Solve this problem for x:
2^2x -2^x -2=0

Answer:

x-3

Step-by-step explanation:

x²-6x+9 is equal to (x-3)²

The square root of any term that is positive is equal to the absolute value of the term. If x is greater or equal to 3, it makes the term positive.

So the root of x²-6x+9 is x-3  

Answer:

y + 6 = 5/2(x + 2)

Step-by-step explanation:

The equation of the line passing through given points in point-slope form is y + 6 = (5/2)(x + 2). The correct answer is an option (C).

The slope of a line is defined as the gradient of the line. It is denoted by m

Slope m = (y₂ - y₁)/(x₂ -x₁ )

Consider two points on a line—Point 1 and Point 2. Point 1 has coordinates (x₁,y₁) and Point 2 has coordinates (x₂, y₂)

Using the given points (-2, -6) and (6, 14), we can calculate the slope as:

slope = (14 - (-6)) / (6 - (-2))

= 20 / 8

= 5/2

Now, we can use the point-slope form of a line:

y - y₁= m(x - x₁)

where m is the slope and (x₁, y₁) is the point on the line. We can choose either of the given points to be the point on the line. Let's choose (-2, -6).

So, the equation of the line in point-slope form is:

y - (-6) = (5/2)(x - (-2))

Simplifying this equation gives us:

y + 6 = (5/2)(x + 2)

Therefore, the equation of the line passing through given points in point-slope form is:

y + 6 = (5/2)(x + 2)

Learn more about the Slope of the Line here:

brainly.com/question/14511992

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Answer:

1) 2 months

Step-by-step explanation:

y = 950x + 600

y = 1100x + 300

950x + 600 = 1100x + 300

-950x -950x

____________________ subtract slope from both sides

600 = 150x + 300 ( doesn't matter which one)

-300 - 300

____________________ subtract

300 = 150x

_________ Divide each # with the slope

150 = 150

2 = x

____________Answer 2_____________

Answer:

The Resort Complex would save you 300.

step-by-step solution:

you have to do is plug in the number of months.

then multiply

then subtract both Complexes

and compare

The Resort Complex. : y = 950(6) + 600 - 6300

The uptown suite duplex : y = 1100(6) + 300 - 6900

HOPE THIS HELPS!

Answer:

Integers and polynomials are both closed under addition, subtraction, and multiplication; however, operations on polynomials can sometimes be open while operations on integers produce irrational results .

Step-by-step explanation:

Closed means that addition, subtraction, and multiplication of integers gives as result a new integer; and addition, subtraction, and multiplication of polynomials gives as result a new polynomial.

Operations on polynomials can sometimes be open, like in division.

Operations on integers can produce irrational results , for example, dividing 11 by 9.

Answer:

1. C

2. A

Step-by-step explanation:

Hope these are right!

Answer:

Question 16's answer is choice B. divide both sides by 6

Step-by-step explanation:

6a=27

You need to get the variable by it's self so you need to divide both sides by 6 because the 'a' is being multiplied by 6 on the left side.

Answer:

Question 25's answer choice is B. 5

Step-by-step explanation:

1 3/4 + 5/6 =

7/4 + 5/6 =

21/12 + 10/12 = 31/12 = 2 7/12 = round to nearest whole number 3 so about three pizzas were eaten! so subtract 3 from 8 to get 5 pizzas left! :)

Good luck! Have a great day! Hope this helps!

(SHORT ANSWER IS BOTH QUESTIONS ARE B) LOL! ;)

b. c=4s

you multiply x times 4 to get y

Answer:

A

Step-by-step explanation:

So first you would distribute the 2

y - 8 = 2x + 6

Then you add 8 to both sides

y = 2x + 14

So your answer is A

Answer:

C) 0 ≤ x ≤ 25

Step-by-step explanation:

We are supposed to find a reasonable constraint so that the function is at least 300 i.e. the value of x at which f(x) is greater or equal to 300

A)x ≥ 0

Refer the graph

At x = 0

f(x)=300

On increasing the value of x , f(x) increases but at x = 12 it starts decreasing

So, x ≥ 0 can also have f(x)<300

So, Option A is wrong

B)−5 ≤ x ≤ 30

At x = -5

f(x) = 100

So, Option B is wrong since we require f(x) is greater or equal to 300

c)0 ≤ x ≤ 25

At x = 0

f(x)=300

At x = 12 , it starts decreasing

At x = 25

f(x)=300

So, The value of f(x) is at least 300 when 0 ≤ x ≤ 25

D)All real numbers

At x = 30

f(x)=0

But we require f(x) greater or equal to 300

Hence Option C is true

Answer:

C) 0 ≤ x ≤ 25

Its correct! Hope this helps :)

Answer:

last one

Step-by-step explanation:

Answer: The first graph

Step-by-step explanation:

Step-by-step explanation:

[tex]A) \\ (8 \times {10}^{ - 3} ) \times (2 \times {10}^{ - 4} ) \\ = 8 \times 2 \times {10}^{ - 3} \times {10}^{ - 4} \\ = 16 \times {10}^{ - 3 - 4} \\ = 16 \times {10}^{ - 7} \\ = 1.6 \times {10}^{ - 6} \\ \\ B) \\ (6 \times {10}^{ 2} ) \div (3\times {10}^{ - 5} ) \\ \\ = \frac{6 \times {10}^{ 2}}{3\times {10}^{ - 5}} \\ \\ = \frac{2\times {10}^{ 2}}{ {10}^{ - 5}} \\ \\ = 2 \times {10}^{ 2 + 5} \\ \\ = 2 \times {10}^{7} \\ [/tex]

Answer:

[tex]\mathrm{F}[/tex]

Step-by-step explanation:

[tex]y+8=4(x-5)[/tex]

[tex]x=5\\y=-8[/tex]

[tex](-8)+8=4((5)-5)[/tex]

[tex](-8)+8=4(0)[/tex]

[tex]0=0[/tex]

Answer:

1 hour

Step-by-step explanation:

mph means miles per hour so in 1 mile it would be 1 hour

Answer:

The answers are :

The first number : 6

The second number : 2

The third number : 2

Step-by-step explanation:

The value of the variable x, y, and z will be 6, 2, and 2.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

Let the numbers be x, y, and z.

The sum of three numbers is 10.

x + y + z = 10   …1

The first number minus the second plus the third is 6.

x – y + z = 6   …2

The first minus the third is 2 more than the second.

x – y = z + 2   …3

Add equation 1 and 3, we have

x + x + z = 10 + z + 2

         2x = 12

           x = 6

Subtract equation 2 from 1, we have

2y = 4

  y = 2

Then the value of z will be

6 + 2 + z = 10

            z = 2

More about the linear system link is given below.

https://brainly.com/question/20379472

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Answer:

0.84

Step-by-step explanation:

1 - 0.4(0.4) = 1 - 0.16 = 0.84

Simply take the probability of the the outcome that is not " at least 1 win", which is the probability of 2 losses;

To find the probability multiply the probabilities along the branches.

Answer:

The answer might be 0.84. I hope this helps please tell me if its right or wrong.

Step-by-step explanation:

Answer:

Both are correct.

Step-by-step explanation:

A square is a rhombus because it has 4 equal sides but it also has two pairs of parallel side which therefore makes it a parallelogram as well.

Answer:

Number of  Real Solutions = 1

Number of  Extraneous Solutions = 1

Real Solutions = (x = 3)

Answer:

$1.50

Step-by-step explanation:

29 part c

3÷2= 1.50

3 is the cost

and 2 is the cups

for 3 drinks it would cost $1.50

Answer:

first itself we should do the answer                         and only we can answer it

Step-by-step explanation:

Answer:

64 times bigger

Step-by-step explanation:

I will use random values for this explanation to make it more understandable.

Lets say the length of the box is 1 inch, width is 1 inch, and height is 1 inch.

The volume would be l*w*h = 1*1*1 = 1 cubic inch

If the dimensions were 4 times bigger, the length, width and height would all be 4 inches.

4*4*4 = 64 cubic inches, which is 64 times bigger than the smaller box with a volume of 1 cubic inch.

Hope this answer helped! :)

Step-by-step explanation:

Answer:

Mini golf: $10.00, batting cage: $2.50

Step-by-step explanation:

We have that 5 mini golf + 4 batting = 60, and 3 mini golf + 6 batting = 45.

Let m=mini golf price, and b=batting cage price.

Then 5m+4b=60 and 3m+6b=45.

We can multiply the first equation by 3 and second by 5 to get

15m+12b=180

15m+30b=225

Subtract the two to get -18b=-45, so b=45/18=$2.50

Then m=$10 if you substitute b back in the first equation.

Hope that helped,

-sirswagger21

Answer:

mini golf10:00 batting cage 2:50

Step-by-step explanation:

Answer:

let’s find the area of the circle first.

The formula to find the area of the circle is 3.14 x r^2

3.14 x 0.5^2 = 0.785 cm^2

Lets find the area of the triangle.

the formula to find the area of the triangle is 1/2 x base x height

The height is found if you subtract the square of 5 from the square of 4.

5^2 - 4^2 = 9

the square root of 9 is 3.

1/2 x 8 x 3 = 12 cm^2

lets find the area of the rectangle

length x width

8 x 4.5 = 36 cm^2

then subtract the area of the circle from the area of the rectangle and then add the area of the triangle

36 - 0.785 + 12 = 47.215 (round it off to 47)

Answer:

logarithmic function passing through point 1, -2.

Step-by-step explanation:

f(x) = log10(x) - 2

Option: logarithmic function passing through point 3, 0 is incorrect because:

f(3) = log10(3) - 2 ≈ -1.5

Option: logarithmic function passing through point -1, 0 is incorrect because log10 is not defined for x < 0

Option: logarithmic function passing through point 1, 2 is incorrect because:

f(1) = log10(1) - 2 = -2

which means that option: logarithmic function passing through point 1, -2 is correct.

Answer:

Both are equal in volume

Answer:

26.67m/s²

Step-by-step explanation:

From the question we are given

Final velocity = 30m/s = v

Initial velocity = 10m/s = u

We were not given time but we were given distance = 15m

Therefore we would be using the formula:

Acceleration = v² - u²/ 2s

Where S = distance

v = final velocity

u = initial velocity

Acceleration (a) = 30² - 10²/ 2 × 15

a = 900 - 100/ 30

a = 200/30

a = 26.666666667m/s²

a = 26.67m/s²

Answer:

C

Step-by-step explanation:

If you multiply by 100 u get C

Answer:

C

Step-by-step explanation:

To turn a number into a percentage, you must multiple it by 100.

Answer:

d

Step-by-step explanation:

isolate y and evaluate

Answer:

B

Step-by-step explanation:

move the y to the other side and the three to its opposite side

Answer: I hope it helps

Step-by-step explanation:

[tex]y \alpha x\\y= kx (1)\\Make=k-subject-of-the-formula\\\frac{y}{x} =\frac{kx}{x} \\\\\\[/tex]

[tex]k = \frac{y}{x}. \\when-y =3, x= 7 \\k = \frac{3}{7} \\Put - k- = 3/7 -in eq - 1\\y = 3/7x = F \\[/tex]

[tex](4n+3n^2+2)-(n-6n^2+1)\\4n +3n^2+2-n+6n^2-1\\\\3n^2+6n^2+4n-n+2-1\\9n^2+3n+1[/tex]

y = 2x-4

when x= 0

y = 2(0)-4

y =-4

y = 2x - 4

when x = 1

y = 2(1) -4

y = 2-4

y = 2

and so on....

A - Negative - the more slices eaten , the fewer there are

[tex]f(x)= 2x^2 +x-12\\f(3) = 2(3)^2+3-12\\f(3) = 2*9+3-12\\f(3) = 18+3-12\\f (3) = 9[/tex]

Answer: 3.675 cm

Step-by-step explanation:

June was 35% more compared to May

35% of 10.5 cm = 3.675 cm in May