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Natalka [10]
3 years ago
6

5 times a number is 6 less than the square of that number

Mathematics
1 answer:
Fed [463]3 years ago
3 0

Answer:

5x = x^2 - 6

Step-by-step explanation:

<em>a number</em> can be represented by x,

<em>5</em><em> times a number</em> can be represented as the product of 5 and x, <em>6</em> <em>less than the square of that number</em> tells us that this is equal to a number squared minus 6. <em>is</em> tells us that these two expressions are equal.

If you want a working number, just solve by completing the square once this is in standard form. This is then converted to vertex form.

x^2-5x-6 = <u>(</u><u>x-5</u><u>/</u><u>2</u><u>)</u><u>^</u><u>2</u><u>-</u><u>4</u><u>9</u><u>/</u><u>4</u> = (x^2-5x+25/4) -49/4 = x^2-5x-6.

(x-5/2)^2-49/4=0

(x-5/2)^2=49/4

(x-5/2) = ±√49/4

(x-5/2) = ±7/2

x=5/2±7/2

x=(5±7)/2

x=12/2,-2/2

x=6,-1

Thus, the number can either be 6 or -1.

You might be interested in
If f(x) = 2x^2 + 2, find f(5)
zlopas [31]

Well, following the order of PEMDAS, I got choice B. 52

For instance, when you plug in 5 for x, you get F(5)=2(5)^2+2.

Moreover, following PEMDAS, you're supposed to solve what's inside the parenthesis, but since there is no operation going on inside the parenthesis, then you simple move on to the exponent.

In this case, you square the number 5, which gives you F(5)=2(25)+2

After that, you Multiply (letter M in PEMDAS). This results in F(5)=50+2.

Finally, you add them, which results in F=52.


By the way, I noticed a mistake in your work. When multiplying 2 by 5, the answer is 10, not 20.

Anyway, hope this helped! :-)  

8 0
4 years ago
What is this one i cant seem to figure it out
pshichka [43]

Answer:

73

Step-by-step explanation:

Since DA is the diameter, this means that you can divide the circle into two half-circles.  You will solve with the right half-circle.  A half-circle has a 180 total degrees.  Add up the values given and solve for x.

(2x) + (7x - 4) + (85) = 180

2x + 7x - 4 + 85 = 180

9x - 4 + 85 = 180

9x + 81 = 180

9x = 99

x = 11

Now that you have the value of x, solve for m∠CZB.

m∠CZB = 7x - 4

m∠CZB = 7(11) - 4

m∠CZB = 77 - 4

m∠CZB = 73

6 0
3 years ago
For what values of X are the statements below true
Galina-37 [17]

Answer:

See solutions below

Step-by-step explanation:

For what values of X are the statements below true

A. 1x>x+1

x >x+1

x-x>1

0x > 1

x > 1/0

X >∞

B) |1-x|>3

The fucntion can both be positive and negative

For the negative function

-(1-x) > 3

-1+x > 3

x > 3+1

x > 4

For the positive function

1-x > 3

-x > 3 - 1

-x > 2

x < -2

Hence the required solutions are x > 4 and x < -2

c) For the equation

|x-15| < 0

-(x - 15) < 0

-x + 15 < 0

-x < -15

x > 15

Also x-15 < 0

x < 0+15

x < 15

Hence the required solution is x > 15 and x < 15

3 0
3 years ago
What is the product of (-a + 3)(a + 4)?
spayn [35]

Answer: The product of (-a + 3)(a + 4) is:  -a^2-a+12

Step-by-step explanation:

(-a+3)(a+4) = -a*a-a*4+3*a+3*4

=-a^{2} -4a+3a+12

now just simply combine..

=-a^2-a+12

the answer is -a^2-a+12

8 0
3 years ago
Sanjeev had 350 marbles and he gave 1/5 of them to his friend, Rayson. How many
kicyunya [14]

Answer:

70

Step-by-step explanation:

6 0
3 years ago
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