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olya-2409 [2.1K]
3 years ago
8

Write the in slope intercept form. It has coefficient m=-4/7 and passes through the point (14,3)

Mathematics
1 answer:
cupoosta [38]3 years ago
3 0

Answer:

y = -4/7x + 11

Step-by-step explanation:

Given the slope, m = -4/7, and the set of ordered pairs, (14, 3):

We can substitute these values into the slope-intercept form, y = mx + b, and solve for the y-intercept:

Let x = 14

     y = 3

    m = -4/7

y = mx + b

3 = -\frac{4}{7}(14) + b

3 = -8 + b

Add 8 on both sides of the equation to solve for y-intercept, b:

3 + 8 = -8 + b + 8

11 = b

Therefore, given our slope, m = -4/7, and our y-intercept, b = 11:

Our linear equation in slope-intercept form is:

y = -4/7x + 11.

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Answer:

33

Step-by-step explanation:

In ΔPQR,

length of side=

77= 7×11

84= 12

Similarly, In ΔFGH

length=

36=3×12

so, the other side= 3×11= 33

6 0
3 years ago
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alex41 [277]
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4 0
3 years ago
a hospital bill is estimated to be $480. It ends up actually costing the patient $524.50. What is the percent of error in the bi
lozanna [386]

Answer:

8.48%

Step-by-step explanation:

Given that,

The estimated bill = $480

Actual costing of the bill = $524.50

We need to find the percent error in the bill. It can be calculated as follows :

\%=\dfrac{524.50-480}{524.50}\times 100\\\\\%=8.48\%

So, the percentage error in the bill is 8.48%.

6 0
3 years ago
The frequency distribution shows the number of registered motor vehicles for a random sample of 200 California households.
erastovalidia [21]

Answer:

1). Mean = 2.275

2). Median = 2 vehicles

Step-by-step explanation:

From the given table,

Number of vehicles (x)         Frequency (f)      (f)×(x)             Cumulative freq.

                  0                                    11                  0                           11

                  1                                     52                52                        63

                  2                                    66                132                      129

                  3                                    35                105                      164

                  4                                    19                  76                       183

                  5                                    12                  60                       195

                  6                                     5                  30                       200

                                                                          \sum (f\times x) = 455

Number of households = 200

Mean = \sum \frac{f.x}{n}

          = \frac{455}{200}

         = 2.275

Median = value of \frac{(n+1)}{2}th observation

             = value of \frac{201}{2}th observation

             = Value of 100.5th observation

             = Since 100.5th observation lies in the row of cumulative freq. = 129

             = 2

Therefore, median number of registered vehicles per California household

= 2 vehicles

6 0
3 years ago
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andriy [413]
It’s reflected across the origin. Or to the right across the y axis. Then down across the x axis
7 0
3 years ago
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