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Anna007 [38]
3 years ago
13

Find fog(x) when f(x) = 2x² + x and g(x) = 3x + 2

Mathematics
1 answer:
nekit [7.7K]3 years ago
6 0
For fog or f(g(x)), plug g(x) into f(x):

2(3x+2)²+x

Then simplify:

2( (3x+2)(3x+2) )+x

2( 9x²+12x+4 )+x

18x²+24x+8 +x

18x²+25x+8

Then you can simplify this further using factoring methods to:

(2x+1)(9x+8)

Hope this helps!! :)

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Maya is flying a kite, holding her hands a distance of 3.5 feet above the ground and letting all the kite’s string play out. She
yKpoI14uk [10]

Answer:

The kite is 73.4 feet above the ground.

Step-by-step explanation:

125 sin 34=

Cross multiply.

x=69.899112...

x=69.899112...

{Add 3.5, the distance from the ground to her hand:}

Add 3.5, the distance from the ground to her hand:

69.899112...+3.5=

73.399112...

3 0
3 years ago
WILL GIVE BRAINLIEST AND 100 PNTS!! Which of the tables represents a function? Table A Input Output 5 3 5 2 4 1 Table B Input Ou
expeople1 [14]

Answer:

Table B

Step-by-step explanation:

Table A Input Output

                5 3

                5 2

                4 1

Has  an input that goes to 2 different outputs, not a function

Table B Input Output

                 1 2

                 3 2

                 5 3

one to one relation which is a function

Table C Input Output

                 0 0

                 1 2

                 1 3

Has  an input that goes to 2 different outputs, not a function

Table D Input Output

                  4 2

                 4 3

                 4 4

Has  an input that goes to 2 different outputs, not a function

4 0
3 years ago
I NEED HELP PLS AND THX <3
timama [110]
I think it’s 0.1

1 pizza divided 10 slices = 0.1
4 0
3 years ago
Read 2 more answers
Can someone please help
Sloan [31]

Answer:

41

Step-by-step explanation:

an = a1 + (n-1)d

a_n = the nᵗʰ term in the sequence = 10

a_1 = the first term in the sequence = 5

d = the common difference between terms = 4

a10 = 5 + (10-1)4

a10 = 5 + (9)4

a10 = 5 + 36

a10 = 41

7 0
2 years ago
The sum of the arithmetic progression 4, ..., 76 is 1920. Find the number of terms and the common difference.​
valkas [14]

<u>Number of terms = 48</u>

<u>common difference = 1.5</u>

This question involves the concept of Arithmetic Progression.

  • The formula for sum of an arithmetic progression series with first and last term given is;

S_{n} = \frac{n}{2}(a + l)

where;

a = first term

l = last term

n = number of terms

  • From the given sequence, we see that;

first term; a = 4

last term; l = 76

Sum of A.P; S_{n} = 1920

  • Plugging in relevant values into the sum of an AP formula, we have;

1920 = \frac{n}{2}(4 + 76)

simplifying this gives;

1920 = 40n

n = 1920/40

n = 48

  • Formula for nth term of an AP is;

t_{n} = a_{1} + (n - 1)d

where;

a_{1} is first term

d is common difference

n is number of term

t_{n} is the nth term in question

the 48th term is 76

Thus;

76 = 4 + (48 - 1)d

76 - 4 = 47d

72 = 47d

d = 72/47

d ≈ 1.5

Thus;

Number of terms = 48

common difference = 1.5

Read more at; brainly.com/question/16935540

4 0
3 years ago
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