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nlexa [21]
3 years ago
10

Please help thank you :)

Mathematics
1 answer:
Alla [95]3 years ago
4 0

Answer:

80%. Eighty percent of them

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F(x) = <img src="https://tex.z-dn.net/?f=%5Csqrt%7Bx%2B7%7D%20-%5Csqrt%7Bx%5E2%2B2x-15%7D" id="TexFormula1" title="\sqrt{x+7} -\
elena-s [515]

Answer:

x >= -7  ................(1a)

x >= 3   ...............(2a1)

Step-by-step explanation:

f(x) =  \sqrt{x+7}-\sqrt{x^2+2x-15}  .............(0)

find the domain.

To find the (real) domain, we need to ensure that each term remains a real number.

which means the following conditions must be met

x+7 >= 0  .....................(1)

AND

x^2+2x-15 >= 0 ..........(2)

To satisfy (1),  x >= -7  .....................(1a) by transposition of (1)

To satisfy (2), we need first to find the roots of (2)

factor (2)

(x+5)(x-3) >= 0

This implis

(x+5) >= 0 AND (x-3) >= 0.....................(2a)

OR

(x+5) <= 0 AND (x-3) <= 0 ...................(2b)

(2a) is satisfied with x >= 3   ...............(2a1)

(2b) is satisfied with x <= -5 ................(2b1)

Combine the conditions (1a), (2a1), and (2b1),

x >= -7  ................(1a)

AND

(

x >= 3   ...............(2a1)

OR

x <= -5 ................(2b1)

)

which expands to

(1a) and (2a1)   OR  (1a) and (2b1)

( x >= -7 and x >= 3 )  OR ( x >= -7 and x <= -5 )

Simplifying, we have

x >= 3  OR ( -7 <= x <= -5 )

Referring to attached figure, the domain is indicated in dark (purple), the red-brown and white regions satisfiy only one of the two conditions.

3 0
3 years ago
Read 2 more answers
A sphere with center A is shown. Which represents a radius?
Lunna [17]
A because radius is half of the diameter
5 0
3 years ago
Read 2 more answers
20 POINTS AND BRAINLIEST!! Write an exponential function in the form y=ab^x
Rudik [331]

Answer:

y=13(4)^x

Step-by-step explanation:

We have the exponential function of the form:

y=ab^x

And it goes through the points (0, 13) and (3, 832).

Hence, when we substitute in 0 for x, we should get 13 for y. Therefore:

13=ab^0

Since anything to the zeroth power is 1, this yields:

a=13

So, we determined that the value of a is 13.

So, our function is now:

y=13b^x

We will need to determine b. We know that y equals 832 when x is 3. Hence:

832=13(b)^3

Divide both sides by 13:

b^3=64

Take the cube root of both sides:

b=4

Hence, our b value is 4.

Therefore, our entire equation is:

y=13(4)^x

3 0
3 years ago
Help me graph<br><br> y=3-|x-1|
nexus9112 [7]

Answer:

In the photo below.

6 0
3 years ago
{(-9,3) (5,-6) (3,-1), (-6,5), ?}Which ordered pair can replace the missing value and make the set if ordered pairs NOT a functi
Nookie1986 [14]
\text{Slope}=\frac{-1--6}{3-5}=\frac{5}{-2}\begin{gathered} y-y_1=\frac{5}{-2}(x-x_1) \\  \\ y--6=\frac{5}{-2}(x-5) \\  \\ -2(y+6)=5(x-5) \\ -2y-12=5x-25 \\ 5x+2y=25-12 \\ 5x+2y=13 \end{gathered}

The missing values are (-6, -9) ( The last option)

Explanation:

x= - 6 has already produced the value of y as 5, the only pair in the given option the make the given ordered pairs NOT to be a function is (-6, -9) since it will give the value of y to be - 9.

4 0
1 year ago
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