1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
shepuryov [24]
3 years ago
12

Given: f(x) = 2x + 5 and g(x) = x2 and h(x) = -2x h(g(f(x)))

Mathematics
2 answers:
defon3 years ago
4 0

Answer:

h[g{f(x)}] = -(8x² + 40x + 50) is the answer.

Step-by-step explanation:

The given functions are f(x) = 2x + 5 , g(x) = x² and h(x) = -2x.

We have to find the value of h[g{f(x)}]

To get the value we will find the value of g{f(x)} first.

g{f(x)} = (2x + 5)²= 4x²+ 25 + 20x

Then we will find the value of h[g{f(x)}]

h[g{f(x)}] =  -2(4x²+ 20x + 25) = (-8x² - 40x -50)

So the answer is h[g{f(x)}] = -(8x² + 40x + 50)

Vinvika [58]3 years ago
3 0

Answer:

h(g(f(x)))=  -8x²-40x-50

Step-by-step explanation:

We have given three function.

f(x) = 2x + 5 and g(x) = x² and h(x) = -2x

we have to find h(g(f(x))).

h(g(f(x)))  = ?

Putting value , we have

h(g(f(x)))  = h(g(2x+5)

h(g(f(x)))  = h((2x+5)²)

h(g(f(x)))  =  h(4x²+20x+25)

h(g(f(x)))  =  -2(4x²+20x+25)

h(g(f(x)))  =  -8x²-40x-50 which is the answer.

You might be interested in
Joel made some muffins he gave 1/4 of the muffins to a neighbor. He took 3/8 of the muffins to school. What fraction of the muff
geniusboy [140]
3/8 of the muffin is left
4 0
3 years ago
Can someone PLEASE help me with Trigonometry???
Svetach [21]
\bf sin^2(2\theta)-7sin(2\theta)-1=0\\\\
-------------------------------\\\\
sin(2\theta)=\cfrac{7\pm\sqrt{49-4(1)(-1)}}{2(1)}\implies sin(2\theta)=\cfrac{7\pm\sqrt{49+4}}{2}
\\\\\\
sin(2\theta)=\cfrac{7\pm\sqrt{53}}{2}\implies 2\theta=sin^{-1}\left( \frac{7\pm\sqrt{53}}{2} \right)
\\\\\\
\theta=\cfrac{sin^{-1}\left( \frac{7\pm\sqrt{53}}{2} \right)}{2}

but anyway, the numerator will give the angles, and θ is just half of each

\bf \theta=\cfrac{sin^{-1}\left( \frac{7\pm\sqrt{53}}{2} \right)}{2}\\\\
-------------------------------\\\\
sin^{-1}\left( \frac{7+\sqrt{53}}{2} \right)\implies sin^{-1}(7.14)\impliedby \textit{greater than 1, no good}
\\\\\\
sin^{-1}\left( \frac{7-\sqrt{53}}{2} \right)\implies sin^{-1}(-0.14) \approx -8.05^o
\\\\\\
\theta=\cfrac{-8.05}{2}\implies \theta=-4.025

ok... that's a negative tiny angle, is in the 4th quadrant, if we stick to the range given, from 0 to 360, so we have to use the positive version of it, 360-4.025

so the angle is 355.975°

now, the 3rd quadrant has another angle whose sine is negative, so... if we move from the 180° line down by 4.025, we end up at 184.025°

and those are the only two angles, because, on the 2nd and 1st quadrants, the sine is positive, so it wouldn't have an angle there
7 0
3 years ago
Ronnie and Roxanne went to the track after school. Ronnie ran 6 laps in 15 minutes. Roxanne ran 9 laps in 20 minutes. Who ran fa
stich3 [128]
Roxanne (limit) yeah
5 0
3 years ago
Read 2 more answers
Solve the following pair of simultaneous equation using elimination method.
sp2606 [1]

Answer:

x = 1 and y = −2

Step-by-step explanation:

Rewrite equations:

x + 2y = −3

3x − 2y = 7

Step 1: Solve x+2y=−3 for x:

x + 2y = −3

x + 2y + −2y = −3 + −2y (Add -2y to both sides)

x = −2y − 3

Step 2: Substitute −2y − 3 for x in 3x − 2y = 7:

3x − 2y = 7

3(−2y − 3) − 2y = 7

−8y − 9 = 7 (Simplify both sides of the equation)

−8y − 9 + 9 = 7 + 9 (Add 9 to both sides)

−8y = 16

−8y/−8 = 16/−8 (Divide both sides by -8)

y = −2

Step 3: Substitute −2 for y in x = −2y − 3:

x = −2y − 3

x = (−2)(−2) − 3

x = 1 (Simplify both sides of the equation)

3 0
3 years ago
Henry’s disability insurance pays 70% of his salary for up to 26 weeks if his salary is $450 and he is disabled for 20 weeks how
ankoles [38]

Answer:

$1575

Step-by-step explanation:

70 % of his salary is 0.7 X 450 = 315

He gets it for 20 weeks

presuming the salary is monthly.

You do 315 X 5 = 1575   20 /4 = 5 months

6 0
3 years ago
Other questions:
  • Find the interest. Round to the nearest cent.<br><br> $1850 at 8% for 14 months
    14·1 answer
  • In the scale used on a blueprint, 14 inch represents 3 feet. On the blueprint, what is the length of a room with an actual lengt
    10·1 answer
  • Find the discount on a 15$ Tshirt its on sale for 10% off​
    12·1 answer
  • What is the solution to the following system of equations? y = −x^2 − 5x − 4 y = −x^2 + 9x − 18
    5·1 answer
  • Is 32.5 greater or less than 30.8<br><br>PLEASE HELP QUICKLY AS POSSIBLE THANK YOU :)​
    7·2 answers
  • Question 3. Multiply. (x + 5)(2x - 6).
    12·1 answer
  • Find the difference: (6y3 + 17y − 3) − (4y3 − 11y + 9)
    8·2 answers
  • what are two methods you can use to find the area of a square. I WILL GIVE BRAINLIEST I NEED HELP QUICKKKKK
    6·2 answers
  • How do you solve -5 ( -6 - 3x) + 8 = 83
    13·1 answer
  • PLEASE HELP, I'VE ASKED THIS QUESTION THREE TIMES AND NO ONE WILL ANSWER SO PLEASE HELP!!!!!!!!!!!!!!!!!!!
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!