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3 years ago

What is the equation of the line that has a slope of -3 and passes through the point (4,-2)

Mathematics

1 answer:

sukhopar [10]3 years ago

3 0

Slope-intercept form:

y = mx + b

"m" is the slope, "b" is the y-intercept (the y value when x = 0 or (0,y))

You know m = -3, so you can plug it into the equation

y = mx + b

y = -3x + b

To find "b", plug in the point (4,-2) into the equation

y = -3x + b

-2 = -3(4) + b

-2 = -12 + b Add 12 on both sides

10 = b

y = -3x + 10 Your answer is B

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If f(x) = (1/9)(9^x) what is f(3)

TiliK225 [7]

Answer: The required value of f(3) is 81.

Step-by-step explanation: We are given the following function :

$f(x)=\left(\dfrac{1}{9}\right)9^x~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

We are to find the value of f(3).

Substituting x = 3 in equation (i), we get

$f(3)\\\\\\=\left(\dfrac{1}{9}\right)\times9^3\\\\=9^2\\\\=81.$

Thus, the required value of f(3) is 81.

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3 years ago

Read 2 more answers

For any perfect square trinomial (quadratic), the constant term (last term) must be positive.

Ronch [10]

Answer:

For the perfect square trinomial (quadratic) i.e. $\left(x\:+\:3\right)^2$ , the constant term (last term) is positive.

Step-by-step explanation:

"Perfect square trinomials" are termed as the quadratics that are the outcomes of squaring binomials.

For example:

$\left(x\:+\:3\right)^2$

$\mathrm{Apply\:Perfect\:Square\:Formula}:\quad \left(a+b\right)^2=a^2+2ab+b^2$

$a=x,\:\:b=3$

$=x^2+2x\cdot \:3+3^2$

$=x^2+6x+9$

Therefore, for the perfect square trinomial (quadratic) i.e. $\left(x\:+\:3\right)^2$ , the constant term (last term) is positive.

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3 years ago

The sum of X and 3/4 is greater than 1 1/4. Drag point X above one possible value for X.

GrogVix [38]

X + 3/4 > 11/4
X > 8/4
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So make a rectangle that extends from 2 and above

In inequalities normal athematic are used the only difference is that you flip the operator when dividing over -1 or taking inverse

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3 years ago

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Kryger [21]

Answer:

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2 years ago

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denis-greek [22]

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3 years ago