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just olya [345]
2 years ago
13

Write as a single fraction in its simplest form.

Mathematics
1 answer:
yaroslaw [1]2 years ago
5 0

\dfrac{4}{3x-5} + \dfrac{x+2}{x-1}\\\\\\=\dfrac{4(x-1) + (x+2)(3x-5)}{(3x-5)(x-1)}\\\\\\=\dfrac{4x-4 + 3x^2 -5x +6x -10}{(3x-5)(x-1)}\\\\\\=\dfrac{3x^2 +5x-14}{(3x-5)(x-1)}

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Saj has made 7 litres of curry sauce.
Makovka662 [10]

Answer:

18 jars can be filled completely.

Step-by-step explanation:

7L=7000ml

1 jar contain 375 ml

375ml can be filled in 1 jar

375ml=1 jar

1 ml = 1/375 jar

7000 ml = 7000× 1/375 jar

7000ml= 18.67 jar

hence 18 jars can be filled completely.

3 0
3 years ago
2. Which sequence could be generated by an exponential function? a) 4,7,12,19,... b) 5,9,13, 17,... c) 7, 14, 28,56,... d) 36, 2
irina [24]

Answer:

C

Step-by-step explanation:

It doubles after every number in the sequence

6 0
2 years ago
7. A battery manufacturer makes batteries that have a failure rate of .015. That is, 15 out of each 1,000 batteries are defectiv
azamat
The answer to this probability question is .86 or 86%. The probability that a batch of 10,000 batteries will contain at least 175 defective batteries is  86 percent. I calculated the failure rate of 10,000 batteries (10k*.015) and yielded 150, meaning there will be 150 batteries that will be defective in a set of 10,000. Then i divided 150 by 175 to get the probability.
3 0
3 years ago
Find all real zeros of number 11
tensa zangetsu [6.8K]
The answer is, x = 4,  \frac{3}{2}, -7

I'm about to basically type up a report on explaining this answer so bear with me :P

<em>Step 1.)</em> Factor 2x^{3}+  3x^{2}  +65x+84 using Polynomial Division.

Just a basic rundown of what polynomial division is. When using polynomial division for this problem we find all the factors of our constant, 84, and then see which one, when substituted for x, makes the expression equal zero. After we find our variable that makes the problem equal zero, we divide it into our original expression. Here's how it's done:

These are our factors of 84: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

strating from one and plugging in these numbers, the first one we come upon that works is 4. So, now we will divide. below is a picture of what it should look like.

After we divide, we get an answer of ( 2x^{2} +11x-21)(x-4)

<em>Step 2.)</em> split ( 2x^{2} +11x-21)(x-4) into two terms

To do that we multiply the coefficient of the first term (2) by the constant (-21)
So: 2*-21=-42

Now we ask "which two numbers add up to equal 11, but multiply to equal -42". Those two numbers are 14 and -3.

Now we basically split 11x as the sum of 14 and -3. So now our problem should look like this: (2x^{2}+14x-3x-21) (x-4)
<span><span>
</span></span><em>Step 3.)</em> Factor out the common terms in the first two terms, then the last two like this:

From this: (2x^{2}+14x-3x-21) (x-4)

To this: (2x(x+7)-3(x+7))(x-4)

<em>Step 4.)</em> Factor the term (x + 7) out of the parenthesis

After we do that, we are left with our problem looking like this:

(x+7)(2x-3)(x-4)

The last thing we do is set each parenthesis equal to zero and work it out to find our zeros.

(x+7) = 0
x = -7

(2x-3) =0
x =  \frac{3}{2}

(x-4)=0
x=4

That gives us our answer of our zeros being x = 4, \frac{3}{2}, -7

Thank you for our question! I hope this helped! Have an amazing day! :D

4 0
3 years ago
From greatest to least?? 1.11,0.111,1.01,1.001
vodomira [7]
0.111, 1.001, 1.001, 1.11

hope this helps
7 0
3 years ago
Read 2 more answers
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