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Bad White [126]
3 years ago
5

Find the sum of 4x^{2} -4+6 and -7^{2} +3x+1

Mathematics
1 answer:
denpristay [2]3 years ago
4 0

Answer: 4x² + 3x + 52

Step-by-step explanation:

1. rearrange & simplify terms:

(4x² - 4 + 6) + (3x - 7² + 1) . . .

(4x² + 2) + (3x + 49 + 1) . . .  

 (4x²+2) + (3x + 50).

2. combine like terms in standard form:

<u>4x² + 3x + 52</u>

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You can buy 20 fluid ounces of shampoo for $4.40 or, you can buy 24 fluid ounces for $4.80 which is the better buy? Please answe
erica [24]

Answer: the 20 fluid ounces is better

Step-by-step explanation:

If you divide 20 by 4.40 that is 4.54 but if you divide 24 by 4.80 that is 5. You want to divide 20 by 4.40 because 20 is the fluid ounces and 4.40 is the money divide that to get the cost per fluid ounce then you do the same with the 24 fluid ounces and by doing that you get the sot for 1 fluid ounce then look at both of your answers and see which one is less. which one is less is the better one.

8 0
2 years ago
Use the normal distribution of SAT critical reading scores for which the mean is 502 and the standard deviation is 116. Assume t
PSYCHO15rus [73]

Answer:

(a) 93.19%

(b) 267.3

Step-by-step explanation:

The population mean and standard deviation are given as 502 and 116 respectively.

Consider, <em>X</em> be the random variable that shows the SAT critical reading score is normally distributed.

(a) The percent of the SAT verbal scores are less than 675 can be calculated as:

P(X

Thus, the required percentage is 93.19%

(b)

The number of SAT verbal scores that are expected to be greater than 575 can be calculated as:

P(X>575)=P(\frac{x-502}{116}>\frac{575-502}{116}\\P(X>575)=P(Z>\frac{575-502}{116})\\P(X>575)=P(Z>0.6293)\\P(X>575)=0.2673

So,

Out of 1000 randomly selected SAT verbal scores, 1000(0.2673) = 267.3 are expected to have greater than 575.

8 0
3 years ago
Write a linear function f with the values f (-1) = 5 and f (3) = 4.<br> A function is f(x) =
Drupady [299]

Answer:

Step-by-step explanation:

Since we have points (-1,5) and (3,4) we can find the slope m of y=mx+b

m=(y2-y1)/(x2-d1)=(5-4)/(-1-3)=1/-4=-1/4 so we have

y=-x/4+b, using point (3,4) we can solve for the y intercept, b.

4=-3/4+b, b=19/4, so the line is

y=(-x+19)/4

5 0
3 years ago
4 boxes can hold 40 books how many books per box
diamong [38]

Answer:

10 books per box

Step-by-step explanation:

40÷4

=10

10×4= 40

4 0
3 years ago
Read 2 more answers
Solve using long division <br> Please
madreJ [45]

1. Solution,\frac{2x^3+4x^2-5}{x+3}:\quad 2x^2-2x+6-\frac{23}{x+3}

Steps:

\mathrm{Divide}\:\frac{2x^3+4x^2-5}{x+3}:\quad \frac{2x^3+4x^2-5}{x+3}=2x^2+\frac{-2x^2-5}{x+3}

\mathrm{Divide}\:\frac{-2x^2-5}{x+3}:\quad \frac{-2x^2-5}{x+3}=-2x+\frac{6x-5}{x+3}

\mathrm{Divide}\:\frac{6x-5}{x+3}:\quad \frac{6x-5}{x+3}=6+\frac{-23}{x+3}

\mathrm{Simplify}, =2x^2-2x+6-\frac{23}{x+3}

\mathrm{The\:Correct\:Answer\:is\:2x^2-2x+6-\frac{23}{x+3}}

2. Solution, \frac{4x^3-2x^2-3}{2x^2-1}:\quad 2x-1+\frac{2x-4}{2x^2-1}

Steps:

\mathrm{Divide}\:\frac{4x^3-2x^2-3}{2x^2-1}:\quad \frac{4x^3-2x^2-3}{2x^2-1}=2x+\frac{-2x^2+2x-3}{2x^2-1}

\mathrm{Divide}\:\frac{-2x^2+2x-3}{2x^2-1}:\quad \frac{-2x^2+2x-3}{2x^2-1}=-1+\frac{2x-4}{2x^2-1}

\mathrm{The\:Correct\:Answer\:is\:2x-1+\frac{2x-4}{2x^2-1}}

\mathrm{Hope\:This\:Helps!!!}

\mathrm{-Austint1414}

4 0
3 years ago
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