Mary is analyzing a quadratic function f(x) and a linear function g(x). Will they intersect?


Please answer!!

9514 1404 393

Explanation:

From your knowledge of the world, you know that ...

The problem statement asks for the cost of a single text message. For the purpose of finding that value, it is convenient to represent it using the variable t. The problem statement says Eric was billed for 450 text messages, so we expect his usage-related fee to be 450t, the sum of the costs of 450 messages--using multiplication for the repeated sum.

The problem statement says Eric was billed 12.50 for fixed fees. So, we expect Eric's total bill to be ...

  fixed fees + usage-related fees = 12.50 + 450t

The problem statement says Eric's total bill was 35.00, so we assume that is the sum of the above-listed fees. That is, the two ways to express Eric's total bill are equal.

  12.50 +450t = 35.00

Answer:

The cost of 15 liters is $31.50

Step-by-step explanation:

1. Find the price for 1 liter of petrol.

Divide the cost by the number of liters:

$14.70 / 7 = $2.10 per liter.

2. Multiply the price for 1 liter by the new number of liters, 15.

$2.10 per liter x 15 liters = $31.50

Given:

Principal = $1290

Rate of simple interest = 4%

Time = 9 months

To find:

The interest and total saving in the account altogether.

Solution:

The formula for simple interest is

[tex]I=\dfrac{P\times r\times t}{100}[/tex]      ...(i)

where, P is principal, r is rate of interest and t is time in years.

We know that,

[tex]12\ months=1\ year[/tex]

[tex]1\ month=\dfrac{1}{12}\ year[/tex]

[tex]9\ months=\dfrac{9}{12}\ year[/tex]

[tex]9\ months=0.75\ year[/tex]

Putting P=1290, r=4 and t=0.75 in (i), we get

[tex]I=\dfrac{1290\times 4\times 0.75}{100}[/tex]

[tex]I=\dfrac{3870}{100}[/tex]

[tex]I=38.70[/tex]

So, the simple interest is $38.70.

Total savings is

[tex]1290+38.70=1328.70[/tex]

Therefore, the total amount in the account altogether is $1328.70.

1225 - 315 + 910

910 + 945 = 1855

hope this helped, have a nice day <3

Step-by-step explanation:

As x approaches negative infinity, h(x) approaches positive infinity / negative infinity, which is an indeterminate form.

Therefore we use L'Hospital's Rule:

Derivative = 30x⁵ / 7x⁶ = 30 / (7x)

As x approaches negative infinity, 30 / (7x) approaches 0, and it comes from below because it is a rational graph with positive coefficient.

Hence the anewer is C.

Answer:

This answer is B.

Step-by-step explanation:

First we need to figure it out on our own, then plug into the inequalities to see which one works.

11x+6≤50

subtract 6 from both sides

11x≤44

divide from 11 on both sides

x≤4 so she can buy 4 party favors or less.

A: it cannot be A since it says the party favors are greater than 4

B: This is the correct answer.

C: 6 is not an answer

D: 6 is not an answer

Answer:

da answer is BBBB

Step-by-step explanation:

Hi there.

The answer is B choice.

Explanation:

A function is a set of relation with no repetitive domains.

Here is an example of being a function and relation.

~ Function ~

Given the relation r = {(1,1),(2,4),(3,9),(4,16)}

As you see, there are no repetitive domains. Thus this relation is a function.

~ Relation ~

Given r = {(1,1),(1,2),(2,6),(3,28)}

As you see, there are the repetitive domains in this relation. And that is x = 1. Therefore, this relation is not a function but only a relation.

Answer:

True, all angles must add up to 180 degrees

Step-by-step explanation:

Answer:

90°

Step-by-step explanation:

Since AB is the diameter of the circle with center O and C is any point on the circle.

So, ACB is a semicircular arc.

Angle inscribed in a semicircle is right angle.

[tex]\therefore \measuredangle C =90\degree [/tex]

Step-by-step explanation:

g. (1/4 + 1/2) = 3/4

3/4 ÷ 3/2 = 1/2

h. (1/5 - 1/2) = 3/10

3/10 ÷ 3/5 = 1/2

I. (2/5 ÷ 5/6) = 12/25

12/25 × 7/8 = 21/50

Answer:

1. -5.5   2. 5   3.  5, 5.5

Step-by-step explanation:

For #1 just look at what point it would be towards the y- axis.

For #2 you want to kinda estimate what it would be between.

And lastly #3 they want to see the exact coordinates for Q so, look at the x axis first they the y axis. Remember Run then Jump

Answer:

obtuse angle is the answer.

Step-by-step explanation:

because it is greater than 90 ° and lesser than 180°.

hope this answer will help you

Answer:

d

Step-by-step explanation:

that is the correct answer on the test

Answer:

Step-by-step explanation:

Because MK is a diameter, then angle L is a right angle. We already know that the measure of angle K is 50, so the measure of angle M has to be 40 because of the triangle angle-sum theorem. The rule for inscribed angles and the arcs they cut off is that the angle is half the measure of its intercepted arc or, likewise, the arc is twice the measure of the angle that cuts it off. Since arc LK is across from angle M and is cut off by angle M, then arc LK is twice the measure of angle M, and is 80. That's the same reason why angle L is 90; arc MK is a semi-circle, with a degree measure of 180, and angle L is half of that.

Arc LK = 80