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Bond [772]
2 years ago
13

The graphs below have the same shape. What is the equation of the red

Mathematics
2 answers:
anyanavicka [17]2 years ago
8 0

Answer:

Option B is correct .

Step-by-step explanation:

According to Question , both the graph have same shape . If we look at the the first graph it cuts x - axis at (0 , 2) and ( 0 , -2) . Hence x = 2 and -2 are the zeroes of the equation .

And ,the given function is ,

\implies f(x) = 4 - x^2 \\\\\implies f(x) = 4-x^2=0 \\\\\implies 2^2-x^2=0\\\\\implies (2-x)(2+x) = 0 \\\\\boxed{\red{\bf \implies x = 2 , (-2) }}

<u>Hence ,we can can see that x = </u><u> </u><u>2</u><u> </u><u>and</u><u> </u><u>(</u><u>-</u><u>2</u><u>)</u><u> </u><u>are</u><u> </u><u>the</u><u> </u><u>zeroes </u><u>of </u><u>graph</u><u>. </u><u> </u>

This implies that if we know the zeroes , we can frame the Equation.

On looking at second parabola , it's clear that cuts x - axis at ( 1, 0 ) and (-1,0). So , 1 and -1 are the zeroes of the quadratic equation . Let the function be g(x) . Here , a and ß are the zeroes.

\implies g(x) = (x-\alpha)(x-\beta) \\\\\implies g(x) = (1+x)(1-x) \\\\\boxed{\pink{\bf \implies g(x) = 1 - x^2}}

<u>Hence </u><u>option </u><u>B</u><u> </u><u>is</u><u> </u><u>corre</u><u>ct</u><u> </u><u>.</u>

umka2103 [35]2 years ago
3 0

Answer:

O B. g(x) = 1 - x^2

Step-by-step explanation:

Since the function in the graph is headed downwards, we know the portion of x^{2} is negative. And since the highest point of the red line on the y-axis is 1, we can conclude the function represented by the red line is 1 - x^2.

Hope this helped!

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4(9-x)6-6(4-7x)&gt;5(1-2x)-8x+9(6-x)
Kazeer [188]

Answer:

x > 133/45

WORKING :

Multiply the number : 4 . 6 = 24

24(9-x) - 6 (4 - 7x) > 5 (1 - 2x) - 8x + 9 (6-x)

expand 24(9 - x) - 6(4 -7x) : 18x + 192

expand 5(1-2x) - 8x + 9(6-x) : - 27x + 59

18x + 192 > -27x + 59

subtract 192 from both sides

18x + 192 - 192 > -27x + 59 - 192

simplify

18x > -27x - 133

add 27x to both sides

18x + 27x > - 27x - 133 + 27x

simplify

45x > - 133

Divide both sides by 45

45x/45 > 133/45

Simplify

x > 133/45

FINALLY ANSWER :

X > 133/45

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2 years ago
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Find the distance between P1(1, -91°) and P2(3, 335°) on the polar plane.
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Answer:

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Step-by-step explanation:

Use the polar distance formula:

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Answer:

1) x= -36.

2) x = 0.

Step-by-step explanation:

1) Taking the 3rd power to both sides and using the following exponent law:

\left(a^b\right)^c = a^{bc}

we get:

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So this tells us that x = -36.

2) We can distribute the power inside every term. So the left side becomes:

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Now, the trick here is to remember that y^0 = 1, so replacing 1 with y^0, which then gives us:

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