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never [62]
2 years ago
9

Identify the zero(s) of

x)=4x^{2} - 20x - 56" alt="f(x)=4x^{2} - 20x - 56" align="absmiddle" class="latex-formula">. -- Urgent 10 minutes! Many points!
Mathematics
1 answer:
AURORKA [14]2 years ago
5 0

Answer:

x = - 2, x = 7

Step-by-step explanation:

Given

f(x) = 4x² - 20x - 56

To find the zeros let f(x) = 0, that is

4x² - 20x - 56 = 0 ( divide through by 4 )

x² - 5x - 14 = 0 ← in standard form

(x - 7)(x + 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

x - 7 = 0 ⇒ x = 7

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Find the side lengths of the triangle in this picture.​
ozzi

Answer:

Hypotenuse: 41 meters, Long leg: 40 meters, Short leg: 9 meters.

Step-by-step explanation:

According to the statement, we have the following information about the lengths of the right triangle:

Hypotenuse

3\cdot x + 14

Long leg

3\cdot x + 13

Short leg

x

By the Pythagoric Theorem, we have the following expression:

(3\cdot x + 14)^{2} = x^{2} + (3\cdot x + 13)^{2} (1)

9\cdot x^{2}+84\cdot x + 196 = x^{2} + 9\cdot x^{2} + 78\cdot x + 169

9\cdot x^{2} + 84\cdot x + 196 = 10\cdot x^{2} + 78\cdot x +169

x^{2} -6\cdot x -27 = 0

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As length is a positive variable by nature, then the only possible solution is x = 9. Lastly, the side lengths of the right triangle are:

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8 0
2 years ago
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Annette [7]

Answer:

The graph of f(x) has exactly two x-intercepts not true.

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Hope this helps!

8 0
3 years ago
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Determine the intercepts of the line.
vredina [299]

Screenshot:

y intercept = 0 , 2.5

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What is the solution to the quadratic equation x2 + x - 30 = 0?
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Step-by-step explanation:

3 0
3 years ago
PLEASE HELP ME
asambeis [7]
For the equation y - x < 0,
y < x
The shaded portion will be under the dashed line joining points (-2, -2) and (3, 3).

for the equation x - 1 > 0,
x > 1
The shaded portion will be to the right of the dashed line joining points (1, 5) and (1, -3).

The portion affected by the two shadings will be the portion common to the right of the dashed line joining points (1, 5) and (1, -3) and under the dashed line joining points (-2, -2) and (3, 3).
Therefore the correct answer is option c.
3 0
3 years ago
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