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
Svetllana [295]
3 years ago
14

20-90x-50x^2 find the vertex

Mathematics
2 answers:
Leni [432]3 years ago
6 0

20-90x-50x^2, written in standard form, would be -50x^2 - 90x + 20. Let's use the method of completing the square to determine the vertex:

Divide all terms in -50x^2 - 90x + 20 by -50, obtaining -50(x^2 + (9/5)x - 2/5)

The coefficient of x is 9/5. Divide this by 2, obtaining 9/10, and then square this result: (9/10)^2 = 81/100. Add this to x^2 + (9/5)x - 2/5 and then subtract it, resulting in x^2 + (9/5)x - 2/5 + 81/100 - 81/100, or

x^2 + (9/5)x + 81/100 - 2/5 - 81/100, or

(x + 9/10)^2 - 12100

Then the vertex location is (-9/10, -12100).

A faster approach would be to use x = -b / (2a) to determine the x-coordinate of the vertex and then to evaluate the function at this x-value to determine the y-coordinate. Here x = -(-90) / (-100) = -9/10 (same as before).

lawyer [7]3 years ago
4 0
I think it’s your answer

You might be interested in
If ​$450 is invested for one year at 55​% simple​ interest, how much interest is​ earned?
Aleonysh [2.5K]
I think it is 550. 65
5 0
4 years ago
Read 2 more answers
What is the simplified value of the exponential expression 16 superscript one-fourth? 2 4
USPshnik [31]

The simplified value of the exponential expression is 2.

<h3>How to get the simplified expression?</h3>

Here we need to simplify the expression:

16^{1/4}

First, you need to remember that:

\sqrt[n]{x} = x^{1/n}

Then we can just write:

16^{1/4} = \sqrt[4]{16}

And now, you can remember that:

2*2 = 4

Then:

2*2*2*2 = 4*4 = 16

From this, we can conclude that:

2^4 = 16\\\\\sqrt[4]{16} = 2

So we conclude that the simplified value is 2.

If you want to learn more about exponential expressions:

brainly.com/question/11464095

#SPJ4

3 0
2 years ago
Please help<br><br><br> AOB = ?<br><br> BOC = ?<br><br> BOD = ?
goldfiish [28.3K]
From the diagram, we know that it is an angle that adds up to 360

So

x+4x+2x+10+5x+50=360


Gather like terms

12x+60=360

Move sixty to the other side as a negative number

12x=300

Divide both sirs by twelve

x is equal to 25

AOB is 2x+10

Sub x in 2*25+10

AOB is 60

BOC is 5x+50

5*25+50, which is 175

BOD is x+2x+10

Which is 3x+10

Sub x

3*25+10 which is 85

:)
7 0
3 years ago
Read 2 more answers
Graph the image of the given triangle under a dilation with a scale factor of −2 and center of dilation (0, 0) .
Ronch [10]

To dilate an object means to enlarge or reduce the size of the object. The scale factor will determine how much larger or smaller the object will become.  If this factor is greater than 1, the object will increase in size. Otherwise, if the factor is less than 1, the object will decrease in size. So, the dilated object will be similar to its original. On the other hand, when corresponding points of the original and dilated figures are connected by straight lines, the center of dilation is the point where all the lines meet. In this problem, the center is (0, 0). When the center is the origin we need to multiply all the original coordinates of the object by the scale factor given. So:


A(-4, 1) \rightarrow A'=-2(-4,1) \rightarrow A'(8,-2) \\ \\ B(-3, -4) \rightarrow B'=-2(-3,-4) \rightarrow B'(6,8) \\ \\ C(-2, -2) \rightarrow C'=-2(-2,-2) \rightarrow C'(4,4)


So, the graph of the dilated triangle is shown in the Figure below

8 0
3 years ago
Read 2 more answers
7. What is the area of the trapezoid shown? 4 cm 10 cm 8 cm W 10 cm​
Keith_Richards [23]

Answer:

88 ... .... . ... . . . ... ............... ....

5 0
3 years ago
Other questions:
  • 8x - 3(2x - 4) * - 9
    5·2 answers
  • Cuáles son los elementos básicos de la geometría euclidiana
    15·1 answer
  • 9 more than 4 times a number is the same as one less than twice the number . find the number
    9·1 answer
  • A circle has a circumference of 50.24 units. What is the radius of the circle?
    5·1 answer
  • The number used to divide is the
    12·2 answers
  • Susan Pollack had worked at Carl’s Garage as a receptionist for 22 years when she became permanently disabled. She was 55 years
    15·1 answer
  • If the area (in square units) of the region under the curve of the function f(x) = 4 on the interval [1, a] is 20 square units,
    9·2 answers
  • Quincy is having a sale at his store. He is selling a table for $450. If the sales tax is 8.5%, then how much will a customer ne
    14·1 answer
  • 3(x-3)=-3 <br> how many solutions would that be
    9·1 answer
  • Slope of (5,3) (-4,13)
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!