All categories

2 years ago

Expand each expression and collect like terms -3(2p-3q)

Mathematics

1 answer:

sertanlavr [38]2 years ago

7 0

Answer

(-3 * 2p) - (-3 * 3q)

Step-by-step explanation:

I dunno how to explain it but that's it

You might be interested in

PLEASE HELP!! SOON AS POSSIBLE.

Klio2033 [76]

2/15

90 ÷ 6 = 15

Theoretical probability would be 15 due to the equation above

7 0

2 years ago

Find the equation of the line that passes through the point of intersection of x + 2y = 9 and 4x -2y = -4 and the point of inter

Rudik [331]

Answer:

$y=-6x+10$

Step-by-step explanation:

The point of intersection of

$x+2y=9...eqn1$

and

$4x-2y=-4...eqn2$

is the solution of the two equations.

We add equation (1) and equation(2) to get,

$x+4x+2y-2y=9+-4$

$\Rightarrow 5x=5$

$\Rightarrow x=1$

We put $x=1$ into equation (1) to get,

$1+2y=9$

$\Rightarrow 2y=9-1$

$\Rightarrow 2y=8$

$\Rightarrow y=4$

Therefore the line passes through the point, $(1,4)$ .

The line also passes through the point of intersection of

$3x-4y=14...eqn(3)$

and

$3x+7y=-8...eqn(4)$

We subtract equation (3) from equation (4) to obtain,

$3x-3x+7y--4y=-8-14$

$\Rightarrow 11y=-22$

$\Rightarrow y=-2$

We substitute this value into equation (4) to get,

$3x+7(-2)=-8$

$3x-14=-8$

$3x=-8+14$

$3x=6$

$x=2$

The line also passes through

$(2,-2)$

The slope of the line is

$slope=\frac{4--2}{1-2} =\frac{6}{-1}=-6$

The equation of the line is

$y+2=-6(x-2)$

$y+2=-6x+12$

$y=-6x+10$ is the required equation

4 0

2 years ago

Which description is correct for the x-intercept(s) of Function A and Function B?

ArbitrLikvidat [17]

Answer:

Step-by-step explanation:

Generally,

A straight line equation is given as

y = mx + c

Where,

m is the slope or gradient of the line

c is the intercept of y axis, when x = 0

Now,

Given the function A

g(x) = 0 7 0 2 -2

x = -2 3. 5 -1 0

So, we said the intercept c is when x = 0,

Therefore, in this case when x=0, g(x) = -2

Then, the intercept is -2 on y axis

Then, it has only one intercept, which is -2 on y-axis

To get the intercept on x axis, we will set y to zero,

In this case,

g(x) = 0, then, we have the intercept on x-axis to be -2 and 5

So it has 2-intercept on x axis, one positive and one negative

Given the function B

F(x) = |x| - 3

Comparing this to equation of a line, y= mx + c,

Then we notice that, the intercept is -3

Then, it has only one intercept which is -3 on y axis.

Now, to get the intercept on x axis, we will set f(x) = 0

F(x) = |x| - 3

0 = |x| - 3

Then, |x| = 3

Then, x = 3 or -x =3

Note that, |x| means x and -x

Then, x = 3 or x = -3

So it has also two intercept on the x axis, one positive and one negative.

Then, the third option is the correct option

Both functions have one negative and one positive x-intercept.

5 0

2 years ago

Question in the photo

ivann1987 [24]

Answer:

the exponent of x is 4

Step-by-step explanation:

The applicable rules of exponents are ...

(a^b)/(a^c) = a^(b-c)

a^-b = 1/a^b

$\dfrac{6xy^{-2}}{x^{-3}}=\dfrac{6x^{1-(-3)}}{y^2}=\dfrac{6x^4}{y^2}$

6 0

2 years ago

What is the vertex f(x) = 10x^2 + 20x -11

aniked [119]

Answer:

You and me together

Step-by-step explanation:

;) Think about it 10x meaning looks 10 20x is me obvs and 11 negative. Sorry it's not meant to be:(

7 0

2 years ago