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Naily [24]
3 years ago
13

Easy question

Mathematics
1 answer:
scoray [572]3 years ago
6 0

Answer:

y = (2/9)(x + 1)² + 2

Step-by-step explanation:

y = a(x - (-1))² + 2

y = a(x + 1)² + 2

4 = a(2 + 1)² + 2

4 = 9a + 2

9a = 2

a = 2/9

y = (2/9)(x + 1)² + 2

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Christine took 3 tests and had an average of 76. She has one more test to take and she wants an average of 80. What is the lowes
amm1812

Answer: She has to score a minimum of 92 marks to take her average to 80

Step-by-step explanation:

Let the equation be

Three months total = 76 x 3 = 228

(x + 228) / 4 = 80

x + 228 = 80 x 4

x = 320 - 228

x = 92

6 0
3 years ago
The population of a small rural town in the year 2006 was 2,459. The population can be modeled by the function below, where f(x)
Zepler [3.9K]

f(x)=2,459(0.92)^t

Using the information given above, complete the following statements. The percent change is %. The percent change represents .

f(x)=2,459(0.92)^t

Given equation is an exponential function and in the form of f(x) = a(1-r)^x

Where 'a' is the initial population

'r' is the decay rate

'x' is the time

f(x) = a(1-r)^x

Given function is f(x)=2,459(0.92)^t

1 - r = 0.92

r = 1 - 0.92

r = 0.08

r= 0.08 %

Percentage change = 0.08%

Percentage change represents the decay rate.

8 0
3 years ago
Read 2 more answers
3. Ella has 34 more buttons than Julio.
kakasveta [241]
83 just add the amount of Ella’s and amount of Julio’s
8 0
3 years ago
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I need help please.
sweet-ann [11.9K]

Answer:

<u>Third Option</u>: y = \frac{5}{4}x

Step-by-step explanation:

Given the points on the graph, (4, 5) and (-4, -5):

In order to determine the equation of the given graph in slope-intercept form, y = mx + b:

Use the given points to solve for the slope:

Let (x₁, y₁) = (-4, -5)

(x₂, y₂) = (4, 5)

m = (y₂ - y₁)/(x₂ - x₁)

m = \frac{5 - (5)}{4 - (-4)}  = \frac{5 + 5}{4 + 4}  = \frac{10}{8} = \frac{5}{4}

Therefore, the slope of the line is: m = \frac{5}{4}.

Next, use one of the given points on the graph, (4, 5) to solve for the y-intercept, b:

y = mx + b

5 = \frac{5}{4} (4) + b

5 = 5 + b

5 - 5 = 5 - 5 + b

0 = b

Therefore, the linear equation in slope-intercept form is: y = \frac{5}{4}x.  The correct answer is Option 3.

8 0
3 years ago
Write the equation of the line that passes through (-2, 6) and (2, 14) in slope-<br> intercept form.
creativ13 [48]

Answer:

Y= 2x+10

Step-by-step explanation:

(-2, 6), (-1, 8), (0, 10), (1, 12), (2, 14)

You add 2 every time

6 0
2 years ago
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