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BigorU [14]
3 years ago
10

B. Solve;

Mathematics
1 answer:
Contact [7]3 years ago
3 0
1 .
Let’s say your number is x.
3x+5>33
3x>28
x>28/3
2.
Let’s say the two consecutive integers are x and x-1
Since the two numbers are integers and two consecutive numbers (odd+even) can never add up to an even number (80 for example).
The highest possible sum of two consecutive integers that is less than 81 will add up to 79.

x+x-1=79
2x-1=79
2x=80
x=40
So the two consecutive numbers are 40 (x) and 39(x-1)
Hope this helps


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Write an equation of the line with the same slope as the line given by 5x + 2y = 8 and the same y-intercept as the line given by
kaheart [24]
In y = mx + b form, the slope is in the m position and the y intercept is in the b position.

5x + 2y = 8
2y = -5x + 8
y = -5/2x + 8.....slope (m)  is -5/2

3x - 7y = 10
-7y = -3x + 10
y = 3/7x - 10/7.....y int (b) = -10/7

so ur equation with slope(m) of - 5/2 and y int (b) of -10/7 is :
y = -5/2x - 10/7 <== slope intercept form



8 0
3 years ago
a sequence of numbers begins at 400. If the pattern increases by consecutive multiples of 5 starting with 5, then find the next
bazaltina [42]

Given :

A sequence of numbers begins at 400.

To Find :

If the pattern increases by consecutive multiples of 5 starting with 5, then find the next 3 numbers in the sequence 400, ___, ___, ___ .

Solution :

This is the a question of arithmetic progression .

The first term is , a = 400 .

Now , it is given that the next numbers increase by the multiples of 5 starting with 5 .

So , common difference is , d = 5 .

Now , we know , n^{th} number in A.P is given by :

a_n=a+(n-1)d

Putting value of n = 2 , 3 , 4 .

We get :

a_2=a+(2-1)d=400+5=405\\\\a_3=a+(3-1)d = 400 + (5\times 2) = 410\\\\a_4=a+(4-1)d = 400 +(5\times 3)=415

Therefore , the next 3 numbers in the sequence is 400 , 405 , 410 , 415 .

Hence , this is the required solution .

8 0
3 years ago
For each line there is one and only one line segment <br> True or false
algol [13]
True hope i helped out

4 0
3 years ago
Read 2 more answers
Determine if the given sequence is an arithmetic sequence. If it is, identify the common difference.
lianna [129]

Answer:

Is this an arithmetic sequence?

Yes.

Is there a common difference and if so, what is it?

Yes, there is a common difference : 1

The common difference is 1

6 0
1 year ago
Given the functions m(x) = 4x − 11 and n(x) = x − 10, solve m[n(x)] and select the correct answer below. (2 points)
Citrus2011 [14]
For this case what we must do is a composition of functions which will be given by:
 m (x) = 4x - 11
 n (x) = x - 10
 We have then:
 m [n (x)] = 4 (x - 10) - 11
 Rewriting the function:
 m [n (x)] = 4x - 40 - 11
 m [n (x)] = 4x - 51
 Answer:
 a. m [n (x)] = 4x - 51
4 0
3 years ago
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