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Nady [450]
3 years ago
5

The polynomial 6x²+x–15 has a factor of 2x–3. What is the other factor?

Mathematics
1 answer:
spayn [35]3 years ago
3 0

Step-by-step explanation:

Method 1

Do the factor like

6x

6 \times  ^{2}  +  \times  - 15 \\  = 6 \times  ^{2}  - 9 \times  + 10 \times  - 15 \\  = 3 \times (2 \times  - 3) + 5(2 \times  - 3) \\  = (2 \times  - 3)(3 \times  + 5)

So the other factor is 3x+5

Method 2 We can divise 6x^2+x-15 by 2x-3 and we find the quotient 3x+5

Hope you understand

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What expression is equivalent to 12 - 1/2(x + 12)
lyudmila [28]
Distribute the -1/2 to both x and 12

-1/2(x) = -1/2x
-1/2(12) = -6

12 -  (-1/2x) - 6

Simplify: Note, two negatives = one positive

12 + 1/2x - 6

Simplify: combine common numbers together

12 - 6 + 1/2x

6 + 1/2x


1/2x + 6 is your equivalent expression


hope this helps
7 0
3 years ago
A box has 16 candies.12 red and 4 yellow.If you were picking candies from the box without looking.How many candies would you hav
hodyreva [135]

Answer:

13.

Step-by-step explanation:

im not sure the smallest number but if you have 13, there is an 100% chance you got 2 of the same color

8 0
3 years ago
What is the smallest solution to the equation 3x<img src="https://tex.z-dn.net/?f=%20x%5E%7B2%7D%20" id="TexFormula1" title=" x^
topjm [15]
IF you mean 3 x^{2} -16=131, then the following would be a solution:

First add 16 to both sides of the equation:
3 x^{2} = 147

Now divide both sides of the equation by 3:
x^{2} =49

Take the square root of both sides to solve for "X", or simply solve by inspection: "what number(s) can be squared to get 49?"

Answer: -7 and 7 So the smallest solution would be "-7"
6 0
3 years ago
Which situation can be modeled by the inequality 65-8x&gt;9
emmasim [6.3K]

Answer:

x<7

Step-by-step explanation:

65-8x>9

-8x>9-65

-8x>-56

x<7

5 0
3 years ago
Read 2 more answers
Could someone answer and explain these please? Thank you!
Oksana_A [137]

Answer 1:

It is given that the positive 2 digit number is 'x' with tens digit 't' and units digit 'u'.

So the two digit number x is expressed as,

x=(10 \times t)+(1 \times u)

x=10t+u

The two digit number 'y' is obtained by reversing the digits of x.

So, y=(10 \times u)+(1 \times t)

y=10u+t

Now, the value of x-y is expressed as:

x-y=(10t+u)-(10u+t)

x-y=10t+u-10u-t

x-y=9t-9u

x-y=9(t-u)

So, 9(t-u) is equivalent to (x-y).

Answer 2:

It is given that the sum of infinite geometric series with first term 'a' and common ratio r<1 = \frac{a}{1-r}

Since, the sum of the given infinite geometric series = 200

Therefore,\frac{a}{1-r}=200

Since, r=0.15 (given)

\frac{a}{1-0.15}=200

\frac{a}{0.85}=200

a=0.85 \times 200

a=170

The nth term of geometric series is given by ar^{n-1}.

So, second term of the series = ar^{2-1} = ar

Second term = 170 \times 0.15

= 25.5

So, the second term of the geometric series is 25.5






Step-by-step explanation:


8 0
3 years ago
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