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4 years ago

What inequality represents the sentence below? The product of a number and 5 is no more than 8.

2 answers:

8 0

5x<=8

5x is the product of an unknown number and 5 and that could be less than or equal to 8. It should be the symbol that is on top of each other but I can't type that here.

Hope that helps.

ExtremeBDS [4]4 years ago

5 0

N times 5 > 8. > should have a line underneath it

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GIVING 50 PTS PLS HELP ITS FOR A TEST LAST QUESTION

Ipatiy [6.2K]

Answer:

Alright I think it's Artur, Caleb, Joshua, then Trio.

Step-by-step explanation:

Artur has the highest score when I added and then caleb then joshua then trio had the lowest score wait until someone else answers this time please!!!

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3 years ago

Read 2 more answers

Consider the planes 4x+3y+4z=1 and 4x+4z=0. (A) Find the unique point P on the y−axis which is on both planes. ( 0 equation edit

Nana76 [90]

Answer:

Step-by-step explanation:

A) From the order of the exercise we already know that the intersection points lies on the Y-axis, so its coordinates are P(0;y;0). In order to find it, we only need to substitute the equation 4x+4z=0 into the equation 4x+3y+4z=1. Then,

1=4x+3y+4z = 3y + (4x+4z)= 3y+0.

From the expression above it is easy to obtain that y=1/3, and the intersection point is P(0;1/3;0).

B) To obtain the parallel vector to both planes we use the cross product of the normal vector of the planes.

$\left[\begin{array}{ccc}i&j&k\\4&3&4\\4&0&4\end{array}\right] = 12i-0j+12k$

As we want a unit vector, we must calculate the modulus of u:

$|u|=\sqrt{12^2+0^2+12^2} = \sqrt{2\cdot 12^2}=12\sqrt{2}$ .

Thus, the wanted vector is $\frac{u}{12\sqrt{2}}$ . Therefore,

$u = \frac{1}{\sqrt{2}}i-\frac{1}{\sqrt{2}}k = \frac{\sqrt{2}}{2}i-\frac{\sqrt{2}}{2}k$ .

C) In order to obtain the vector equation of the intersection line of both planes, we just need to put together the above results.

$r = \frac{1}{3}j +\lambda \left( \frac{\sqrt{2}}{2}i- \frac{\sqrt{2}}{2}k \right)$

where $\lambda$ is a real number.

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4 years ago

One coin in a collection of 65 has two heads. The rest are fair. If a coin, chosen at random from the lot and then tossed, turns

geniusboy [140]

Answer:

P=1/65.

Step-by-step explanation:

We knaow that one coin in a collection of 65 has two heads. If a coin, chosen at random from the lot and then tossed, turns up heads 6 times in a row. We calculate the probability that it is the two-headed coin.

We calculate the number of possible combinations:

$C_1^{65}=\frac{65!}{1!(65-1)!}=65$

Number of favorable combinations is 1.

Therefore, the probability is

P=1/65.

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3 years ago

Nicole is working two summer jobs, making $10 per hour babysitting and making $20 per hour tutoring. In a given week, she can wo

ryzh [129]

Answer:

she needs to work at least 12 hours tutoring,

Step-by-step explanation:

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3 years ago

Given f(x) = 1/x+4 and <br> g(x) = 8/x-1, find the given domain of f(g(x)).

Artemon [7]

Answer:

he domain of the composition is all real x values except for x = -1

In other words: $\left \{ x \, |\, x \neq -1} \right \}$

Step-by-step explanation:

Let's find the composition $f(g(x))$ in order to answer about its domain (where on the Real number set the function is defined), give the two functions:

$f(x)= \frac{1}{x+4}$ and $g(x)=\frac{8}{x-1}$ :

$f(g(x))=\frac{1}{g(x)+4} \\f(g(x))=\frac{1}{\frac{8}{x-1} +4} \\f(g(x))=\frac{1}{\frac{8+4(x-1)}{x-1} }\\f(g(x))=\frac{x-1}{8+4x-4} \\f(g(x))=\frac{x-1}{4+4x} \\$

This rational function is defined for every real number except when the denominator adopts the value zero. Such happens when:

$4+4x=0\\4x=-4\\x=-1$

So the domain of the composition is all real x values except for x = -1

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3 years ago