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3 years ago

What is a term provide an example with your description

1 answer:

5 0

A term is a single number or a variable. for example looking at an expresion 4x-7=5 the terms would be 4x, -7, and 5. hope that helped!

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Jonas is buying a three-day supply of camping snacks. An energy bar costs $1.50, and a bag of dried

ehidna [41]

Answer:

P+m=21

1.5p + 3m < 45

p > 0

m > 0

Step-by-step explanation:

3 0

4 years ago

What is the equation of the line that passes through (-2,3) and is parallel to 2x+3y=6?

Vsevolod [243]

Answer:

Step-by-step explanation:

$\bold{METHOD\ 1:}$

The slope-intercept form of an equation of a line:

$y=mx+b$

m - slope

b - y-intercept

Let $k:y=m_1x+b_1,\ l:y=m_2x+b_2$

then

$l\ \parallel\ k\iff m_1=m_2\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}$

We have the equation of a line:

$2x+3y=6$

Convert to the slope-intercept form:

$2x+3y=6$ subtract 2x from both sides

$3y=-2x+6$ divide both sides by 3

$y=-\dfrac{2}{3}x+2\to m_1=-\dfrac{2}{3}$

therefore the slope is $m_2=-\dfrac{2}{3}$

Put the value of the slope and the coordinates of the point (-2, 3) to the equation of a line:

$3=-\dfrac{2}{3}(-2)+b$

$3=\dfrac{4}{3}+b$ subtract 4/3 from both sides

$\dfrac{9}{3}-\dfrac{4}{3}=b\to b=\dfrac{5}{3}$

Finally:

$y=-\dfrac{2}{3}x+\dfrac{5}{3}$

Convert to the standard form (Ax + By = C):

$y=-\dfrac{2}{3}x+\dfrac{5}{3}$ multiply both sides by 3

$3y=-2x+5$ add 2x to both sides

$2x+3y=5$

$\bold{METHOD\ 2:}$

Let $k:A_1x+B_1y=C_1,\ l:A_2x+B_2y=C_2$ .

Lines k and l are parallel iff

$A_1=A_2\ \wedge\ B_1=B_2\to\dfrac{A_2}{A_1}=\dfrac{B_2}{B_1}$

We have the equation:

$2x+3y=6\to A_1=2,\ B_1=3$

then the equation of a line parallel to given lines has the equation:

$2x+3y=C$

Put the coordinates of the point (-2, 3) to the equation:

$C=2(-2)+3(3)\\\\C=-4+9\\\\C=5$

Finally:

$2x+3y=5$

4 0

3 years ago

40 points urgent really need answer

Kipish [7]

$a_1=1\\a_2=1+4=5\\a_3=5+2\cdot4=5+8=13\\a_4=13+3\cdot4=13+12=25\\a_5=25+4\cdot4=25+16=41\\a_6=41+5\cdot4=41+20=61$

Answer: d. 25 + 16 = 41

6 0

3 years ago

Simplify the following polynomial and write the answer in standard form

never [62]

Answer:

Step-by-step explanation:

We have to added up the like therms (the therms with the same literal parts)

x^2 + 2x^2 = 3x^2

3x - 4x = -x

2 + 1 = 3

3x^2 - x + 3

8 0

3 years ago

Use the table to write the rule (equation) for the relationship between x

vovikov84 [41]

Answer:

y = 4x - 3

Step-by-step explanation:

The values in the x column increase by 1 each time.

The values in the y column increase by 4 each time.

Therefore, the slope of your equation should be 4.

The y-intercept is -3 when x = 0.

The final equation would be:

y = 4x - 3

8 0

3 years ago