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nirvana33 [79]
3 years ago
12

Factor each expression 1. 3n + 9 2. t² + 4t 3. 15 + 20x

Mathematics
1 answer:
Gnom [1K]3 years ago
4 0
1... 3 (n + 3)
2... t (t + 4)
3... 5 (3 + 4x)

The trick to all of these is finding common factors, then taking them out... IT's pretty easy once you get the hang of it.
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12433333666 *5ii888888888888888888888<br> 6
Neko [114]

Answer:

7.321852048×10³⁰

Step-by-step explanation:

5 0
3 years ago
A quadratic function is given. f(x) = 1 + x − 7 x2 (a) Use a graphing device to find the maximum or minimum value of the quadrat
Virty [35]

Answer:

a) P (x,y) \approx (0.1,1.05), b) P(x,y) = (0.07,1.04).

Step-by-step explanation:

a) The graphic is enclosed to the problem. By visual inspection, an absolute maximum is found.

P (x,y) \approx (0.1,1.05)

b) The exact method consists in the application of the First and Second Derivative Tests. First and second derivatives are, respectively:

f'(x) = 1 - 14\cdot x

f''(x) = -14

The First Derivative Test consists in equalizing the first derivative to zero and solving the expression:

1 - 14\cdot x = 0

x = 0.07

According to the second derivative, the critical point leads to a maximum. The remaining component is determined by evaluation the polynomial:

y = 1 +0.07-7\cdot (0.07)^{2}

y = 1.04

The exact solution is P(x,y) = (0.07,1.04), indicating that graphic solution leads to a good approximation.

6 0
3 years ago
Divide.
liubo4ka [24]

Answer:

14.0328

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Find the sum of integers from 33 to 47:
ICE Princess25 [194]

Answer:

Step-by-step explanation:There are formulas to work this out, but you can also suss out an answer by a liberal application of critical thinking.

Okay, you want to add 51 + 52 + 53 + … + 99 + 100, right? (The … represents all the numbers in between, in case you were wondering.)

Well, that’s a total of 50 numbers. And if you know anything about addition, you know that it doesn’t matter what order you add them.

So you could also say 51 + 100 + 52 + 99 + 53 + 98 + … and so on.

Let’s see what happens. 51 + 100 = 151. So far so good.

Then, 52 + 99 also equals 151. And 53 + 98 also equals 151. Since there are 50 numbers, that’s 25 pairs that are going to add up to 151.

151 + 151 + 151 + 151 + … (21 more instances of 151).

So we can simplify our workload a bit. Instead of adding up all the numbers by hand, we can just multiply 151 by 25.

151 x 25 = 3775

From that, we can work out a generic formula that will allow you to add any sequence of numbers…without actually adding.

Let a be the first number in the sequence, and let n be the last number in the sequence. The number of numbers is (n - a) + 1. (You have to add 1, because if you just subtract, it’s like you’re losing the lowest number in the sequence).

So…you get the sum by adding the first and last number in the sequence, and then multiplying that result by half of the total number of numbers.

(a+n)((n−a)+12)  

an−a2+a+n2−an+n2  

−a2+a+n2+n2  

−a(a−1)+n(n+1)2  

Let’s check to see if it works!

−51(51–1)+100(100+1)2  

−51(50)+100(101)2  

−2550+10,1002  

75502  

3775  

Note that if the starting number were 1, the formula would simplify to  n(n+1)2

8 0
3 years ago
Read 2 more answers
*PLEASE HURRY* WILL GIVE BRAINLIEST* Write the equation in the form ax^2 + bx+c=0 where a &gt; 0, if necessary. Then identify th
yKpoI14uk [10]

Answer:

a= 3

b=-4

c=-8

Step-by-step explanation:

3x²=4x+8

since the 4X is positive it will cross the equal sign and become negative and the same goes for 8,and this will leave nothing on the right of the equal sign therefore it will become 0

3x²-4x- 8= 0

the above equation is now in the form required

ax²+bx+c=0

so substitute the values according and u will see that a= 3

b=-4 and c=-8

hope this helps

5 0
3 years ago
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