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miss Akunina [59]
3 years ago
9

A quadratic function y=f(x) is plotted on a graph and the vertex of the parabola is (3,6). What is the vertex of the function de

fined as g(x)=f(x+5)?
Mathematics
1 answer:
maks197457 [2]3 years ago
5 0

Answer:

vertex = (- 2, 6)

Step-by-step explanation:

Given f(x) then f(x + a) represents a horizontal translation of f(x)

• If a > 0 then a shift to the left of a units

• If a < 0 then a shift to the right of a units

Here a = 5 , thus a horizontal translation left by 5 units.

Thus

vertex of g(x) = (3 - 5, 6 ) = (- 2, 6 )

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Two positive integers are 3 units apart on a number line. Their product is 108.
SVETLANKA909090 [29]

Answer:

d)  the numbers are 9 and 12

Step-by-step explanation:

set each factor equal to 108:

m-12=108

m = 120

*************

m-9=108

m=117

*************

120 and 117 are 3 units apart

****************

9 x 12 = 108

7 0
3 years ago
A new car is purchased for 15500 dollars. The value of the car depreciates at 6.5% per year. What will the value of the car be,
Aleksandr [31]

Answer:

$10356,22

Step-by-step explanation:

15500*(1-(6,5/100))^6=10356,22

3 0
3 years ago
PLEASE HELP!!! A.S.A.P!!
Ksivusya [100]

Answer:

142m

Step-by-step explanation:

This problem can be solved by simply using the pythagorean theorem, as you stated at the beginning of the problem, which is: a^{2} +b^{2} =c^{2}

You are given the <em>a</em> side and <em>b</em> side that are needed for this equation, so it's all a matter of plugging in the information you have:

110^{2} +90^{2} =c^{2}

110^{2} =12100

90^{2} =8100

12100+8100=c^{2}

20200=c^{2}

Now, because the <em>c</em> is still squared, you must take the square root of 20200 in order to get the length of just side <em>c</em>:

\sqrt{20200}≈142m

7 0
3 years ago
Solve using the zero product property <br><br> (2x-7)(x-9) = 0
Blizzard [7]
X = 7/2 and 9 there you go hun
4 0
3 years ago
Plis necesito ayuda en esta tarea:
Ede4ka [16]

Answer:

92749021918383738642467

4 0
3 years ago
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