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rewona [7]
3 years ago
12

I need this explained

Mathematics
1 answer:
klasskru [66]3 years ago
4 0

\text{Hey there!}

\text7x}^2\text{- 32x - 60}

\text{The answer is: (7x + 10)(x - 6)}

\text{Because if you follow the step to the answer (first you have to distribute} \text{then combine the like terms after distributing) after all of that you SHOULD} \text{get the equation back!}

\text{Distribute}\downarrow\\\\\text{7x(x)=7x}^2\\ \text{7(-6x)= -42}\\\text{10(x)= 10x}\\\text{10(-6)= -60}

\text{Combine your like terms (terms that has the almost the same thing)}\downarrow

\text{-42x + 10x = -32x}

\text{The other terms stays the same because they DON'T have like terms}

\text{Original problem: 7x}^2\text{- 32x -60}

\boxed{\boxed{\bf{Answer: (7x+10(x -6))}}}\checkmark

\text{Good luck on your assignment and enjoy your day!}

~\frak{LoveYourselfFirst:)}

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MrRissso [65]

Answer:

f(n)=-5-3n

Step-by-step explanation:

Given the recursive formula of a sequence

f(1)=−8

f(n)=f(n−1)−3

We are to determine an explicit formula for the sequence.

f(2)=f(2-1)-3

=f(1)-3

=-8-3

f(2)=-11

f(3)=f(3-1)-3

=f(2)-3

=-11-3

f(3)=-14

We write the first few terms of the sequence.

-8, -11, -14, ...

This is an arithmetic sequence where the:

First term, a= -8

Common difference, d=-11-(-8)=-11+8

d=-3

The nth term of an arithmetic sequence is determined using the formula:

T(n)=a+(n-1)d

Substituting the derived values, we have:

T(n)=-8-3(n-1)

=-8-3n+3

T(n)=-5-3n

Therefore, the explicit formula for f(n) can be written as:

f(n)=-5-3n

7 0
3 years ago
Two lines have a slope of 3 and different y-intercepts how many solutions will this system have
Taya2010 [7]

Answer:

0 solutions / no solutions

Step-by-step explanation:

If two lines have the same slope but different y-intercepts, it means that they are parallel.

For example, we have two lines:  

y = x

y = x + 1

Both lines have the same slope of 1, but different y - intercepts. Because each equation increases the x and y at the same right (slope) but started at different points, the two equations will never touch.

It's similar to two runner who run at the same pace. If one runner started 50 meters ahead, that runner will always be ahead 50 meters (y-intercept) because they both run at the same rate.

6 0
3 years ago
The triangles shown are similar.
valkas [14]
15, because 3 goes into 9, 3 times and, 4 goes into 12, 3 times therefore x has to follow this rule because these 2 triangles are similar and because it already gives you 5 just take 5*3=15 there is your answer enjoy!=)
6 0
3 years ago
Read 2 more answers
to convert measurements in the metric system you can move the decimal point left or right why does this work?​
Lyrx [107]
The metric system is based on power os 10’s- brainest pls xx
4 0
3 years ago
Read 2 more answers
Z is less than 2 and equal to or less than 8 intersection​
insens350 [35]

Less than 2 = z < 2

Less than or equal to 8 = z ≤ 8

z ≤ 8

z < 2

8 0
3 years ago
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