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3 years ago

Write the word sentence as an inequality. Then solve the inequality. Six times a number x is at least −24.

Mathematics

2 answers:

Wittaler [7]3 years ago

5 0

Answer:

6x ≥ -24

Step-by-step explanation:

6 times a number x can be written as 6x, and at least means greater than or equal to.

balandron [24]3 years ago

4 0

Answer:

The inequality is: 6x≥-24

The solution of this inequality is: x≥-4

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What is the solution to the compound inequality in interval notation?

ohaa [14]

The given compound inequality is

$2(x+3)>6 \ or \ 2x+3\leq -7$

First we solve the first inequality,

$2(x+3)>6
\\
x+3 >3
\\
x>0$

Now we solve the second inequality

$2x+3\leq -7
\\
2x \leq -7-3
\\
2x\leq -10
\\
x\leq -5$

So we have

$x > 0 \ or \ x\leq -5$

So the required solution is

$( - \infty,-5] \ or \ (0, \infty)$

Correct option is A .

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3 years ago

What is the domain (in interval notation) of the following functions?

alexgriva [62]

$1.\\g(x)=\frac{3}{5x-4}\\\\D:5x-4\neq0\to5x\neq4\ \ \ /:5\to x\neq\frac{4}{5}\to x\in\mathbb{R}\ \backslash\ \{\frac{4}{5}\}\\\\2.\\h(x)=\frac{\sqrt{x}}{x-5}\\\\D:x\geq0\ \wedge\ x-5\neq0\to x\geq0\ \wedge\ x\neq5\to x\in\left$

$3.\\f(x)=\frac{\sqrt{x}}{x^2-5x}\\\\D:x\geq0\ \wedge\ x^2-5x\neq0\to x\geq0\ \wedge\ x(x-5)\neq0\\\\\to x\geq0\ \wedge\ x\neq0\ \wedge\ x\neq5\to x\in\mathbb{R^+}\ \backslash\ \{5\}\\\\4.\\g(x)=\frac{\sqrt{x}+5}{x^2-x-20}\\\\D:x\geq0\ \wedge\ x^2-x-20\neq0\to x\geq0\ \wedge\ (x+4)(x-5)\neq0\\\\\to x\geq0\ \wedge\ x\neq-4\ \wedge\ x\neq5\to x\in\left$

$5.\\h(x)=\frac{3}{x^2+1}\\\\D:x^2+1\neq0\to x^2\neq-1\to x\in\mathbb{R}\\\\6.\\f(x)=\frac{\sqrt{x-2}}{x+1}\\\\D:x-2\geq0\ \wedge\ x+1\neq0\to x\geq2\ \wedge\ x\neq-1\to x\in\left$

$7.\\g(x)=\frac{x^2}{3x^2-x-2}\\\\D:3x^2-x-2\neq0\to (3x+2)(x-1)\neq0\to x\neq-\frac{2}{3}\ \wedge\ x\neq1\\\\\to x\in\mathbb{R}\ \backslash\ \{-\frac{2}{3};\ 1\}\\\\8.\\h(x)=3(x-4)^2-7\\\\D:x\in\mathbb{R}$

4 0

3 years ago

Can someone help me please?

Rainbow [258]

Answer:

the first option is correct

since value of a will be found through division.

7 0

2 years ago

Read 2 more answers

Evaluate the function when x=-1 g (x) = 3x square 2 + 1 ?

finlep [7]

Answer:

Step-by-step explanation:

X = -1 so, we have:

3·1² + 1

3² + 1

9 + 1

5 0

3 years ago

cartons of juice boes come in packages of 3. ms ford has 2 juices left for school lunches. if ms ford buys 5 packages of juice b

Andrews [41]

Well 1 package=3, so if she buys 5 packages it's 5*3=15. She still has 2 left so you take 15+2=17. She will have 17 juice boxes in total.

6 0

3 years ago