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evablogger [386]
3 years ago
5

How to do this step by step

Mathematics
1 answer:
Marina CMI [18]3 years ago
5 0

1. 36 = 6·6 and 42 = 6·7 have a common factor of 6.

... x⁴ and x² have a common factor of x²

The GCF is 6x².

The factorization is 36x⁴ -42x² = 6x²(6x² -7)

2. All coefficients are multiples of 4. All variable factors are multiples of x³.

The GCF is 4x³.

The factorization is 4x⁵ -8x⁴ -4x³ = 4x³(x² -2x -1)

3. The GCF of coefficients 6 and 15 is (15 mod 6) = 3, which is also a factor of the other coefficients. The lowest power of m, which is m² is also a factor of the other terms.

The GCF is 3m².

The factorization is 6m⁵ -15m⁴ -21m³ +27m² = 3m²(2m³ -5m² -7m +9)

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Im doing decimals greatest to least and i need help with number 12 and 13
erma4kov [3.2K]

(I know there isnt any real problem here to solve, but heres a tip on how to solve greatest to least with decimal problems)

1. Just because a number looks big, doesn't mean it is big

Example: 1.00000000000001 < 1.1

just look at the numbers ^ and dont just hastily read it over assuming that 1.1 is smaller because it "has less digits"

2. Negative numbers are... opposite. and they are less than positive numbers

-3.4 > -4.1

Why is this? Well, if you look on a line, with the point 0 in the middle, you can see that -3.4 is not as far away from 0 as -4.1 is. So the idea is to apply opposite logic for negative numbers

I hope these tips helped!! :D

3 0
3 years ago
Read 2 more answers
A line that passes through (-7, 5) has a slope of 1/2. Which is another point that the line passes through?
d1i1m1o1n [39]

Answer:

(1, 9)

Step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

here m = \frac{1}{2} and (a, b) = (- 7, 5), hence

y - 5 = \frac{1}{2}(x + 7)

y - 5 = \frac{1}{2} x + \frac{7}{2}

y = \frac{1}{2} x + \frac{17}{2} ← equation of line

To find another point on the line choose any value of x and substitute into the equation for the corresponding y- coordinate

x = 1 : y = \frac{1}{2} + \frac{17}{2} = 9

Thus (1, 9) is another point that the line passes through


8 0
4 years ago
Find the next three terms in each geometric sequence 32, 48, 72, 108
OlgaM077 [116]

Answer:87

Step-by-step explanation:

8 0
4 years ago
What expression gives the distance between the points 5,1 and 9,-6
notka56 [123]

<u>Answer:</u>

Distance between the points 5,1 and 9,-6 is 8.0622

<u>Explanation:</u>

Given points = (5,1) and (9,-6)

The square root of this is the distance between the points Distance  can be calculated

from the expression=   \sqrt{(x 2-x 1)^{2}+(y 2-y 1)^{2}}

=   \sqrt{(9-5)^{2}+(-6-1)^{2}}

=     \sqrt{(4)^{2}+(-7)^{2}}

=     \sqrt{16+49}=\sqrt{65}=8.0622

Distance (d) from given points = (5,1) and (9,-6) is  8.0622.

3 0
3 years ago
9 years 11 months =<br> _months?
vovikov84 [41]

Answer:

108

Step-by-step explanation:

5 0
3 years ago
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