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3 years ago

Determine the function which corresponds to the given graph. The asymptote is x = -1.

Mathematics

1 answer:

mixas84 [53]3 years ago

4 0

Answer:

y = log(x + 1)

Step-by-step explanation:

Given graph represents a logarithmic graph.

Let the equation of the graph is represented by the logarithmic graph,

y = log(x + b)

This graph passes through origin (0, 0),

For the given point (0, 0),

0 = log(0 + b)

log(1) = log(b)

b = 1

Therefore, the function that corresponds the graph will be,

y = log(x + 1)

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3 years ago

3) x2+ y2 - x + 3y - 42 = 0 X+y=4

REY [17]

The solution is $(-1,5)$ and $(7,-3)$

Step-by-step explanation:

The expression is $x^{2} +y^{2} -x+3y-42=0$ and $x+y=4$

Using substitution method we can solve the expression.

Let us substitute $x=4-y$ in $x^{2} +y^{2} -x+3y-42=0$

$(4-y)^{2} +y^{2} -(4-y)+3y-42=0$

Expanding and simplifying the expression, we get,

$\begin{array}{r}{16-8 y+y^{2}+y^{2}-4+y+3 y-42=0} \\{2 y^{2}-4 y-30=0}\end{array}$

Let us use the quadratic equation formula to solve this equation,

$\begin{aligned}y &=\frac{4 \pm \sqrt{16-4(2)(-30)}}{2(2)} \\&=\frac{4 \pm \sqrt{16+240}}{4} \\&=\frac{4 \pm 16}{4} \\y &=1 \pm 4\end{aligned}$

Thus, $y=5$ and $y=-3$

Substituting y-values in the equation $x+y=4$ , we get the value of x.

For $y=5$ ⇒ $x=4-5=-1$

For $y=-3$ ⇒ $x=4+3=7$

Thus, the solution set is $(-1,5)$ and $(7,-3)$

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3 years ago

A checker board has 64 squares and 32 of them are black.

tankabanditka [31]

50% or 32/64 because 32 is half of 64

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3 years ago

1140 was rounded to the nearest ten. What is the upper bound?

zloy xaker [14]

Answer:

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Step-by-step explanation:

The upper bound is the smallest value that would round up to the next estimated value.

Since the number was rounded to nearest ten, the upper bound is:

1145

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2 years ago