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3 years ago

Find the slope of the line that contains the points (6, -2) and (-3, 7)

1 answer:

3 0

$\bf \begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
% (a,b)
&&(~ 6 &,& -2~) 
% (c,d)
&&(~-3 &,& 7~)
\end{array}
\\\\\\
% slope = m
slope \implies 
\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{7-(-2)}{-3-6}\implies \cfrac{7+2}{-3-6}\implies \cfrac{9}{-9}\implies -1$

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Solve and graph

oksano4ka [1.4K]

2r - 9 > -6
2r - 9 = -6
2r = 3
r = 3/2 = 1.5
r > 1.5

9x-5 < -41
9x-5 = -41
9x = -36
x = -36/9 = -4
x < -4

3x + 13 > 7
3x + 13 = 7
3x = -6
x = -6/3 = -2
x > -2

4x + 3 > -17
4x + 3 = -17
4x = -20
x = -20/4 = -5
x > -5

7x - 4 < 10
7x - 4 = 10
7x = 14
x = 14/7 = 2
x < 2

4 0

3 years ago

Please help as soon as possible 50 points

Morgarella [4.7K]

Answer:

the answer is d. 4x²+x-6

Step-by-step explanation:

In order to combine the fractions, they need to have the same denominator.

So, multiply each of their numerators by the denominator they need to be equivalent.

This would look like this:

3x/x+3 --> 3x(x)/x(x+3) ---simplify this as--> 3x²/x(x+3)

x-2/x --> (x-2)(x+3)/x(x+3) ---simplify this as --> x²+x - 6/x(x+3)

3x 3x(x) x-2 (x-2)(x+3)

----- ---> ----- and -------- ---> ---------

x+3 x(x+3) x x(x+3)

now that both fractions have the same denominator, we can add their numerators.

3x² + x²+x-6 = 4x²+x -6

This should now look like this:

4x²+x -6

-------------

x(x+3)

8 0

2 years ago

Read 2 more answers

Which graph could represent the equation y=-x^2+4?

Sphinxa [80]

J because this is a quadratic function which is shaped like a u upward

7 0

3 years ago

Math Help Please explain the questions How long will it take for the balance of an account to double if the savings account earn

Scorpion4ik [409]

(See attached formula)
Years = log (total / principal) / n*log(1 + rate/n) where n = compounding periods per year
Years = log (total / principal) / n*log(1 + rate/n)
Rate of .75% = .0625 per month
We'll say we want total = 200 and principal = 100
Years = log (200 / 100) / 12*log(1 + rate/n)
Years = log (2) / 12 * log (1 + .0625/12)
Years = 0.3010299957 / 12 * 0.0022560803 
Years = 0.3010299957 / 0.0270729635 
Years = 11.1192110871 
I don't think that's right
The interest rate is REALLY low. (Less than 1%)
Rate = .75 and .0075 when in a formula
Years = log (2) / 12 * log (1 + .0075/12)
Years = log (2) / 12 * log( 1.000625)
Years = 0.3010299957 / 12 * 0.0002713493 
Years = 0.3010299957 / 0.0032561912 
Years = 92.4485010892
THAT seems a more likely answer with such a low interest rate.

5 0

2 years ago

TW¯¯¯¯¯¯¯¯¯=14.6, CW¯¯¯¯¯¯¯¯¯=6, TU¯¯¯¯¯¯¯=21.2. Find the value of VW¯¯¯¯¯¯¯¯¯.

pogonyaev

TW x WU = CW x VW

Fill in the known values:

WU = TU - TW = 21.2 - 14.6 = 6.6

14.6 x 6.6 = 6 x VW

Simplify:

96.36 = 6VW

Divide both sides by 6:

VW = 96.36 / 6

VW = 16.06

Round to one decimal place:

VW = 16.1

The answer is D>

8 0

3 years ago

Read 2 more answers