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
katrin [286]
2 years ago
15

Let ​f(x)=x2+10x+37​ .

Mathematics
1 answer:
Gnesinka [82]2 years ago
7 0

Answer:

f(x) = (x+5)^2 +12

The minimum value is 12

Step-by-step explanation:

f(x)=x^2+10x+37

The vertex will be the minimum value since this is an upwards opening parabola

Completing the square by taking the coefficient of x and squaring it adding it and subtracting it

f(x) = x^2+10x  + (10/2) ^2 - (10/2) ^2+37

f(x) = ( x^2 +10x +25) -25+37

    = ( x+5) ^2+12

Th is in vertex form y = ( x-h)^2 +k  where (h,k) is the vertex

The vertex is (-5,12)

The minimum is the y value or 12

You might be interested in
Sandy has 6 sheets of colored paper. She uses 4 sheets to make posters. She cute the remaining paper into equal rectangles to ma
katrin [286]
Sandy have to make 8 cards
7 0
3 years ago
The cost is $6.75 for 1 item. Find the cost of 8 items
scoray [572]

Answer:

$54

Step-by-step explanation:

Multiply the cost by the number of items

6.75x8=54

The cost is $54

5 0
3 years ago
Read 2 more answers
Hello. Is there anyone out there who can answer this for me? I truly appreciate it.
Kryger [21]
A. -1

(1,2) and (2,1)
slope = 2 -1 / 1 -2
slope = 1 / -1
slope = -1
7 0
2 years ago
Evaluate the algebraic expressions for the given value of each variable
baherus [9]
Plug in 4 for r and 1 for s

r+s^2
4+1^2

Evaluate exponents first (order of operations)
4+1

Add
5

Final answer: 5
4 0
3 years ago
Y=3x+22 <br> x is equal to 225
Svetach [21]

9514 1404 393

Answer:

  y = 697

Step-by-step explanation:

Put the value of x into the equation and do the arithmetic.

  y = 3·225 +22 = 675 +22

  y = 697

7 0
3 years ago
Other questions:
  • Which of the following expressions could give the total amount of a $45 restaurant bill with a 15% tip added on?
    9·1 answer
  • The measure of an angle is 78°. What is the measure of a complementary angle?
    9·2 answers
  • Solve for x. 4x + 5 = 20<br> a X = 5/4<br> b X = 15/4<br> c X = 3.5<br> d X = 15/3
    15·1 answer
  • Analyze this data, and match each percentage to the description it represents. Round your answers to the nearest whole number. 3
    9·1 answer
  • Petra jogs 5 miles in 40 minutes at the rate how long would it take her to jog 11 miles
    6·1 answer
  • How do we solve this problem?
    5·1 answer
  • Use the Algebra Tiles to construct the algebraic expression for this situation:
    11·1 answer
  • Find the slope in each line
    8·1 answer
  • Order these ratios from least to greatest- 7:2, 12 to 4, 20/6, 21:14, 10:5<br> pls :,)
    8·1 answer
  • Find the total surface area of this cuboid
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!