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Sophie [7]
3 years ago
8

Larry graphs the inequality x less-than negative 5 using the steps below. Step 1: Draw a number line, and place an open circle a

t –5. A number line going from negative 10 to 0. An open circle is at negative 5. Step 2: Shade to the left of –5 to represent less than –5. A number line going from negative 10 to 0. An open circle is at negative 5. Everything to the left of the circle is shaded. Step 3: Check work by substitution. x = negative 5 Negative 5 less-than negative 5 False Larry concludes that he must have shaded the number line in the wrong direction. Which best describes the situation? Larry’s graph is incorrect. He should have used a closed circle at –5. Larry’s graph is incorrect. He should have shaded to the right of –5 because the numbers less than –5 are to the right of –5. Larry’s graph is correct. He should have checked his work using a number to the left of –5. Larry’s graph is correct. He should have checked his work using a number to the right of –5.
Mathematics
2 answers:
Yakvenalex [24]3 years ago
5 0

Answer:

<h2>YOUR CORRECT ANSWER'S (D.)</h2>

Step-by-step explanation:

nataly862011 [7]3 years ago
5 0

Answer:

<h2>d</h2>

Step-by-step explanation:

<h3><u>i took the test</u></h3>
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Dvinal [7]

Answer:

x is 4

Step-by-step explanation:

{ \bf{(x + 6) : x = 5 :2 }} \\  { \tt{ \frac{(x + 6)}{x}  =  \frac{5}{2} }} \\  \\ { \tt{5x = 2(x + 6)}} \\   { \tt{5x = 2x + 12}} \\ { \tt{3x = 12}} \\ { \tt{x = 4}}

5 0
2 years ago
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What is the substitution should be used to rewrite x^8 -3x^4 + 2 =0
fenix001 [56]
Get into ax²+bx+c=0 form

subsitute u=x⁴

x⁸-3x⁴+2=0
(x⁴)²-3(x⁴)+2=0
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factor
(u-2)(u-1)=0
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u-2=0
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u-1=0
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wait, u=x⁴

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the subsitution is u=x⁴
and the possible values for x are -1, \sqrt[4]{2}=x, and 1
7 0
3 years ago
2 ACTIVITY: Estimating a Percents
meriva

Answer: 45%

Step-by-step explanation:

Converting the word problem into words, we have:

18= x/100*40

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7 0
2 years ago
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What geographical information was used in alloying the first three digits of social security numbers to the state
Gala2k [10]
Since 1973, social security numbers have been issued by our central office. The first three (3) digits of a person's social security number are determined by the ZIP Code of the mailing address shown on the application for a social security number. Prior to 1973, social security numbers were assigned by our field offices. The number merely established that his/her card was issued by one of our offices in that State. See also High Group List<span> of SSN's.</span>
5 0
3 years ago
Choose the best coordinate system to find the volume of the portion of the solid sphere rho &lt;_4 that lies between the cones φ
MrRissso [65]

Answer:

So,  the volume is:

\boxed{V=\frac{128\sqrt{2}\pi}{3}}

Step-by-step explanation:

We get the limits of integration:

R=\left\lbrace(\rho, \varphi, \theta):\, 0\leq \rho \leq  4,\, \frac{\pi}{4}\leq \varphi\leq \frac{3\pi}{4},\, 0\leq \theta \leq 2\pi\right\rbrace

We use the spherical coordinates and  we calculate a triple integral:

V=\int_0^{2\pi}\int_{\frac{\pi}{4}}^{\frac{3\pi}{4}}\int_0^4  \rho^2 \sin \varphi \, d\rho\, d\varphi\, d\theta\\\\V=\int_0^{2\pi}\int_{\frac{\pi}{4}}^{\frac{3\pi}{4}} \sin \varphi \left[\frac{\rho^3}{3}\right]_0^4\, d\varphi\, d\theta\\\\V=\int_0^{2\pi}\int_{\frac{\pi}{4}}^{\frac{3\pi}{4}} \sin \varphi \cdot \frac{64}{3} \, d\varphi\, d\theta\\\\V=\frac{64}{3} \int_0^{2\pi} [-\cos \varphi]_{\frac{\pi}{4}}^{\frac{3\pi}{4}}  \, d\theta\\\\V=\frac{64}{3} \int_0^{2\pi} \sqrt{2} \, d\theta\\\\

we get:

V=\frac{64}{3} \int_0^{2\pi} \sqrt{2} \, d\theta\\\\V=\frac{64\sqrt{2}}{3}\cdot[\theta]_0^{2\pi}\\\\V=\frac{128\sqrt{2}\pi}{3}

So,  the volume is:

\boxed{V=\frac{128\sqrt{2}\pi}{3}}

4 0
2 years ago
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