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3 years ago

Find the sum or difference: (5w - 9) - 3 (8 - 2w)

Mathematics

2 answers:

astraxan [27]3 years ago

6 0

Answer:11w-33

Step-by-step explanation:

(5w - 9) - 3 (8 - 2w)

(5w-9)-24+6w

5w+6w-9-24

11w-33

GREYUIT [131]3 years ago

6 0

Answer:

11w-33

Step-by-step explanation:

Just combine like terms

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Worth 5 points pls answer both questions

lianna [129]

Interest is basically a percentage that can be simple or compounded. Simple interest is the amount of a loan. Annual is a form of compounded interest. Compounded interest can be quarterly, monthly, weekly, yearly, etc.

I=Prt
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5 0

3 years ago

Sum of positive roots of the equation (x2 - 12x + 35) (x2 + 10x + 24) = 504 is

Digiron [165]

Answer:

(3)11

Step-by-step explanation:

We are given that

$(x^2-12x+35)(x^2+10x+24)=504$

We have to find the sum of positive roots of the equation.

$x^2(x^2+10x+24)-12x(x^2+10x+24)+35(x^2+10x+24)=504$

$x^4+10x^3+24x^2-12x^3-120x^2-288x+35x^2+350x+840=504$

$x^4-2x^3-61x^2+62x+840-504=0$

$x^4-2x^3-61x^2+62x+336=0$

Factor of 336

2,3,4,6,8,7,

Let x=2

$2^4-2^4-61(2^2)+62(2)+336\neq0$

x=2 is not the root of equation

x=-2

$(-2)^4-2(-2)^3-61(-2)^2+62(-2)+336=0$

Hence x=-2 is the root of equation.

x+2 is a factor of equation.

x=3

$3^4-2(3^3)-61(3^2)+62(3)+336=0$

Therefore, x=3 is the root of equation.

$(x+2)(x-3)(x^2-x-56)=0$

$(x+2)(x-3)(x^2-8x+7x-56)=0$

$(x+2)(x-3)(x(x-8)+7(x-8))=0$

$(x+2)(x-3)(x-8)(x+7)=0$

$x-8=0\implies x=8$

$x+7=0\implies x=-7$

Positive roots are 3 and 8

Sum of positive roots=3+8=11

Option (3) is true.

4 0

3 years ago

Which of the following, if substituted for y, would make the following inequality a true statement? –14 < y – 12?

trasher [3.6K]

Any number that is larger than -2.
For example y=0
-14 < 0-12
= -14 < -12

3 0

3 years ago

Is the relationship between gross box office sales and home video units significant? how can you tell? do you think the linear m

aalyn [17]

The linear model is the best fit for the relationship.

According to the statement

we have given that the relationship between gross box office sales and home video units significant and the linear model is the best fit for the relationship.

And we explain all the given statements.

So, For this purpose, we know that the

Since the p-value of the independent variable, 0.0000, is less than 0.05, we can be 95% confident that there is a significant linear relationship between gross box office and home video units.

And the

linear model is used in different ways according to the context. The most common occurrence is in connection with regression models.

So, the linear model is appropriate for the comparisons.

So, The linear model is the best fit for the relationship.

Learn more about linear model here

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#SPJ4

8 0

2 years ago

9.4+9.4-2.25+2.2-5.9+86.10+12.98-62.6

Luba_88 [7]

Answer:

49.33

Step-by-step explanation:

8 0

3 years ago