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3 years ago

What is the domain of f(x)= 3squareroot x?

Mathematics

2 answers:

Vinvika [58]3 years ago

7 0

Answer: Domain: x ≥ 0 Interval Notation: x = [0, ∞)

Step-by-step explanation:

f(x) = 3√x

There IS a restriction on x because it is inside the square root symbol.

In order for the radical to be a real number, the expression under the radical must be greater than or equal to 0. The value inside the radical is "x".

So, x ≥ 0 It is already solved for x so no further work is needed.

Andru [333]3 years ago

5 0

Answer:

x is greater than or equal to 0

Step-by-step explanation:

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How many grams of a 15 percent alcohol solution should be mixed with 40 grams of a 30 percent solution to obtain a

Akimi4 [234]

The number of grams is 20 grams

Let x represent how many grams of a 15 percent alcohol solution

15%x+30%.40/x+40

=25%

0.15x+0.4.30=0.25 (x+40)

0.15x+12=0.25x+10

0.15x-0.25x=10+12

-0.1x=-2

x=-2/-0.1

x=20

Inconclusion The number of grams is 20 grams

Learn more here:

brainly.com/question/24750329

4 0

2 years ago

There is a triangle with a perimeter of 63 cm, one side of which is 21 cm. Also, one of the medians is perpendicular to one of t

NemiM [27]

Answer:

21cm; 28cm; 14cm

Step-by-step explanation:

There is no info in the problem/s text which one of the triangle's side is 21 cm. That is why we have to try all possible variants.

Let the triangle is ABC . Let the AK is the angle A bisector and BM is median.

Let O is AK and BM cross point.

Have a look to triangle ABM. AO is the bisector and AOB=AOM=90 degrees (means that AO is as bisector as altitude)

=> triangle ABM is isosceles => AB=AM (1)

1. Let AC=21 So AM=21/2=10.5 cm

So AB=10.5 cm as well. So BC= P-AB-AC=63-21-10.5=31.5 cm

Such triangle doesn' t exist ( is impossible), because the triangle's inequality doesn't fulfill. AB+AC>BC ( We have 21+10.5=31.5 => AB+AC=BC)

2. Let AB=21 So AM=21 and AC=42 .So BC= P-AB-AC=63-21-42=0 cm- such triangle doesn't exist.

3. Finally let BC=21 cm. So AB+AC= 63-21=42 cm

We know (1) that AB=AM so AC=2*AB. So AB+AC=AB+2*AB=3*AB

=>3*AB=42=> AB=14 cm => AC=2*14=28 cm.

Let check if this triangle exists ( if the triangle's inequality fulfills).

BC+AB>AC 21+14>28 - correct=> the triangle with the sides' length 21cm,14 cm, 28cm exists.

This variant is the only possible solution of the given problem.

6 0

3 years ago

1. What are two other ways you could rewrite 50%?

NNADVOKAT [17]

0.5 is the first way

1/2 is the second way

50% is the third way.

Hope that helps bud :).

8 0

2 years ago

100 BRAINLY POINTS!!!

BARSIC [14]

Answer:

C) $y=-0.5x+8$

Step-by-step explanation:

Line of best fit (trendline) : a line through a scatter plot of data points that best expresses the relationship between those points.

All the given options for the line of best fit are linear equations.

Therefore, we can add the line of best fit to the graph (see attached), remembering to have roughly the same number of points above and below the line.

Linear equation: $y=mx+b$

(where $m$ is the slope and $b$ is the y-intercept)

From inspection of the line of best fit, we can see that the y-intercept (where x = 0) is approximately 8. So this suggests that options C or D are the solution.

We can also see that the slope (gradient) of the line of best fit is approximately -0.5 (as the rate of change (y/x) is -1 unit of y for every +2 units of x).

Therefore, C is the solution, and the closet approximation to the line of best fit is $y=-0.5x+8$

4 0

2 years ago

Heather bought a CD on sale for $11 and a book that cost $14 the sales tax rate is 5% how much tax did Heather pay for both item

Travka [436]

Add 11 and 14 = 25. Then change 5% to a decimal or .05. 25 x .05= $1.25 this is the tax. Add $25 to $1.25. Answer is $26.25

3 0

3 years ago