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8_murik_8 [283]
3 years ago
9

morgan measures the capacity of a juice glass to be 12 fluid ounces. if she uses the glass to drink 4 glasses of water throughou

t the day, how many pints of water does morgan drink
Mathematics
1 answer:
Paha777 [63]3 years ago
3 0
If Morgan drinks 4 glasses of 12 ounces of water, then she drinks 48 fluid ounces throughout the day. There are 16 ounces in one pint. That means, Morgan drinks 3 pints of water!
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Solve the following system of equations algebraically:<br> y = x2 - 6x + 9<br> y = -9x + 19
Ratling [72]
{(-5,64), (2,1)}

linear equation: y = -9x + 19
quadratic equation: y = x² - 6x + 9

Substitute the y in the quadratic equation by the its value in the linear equation.

-9x + 19 = x² - 6x + 9
      -  19               - 19    *subtract 19 to both sides
-9x         = x² - 6x -10
+9x              + 9x            *add 9x to both sides
0            = x² + 3x - 10
0            = (x + 5) (x - 2) *Factor

Set each factor = 0 and solve
x + 5 = 0    ;      x - 2 = 0
x = -5         ;      x = 2

Find the corresponding value of y using the linear equation.
y = -9x + 19

x = -5                              x = 2
y = -9(-5) + 19               y = -9(2) + 19
y = 45 + 19                    y = -18 + 19
y = 64                            y = 1

(-5,64)                              (2,1)

Check each value on each equation.
y = x² - 6x + 9
(-5,64)                                                  (2,1)
64 = (-5)² - 6(-5) + 9                          1 = 2² - 6(2) + 9
64 = 25 + 30 + 9                                1 = 4 - 12 + 9
64 = 64                                               1 = 1

y = -9x + 19
64 = -9(-5) + 19                                  1 = -9(2) + 19
64 = 45 + 19                                      1 = -18 + 19
64 = 64                                              1 = 1

{(-5,64), (2,1)}

3 0
3 years ago
Which of the following statements are true of the graph of the function f(x)= (x+5)(x-3).
alexandr1967 [171]

Answer:

4 is the correct answer

Step-by-step explanation:

y=(x+5)(x-3)

so x intercept means the value of x when y is zero

0=(x+5)(x-3)

x+5=0 so x=-5

x-3=0 so x=3

5 0
3 years ago
Solve the expression for the specified variable. <br> S=DC-8, for D
anastassius [24]
D=(S+8)/C

S=DC-8
add 8 to both sides
S+8=DC
divide c from both sides
(S+8)/C=D
4 0
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Korvikt [17]

Answer:

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Step-by-step explanation:

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Translate into an inequality.
Viktor [21]

Answer:

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Step-by-step explanation:

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