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GuDViN [60]
2 years ago
9

I need to know if these answers are correct or not...

Mathematics
1 answer:
AlladinOne [14]2 years ago
4 0

1. Let the four consecutive numbers be x, x+1, x+2, x+3

The sum of four consecutive number is already given to us = 70

Therefore

⇒(x)+(x+1)+(x+2)+(x+3)=70  

We need to combine x as we have four x terms in the equation. The next step is to get all of the x’s on one side of the equation and all the numbers on the other side. The same rule applies – whatever you do to one side of the equation, you must do to the other side as well!

⇒4x+6=70⇒4x=64⇒x=16

So, the four numbers are 16, 17, 18 and 19.

Hence, the greatest number among them is 19.

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Is (x +1) a factor of <br> f(x) = x3 + 2x2 −5x − 6 ?<br><br> Yes <br> No
sertanlavr [38]

Answer:

Yes.

Step-by-step explanation:

You can find it out by factoring but ill do it easier way.

(x + 1 ) = 0 put the first and second equation to 0

x = -1

x³ + 2x² - 5x - 6 = 0  Now plug in the x in the equation

(-1)³ + 2(-1)² - 5(-1) - 6 = 0

0 = 0

so (x + 1) is a factor.

5 0
3 years ago
Read 2 more answers
If 5 bags of oranges weigh 35 pounds, how many pounds do 2 bags of oranges weigh?
guapka [62]

Answer:

C 14 pounds

Step-by-step explanation:

5 bags=35 pounds

1 bag=7 pounds

2 bags = 14 pounds

6 0
2 years ago
Read 2 more answers
Which statements about squares and equilateral triangles are true?
12345 [234]
Answer,a and b, sorry if they are wrong
5 0
2 years ago
Use a graphing calculator to find the solution to the situation. Lucy needs to hire a host. Host A is offering his services for
olga55 [171]
At approximately 4.5 hours.
15.75x + 70 = 13.25x + 81
15.75x - 13.25x = 81 - 70
2.5x = 11
x = 4.4 
found to the nearest tenth 4.5
6 0
3 years ago
What is the numerical coefficient of the a^8*b^2 term in the expansion of ((1/3)a^2 - 3b)^6 ?
zhuklara [117]

In the binomial development, the main problem is calculation of binomial coefficients.

If we want to get term a∧8*b∧2 we see that this is the third member in binomial development (n 2) a∧n-2*b∧2

The given binomial  is ((1/3)a∧2 - 3b)∧6, the first element is (1/3)a∧2, the second element is (-3b) and n=6 when we replace this in the formula we get

(6 2) * ((1/3)a∧2)∧(6-2) * (-3b)2 = (6*5)/2 * ((1/3)a∧2)∧4 *9b∧2= 15*(1/81)*9 *(a∧8b∧2) =

= 15*9* a∧8b∧2 = 135*a∧8b∧2

We finally get numerical coefficient 135

Good luck!!!


7 0
3 years ago
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