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
MatroZZZ [7]
3 years ago
5

The vertex of this parabola is at (-2, 5). Which of the following could be it’s equation? A. Y=3(x+2)^2-5 B. Y=3(x-2)^2-5 C. Y=3

(x+2)^2+5 D. Y=3(x-2)^2+5
Mathematics
2 answers:
Brilliant_brown [7]3 years ago
6 0

Answer: y= 3(x+2)^2+5

Step-by-step explanation:

Mariulka [41]3 years ago
5 0

Answer:  C. y=3(x+2)^{2} +5


Step-by-step explanation:

1. You have the following equation of the parabola in Vertex form:

y=a(x-h)^{2}+k

Where h is the x-coordinate of the vextex and k is the y-coordinate of the vextex.

2. You know that the vertex of this parabola is at (-2, 5), then, susbtitute this point into the equation. Then, you obtain:

y=3(x+2)^{2}+5

3. Therefore, the answer is the option C.


You might be interested in
Simplify <br> (-8.5) (-5) (-2).
Ber [7]

Answer:

-85

Step-by-step explanation:

(-8.5)(-5)(-2)

=(-8.5)(10)

=-85

8 0
3 years ago
A new dental bondlng agent. When bonding teeth, orthodontists must maintain a dry field. A new bonding adhesive(called "Smartbon
Gemiola [76]

Answer:

(a) <em>H</em>₀: <em>μ ≥ 5.70 </em><em>vs. </em><em>Hₐ</em>:<em>μ < 5.70</em>

(b) The rejection region is (<em>t₀.₀₁,₉</em> <em>≤ -2.821</em>).

(c) The value of the test statistic is -4.33.

(d) The true mean breaking strength of the new bonding adhesive is less than 5.70 Mpa.

Step-by-step explanation:

A hypothesis test should be conducted to determine that the if the true mean breaking strength of the new bonding adhesive is less than 5.70 Mpa.

(a)

The hypothesis is:

<em>H</em>₀: The true mean breaking strength of the new bonding adhesive is not less than 5.70 Mpa, i.e. <em>μ ≥ 5.70</em><em>.</em>

<em>Hₐ</em>: The true mean breaking strength of the new bonding adhesive is less than 5.70 Mpa, i.e. <em>μ < 5.70</em><em>.</em>

(b)

The alternate hypothesis indicates that the hypothesis test is left-tailed.

The rejection region for the left tailed test will be towards the lower tail of the t<em>-</em>distribution curve.

The significance level of the test is: <em>α</em> = 0.01.

The critical value is:

t_{\alpha ,(n-1)}=t_{0.01,(10-1)}=t_{0.01,9}

Use the <em>t-</em>table for the critical value.

t_{\alpha ,(n-1)}=t_{0.01,9}=-2.821

Since rejection region is in the lower tail the critical value will be negative.

Thus, the rejection region is (<em>t₀.₀₁,₉</em> <em>≤ -2.821</em>).

(c)

The test statistic value is:

t=\frac{\bar x-\mu}{s/\sqrt{n}}

Given:

\bar x=5.07\\s=0.46\\n=10\\\mu=5.70

Compute the value of the <em>t</em>-statistic as follows:

t=\frac{\bar x-\mu}{s/\sqrt{n}}=\frac{5.07-5.70}{0.46/\sqrt{10}} =-4.33

The value of the test statistic is -4.33.

(d)

The value of the test is less than the critical value.

t=-4.33

This implies that the test statistic lies in the rejection region.

Hence the null hypothesis will be rejected at 1% significance level.

<u>Conclusion:</u>

As the null hypothesis is rejected it can be concluded that the true mean breaking strength of the new bonding adhesive is less than 5.70 Mpa.

(e)

The conditions required for the <em>t-</em>test for single mean to be valid is:

  • The data should be continuous.
  • The parent population should be normally distributed.
  • The sample should be randomly selected.

5 0
3 years ago
Which is the better value? 12 bottles of juice for $15.00, or 18 bottles of juice for $23.04?
ozzi
Second option sound way better!
3 0
3 years ago
Read 2 more answers
Lyla took a total of 16 quizzes over the course of 4 weeks. After attending 8 weeks of school this quarter, how many quizzes wil
just olya [345]
32 quizzes. If you make a proportion of quiz/weeks it would be 16/4 = x/8. Multiply by 2.
3 0
3 years ago
On Saturday, Nikki and Tyler walked to the local farmer’s market. Nikki bought 8 apples for $6. Tyler bought 3 fewer apples than
Tems11 [23]

Answer:

$3.75

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Other questions:
  • If you earn $2850 per month and you expect your earnings to increase by 6.6% per year, how much do you think you will be making
    11·1 answer
  • Can you help me with this problem 5 divided by 0.8 work this out
    11·2 answers
  • Charity has 3 times as long a walk to school as Michele has and the difference between the distances they walk is ½ mile. How fa
    5·1 answer
  • Mario and Luigi were selling coupon books for the Video game club fundraiser. Apparently, Mario is a much better salesperson, be
    6·1 answer
  • How to solve this one I'm having trouble
    5·1 answer
  • -0.2×-5/7<br><br>please can i have some help
    7·1 answer
  • I need the answer to K/8-12=-8
    5·1 answer
  • During the week, Brittney earned 1/4 and 1/3 of her monthly bonus on two sales transactions. If those bonuses amounted to $840,
    14·1 answer
  • To subtract 136-87 using mental math Aaron subtract 136-90and go 46 what should he do next?
    12·2 answers
  • The graph of the absolute value parent function, f(x) = |x|, is stretched horizontally by a factor of 6 to create the graph of g
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!