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Otrada [13]
3 years ago
6

Simplify this algebraic equation: 3y - 7(5x + 2y)

Mathematics
1 answer:
Taya2010 [7]3 years ago
8 0

Answer: -11y - 35x

Step-by-step explanation:

This problem utilizes the Distributive Property of Multiplication.  It states that: a(x + y) = ax + ay.

Thus, utilizing this property (distributing -7), change the equation into:

3y - 35x - 14y

Then, simply combine like terms to get:

-11y - 35x

Hope it helps :) and let me know if you want me to elaborate.

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Need help on 1-3. This is algebra II.
Anastaziya [24]
Oh bro big rip I need help on math too it’s not a fun class
8 0
3 years ago
According to the rational root theorem what are all the potential rational roots of f(x)=9x^4-2x^2-3x+4
8_murik_8 [283]

Answer:

+/- 1, \frac{+-1}{+-3},\frac{+-1}{+-9},+-2,\frac{+-2}{+-3},\frac{+-2}{+-9},+-4,\frac{+-4}{+-3}, \frac{+-4}{+-9} ....

Step-by-step explanation:

The Rational root theorem states that If f(x) is a Polynomial with integer coefficients and if there exist a rational root of the form p/q then p is the factor of the constant term of the function and q is the factor of the  leading coefficient of the function

Given: f(x)= 9x^4-2x^2-3x+4

Factors of q (leading coefficient) are: +/-9, +/-3, +/-1

Factors of p (constant term) are: +/-4 , +/-2, +/- 1

According to the theorem we write the roots in p/q form:

Therefore,

p/q =+/- 1, \frac{+-1}{+-3},\frac{+-1}{+-9},+-2,\frac{+-2}{+-3},\frac{+-2}{+-9},+-4,\frac{+-4}{+-3}, \frac{+-4}{+-9} ....

7 0
3 years ago
A company is testing and comparing two candle designs. The box plots show the number of hours that each candle design lasts befo
Natalija [7]
Since these are box plots, they're based on a lot of data, and we cannot say for certain whether something will be true, but it can give us a good idea. So this means that options A & B are out, since they say 'will always', but we can never say for sure with box plots.

The boxes of the box plot represent basically the average of the data. The beginning of the box is the first quartile, the end of the box is the third quartile, and the line in the middle is the median, which is the middle of the data. Since the box in the box plot of Design A is greater than the box in the box plot of Design B, we can say it's likely that candle Design A will last longer than candle Design B, or option C.
3 0
3 years ago
The length of the segment between the points $(2a, a-4)$ and $(4, -1)$ is $2\sqrt{10}$ units. What is the product of all possibl
True [87]

Answer:

-3

Step-by-step explanation:

The length of a segment is

sqrt( ( y2-y1)^2 + (x2-x1) ^2) = 2 sqrt(10)

sqrt( ( a-4 - -1)^2 + (2a -4) ^2) = 2 sqrt(10)

sqrt( ( a-4 +1)^2 + (2a -4) ^2) = 2 sqrt(10)

Combine like terms

sqrt( ( a-3)^2 + (2a -4) ^2) = 2 sqrt(10)

Square each side

( a-3)^2 + (2a -4) ^2) = 4 *(10)

FOIL the left side

a^2 -6a +9   + 4a^2 -16a +16 = 40

Combine like terms

5a^2 -22a +25 = 40

Subtract 40 from each side

5a^2 -22a -15 =0

Factor

(a - 5) (5 a + 3) = 0

Using the zero product property

a-5 =0   5a +3 = 0

a = 5       5a = -3

a=5     a = -3/5

The product of the terms is

5 * -3/5 = -3

5 0
3 years ago
8k - 3 - 10 ( I have to simplify it)
Serga [27]

8k - 3 - 10

Solution,

= 8k - 3 - 10

= 8k - 13.

7 0
3 years ago
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