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2 years ago

PLSS HELP I need answers

Mathematics

1 answer:

4vir4ik [10]2 years ago

5 0

Answer:

4.66666666667 to be exact

Step-by-step explanation:

divide 3 into 14

-NULL

Brainliest will be appreciated thank you!

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Solve the quadratic equation x2+8x−30=0 by completing the square.

diamong [38]

Answer:

$\bold{x=-4\pm\sqrt{46}}$

Step-by-step explanation:

$(a+b)^2=a^2+2ab+b^2\\\\\\x^2+8x-30=0\\\\\underbrace{x^2+2\cdot x\cdot 4+4^2}-4^2-30=0\\\\{}\qquad(x+4)^2\,-\,16-30=0\\\\{}\qquad\ \ (x+4)^2=46\\\\ {}\qquad\ \ x+4=\pm\sqrt{46}\\\\ {}\qquad\ \ x=-4\pm\sqrt{46}$

5 0

2 years ago

F(x)= 5x^2+6, g(x)= 7x find (f o g)(x), find (g o f)(x), find f(g(-4)), fine g(f(5))

KiRa [710]

$(f o g)(x) = 245x^2+6\\(g o f)(x) = 5x^2+42\\ f(g(-4)) = 3926\\g(f(5)) = 917$

Step-by-step explanation:

Given

$f(x) = 5x^2+6\\g(x) = 7x$

$(f o g)(x) = 5(7x)^2+6\\= 5(49x^2)+6\\=245x^2+6\\(g o f)(x) = 7(5x^2+6)\\= 35x^2+42\\(fog(x))=245x^2+6f(g(-4)) = 245(-4)^2+6 \\=245(16)+6\\=3920+6\\=3926\\g(f(x)) = 35x^2+42\\g(f(5)) = 35(5)^2+42\\=35(25)+42\\=875+42\\=917$

Hence,

$(f o g)(x) = 245x^2+6\\(g o f)(x) = 5x^2+42\\ f(g(-4)) = 3926\\g(f(5)) = 917$

Keywords: functions, Function composition

Learn more about functions at:

#LearnwithBrainly

7 0

3 years ago

What is the prime factor of 8

ExtremeBDS [4]

Prime factor is a factor that is a prime number.
Prime factors of :
8 : 2 × 2 × 2. Also can be written as
${2}^{3}$
12 : 2 × 2 × 3. Also can be written as
${2}^{2} \times 3$

20 : 2 × 2 × 5. Also can be written as
${2}^{2} \times 5$

30 : 2 × 3 × 5

56 : 2 × 2 × 2 ×7. Also can be written as
${2}^{3} \times 7$

70 : 2 × 5 × 7

You can find all of them by using Factor Tree [ as shown in the picture] or Dividing by prime numbers.

5 0

2 years ago

2 1/4 and 1 3/8 simplest form multiply

IceJOKER [234]

2 1/4 * 1 3/8 = 3 3/32 or 99/32

3 0

3 years ago

Please help me asp I’ll mark as brainliest

Zigmanuir [339]

Answer:

1) Ordered pairs are (9,5), (11,8) , (13,11), (15,14)

2) Ordered pairs are (20,20) ,(16,17), (12,14), (8,11)

3) Ordered pairs are (1,40),(3,22), (7,13), (15,7.5)

Step-by-step explanation:

1) Rule 1: Add 2 starting from 9

Rule 2: Add 3 starting from 5

Sequence 1 is generated using Rule 1 so, it starts with 9 and we add 2 to get the next number.

Sequence 2 is generated using Rule 2 so, it starts with 5 and we add 3 to get the next number.

Sequence 1 Sequence 2 Ordered Pair

9 5 (9,5)

11 8 (11,8)

13 11 (13,11)

15 14 (15,14)

2) Rule 1: Subtract 4 starting from 20

Rule 2: Subtract 3 starting from 20

Sequence 1 is generated using Rule 1 so, it starts with 20 and we subtract 4 to get the next number.

Sequence 2 is generated using Rule 2 so, it starts with 20 and we subtract 3 to get the next number.

Sequence 1 Sequence 2 Ordered Pair

20 20 (20,20)

16 17 (16,17)

12 14 (12,14)

8 11 (8,11)

3) Rule 1: Multiply by 2 then add 1 starting from 1

Rule 2: Divide by 2 then add 4 starting from 40

Sequence 1 is generated using Rule 1 so, it starts with 1 and then we multiply by 2 and then add 2 to get the next number.

Sequence 2 is generated using Rule 2 so, it starts with 40 and then we multiply by 2 and add 2 to get the next number.

Sequence 1 Sequence 2 Ordered Pair

1 40 (1,40)

3 22 (3,22)

7 13 (7,13)

15 7.5 (15,7.5)

7 0

3 years ago