What is -7(1+5b)+6 .......

What is the equation of a line, in Slope Intercept Form, with a slope of 1/3 and passes through the point (9, 7)?

levacccp [35]

The slope-intercept form:

$y=mx+b$

m - slope

b - y-intercept

We have the slope $m=\dfrac{1}{3}\to y=\dfrac{1}{3}x+b$

and point (9, 7). Substitute:

$7=\dfrac{1}{3}(9)+b$

$7=3+b$ <em>subtract 3 from both sides</em>

$4=b\to b=4$

Answer: $y=\dfrac{1}{3}x+4$

7 0

3 years ago

Two trees have a bird on top of each. Distance between birdwatcher and first bird is 37 point 4 feet. Distance between each bird

Butoxors [25]

Answer:

64.5A

Step-by-step explanation:

6 0

4 years ago

If Benito is selecting samples of five values from the table, which row will result in the greatest mean? Population Data Row 1

Vilka [71]

Answer:

4th row will result in the greatest mean.

Step-by-step explanation:

We are asked to find the row with greatest mean from our given rows.

We will use formula $\bar{x}=\frac{\Sigma x}{n}$ , where,

$\bar{x}=\text{Mean}$ ,

$\Sigma x=\text{Sum of all data values}$ ,

$n=\text{Number of data points in sample}$

Let us find mean of each row using above formula.

$\text{Mean of row 1}=\frac{4+2+2+3+3}{5}$

$\text{Mean of row 1}=\frac{14}{5}$

$\text{Mean of row 1}=2.8$

Therefore, mean of 1st row is 2.8.

$\text{Mean of row 2}=\frac{3+3+4+3+2}{5}$

$\text{Mean of row 2}=\frac{15}{5}$

$\text{Mean of row 2}=3$

Therefore, mean of 2nd row is 3.

$\text{Mean of row 3}=\frac{2+4+3+4+3}{5}$

$\text{Mean of row 3}=\frac{16}{5}$

$\text{Mean of row 3}=3.2$

Therefore, mean of 3rd row is 3.2.

$\text{Mean of row 4}=\frac{3+4+4+7+3}{5}$

$\text{Mean of row 4}=\frac{21}{5}$

$\text{Mean of row 4}=4.2$

Therefore, mean of 4th row is 4.2.

Since 4th row has the highest mean, therefore, 4th row will result in the greatest mean.

6 0

3 years ago

Read 2 more answers

Write the equation of the line that passes through the points (7, -4) and (-1,3), first in point-slope form, and then in

RoseWind [281]

Step-by-step explanation:

first we need to calculate the slope, which is needed in both equation forms.

the slope is the ratio "y coordinate change / x coordinate change" when going from one point on the line to another.

I always prefer to go from left to right (but it works exactly the same way in the opposite direction), so I go from (-1, 3) to (7, -4).

x changes by +8 (from -1 to +7).

y changes by -7 (from +3 to -4).

so, the slope is -7/+8 = -7/8

when (7, -4) is used (I think you have a typo in the problem description up there), the point-slope form is

y - y1 = m(x - x1)

with (x1, y1) being the point coordinates, and m bring the slope

y - -4 = -7/8 × (x - 7)

or simplified

y + 4 = -7/8(x - 7)

the slope-intercept form is

y = mx + n

m being the slope, n being the y-intercept (y value for x=0).

we know already

y = -7/8 x + n

we also use the coordinates of a point here to solve for n :

-4 = -7/8 × 7 + n = -49/8 + n

-32/8 = -49/8 + n

17/8 = n

so, the full equation is

y = -7/8 x + 17/8

5 0

2 years ago

3x : 8 = 7 : 2 Calculate the value of x

skad [1K]

Answer: x = 28/3

$\frac{3x}{8}=\frac{7}2} \\\\=>3x=\frac{7.8}{2}=28 \\\\=>x=\frac{28}{3}$

Step-by-step explanation:

4 0

3 years ago