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3 years ago

Factor ab + 2a + 3b + 6

Mathematics

2 answers:

EastWind [94]3 years ago

7 0

The answer is (b+2)(a+3)

You have to group each like term but have them be able to separate evenly so when you do the foil method it goes back to the original equation.

Butoxors [25]3 years ago

7 0

Answer:

(b+2) (a+3)

Step-by-step explanation:

ab + 2a +3b + 6

ab + 2a + 3b + 3×2

After taking common

a (b +2) + 3( b+2)

Thus factors are:

(b+2) (a+3)

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which unit would you use to measure the volume of a small cardboard box a cubic centimeters b grams c degrees d liters

MatroZZZ [7]

Degrees measures temperature,
liters measures liquids,
grams measures mass,
cubic centimeters measures volume.

8 0

3 years ago

Read 2 more answers

-4a <-32 what is the answer

Fiesta28 [93]

Answer:

a > 8

Step-by-step explanation:

Divide by the coefficient of the variable. Since it is negative, the direction of the comparison must be reversed.

(-4a)/(-4) > (-32)/(-4)

a > 8

6 0

3 years ago

Equation 2(4x − 11) = 10.

dedylja [7]

Since you didn't provide instructions, I am going to assune you are being asked to solve for x. To do this, just distribute and simplify.

2(4x-11)=10
Distribute the 2 to the expression (4x-11)
8x-22=10
Add 22 on both sides
8x=32
Divide by 8 on both sides
x=4

~I hope this helps!~

4 0

3 years ago

A pizza shop sells three sizes of pizza, and they track how often each size gets ordered along with how much they profit from ea

kari74 [83]

Answer:

μy = $6.56 ; σy = 2.77

Step-by-step explanation:

Given the data :

Mean μx= $8.56

Standard Deviation σx ≈ 2.77

Profit, Y on pizza with current promo :

Price off on pizza = $2

Y = x - 2

μx = E(x) = $8.56

μy = μ(x - 2)

μy = μx - $2

μy = $8.56 - $2

μy = $6.56

For the standard deviation of y

σx ≈ 2.77

σy = σ(x - 2)

σy = σx - 2

Constants are treated as 0 for standard deviation

σy = 2.77

8 0

3 years ago

Describe the graph of y=3/4x-12 as compared to the graph of y=1/x

Eddi Din [679]

Answer:

Parent function is compressed by a factor of 3/4 and shifted to right by 3 units.

Step-by-step explanation:

We are asked to describe the transformation of function $y=\frac{3}{4x-12}$ as compared to the graph of $y=\frac{1}{x}$ .

We can write our transformed function as:

$y=\frac{3}{4(x-3)}$

$y=\frac{3}{4}*\frac{1}{(x-3)}$

Now let us compare our transformed function with parent function.

Let us see rules of transformation.

$f(x-a)\rightarrow\text{Graph shifted to the right by a units}$ ,

$f(x+a)\rightarrow\text{Graph shifted to the left by a units}$ ,

Scaling of a function: $a*f(x)$

If a>1 , so function is stretched vertically.

If 0<a<1 , so function is compressed vertically.

As our parent function is multiplied by a scale factor of 3/4 and 3/4 is less than 1, so our parent function is compressed vertically by a factor of 3/4.

As 3 is being subtracted from x, so our parent function is shifted to right by 3 units or a horizontal shift to right by 3 units.

Therefore, our parent graph is compressed by a factor of 3/4 and shifted to right by 3 units to get our new graph.

5 0

3 years ago