fit the description given. The three functions that are bounded above.

Irina18 [472]

Answer:The Sine function:

(

)

sin

(

)

The Cosine function:

(

)

cos

(

)

and

The Logistic function:

(

)

−

are the only function of the "Basic Twelve Functions" which are bounded above.

Step-by-step explanation:

8 0

4 years ago

Using the unit circle, determine the value of cos(-150°).

elena-14-01-66 [18.8K]

<h3>Answer: $-\frac{\sqrt{3}}{2}$ </h3>

Explanation:

The identity we'll use is cos(-x) = cos(x) for any value of x.

So cos(-150) = cos(150).

Then locate the angle 150 on the unit circle. The terminal point is $\left(-\frac{\sqrt{3}}{2}, \frac{1}{2}\right)$

The x coordinate of this terminal point is the value of cos(150).

5 0

3 years ago

Read 2 more answers

Given the function F (x) = x2 -2x -5 determine the average rate of change of the function over the interval -5 < x <6.

KengaRu [80]

Answer:

Step-by-step explanation:

Here f(x) = x^2 - 2x - 5, which at x - -5 is 25 +10 - 5 = 30 and at x = 6 is 19.

The average value of a function f(x) over an interval [a, b] is

f(b) - f(a)

ave. val. = ---------------

b - a

which in this particular case is

19 - 30

ave. val. = ----------------- = -11/11 = 1

6 - (-5)

The average value of this function f(x) = x^2 - 2x - 5 on [-5, 6] is 1.

4 0

3 years ago

Please answer the everything thank you ! i'll mark the brainlest!!!!! :)

kari74 [83]

Answer:

1. a. 2 KM ; b. 9000 m

2. a. 9 L ; b. 3000 g

3. a. 6000 ml ; b. 9

4. a. 60 mm ; b. 4000 m

5. a. 1 km ; b. 2 kg

6. a. 5 ; b. 4 m

7. a. 4000 ml ; b. 3000

8. a. 10 kg ; b. 20 mm

9. a. 10 km ; b. 9kg

10. a. 4 kg ; 8 l

4 0

4 years ago