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zhannawk [14.2K]
2 years ago
10

Given g(x) = 3 - x, what is the value of g(-9)?

Mathematics
1 answer:
Mandarinka [93]2 years ago
6 0

Answer:

-6

Step-by-step explanation:

g(x) = 3 - x

g(9) = 3 - 9

3-9 = -6

g(9) = -6

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If AB=x+4, BC=2x-10, and AC =2x+1, then find the value for x, AB, BC and AC
pshichka [43]

If A, B and C are collinear, then:

AB+BC=AC\\\\AB=x+4,\ BC=2x-10,\ AC=2x+1

substitute:

(x+4)+(2x-10)=2x+1\\\\(x+2x)+(4-10)=2x+1\\\\3x-6=2x+1\ \ \ |+6\\\\3x=2x+7\ \ \ \ |-2x\\\\x=7\\\\AB=x+4\to AB=7+4=11\\\\BC=2x-10\to BC=2(7)-10=14-10=4\\\\AC=AB+BC\to AC=11+4=15

8 0
3 years ago
Cuál es el mejor estimado para la suma de 3/8 y 1/12
Anarel [89]
Ok, esto seria algo así. Primero, ya que 3/8 esta cerca de 4/8 ó 1/2, este seria 1/2. y ya que 1/12 esta mas cerca a 0 que 1/2, este seria 0. 1/2 + 0 = 1/2. El estimado para esto seria 1/2.
7 0
3 years ago
The data in the table represents the volume of helium, in cubic feet, inside a balloon relative to the elapsed time in minutes.
Mila [183]

The volume of helium inside the balloon decreased at a rate of 0.1 cubic feet per minute. The linear equation that represents the given data is y = -0.1x + 6 and its slope m = -0.1.

<h3>What is the equation of a line passing through two points?</h3>

The equation of the line passing through the points (x1, y1) and (x2, y2) is

(y - y1) = m(x - x1).

Where m is the slope of the line and is calculated by

m = (y2 - y1)/(x2 - x1)

<h3>Calculation:</h3>

The given data in the table represents the volume of helium (cu ft), inside a balloon relative to the elapsed time in minutes.

x: 5, 10, 15, 20, 25, 30, 35, 40

y: 5.5, 5, 4.5, 4, 3.5, 3, 2.5, 2

From this table, consider two points (5, 5.5) and (10, 5)

So, the equation of the line is

y- y1 = m(x - x1)

Where slope m = (y2 - y1)/(x2 - x1)

⇒ m = (5 - 5.5)/(10 - 5)

⇒ m = -0.5/5

∴ m = -0.1

Thus, the equation is

y - 5.5 = -0.1(x - 5)

⇒ y - 5.5 = -0.1x + 0.5

⇒ y = -0.1x + 0.5 + 5.5

⇒ y = -0.1x + 6.0

∴ y = -0.1x + 6

Since the slope of the line is negative, the volume of the helium inside the balloon decreased at a rate of 0.1 cubic ft per minute.

So, option 2 is correct.

Learn more about the slope of a line here:

brainly.com/question/3493733

#SPJ1

3 0
1 year ago
POZ HELP RN PLZZZZZzzzz
soldier1979 [14.2K]

Answer: It’s the third answer.

Step-by-step explanation:

There are 2.54 cm in one inch and 12 inches in one foot, so 2.54x12 = 1 foot. Multiply this by 2 to get 2 feet.

7 0
3 years ago
Which ordered pair represents the y-intercept of the graph of the equation y= -4x - 7
oksian1 [2.3K]

Answer:

(0,-7)

Step-by-step explanation:

7 0
3 years ago
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