3 years ago

Graph the inequality below on the number line. x ≥ -9

Mathematics

2 answers:

solmaris [256]3 years ago

8 0

<-----------------------●-->

1-2-3-4-5-6-7-8-9

go to the right

Pavel [41]3 years ago

4 0

Answer:

-9------------> (the circle would be filled in, too)

____._____

Step-by-step explanation:

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yaroslaw [1]

The answer is A because you have to use the process of substitution

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3 years ago

[Quick Answer Needed] Which of the following shows the extraneous solution to the logarithmic equation?

Nitella [24]

Answer:

Step-by-step explanation:

Given the logarithmic equation

$\log_4x+\log_4(x-3)=\log_4(-7x+21)$

First, notice that

$x>0\\ \\x-3>0\Rightarrow x>3\\ \\-7x+21>0\Rightarrow 7x$

So, there is no possible solutions, all possible solutions will be extraneous.

Solve the equation:

$\log_4x+\log_4(x-3)=\log_4x(x-3),$

then

$\log_4x(x-3)=\log_4(-7x+21)\\ \\x(x-3)=-7x+21\\ \\x^2-3x+7x-21=0\\ \\x^2+4x-21=0\\ \\D=4^2-4\cdot 1\cdot (-21)=16+84=100\\ \\x_{1,2}=\dfrac{-4\pm 10}{2}=-7,\ 3$

Hence, $x=3$ and $x=-7$ are extraneous solutions

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3 years ago

A bank's loan officer rates applicants using their FICO credit score. The ratings are normally distributed with a mean of 711 an

tekilochka [14]

Answer:

The answer is "778"

Step-by-step explanation:

Given value:

$\to \mu= 711\\\\\to \sigma= 80\\\\\to P(Z >0.84) = 0.20\\\\\to z = 0.84$

The formula for z-score:

$\to x = z \times \sigma + \mu \\\\\to x = 0.84 \times 80 + 711 \\\\ \to x=67.2 +711\\\\ \to x= 778.2\\\\ \to x= 778$

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3 years ago

there are 5 billiard balls in a velvet bag. three of the balls are striped and the other 2 are solid what's the probability of p

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$|\Omega|=5\\ |A|=3\\\\ P(A)=\dfrac{3}{5}$

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3 years ago

What is the vertex of the function (X) = -x + 71 - 4?

4vir4ik [10]

Answer:

Step-by-step explanation:

f(x) = -x + 71 - 4 is a straight line. It does not have a vertex.

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3 years ago