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kompoz [17]
3 years ago
15

Write the quadratic equation whose roots are −3 and 6, and whose leading coefficient is 2

Mathematics
1 answer:
enyata [817]3 years ago
5 0
X² - Sx + P = 0
x² - (-3+2)x + (-3)*2 = 0
x² - (-1)x - 6 = 0
x² + x - 6 = 0
a = 2
2x² + 2x - 12 = 0
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K divide by 6 + 8 = 5
VLD [36.1K]

Answer:

k= -18

Step-by-step explanation:

5 = (k/6) + 8 so 5-8 = k/6

-3=k/6 then -3 multiplied by 6 = k which is -18 = k

-18/6= -3

-3+8=5

5 0
3 years ago
What is the value of x in the equation 3x-1/9y=18, when y=27?
natulia [17]

Hi Vanessa


3x -1/9 (27) =18

3x - 27/9 =18

3x- 3 =18

Add 3 to both sides

3x-3+3=18+3

3x=21

Divide both sides by 3

3x/3= 21/3

x= 7

The value of x is 7


Now let's check if my answer is correct

To check it we gonna replace x by 7 and 27 for y

(3)(7) -1/9 (27) = 18

21 -1/9 (27)=18

21- 27/9 = 18

21- 3 = 18

18 = 18


The answer is good and I hope its help:0

5 0
3 years ago
Write this ratio as a fraction in simplest form without any units. 28 quarts to 9 gallons You can use the table below to help co
jolli1 [7]

Answer:

  7/9

Step-by-step explanation:

In order to write the fraction without any units (as a pure number), we must have units in the numerator and denominator that are the same. Then the units cancel.

<h3>Convert to gallons</h3>

We are given the conversion ...

  4 quarts = 1 gallon

Multiplying by 7, we see ...

  28 quarts = 7 gallons

<h3>Ratio</h3>

This lets us write the desired fraction as ...

  (28 quarts)/(9 gallons) = (7 gallons)/(9 gallons) = 7/9

The ratio in simplest form is 7/9.

4 0
2 years ago
A train is accelerating at a rate of 2.0 km/hr squared. If it’s initial velocity is 20 km/hr, what is its velocity after 30 seco
tangare [24]

Answer: 30

Step-by-step explanation:

4 0
3 years ago
Jasmine is in a bicycle race. She has already biked 10 miles and is now biking at a rate of 18 miles per hour. Write and equatio
Dafna1 [17]

Answer:

y = 18x + 10

slope = 18

y-intercept = 10

Step-by-step explanation:

The situation given in the problem is linear and can be represented using slope-intercept form of a linear equation: y = mx + b, where 'm' is equal to the slope, 'b' is equal to the y-intercept, 'x' is the number of hours and 'y' is the total number of miles.  

Given that Jasmine has already biked 10 miles, her initial value, or y-intercept would be 10.  Since she is now biking at a rate of 18 miles per hour, her rate of change, or slope, would be 18.  

Using these values for 'm' and 'b': y = 18x + 10

6 0
3 years ago
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