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denis23 [38]
3 years ago
7

Factor completely 10b 2 +17b + 3

Mathematics
1 answer:
mr Goodwill [35]3 years ago
4 0
Hope this helps you.

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The product of two consecutive odd intergers is 1 less than four times thier sum. Find the two integers.
seraphim [82]
Consecutive odd integers are 2 apart
they are x and x+2
the product (x times (x+2)) is 1 less than  4 times their sum

x(x+2)=-1+4(x+x+2)
x^2+2x=-1+4(2x+2)
x^2+2x=-1+8x+8
x^2+2x=8x+7 minus (8x+7) from both sides [tex]x^2-6x-7=0
factor
what  numbers multliply to get -7 and add to get -6?
-7 and 1
(x-7)(x+1)=0
set equal to 0
x-7=0
x=7

x+1=0
x=-1

so the x can be 7 or -1
the other number (x+2) can be 7 or 1

test each

7 and 9
7(9)=-1+4(7+9)
63=-1+4(16)
63=-1+64
63=63
true


-1 and 1
-1(1)=-1+4(-1+1)
-1=-1+4(0)
-1=-1+0
-1=-1
true



the 2 integers can be 7 and 9 or -1 and 1 (both pairs of numbers work)
3 0
2 years ago
What is the measurement of angle 1 plz help me !
Evgen [1.6K]

Answer:

ANGLE 1 = 40°

Step-by-step explanation:

angle 1 = angle 2 ------(alternate interior angles)

2x + 20 = 3x + 10

20 - 10 = 3x - 2x

x = 10.

Angle 1 = 2x + 20 = 2(10) + 20 = 20 + 20 = 40°.

HOPE IT HELPS!!!

6 0
2 years ago
What is the value of y in the equation 2(4y − 1) = 6
cupoosta [38]
The answer is 3 :)).
5 0
3 years ago
Which value of m makes the statement true?<br> 83 – 2m ≤ 8 + 3m
Ganezh [65]
<span>83 – 2m = 8 + 3m
-2m -3m =</span><span> 8 - 83
-5m =</span> -<span>75
 m = 15

so value of m = 15 makes the statement is true</span>
7 0
3 years ago
Find the approximate surface-area-to-volume ratio of the Moon. The radius of the Moon is 1,080 miles.
Artemon [7]
1:360
Volume of a sphere formula: V=4/3*pi*r^3
Surface Area of a Sphere formula: SA=4*pi*r^2
SA=14,657,414 
V=5,276,669,286
ratio= SA;1 : V;360
7 0
3 years ago
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