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3 years ago

Use elimination to solve each system of equations: 6x + 5Y = 4 6x - 7y = -20

Mathematics

1 answer:

Zepler [3.9K]3 years ago

7 0

tep 1 :Equation of a Straight Line

1.1 Solve 6x+5y-4 = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line 6x+5y-4 = 0 and calculate its properties

Graph of a Straight Line : Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 4/5 so this line "cuts" the y axis at y= 0.80000

y-intercept = 4/5 = 0.80000 Calculate the X-Intercept :

When y = 0 the value of x is 2/3 Our line therefore "cuts" the x axis at x= 0.66667

x-intercept = 4/6 = 2/3 = 0.66667 Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 0.800 and for x=2.000, the value of y is -1.600. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -1.600 - 0.800 = -2.400 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

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4 years ago

Read 2 more answers

I NEED HELP ASAP, THAK YOU IN ADVANCED

german

1. If Sheryl works 6.5 hours in a day, she makes approximately 85 currency.

2A. If Sherly had not worked for a single hour, she would get no money.

If she worked for 1 hour, here wage would approximately be equal to 13 currency.

If Sheryl works 9 hours she will make approximately 117 currency.

Step-by-step explanation:

Step 1:

To calculate how much Sheryl makes if she works 6.5 hours a day, we check the graph to see what the y value of the graph is when $x =6.5$ .

When $x =6.5$ , the line falls on $y = 85.$

So if Sheryl works 6.5 hours in a day, she makes approximately 85 currency.

Step 2:

The two points on the graph are at (0, 0) and (1, 13).

This means that if Sherly had not worked for a single hour, she would get no money.

If she worked for 1 hour, here wage would approximately be equal to 13 currency.

These two statements explain the two points on the graph.

Step 3:

To calculate how much Sheryl makes if she works 9 hours, we must create an equation that represents how much money she makes.

If she earns approximately 13 currency an hour, her wage is $y = 13x$ , where x is the number of hours worked and y is the wage.

When $x =9$ , $y = 9(13) = 117.$

So if Sheryl works 9 hours she will make approximately 117 currency.

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4 years ago

Complete the remainder of the table for the given function rule:

cluponka [151]

Answer:

(-2,4) , (0,5) , (2,6) , (4,7)

Step-by-step explanation:

you just substitute every value of x in the equation and you get y

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3 years ago

The feet of the average adult woman are 24.6 cm long, and foot lengths are normally distributed. If 16% of adult women have feet

nevsk [136]

Answer:

Approximately 16% of adult women have feet longer than 27.2 cm.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The feet of the average adult woman are 24.6 cm long

This means that $\mu = 24.6$