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Gnom [1K]
3 years ago
13

The vertex parabola is (-2,-3) when the x value is -1 the y-value is -5 what is the coefficient of the squared expression in the

parabolas equation

Mathematics
1 answer:
zhannawk [14.2K]3 years ago
4 0
The equation can be written in vertex form as
  y = a(x +2)² - 3
Substituting the given values, we can find the coefficient "a".
  -5 = a(-1+2)² -3
  -2 = a . . . . . . . . . add 3 and simplify

The coefficient of the squared term is -2.

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Reggie was looking at a map of the school the scale shows that 1 inch equals 150 ft if the distance between his classroom in the
topjm [15]

Answer:

the actual distance is 1800 ft.

Step-by-step explanation:

Proportion states that the two fractions or ratios are equal.

Let x be the actual distance.

As per the statement:

Reggie was looking at a map of the school the scale shows that 1 inch equals 150 ft.

⇒1 inch = 150 ft.

if the distance between his classroom in the cafeteria measures 12 in on the map.

by definition of proportions we have;

\frac{1}{150} = \frac{12}{x}

By cross multiply we have;

x = 12 \cdot 150 = 1,800 ft

Therefore, the actual distance is 1800 ft.

4 0
3 years ago
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What is the 7th term of the geometric sequence where a1 = 625 and a2 = −125?
myrzilka [38]
Common ratio, r = (-125)/625 = -0.2
First term, a = 625

7 term
= ar^6
= 625(-0.2)^6
= -0.04
4 0
3 years ago
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If a car travels 180 km on 12 liters of gas, how many km per liter does the car get? Express in simplest form.
lora16 [44]

Answer:

<u>5 kilo-meters per liter of gas</u>

Step-by-step explanation:

180 divided by 12 would be 180 / 12 = 5 km per liter

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6 0
3 years ago
The graph below shows a system of equations:
Nostrana [21]
3y = -2x + 2
y = x + 4 (Substitute the y)

3(x + 4) = -2x + 2 (Distribute)
3x + 12 = -2x + 2 (Add 3 to both sides)
+3x       +3x
------------------------------------------
12 = 1x + 2 (Subtract 2 from both sides)
-2         - 2
------------------------
10 = 1x (Divide by 1 on both sides)
10/1 = 1x/1
x = 10 
This is your x-coordinate
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3 years ago
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Mamont248 [21]
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8 0
2 years ago
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