x2 = 16, therefore x = 4. Is this a valid conclusion? If not, give a counterexample. A) YES B) NO; x = 8 C) NO; x = -4 D) NO; x = -8

Answer:

4x +12

Step-by-step explanation:

[tex]5x + 2 - x + 10\\\\\mathrm{Group\:like\:terms}\\=5x-x+2+10\\\\\mathrm{Add\:similar\:elements:}\:5x-x=4x\\=4x+2+10\\\\\mathrm{Add\:the\:numbers:}\:2+10=12\\=4x+12[/tex]

Steps to solve:

3x - 8 = -2; x - 6

~Substitute

3(x - 6) = -2

~Distribute left side

3x - 18 = -2

~Add 18 to both sides

3x = 16

~Divide 3 to both sides

x = 16/3

Best of Luck!

The solution to the equation is n = -2.

To solve the equation 30 = -5(6n + 6) step-by-step, follow these procedures:

Step 1: Distribute the -5 on the right side:

30 = -5 * 6n - 5 * 6

Step 2: Simplify the right side:

30 = -30n - 30

Step 3: Move constant term to one side:

30 + 30 = -30n

Step 4: Combine like terms:

60 = -30n

Step 5: Divide both sides by -30 to isolate 'n':

n = 60 / -30

Step 6: Simplify the right side:

n = -2

The solution to the equation is n = -2.

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Answer:

Swimmer's velocity = 1.4 m/s west (Approx)

Step-by-step explanation:

Given:

Total time taken = 35 seconds

Total displacement to west = 50 meter

Find:

Swimmer's velocity

Computation:

Swimmer's velocity = Total displacement to west / Total time taken

Swimmer's velocity = 50 / 35

Swimmer's velocity = 1.428

Swimmer's velocity = 1.4 m/s west (Approx)

Answer:

approximately 1.4 m/s west

yeeeeeeeeeeet

Answer:

7 pounds 3 ounces

Step-by-step explanation:

There are 16 ounces in a pound. In order to convert ounces to pounds, we need to see how many 16s fit into 115 (how many full pounds can be made with 115 ounces) and add the remainder as ounces. To do this we can do long division (which gives us 7 remainder 3), or we can divide 115 by 16 (=7.1875) and convert the decimal places to ounces by multiplying 0.1875 pounds (the remainder) by 16 (as there are 16 ounces in pound) which gives us 3 ounces.

So 115 ounces is equal to 7 pounds and 3 ounces.

Hope this helped!

The baby's weight is 7 pounds and 3 ounces.

To convert ounces to pounds, we need to divide the number of ounces by the conversion factor, which is 16. There are 16 ounces in 1 pound.

Let's denote the baby's weight in ounces as W oz, the weight in pounds as W lb, and the remaining ounces as Roz.

W oz = 115 ounces

W lb = ?

R oz = ?

First, we divide the total number of ounces by 16 to find the number of pounds:

W lb = W oz / 16

= 115/ 16

= 7.1875 pounds

So, the baby weighs 7 pounds.

To determine the remaining ounces, we multiply the decimal portion of the pounds (0.1875) by 16:

R oz = 0.1875 x 6

R oz= 3 ounce

So, the baby weighs an additional 3 ounces.

Therefore, the baby's weight is 7 pounds and 3 ounces.

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Given :

A mountain climber started his climb at 50 feet above see level .

He then raised 3 feet to rest in his cot to make his final 10 feet climb down.

To Find :

An expression to find his position relative to his final position.

Solution :

Let , final position is h .

h is given by :

[tex]h=\text{(Initial position)-(initial descended)+(height raised to rest)-(final descended)}\\\\h=50 -28 +3-10\ feet\\\\h=15\ feet[/tex]

So , his final position is 15 feet .

Hence , this is the required solution .

Greetings from Brasil...

Looking at the attachment we can use some properties:

(A/B) ÷ (C/D) = (A/B) · (D/C)

(M/N) · (P/Q) = (M/Q) · (P/N)

One solution:

...........................................................

another polynomial division

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Answer:

Step-by-step explanation:

1. Subtract 5x from both sides to put the equation in slope-intercept form:

  y = -5x +10

__

2. The y-intercept is the point corresponding to x=0. The y-value when x=0 is the constant in the equation: 10. Then the point is ...

  (x, y) = (0, 10)

You may notice this is one of the points listed in part 4, and is also used in question 3.

__

3. The x-value computed is 1; the y-value computed is 5. The point is ...

  (x, y) = (1, 5)

You may notice this is one of the points listed in part 4.

__

4. See attached

Answer:

1. y = -5x +10

2. (0, 10)

3. (1, 5)

4. see attached

Step-by-step explanation:

1. Subtract 5x from both sides to put the equation in slope-intercept form:

 y = -5x +10

__

2. The y-intercept is the point corresponding to x=0. The y-value when x=0 is the constant in the equation: 10. Then the point is ...

 (x, y) = (0, 10)

You may notice this is one of the points listed in part 4, and is also used in question 3.

__

3. The x-value computed is 1; the y-value computed is 5. The point is ...

 (x, y) = (1, 5)

You may notice this is one of the points listed in part 4.

__

4. See attached

Answer:

  2 1/3 cubic inches

Step-by-step explanation:

Perhaps you want to know the volume of the prism in cubic inches.

Find the total volume of the smaller cubes:

  63(1/3 in)^3 = 63/27 in^3 = 7/3 in^3 = 2 1/3 in^3

Answer:

1

Step-by-step explanation:

Simplify the following:

2/2

Hint: | Divide 2 by 2.

2/2 = (2×1)/2 = 1:

Answer: 1

Answer:

Ok, we have:

d(t) = 3*t^2 + 5*t - 2.

The first interval is:

(2, 3)

and remember that, for an interval (a,b), the difference quotient is:

D = (f(b) - f(a))/(b -a)

Then in this first interval we have:

[tex]d = \frac{d(3) - d(2)}{3-2} = \frac{3*3^2 + 5*3 - 2 - (3*2^2 + 5*2 - 2)}{1} = 20[/tex]

So the average rate of change in (2,3) is 20.

now, in (2, 2.5) we have:

[tex]d = \frac{d(2.5) - d(2)}{3-2} = \frac{3*2.5^2 + 5*2.5 - 2 - (3*2^2 + 5*2 - 2)}{1} = 9.25[/tex]

So here the rate of change is 9.25

And in the interval (2, 2.1) we have:

[tex]d = \frac{d(2.1) - d(2)}{3-2} = \frac{3*2.1^2 + 5*2.1 - 2 - (3*2^2 + 5*2 - 2)}{1} = 1.73[/tex]

So in this interval the rate of change is 1.73

Answer:

2 to 3 is 20

2 to 2.5 is 15

2 to 2.1 is 11

Step-by-step explanation:

I got this question right on EDGE 2023

Answer:

92, 95, 100, 120, 128

Step-by-step explanation:

92, 95, 100, 120, 128

Answer:

[tex]x = \frac{-7y}{3} +9[/tex]

Step-by-step explanation:

Note the equal sign, what you do to one side, you do to the other side. Do the opposite of PEMDAS. Isolate the variable, x.

PEMDAS is the order of operation, and =

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

~

First, subtract 7y from both sides:

3x + 7y (-7y) = 27 (-7y)

3x = -7y + 27

Next, divide 3 from all terms on both sides:

(3x)/3 =  (-7y + 27)/3

x = (-7y/3) + 9

[tex]x = \frac{-7y}{3} +9[/tex]

Answer:

1) -66

2)

Step-by-step explanation:

Given:

a=4

b=-5

c=-7

=a+2bc

=4+2*-5*7

=4+(-10*7)

=4-70

=-66

=3a

=3(4)

=12

Hope this helps ;) ❤❤❤

Answer:

-66, 12

Step-by-step explanation:

4+2 times-5 times -7 times

-70+4= 66

-2 is the slope if that's what's asked ?

Answer: D is the answer

Step-by-step explanation: Because a irrational number is a number that is non-reapting and non-terminating and it cannot be written as a ratio  or a fraction

Hope this helps...

Answer:

0.......................

Answer:

8.

Step-by-step explanation:

d/dx(8x)

= 8 * d/dx(x)

= 8 * 1

= 8.

Answer:

Restaurant Server: 10%

Florist: 10%

Cab Care: 0%

Dog Groomer: 5%

Step-by-step explanation

Also, in the question it says round to make a more resonable number for example in the chart for the resturant it says the cost is $40 dollars and the gratuity is 18% and the tax is 8.5% with this you round 18% to 20% and the tax 8.5% to 9% and round that to 10% and when you round the  tax to 10% that is your anwser. Then with all the other numbers on the chart do the same thing and there is all of your anwsers.

Restaurant Server: 8%

Florist: 12%

Cab Fare: 0%

Dog Groomer: 6%

Restaurant Server:

The cost is $40 and the gratuity is 18%.

To calculate the tax, you multiply the cost by the tax rate, which is 8.5% (or 0.085).

The tax amount would be $40 × 0.085 = $3.40. Rounding this to the nearest whole number would be $3.

Therefore, the tax estimate for the restaurant service would be 8%.

Florist:

The cost is $94 and the gratuity is 12%.

The tax rate for the florist service is 12% (or 0.12).

Calculating the tax amount would be $94 × 0.12 = $11.28. Rounding this to the nearest whole number would be $11.

Hence, the tax estimate for the florist service would be 12%.

Cab Fare:

The cost is $32, and the gratuity is 20%.

The tax for cab fares is mentioned as 0%, which means there is no tax applicable. In this case, rounding is not necessary as the tax amount is already 0%.

Dog Groomer:

The cost is $62, and the gratuity is 26%. The tax rate for the dog groomer service is 5.75% (or 0.0575).

Calculating the tax amount would be $62 × 0.0575 = $3.57.

Rounding this to the nearest whole number would be $4.

Thus, the tax estimate for the dog groomer service would be 6%.

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To what percent should the taxes for each service be

rounded in order to make reasonable estimates?

Service                cost             Gratuity           Tax

Restaurant         $40                  18%                 8.5%

Florist                 $94                  12%                 12%

Cab fare             $32                  20%                0%

Dog groomer      $62               26%                 5.75%

Restaurant Server:

Florist:

Cab Fare:

Dog Groomer:​

Answer:

You can determine whether each element of the domain is paired with exactly one element of the range. For example, if given a graph, you could use the vertical line test; if a vertical line intersects the graph more than once, then the relation that the graph represents is not a function

Step-by-step explanation:

-3(6 - 2x) > 4x + 12

-18 + 6x > 4x + 12

2x > 30

x > 15

The solution set is (15, ∞).

The interval that includes all possible values of x that satisfy the inequality is (15, infinity), which can be written as [15, oo) in interval notation.

The answer is (d) [15,00)

The intervals are numbers or values between two given point

The intervals are denoted as:

Closed intervals = [a, b]

This interval includes a and b.

Open intervals = (a, b)

This interval does not include a and b.

We have,

We can solve the inequality as follows:

-3(6 - 2x) > 4x + 12

Distribute the -3 on the left side:

-18 + 6x > 4x + 12

Subtract 4x from both sides:

2x > 30

Divide both sides by 2:

x > 15

Therefore,

The interval that includes all possible values of x that satisfy the inequality is (15, infinity), which can be written as [15, oo) in interval notation.

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Answer: 90

Step-by-step explanation:

We first need to find three consecutive numbers that adds up to 267. We know that the numbers will be somewhat close to 100 because the sum needs to be past 250.

Let's try 85,86,87.

85+86+87=258

258 is very close to 267. We know that we need to increase our numbers.

Let's try 88,89,90.

88+89+90=267

88,89, and 90 added together gives us 267. The question asks for the largest integer. In 88, 89, 90, 90 is the largest integer.

Answer:

(2x +5) + 3x = 90

5x + 5 = 90

5x = 85

x = 17

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A term is a single constant or variables that have non-zero coefficients.

Since there are 4 terms with non-zero coefficients in the following expression, there are 4 terms.

Hope this helps.

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Answer:

x=2

Step-by-step explanation:

-3x+12=-18

-3x=-18+12

-3x=-6

x=-6/-3

x=2

Answer:

x=10

Step-by-step explanation:

We are given the equation:

[tex]-3x+12= -18[/tex]

and asked to solve for x. Therefore, we must isolate x on one side of the equation.

12 is being added to -3x. The inverse of addition is subtraction. Subtract 12 from both sides of the equation.

[tex]-3x+12-12= -18 -12[/tex]

[tex]-3x= -18-12[/tex]

[tex]-3x=-30[/tex]

x is being multiplied by -3. The inverse of multiplication is division. Divide both sides of the equation by -3.

[tex]-3x/3=-30/-3[/tex]

[tex]x= -30/-3[/tex]

[tex]x=10[/tex]

Let's check our solution. Plug 10 in for x and solve.

[tex]-3x+12=-18[/tex]

[tex]-3(10)+12=-18[/tex]

Multiply -3 and 10.

[tex]-30+12=-18[/tex]

Add 12 to -30.

[tex]-18=-18[/tex]

This checks out, so we know our solution is correct.

The solution -3x+12=-18 is x=10.

Answer:

Step-by-step explanation:

To do this we need to first multiply by the number of feet in a mile to get:

311520 feet per hour

Then we divide by 3600 to get this into feet per second:

86.53333... feet per second

Now rounding this we get 87 feet per second.

Answer:

C, 38°

Step-by-step explanation:

ray UW is the angle bisector of ∠VUT

--> m∠VUW = m∠WUT = 1/2 m∠VUT

<=> 4x + 6 = 6x - 10

<=> 6 + 10 = 6x - 4x

<=> 2x = 16

<=> x = 8

So, the measure of m∠WUT is: 6x - 10 = 6 . 8 - 10 = 48 - 10 = 38°