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3 years ago

Factor completely 9ab + 12ax − 6b − 8x.

1 answer:

5 0

Okay so you split 9ab + 12ax - 6b - 8x
 into two 2-term polynomials 
 + 12ax + 9ab and - 6b - 8x
 doesn't look that good to me so lest try other one :
 9ab + 12ax and - 6b - 8x
 looks good for now

 Pull out from each binomial separately
 9ab + 12ax = 3a • (3b + 4x)
 - 6b - 8x = - 2 • (3b + 4x)

 Add up to arrive at the desired factorization so now you have
 (3a - 2) • (3b + 4x)
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Hope that Helped!

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Each students in class 38 students was asked to report how many siblings he has. Data a 0/38 Data b 1/38 Data c 13/38 Data 8/38

Nezavi [6.7K]

Answer:

8/38

Step-by-step explanation:

You got it right, trust yourself

4 0

3 years ago

What are the intercepts of this line?

olga_2 [115]

Answer:

x-intercept is -1; y-intercept is 0.5.

Step-by-step explanation:

The x-intercept is relatively easy to read off. It's the x-value where the graph crosses the x-axis, and here is (-1,0).

The y-intercept is best estimated as (0,+0.5).

The correct answer is the 3rd one on the list.

5 0

3 years ago

Read 2 more answers

2. An empty ice cream cone has a height of 3.02 inches and a radius

ololo11 [35]

Answer:

Approximate volume of ice cream = 3.03 inches

Step-by-step explanation:

Given - An empty ice cream cone has a height of 3.02 inches and a radius

of 0.98 inches.

To find - What is the approximate volume of ice cream it will hold within the cone ?

Proof -

We know that,

Volume of the cone = $\frac{1}{3}\pi r^{2}h$

where

r is the radius of the cone

h is the height of the cone

Here,

Given that,

r = 0.98 inches

h = 3.02 inches

So,

Volume = $\frac{1}{3}\pi r^{2}h$

= $\frac{1}{3}(3.14) (0.98)^{2}(3.02)$ ( Consider the value of $\pi$ = 3.14)

= 3.0373

∴ we get

Approximate volume of ice cream = 3.03 inches

So,

The correct option is - G. 3 in 3

8 0

3 years ago

Find an equation for the line that passes through the points (5.-5) and (-4,-2)

ANEK [815]

Answer:

$\large\boxed{y=-\dfrac{1}{3}x-\dfrac{10}{3}\to x+3y=-10}$

Step-by-step explanation:

The slope-intercept form of an equation of a line:

$y=mx+b$

m - slope

b - y-intercept

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

We have the points (5, -5) and (-4, -2).

Substiute:

$m=\dfrac{-2-(-5)}{-4-5}=\dfrac{-2+5}{-9}=\dfrac{3}{-9}=-\dfrac{1}{3}$

Put the value of the slope and the coordinates of the point (5, -5) to the equation of a line:

$-5=-\dfrac{1}{3}(5)+b$

$-5=-\dfrac{5}{3}+b$ add 5/3 to both sides

$-\dfrac{15}{3}+\dfrac{5}{3}=b\\\\-\dfrac{10}{3}=b\to b=-\dfrac{10}{3}$

Finally we have the equation of a line in the slope-intercept form:

$y=-\dfrac{1}{3}x-\dfrac{10}{3}$

Convert to the standard form (Ax + By = C):

$y=-\dfrac{1}{3}x-\dfrac{10}{3}$ multiply both sides by 3

$3y=-x-10$ add x to both sides

$x+3y=-10$

4 0

3 years ago

Which of the following best describes the solution to the system of equations below?

OverLord2011 [107]

Answer: OPTION A

Step-by-step explanation:

The equation of the line in slope-intercept form is:

$y=mx+b$

Where m is the slope and b the y-intercept.

Solve for y from each equation:

$\left \{ {{5y=-4x+7} \atop {10y=-8x+14}} \right.\\\\\left \{ {{y=\frac{-4}{5}x+\frac{7}{5}} \atop {y=\frac{-8}{10}x+\frac{14}{10}}} \right.\\\\\left \{ {{y=\frac{-4}{5}x+\frac{7}{5}} \atop {y=\frac{-4}{5}x+\frac{7}{5}}} \right.$

As you can see the slope and the y-intercept of each equation are equal, this means that both are the exact same line. Therefore, you can conclude that the system has infinitely many solutions.

3 0

3 years ago