Find the value of x so that the function has the given value.

k(x)=6x−1/2; k(x)=18

Answer:

[tex]\dfrac{x}{4} \le 35[/tex]

Step-by-step explanation:

There are 4 people splitting the gas cost equally.

Each person will pay at most $35, so the gas cost to each person can be less than $35 or equal to $35.

The total gas cost is x. The gas cost for each person is 1/4 of the total, so it is x/4.

Answer:

[tex]\dfrac{x}{4} \le 35[/tex]

Answer:

14/9

Step-by-step explanation:

Yea that is the answer...

The distance traveled after 4 hours is 260 miles.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 4 - 9 = 9  is an equation.

We have,

Distance ∝ Time

Distance = K x Time

Now,

390 = 6K

K = 390/6

K = 65

Now,

Distance = 65 x 4

Distance = 260 miles

Thus,

After 4 hours the distance traveled is 260 miles.

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Answer:

(1,-1)

Step-by-step explanation:

the coordinates of the image of point F after a reflection across the x-axis is (1,-1).

In mathematics, a reflection (also spelled reflexion) is a mapping from a Euclidean space to itself that is an isometry with a hyper plane as a set of fixed.

Here, given that,

Triangle EFG has vertices E(-3,1), F(1,1), and G (4,5).

We have to find the coordinates of the image of point F after a reflection across the x-axis.

Now, we know that,

The rule for reflecting over the X axis is to negate the value of the y-coordinate of each point, but leave the x-value the same.

Hence, the coordinates of the image of point F after a reflection across the x-axis is (1,-1).

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Answer:

9.15x10^6

Step-by-step explanation:

Step-by-step explanation:

9, 150, 000 = 9.15*10^6

Answer:

r= 8.3

r=2.17

n=10

Step-by-step explanation:

Answer:

97.73

Step-by-step explanation:

Answer:

97.73

Step-by-step explanation:

Answer:

324 and 144

Step-by-step explanation:

We require

a₁, a₂, a₃, a₄

where a₂ and a₃ are the required geometric means

The n th term of a geometric sequence is

[tex]a_{n}[/tex] = a₁[tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here a₁ = 729 and a₄ = 64, thus

729(r³) = 64 ( divide both sides by 729 )

r³ = [tex]\frac{64}{729}[/tex] ( take the cube root of both sides )

r = [tex]\sqrt[3]{\frac{64}{729} }[/tex] = [tex]\frac{4}{9}[/tex] , then

a₂ = 729 × [tex]\frac{4}{9}[/tex] = 81 × 4 = 324

a₃ = 324 × [tex]\frac{4}{9}[/tex] = 36 × 4 = 144

Thus

729, 324, 144, 64

Answer:

I think should add up to 360° because supplementary angles add up to 180°and in this case we have 2 angles

Answer:

180 degrees

Step-by-step explanation:

If two angles are supplementary when their measures add up to be 180

I attached an example of supplementary angles as well you can check

Answer:

105 free throws made if Asia shoots 150

Step-by-step explanation:

Find the percentage form of 14 out of 20

14 / 20 = 0.7 (70%)

Then calculate 70% of 150:

0.7 multiplied by 150 = 105

(Can check by doing 105 / 150 = 0.7)

Asia will make 1058 free throws out of a total of 150 shoots.

The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.

The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 2%=2/100=0.02.

The percentage is just like the amount of that value but between 1 to 100 and it is very useful to predict for example if you say 678 then we have to know about the full number also but if you say 80% then it becomes clear.

Given that,

Asia makes 14 out of 20 free throws

Percentage free throws = free throws/total  × 100

Percentage free throws = 14/20 × 100

Percentage of free throws = 70%

Now,

If Asia throws 150 then with the same proportion she will again make 70% of her throw free.

So,

70% of 150 = 150 × 70/100 = 105

Hence "Asia will make 1058 free throws out of a total of 150 shoots".

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Answer:

2

Step-by-step explanation:

The pattern is +3 each time so -1 + 3 = 2

-10, -7 ,-4 , -1 ,2

Answer:

-19

4

-9

1

-5

the last person got the last one wrong

A function assigns the value of each element of one set to the other specific element of another set. The value of f(8) is 5.

A function assigns the value of each element of one set to the other specific element of another set.

The function that is given is mentioned below. Now, the value of the function can be found as shown below.

A.) f(-10)=?

When the value x is -10, it will lie in the first category of the function, therefore, the function for this value of x will be,

[tex]f(x) = 2x+1\\\\f(-10) = 2(-10)+1\\\\f(-10) = -20+1 = -19[/tex]

B.) f(2) = ?

When the value x is 2, it will lie in the second category of the function, therefore, the function for this value of x will be,

[tex]f(x) = x^2\\\\f(2) = 2^2 = 4[/tex]

C.) f(-5)=?

When the value x is -5, it will lie in the first category of the function, therefore, the function for this value of x will be,

[tex]f(x) = 2x+1\\\\f(-5) = 2(-5)+1\\\\f(-5) = -10+1 = -9[/tex]

D.) f(-1)=?

When the value x is -1, it will lie in the second category of the function, therefore, the function for this value of x will be,

[tex]f(x) = x^2\\\\f(-1) = (-1)^2 = 1[/tex]

E.) f(8)=?

When the value x is 8, it will lie in the third category of the function, therefore, the function for this value of x will be,

[tex]f(x) = x-3\\\\f(8) = 8-3 = 5[/tex]

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Answer:

:) :) :) :) :) :) :) :)

Step-by-step explanation:

-6/-3

Answer:

(14,-16)

Step-by-step explanation:

Answer:

50 students were in each bus.

Step-by-step explanation:

We first subtract the 4 students in cars from the total, then divide the remaining students, (450) into the 9 busses. 450 / 9 = 50. There are 50 in each bus.

Answer:

The data we have is:

Library A charges $96 per year.

Library B charges $3 per book he borrows.

Let's find the number of books X that he needs to borrow in order to spend the same amount in each library:

$3*X = $96

X = 96/3 = 32.

This means that if Aaden borrows 32 books per year, is the same for him if he chooses library A or B.

If he borrows more than 32 books per year, library A will be cheaper. (if he borrows 33 books, library B costs 33*$3 = $99, which is larger than the $96 of library A)

If he borrows less than 32 books per year, library B will be cheaper. (if he borrows 31 books library B costs $3*31 = $93, which is cheaper than the$96 of library A)

Step-by-step explanation:

Answer:

A number of books and their cost that is not possible with either subscription

Step-by-step explanation:

Point S is neither on line aaa nor line b, so it represents a number of books and a cost that is different from the combinations possible with either subscription.

* I give all of my credit to khan academy

Answer:

-7

Step-by-step explanation:

First, distribute. 30 = 14 - 12 - 4x

Then, simplify and get the regular numbers one the left side.

30 = 2 - 4x                             28 = -4x

Finally, divide both sides by -4 to get x by itself.

-7 = x

Answer:

the charges from Netflix are less than Plex cause there's a 50 dollar gap for the member ship and for the DVD there's only a 3 dollar gap

Step-by-step explanation:

Answer:

bdhdbhdjndjxbdixn,jzhhdhuu,ubxhsjxjnx

Answer:

y= -7x+2

Step-by-step explanation:

Answer:

y = -7x + 2

Step-by-step explanation:

The y-intercept is 2. The slope is x which is -7.

Write the equation now.

-7x + 2.

~I hope I helped you! :)~

Problem 1

Answers:

Real = sqrt(49), 5/6, 12.5, 8/12, 225, sqrt(24)/16, sqrt(32)

Not real = sqrt(-20)  and  sqrt(-16)/9

---------------

Explanation:

Anything involving a square root of a negative number will result in a non-real answer. Anything else is real.

Traditionally y = sqrt(x) has a domain of nonnegative numbers. If x >= 0, then y is some real number. If x < 0, then we'll need to use the imaginary number i = sqrt(-1).

==========================================

Problem 2

Answers:  

Rational = sqrt(49), 5/8, 12.5, 8/12, and 225

Irrational = sqrt(24)/16, sqrt(32)

---------------

Explanation:

Ignore the non-real numbers. Focus solely on the real values.

A rational number is where we can write it as a ratio of two integers. An example is 5/8 since 5 and 8 are integers. The denominator can never be zero.

Decimal values that terminate can be written as a fraction. For instance, 12.5 = 125/10.

Square roots of perfect squares are also rational. For example sqrt(49) = 7 = 7/1

Something like sqrt(32) is not rational because we can't write it in the form p/q with p,q being integers. We say it is irrational.

==========================================

Problem 3

Answers:

Perfect Squares = 225

Non-perfect squares = everything else

---------------

Explanation:

A perfect square is of the form x^2, where x is a positive integer.

The only perfect square listed is 225 because 225 = 15^2. Here x = 15.

Note: a perfect square is an integer itself.

==========================================

Problem 4

As discussed earlier, rational numbers are fractions of integers. So we have something of the form p/q where p,q are integers and q is nonzero. An example of a rational number is p/q = 7/8 with p = 7 and q = 8.

Irrational numbers are ones that cannot be written as p/q. A famous example of an irrational number is pi = 3.14, but we could do something like sqrt(17) for instance as well. The stuff under the square root must be a non-perfect square.

Perfect squares are integers in the form x^2, with x being an integer also. A visual way to think of perfect squares is to think of a square with side length x, so its area is x^2. If x = 9, then its area is x^2 = 9^2 = 81, so 81 is a perfect square. We only consider whole number side lengths.

Answer:

[tex]g(t)=8.25t+1250[/tex]

Step-by-step explanation:

You can input any value for t, and that would give you the amount of water pumped in. Then, the +1250 represents the initial 1250 gallons that are in the pool.

Answer:

1.41421356

Step-by-step explanation:

I think

Answer:

Well first what times itself equals 5 if you have a calculator Find the square root symbol and put 5 inside it

Answer:

y = 6x + 9

Step-by-step explanation:

Because the gradient is the same in parallel lines and the y intercept is different.

Answer:90 dollar’s

Step-by-step explanation:7.5x1.5=11.25x8=90