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MissTica
3 years ago
7

Find the x-values for which f(x) = g(x) if you know that f(x) = x2 and g(x) = 9.

Mathematics
1 answer:
Juli2301 [7.4K]3 years ago
5 0

Answer:

For the values of x  = 3 and x = -3 the given functions f(x) = g(x)

Step-by-step explanation:

Here, the given functions are

f(x)  = x^{2} \\g(x) = 9

Now, given f(x)  = g(x)

⇒ x^{2}   = 9

or, x = \sqrt{9}   \implies x  = 3, -3

Hence, for the values of x  = 3 and x = -3 the given functions f(x) = g(x)

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Which shows the expression below in simplified form?
statuscvo [17]

Answer:

B. 9x10^4

Step-by-step explanation:

\frac{4.5 \times  {10}^{8} }{5 \times  {10}^{3} }  \\  = 0.9 \times  {10}^{8 - 3}  \\  = 0.9 \times  {10}^{5}  \\  = 9 \times  {10}^{4}

5 0
3 years ago
Which of the following are identities? Check all that apply
Natasha2012 [34]

Answer:

A, C

Step-by-step explanation:

Actually, those questions require us to develop those equations to derive into trigonometrical equations so that we can unveil them or not. Doing it only two alternatives, the other ones will not result in Trigonometrical Identities.

Examining

A) True

\frac{1-tan^{2}x}{2tanx} =\frac{1}{tan2x} \\ \frac{1-tan^{2}x}{2tanx} =\frac{1}{\frac{2tanx}{1-tan^{2}x}}\\ tan2x=\frac{1-tan^{2}x}{2tanx}

Double angle tan2\alpha =\frac{1 -tan^{2}\alpha }{2tan\alpha}

B) False,

No further development towards a Trig Identity

C) True

Double Angle Sine Formula sin2\alpha =2sin\alpha *cos\alpha

sin(8x)=2sin(4x)cos(4x)\\2sin(4x)cos(4x)=2sin(4x)cos(4x)

D) False No further development towards a Trig Identity

[sin(x)-cos(x)]^{2} =1+sin(2x)\\ sin^{2} (x)-2sin(x)cos(x)+cos^{2}x=1+2sinxcosx\\ \\sin^{2} (x)+cos^{2}x=1+4sin(x)cos(x)

7 0
3 years ago
Read 2 more answers
What is the slope and y- intercept of the line passing through (11,-3) and (7,9)
Misha Larkins [42]

Answer:

Slope is -3, y-intercept is 30

Step-by-step explanation:

You take the two points (11,-3) and (7,9), plug them into the formula y2-y1/x2-x2=m. Now, you have 9-(-3)/7-11 which gives you 12/-4, 12/-4 can be simplified into -3 which is your slope. To find y-intercept you must use the formula y=mx+b. Plug -3, your slope, into m, and any of the coordinates on your line into the y and x; I used (7,9). You solve for b from 9=-3*7+b. -3*7 gives you -21, now you have 9=-21+b, to get b by itself, you add 21 to both sides, 30=b. B is your y-intercept.

7 0
3 years ago
List x1, x2, x3, x4 where xi is the midpoint endpoint of the five equal intervals used to estimate the area under the curve of f
Amanda [17]

Answer:

\bf x_1 = 2\\x_2 = 4\\x_3=6\\x_4=8

Step-by-step explanation:

The given interval : x = 0 to x = 10

Length of interval = 10 - 0

                              = 10

\text{Now, each }x_i \text{ is midpoint and endpoint of the five equal intervals}

⇒ Number of equal intervals = 5

\textbf{Length of each interval = }\frac{10}{5}

\textbf{Therefore, }\bf x_1 = 0 + 2 = 2\\x_2 = 2 +2 =4\\x_3=4+2=6\\x_4=6+2=8

3 0
3 years ago
BÀI 5
lawyer [7]

Answer:

ano hindi po ma hintindihan po hindi paano po yan masasagutan

7 0
3 years ago
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