All categories

2 years ago

Which value, when placed in the box, would result in a system of equations with infinitely many solutions?

Mathematics

2 answers:

Elina [12.6K]2 years ago

8 0

Answer:

Step-by-step explanation:

SSSSS [86.1K]2 years ago

7 0

For a system of equations to have infinitely many solutions, they have to intersect infinite times. For linear functions, this can only happen if they are the same line. Let's rearrange the second equation so that it is easier to compare the two functions.

2y-4x=b
2y=4x+b
y=2x+b/2

Because the linear functions must be the same function, set them equal to each other to find b.

2x+b/2=2x-5
b/2=-5
b=-10

So the missing number is -10.

You might be interested in

Factorise 15x+ 18y???

anyanavicka [17]

Oh dear~This can only be simplified。
15X+18y
3(5X+6Y)
That's your answer.

4 0

2 years ago

Read 2 more answers

Dave’s Automatic Door, referred to in Exercise 29, installs automatic garage door openers. Based on a sample, following are the

HACTEHA [7]

The question is not complete and the full question says;

Calculate the (a) range, (b) arithmetic mean, (c) mean deviation, and (d) interpret the values. Dave’s Automatic Door installs automatic garage door openers. The following list indicates the number of minutes needed to install a sample of 10 door openers: 28, 32, 24, 46, 44, 40, 54, 38, 32, and 42.

Answer:

A) Range = 30 minutes

B) Mean = 38

C) Mean Deviation = 7.2

D) This is well written in the explanation.

Step-by-step explanation:

A) In statistics, Range = Largest value - Smallest value. From the question, the highest time is 54 minutes while the smallest time is 24 minutes.

Thus; Range = 54 - 24 = 30 minutes

B) In statistics,

Mean = Σx/n

Where n is the number of times occurring and Σx is the sum of all the times occurring

Thus,

Σx = 28 + 32 + 24 + 46 + 44 + 40 + 54 + 38 + 32 + 42 = 380

n = 10

Thus, Mean(x') = 380/10 = 38

C) Mean deviation is given as;

M.D = [Σ(x-x')]/n

Thus, Σ(x-x') = (28-38) + (32-38) + (24-38) + (46-38) + (44-38) + (40-38) + (54-38) + (38-38) + (32-38) + (42-38) = 72

So, M.D = 72/10 = 7.2

D) The range of the times is 30 minutes.

The average time required to open one door is 38 minutes.

The number of minutes the time deviates on average from the mean of 38 minutes is 7.2 minutes

4 0

2 years ago

Paul and his neighbors decided to build a fence along his farm. After three hours, they have 15 meters of fencing complete. They

Goshia [24]

Let the be the time in hours, and meters of fencing completed.

We know that After three hours, they have 15 meters of fencing complete, our graph will go from the point (0,0) to the point (3,15). We also know that they decide to take a 2-hour break for lunch and then resume building the fence, so our graph will go from the point (3,15) to the the point (5,15). Finally, After four more hours, they have a fence that is a total of 55 meters long, so the final part of our graph will go from the point (5,15) to the point (9,55)

We can conclude that the graph of t vs y is:

8 0

2 years ago

Mickey built his lemonade stand out of $75,000 worth of plywood and paint. he sells a glass of lemonade for $30 and uses $1.25 o

Leviafan [203]

Break even point is where all the expense is already covered by the revenue. In this case, the expense would be the stand ($75,000) and the lemon+sugar+water ( $1.25 per glass). The revenue comes from lemonade($30/glass). Then the equation would be:

$30 * glass of lemonade= $75,000 + $1.25 * glass of lemonade
($30-$1.25) * glass of lemonade= $75,000
glass of lemonade= 2608.7

4 0

2 years ago

The minimum distance from Earth to the Sun is 91.4 million miles. The maximum distance is 94.5 million miles write a absolute va

d1i1m1o1n [39]

Solution :

The minimum distance from Earth to the Sun is 91.4 million miles

The maximum distance is 94.5 million miles

$d_{min} = 91.4, d_{max} = 94.5$