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Rama09 [41]
3 years ago
13

For what values of x is the following expression a real​ number?

TexFormula1" title="\sqrt{x} -4" alt="\sqrt{x} -4" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
IrinaVladis [17]3 years ago
8 0

The square root is defined only for non-negative numbers. In other words, you can compute \sqrt{x} if and only if x \geq 0

If x \geq 0, the square root is a real number, and so is \sqrt{x}-4

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Solve the following equation. 2x - 1 ≤ x 5
wariber [46]

<span><span><span>2x</span>−1</span>≤<span>x5

</span></span>Let's find the critical points of the inequality.

<span><span><span>2x</span>−1</span>=<span>x^5

</span></span><span><span><span><span>2x</span>−1</span>−<span>x^5</span></span>=<span><span>x^5</span>−<span>x^5 </span></span></span>(Subtract x^5 from both sides)

<span><span><span><span>−<span>x^5</span></span>+<span>2x</span></span>−1</span>=0

</span><span><span><span>(<span><span>−x</span>+1</span>)</span><span>(<span><span><span><span><span>x^4</span>+<span>x^3</span></span>+<span>x^2</span></span>+x</span>−1</span>)</span></span>=0  </span>(Factor left side of equation)

<span><span><span><span>−x</span>+1</span>=<span><span><span><span><span><span>0<span> or </span></span><span>x^4</span></span>+<span>x^3</span></span>+<span>x^2</span></span>+x</span>−1</span></span>=0   </span>(Set factors equal to 0)

<span><span><span>x=<span><span>1<span> or </span></span>x</span></span>=<span><span>0.51879<span> or </span></span>x</span></span>=<span>−<span>1.290649</span></span></span>
5 0
3 years ago
If
Fudgin [204]
Triangle DEF hope that helps
4 0
3 years ago
PLZZZZ HELP ASAP PLZZZ
11111nata11111 [884]

Answer:

1. (5x - 2) + (2x - 2) + x = 180^{o}

2. m<J = 113^{o}

3. m<K = 44^{o}

4. m<L = 23^{o}

Step-by-step explanation:

Generally, the sum of angles in a triangle = 180^{o}.

So that;

m<J + m<K + m<L = 180^{o}

(5x - 2) + (2x - 2) + x = 180^{o}

5x + 2x + x -2 -2 = 180^{o}

8x - 4 = 180^{o}

8x = 180^{o} + 4

8x = 184

x = \frac{184}{8}

x = 23^{o}

Thus,

m<J = (5x - 2)

       = 5(23) - 2

       = 113^{o}

m<K = (2x -2)

        = 2(23) - 2

        = 44^{o}

m<L = x

       = 23^{o}

3 0
3 years ago
Match the compound inequalities
kondor19780726 [428]

I one is 8x<24 and -8≤2x-4

Hence x <24/8 =3 and -4≤2x:  divide by positive 2 to get -2≤x

Hence solution is -2≤x<3

Therefore c is the correct matching for 1.

2) 5x-2>13 or -4x≥8  

i.e. 5x>15 or x≤8/(-4) = -2 (since dividing by negative inequality reverses)

Or x>3 or x ≤-2

Hence solution is two regions to the right of 3 excluding 3 and left of -2 including -2.

Graph b is the correct match.

3) -25≤9x+2<20

Subtract 2

-27≤9x<18: Now divide by positive 9

-3≤x<2

Hence graph is the region between -3 and 2 including only -3.

Graph a is correct matching for question 3.

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3 years ago
Rita has a loan of $45,580. This loan has a simple interest rate of 4% per year. What is the amount of interest that Rita will b
k0ka [10]
C multiply 45580 times 4 percent
3 0
3 years ago
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