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Naddik [55]
3 years ago
6

What is the average rate of change between x=1 and x=5 for y=2x+5

Mathematics
1 answer:
Artist 52 [7]3 years ago
3 0

Answer:

the average rate of change is 2 with an intercept of 5

Step-by-step explanation:

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HELP I have attatched an image i will give extra points for best answer
Eduardwww [97]

Answer:

y = 2x

Step-by-step explanation:

Given y is directly proportional to x then the equation relating them is

y = kx ← k is the constant of proportion

To find k use the condition when x = 4, y = 8, that is

8 = 4k ( divide both sides by 4 )

2 = k, thus

y = 2x ← equation of proportion

5 0
3 years ago
Solve the following quadratic equation by completing the square: x² + 12x = 15
Lerok [7]
Answer:

x = -1.14 or -13.14

Explanations:

The given equation is:

x^2+12x\text{  =  15}

Find the half of 12, and add the square to both sides of the equation.

That is add 6² to both sides

x^2+12x\text{ + 6}^{2}\text{  =  15 + 6}^{2}\begin{gathered} (x+6)^2\text{ =  15  +  3}6 \\ (x+6)^2\text{ = 51} \\  \end{gathered}

Find the square root of both sides:

\begin{gathered} \sqrt[]{(x+6)^2_{}}=\pm\sqrt[]{51} \\ \text{x  +  6  = }\pm\sqrt[]{51} \\ x\text{  =  -6  }\pm\sqrt[]{51} \\ \text{x  = }-6\pm7.14 \\ x\text{  = -6+7.14  = }1.14 \\ x\text{ = -6 - 7.14} \\ \text{x = -13.14} \end{gathered}

x = -1.14 or -13.14

3 0
1 year ago
Austin drove 455 miles in 7 hours.
Effectus [21]

Answer:

9 hours

Step-by-step explanation:

455/7 gives you the mph

which is 65

then divide 585 miles by the mph (65)

585/65

= 9 hours

3 0
3 years ago
A triangle is translated by using the rule (XY)
dybincka [34]

Answer:

4 units to the right & 1 unit up.

7 0
3 years ago
A map has a scale of 1 in. : 38 ft use the given map distance to find the actual distance
Dvinal [7]

Answer:

for q 19 its x=209ft and for 21 its 66.5 ft i forgot q 20

Step-by-step explanation:

8 0
3 years ago
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