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joja [24]
3 years ago
8

Luke can build 2 tables in a day, and he has to build more than 18 wooden tables for a client. If he works for x days, what is t

he simplest inequality that represents this situation?
Mathematics
1 answer:
VARVARA [1.3K]3 years ago
6 0
2x > 18

2x/2 > 18/2

X > 9
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How many times 19 go into 36
Aneli [31]
36/19
=1.894736842 and it keeps going

Hope this helped and have a great day!
5 0
3 years ago
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Can anyone please help me with this? i need a step by step explanation please! very appreciated:)
EastWind [94]

Answer:

Step-by-step explanation:

x and y are variables. That means they represent numbers that are unknown. When we solve for x or y, we are trying to find what number the variable represents.

Y is a number that equals both 5x-9 and 3x+7. If it is a number, it can only have one value, so we can say that 5x-9 and 3x+7 have the same value.

In other words, 5x-9 = 3x+7.

Another way of thinking about this step is substitution. y=3x+7, so in the equation y=5x-9, we can replace the y with 3x+7. It will give 3x+7 = 5x-9.

In either case, we have this new equation

5x-9 = 3x+7.

From here it's just simple algebra- subtract 3x from each side

2x -9 = 7

and add 9 to each side

2x = 16

and divide each side by 2.

x = 8.

All these steps work because if two things equal each other, when you do the same thing to both of them (such as add 9), the new values will still equal each other.

Now that we know that x = 8, we can take one of the original equations

y=5x-9

and put 8 in for x.

y=5*(8) -9.

If x represents the value 8, we can obviously switch out x for 8.

Now simplify

y=40 -9

y = 31

Now we know that x = 8 and y = 31.

5 0
3 years ago
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Need the missing length
Gala2k [10]

Answer:

10

Step-by-step explanation:

The side to the right is 15. The side to the left is 5. You can subtract these two to find the length.

3 0
3 years ago
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What is the slope of this line?<br><br> A. -1/2<br> B. 1/2<br> C. -2<br> D. 2
SVEN [57.7K]

We can find the slope of this line by using the slope formula:

\frac{y.2 - y.1}{x.2 - x.1} = m

We'll use the points (-6, 0) and (0, -3)

(-3 - 0) / (0 + 6) = -3/6 = -0.5

The slope of the line is A, -1/2



5 0
3 years ago
What is f(g(x)) for x &gt; 5?
mel-nik [20]

Answer:

\large\boxed{B.\ 4x^2-41x+105}

Step-by-step explanation:

f(x)=4x-\sqrt{x}\\\\g(x)=(x-5)^2\\\\f(g(x))\to\text{put}\ x=(x-5)^2\ \text{to}\ f(x):\\\\f(g(x))=f\bigg((x-5)^2\bigg)=4(x-5)^2-\sqrt{(x-5)^2}\\\\\text{use}\\(a-b)^2=a^2-2ab+b^2\\\sqrt{x^2}=|x|\\\\f(g(x)=4(x^2-2(x)(5)+5^2)-|x-5|\\\\x>5,\ \text{therefore}\ x-5>0\to|x-5|=x-5\\\\f(g(x))=4(x^2-10x+25)-(x-5)\\\\\text{use the distributive property:}\ a(b+c)=ab+ac\\\\f(g(x))=(4)(x^2)+(4)(-10x)+(4)(25)-x-(-5)\\\\f(g(x))=4x^2-40x+100-x+5\\\\\text{combine like terms}\\\\f(g(x))=4x^2+(-40x-x)+(100+5)\\\\f(g(x))=4x^2-41x+105

6 0
3 years ago
Read 2 more answers
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