one-half the total of six times a number n and thirty-eight?

Answer:

B. The value of C is 1

Step-by-step explanation:

Given:

[tex]\displaystyle \large{y=2x+C}\\\displaystyle \large{y^2=8x}[/tex]

To find:

A line being a tangent to curve means both equations are equal but there has to be only one interception between both graphs.

Therefore, substitute y = 2x+C in y² = 8x:

[tex]\displaystyle \large{(2x+C)^2 =8x}[/tex]

Expand the expression (2x+C)² using perfect square:

[tex]\displaystyle \large{4x^2+4xC+C^2=8x}[/tex]

Simplify the equation:

[tex]\displaystyle \large{4x^2+4xC-8x+C^2=0}\\\displaystyle \large{4x^2+(4C-8)x+C^2=0}[/tex]

The discriminant says:

For this, we choose b²-4ac = 0 since tangents only have one intersection.

[tex]\displaystyle \large{b^2-4ac = (4C-8)^2-4(4)C^2 = 0}\\\displaystyle \large{16C^2-64C+64-16C^2=0}\\\displaystyle \large{-64C+64=0}[/tex]

Solve the equation for C:

[tex]\displaystyle \large{-64C=-64}\\\displaystyle \large{C=1}[/tex]

Therefore, the value of C is 1

Hey there!

2/3 + 1/4

= 2×4/3×4 + 1×3/4×3

= 8/12 + 3/12

= 8 + 3/12 - 0

= 11/12

Therefore, your answer is: 11/12

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

[tex]\frac{11}{12}[/tex]

Step-by-step explanation:

[tex]\frac{2}{3} +\frac{1}{4}[/tex]
First, find the lowest common denominator (LCD):

3*4=12
Next, convert the fractions to a base of 12.
[tex]\frac{2}{3} * \frac{4}{4} = \frac{8}{12}[/tex]

[tex]\frac{1}{4} * \frac{3}{3} = \frac{3}{12}[/tex]
Then, add our fractions with the same base (12):

[tex]\frac{8}{12} + \frac{3}{12} = \frac{11}{12}[/tex]

Answer:

5 < x ≤ 9

Step-by-step explanation:

Answer:

78.5 or 79 inches when rounded.

Step-by-step explanation:

2 in wide so get half of 2 which is 1 times 3.14 = 3.14. then times that by the 25 inch radius = 78.5

the answer is B.  6 cubic in

Answer:

odd

Step-by-step explanation:

take example of 2^3 +3^3 it's odd

now others try yourself

Answer:

25

Step-by-step explanation:

We take both medians and subtract.

53-28=25

Answer:

Step number 3 is incorrecct

Step-by-step explanation:

It should be 16+12 because when you multiply (4)(3)(-1), which would equal -12, you need to sbutract -12 from 16, which is just adding 12 to 16 since two negatives make a positive.

Answer:

a is 39

b is 57

Step-by-step explanation:

you were given two different expressions to substitute.

the first one is p = 8 and d = 1/7

so we substitute into 5p - 7d

that is 5(8) - 7(1/7)

we get 40 - 1

which if we go ahead to evaluate we get 39

The second one p = 3 and d = -6

so we get 5(3) - 7(-6)

we get 15 - (-42)

if we go ahead to evaluate we get 15 + 42

two negative meeting each other gives you positive.

then it going too be 57

Answer:

tan(20) = 4 / x

tan(20)x = 4

x = 4 / tan(20)

x = 10.99 units

Step-by-step explanation:

Step-by-step explanation:

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Here we go ~

[tex]\qquad \tt \dashrightarrow \: {x}^{2} - 16x = 0[/tex]

[tex]\qquad \tt \dashrightarrow \: x(x - 16) = 0[/tex]

Now, there are two possibilities ~

[tex]\qquad \tt \dashrightarrow \:x = 0[/tex]

or

[tex]\qquad \tt \dashrightarrow \:x - 16 = 0[/tex]

[tex]\qquad \tt \dashrightarrow \:x = 16[/tex]

Answer:

56

Step-by-step explanation:

All You Need To Do Is Count intill You Reach That Point

Answer:

1,398

Step-by-step explanation:

i think this is it cause this is very close. Have a nice day.

Answer:

Minimum = 1
Maximum = 16
Median = 8
First Quartile = 3
Third Quartile = 15
Inter Quartiler Range = 12

Step-by-step explanation:

Looking at the image you provided and the points are given.

Answer:

it's got to be 3........

Answer:

No.

Step-by-step explanation:

A arithmetic sequence is a sequence of numbers that go up by the same value each time. We can clearly see that this set of numbers does not go up by the same value each time, therefore ruling it out as an arithmetic sequence. This sequence is a geometric sequence in case you're wondering.

Answer:

answer = 3(a +b)

Step-by-step explanation:

[tex] log(2) = a \: log(3) = b \: \: \\ log(216) = log(2 \times 2 \times 2 \times 3 \times 3 \times 3) \\ = log( {2}^{3} \times {3}^{3} ) \\ = log(2^{3} ) + log( {3}^{3} ) \\ = 3 log(2) + 3 log(3) \\ = 3(a) + 3(b) \\ = 3(a + b) \\ \\ log(216) = 3(a + b)[/tex]

The square root of 25 is 5. It is the positive solution of the equation x2 = 25. The number 25 is a perfect square.

...

Square Root of 25 in radical form: √25.

Answer:

1/10

3

Step-by-step explanation:

probability of getting a 7 = 1 in 10 =1/10

if the total frequency of spins N= 30

then the expected number of occurrences =N×p=30×(1/10)=3

Answer: a) 1/10

b) 3

Step-by-step explanation:

a) 7 is one number on the spinner meaning that out of 10 possibilities 7 is only one of them which give you 1/10.

b) If she spins it 30 more times this would give you the fraction of 3/30 since it relates to the first fraction.

Answer:

15 inches

Step-by-step explanation:

The space diagonal of a rectangular prism is the root of the sum of the squares of the edge lengths. The longest straight part that will fit in the box will be at most ...

l = √(4² +4² +14²) = √228 ≈ 15.10 . . . . inches

If im wrong just tell me im sorry if it is

Ally~

Answer:

The side is approx 2.78cm

Step-by-step explanation:

There is an area formula for regular polygons that uses the apothem:

A = 1/2•a•s•n

a is the apothem.

s is the side length.

n is the number of sides.

The area, A is given and also the apothem is given, as well as the number of sides.

The shape in your problem is a hexagon, so it has 6 sides.

A = 1/2 asn

20 = 1/2(2.4)s(6)

Multiply.

20 = 7.2s

Divide.

20/7.2 = s

2.78 = s

s = 2.78

By taking a subtraction, we will see that the change that Kate receives is $1.08

The change will be given by the difference between what Kate has, and the cost of all the items she buys.

She has $20.00, and the costs are: $6.99, $3.98, and $7.95.

Then the change will be:

C = $20.00 - $6.99 -  $3.98 - $7.95 = $1.08

We conclude that the change is $1.08

If you want to learn more about subtractions, you can read:

https://brainly.com/question/2475734

[tex]~~~~~7e^{xy} +2x^2 -4y^2 =13\\\\\\\implies \dfrac{d}{dx}\left(7e^{xy} +2x^2 -4y^2\right) =\dfrac d{dx} (13)\\\\\\\implies 7\left[e^{xy} \dfrac{d}{dx} ( xy)\right] +2 \cdot 2x -4\cdot 2y \dfrac{dy}{dx} = 0\\\\\\\implies 7e^{xy} \left( x \dfrac{dy}{dx} +y\right) +4x -8y \dfrac{dy}{dx} =0\\\\\\\implies 7xe^{xy}\dfrac{dy}{dx} + 7ye^{xy} +4x -8y\dfrac{dy}{dx} = 0\\\\\\\implies \left(7xe^{xy} -8y \right) \dfrac{dy}{dx}=-7ye^{xy} -4x\\\\\\[/tex]

[tex]\implies \dfrac{dy}{dx} = \dfrac{-7ye^{xy} -4x}{7xe^{xy} -8y }[/tex]

Answer:

60%

Step-by-step explanation:

If you look through the data, it is clear that 46, 59, 63, 68, 72, 76, 78, 85, and 89 are all less than 90. There are 9 elements total that are less than 90.

For percentages, you take the number you have and divide by the total. Since we know that there are 15 students, we can do 9 / 15. This gives us 0.6 which is 60%

Anna has traveled 20 miles in the taxi.

An equation is a relationship between the variables and constants representing how they are related to each other. It includes equal to "=" sign.

The total amount paid is $48. So, the right side of the equation will be 48.

The cost of 1 mile is $2.25 so, the cost of x miles will be 2.25x.

Determine the total cost in terms of x.

Total cost = Fixed Cost+ Variable cost

= 3+2.25x

Determine the equation and solve it.

3+2.25x=48

2.25x=45

x=20

Thus, the taxi has traveled 20 miles.

To learn more about equations click:

https://brainly.com/question/649785

#SPJ2

Answer:

-32 < 15

Step-by-step explanation:

Whenever in the negatives, it's always less than zero. Because 15 is positive, it would be greater than -32.

Answer:

-2x^2 -2x + 4

Step-by-step explanation:

Distributive prop.

(-2x-4)(x-1)

-2x^2 + 2x - 4x + 4

-2x^2 -2x + 4

Answer:

The work is straight forward once you know the formular