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2 years ago

For what values of x is the inequality 15≥ 5x true? a. x ≥3, b. x ≤ 3, c. x ≥ 1/3 or d. x≤ 1/3

Mathematics

2 answers:

Ann [662]2 years ago

8 0

Answer:

Step-by-step explanation:

15 ≥ 5x

Divide both sides by 5,

3 ≥ x

Rearranging the inequality,

x ≤ 3

eimsori [14]2 years ago

4 0

Answer:

b. x ≤ 3

Step-by-step explanation:

15 ≥ 5x

15 ÷ 5 ≥ x

3 ≥ x

x ≤ 3

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Point T is on line segment \overline{SU} SU . Given ST=2x+6,ST=2x+6, TU=4,TU=4, and SU=4x,SU=4x, determine the numerical length

vazorg [7]

Answer: The numerical length of $\overline{SU}$ is 20 units.

Step-by-step explanation:

Given: Point T is on line segment $\overline{SU}$ .

i.e. $\overline{SU}=\overline{ST}+\overline{TU}$ (i)

Since , it is given that ST=2x+6,TU=4, and SU=4x

Substitute these values in (i), we get

$4x= 2x+6 + 4\\\\\Rightarrow\ 4x-2x=10\\\\\Rightarrow\ 2x=10\\\\\Rightarrow\ x=5$

Now, the numerical length of $\overline{SU}= 4(5)=20\ units$

Hence, the numerical length of $\overline{SU}$ is 20 units.

6 0

3 years ago

Read 2 more answers

What is the answer to 2x3x42dividex3x2

LuckyWell [14K]

Cleary it fits 1 2/3 3/5 more than twice

3 0

3 years ago

<img src="https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Cfrac%7B%282x%2B1%29%28x-5%29%7D%7B%28x-5%29%28x%2B4%29%5E%7B2%7D%20%7D" id

dybincka [34]

i) The given function is

$f(x)=\frac{(2x+1)(x-5)}{(x-5)(x+4)^2}$

The domain is

$(x-5)(x+4)^2\ne 0$

$(x-5)\ne0,(x+4)^2\ne 0$

$x\ne5,x\ne -4$

ii) For vertical asymptotes, we simplify the function to get;

$f(x)=\frac{(2x+1)}{(x+4)^2}$

The vertical asymptote occurs at

$(x+4)^2=0$

$x=-4$

iii) The roots are the x-intercepts of the reduced fraction.

Equate the numerator of the reduced fraction to zero.

$2x+1=0$

$2x=-1$

$x=-\frac{1}{2}$

iv) To find the y-intercept, we substitute $x=0$ into the reduced fraction.

$f(0)=\frac{(2(0)+1)}{(0+4)^2}$

$f(0)=\frac{(1)}{(4)^2}$

$f(0)=\frac{1}{16}$

v) The horizontal asymptote is given by;

$lim_{x\to \infty}\frac{(2x+1)}{(x+4)^2}=0$

The horizontal asymptote is $y=0$ .

vi) The function has a hole at $x-5=0$ .

Thus at $x=5$ .

This is the factor common to both the numerator and the denominator.

vii) The function is a proper rational function.

Proper rational functions do not have oblique asymptotes.

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2 years ago

Determine whether or not the triangles below or similar

Anastaziya [24]

Answer:

i think it is D

Step-by-step explanation:

i hope this helped!

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3 years ago

A Russian blue kitten costs $150 more than Manx kitten 9 blue kittens and 8 Manx kittens costs. Total of 14,100 write down a alg

Dmitriy789 [7]

Answer:

The equations 9x+8y=14100 and x = y+150 are in the simplest form.

Step-by-step explanation:

Given that:

Russian blue kitten costs $150 more than Manx kitten.

Cost of 9 blue kittens and 8 Manx kittens = $14100

Let,

x be the price of one Russian blue kitten.

y be the price of one Manx kitten.

According to given statement;

9x+8y=14100

x = y+150

Hence,

The equations 9x+8y=14100 and x = y+150 are in the simplest form.

5 0

2 years ago