Which expression is equivalent to 4x - (3x2 + x) + 5 - (2x2 + 1)?

Answers

Answer 1
4x - (3x^2 + x) + 5 - (2x^2 + 1)

4x + x - 3x^2 - 2x^2 + 5 + 1

= 5x - 1x^2 + 6

Therefore the equivalent is 5x - 1x^2 + 6

Related Questions

Convert 46ft to yard and ft

Answers

Answer:

46 ft to yd conversion. A foot is a unit of length equal to exactly 12 inches or 0.3048 meters.

...

Convert 46 Feet to Yards.

ft yd

46.00 15.333

46.01 15.337

46.02 15.34

46.03 15.343

ft yd

46.00 15.333

46.01 15.337

46.02 15.34

46.03 15.343

46.04 15.347

46.05 15.35

46.06 15.353

46.07 15.357

46.08 15.36

46.09 15.363

46.10 15.367

46.11 15.37

46.12 15.373

46.13 15.377

46.14 15.38

46.15 15.383

46.16 15.387

46.17 15.39

46.18 15.393

46.19 15.397

46.20 15.4

46.21 15.403

46.22 15.407

46.23 15.41

46.24 15.413

ft yd

46.25 15.417

46.26 15.42

46.27 15.423

46.28 15.427

46.29 15.43

46.30 15.433

46.31 15.437

46.32 15.44

46.33 15.443

46.34 15.447

46.35 15.45

46.36 15.453

46.37 15.457

46.38 15.46

46.39 15.463

46.40 15.467

46.41 15.47

46.42 15.473

46.43 15.477

46.44 15.48

46.45 15.483

46.46 15.487

46.47 15.49

46.48 15.493

46.49 15.497

ft yd

46.50 15.5

46.51 15.503

46.52 15.507

46.53 15.51

46.54 15.513

46.55 15.517

46.56 15.52

46.57 15.523

46.58 15.527

46.59 15.53

46.60 15.533

46.61 15.537

46.62 15.54

46.63 15.543

46.64 15.547

46.65 15.55

46.66 15.553

46.67 15.557

46.68 15.56

46.69 15.563

46.70 15.567

46.71 15.57

46.72 15.573

46.73 15.577

46.74 15.58

ft yd

46.75 15.583

46.76 15.587

46.77 15.59

46.78 15.593

46.79 15.597

46.80 15.6

46.81 15.603

46.82 15.607

46.83 15.61

46.84 15.613

46.85 15.617

46.86 15.62

46.87 15.623

46.88 15.627

46.89 15.63

46.90 15.633

46.91 15.637

46.92 15.64

46.93 15.643

46.94 15.647

46.95 15.65

46.96 15.653

46.97 15.657

46.98 15.66

46.99 15.663

Step-by-step explanation:

Hope this helps <3

Find all complex solutions of 7x^2-7x+3=0

Answers

Answer:

The complex solutions are

[tex]x = (\frac{7-\sqrt{35} i }{42} , ) x = \frac{7 + \sqrt{35} i }{42})[/tex]

Step-by-step explanation:

Step(i):-

Given equation  7 x² - 7 x +3=0

                     [tex]x = (\frac{-b -\sqrt{b^{2}-4ac } }{2ac} , \frac{-b +\sqrt{b^{2}-4ac } }{2ac})[/tex]

Given standard equation

                         a x² +b x +c =0

 a = 7 , b= -7 and c=3

Step(ii):-

[tex]x = (\frac{-(-7) -\sqrt{(-7)^{2}-4(7)(3) } }{2(7)(3)} , \frac{-(-7) +\sqrt{(-7)^{2}-4(7)(3) } }{2(7)(3)})[/tex]

[tex]x = (\frac{7-\sqrt{(49-84 } }{42} , \frac{7 +\sqrt{(49-84 } }{42})[/tex]

[tex]x = (\frac{7-\sqrt{35i^{2} } }{42} , \frac{7 + \sqrt{35i^{2} } }{42})[/tex]

[tex]x = (\frac{7-\sqrt{35} i }{42} , \frac{7 + \sqrt{35} i }{42})[/tex]

HELPPPPPPPPPPPPPPPPPPpppp

Answers

Answer:

Step-by-step explanation:

Part A:

Add all the mass together so 1,105.5 grams

Question Help
9
s shown by the formula F= C+32. At what temperature will a Fahrenheit thermometer read the same as a Celsius thermometer
X

Answers

Answer:

It will read the same at F = -40.

Step-by-step explanation:

The relation between fahrenheit and celsius is given by the following equation:

[tex]C = \frac{5(F-32)}{9}[/tex]

At what temperature will a Fahrenheit thermometer read the same as a Celsius thermometer?

This is F for C = F. So

[tex]C = \frac{5(F-32)}{9}[/tex]

[tex]F = \frac{5(F-32)}{9}[/tex]

[tex]9F = 5F - 160[/tex]

[tex]4F = -160[/tex]

[tex]F = -\frac{160}{4}[/tex]

[tex]F = -40[/tex]

It will read the same at F = -40.

Your challenge is to create a cylindrical can that minimizes the cost of materials but must hold 100 cubic inches. The top and bottom of the can cost $0.014 per square inch, while the sides cost only $0.007 per square inch. Show how you did it too?

Answers

Answer:

[tex]Radius = 1.997\ in[/tex] and [tex]Height = 7.987\ in[/tex]

[tex]Cost = \$1.05[/tex]

Step-by-step explanation:

Given

[tex]Volume = 100in^3[/tex]

[tex]Cost =\$0.014[/tex] -- Top and Bottom

[tex]Cost =\$0.007[/tex] --- Sides

Required

What dimension of the cylinder minimizes the cost

The volume (V) of a cylinder is:

[tex]V = \pi r^2h[/tex]

Substitute 100 for V

[tex]100 = \pi r^2h[/tex]

Make h the subject

[tex]h = \frac{100 }{\pi r^2}[/tex]

The surface area (A) of a cylinder is:

[tex]A = 2\pi r^2 + 2\pi rh[/tex]

Where

[tex]Top\ and\ bottom = 2\pi r^2[/tex]

[tex]Sides = 2\pi rh[/tex]

So, the cost of the surface area is:

[tex]C = 2\pi r^2 * 0.014+ 2\pi rh * 0.007[/tex]

[tex]C = 2\pi r(r * 0.014+ h * 0.007)[/tex]

[tex]C = 2\pi r(0.014r+ 0.007h)[/tex]

Substitute [tex]h = \frac{100 }{\pi r^2}[/tex]

[tex]C = 2\pi r(0.014r+ 0.007*\frac{100 }{\pi r^2})[/tex]

[tex]C = 2\pi r(0.014r+ \frac{0.007*100 }{\pi r^2})[/tex]

[tex]C = 2\pi r(0.014r+ \frac{0.7}{\pi r^2})[/tex]

[tex]C = 2\pi (0.014r^2+ \frac{0.7}{\pi r})[/tex]

Open bracket

[tex]C = 2\pi *0.014r^2+ 2\pi *\frac{0.7}{\pi r}[/tex]

[tex]C = 0.028\pi *r^2+ \frac{2\pi *0.7}{\pi r}[/tex]

[tex]C = 0.028\pi *r^2+ \frac{2 *0.7}{r}[/tex]

[tex]C = 0.028\pi *r^2+ \frac{1.4}{r}[/tex]

[tex]C = 0.028\pi r^2+ \frac{1.4}{r}[/tex]

To minimize, we differentiate C w.r.t r and set the result to 0

[tex]C' = 0.056\pi r - \frac{1.4}{r^2}[/tex]

Set to 0

[tex]0 = 0.056\pi r - \frac{1.4}{r^2}[/tex]

Collect Like Terms

[tex]0.056\pi r = \frac{1.4}{r^2}[/tex]

Cross Multiply

[tex]0.056\pi r *r^2= 1.4[/tex]

[tex]0.056\pi r^3= 1.4[/tex]

Make [tex]r^3[/tex] the subject

[tex]r^3= \frac{1.4}{0.056\pi }[/tex]

[tex]r^3= \frac{1.4}{0.056 * 3.14}[/tex]

[tex]r^3= \frac{1.4}{0.17584}[/tex]

[tex]r^3= 7.96178343949[/tex]

Take cube roots of both sides

[tex]r= \sqrt[3]{7.96178343949}[/tex]

[tex]r= 1.997[/tex]

Recall that:

[tex]h = \frac{100 }{\pi r^2}[/tex]

[tex]h = \frac{100 }{3.14 * 1.997^2}[/tex]

[tex]h = \frac{100 }{12.52}[/tex]

[tex]h = 7.987[/tex]

Hence, the dimensions that minimizes the cost are:

[tex]Radius = 1.997\ in[/tex] and [tex]Height = 7.987\ in[/tex]

To calculate the cost, we have:

[tex]C = 2\pi r(0.014r+ 0.007h)[/tex]

[tex]C = 2* 3.14 * 1.997 * (0.014*1.997+ 0.007*7.987)[/tex]

[tex]Cost = \$1.05[/tex]

Ca anyone answer this??

Answers

Answer:*

*Can

Step-by-step explanation:

Find the domain and range of the relation.
please please help me

Answers

Answer:

The domain of the relation is [tex]D = [-2,\infty)[/tex]

The range of the relation is [tex]R = (-\infty, \infty)[/tex]

Step-by-step explanation:

Domain and range:

Domain is considered to be the input values, in a graph, the values of x.

Range is considered to be the output values, in a graph, the values of y.

In this graph:

x starts at -2 and goes to infty. So the domain is: [tex]D = [-2,\infty)[/tex]

As for y, the arrows indicates it goes to infinity. So [tex]R = (-\infty, \infty)[/tex]

the amount a basketball coach spends at a sporting good store depends on the number of basketballs the coach buys. the situation is represented by the function rule a = 14b

Answers

Answer: 0,16,32,48,64

Step-by-step explanation: the equation 16b means you will multiple 16 by whatever is in the b box. For the first b is equal to 0 so 16x0 = 0, the second b is equal to 1 so 16x1 = 16

A pharmacist has 600 milliliters of a solution that is ​30% active ingredient. How much pure water should she add to the solution to get a solution that is 15​% active​ ingredient?

Answers

Answer:

600 ml of pure water.

Step-by-step explanation:

To determine how much pure water the pharmacist should add to a 600ml solution with 30% active ingredient, so that this solution becomes 15%, the following calculation must be performed:

600 x 0.3 = 180

15 = 180

100 = X

100 x 180/15 = X

18,000 / 15 = X

1,200 = X

1,200 - 600 = 600

Thus, 600 ml of pure water should be added to achieve a 15% solution.

A lie detector test is accurate 70% of the time, meaning that for 30% of the times a suspect is telling the truth, the test will conclude that the suspect is lying, and for 30% of the times a suspect is lying, the test will conclude that he or she is telling the truth. A police detective arrested a suspect who is one of only four possible perpetrators of a jewel theft. If the test result is positive (i.e., concludes that the subject is guilty), what is the probability that the arrested suspect is actually guilty

Answers

Answer:

0.475

Step-by-step explanation:

Given that :

We are to calculate the true positive :

True POSITIVE (TP) = 70% = 0.7

False POSITIVE (CP = 30% = 0.3

True Negative = 30% = 0.3

Number arrested = 4

(1/n * TP) / [(1/n * TP) + (n-1 /n * FP)

= (1/4 * 0.7) / [(1/4 * 0.7) + (3/4 * 0.3)

= 0.175 / (0.175 + 0.225)

= 0.175 / 0.4

= 0.475

A builder is using the scale drawing below to build a house. If the owner decides to increase the living room dimensions by 25%,what is the new length and width of the living room floor? (1cm=5 feet)

Answers

Answer:

Step-by-step explanation:

Building scale is 1cm=5feet

This means 1 cm is equivalent to 5 feet

If 1 cm is equals to 5 feet and the owner wants a 25% increase in dimension, this means;

25/100 =0.25.

0.25 x the actual dimension

0.25 x 5 = 1.25

1.25 + actual dimension

1.25 + 5 = 6.25.

This means the scale of the room will be on 1cm =6.25feet.

If the length of the room is A, the width is B;

The new length will then be 1.25 x A =1.25A

1.25A + A

The length of the new room is 1.25A +A

While the width of the new room is 1.25B +B

Last year, nine employees of an electronics company retired. Their ages at retirement are listed below.


56 65 62 53 68 58 65 52 56


Find the median retirement age. Round your answer to one more decimal place than is present in the original data values.

Answers

Answer:

58.0

Step-by-step explanation:

Given the data:

56 65 62 53 68 58 65 52 56

Reorderd data: 52, 53, 56, 56, 58, 62, 65, 65, 68

Median = 1/2(n + 1) th term

n = sample size = 9

Hence,

Median = 1/2(9 + 1)th term

Median = 1/2(10)th term

Median = 5th term

5th term in the reordered data = 58

Hence, median age is 58

which number is composite? (9,5,11,2)​

Answers

Answer: 9

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

3 x 3 = 9 :)

find the value of x in the equation below.

x+1=6

Answers

X+1=6
Move the constant to the right hand side and change its sing
X=6-1
You subtract the number
X=5
And that’s your solution

Need help ASAP
Will make you brainlist

Answers

Answer:

y=1.3x-3

or

y=4/3x-3

Step-by-step explanation:

1.3 is the slope (the change in between points)

-3 is the y intercept (the point on the y-axis)

I need a answer Plss sombody help me

Answers

Answer:

add 4 and 2

because you always have to simplify numbers that are inside the parentheses.

A distribution of measurements is relatively mound-shaped with a mean of 40 and a standard deviation of 15. Use this information to find the proportion of measurements in the given interval. between 25 and 55

Answers

Answer:

The proportion of measurements between 25 and 55

P( 25 ≤ X≤ 55) = 0.6826

Step-by-step explanation:

Step(i):-

Given that the mean of the Population = 40

Given that standard deviation of the Population = 15

Let 'x' be the random variable in normal distribution

Let 'X' = 25

[tex]Z = \frac{x-mean}{S.D} = \frac{25-40}{15} = -1[/tex]

Let 'X' = 55

[tex]Z = \frac{x-mean}{S.D} = \frac{55-40}{15} = 1[/tex]

Step(ii):-

The probability that between 25 and 55

P( 25 ≤ X≤ 55) = P( -1≤z≤1)

                       = A(1) - A(-1)

                      = A(1) + A(1)

                     = 2 × A(1)

                    = 2× 0.3413

                   = 0.6826

The proportion of measurements between 25 and 55

P( 25 ≤ X≤ 55) = 0.6826

Final answer:-

The proportion of measurements between 25 and 55

P( 25 ≤ X≤ 55) = 0.6826

Is a credit of $55 negative or positive ?

Answers

Answer:

positive

Step-by-step explanation:

Answer:

Answer: Positive

Step-by-step explanation:

3
Simplify the expression below:
20 – 10y – 7y + 9

Answers

Answer:

y = 1.705882353

Step-by-step explanation:Combine like terms: 20 + 9 = 29

29 + -10y + -7y = 0

Combine like terms: -10y + -7y = -17y

29 + -17y = 0

Solving

29 + -17y = 0

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-29' to each side of the equation.

29 + -29 + -17y = 0 + -29

Combine like terms: 29 + -29 = 0

0 + -17y = 0 + -29

-17y = 0 + -29

Combine like terms: 0 + -29 = -29

-17y = -29

Divide each side by '-17'.

y = 1.705882353

Simplifying

y = 1.705882353

In order in simplified form is -17y + 29

Let p: A number is greater than 25.
Let q: A number is less than 35.
If p1 is true, then what could the number be? Select two options.
24
28
32
36
40

Answers

It could be 28 if I’m not mistaken

Answer:

28 and 32 or B And C

Step-by-step explanation:

Find the values of x and y

Answers

Answer:

2x-10=x+80

2x-x=80+10

X=90

3y-4=y+20

3y-y=20+4

2y=24

Y=24/2

Y=12

Im not sure man, but i hope it helps, good luck :)

Quadrilateral ABCD was translated 4 units to the left and 2 units down to create Quadrilateral A'B'C'D', Which rule describes this transformation?
(xy) -> (x + 4. y + 2)
(x,y) -> (x - 4. y - 2)
(x,y) -> (x - 4y + 2)
(x,y) --> (x - 2. y + 4)

Answers

Answer:

(x,y) -> (x - 4. y - 2)

During an experiment, Aika measured the time it took for a ball to roll down a ramp set at an angle. She measured that it took 1.010 seconds. The exact time it should take based on calculations is 0.904 seconds. What was her experimental error?

Answers

Answer:

11.725%

Step-by-step explanation:

Given that :

True value = 0.904 seconds

Measured time = 1.010 seconds

Experimental error :

(|measured value - True value | / true value) * 100%

(|1.010 - 0.904| ÷ 0.904) * 100%

= 0.106 / 0.904 * 100%

= 0.1172566 * 100%

= 11.725%

Answer:

11.725%

Step-by-step explanation:

Help please ASAP giving brainly and giving 64 points please

Answers

the answer is three i think

x = 3 because the only equation to get five would be 3. 2 plus 3 is 5. 3 plus 2 is also five. So three is the answer.

tile model

X  1 1 1 = 1 1 1 1 1

X = 3

Answer:

for the first one x = 4

for the second one x = -8

Step-by-step explanation:

x − 7 + 7= −3 + 7 so x = 4

x + 3 − 3= −5 − 3 so x = -8

The two trapezoids below are similar. What is the length of EF

Answers

The two trips episodes below are similar what is the length to EF2 +2 is 4-1 that’s three quick maths

Answer:

answer is 6

Step-by-step explanation:

i know answer is 2 weeks late

Olive weights are classified according to a unique set of adjectives implying great size. For example, the mean weight of olives classified as "Colossal" is 7.7 grams. Suppose a particular company’s crop of "Colossal" olives is approximately Normally distributed with a mean of 7.7 grams and a standard deviation of 0.2 grams. Which of the following represents the probability that the mean weight of a random sample of 3 olives from this population is greater than 8 grams?

a. 0.0970
b. 0.9953
c. 0.0668
d. 0.0047
e. 0.1932

Answers

Answer:

d. 0.0047

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Population:

We have that [tex]\mu = 7.7, \sigma = 0.2[/tex]

Sample of 3:

[tex]n = 3, s = \frac{0.2}{\sqrt{3}} = 0.1155[/tex]

Which of the following represents the probability that the mean weight of a random sample of 3 olives from this population is greater than 8 grams?

This is 1 subtracted by the pvalue of Z when X = 8. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{8 - 7.7}{0.1155}[/tex]

[tex]Z = 2.6[/tex]

[tex]Z = 2.6[/tex] has a pvalue of 0.9953

1 - 0.9953 = 0.0047

The probability is given by option d.

You can calculate the z score for the specified sample and then use the z tables to find the p value(probability) needed.

The probability that the mean weight of a random sample of 3 olives from this population is greater than 8 grams is given by

Option d : 0.0047

How to find the z score for a sample taken from a normal distribution holding random variate?

Suppose that the sample is of size 'n', then we have the z score(we are converting random variable X to standard random variable Z) as:

[tex]Z = \dfrac{X - \overline{x}}{s} = \dfrac{X - \mu}{\sigma/\sqrt{n}}[/tex]

where [tex]\overline{x}[/tex] is mean of the sample

s is the standard deviation of the sample,

and we used the central limit theorem which says that a sample from a normally distributed population with [tex]mean = \mu[/tex] and standard deviation = [tex]\sigma[/tex] can have its mean approximated by population mean and its standard deviation approximated by [tex]s = \dfrac{\sigma}{\sqrt{n}}[/tex]

Using the data given to find the intended probability

Let the weight of the the olives for the given crop of olives of a particular company for taken random sample is given by X (a random variable)

Then, we have:

[tex]X \sim N(7.7, 0.2)[/tex]

where

[tex]\mu = 7.7, \sigma = 0.2[/tex]

Thus, we have:

[tex]\overline{x} = \mu, s = \sigma/\sqrt{n} = 0.2/\sqrt{3}[/tex]

Using the given facts, we get the needed probability as:

[tex]P( X> 8)[/tex] sample size n  = 3)

Then, using the z score, we get):

[tex]P(X > 8) = 1 - P(X \leq 8) = 1 - P(Z \leq \dfrac{8 - 7.7}{0.2/\sqrt{3}})\\\\P(X > 8)=1- P(Z \leq \dfrac{0.3\sqrt{3}}{0.2}) = 1- P(Z \leq 1.5 \times \sqrt{3} )\\\\P(X > 8) = 1 - P(Z \leq 2.59) = 1- 0.9952 \approx 0.0047[/tex]

Thus,

The probability that the mean weight of a random sample of 3 olives from this population is greater than 8 grams is given by

Option d : 0.0047

Learn more about standard normal distribution here:

https://brainly.com/question/14989264

15.3+1h=1.3−1h solve for h plese solve the whole thing not just the answer

Answers

Answer:

0.1 (153+10h)

Step-by-step explanation:

factor out 0.1 of 15.3 +10h

Answer:

15.3+1h=1.3−1h

15.3-1.3=-1h-1h

14=-2h

h=14/-2=-7

Type using number words. (Remember to use a hyphen in your answer where needed.)
355

Answers

Three hundred- fifty- five

Reason; number words refer to the alphabetical form of numbers.

Pete dad usually deposits $25 into his bank account every week.for the next weeks he wants to deposit more than the usually $25 and he wants the extra amount deposited to be the same each week.Which inequality and solution show how much more he can deposit each week and keep the total of his deposit above $500 for those 8 weeks? Yo

Answers

Answer:

The answer is "8(25+x)>500;x>37.50".

Step-by-step explanation:

Please find the complete question in the attached file.

 [tex]\to 8(25+x)>500\\\\\to 200 +8x>500\\\\\to 8x> 300\\\\\to x> \frac{300}{8}\\\\\to x> 37.50[/tex]

That's why above given choice is correct.

The area of rectangle RSTU is 36x2+25x−25. The length of the rectangle RSTU is 4x+5. Which expression describes the width of the rectangle RSTU?

Answers

Given:

The area of the rectangle RSTU = [tex]36x^2+25x-25[/tex]

Length of the rectangle RSTU = [tex]4x+5[/tex]

To find:

The width of the rectangle RSTU.

Step-by-step explanation:

We have,

[tex]36x^2+25x-25[/tex]

Splitting the middle term, we get

[tex]=36x^2+45x-20x-25[/tex]

[tex]=9x(4x+5)-5(4x+5)[/tex]

[tex]=(4x+5)(9x-5)[/tex]

We know that, the area of a rectangle is

[tex]Area=Length \times width[/tex]

Area of rectangle is product of (4x+5) and (9x-5).

Since (4x+5) is the length of the rectangle, therefore, (9x-5) is the width of the rectangle RSTU.

Other Questions
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