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Brums [2.3K]
3 years ago
14

Solve 7x + 6 > 1 + 2x

Mathematics
2 answers:
kati45 [8]3 years ago
8 0

Here we have an inequality in terms of x, with x on both sides. However, we can treat it as a straightforward equation in as much as we can use our standard operations as long as we do the same to both sides. Here, as we want to get all the terms with x on the same side, and everything else on the other (as we are solving an inequality in terms of x after all), we can subtract 2x from both sides, and subtract 6 from sides. This leaves us the new inequality (which means the same) of 5x>-5. We can simplify this further by dividing each side by 5, leaving x>-1, which is our final answer. We can show this on a graph also, if asked, like so...

professor190 [17]3 years ago
5 0

7x+6>1+2x

subtract 2x from each side:

5x+6>1

subtract 6 from each side:

5x>-5

divide each side by 5:

x>-5/5

x>-1


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3 0
3 years ago
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A car dealership increased the price of a certain car by
rodikova [14]
Hi,
the dealership increased the price by %4., this means the we have to  multiply the % times the price.
A. %4 in decimal will be 0.04
B. new price = $ 46 500 * 0.004 = $1860

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7 0
3 years ago
5x/p = w<br> solve for x
trasher [3.6K]

Answer:

x=wp/5

Step-by-step explanation:

7 0
2 years ago
F(x)= 5x^2+6, g(x)= 7x find (f o g)(x), find (g o f)(x), find f(g(-4)), fine g(f(5))
KiRa [710]

(f o g)(x) = 245x^2+6\\(g o f)(x) = 5x^2+42\\ f(g(-4)) = 3926\\g(f(5)) = 917

Step-by-step explanation:

Given

f(x) = 5x^2+6\\g(x) = 7x

So

(f o g)(x) = 5(7x)^2+6\\= 5(49x^2)+6\\=245x^2+6\\(g o f)(x) = 7(5x^2+6)\\= 35x^2+42\\(fog(x))=245x^2+6f(g(-4)) = 245(-4)^2+6 \\=245(16)+6\\=3920+6\\=3926\\g(f(x)) = 35x^2+42\\g(f(5)) = 35(5)^2+42\\=35(25)+42\\=875+42\\=917

Hence,

(f o g)(x) = 245x^2+6\\(g o f)(x) = 5x^2+42\\ f(g(-4)) = 3926\\g(f(5)) = 917

Keywords: functions, Function composition

Learn more about functions at:

  • brainly.com/question/4279146
  • brainly.com/question/4354581

#LearnwithBrainly

7 0
3 years ago
Drag each symbol and number to the correct location on the inequality. Not all symbols and numbers will be used. Sam initially i
galben [10]

Answer:

t \leq 18.67\ years

Step-by-step explanation:

we know that

The simple interest formula is equal to

A=P(1+rt)

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest  

t is Number of Time Periods

in this problem we have

t=?\ years\\ P=\$4,500\\ A=\$7,020\\r=0.03

The inequality that represented this situation is

P(1+rt) \leq A

substitute the values and solve for t

4,500(1+0.03t) \leq 7,020

(0.03t) \leq (7,020/4,500)-1

t \leq [(7,020/4,500)-1]/0.03

t \leq 18.67\ years

7 0
3 years ago
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