Factor completely
2x^5-7x^5/2+6

The value of x is x = -3.

What is solving an equation?

Finding an equation's solutions, or the values that satisfy the condition given by the equation, is known as solving an equation in mathematics. Solutions often consist of two expressions connected by an equals sign. One or more variables are marked as unknowns in order to find a solution.

Consider the given equation,

27 = (1/3)^x

This equation can be written as,

\(27 = \frac{1^x}{3^x}\)

Here 1^x

1\(27 = \frac{1}{3^x}\)

Take 3^x on numerator.

\(27 = 3^-^x\)

Now 27 can be written as,  \(27 = (3)(3)(3) = 3^3\)

⇒ \(3^3 = 3^-^x\)

Applying the exponent rule: \(a^b=a^c\) ⇒ b = c

So we get,

3 = -x

Multiply both sides by -1.

-3 = x

x = -3

Hence the value of x is x = 3.

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Answer:

The last one looks like its not true

Answer:

Step-by-step explanation:

4) looks wrong , or untrue.  

Answer:

The value of f(3)=12.4

Step-by-step explanation:

Average rate of change = 3.4

Interval: -2 < x < 3

f(-2) = 9

We need to find f(3)

The formula used to calculate Average rate of change is: \(Average \ rate \ of \ change=\frac{f(b)-f(a)}{b-a}\)

here we have a=-2 and b=3

Now finding f(3)

\(Average \ rate \ of \ change=\frac{f(b)-f(a)}{b-a}\\3.4=\frac{f(3)-f(-2)}{3-2} \\3.4=\frac{f(3)-9}{1}\\3.4=f(3)-9\\f(3)=3.4+9\\f(3)=12.4\)

So, The value of f(3)=12.4

Answer:

Step-by-step explanation:

\(y=\frac{2}{x+1}-3\)

asymptotes:

x+1 = 0

x = -1

y = -3

asymptotes: x = -1, y = -3

x int: \((-\frac{1}{3}, 0)\)

y int: (0, -1)

D: (-infinity, -1) (-1, infinity) x cannot be -1

R: (-infinity, -3) (-3, infinity) y cannot be -3

Answer:

4 × 10^4

→ 4× 10000

→ 40000

Correct option → 40000

hope it helped :)

The amount of money in the first box is 8 dollars

The amount of money in the second box is 2 dollars

The amount of money in the third box is 24 dollars

From the question, we are to determine how much money there are in each box

From the given information,

"Debbie has 340 dimes in three boxes"

Let x represents the number of dimes in the first box

y represent the number of dimes in the second box

and z represent the number of dimes in the third box

Thus,

x + y + z = 340

Also, from the given information

"she says that there are 4 times as many dimes in the first box as in the second"

x = 4y

and

"3 times as many in the third box as in the first"

z = 3x

Substitute the second and third equations into the first equation

x + y + z = 340

4y + y + 3x = 340

4y + y + 3(4y) = 340

4y + y + 12y = 340

17y = 340

y = 340/17

y = 20

Substitute the value of y into the second equation

x = 4y

x = 4(20)

x = 80

Substitute the value of x into the third equation

z = 3x

z = 3(80)

z = 240

Thus,

There are 80 dimes in the first box

80 dimes = 8 dollars

There are 20 dimes in the second box

20 dimes = 2 dollars

There are 240 dimes in the third box

240 dimes = 24 dollars

Hence,

The amount of money in the first box is 8 dollars

The amount of money in the second box is 2 dollars

The amount of money in the third box is 24 dollars

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9514 1404 393

Answer:

  0.984

Step-by-step explanation:

Nine hundred eighty-four thousandths is 0.984.

__

The least-significant digit of the numerator goes in the number place with the place value 1/1000. The more significant digits are then placed to the left of that in the usual way.

a. The probability to get a sample average of 33 or more customers if the manager had not offered the discount is  0.0139.

b. Yes, there is only a small chance (less than 5%) of getting 33 or more customers without the discount if you want to know about confident feel that manager's discount strategy has worked.

a. To find the probability of getting a sample average of 33 or more customers without the discount, we need to find the z-score corresponding to this value. We can use the formula:

z = (x - μ) / (σ/√n)

where x is the sample average (33), μ is the population mean (25), σ is the population standard deviation (10), and n is the sample size (5). Plugging in the values, we get:

z = (33 - 25) / (10 / √5) = 2.236

Using a standard normal table, the probability of getting a z-score of 2.236 or higher is 0.0139. So, the probability of getting a sample average of 33 or more customers without the discount is 0.0139.

b. Based on the probability we found in part a, we can conclude that it is very unlikely (less than 1.5%) to get a sample average of 33 or more customers without the discount.

Therefore, we can say that there is only a small chance (less than 5%) of getting 33 or more customers without the discount, and it is likely that the manager's discount strategy has worked. So, the answer is "Yes, there is only a small chance (less than 5%) of getting 33 or more customers without the discount".

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Lower estimate obtained would be = 35.4 liters

Upper estimate obtained would be = 35.4 liters

What is Estimate?

Estimation finds an estimate or approximation.

An approximation is a value, amount, or size closest to the true value found by rounding off.

To find upper and lower estimates for the total quantity of erupted materials after six seconds using six equal subintervals, we can use the left endpoints and the right endpoints of the subintervals to find the estimates.

The lower estimate is obtained by using the left endpoints of the subintervals to estimate the value of r(t) at each subinterval. Since there are six subintervals, we have:

lower estimate = (28 + 18 + 34 + 48 + 54 + 60) * (6/6) = 324 tons

The upper estimate is obtained by using the right endpoints of the subintervals to estimate the value of r(t) at each subinterval. We have:

upper estimate = (18 + 34 + 48 + 54 + 60 + 60) * (6/6) = 324 tons

To use the midpoint rule to estimate Q(6) using three equal subintervals, we need to find the midpoints of the subintervals. The subintervals are [0,2], [2,4], and [4,6]. The midpoints are 1, 3, and 5. The value of r(t) at these points is 18, 48, and 54 respectively. The midpoint rule estimate is given by:

Q(6) = (18 + 48 + 54) * (6/3) = 180 tons

To find lower and upper estimates for the total amount of oil leaked over the interval [0, 10] using five equal subintervals, we can again use the left endpoints and the right endpoints of the subintervals to find the estimates. The lower estimate is obtained by using the left endpoints of the subintervals to estimate the value of r(t) at each subinterval. The upper estimate is obtained by using the right endpoints of the subintervals to estimate the value of r(t) at each subinterval.

The subintervals are [0,2], [2,4], [4,6], [6,8], and [8,10]. The left endpoints are 0, 2, 4, 6, and 8, and the right endpoints are 2, 4, 6, 8, and 10. The lower estimate is obtained by using the left endpoints:

lower estimate = (8.6 + 7.5 + 6.7 + 6.4 + 5.7) * (10/5) = 35.4 liters

The upper estimate is obtained by using the right endpoints:

upper estimate = (7.5 + 6.7 + 6.4 + 5.7 + 5.1) * (10/5) = 35.4 liters

Hence, The Lower estimate obtained would be = 35.4 liters and

Upper estimate obtained would be = 35.4 liters

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Answer:

x=-2

Step-by-step explanation:

-4x-16=-8

+16

-4x=8/-4

x=-2

Answer:

x + 7

Step-by-step explanation:

amy is unknown x + 7 equals zack

Answer:

3.5 seconds

Step-by-step explanation:

h(t) = 112t - 16t^2

we can re-write it: h(t) = -16t^2 + 112t

with a = -16 and b = 112

the formula -b/(2a) corresponds to x-coordinate of the maximum.

-112/(2 x -16) = 3.5

The standard deviation of the data in this problem is given as follows:

0.5.

Considering the bell curve of the distribution, the distribution in this problem is the normal distribution.

The mean of the distribution is the center value of the distribution, which is given as follows:

2.

The standard deviation is the change at the tails of the distribution, hence it is given as follows:

0.5.

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Answer: C

Step-by-step explanation:

Same thing as before(I believe I answered a similar question).

Substitute the values for the variables.

Do that, and you get

(1/2)^2+2/5

= 1/4+2/5

= 5/20+8/20

= 13/20

The answer is C.

Answer:

yes, no because it's not a decimal with only one digit in front of the decimal mark, no because the decimal point is too far forward.

A:

i:

5.1 x 10^6

9.75 x 10^10

1.2 x 10^-7

5.008 x 10^-6

ii:

a. 3200000000000

b. 50700

c. 0.00056

d. 0.083

B:

3,2,4,1

1,2,3,4 -ik but it's what i got

1,3,4,2

C:

uranus, neptune, saturn, jupiter

answer choice B

D:

8 x 10^-5

9 x 10^6

3 x 10^-5

7 x 10^-5

5.5 x 10^5

3.2 x 10^5

8.2 x 10^5

7.3 x 10^-3

0.0000832

3120000

0.009

0.0085

8000000

0.05

0.067

57.5

Step-by-step explanation:

Answer:

$16

Step-by-step explanation 2 x 8 to 8 + 8 =16

Answer:

x > 5

Step-by-step explanation:

14 -14 - 3 x < -1 -14

-3 x < -15

-3 x / -3 < -15 / -3

x > 5

Answer: 180 gallons needed

Step-by-step explanation:

Zykeith,

Assume x gallons of 50% antifreeze is needed

Final mixture is x + 60 gallons

Amount of antifreeze in mixture is 0.4*(x+60)

Amount of antifreeze added is .5x + .1*60 = .5x + 6

so .5x + 6 = .4(x + 60)

.5x -.4x = 24 -6

.1x = 18

x = 180

Let x be the number of gallons of the 50% antifreeze solution needed. We know that the resulting mixture will be 70 + x gallons. To get a 40% antifreeze mixture, we can set up the following equation:

\({\implies 0.5x + 0.1(70) = 0.4(70 + x)}\)

Simplifying the equation:

\(\qquad\implies 0.5x + 7 = 28 + 0.4x\)

\(\qquad\quad\implies 0.1x = 21\)

\(\qquad\qquad\implies \bold{x = 210}\)

\(\therefore\) We need 210 gallons of the 50% antifreeze solution to mix with 70 gallons of 10% antifreeze to get a mixture that is 40% antifreeze.

\(\blue{\overline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}}\)

Answer:

W > 2

Step-by-step explanation:

-2W + 17 < 13

-2W < -4

W > 2

Answer:

PD = 95%

Step-by-step explanation:

(2,000 - 100) / 2,000       times 100

( (original - new) ) / original     times 100

=  1,900 / 2,000    times 100

=  0.95 times 100

=  95% decrease

Step-by-step explanation:

The angle between the sides measuring 4 and 5 in the obtuse triangle is approximately 101.54 degrees.

To find the measure of the angle between the sides measuring 4 and 5 in an obtuse triangle with side lengths 4, 5, and 7, we can use the Law of Cosines. The Law of Cosines states that in a triangle with side lengths a, b, and c, and an angle opposite to side c, the following equation holds:

\(c^2 = a^2 + b^2 - 2ab*cos(C)\)

In this case, we have side lengths a = 4, b = 5, and c = 7. We want to find the angle C, which is opposite to side c. Substituting these values into the Law of Cosines, we get:

\(7^2 = 4^2 + 5^2\)- 2(4)(5)*cos(C)

49 = 16 + 25 - 40*cos(C)

49 = 41 - 40*cos(C)

40*cos(C) = 41 - 49

40*cos(C) = -8

cos(C) = -8/40

cos(C) = -0.2

To find the measure of angle C, we can take the inverse cosine (arccos) of -0.2:

C = arccos(-0.2)

Using a calculator, we find that C ≈ 101.54 degrees.

Therefore, the measure of the angle between the sides measuring 4 and 5 in the obtuse triangle is approximately 101.54 degrees.

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Answer:

y=2x+6.

Step-by-step explanation:

1) the condition 'an x-intercept of "-3"' means the point A with the coordinates (-3;0), then it is possible to make up the required equation according to the rule (the coordinates (-2;2) belong to the point B):

\(2) \ \frac{x-X_B}{X_A-X_B}=\frac{y-Y_B}{Y_A-Y_B}, \ where \ X_A=-2;Y_A=2;X_B=-3;Y_B=0.\)

after the substitution the coordinates into the rule:

\(\frac{x+3}{-2+3} =\frac{y-0}{2-0}; \ => \ \frac{x+3}{1}=\frac{y}{2}; \ => \ y=2x+6.\)

The figure is the combination of the rectangle and square. Then the area of the figure will be 13 square units.

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

Then the area of the geometry will be

The figure is the combination of the rectangle and square.

Then we have

Area = 3 x 3 + 4 x 1

Area = 9 + 4

Area = 13 square units

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Answer:

The equation that models the relationship between Z and N is N = 56 Z

Step-by-step explanation:

The form of the linear equation is y = m x + b, where

∵ Mark reads 42 pages of a book every \(\frac{3}{4}\) of an hour

→ Find his rate per hour by dividing the number of pages by its time

∴ His rate of reading = 42 ÷  \(\frac{3}{4}\) = 42 ×  \(\frac{4}{3}\) = 56 pages per hour

∵ His rate = 56 pages/hour

∴ m = 56

∵ Z represents the number of hours Mark reads

→ That means replace x in the form of the equation above with Z

∵ N represents the number of pages of the book he reads

→ That means replace y in the form of the equation above with N

∴ N = 56 Z + b

∵ There is no initial amount of reading

∴ b = 0

∴ N = 56 Z

The equation that models the relationship between Z and N is N = 56 Z

Answer:

its 2 1/6 (B)

Step-by-step explanation:

Answer:

m = -3 ; c = 1

Step-by-step explanation:

y = -3x + 1

y = mx + c

m = -3

c = 1