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Nutka1998 [239]
3 years ago
9

The domain for f(x) is all real numbers greater than or equal to ___ ?

Mathematics
2 answers:
Shkiper50 [21]3 years ago
7 0
You must set each part of the function equal to zero.

5√(x+2) = x is greater than or equal to -2

So the domain is greater than or equal to -2
g100num [7]3 years ago
7 0

Answer:

The domain of f(x) is all real numbers greater than or equal to <u>-2</u>

Step-by-step explanation:

We have been given that

f(x)=2(x)^2+5\sqrt{x+2}

Domain is the set of x values for which the function is defined.

The given function is the combination of a square and square root function.

Square function is defined for all real values. Whereas, the square root function is defined for only positive values.

Therefore, the function is defined when

x + 2\geq0

Subtract 2 to both sides

x\geq-2

Hence, the domain of f(x) is all real numbers greater than or equal to <u>-2</u>

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line y = 2x+1 is transformed by a dialation with a scale factor of two and centered at (0,-4). what is the equation of the image
Gekata [30.6K]

Answer: y = 2x + 6

Step-by-step explanation:

Here the equation of line,

y = 2x + 1

y-intercept of the line is, (0, 1)

And, the slope of the line is 2.

Since, If a point (x,y) is dilated by a scale factor k about a point (a,b),

Then transformed point are get by,

(x,y)\rightarrow (k(x-a)+a, k(y-b)+b)

Thus, The transformed point of point (0,1) when dilation is occur by the scale factor 2 about the point (0,-4),

(0,-4)\rightarrow (2(0-0)+0, 2(1+4)-4)

(0,-4)\rightarrow (0, 6)

Thus, the point of the new line is (0,6)

And, the slope of the new line is 2 ( because in the dilation, the slope of the line does not change)

Thus, the equation of new line,

(y - 6) = 2 (x - 0)

y - 6 = 2x

y = 2x + 6


5 0
3 years ago
Cos 35º sin 55° + cos 55° sin 35°
Tresset [83]

Answer:

1

Step-by-step explanation:

CosASinB + SinACosB

Sin(A+B)

Sin(35+55) = Sin(90) = 1

5 0
3 years ago
Read 2 more answers
Find the volume.<br> 12 m<br> 6 m<br> 8 m
Simora [160]

Answer:576

Step-by-step explanation:

Volume is all the sides multiplied together. 12 x 6 x 8=576

7 0
3 years ago
Read 2 more answers
I beg of you to please some-one help..I can't figure this out and it's driving me nuts- I will give Brainlist!
lyudmila [28]

Answer:

<em>A = 70</em>

Step-by-step explanation:

<em>CB </em>is equal to <em>EZ </em>and <em>E </em>equals 35, and <em>E </em>and <em>C </em>are the same, therefore, both <em>E </em>equals 35. Since there's 180 degrees in a triangle, and <em>ABY </em>equals 105, you have to subtract 180 - 105 to get the other angle. When you do that, you get that <em>B </em>equals 75. You have to add <em>E </em>and <em>B</em> (35 + 75), since that's in the same triangle as <em>A. </em>When you do that, you get 110. Subtract 180 - 110 to get <em>A, </em>which is 70.

3 0
3 years ago
4. A safe slope for a ladder is 1 ft of run for every 4 ft of rise. Vincent needs to use a
Ivan

Answer:

5.5 ft

Step-by-step explanation:

because its 4ft for every 1ft there's a ratio of 1:4 so 22 represents the 4 part of the ratio, hence 22 divided by 4 gives us 5.5 on the base

7 0
2 years ago
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