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9966 [12]
3 years ago
13

For x = -2, evaluate f(g(x)) - f(0), given that: f(x) = 2x + 5 g(x) = 4x​

Mathematics
1 answer:
Veronika [31]3 years ago
7 0

Answer: -16

Step-by-step explanation:

f(g(x)) = 2(4(-2)) + 5

f(g(x)) = 2(-8) + 5

f(g(x)) = -16 + 5

f(g(x)) = -11

f(0) = 2(0) + 5

f(0) = 5

f(g(x)) - f(0) = -11 - 5

f(g(x)) - f(0) = -16

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Hector is flying a kite. He has let out 86 feet
Kaylis [27]

Answer:

Hector's kite is 61.84 feet from the ground.

Step-by-step explanation:

The angle of elevation of the kite is 42°15’30” when converted to decimals, it is 42.258333^{0} ≅ 42.26^{0}

Let the height of the kite to the horizontal of angle of elevation be represented as x. Applying the trigonometric function to the sketch of Hector's kite,

Sin θ = \frac{opposite}{hypotenus}

Sin 42.26^{0} = \frac{x}{86}

⇒ x = 86 x Sin 42.26^{0}

      = 86 x 0.6725

     = 57.835

x ≅ 57.84 feet

The height of Hector's kite from the ground = x + 4

                                    = 57.84 + 4

                                   = 61.84 feet

7 0
3 years ago
5. Xian plans to run 14 laps around a track Each lap is 400 yards. So farxian has run 1,680 yards around the track. What percent
Igoryamba
1,680 divided by 400 = 4.2 
So we know that Xian has done 4.2 laps. 
4.2 divided by 14 = 0.3
0.3 x 100 = 30%
Therefore, Xian has finished 30% of the run
6 0
3 years ago
What is the area of the 3/4foot by 5/6 foot rectangle
marishachu [46]

Answer:

5/8 square feet

Step-by-step explanation:

\dfrac{3}{4}\cdot \dfrac{5}{6}=\dfrac{3\cdot 5}{4\cdot 6}=\dfrac{15}{24}=\dfrac{5}{8}. Hope this helps!

7 0
3 years ago
Evaluate the expression for the given value(s) of the variables s=7 k=4 x=6 8 - k+ x
kow [346]

Answer: 9

Step-by-step explanation:

s = 7

k = 4

x = 6

7 - 4 + 6

3 + 6

9

8 0
3 years ago
31/8 into a mixed number
Svetlanka [38]
The answer is 3 and 7/8.
5 0
3 years ago
Read 2 more answers
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