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elena-s [515]
3 years ago
15

Create a unique parabola in the pattern f(x) = (x − a)(x − b)

Mathematics
1 answer:
MissTica3 years ago
5 0

Answer:

f(x)=(x-6)(x-(-7))

Step-by-step explanation:

Foiled:

0 = x + x - 42

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Use quadratic formula solve .7x^2 - 28x - 7​
beks73 [17]

Answer:

x = 2 + sqrt(5) or x = 2 - sqrt(5)

Step-by-step explanation using the quadratic formula:

Solve for x over the real numbers:

7 (x^2 - 4 x - 1) = 0

Divide both sides by 7:

x^2 - 4 x - 1 = 0

Add 1 to both sides:

x^2 - 4 x = 1

Add 4 to both sides:

x^2 - 4 x + 4 = 5

Write the left hand side as a square:

(x - 2)^2 = 5

Take the square root of both sides:

x - 2 = sqrt(5) or x - 2 = -sqrt(5)

Add 2 to both sides:

x = 2 + sqrt(5) or x - 2 = -sqrt(5)

Add 2 to both sides:

Answer:  x = 2 + sqrt(5) or x = 2 - sqrt(5)

6 0
3 years ago
Triangle MNO is rotated 180 using the origin as the center of rotation .Which sequence of transformations will produce the same
stiks02 [169]

180° rotation about the origin changes the signs of the coordinates.

(x, y) → (-x, -y)

It is a reflection over the y-axis and a reflection over the x-axis (in either order).

<em>You did not provide the options so hopefully you can figure out the answer based on the information I provided.</em>


5 0
3 years ago
Read 2 more answers
Graph the linear equation y=-1/5x+3​
adoni [48]

Answer:

ur answer is a

4 0
3 years ago
Read 2 more answers
5. The dimensions, in inches, of a shipping box at We Ship 4 You can be expressed as width x, length x + 5, and height 3x - 1. T
meriva
The volume of a cuboid is given by length × width × height

We have:

Volume = 7.6 ft³
Height = 3x - 1
Length = x + 5
Width = x

Substituting these into the formula, we have:

7.6 = (3x - 1) (x + 5) (x)
7.6 = [3x² + 15x - x - 5] (x)
7.6 = [3x² + 14x - 5](x)
7.6 = 3x³ + 14x² - 5x
0 = 3x³ + 14x² - 5x - 7.6

Drawing the graph is one way of finding the solution (refer to the graph below):

We have three solutions (where the curve crosses the x-axis):
x = -4.9
x = -0.6
x = 0.8

Putting these solutions back into the context, since we are looking for the value of x which is part of measurement of length, we cannot have negative value, so we will take the value of x = 0.8 ft

Converting  0.8 ft into inches = 0.8 × 12 inches = 9.6 inches

Answer: x = 9.6 inches

7 0
3 years ago
Erin’s car uses 6 gallons of gas for every 138 miles she drives. Which equation could be used to find how many gallons,g, Erin n
alina1380 [7]

Answer:

g = 6 / 3 x 2

Step-by-step explanation:

g = 6 / 3 x 2 because 92 / 2 = 46. 46 x 3 = 138. so / 3 = 46 x 2 = 92

3 0
1 year ago
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