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4 years ago

I need the answer for number 2

Mathematics

1 answer:

Advocard [28]4 years ago

7 0

<h3>I'll teach you how to solve -2/3 - 3/5</h3>

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-2/3 - 3/5

LCM of 3 and 5 is 15

Adjust fractions based on the LCM:

-10/15 - 9/15

Since the denominators are equal combine the fractions:

-10-9/15

Subtract the numbers:

-19/15

Apply fraction rule:

- 19/15

Your Answer Is The Second Option - 19/15

plz mark me as brainliest :)

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Which is the equation of Line B?

notka56 [123]

Slope-Intercept Form: y = mx + b, with m = slope and b = y-intercept
Slope Formula: $\frac{y_2-y_1}{x_2-x_1}$

So firstly, to find the slope of this equation, plug the two points, (1,1) and (-3,2), into the slope formula and solve as such:

$\frac{1-2}{1-(-3)}=-\frac{1}{4}$

Next, plug either one of the points into the x and y coordinates to solve for b as such:

$2=-\frac{1}{4}*-3+b\\2=\frac{3}{4}+b\\\frac{5}{4}=b$

<u>Our final equation is $y=-\frac{1}{4}x+\frac{5}{4}$ , or the third option.</u>

8 0

3 years ago

What is the average rate of change of f(x) = -x2 + 3x + 6 over the interval –3

Rufina [12.5K]

Answer:

$\frac{\Delta y}{\Delta x} =\frac{f(x_2)-f(x_1)}{x_2-x_1} =\frac{6-(-12)}{3-(-3)} =\frac{18}{6}= 3$

Step-by-step explanation:

To find the average rate of change of a function over a given interval, basically you need to find the slope. The mathematical definition of the slope is very similar to the one we use every day. In mathematics, the slope is the relationship between the vertical and horizontal changes between two points on a surface or a line. In this sense, the slope can be found using the following expression:

$Average\hspace{3}rate\hspace{3}of\hspace{3}change=Slope=\frac{y_2-y_1}{x_2-x_1} =\frac{f(x_2)-f(x_1)}{x_2-x_1}$

So, the average rate of change of:

$f(x)=-x^2+3x+6$

Over the interval $-3$

Is:

$f(x_2)=f(3)=-(3)^2+3(3)+6=-9+9+6=6\\\\f(x_1)=f(-3)=-(-3)^2+3(-3)+6=-9-9+6=-12$

$\frac{\Delta y}{\Delta x} =\frac{f(x_2)-f(x_1)}{x_2-x_1} =\frac{6-(-12)}{3-(-3)} =\frac{18}{6}= 3$

Therefore, the average rate of change of this function over that interval is 3.

3 0

3 years ago

Find m∠XYW and m∠WYZ m

makvit [3.9K]

Answer:

<XYZ = 117°

<XYW+ WYZ = 117°

(6x+44)+(-10x+65)= 117°

6x+44-10x+65= 117°

-4x+ 109= 117°

-4x= 117-109

-4x= 8

x= 8/-4

x= -2

<XYW= 6x+44= 6×-2+44= -12+44= 32°

<WYZ= -10x+65 = -10×-2+ 65= 20+65= 85°

Step-by-step explanation:

7 0

3 years ago

18. Find the inverse of {(4, -1), (3, -2), (6, 9), (8, 5)}.

nadezda [96]

An inverse function will simply reverse the coordinate pairs of the original function. If f(x)=(x,y), f^-(x)=(y,x).

So 18 is H

...

If f(x)=y=3x-4, to find the inverse function, solve for x, and then reverse the labels as seen below...

y=3x-4

y+4=3x

(y+4)/3=x so the inverse function is:

y=(x+4)/3

5 0

3 years ago

Matrix addition is shown here.

Elanso [62]

Answer:

The value of s=10

Step-by-step explanation:

11+(-1)=10

6 0

3 years ago