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
Yanka [14]
2 years ago
8

What is the vertex of the parabola whose equation is y = (x + 1)2 + 3?

Mathematics
1 answer:
dusya [7]2 years ago
6 0

Answer:

(-1, 3)

Step-by-step explanation:

f(x) = a(x - h)² + k, where (h, k) is the vertex

You might be interested in
Which value of x makes this equation true?
sergejj [24]

Answer:

x=-5

Step-by-step explanation:

opening the bracket on the LHS, we have

-8x-40= -3x+x-7-3

-8x-40= -2x-10

collecting like terms

-8x+2x= -10+40

-6x= 30

divide both sides by -6

x= -5

6 0
3 years ago
Solve for the roots in simplest form by completing the square <br><br> x^2-12x+20=0
Alex17521 [72]

Answer:

x = 10 or x = 2

Step-by-step explanation:

Solve for x:

x^2 - 12 x + 20 = 0

Hint: | Solve the quadratic equation by completing the square.

Subtract 20 from both sides:

x^2 - 12 x = -20

Hint: | Take one half of the coefficient of x and square it, then add it to both sides.

Add 36 to both sides:

x^2 - 12 x + 36 = 16

Hint: | Factor the left hand side.

Write the left hand side as a square:

(x - 6)^2 = 16

Hint: | Eliminate the exponent on the left hand side.

Take the square root of both sides:

x - 6 = 4 or x - 6 = -4

Hint: | Look at the first equation: Solve for x.

Add 6 to both sides:

x = 10 or x - 6 = -4

Hint: | Look at the second equation: Solve for x.

Add 6 to both sides:

Answer: x = 10 or x = 2

5 0
3 years ago
Three pairs of gloves- a red pair, a blue pair, and a green pair-are in a drawer. If the gloves are removed at random without re
balandron [24]

Answer:

4

Step-by-step explanation:

Given that three pairs of gloves- a red pair, a blue pair, and a green pair-are in a drawer.  The gloves are removed at random without returning any to the drawer.

We have to find the minimum number that must be removed in order to guarantee having a matched pair of gloves

No of different colours = 3 (red, blue, green)

Hence no of gloves that must be removed = 3+1

If 4 gloves are removed, only 3 can be of different colours 1 will have same colour as any one of the three.

So a pair of same colour would be obtained

Answer is 4

8 0
3 years ago
What guides a researcher when deciding between using either linear, logistic, or Cox proportional hazards regression as an analy
castortr0y [4]

Answer:

The outcome variable type (continuous, binary, or time -to- event)

Explanation:

The outcome variable type is the type of variables involved in a research. The researcher would put the type of variable involved in his research into consideration in deciding what regression model to apply in his research. For example, if the type of variable in his research are continuous variables(continuous variables are variables that may be any value within a range and may be infinite), he would use linear regression

4 0
3 years ago
I need help with this!
Viefleur [7K]

Answer:

the answer is option E.

Step-by-step explanation:

it is in the form f/g (x).

we know f and g from the equation;

we can rewrite it as, (√(9-x^2)/(3x-1))

if you notice you cannot put any number less than -3 or greater than 3 in the numeror because if you do you get a negative root which is false. for instance if you put 4 or -4 in the numerator you get 9 - (4 or -4 square ) which is 9- 16 which is a negative number and you cannot take root of a negative number.

on the numerator if you put 1/3 as the value for x you will get zero in the denominator. and any number divided by zero is undefined so that cannot be.

this means that option E is the right one that satisfies the condition. it means the domain is [-3, 1/3) U (1/3, 3] .

4 0
2 years ago
Other questions:
  • In an examination 80% students passed. if 15 less have appeared and 10 less have passed, the ratio of passers to failures would
    11·1 answer
  • What is the value of c in the equation c−4.5=3.8 ?
    6·2 answers
  • Solve 6 - x - x = 18​
    12·2 answers
  • What is the slope of a line that contains the points (-2,2) and (3,4)
    9·2 answers
  • 125 thousandths = 1 tenth and ______ thousandths..... HELP
    13·1 answer
  • P(5,-3) Q(2,4) find distance​
    12·1 answer
  • There are 15 students in a social studies class. Two students will be selected to present their term projects today. In how many
    6·1 answer
  • The cosine of the complimentary angle to 58 degrees
    8·1 answer
  • asking this again because no one answered last time, Andre rode his bike at a constant speed. He rode 1 mile in 5 minutes. Write
    12·2 answers
  • Find the area of the figure.<br> Area: __ m2<br> (Please help I am not good at area)
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!