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
HACTEHA [7]
3 years ago
10

What is the range of y = (x - 5)^2 – 1?

Mathematics
1 answer:
Setler79 [48]3 years ago
8 0

1.  The graph is a parabola.

2. The parabola opens up, because there's no negative number in front of (x-5)^2.

3. The vertext is (5,-1), because of the vertex form.

This means that that -1 will be the least y-value used on the graph and the garph will open up from there.

The range is (-1, infinity) or { y | y > -1 }.

You might be interested in
8) Write an absolute value equation that has 5 and 15 as its solutions?
marissa [1.9K]
(I'm going to use brackets as my absolute value bars lol)
 [5 x -3]
[-15]
=15
7 0
3 years ago
Please help
vagabundo [1.1K]
I would say no to that.
4 0
3 years ago
Find the area of a plane figure bounded by lines
natulia [17]

Answer: 4.5

<u>Step-by-step explanation:</u>

First, find the points of intersection by solving the system.

y = x² + 2x + 4

y = x + 6

Solve by substitution:

x² + 2x + 4 = x + 6   ⇒   x² + x - 2 = 0   ⇒   (x + 2)(x - 1) = 0   ⇒   x = -2, x = 1

Now, integrate from x = -2 to x = 1

\int\limits^1_2 {(x+6)-(x^{2}+2x+4) } \,    <em>the bottom of the integral is -2 </em>

= \int\limits^1_2 {x+6-x^{2}-2x-4 } \,

= \int\limits^1_2 {-x^{2}-x+2 } \,  

= \frac{-x^{3}}{3} - \frac{x^{2}}{2}+2x\int\limits^1_2 {} \,

= (\frac{-1^{3}}{3} - \frac{1^{2}}{2}+2(1)) - (\frac{-(-2)^{3}}{3} - \frac{(-2)^{2}}{2}+2(-2))

= (\frac{-1}{3} - \frac{1}{2} +2) - (\frac{8}{3} -\frac{4}{2} -4)

= \frac{-9}{3} + \frac{3}{2} +6

= -3 + 1.5 + 6

= 4.5


3 0
3 years ago
1. Suma a trei numere este 176. Al doilea numar este cu 28 mai mare decat al treilea, iar primul este egal cu diferenta acesteia
baherus [9]
Răspunsul corect va fi numărul 4. Supãrat dacã meu vorbind nu este cel mai bun, vorbesc limba engleza. Dacă ai nevoie de numere consecutive, sunt 99, 102 şi 103. 
7 0
3 years ago
3. Solve the following application of a system of linear equations.
zhuklara [117]

Answer:

Equations:

y =  14 + 9 x --- Cindy

y = 10 x --- Ruben

Solution to equation:

Time they have the same amount: 14 minutes

Number of cards they have at that time: 140 flashcards

Step-by-step explanation:

Solving (a): Variables and what they represent

The variables to use are x and y

Where x represent the minutes and y represents the number of flashcards in x minutes

Solving (b): System of linear equation

Cindy:

Existing\ Flashcards = 14

Additional = 9 per minute

Total number of flashcards (y) in x minutes is:

y =  Existing\ Flashcards + Additional * x

y =  14 + 9 * x

y =  14 + 9 x

Ruben:

Rate = 10 per minute

Total number of flashcards (y) in x minutes is:

y = Rate * x

y = 10 * x

y = 10 x

Solution to Equations:

Time they have the same amount.

To do this, we equate both expressions

i.e.

10x = 14 + 9x

Collect Like Terms

10x - 9x = 14

x = 14

Number of cards they have at that time.

Here, we simply substitute 14 for x in any of the equations.

y = 10 x

y = 10 * 14

y = 140

or

y =  14 + 9 x

y = 14 + 9 * 14

y = 14 + 126

y = 140

4 0
2 years ago
Other questions:
  • Factor completely x3y6 – 64
    10·1 answer
  • What is the product of -2 1/2 and -3 1/3
    12·1 answer
  • A bag contains 7 red marbles, 5 yellow marbles, 6 blue marbles, 4 green marbles, and 3 orange marbles. What is the probability o
    14·2 answers
  • myles and stephen participated in the long jump at the track meet . Myles jumped 4 7/10 meters. Stephens jump was 3 4/5 meters w
    8·1 answer
  • HELPP MEEEEEEEEE PLEASE
    13·2 answers
  • 4 divided by 457. Please list the steps
    15·2 answers
  • How do you simplify 14.938 - 14.93 ? <br><br> Please help
    10·1 answer
  • The number of positive resl rootd for the expression for -3x³+8x²-7x+10=0 is less than or equal to​
    9·1 answer
  • Please answer this Yall
    10·1 answer
  • I will give brainliest to the person who answers all questions
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!