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2 years ago

Which graph represents the function f(x) = -|x+3|?

Mathematics

2 answers:

fenix001 [56]2 years ago

6 0

Answer:

Step-by-step explanation:

its the first one.

Fofino [41]2 years ago

5 0

The last one is correct

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What value of a makes the equation true? 1.7a+0.3a=4/5 btw 4/5 is a fraction

andreyandreev [35.5K]

1.7a + 0.3a = 0.8;
(1.7 + 0.3)a = 0.8;
2 x a = 0.8;
a = 0.8 ÷2;
a = 0.4;

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2 years ago

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Answer:

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Step-by-step explanation:

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2 years ago

Find the equation of the following ellipse based on the following information: Vertices: (-2,0), (2,0) minor axis of length 2

Sav [38]

Answer:

The expression of the ellipse is: $\frac{x^2}{4} + y^2 = 1$

Step-by-step explanation:

The equation of a ellipse can be written by the following expression:

$\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1$

Where 2a is the length of the major axis and 2b is the length of the minor axi. Since we were given the length of the minor vertex, then:

$2b = 2\\b = 1$

The length of the major axis is the distance between the two vertices.

$2a = \sqrt{[2 - (-2)]^2}\\2a = \sqrt{(2 + 2)^2}\\2a = \sqrt{4^2}\\2a = 4\\a = 2$

Therefore the expression of the ellipse is:

$\frac{x^2}{2^2} + \frac{y^2}{1^2} = 1\\\\\frac{x^2}{4} + y^2 = 1$

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2 years ago

Choose the solutions of the following systems of equations x^2+y^2=6 and x^2-y=6

den301095 [7]

Answer:

The solutions are (-√6,0) and (√6,0)

(-√5,-1) and (√5,-1)

Step-by-step explanation:

The equations are:

${x}^{2} + {y}^{2} = 6$

and

${x}^{2} - y = 6$

We make y the subject in the second equation to get;

$y = {x}^{2} - 6$

We substitute into the first equation to get:

${x}^{2} + ({x}^{2} - 6 )^2= 6$

$x = \pm \sqrt{6}$

and $x = \pm \sqrt{5}$

The solutions are (-√6,0) and (√6,0)

(-√5,-1) and (√5,-1)

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2 years ago

If A = 4x2 + 9x - 5 and B = 6x2 – 3x - 9, then A - B equals

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Answer:

1 I think I'm not 100% sure though

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2 years ago