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ss7ja [257]
3 years ago
7

The graph of f(x) = is reflected across the y-axis to create the graph of function g. How do the domains of f and g compare? The

domains of f and g are both x ≥ 0. The domains of f and g are both all real numbers. The domain of f is x ≥ 0, while the domain of g is x ≤ 0. The domain of f is x ≤ 0, while the domain of g is x ≥ 0.
Mathematics
2 answers:
murzikaleks [220]3 years ago
8 0

Answer:

The domain of f is x ≥ 0, while the domain of g is x ≤ 0

Step-by-step explanation:

Given that f(x) is reflected across the y-axis to create the graph of function g.

i.e. f is reflected on the line x=0

Hence x will become -x in g.

When domain of f is x>=0 the domain of g can only be x less than or equal to 0.

Hence answer is option c

The domain of f is x ≥ 0, while the domain of g is x ≤ 0

xxTIMURxx [149]3 years ago
6 0
The notation x ≥ 0 means that a is greater than or equal to x (or, equivalently, not less than x, or at least x),; "not less than" can also be represented by the symbol for "less than" bisected by a vertical line, "not."
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In an AP the seventh term is 38 and the twelfth term is 63. What is the sum of the first twenty terms?
lorasvet [3.4K]

Answer: 1110

Step-by-step explanation:

For an arithmetic progression, the nth term is gotten by using the formula:

= a + (n-1)d

Therefore,

7th term = a + 6d = 38 ..... equation i

12 term = a + 11d = 63 ...... equation ii

Subtract equation i from ii

(a + 6d) - (a + 11d) = 38 - 63

-5d = -25

d = 25/5

d = 5

Since d = 5

From a + 6d = 38

a = 38 - 6d

a = 38 - (6×5)

a = 38 - 30

a = 8

The sum of the first 20 terms will be:

= n/2[2a + (n-1)d]

= 20/2[(2×8) + (20-1)5]

= 10[16+(19 × 5)]

= 10(16+95)

= 10(111)

= 1110

3 0
3 years ago
The ages of Aman and Arun are in the ratio 5:7. Four years later the sum of their ages will be 56 years. What are their present
Viktor [21]

Answer:

Aman's age = 20, Arun's age = 28

Step-by-step explanation:

Let x = Aman's age

Let y = Arun's age

- - - -

x+4+y+4=56 (Sum of their age is 56 after 4 years in the future)

x+y+8=56

x+y=48

\frac{x}{y} = \frac{5}{7} (Ages are in the ratio 5:7)

x=\frac{5}{7}y

Now, we can use substitution to find for Arun's age:

x+y=48

\frac{5}{7}y+y=48

\frac{12}{7}y=48

y=28

∴ Arun is 28

To find for Aman's age, we can use substitution:

x+y=48

x+28=48

x=20

∴ Aman is 20

Hope this helps :)

8 0
3 years ago
I’m stuck on this question please help(it’s a test)
emmainna [20.7K]
I think the answer is 33 sorry if I’m wrong
7 0
3 years ago
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2(P +1) + 3(P + 2 ) &gt; 2<br> need help pls
Vadim26 [7]

Answer:

Please check the explanation.

Step-by-step explanation:

Given the expression

2\left(P\:+1\right)\:+\:3\left(P\:+\:2\:\right)\:>\:2

solving the expression

2\left(P\:+1\right)\:+\:3\left(P\:+\:2\:\right)\:>\:2

as

  • 2\left(P+1\right)+3\left(P+2\right)=5P+8

so the expression becomes

5P+8>2

subtracting 8 from both sides

5P+8-8>2-8

5P>-6

Dividing both sides by 5

\frac{5P}{5}>\frac{-6}{5}

P>-\frac{6}{5}

Therefore,

2\left(P+1\right)+3\left(P+2\right)>2\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:P>-\frac{6}{5}\:\\ \:\mathrm{Decimal:}&\:P>-1.2\\ \:\mathrm{Interval\:Notation:}&\:\left(-\frac{6}{5},\:\infty \:\right)\end{bmatrix}

The graph is also attached below.

5 0
2 years ago
Data was collected from a simple random sample of 200 cell phone users age 18 or older in the United States. Each user was categ
frutty [35]

Answer:

D

Step-by-step explanation:

i took it

6 0
3 years ago
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