John drove 15 miles on 1/2 gallon gas. How many miles did John drive per gallon of gas? *

Answers

Answer 1

Answer:

If half a gallon is 15 then just multiply 15 with 2.

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6 = 3ywhat does y=?

13. The third term in an arithmetic sequence is 10 and the fifth term is 26. If the first term is , which is an equation for the nth term of this sequence?

Answers

n=3:
A) an = 8*3+10 = 34
B) an = 8*3 - 14 = 10 OK
C) an = 16*3+10 = 58
D) an = 16*3 - 38 = 10 OK

n=5:
B) an = 8*5-14 = 26 OK
D) an = 16*5 - 38 = 42

So the answer is B

State a true conclusion.1) If a triangle has a right angle, then the triangle is a right triangle.
2) Triangle ABC is not a right triangle.

Conclusion:

Answers

Answer:

The conclusion is that the triangle ABC doesn't have any right angles because all angles are less than 90°

Final answer:

Given the statements that 'if a triangle has a right angle, then it's a right triangle' and that 'Triangle ABC is not a right triangle', we can conclude that 'Triangle ABC does not have a right angle'.

Explanation:

The given statements are:

If a triangle has a right angle, then the triangle is a right triangle.
Triangle ABC is not a right triangle.

From these statements, the true conclusion that can be drawn is: Triangle ABC does not have a right angle.

This conclusion is derived from the logical sequence of the given statements. In simple terms, statement 1 tells us that having a right angle defines a right triangle. Then, in statement 2, we are told that Triangle ABC is not a right triangle, which, based on statement 1, allows us to conclude that Triangle ABC does not have a right angle.

Learn more about logical conclusion here:

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As a member of a music club, you can order CDs for $14.99 each. The music club also charges $4.99 for each shipment. The expression 14.99n + 4.99 represents the cost of n CDs. Find the total cost for ordering 3 CDs.

Answers

howdy!

using the expression 14.99(n) + 4.99, the total of 3 CDs would cost $49.96.

in the expression 14.99n +499... replace the N with 3... 14.99(3)+ 4.99= 49.96

Write a quadratic function in standard form containing the point (6,5) and x-intercepts 5 and 11.

Answers

Answer:

$\sf y = -x^2 + 16x - 55$

Step-by-step explanation:

In order to write a quadratic function in standard form, we can use the factored form of a quadratic equation and then expand it.

The factored form of a quadratic equation is:

$\sf y = a(x - r_1)(x - r_2)$

Where:

(r1, 0) and (r2, 0) are the x-intercepts.
(6, 5) is a point on the quadratic function.

Given that the x-intercepts are 5 and 11, we can write:

y = a(x - 5)(x - 11)

Now, we'll use the point (6, 5) to find the value of 'a':

5 = a(6 - 5)(6 - 11)

5 = a(1)(-5)

5 = -5a

Now, solve for 'a' by dividing both sides by -5:

$\sf a =(-5)/(5)$

a = -1

Now that we have the value of 'a', you can write the quadratic function in standard form:

y = -1(x - 5)(x - 11)

Now, expand and simplify the expression:

$\sf y = -1(x^2 - 16x + 55)$

$\sf y = -x^2 + 16x - 55$

So, the quadratic function in standard form containing the point (6, 5) and x-intercepts 5 and 11 is:

$\sf y = -x^2 + 16x - 55$

$\bold{ANSWER:}$
f(x) = -x^2 + 16x - 55.

$\bold{SOLUTION:}$

• To write a quadratic function in standard form, we can use the factored form of a quadratic equation:

f(x) = a(x - r1)(x − r2),

• where r1 and r2 are the x-intercepts. We are given that the x-intercepts are 5 and 11, so we can substitute these values into the equation:

f(x) = a(x-5)(x - 11).

• Now, we need to find the value of 'a' and substitute the coordinates of the given point (6, 5) to solve for 'a'.

• Substituting the point (6, 5) into the equation, we get:

5a(65) (6 - 11).

• Simplifying further:

5 = a(1)(-5).

5 = -5a

• Dividing both sides by -5

a = -1

• Now that we have found the value of 'a', we can substitute it back into the equation:
f(x)=-1(x-5)(x - 11).

• Expanding the equation:

f(x) = -1(x^2 - 11x - 5x + 55).

• Simplifying:

f(x) = -x^2 + 16x - 55.

Therefore,

The quadratic function in standard form that contains the point (6, 5) and x-intercepts 5 and 11 is:

f(x) = -x^2 + 16x - 55.

What is the coefficient of x in the division (18x^3 + 12x^2 – 3x) / 6x^2?A) 3
B) 2
C) -0.5
D) -3

Answers

If you would like to know the coefficient of x, you can calculate this using the following steps:

(18x^3 + 12x^2 – 3x) / (6x^2) = (6x^2 + 4x - 1) / (2x) = 3x + 2 -1/(2x)

The correct result would be A) 3.

How would I solve this and where would I put the dots?

Answers

Step-by-step explanation:

You would solve it by turning it into a equation and solving it. You would place the dots on the graph and put them in the points where they are supposed to go.

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