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Mariulka [41]
3 years ago
13

What are the prime factor of 625 a. 25.25 b.1,5,5,5,5 c.5,5,25 d.5,5,5,5

Mathematics
2 answers:
Natalka [10]3 years ago
3 0
<span>d.5,5,5,5. A prime number is a number only divisible by 1 and itself. 1 is not a prime number.</span>
mario62 [17]3 years ago
3 0
       625
         ∧
  25   ×   25
   ∧          ∧
5 × 5 × 5 × 5

The answer is D.
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How do you illustrate<br>quadratic equation<br>in one variable?​
soldi70 [24.7K]

Step-by-step explanation:

Quadratic Equation

Quadratic equation is in the form

ax2+bx+c=0

Where

a, b, & c = real-number constants

a & b = numerical coefficient or simply coefficients

a = coefficient of x2

b = coefficient of x

c = constant term or simply constant

a cannot be equal to zero while either b or c can be zero

Examples of Quadratic Equation

Some quadratic equation may not look like the one above. The general appearance of quadratic equation is a second degree curve so that the degree power of one variable is twice of another variable. Below are examples of equations that can be considered as quadratic.

1. 3x2+2x−8=0

2. x2−9=0

3. 2x2+5x=0

4. sin2θ−2sinθ−1=0

5. x−5x−−√+6=0

6. 10x1/3+x1/6−2=0

7. 2lnx−−−√−5lnx−−−√4−7=0

For us to see that the above examples can be treated as quadratic equation, we take example no. 6 above, 10x1/3 + x1/6 - 2 = 0. Let x1/6 = z, thus, x1/3 = z2. The equation can now be written in the form 10z2 + z - 2 = 0, which shows clearly to be quadratic equation.

Roots of a Quadratic Equation

The equation ax2 + bx + c = 0 can be factored into the form

(x−x1)(x−x2)=0

Where x1 and x2 are the roots of ax2 + bx + c = 0.

Quadratic Formula

For the quadratic equation ax2 + bx + c = 0,

x=−b±b2−4ac−−−−−−−√2a

See the derivation of quadratic formula here.

The quantity b2 - 4ac inside the radical is called discriminat.

• If b2 - 4ac = 0, the roots are real and equal.

• If b2 - 4ac > 0, the roots are real and unequal.

• If b2 - 4ac < 0, the roots are imaginary.

Sum and Product of Roots

If the roots of the quadratic equation ax2 + bx + c

= 0 are x1 and x2, then

Sum of roots

x1+x2=−ba

Product of roots

x1x2=ca

You may see the derivation of formulas for sum and product of roots here.

4 0
3 years ago
Mr. King has 36 pair of shoes. 3/4 of them are gym shoes, how many of his shoes are gym shoes
Alex777 [14]

Answer:

The number of pair of gym shoes does Mr. king has is 27 pairs .

Step-by-step explanation:

Given as :

Total number of pairs of shoes does king has = 36 pairs

The number of gym shoes = \dfrac{3}{4} of the total pairs of shoes

Let The number of pair of gym shoes = n

<u>According to question</u>

The number of gym shoes = \dfrac{3}{4}  × the total pairs of shoes

Or, n = \dfrac{3}{4}  × 36

i.e n = \frac{3\times 36}{4}

Or, n = 3 × 9

∴   n = 27

So, The number of pair of gym shoes = n = 27 pairs

Hence, The number of pair of gym shoes does Mr. king has is 27 pairs . Answer

6 0
3 years ago
Consider the given function and the given interval. f\(x\) = (x - 7)**2 text(, ) [5 text(, ) 11] (a) Find the average value fave
Jet001 [13]

a. f has an average value on [5, 11] of

f_{\rm ave}=\displaystyle\frac1{11-5}\int_5^{11}(x-7)^2\,\mathrm dx=\frac{(x-7)^3}{18}\bigg|_5^{11}=\frac{4^3-(-2)^3}{18}=4

b. The mean value theorem guarantees the existence of c\in(5,11) such that f(c)=f_{\rm ave}. This happens for

(c-7)^2=4\implies c-7=\pm2\implies c=9\text{ or }c=5

8 0
3 years ago
Please help me. Brainliest to best answer!
Bingel [31]

Answer:

4y + 48 - 16x = 0        ~Solve for y~

4y = -48 + 16x

y = -12 + 4x

The slope is 4.

We'll use the point (1, 4) and m = 4.

Plug these into the equation: y - y1 = m(x - x1)

y - 4 = 4(x - 1)

y - 4 = 4x - 4

y = 4x 

6 0
3 years ago
What is 300% of 3?<br> A) 0.09 B) 0.9 C) 9 D) 900
Goshia [24]
Your answer is 9 I think
8 0
3 years ago
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