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3 years ago

7

What is the domain of f(x)=(-1)?

1 answer:

Bond [772]3 years ago

7 0

Answer:

All real numbers

Step-by-step explanation: f(x)=-1 means any number we put into the function as x will equal -1. Interval notation (-∝, +∞)

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What is the solution of log2x − 3125 = 3? (1 point)

gladu [14]

We have been asked to find the solution of

${Log_{(2x-3)}}^{125}=3\\ \\ \text{we can re-write after Removing logarithm as below}\\ \\ (2x-3)^3=125\\ \\ (2x-3)^3=5^3\\ \\ \text{Now take cubed root on both the sides we get}\\ \\ 2x-3=5\\ \\ \text{Add 3 on both the sides we get}\\ \\ 2x=8\\ \\ \text{Divide both the sides by 2 we get}\\ \\ x=4$

3 0

3 years ago

A package of dental floss has 175 m of floss. Dr.Pierre bought 150 packages to give to his patients. How many metres of dental f

grandymaker [24]

The total length of the dental floss in 150 packages will be 26250 meters.

<u><em>Explanation</em></u>

A package of dental floss has 175 m of floss.

Suppose, the number of meters of dental floss in 150 packages is $x$

So, the equation according to the <u>ratio of "number of packages" to "dental floss"</u> will be.....

$\frac{1}{175}=\frac{150}{x}\\ \\ x= 175*150=26250$

So, the total length of the dental floss in 150 packages will be 26250 meters.

3 0

3 years ago

2s + 4 = 20<br><br> s = what

Sever21 [200]

The answer is 8 you’re welcome :)

3 0

3 years ago

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What is the slope intercept equation of the line below. Y-intercept=(0,2) slope=3/4

Alenkasestr [34]

Answer:

y = 3/4x +2

Step-by-step explanation:

The slope intercept form of an equation is

y = mx+b

where m is the slope and b is the y intercept

Y-intercept=(0,2) slope=3/4

y = 3/4x +2

6 0

3 years ago

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Assume that u⋅v=4, ‖u‖=5, and ‖v‖=3. What is the value of 4u⋅(4u−7v)?

shutvik [7]

Step-by-step explanation:

It is given that,

$u{\cdot}v=4\\\\|u|=5\\\\|v|=3$

We need to find the value of $4u{\cdot} (4u-7v)$

Firstly, we should simplify $4u{\cdot} (4u-7v)$

$4u{\cdot} (4u-7v)=4u{\cdot} 4u-4u{\cdot} 7v$

Now using distributive property : x(y-z)=xy-yz

So,

$4u{\cdot} (4u-7v)=4u{\cdot} 4u-4u{\cdot} 7v\\\\=16u{\cdot}u-28{u{\cdot} v}\\\\=16|u|^2-28(u{\cdot}v)\\\\=16\times 5^2-28\times 4\\\\=288$

So, the value of $4u{\cdot} (4u-7v)$ is 288.

4 0

3 years ago