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Yuliya22 [10]
3 years ago
12

Please I need help and it has two answers for each one

Mathematics
2 answers:
Lelechka [254]3 years ago
8 0

Answer:

1st Q: 3rd option, 2nd Q: 2nd, 4th, and 5th options

Step-by-step explanation:

For the first one, since the coefficient of the 2nd degree term is negative, the graph of the parabola will look downward, f(x) getting closer to infinity as the absoloute value of x gets larger.

For the second one, let f(x)=0 and solve the quadratic function with factoring. The equation can be rewritten as (x-12)(x+6)=0, so the roots are 12 and -6, which are x-intercepts. The y-intercept is the constant term of quadratic functions, so -36 is the y-intercept.

Anit [1.1K]3 years ago
8 0

Answer:

Solution given:

for second

we have

f(x)=x²-9x-36

let

y=x²-9x-36

when

x=0

y=-36

when

y=0

0=x²-9x-36

x²-12x+3x-36=0

x(x-12)+3(x-12)=0

(x-12)(x+3)=0

either

x=12

x=-3

So,

x and y intercepts are (-3,0)(12,0) and 0,-36)

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Find three consecutive odd integers where the sum of the two largest is seven less than three times the smallest.
Basile [38]

Answer:

<h3>              13, 15, 17</h3>

Step-by-step explanation:

x    - an integer  then  2x + 1 is an odd number  (the smallest one)

consecutive odd numbers increase by 2

so the next odd number (the middle number) is:

2x + 1 + 2 = 2x + 3

and the third (the largest) consecutive is:

2x + 3 + 2 = 2x + 5

the sum of the the two largest numbers is:

2x + 3 + 2x + 5

3 times the smallest number is:  

3(2x + 1)  

the sum of the two largest is seven less than three times the smallest, so:

2x + 3 + 2x + 5 = 3(2x + 1) - 7

4x + 8 = 6x + 3 - 7

   -6x       -6x

-2x + 8 = -4

   -8       -8

-2x  = -12

÷(-2)    ÷(-2)

  x = 6

2x+1 = 2•6+1 = 13

2x+3 = 2•6+3 = 15

2x+5 = 2•6+5 = 17

Check:

2x+3+2x+5 = 15+3+15+5 = 38

38+7 = 45

45÷3 = 15

5 0
3 years ago
The width of a singles tennis court is 27 feet. this is 1 foot more than 1/3 of the lenght. what is the length of the court
s344n2d4d5 [400]
W = 27
1 + 1/3L = w
1 + 1/3L = 27
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i am a mathematics teacher. if anything to ask please pm me
3 0
3 years ago
Jenny has $400 in an account with an annual interest rate of 6% compounded annually. if jenny makes no deposits or withdrawals,
andrew11 [14]
The formula for this problem is A=P(1+(r/n))^nt.
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Now plug in those values to get A=400(1+(0.06/1))^1*3
I get an answer of $476.41
8 0
4 years ago
8. Kim works as a freelance writer and editor. She charges $14.12 per page for editing services and $0.20
dalvyx [7]

Answer:

Answer to question eight: $152.96

Step-by-step explanation:

$14.12 * 8 pages = $112.96

$0.20 * 200 words = $40

$112.96 + 40 = $152.96

7 0
3 years ago
What is the value of k?
Nezavi [6.7K]

9514 1404 393

Answer:

  k = 10

Step-by-step explanation:

The exterior angle is equal to the sum of the remote interior angles.

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