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2 years ago

Which function has the greater rate of change?

Mathematics

1 answer:

Gnoma [55]2 years ago

3 0

Answer:

Function 1

Step-by-step explanation:

<u>Function 1:</u>

$y=\dfrac{5}{6}x+10$

The rate of change of the function 1 is:

$\dfrac{5}{6}\approx 0.83$

<u>Function 2:</u>

The rate of change of the function 2 is:

$\dfrac{15.75-14.25}{1-(1)}=\dfrac{1.5}{2}=0.75$

Hence, the greater rate of change has function 1.

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Solve the equation 2x^2-3x-6=0 give your answer correct to two decimal places

IRISSAK [1]

Answer:

Step-by-step explanation:

2x² - 3x - 6 = 0

Using the quadratic formula

$x = \frac{ - b± \sqrt{ {b}^{2} - 4ac} }{2a}$

a = 2 , b = - 3 , c = 6

Substituting the values into the above formula

We have

$x = \frac{ - - 3± \sqrt{ { - 3}^{2} - 4(2)( - 6)} }{2(2)}$

$x = \frac{3± \sqrt{9 +48 } }{4}$

$x = \frac{3± \sqrt{57} }{4}$

$x = \frac{3 - \sqrt{57} }{4} \: \: \: \: or \: \: \: \: \: x = \frac{3 + \sqrt{57} }{4}$

We have the final answer as

Hope this helps you

6 0

3 years ago

Which value of y will make the inequality y < -1 false ?

scoray [572]

Hello!

Since y has to be less than -1 to make it false y has to be greater than -1

The answer 2 or just any number that is greater than -1

Hope this helps!

6 0

2 years ago

WARRIOR [948]

Answer:

Fre sha vaca do

Step-by-step explanation:

fresh avocado.

8 0

2 years ago

Which polygons are congruent?<br><br> Select <img src="https://tex.z-dn.net/?f=%5Cbold%7Beach%7D" id="TexFormula1" title="\bold{

gregori [183]

<h3>Answer: Everything but the lower right hand corner</h3>

==============================

Explanation:

Notice for the corners mentioned, we have the figures with corresponding angles that are the same (shown by similar arc markings) and they have congruent corresponding sides as well (aka they are the same length shown by similar tickmarks). Rotating one figure has it transform into the other.

The only time this does not happen is with the pair of figures in the bottom right hand corner. One square has side lengths of 20, the other has side lengths of 25. The two figures are not congruent due to the side mismatch.

8 0

2 years ago

Please answer this :(

mojhsa [17]

Answer:

68.9°

Step-by-step explanation:

Using Sine rule

x/sin X = y/sin Y

4.5/sin X = 4/sin 56

sin X × 4 = 4.5 × sin 56

sin X = 4.5 × sin 56/4

X = arc sin (4.5 × sin 56/4)

X = 68.85449°

Approximately = 68.9°

4 0

2 years ago