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Anarel [89]
3 years ago
10

Multiply (6v+5)(412-2v+7) then simplify the expression

Mathematics
2 answers:
Lunna [17]3 years ago
5 0
Simplified answer,, -12v^2+2504v+2095
faust18 [17]3 years ago
4 0

Answer: =-12v^2+2504v+2095

Step-by-step explanation:

Given the expression:

(6v+5)(412-2v+7)

You need to apply Distributive property, but first remember the multiplication of signs:

(+)(+)=+\\(+)(-)=-\\(-)(-)=+

Then:

(6v+5)(412-2v+7)=2472v-12v^2+42v+2060-10v+35

Finally, you can simplify the expression by adding the like terms:

=-12v^2+2504v+2095

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mafiozo [28]
In interval notation it should be [6, ∞)
5 0
3 years ago
Can someone help me with number 4,5 and 6?
True [87]
4) You know slope-intercept form is y=mx+b. So using these two given points, you can find the slope! 

(-8,5)  (-3,10) [Use the y1-y2 over x1-x2 formula to solve for slope]

10 - 5         5
---------   = ----- = 1 
-3-(-8)         5

Hurray! You got a slope of one. Now substitute this back into your original equation:
y=mx+b --> y=1x+b 

Next, we find what our "b" is, or what our y-intercept is:
Using one of the previous points given, substitute them into the new equation:
[I used the point (-3, 10) ]

y=1x+b
10=1(-3)+b  SUBSTITUTE 
10=-3+b     MULTIPLY
10=-3+b
+3   +3    ADD
----------
13=b     SIMPLIFY 

So, now we have our y-intercept. Use this and plug it into the equation:
y=1x+b --> y=1x+13 

y=1x+13 is our final answer.



5) So for perpendicular lines, your slope will be the opposite reciprocal of the original slope. (Ex: Slope is 2, but perpendicular slope is -1/2) 

We have the equation y= 3x-1, so find the reciprocal slope! 
--> y=-1/3x-1 

Good! Now we take our given point, (9, -4) and plug it into the new equation:

y=-1/3x-1
-4=-1/3(9)+b   SUBSTITUTE and revert "-1" to "b", for we are trying to find the y-     -4=-3+b          intercept of our perpendicular equation. 
+3   +3            ADD
--------
-1=b    SIMPLIFY 

So, our final answer is y=-1/3x+(-1)

6) I don't know, sorry! :( 
4 0
3 years ago
Dean's Diner offers its clients a choice of regular and diet soda. Last night, the diner served 50 sodas in all, 90% of which we
Montano1993 [528]

Answer:

The diner served 45 regular sodas

Step-by-step explanation:

90% of 50 is 45 so the answer is 45

8 0
2 years ago
The manager of a coffee shop has one type of coffee that sells for $7 per pound and another type that sells for $11 per pound. T
kirza4 [7]
More of the $7 coffee would be used<span />
3 0
3 years ago
X+3/2 - X-2/2 = 1 Hence find p, if 1/X + p = 1​
jek_recluse [69]

Answer:

pie =1 so hence find p x+3+2 -X-22+1 =1

Step-by-step explanation:

3 0
2 years ago
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