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3 years ago

Factor the greatest common factor: 9a4b3 + 24a3b2 − 15a2b.

Mathematics

1 answer:

skelet666 [1.2K]3 years ago

4 0

I couldn't format this properly from my phone, so I used a solver, sorry :( hope this helps tho...

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(-12,16) and (-4,-2)find the slope

cestrela7 [59]

Answer:

It's -9/4 or -2 1/4. please mark me brainliest <3

Step-by-step explanation:

1) label x1, y1, x2, and y2.

x1 y1 x2 y2

(-12, 16) (-4,-2)

2) Remember the formula is y2-y1

--------

x2-x1

3) substitute

-2-16

--------

-4-(-12)

4) two minuses (negatives) is a positive (+)

so,

-2-16 -18

---------= --------

-4+12 8

5) simplify

-18 divided by 2 -9

----- = ------- or -2 1/4

8 divided by 2 4

5 0

3 years ago

Read 2 more answers

Joan is selling handmade bead necklaces at a local art fair. She paid $250 to reserve her booth. The cost of supplies for each n

Inga [223]

Y=250+2x is the amount she spends
y=12x is the amount she makes

If the amount she spent = the amount she makes then she break even

250+2x=12x
250=12x-2x
250=10x
So x = 250/10=25 necklaces she needs to sell to break even

Answer is 25 necklaces

3 0

3 years ago

Read 2 more answers

Using a graph, table of values, and/or equations solve the following problem.

katovenus [111]

Answer:

$L= 117.0$

Step-by-step explanation:

Represent the sofa with S and the love seat with L.

So, we have:

$S + L = 351$ --- Total Cost

$S = 2L$

Required

Determine the value of L

Substitute 2L for S in the first equation.

$2L + L = 351$

$3L= 351$

Divide both sides by 3

$\frac{3L}{3}= \frac{351}{3}$

$L= \frac{351}{3}$

$L= 117.0$

Hence, a love seat costs 117.0

Using Graph

See attachment for graph

S is plotted on the y-axis and L is on the x-axis.

The green line represents $S + L = 351$ while the orange line represents $S = 2L$

When the line of the graph is traced to the x-axis, we have:

$L= 117.0$

4 0

3 years ago

35 POINTS!!! The measures of the angles in a quadrilateral are represented by x, 2x, 3x, and 3x. Write an equation that would al

Marina86 [1]

Answer:

The value of x is 40.

Step-by-step explanation:

The measures of the angles in a quadrilateral are represented by x, 2x, 3x, and 3x.

According to the angle sum property of quadrilateral, the sum of interior angles of a quadrilateral is always 360 degree.

Since the measures of the angles in a quadrilateral are represented by x, 2x, 3x, and 3x, therefore

$x+2x+3x+3x=360$

This is the equation which is used to solve for the value of x.

$9x=360$

$x=\frac{360}{9}$

$x=40$

Therefore the value of x is 40.

6 0

4 years ago

Suppose that it snows in Greenland an average of once every 27 days, and when it does, glaciers have a 26% chance of growing. Wh

Colt1911 [192]

Answer:

0.1998

Step-by-step explanation:

This is a conditional probability question.

We solve this question using Bayes's Theorem of conditional probability.

P(A|B) = [P(B|A) × P(A)] ÷ [(P(B|A) × P(A))+ (P(B|A') × P(A'))]

Based on the information in the question, we have the following values.

Suppose it snows in Greenland once every 27 days.

Probability (it snows) = P(A) = 1/27

= 0.037037037

Approximately = 0.0370

Probability ( it doesn't snow) = P(A') = 1 - 0.0370 = 0.963

Probability ( that when it snow, glaciers grow) = P(B|A) = 26% = 0.26

Probability( that is doesn't snow , glaciers grow) = P(B|A)' = 4% = 0.04

Using the Bayes's Theorem of conditional probability

Probability that it is snowing in Greenland when glaciers are growing is =

P(A|B) = [P(B|A) × P(A)] ÷ [(P(B|A) × P(A))+ (P(B|A') × P(A'))]

= [0.26 × 0.0370] ÷ [(0.26 × 0.0370) + (0.04 × 0.963)]

= 0.00962 ÷( 0.00962 + 0.03852)

=0.00962 ÷ 0.04814

= 0.199833818

Approximately to 4 decimal places ≈ 0.1998

Therefore, probability that it is snowing in Greenland when glaciers are growing is 0.1998

3 0

4 years ago