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
Ksenya-84 [330]
3 years ago
8

Convert the following quadratic equation to standard form: y= -2(x+3)^2+1

Mathematics
1 answer:
Savatey [412]3 years ago
4 0

Answer: -2x^2-12x-17

Step-by-step explanation:

-2(x+3)^2+1 Original equation

-2(x^2+3x+3x+9)+1 factor (x+3)(x+3)

-2x^2-12x-18+1 Multiply the factored part by -2

-2x^2-12x-17 Combine like terms

You might be interested in
If a rectangle's length is 7 more than 4 times the width and the perimeter is 54 what are the dimensions of the rectangle?
Rus_ich [418]
Let w = width of the rectangle 
<span>4w+7 = length of the rectangle </span>

<span>perimeter = 2 lengths + 2 widths </span>

<span>2w + 2(4w+7) = 54 </span>
<span>2w + 8w + 14 = 54 </span>
<span>10w = 40 </span>
<span>w = 4 </span>
<span>4w+7 = 23 </span>

<span>dimensions of rectangle: </span>
<span>width = 4 </span>
<span>length = 23 hope this helps</span>
4 0
3 years ago
Graph each absolute value function. State the domain, range, and y-intercept.
lions [1.4K]

Answer:

I. D: x\in R

ii. R: y\le0

iii. Y-int: b=-6

Step-by-step explanation:

i) The given absolute value function is

y=-3|x+2|

The domain is all values of x that will make the function defined.

The absolute value function is defined for all real numbers.

The domain is all real numbers.

ii) The range is the values of y for which x is defined.

The given absolute value function is

y=-3|x+2|

This function has the vertex at (-2,0) and it is reflected in the x-axis therefore the vertex is the maximum point on the graph.

The y-value of the vertex is the maximum value on the graph.

Hence the range is y\le0

iii) To find the y-intercept, we put x=0, into the function to get;

y=-3|0+2|

y=-3|2|

y=-3(2)

y=-6

The y-intercept is b=-6 or (0,-6)

See graph in attachment.

5 0
2 years ago
3 kg of beef costs £51<br> Max buys 2 kg of beef.<br> Work out how much Max pays
balandron [24]

Find the rate:

51 ÷ 3 = £17

1 kg of beef = £17

2 kg of beef = £17 × 2 = £34

2 kg beef = £34

3 0
2 years ago
Nina ran 12 4/5 laps in 1/4 of an hour. At this rate, how many laps could she run in an hour? (Simplify your answer completely)
kozerog [31]

i think the answer is 42 but i don’t know how to get in into its smallest form but i hope this helps

5 0
3 years ago
Determine the value of x<br>(2x+19) + (3×+8)​
sergey [27]

Answer:

2x-37

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Other questions:
  • The graphs of f(x) = 10^x and its translation, g(x), are
    9·1 answer
  • Let f(x) =45x^2 – 2x + 1.  What is the value of f(5) · f(–10) – f(–5) · f(10)?
    7·1 answer
  • Solve the equation f/6= 2.5
    12·1 answer
  • A bag of ice pops contains 2 flavored raspberry, 5 flavored lemon, and 3 flavored lime. Find the probability of each event.
    6·1 answer
  • When angles complementary,the sum of their mesures is 90 degrees. Two complementary angles have measures of 2x-10 degrees and 3x
    8·1 answer
  • What is the rate of change
    5·1 answer
  • The minimum value of the slope of the curve y=x^5+x^3−2x is: A. 0
    10·1 answer
  • Twenty pounds of strawberries are being shared equally by a group of friends.the equation 20 divided by 5=4 represents the divis
    12·1 answer
  • Costco is selling boxes of pomegranates for $18.99. if a box contains 6 pomegranates, what is the cost of one pomegranate?
    7·1 answer
  • What is the answer I have to type in the yellow boxes?
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!