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3 years ago

10 The table shows the cost of blueberries at a local farmer's

Mathematics

1 answer:

wlad13 [49]3 years ago

3 0

Answer:

This question needs rephrasing. It makes no sense.

Step-by-step explanation:

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Find the equation of the line that is parallel to the given line and passes through the given point

Sati [7]

Answer:

$\huge\boxed{y=-\dfrac{1}{4}x-1\to x+4y=-4}$

Step-by-step explanation:

$\text{Let}\ k:y=m_1x+b_1;\ l:y=m_2x+b_2\\\\l\ ||\ k\iff m_1=m_2\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\==========================\\\\\text{We have}\ x+4y=-6.\\\text{Convert to the slope-intercept form:}\\\\x+4y=-6\qquad\text{subtract}\ x\ \text{from both sides}\\\\4y=-x-6\qquad\text{divide both sides by 4}\\\\y=\dfrac{-x}{4}-\dfrac{6}{4}\\\\y=-\dfrac{1}{4}x-\dfrac{3}{2}\to m_1=-\dfrac{1}{4}$

$\text{Lines are to be parallel. Therefore}\ m_2=-\dfrac{1}{4}.\\\\\text{We initially have the form equation}\ y=-\dfrac{1}{4}x+b.\\\\\text{The line passes through the point}\ (9,\ -3).\\\\\text{Substitute the coordinates of the point to the equation of a line:}\\\\x=9,\ y=-3\\\\-3=-\dfrac{1}{4}(9)+b\\\\-3=-\dfrac{9}{4}+b\qquad\text{add}\ \dfrac{9}{4}\ \text{to both sides}\\\\-\dfrac{12}{4}+\dfrac{9}{4}=b\to b=-\dfrac{3}{4}$

$x=8,\ y=-3\\\\-3=-\dfrac{1}{4}(8)+b\\\\-3=-2+b\qquad\text{add 2 to both sides}\\\\-1=b\to b=-1$

$\text{Therefore the equation is:}\ y=-\dfrac{1}{4}x-1.\\\\\text{Convert to the standard form}\ Ax+By=C:\\\\y=-\dfrac{1}{4}x-1\qquad\text{multiply both sides by 4}\\\\4y=-x-4\qquad\text{add}\ x\ \text{to both sides}\\\\x+4y=-4$

5 0

4 years ago

Please help. Will give Brainliest.

san4es73 [151]

Answer:

x = 0

x = 7/5

x = -2/3

Step-by-step explanation:

x2 =0

x=0

5x -7 =0

5x = 7

x = 7/5

3x+2 =0

3x = -2

x = -2/3

These are all the 3 roots of this equation

3 0

3 years ago

Work out the equation of the line which has a gradient of 2 and passes through the point (1,4)

Tom [10]

gradient is 2

Step-by-step explanation:

hhhhhhhhfhdd

8 0

3 years ago

On Saturday Stella worked for two hours helping her mother in the house. she spent 1/3 of her time doing laundry, 1/4 of a time

raketka [301]

$\bf \stackrel{\textit{total hours time}}{2}-\cfrac{1}{3}-\cfrac{1}{4}\impliedby \textit{we'll use an LCD of \underline{12}}
\\\\\\
2-\cfrac{1}{3}-\cfrac{1}{4}\implies \cfrac{(12\cdot 2)~-~(4\cdot 1)~-~(3\cdot 1)}{12}\implies \cfrac{24-4-3}{12}\implies \cfrac{17}{12}
\\\\\\
\textit{12 goes into 17 \underline{1 time} and it has a \underline{remainder} of 5 }\implies 1\frac{5}{12}$

which is one hour and 25 minutes.

7 0

4 years ago

Choose the correct equation to represent the problem: 15 is what percent of 48? (Remember that * means multiply)

vitfil [10]

Answer:

Step-by-step explanation:

6 0

3 years ago