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3 years ago

Which factors are not included in the prime factorisation of a compisite number

Mathematics

1 answer:

BabaBlast [244]3 years ago

5 0

Answer:

factor 1 and the number itself are not included in the prime factorization of a composite number.

Step-by-step explanation:

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What inequality describes the situation? Let n = the number. A number exceeds 45

timurjin [86]

The given data is
N= the number
And the number exceeds 45.
Let's create an equation with regards to this given data.
Since the number exceeds 45, thus n is greater than 45.
> symbol of greater than
Equation: N > 45

8 0

4 years ago

A local fish market is selling fish and lobsters by the pound. The fish, f, costs $4.25 a pound, while the lobster, l, costs $9.

malfutka [58]

9514 1404 393

Answer:

7 pounds of fish
18.5 pounds of lobster

Step-by-step explanation:

Let x represent the number of pounds of lobster sold. Then 25.5-x is the number of pounds of fish. The total money made is ...

4.25(25.5-x) +9.00x = 196.25

4.75x + 108.375 = 196.25 . . . . . simplify

4.75x = 87.875 . . . . . . . . . . . subtract 108.375

x = 18.5 . . . . . . . . . . . . . . . divide by 4.75

The market sold 7 pounds of fish and 18.5 pounds of lobster.

8 0

3 years ago

Which does not represent the problem Shonne? Bethany has 1 3/8 yards of orange fabric. She uses 2/3 of the fabric to make a tote

White raven [17]

Answer:

Step-by-step explanation:

Total yard of fabric = 1 3/8 = 11/8yd

Fabric used for tote bag is 2/3 of 11/8

= 2/3 × 11/8

= 11/12 yards

6 0

3 years ago

What is the equation of the line that is parallel to y−5=−13(x+2) and passes through the point (6,−1)?

BartSMP [9]

Answer:

y=-13x + 78 I'm not sure what's up with those answer choices though

7 0

4 years ago

Find an

Vitek1552 [10]

Answer:

$y=-2x-4$

Step-by-step explanation:

<u>Perpendicular Bisector</u>

The bisector of a segment defined by points (x1,y1) and (x2,y2) must pass by the midpoint of the segment.

The midpoint (xm,ym) is calculated as follows:

$\displaystyle x_m=\frac{x_1+x_2}{2}$

$\displaystyle y_m=\frac{y_1+y_2}{2}$

The endpoints of the segment are (-3,-8) and (5,-4), thus the midpoint M is:

$\displaystyle x_m=\frac{-3+5}{2}=1$

$\displaystyle y_m=\frac{-8-4}{2}=-6$

Midpoint: M(1,-6)

Let's find the slope of the given segment. The slope can be calculated with the formula:

$\displaystyle m_1=\frac{y_2-y_1}{x_2-x_1}$

$\displaystyle m_1=\frac{-4+8}{5+3}=\frac{1}{2}$

If the bisector is also perpendicular, its slope m2 and the slope of the segment m1 must comply:

$m_1.m_2=-1$

Solving for m2:

$\displaystyle m_2=-\frac{1}{m_1}=-\frac{1}{\frac{1}{2}}=-2$

Once we have the slope -2 and the point through which our line must pass (1,-6), we compute the equation in its point-slope form:

$y-y_o=m(x-x_o)$

$y-(-6)=-2(x-1)$

Operating

$y+6=-2(x-1)$

$y+6=-2x+2$

Rearranging

$\boxed{y=-2x-4}$

8 0

4 years ago

Which factors are not included in the prime factorisation of a compisite number​

Which factors are not included in the prime factorisation of a compisite number