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notka56 [123]
3 years ago
8

What does the line 5x + 4y = -6 look like

Mathematics
1 answer:
RoseWind [281]3 years ago
5 0

Answer:

See attached photo for graph

Step-by-step explanation:

Solve the equation for y...  (that means get y by itself)

4y = -5x - 6         (subtract 5x from both sides)

y = -(5/4)x - 6/4  (divide both sides by 4)

y = -(5/4)x - 3/2      (simplify)

Now you can graph using slope-intercept method.   The y-intercept is -3/2, and the slope is -5/4    

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If you roll one die and flip one coin, what is the probability of rolling a 2 and flipping a head? Why?
Nezavi [6.7K]

Answer:

Probability of rolling a 2 and flipping a head will be \frac{1}{12}    

Step-by-step explanation:

If we roll one die then probability to get any one side is \frac{1}{6}

Therefore, probability to get 2 by rolling the die will be P(A) = \frac{1}{6}

Now we flip a coin then getting head or tale probability is \frac{1}{2}

Or probability to get head by flipping the coin P(B) = \frac{1}{2}

Probability of happening both the events (rolling a 2 and flipping a head) will be denoted by

P(A∩B) = P(A)×P(B)

           = \frac{1}{6}\times \frac{1}{2}

           = \frac{1}{12}

Therefore, probability of rolling a 2 and flipping a head will be \frac{1}{12}        

3 0
4 years ago
Read 2 more answers
Find all real solutions and show work: <br> 2x^3-3x^2+18x-27=0
Amiraneli [1.4K]

Given:

The given equation is

2x^3-3x^2+18x-27=0

To find:

All the real solutions.

Solution:

We have,

2x^3-3x^2+18x-27=0

It can be written as

x^2(2x-3)+9(2x-3)=0

(2x-3)(x^2+9)=0

Using zero product property, we get

(2x-3)=0 and (x^2+9)=0

2x=3 and x^2=-9

x=\dfrac{3}{2} and x=\pm\sqrt{-9}

We know that x=\pm\sqrt{-9} is an imaginary number because there is a negative sign under the square root.

Therefore, x=\dfrac{3}{2} is the only real solution of the given equation.

5 0
3 years ago
Help pleaseeeee?????
Artyom0805 [142]
They would be identical so it would be 114
4 0
3 years ago
May I get some help? Thank you!​
Katen [24]

Answer:

vol. of triangular prism = lbh/2

vol. of rectangular prism = 18 of vol. of triangular prism

18x = 18 + 14x

4x = 18

x=4.5 ft

so vol. of rectangular prism = 6 × 4 . 5 × 3 = 81 ftcube

7 0
3 years ago
Read 2 more answers
WHAT IS 4 TIMES TWO THIRDS IN A MIXED FRACTION
Alex73 [517]
\frac{4}{1}×\frac{2}{3}=\frac{8}{3}
You then divide the numerator(top) by the denominator(bottom)
\frac{8}{3}=2 \frac{2}{3}
Your answer is 2 \frac{2}{3}
3 0
3 years ago
Read 2 more answers
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