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3 years ago

2x^2−10xy+3xy−15y^2 factor by grouping

2 answers:

8 0

2x²-10xy+3xy-15y²

Add like terms.

2x²+ (-10xy+3xy) -15y²

Simplify.

2x² + (-7xy) - 15y²

Rearrange the equation.

2x²-15y²-7xy

~Hope I helped~

SIZIF [17.4K]3 years ago

8 0

There are four terms in your algebraic expression. Notice that the left two terms have the factors 2 and x in common, whereas the right two terms have the factors 3 and y in common:

2x(x-5y) + 3y(x-5y). Can you now factor this further? Note that the two terms here have a common factor, (x-5y).

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Leah solved 40 arithmetic problems in 2 1/2 minutes. Which of the following best represents her unit rate?

nikklg [1K]

Answer:

Leah's unit rate is 16 problems per minute.

Step-by-step explanation:

To find her unit rate, we need to find how many problems she can do in 1 minute. Our current fraction is $\frac{40}{2.5}$ . We need to divide the top and bottom by 2.5 to get the rate per minute

$\frac{40}{2.5}$ = $\frac{16}{1}$

Leah's unit rate is 16 problems per minute.

4 0

4 years ago

The average annual out-of-pocket costs for an implant for Americans last year is estimated to be $2,488. Assume that this cost f

Alenkinab [10]

Answer:

58.73%

Step-by-step explanation:

What we must do is calculate the z value for each value and thus find what percentage each represents and the subtraction would be the percentage between those two values.

We have that z is equal to:

z = (x - m) / (sd)

x is the value to evaluate, m the mean, sd the standard deviation

So for 2400 we have:

z = (2400 - 2488) / (250)

z = -0.35

and this value represents 0.3632

for 89 we have:

z = (2900 - 2488) / (250)

z = 1.65

and this value represents 0.9505

we subtract:

0.9505 - 0.3632 = 0.5873

Therefore the probability would be 58.73%

6 0

4 years ago

In the diagram, points D and E are marked by drawing arcs of equal size centered at B such that the arcs intersect and . Then, i

ss7ja [257]

The measure of ∠ABP and ∠ABC are 32° and 64° respectively.

<h3>what is a bisector of an angle?</h3>

Any line which divides an angle into two equal halves is a bisector of that angle.

Analysis:

Since the arcs at D and E are drawn with the same radius and arc using center D and E are intersected by line PB( which is the bisector of the full arc with center B) then ∠ABP = ∠PBC = 32°.

∠ABC = ∠ABP + ∠PBC

∠ABC = 32 + 32 = 64°

In conclusion, ∠ABP and ∠ABC are 32° and 64°

Learn more about bisectors of angles: brainly.com/question/24334771

#SPJ1

3 0

2 years ago

Help solve with steps<br> -6(4-x)<-4(x+1)<br> --

ASHA 777 [7]

Answer:

$\[x$

Step-by-step explanation:

Given inequality is $\[-6(4-x)$

Simplifying the inequality by rearranging the terms:

$\[-24+6x$

=> $\[10x$

=> $\[x$

So the given inequality can be simply expressed as $\[x$

Hence x can take all values in the domain which are less than 2.

6 0

3 years ago

which statement best explains why the sum of the areas of the two white squares in figure 2 is the same as the area of why squar

Stella [2.4K]

Answer:

"In each figure the total area is equal and the area of the 4 triangles is equal, so the remaining white area in each figure must also be equal."

Step-by-step explanation:

Both figures make up congruent squares, and they are made up of 4 congruent triangles, so the white area in between must be equal between the two figures

3 0

3 years ago