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1 year ago

Simplify the following expressions. Put your a (3x³-5x² - 7+ 4x4) + (9x4 - 10x² - 5x³ + 3) =

Mathematics

1 answer:

leonid [27]1 year ago

6 0

first we need to get rid of the ( ) so that we can see what the question really says

(3x³-5x² - 7+ 4x4) + (9x4 - 10x² - 5x³ + 3)

= 3x³-5x²-7+4x⁴+9x⁴-10x²-5x³+3

now all we need to do is add up the numbers with the same x's

3x³-5x²-7+4x⁴+9x⁴-10x²-5x³+3

= 13x⁴-2x³-15x²-4

You might be interested in

Greatest common factor of 26m^4n^2, m^2n

Katyanochek1 [597]

Step-by-step explanation:

Hey there!

Given;

$1st \: expn = 26 {m}^{4} {n}^{2}$

= 2*13 m⁴ n²

2nd expn = m² n

Therefore, greatest common factor is; m²n.

Hope it helps!

8 0

2 years ago

An appliance dealer sold 40 tv sets during a special sale. Some of the sets were black-and - white models each selling at $119.

Harman [31]

Answer: 28 color sets were sold

Step-by-step explanation:

Let x represent the number of black-and - white models that were sold.

Let y represent the number of color sets that were sold.

An appliance dealer sold 40 tv sets during a special sale. Some of the sets were black-and - white models while the rest were color sets.. It means that

x + y = 40

Black-and - white models each sold for $119. Color sets sold at $319each. The sale brought in $10,360. It means that

119x + 319y = 10360 - - - - - -- - - - - -1

Substituting x = 40 - y into equation 1, it becomes

119(40 - y) + 319y = 10360

4760 - 119y + 319y = 10360

- 119y + 319y = 10360 - 4760

200y = 5600

y = 5600/200

y = 28

8 0

3 years ago

The volume of the cushion is 646 in^3. What’s is it’s width

FrozenT [24]

Answer:

should be 17

Step-by-step explanation:

5 0

2 years ago

In a recent survey of 1002 people, 701 said that they voted in a recent presidential election. Voting records show that 61% of e

steposvetlana [31]

Answer:

The 95% confidence interval estimate of the proportion of people who say that they voted

(0.67122 , 0.72798)

Step-by-step explanation:

Step(i):-

In a recent survey of 1002 people, 701 said that they voted in a recent presidential election.

Sample proportion

$p = \frac{x}{n} = \frac{701}{1002} = 0.6996$

Step(ii)

The 95% confidence interval estimate of the proportion of people who say that they voted

$(p^{-} - Z_{0.05} \sqrt{\frac{p(1-p)}{n} } , p^{-} + Z_{0.05} \sqrt{\frac{p(1-p)}{n} } )$

$(0.6996 - 1.96\sqrt{\frac{0.6996(1-0.6996)}{1002} } , 0.6996 + 1.96 \sqrt{\frac{0.6996(1-0.6996)}{1002} } )$

(0.6996 - 1.96 X 0.01448 , 0.6996 + 1.96 X 0.01448)

(0.6996 - 0.02838 , 0.6996 + 0.02838)

(0.67122 , 0.72798)

Final answer:-

The 95% confidence interval estimate of the proportion of people who say that they voted

(0.67122 , 0.72798)

7 0

2 years ago

Find the limit as t approaches 8 for the function f(t)=7(t-1)(t-1)

Ratling [72]

Answer:

7³

Step-by-step explanation:

You could answer this after a quick inspection. 7 remains constant as t approaches 8. Each of the (t -1) terms will approach 7. So, multiplying these factors together, you'll get 7(7)(7) = 7³3 as your answer, the limit as t approaches 8 of the given expression.

5 0

2 years ago