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Marianna [84]
3 years ago
10

Factor completely. 6x^2+3x-63

Mathematics
1 answer:
emmasim [6.3K]3 years ago
4 0
An alternate method would be to take out 3 first


(since it is common to each term) 3(2x + x - 21)



now break down the middle terms 3(2x - 6x + 7x - 21) now you can proceed to factoring your equation.
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What graph represents f(x) = 0.5(4)x
vampirchik [111]

Answer:

See attached picture

Step-by-step explanation:

The equation f(x) = 0.5(4)x is most likely f(x) = 0.5(4)^x. This is an exponential. To graph the function, test the points -1, 0, and 1. Then connect.

f(x) = 0.5(4)^{-1}=0.5(\frac{1}{4}) = \frac{1}{8}

f(x) = 0.5(4)^{0}=0.5(1) = 0.5

f(x) = 0.5(4)^{1}=0.5(4) = 2

5 0
3 years ago
Can you guys<br>please answer this question?
larisa86 [58]
Its too blury I cant see it. Can you repost it closer by any chance. Then Ill answer.
4 0
4 years ago
Celeste is making fruit baskets for a local hospital. The directions say to use 5 apples for every 6 oranges. Celeste is filling
MariettaO [177]

Answer:

A. Equivalent ratios of 5:6

We multiply both the numerator and the denominator by the same number, this way:

<u>10:12 , 15:18, 20:24, 25:30</u>

B. Equivalent ratios of 2:3

We multiply both the numerator and the denominator by the same number, this way:

<u>4:6 , 6:9, 8:12, 10:15, 12:18</u>

C. We have the same number of oranges at:

<u>10:12 and 8:12</u>

<u>15:18 and 12:18</u>

<u>Like Celeste decided not to follow the directions, she's actually using less apples than expected to fill the baskets.</u>

Step-by-step explanation:

1. Let's check all the information provided to answer the question correctly:

Ratio that the local hospital say to Celeste to use : 5 apples for every 6 oranges

Ratio that Celeste is actually using: 2 apples for every 3 oranges

2.  Complete the tables to find equivalent ratios.

A. Equivalent ratios of 5:6

We multiply both the numerator and the denominator by the same number, this way:

10:12 , 15:18, 20:24, 25:30

B. Equivalent ratios of 2:3

We multiply both the numerator and the denominator by the same number, this way:

4:6 , 6:9, 8:12, 10:15, 12:18

3. Circle two columns, one in each table, in which the number of oranges is the same.

We have the same number of oranges at:

10:12 and 8:12

15:18 and 12:18

Like Celeste decided not to follow the directions, she's actually using less apples than expected to fill the baskets.

8 0
3 years ago
The top deck of a boat is 9 feet above the surface of a lake, while the bottom of the boat is 24 feet below the surface of the l
Tpy6a [65]

Answer:

33

Step-by-step explanation:

add the two numbers to gether to get 33ft

5 0
3 years ago
Read 2 more answers
Drag and drop the constant of proportionality into the box to match the table. If the table is not proportional, drag and drop "
Travka [436]

Answer:  3/2

Step-by-step explanation:

Since, two variables are called proportional if there is always a constant ratio between them.

And, The constant is called the coefficient of proportionality or proportionality constant.

Let x and y are  proportional to each other.

Therefore, x ∝ y ⇒ y=kx

Where k is any constant.

For, x=2 and y=3 k= 3/2

For, x=4 and y=6, k=3/2

For x=6 and y=9, k= 3/2

Since, here the value of k is constant.

Therefore, k is the coefficient of proportionality.

And, given table is propositional.


3 0
4 years ago
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