All categories

3 years ago

PLZ HELP WILL MARK BRAINLIEST!

Mathematics

2 answers:

mel-nik [20]3 years ago

8 0

Answer:

So far we have looked at linear systems of equations in which the lines always intersected in one, unique point. ... When we graph them, they are one line, coincident, meaning they have all points in common. This means that there are an infinite number of solutions to the system.

Step-by-step explanation:

Arada [10]3 years ago

4 0

First, let’s simplify all the given equations.

A: 0.5(60)x + 5
30x + 5

B: 0.65(50)x

32.5x

C: 45x - 0.75(20)x + 5
45x - 15x + 5

30x + 5

D: 1.5(10)x + 15(x + 1) - 5
15x + 15x + 15 - 5

30x + 10

Exactly one solution:
For an equation to have exactly one solution, you must be able to solve for x.
A, C, and D all have 30x in their equation. Meaning, if you equated them, you would either end up with a false statement or a true statement.

Therefore, we have two possible equations that has one solution.

30x + 5 = 32.5x
30x + 10 = 32.5x

No solution:

For an equation to have no solutions, the equation, when simplified fully, must be a false statement. Combining A and C will result in an equation with infinite solutions( will discuss later)

However, both A and D have the same coefficient but different integers.

30x + 5 = 30x + 10

When simplified, you result with 5 = 10, which is false. Any equation that simplifies to a false statement has no solutions.

Infinite solutions: an equation with an infinite set of solutions will simplify to a true statement. We notice that C and A, after simplification, are the same.

30x + 5 = 30x + 5

After simplification, 5 = 5, which is true. You can try plugging in any value for x and it will always be equal.

You might be interested in

convert the following logarithmic equation to the equivalent exponential equation. Use the caret (^) to enter exponents. y=ln x

GarryVolchara [31]

1. To solve this problem, you need to remember that an exponential function has the following form:

f(x)=a^x

"a" is the base and "x" is the exponent.

2. It is important to know that the logarithmic functions and the exponential functionsare inverse. Then, you have:

y=ln x
 e^y=e^(lnx)
 e^y=x

3. Therefore, the answer is:

x=e^y

5 0

3 years ago

HELP PLEASE ASAP!!!!

vodomira [7]

Answer:

I may be wrong, but I learned that the first slot would be "terms". 4:3 would be an example of a ratio so it couldn't be ratio and a difference is subtracting.

The second slot would not be a geometric sequence because it is not correctly placed on the number line.

Therefore, the answers would be "terms" and "is not"

5 0

3 years ago

Martene got a small aquarium for her birthday. The aquarium is a right rectangular prism 18.5cm long by 15cm wide. Martene put 3

natita [175]

Equation for this problem: Total 3 cubed / (L x W)

So 18.5cm x 15cm = 277.5 is the product of L and W. Now you need to devide the total by 277.5 which is 14. So the aquarium is 14 cm deep.

7 0

2 years ago

Solve 9x-14-2x=5(2x-6)

deff fn [24]

$9x-14-2x=5(2x-6)\qquad\text{use distributive property}\\\\(9x-2x)-14=(5)(2x)+(5)(-6)\\\\7x-14=10x-30\qquad\text{add 14 to both sides}\\\\7x=10x-16\qquad\text{subtract 10x from both sides}\\\\-3x=-16\qquad\text{divide both sides by (-3)}\\\\\boxed{x=\dfrac{16}{3}}$

8 0

3 years ago

The median household incomes in dollars in four towns over time are shown. Assume the median incomes increase linearly. Median H

marysya [2.9K]

Answer:

Step-by-step explanation:

Household. Year 2010. Year 2015. Difference

Adderley. 47,200 58,200. 11,000

Bonniville. 52,900. 62,400. 9,500

Clay City. 44,600. 57,600. 13,000

Daletown. 41,500. 54,000. 12,500

Percentage increase for Adderley = 11,000/47,200 * 100= 23.3%

Percentage increase for Bonniville = 9,500/52,900 * 100= 17.96%

Percentage increase for Clay City = 13,000/44,600 * 100= 29.15%

Percentage increase for Daletown = 12,500/41,500 * 100= 30.12%

We can now see that Bonniville is the city with the lowest rate of increase in median household income.

7 0

3 years ago