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wolverine [178]
3 years ago
8

PLEASE HELP

Mathematics
2 answers:
kogti [31]3 years ago
7 0
\textbf{You have to} restrict the domains of quadratic functions and absolute value functions, because these functions are \textbf{many-to-one} functions. For instance, the quadratic function f(x) = x^2 pairs both −2 and 2 with 4, and the absolute value function f(x) = |x| pairs both −2 and 2 with 2.

Linear functions (excluding constant functions) and exponential functions are \textbf{one-to-one} functions, so their domains \textbf{do not need} to be restricted.
_________________

An absolute value function, without domain restriction, has an inverse that is NOT a function.

In order to guarantee that the inverse must also be a function, we need to restrict the domain of the absolute value function to make it a one-to-one function.
Otrada [13]3 years ago
5 0

Answer:

restrict the domains of quadratic functions and absolute value functions, because these functions are  functions. For instance, the quadratic function f(x) = x^2 pairs both −2 and 2 with 4, and the absolute value function f(x) = |x| pairs both −2 and 2 with 2.

Step-by-step explanation:

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The sum of two consecutive number is 15. the number are and solve ​
Fiesta28 [93]

By Question it's given that the sum of two numbers is 15 . And we need to find out the numbers. So ,

<u><em>Let </em><em>us </em><em>take</em><em> </em><em>:</em><em>-</em><em> </em></u>

  • First number = x
  • Second number = x + 1

<em><u>According</u></em><em><u> to</u></em><em><u> the</u></em><em><u> Question</u></em><em><u> </u></em><em><u>:</u></em><em><u>-</u></em><em><u> </u></em>

\sf\implies x + x +1=15\\\\\sf\implies 2x = 15-1\\\\\sf\implies 2x =14 \\\\\sf\implies x =14/2 \\\\\sf\implies\red{ x = 7 }

<em><u>Therefore</u></em><em><u> </u></em><em><u>:</u></em><em><u>-</u></em><em><u> </u></em>

  • First number = 7
  • Second number = 8

<u>Hence</u><u> the</u><u> </u><u>two </u><u>numbers</u><u> </u><u>are </u><u>7</u><u> </u><u>and </u><u>8</u><u>. </u>

7 0
2 years ago
Can someone help me with this, pleasee.
Schach [20]

Answer:

i will say the first one cannot, the second one cannot and the third one can

Step-by-step explanation:

but i am not 100% sure sry

5 0
3 years ago
Read 2 more answers
Last year, Eric grew 48 tomatoes in his garden. This year, he grew 7/8 of that number of tomatoes in his garden. Which statement
Nataly_w [17]
The answer is B because he grows less, not more, and 7/8 is greater than 1/2
8 0
3 years ago
The equation for the line that passes (-1,-2) and (4,3)
laila [671]
Find the slope and use one point to write the equation of a line (we’ll be using point-slope form). The slope is:
(3 - (-2) ) / (4 - (-1) ) = 1. Plug it into point slope form, y - y1 = m(x - x1), and we get y - 3 = 1(x - 4). If we want to get slope-intercept, distribute the 1, and solve for y: y = x - 1.
5 0
3 years ago
Find the sum to infinity of a geometric series having a second term of -9 and fifth term of 1/3 g
Eduardwww [97]

Answer:

S infinity= -51/4

Step-by-step explanation:

First term

ar= -9

Fifth term

ar⁴= 1/3

Solving for the value of the r and a

ar= -9

ar⁴= 1/3

Dividing each other

r³=1/3 * -1/9

r³=-1/27

r= 3√-1/27

r= -1/3

Solving for a

ar= -9

a(-1/3)= 9

a= 9*-3

a= -27

Sum of a go to infinity is given by the formula

S infinity= a/(1-r)

S infinity= -27/(1-(-1/3))

S infinity= -27/(1+1/3)

S infinity= -27 * 3/4

S infinity= -51/4

5 0
3 years ago
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