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saveliy_v [14]
3 years ago
8

Which is the graph of y – 3 = (-2/3)(x + 6)?

Mathematics
1 answer:
Len [333]3 years ago
8 0

Answer:

The points are on (-1.5,0) and (0,-1)

Step-by-step explanation:

Hope this helps!

Brain-List?

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A quadratic function is defined by
ella [17]

Answer:

1. The vertex of the graph of the function is (-4, 7)

2. The vertex represents a minimum value

3. The equation represented by the new graph is g(x) = (x + 4)² + 1

Step-by-step explanation:

The given quadratic function is given in vertex  form, y = a·(x - h)² + k, as follows;

g(x) = (x + 4)² + 7

1. By comparing the given quadratic function and the vertex form of a quadratic equation, we have;

a = 1, h = -4, and k = 7

The vertex of the graph of the function, (h, k) = (-4, 7)

2. Given that a = 1 > 0, the graph of the quadratic function opens upwards and the vertex represents a minimum value

3. Shifting the graph 6 units down from where it is now will give;

The vertex = (h, k - 6) = (-4, 7 - 6) = (-4, 1)

h = -b/(2·a), k = (-b²/(4·a) + c = -a·h² + c

c = k + a·h²

Therefore, initial value of the constant term, c = -1×(-4)² + 7 = 23

After the shifting the graph 6 units down, c = 23 - 6 = 17

∴ k = 1 = -a·(-4)² + 17

∴ -16/16 = -1 = -a

a = 1

Therefore, the equation represented by the new graph is g(x) = (x + 4)² + 1.

5 0
3 years ago
Henry bought a package of cough drops for $3.79. He gave the clerk a $5 bill. How much change should he receive?
Alenkasestr [34]

Answer:

$1.21 he will recieve

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Find the equation of the line passing through the points A(3,2) and B(6,3)
icang [17]

Answer:

y = \frac{1}{3} x+1

Step-by-step explanation:

m = m = \frac{change in y}{change in x} \\m = \frac{3 - (2)}{6 - (3)}\\m = \frac{1}{3} \\Find the value of b using the equation of a line \\y = mx+b\\y =( \frac{1}{3} )x + b\\2 =( \frac{1}{3} ) * (3) + b\\cancel common factor\\1 + b = 2\\b = 1\\y = \frac{1}{3} x + 1

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3 years ago
Tim Worker wants to purchase an automobile warranty costing $856. If he chooses to make 12 equal payments, then in dollars and c
Svetlanka [38]

Answer:

<u>$71.33</u>

Step-by-step explanation:

An automobile warranty costing = $856

It is required to make 12 equal payments

So, we need to divide $856 over 12

So, the average payment = 856/12 = $71.33

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Kylie just accepted a job at a new company where she will make an annual salary of
Softa [21]

Answer:

$73,000

$43,000 + $5,000 x t

Step-by-step explanation:

Every year increase $5,000, after 6 years increase $5000 x 6 = $30,000

Her salary will be $43,000 + $30,000 = $73,000

After t years, her salary will be

$43,000 + $5,000 x t

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