g(x) = x + 2h (x) = x^2 – 4Find: g(x) • h(x)
Answers
See attachment for math work and answer.
Related Questions
If a toy rocket is launched vertically upward from the ground level with an initial velocity of 128 feet per second, then its height h after t seconds is given by the equation:
h(t) = -16t^2 + 128t
What is the maximum height the rocket reaches?
Answers
Answer:
The maximum height of the rocket is 256 feet
Step-by-step explanation:
The vertex form of the quadratic function f(x) = ax² + bx + c is
f(x) = a(x - h)² + k, where
(h, k) is the vertex pointh = [tex]\frac{-b}{2a}[/tex] and k = f(h)(h, k) is a minimum point if a > 0 and a maximum point if a < 0Let us use these rules to solve the question
∵ h(t) = -16t² + 128t
→ Compare it by the form of the quadratic function above
∴ a = -16 and b = 128
∵ a < 0
∴ The vertex (h, k) is a maximum point
∴ The maximum height of the rocket is the value of k
→ Use the rule of h above to find it
∵ h = [tex]\frac{-128}{2(-16)}[/tex] = [tex]\frac{-128}{-32}[/tex]
∴ h = 4
→ Substitute x in the equation by the value of h to find k
∵ k = h(h)
∴ k = -16(4)² + 128(4)
∴ k = -256 + 512
∴ K = 256
∴ The maximum height of the rocket is 256 feet
Each letter of the word "supercalifragilisticexpialidocious" is placed into a bag and drawn at 3 times, replacing the letter after each draw. Find the probability that the letter "i" is drawn at least once.
Answers
Answer:
P(X ≥ 1) = 0.50
Step-by-step explanation:
Given that:
The word "supercalifragilisticexpialidocious" has 34 letters in which 'i' appears 7 times in the word.
Then; the probability of success = 7/34 = 0.20588
Using Binomial distribution to determine the probability; we have:
[tex]P(X = x) = ^nC_x \ \beta^x \ (1 - \beta)^{n-x}[/tex]
where;
x = 0,1,2,...n and 0 < β < 1
and x represents the number of successes.
However; since the letter is drawn thrice; the probability that the letter "i" is drawn at least once can be computed as:
P(X ≥ 1) = 1 - P(X< 1)
P(X ≥ 1) = 1 - P(X =0)
[tex]P(X \ge 1) = 1 - \bigg [ {^3C__0} (0.21)^0 (1-0.21)^{3-0} \bigg][/tex]
[tex]P(X \ge 1) = 1 - \bigg [ 1 \times 1 (0.79)^{3} \bigg][/tex]
P(X ≥ 1) = 1 - 0.50
P(X ≥ 1) = 0.50
2 points
2) Mark bought a new suit for $139. The sales tax was 8.5%. What is the
total cost of the suit?*
Answers
8.5% of 139 is $11.82 then u add that to 139
Name the point of concurrency shown. Please please don’t answer if you don’t know it!!!
Answers
Answer:
Circumcenter
Step-by-step explanation:
Jonathan’s class has 30 boys. Of the students in his class, 60% are girls.How many girls are in Jonathan’s class?
Answers
Answer:
45=60%
15=20%
30=40%
60=80%
75=100%
Step-by-step explanation:
Answer: Approximately due to my calculations there are about 60 girls
Step-by-step explanation:60% as a decimal is 0.6
The number one selling item at Sam’s Swim Shop is a beach towel. It is priced at $7.50 , How much will Mrs. Wilson spend if she purchases 4 beach towels and pays 6% sales tax ?
Answers
Answer:
$31.80
Step-by-step explanation:
Write the equation for a parabola with the focus at
(-1, 4) and the equation of the directrix x = 5.
(x + 1)2 = 3(y-4)
(y-4)2 = 12(x + 1)
(y-2)2 = -3(x – 4)
(y-4)2 = –12(x - 2)
Answers
Since the graph is facing the left, the starting equation would be (y - k)2 = -4p(x - h).
(h, k) is the vertex of the graph. If you plot the focus and the directrix, you can see that the distance is 6. Divide 6 by 2, thus the vertex should be 3 squares away from the focus and 3 squares away from the directrix. The vertex is (2, 4). And since the distance from the focus to the vertex and the distance from the directrix to the vertex is 3, P = 3.
Insert the numbers in and you should get the last choice.
I need help on this question!
Answers
Ans: 110
Answer:
110 cookies in 180 minutes
Step-by-step explanation:
Help me if you can please
Answers
Answer:
the missing angle is 45
180-135=45
Day 2 question: Get it right and I'll give you brainliest(or if I just like your answer). Who is my favorite American rapper?
A. Kevin Gates
B. Megan Thee Stallion
C. Moneybagg yo
D.Cardi B
Extra Question: If you could be one celebrity for the day then who?
Answer to the last question(which I think was deleted but i'll put it anyway)
My favorite kpop groups order is: B(P1Harmony, Seventeen, Ateez, Stray Kids)
Answers
Answer:
Cardi B
Step-by-step explanation:
and my kpop stan is SEVENTEEN and im a carat, my bias is woozi
Answer I think its money bagg yo and i would want to be Ariana Grande
Step-by-step explanation:
Plz answer these two and I will give you brainliest
Answers
Answer:
1. -9. 2.i cant see what all the options are but the slope is y= 1/2x -3
Step-by-step explanation:
Hope this helps :)
Anybody know this I’ll give you 25 points and the answer is not D
Answers
Answer:
Most likely D, not sure if I am correct, this might not help
Step-by-step explanation:
In order to find the inverse of an equation, we first swap x and y. Then, we solve for y in the new equation.
[tex]y=x^2-5\\x=y^2-5\\x+5=y^2\\±\sqrt{x+5} =y[/tex]
Ignore the A with a caret above it in the front, I don't know why it is there. I am not sure if I am correct, as I have only just completed Algebra 1 so I do not have good knowledge on mathematics.
Write the slope intercept form of the equation of the line through the given point with the given slope through (-2,5),slope-3/2
Answers
Answer:
Slope Intercept Form: y= -3/2× + 2
Determine the value of x.
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7x-12=9x-26
X=7
Just answer correctly to get brainleist and 10 pts! :)
Answers
Answer:
B
Step-by-step explanation:
x is repeated
I need help please!!
Answers
Answer:
1
Step-by-step explanation:
The line goes through the point 1, so that will be the slope.
simplify each expression
(e^2)(g)(g^4)(e^3)
(e)(e^2)(e)
Answers
9514 1404 393
Answer:
e^5g^5e^4Step-by-step explanation:
The applicable rule of exponents is ...
(a^b)(a^c) = a^(b+c)
__
[tex](e^2)(g)(g^4)(e^3)=e^{(2+3)}g^{(1+4)}=\boxed{e^5g^5}\\\\(e)(e^2)(e)=e^{(1+2+1)}=\boxed{e^4}[/tex]
Need help ASAP please give answer in cm squared
Answers
Answer:
17×15=255
Step-by-step explanation:
you do base times height
NEED ANSWERS asap !!!!!!!!!!!!!
Answers
Answer:
Pink
Step-by-step explanation:
The pinkish shape is the one that is reflected across the x-axis.
Answer:
Pink
This is because blue is being flipped over the x-axis, and that is where pink is.
Hope this helps!
Solve the equation 4x-6= 34. Write a reason for each numbered step.
Answers
Answer:
Steps:
4x - 6 = 34
Add 6 to both sides
4x - 6 + 6 = 34 + 6
Simplify:
4x = 40
Divide both sides by 4
4x/4 = 40/4
Simplify:
x = 10
give an example of a rational number
Answers
17
0.80
-22
Which of the following is equivalent to the addition problem below?
27.93 +61.63
Answers
Maribelle uses x yards of material to make a quilt. A customer requests 5 quilts that are 20% larger than the normal pattern. Write an expression to represent the total yards of material needed for the requested quilts in two different ways?
Answers
Answer:
i. 5(x + 0.2x) yards
ii. 6x yards
Step-by-step explanation:
Since the requested quilts are 20% larger than the normal pattern, then;
20% of x = 0.2 x
Thus,the yards of material to make each of the requested quilts increased by 0.2x yards.
So that;
To make one of the requested quilt, the yards required = x + 0.2x
For 5 requested quilts, the total yards required = 5(x + 0.2x)
Total yards of material for the requested quilts is 5(x + 0.2x).
Also,
5(x + 0.2x) = 5x + 5(0.2x)
= 5x + x
= 6x
Thus, the total yards required is 5(x + 0.2x) or 6x.
1. Ms. Thomas took her family and friends to the movies. There were a total of 16 people. Children's tickets cost $6 and adult tickets cost $9. She spent a total of $129. How many adults went to the movies?
2. Last season two running backs on the college football team rushed for a combined 1550 yards. One rushed 4 times as many yards as the other. How many yards did the player with the most yards rush?
Answers
A)
9*13+6*2=129
117+12=129
13 adults went to the movies
B)
1550/5=310
runner A ran four times as much as runner b
given the above, runner A ran 4*310 and B ran 310, since 1550/5=310
4*310=1240
The player with the most yards (runner A) ran 1240 yards
If a ∥ b and e ∥ f, what is the value of y?
87
88
91
92
Answers
Answer:
88 i believe
Step-by-step explanation:
Answer:
92
Step-by-step explanation:
Angle (x+1) is equal to 92 degrees, and x equals 91. If x equals 91, then (x+1) equals 92. (x+1) and angle y are equal angles, so therefore, you can determine that angle y is equal to 92 degrees.
-I got the question right on the test
Hope this helps!
The larger of two numbers is sixteen less than twice the smaller number. If the sum of the numbers is 44, find the two numbers. Write your answer as two numbers separated by a coma.
Answers
Answer:
20, 24
Step-by-step explanation:
smaller: x
larger: 2x - 16
x + 2x - 16 = 44
3x -16 = 44
3x = 60
x = 20
smaller: x = 20
larger: 2x - 16 = 2(20) - 16 = 24
7. Find the slope of the line.
Answers
1/5
Explanation:
For every two minutes, 10 items get sold. 2/10 is equivalent to 1/5
Answer:
5
Step-by-step explanation:
take 2 points on the graph, for example (4,20) and (2,10) use y2-y1/x2-x1 to solve ,plug in the values 20-10/4-2= 10/2 = 5
please help im so confused at math pls help
Answers
Answer:
where is the question ??
find the LCM and HCF of 110 and 220 by prime factorization, what do u observe
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Answer:
GCF= 2 x 5 x 11 = 110
LCM= 2 x 2 x 5 x 11 = 220
Step-by-step explanation:
Somebody help me plzzZZZZ
Answers
I can probably help
If not I’m so sorry
I’m also struggling
Answer:
Step-by-step explanation:
9.
a1=-35
d=a2-a1=-28-(-35)=7
a35=a1+(35-1)7
=-35+34×7
=-35+238
=203