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ratelena [41]
3 years ago
7

The area of the conference table in Mr. Nathan’s office must be no more than 175 ft2. If the length of the table is 18 ft more t

han the width, x, which interval can be the possible widths?
Mathematics
1 answer:
valentina_108 [34]3 years ago
7 0
The answer is  0 < x <span>≤ 7 
</span>
First, we know that width =  x
Which means that length = x +18

So, the possible equation for the Table's area is

X (X + 18)  ≤ 175

X^2 + 18x - 175  <span>≤ </span>0

Next, we need to calculate is by using complete square method
x^2 + 18x + 81 <span>≤ 175 + 81

(x + 9)^2 </span><span>≤ 256

|x + 9| </span><span>≤ sqrt(256)

|x + 9| </span><span>≤ +-16

-16 </span>≤ x + 9 <span>≤ 16

</span>-16 - 9 ≤ x <span>≤ 16 - 9

</span>-25 ≤ x <span>≤ 7

Since the width couldn't be negative, we can change -25 with 0,

so it become
</span> 0 < x ≤ 7 
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malfutka [58]

Answer: A) -9

Step-by-step explanation:

If x = -2

Then 3^{x} = 3^{-2}

So, it is -9

5 0
3 years ago
Using the quadratic formula to solve 7x2 – x = 7, what are the values of x?
Kruka [31]
How the quadratic formula works:

For any quadratic equation ax² + bx + c = 0, the solution is x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}.

In the case of our equation 7x² - x = 7, first we need to subtract 7 from each side so that we have 0 on the right.
7x² - x - 7 = 0

Identify the values of a, b, and c.
a = 7, b = -1, and c = -7.

Plug these into our quadratic formula and solve.

x=\frac{-(-1)\pm\sqrt{(-1)^2-4(7)(-7)}}{2(7)}=\boxed{\frac{1\pm\sqrt{197}}{14}

There are two values for x: (1+√197)/14 and (1-√197)/14.
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5 0
4 years ago
Read 2 more answers
Plz help. Walmart Brainly S
REY [17]

Answer:

<6 = 117 degrees, <7 = 63 degrees

Step-by-step explanation:

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7 0
3 years ago
Help me out , please I forgot how to do this mathematics
netineya [11]

Answer:

C

Step-by-step explanation:

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7 0
3 years ago
Twice the difference of a number and 9 equals 8
ladessa [460]

Answer:

13 is the number.

Step-by-step explanation:

Given:

Twice the difference of a number and 9 equals 8.

Let the unknown number be 'x'.

Therefore, as per question:

The difference of 'x' and 9 = x-9

Twice the difference means 2 times the difference. So, we multiply 2 to the difference. Therefore,

2(x-9)

Now, the above expression is equal to 8. So, we equate the above expression to 8. This gives,

2(x-9)=8

Solving for 'x', we get:

Using distributive property of addition and distributing 2 inside the bracket. This gives,

2\times x-2\times 9=8\\\\2x-18=8\\\\2x=8+18\\\\2x=26\\\\x=\frac{26}{2}=13

Therefore, the unknown number is 13.

Now, we can verify our answer.

2(13-9)=26-18=8

Therefore, the answer is correct.

3 0
4 years ago
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