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
Maslowich
3 years ago
8

Someone please help me with this algebra

Mathematics
1 answer:
labwork [276]3 years ago
3 0
QUADRATIC \: \: \: RESOLUTIONS \\ \\ \\ \\Function \: to \: model \: the \: height \: of \: the \\ Grasshopper \: above \: the \: ground \: is \: \\ given \: by \: \: - \\ \\ h(t) \: \: = \: \: - {t}^{2} \: + \: \frac{4}{3} t \: + \: \frac{1}{4} \\ \\ \\ When \: the \: grasshopper \: will \: be \: at \: \\ the \: ground \: , \: \: \\ \\ h(t) \: = \: 0 \\ \\ - {t}^{2} \: + \: \frac{4}{3} t \: + \: \frac{1}{4} \: = \: 0 \\ \\ - 12{t}^{2} \: + \: 16 t \: + 3 \: = \: 0 \\ \\ \: \: \: 12 {t}^{2} \: - \: 16t \: - \: 3 \: = \: 0 \\ \\ \: \: \: 12 {t}^{2} \: + \: 2t \: - \: 18t \: - 3 \: = \: 0 \\ \\ \: \: 2t \: (6t + 1) \: - 3 \: (6t + 1) \: = \: 0 \\ \\ \: (2t - 3) \: (6t + 1) \: \: = \: \: 0 \\ \\ Neglecting \: the \: negative \: value \: \\ as \: time \: cannot \: be \: negative \: \: ,\\ \\ We \: get \: \: - \: \\ \\ t \: \: = \: \: \frac{3}{2} \\ \\ \\ Hence \: \: , \: \: After \: \: || \: \: 1.5 \: seconds \: \: || \: , \: the \: \\ Grasshopper \:  will \: land \: on \: the \: ground \: .
You might be interested in
If k(x) = x^2 and p(x) = k(x) + n, what is the value of n?
kodGreya [7K]

Answer:

The value of n is -6

Step-by-step explanation:

  • If the function f(x) is translated k units up, then its image is g(x) = f(x) + k
  • If the function f(x) is translated k units down, then its image is g(x) = f(x) - k
  • The vertex form of the quadratic function is f(x) = a(x - h)² + k, where a is the coefficient of x² and (h, k) is the vertex

∵ k(x) = x²

→ Its graph is a parabola with vertex (0, 0)

∴ The vertex of the prabola which represents it is (0, 0)

∵ The given graph is the graph of p(x)

∵ Its vertex is (0, -6)

∴ h = 0 and k = -6

∵ a = 1

→ Substitute them in the form above

∴ p(x) = 1(x - 0)² + -6

∴ p(x) = x² - 6

→ Substitute x² by k(x)

∴ p(x) = k(x) - 6

∵ p(x) = k(x) + n

→ By comparing the two right sides

∴ n = -6

∴ The value of n is -6

Look at the attached figure for more understanding

The red parabola represents k(x)

The blue parabola represents p(x)

8 0
2 years ago
What is (-12) / 6 + 2
Nata [24]
-12/6+2
=-12/6+2/1
=-2/1+2/1
=-2+2/1
=0

From looking at that equation you put this is my solution.
7 0
3 years ago
Read 2 more answers
9588 divided by 7 pls help meh
evablogger [386]

Answer:

For the decimal form it is, 1369.71428571

The fraction form is 1369 (5/7)

Step-by-step explanation:


5 0
3 years ago
Read 2 more answers
Cuanto costara una sala que se anuncia en $7500, con el 30% de descuento mas 16% de IVA
alexgriva [62]

Answer:

30 por ciento:2250

16 por ciento:1200

Step-by-step explanation:

4 0
3 years ago
Help please. this is really hard for me to understand.
bogdanovich [222]

Answer:

1. x = - 4, - 3

2. x = 9, - 1

3. x = - 1, 10

4. x = - 8, - 3

8 0
3 years ago
Other questions:
  • HELPPPPPPPPP+ EXPAINNNNNNNN
    9·1 answer
  • Name the property of 75 + 6 = 6 + 75
    8·1 answer
  • 1. Emmanuel bought 30 lbs of potting soil this week. This amount is 6 lb more than twice the amount of potting soil he bought la
    13·1 answer
  • Solve the following equation: x + 5 = 42
    5·2 answers
  • The random numbers below represent 15 trials of a basketball simulation conducted using a spinner numbered 0–8. 76645, 46757, 28
    11·1 answer
  • What is the answer to 9.99999999×9.999999999
    15·1 answer
  • What is 1/2 of 5 in fraction
    5·2 answers
  • Last June the total number of people who attended a baseball team's games was 120,000. This number increased by 13% in July. The
    7·1 answer
  • Someone help plz make sure it’s right will mark brainiest if it is :)
    5·1 answer
  • Find the value of x that makes m\ \n.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!