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ZanzabumX [31]
3 years ago
6

The cost of tuition at Johnson Community College is $190 per credit hour. Each student also has to pay $60 in fees. Write a line

ar equation model for this situation. Use C for the cost and x for the number of credit hours.
Mathematics
2 answers:
natita [175]3 years ago
7 0
<span>The cost of tuition at Johnson Community College is will be : </span>C = 190x + 60
mrs_skeptik [129]3 years ago
5 0
The answer is

C=f(x)=190x + 60, 

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Let f (x) = x^2 + 2xHow would you explain what f(5) means to a friend?
luda_lava [24]

Answer:

I would tell this friend to think of f(5) as them telling you what x is.

Step-by-step explanation:

So basically you would be imputing 5 everywhere x is to solve the equation.

7 0
3 years ago
-2x - y = 1<br> -6x=3y+3
Natali5045456 [20]

Answer: All Real Number

Step-by-step explanation:

This is a system of equation, and generally, there are three ways to solve:

  • elimination
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Here, we are going to use elimination

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Given

-2x-y=1

-6x=3y+3

Put them in the same order

-2x-y=1

-6x-3y=3

Multiply 3 on both sides for the first equation

-6x-3y=3

-6x-3y=3

We subtract the first equation from the second equation

0=0

The answer will be All Real Numbers, which means any real number will fit this equation. In the graphing method, these two equations will overlap each other.

Hope this helps!! :)

Please let me know if you have any questions

6 0
3 years ago
Calculate the missing angle and give a reason for your answer
larisa86 [58]
Here’s the proof:

The triangle is an Isosceles Triangle. An Isosceles Triangle is a type of triangle that has 2 congruent sides. There is a Theorem called The Isosceles Triangle Theorem, in which states that if a triangle has 2 congruent sides, then it is an Isosceles Triangle, and the angles oppositely the congruent sides will be congruent. Therefore, we know that the triangle is Isosceles because it has 2 congruent sides, so the angles opposite those sides are congruent. We first need to find the angle measures.

1.) Finding the angle measures using the Triangle Sum Theorem. The Triangle Sum Theorem states that all 3 angles in a triangle must sum up to 180°. So, we can create an Algebraic equation to solve and figure out what the angle measures are of the two angles at the bottom of the triangle because they are opposite to the congruent sides.
Equation:
26+2x=180. We know that one angle measure is 26°, and we know the other 2 are angles are congruent, so we will call them X, and there are two of them, so we call them 2x.
26-26+2x=180-26
2x=154
2x/2=154/2
x=77.
Therefore, the angles measure 77°. To check that we can just plug them back into our equation:
26+2(77)=180.
180=180.
The angle measures are correct.

2.) Since we know the angle measures of the triangle, we can use the Alternate Exterior Angles Theorem, which states: if a transversal is intersected by two parallel lines, then the alternating exterior angles are congruent. We can see in the picture that the lane with the triangle on top and trapezoid at the bottom is a transversal (transversal=line intersected by two parallel lines). We can also see that the two lines with arrows are parallel because they are marked parallel with arrows. Therefore, we have a transversal intersected by two parallel lines, so the angles outside the parallel lines and and opposite each other are congruent.

We know that the two angles at the base of the triangle are 77°. The left base angle in the triangle is outside the parallel lines, so angle n or n° must also be 77° because they are both outside the parallel lines (exterior) and alternating from each other.

Therefore, n°=77°
8 0
2 years ago
What is the reciprocal of<br> 5/3<br> Submit
scoray [572]

Answer:

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Step-by-step explanation:

8 0
3 years ago
A barn is shaped like a rectangular prism with a triangular prism on top as shown. The exterior four walls and two triangular fa
NemiM [27]

Answer:

Step-by-step explanation:

A barn is in form of rectangular prism

Given the dimension

Height H = 20 ft

Length L = 84 ft

Width W = 38 ft

Triangular prism dimensions

Height H = 12 ft

Length L = 84 ft

Width W = 19 ft

Given that,

1 gallon covers 232 Square feet

1 gallon = 232 ft²

So, we need to total surface area to be shaded

First for the rectangular prism, only the four exteriors wall that can be painted, the bottom and the top where the triangular rest on cannot be painted,

So, Area of rectangular prism

A = 2(LW + LH + WH)

But in this case, no length and width covers so, LW = 0

A = 2(LH + WH)

A1 = 2(84 × 20 + 38 × 20)

A1 = 2(1680 + 760)

A1 = 2 × 2440

A1 = 4880 ft²

Now, area to be covered in the triangular prism

Only two regular face is needed to be covered

Then,

Area of a triangle is ½b×h

Then, the two sides to be cover will have

A2 = 2 × (½ × 19 × 12)

A2 = 228ft²

So, total area to be painted is

A = A1 + A2.

A = 4880 + 228

A = 5108 ft²

So,

1 gallon = 232ft²

x gallon = 5108ft²

Cross multiply

x gallon = 5108ft² × 1gallon / 232ft²

x gallon = 22.017

So, approximate 22 gallon will be enough, but for design reason, it is advisable to get 23 gallons,

5 0
3 years ago
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