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Masteriza [31]
2 years ago
10

At what value of x do the graphs of the equations below intersect 2x-y=6 5x+10y=-10

Mathematics
1 answer:
Irina18 [472]2 years ago
5 0

Answer:

The graphs of the equations intersect at x=2

Step-by-step explanation:

we have

2x-y=6 ----> equation A

5x+10y=-10 ----> equation B

Solve the system by graphing

Remember that the solution of the system of equations is the intersection point both lines

Using a graphing tool

The solution is the point (2,-2)

see the attached figure

therefore

The graphs of the equations intersect at x=2

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Linda saves $1.55 every day. Tyron saves $3.90 every day. Linda started saving 3 days earlier than Tyron. On which day will Tyro
madreJ [45]
Step 1: Write the amount of savings in equation
Linda's savings: s=1.55d
Tyron's savings: m=3.90d

Step 2: Add on the extra days to Linda's savings
Linda's savings s=1.55d+3(1.55)

Step 4: Simplify equation
s=1.55d+3(1.55)
s=1.55d+4.66

Step 5: Substitute numbers for d days until Tyron's m savings is greater than Linda's s saving
m=3.90d s=1.55(2)+4.66
m=3.90(2) s=3.10+4.66
m=7.80 s=7.76

On Tyron's second day he will have more money in his savings than Linda does.
4 0
2 years ago
Read 2 more answers
Half of a class took Form A of a test, and half took Form B. Of the students who took form B, 39% passed. What is the probabilit
mr Goodwill [35]

Answer:

NOT VERY LIKELY

Step-by-step explanation:

• 1/2 OF THE CLASS TOOK FORM A

• 1/2 = 50%

• THE CHANCE CANNOT BE OVER 50%

• 39% OUT OF 50% PASSED

• 50% - 39% = 11%

• THE ANSWER IS NOT VERY LIKELY

5 0
2 years ago
Harold measures the heights in inches of the new plants that are growing in his greenhouse. He records the lengths shown below a
viva [34]

Answer:

The least value plotted on the line plot is 18.0

The greatest value plotted on the line plot is 22.0

The height of inches occurs the most often is 19.5 with 3 times

Step-by-step explanation:

A line plot is a graph that shows frequency (the number of times the data value occur) of data along a number line.

The line plot has dots plotted on it over each value of the number line.

8 0
2 years ago
What do the symbols of mirrors and glass represent in this
luda_lava [24]

Question:

Read the excerpt from Julius Caesar, act 1, scene 2.

CASSIUS: ‘Tis just; And it is very much lamented, Brutus, That you have no such mirrors as will turn Your hidden worthiness into your eye, That you might see your shadow. I have heard 5 Where many of the best respect in Rome– Except immortal Caesar‐speaking of Brutus, And groaning underneath this age’s yoke, Have wished that noble Brutus had his eyes.

BRUTUS: Into what dangers would you lead me, Cassius, 10 That you would have me seek into myself For that which is not in me?  

CASSIUS: Therefore, good Brutus, be prepared to hear. And since you know you cannot see yourself So well as by reflection, I, your glass, 15 Will modestly discover to yourself That of yourself which you yet know not of.

Answer:

The correct choice is D)

Explanation:

Cassius speaks of Brutus as one who is unable to see or know his own value and presumes to help him therewith. He does this by pointing out that many of the well respected people in Rome wish that he were in Caesars shoes as King.

Cheers!

7 0
2 years ago
Suppose flaws (cracks, chips, specks, etc.) occur on the surface of glass with density of 3 per square meter. What is the probab
DiKsa [7]

Answer:

0.047

Step-by-step explanation:

Given that poisson distribution with mean m, for 0.5 square meter =1.5

Then the formula for finding the probability =

P[k] = (e^-m * m^k) k!

Hence we have

P[4] =[ (e^-1.5) * (1.5^4)] ÷ 4 * 3 * 2 * 1

= (0.2231301601 * 5.0625) ÷ 24

=( 1.12944375) ÷24

= 0.04706

≈ 0.047

Hence, the final answer is 0.047

8 0
2 years ago
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