answer.
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
shusha [124]
2 years ago
9

A quadratic function has a line of symmetry at x = –3.5 and a zero at –9. What is the distance from the given zero to the line o

f symmetry? What is the other zero of the quadratic function?
Mathematics
1 answer:
kap26 [50]2 years ago
8 0

Given:

A quadratic function has a line of symmetry at x = –3.5 and a zero at –9.

To find:

The other zero.

Solution:

We know that, the line of symmetry divides the graph of quadratic function in two congruent parts. So, both zeroes are equidistant from the line of symmetry.

It means, line of symmetry passes through the mid point of both zeroes.

Let the other zero be x.

-3.5=\dfrac{(-9)+x}{2}

Multiply both sides by 2.

-7=-9+x

Add 9 on both sides.

-7+9=-9+x+9

2=x

Therefore, the other zero of the quadratic function is 2.

You might be interested in
Ethan enjoys buying books and going to the movies. He has income of $150 to spend on these two goods each month. The price of a
erica [24]

Answer: A

Step-by-step explanation:

A.) the substitution effect would predict Ethan would consume less books and more movies and the income effect would predict he would consume less of both.

B.) the substitution and income effects would both predict Ethan would consume less of both goods.

C.) the substitution effect would predict Ethan would consume more books and less movies, and the income effect would predict he would consume less of both.

D.) the substitution and income effects would both predict Ethan would consume more of both goods.

If he continuos to buy 4 books ans 6 movies the total amount is $170, that he does not have. He has to buy less books or go less to the movies.

A global efect of a certain good (X) price rise can be divided into 2 efects:

  • substitution effect: indicates a demand reduction of X, resulting from the price rise, making X less atractive to consumption
  • income effect: indicates a reduction of the demanded quantity of X resulting from the reduction of the acquisition power created by the rise of X price.

So, answer is A.

5 0
2 years ago
This​ year, druehl,​ inc., will produce 57 comma 60057,600 hot water heaters at its plant in​ delaware, in order to meet expecte
ivolga24 [154]
If one labour works 200 hours per month, the amount of hot water heaters the labour can produce is = 200 × 0.25 = 50 hot water heaters

The demand is to produce 57600 hot water heaters

The number of labourers employed is 57600 ÷ 50 = 1152 labourers
5 0
2 years ago
If f(x) =[x] −2 + 8, what is f(−1.8)? 4 6 10 12
Agata [3.3K]
F(x) = [x] - 2 + 8
[x] is the notation for 'greatest integer function'
f(-1.8) = [-1.8] - 2 + 8 = -2 -2 + 8 = 4
The answer is 4
8 0
2 years ago
Read 2 more answers
On a piece of paper, graph y&lt; x-3. Then determine which answer matches<br> the graph you drew
Aneli [31]

Answer:

The graph is shown below.

Step-by-step explanation:

Given:

The inequality of a line to graph is given as:

y

In order to graph it, we first make the 'inequality' sign to 'equal to' sign. This gives,

y=x-3

Now, we plot this line on a graph. The given line is of the form:

y=mx+b Where, 'm' is the slope and 'b' is the y-intercept.

So, for the line y=x-3, m=1,b=-3

The y-intercept is at (0, -3).

In order to draw the line correctly we find another point. Let the 'y' value be 0.

Now, 0=x-3\\x=3

So, the point is (3, 0).

Now, we mark these points and draw a line passing through these two points.

Now, consider the line inequality y. The 'y' value is less than x-3. So, the solution region will be region below the line and excluding all the points on the line. So, we draw a broken line and shade the region below it.

The graph is shown below.

5 0
2 years ago
A rectangular block measures 3 cm x 4 cm x 3 cm how much water would it displace?
nika2105 [10]

Answer:

36c^3m^3x^2

Step-by-step explanation:

  1. you first multiply 3 cm by 4 cm by 3 cm to get 36 cm.
  2. its mass in air and its effective mass when submerged in water (density = 1 gram per cubic centimeter).
  3. 1.0 g/cm3
  4. then you get the answer 36c^3m^3x^2
4 0
2 years ago
Other questions:
  • Why would someone choose to use a graphing calculator to solve a system of linear equations instead of graphing by hand? Explain
    10·2 answers
  • What is the constant of proportionality represented in the graph?
    8·1 answer
  • the dimensions of a square are altered so that 8 inches is added to one side while 3 inches is subtracted from the other. the ar
    6·1 answer
  • Jody bought 20 shares of amazon at the close price of $121.00. She bought 20 more shares a year later at the price of $127.00. T
    9·2 answers
  • Company A charges $331.35 per week for a compact car with unlimited miles. Company B charges $175 per week plus $0.53 per mile,
    8·1 answer
  • Jamal works as an electrician's apprentice. He rewired 4 electrical outlets in 1 and one-halfhours. If he works at the same pace
    8·2 answers
  • Jerry has an insurance policy with a premium of $150 per month. In June, he’s in an accident and receives a bill with a total co
    9·1 answer
  • A pipe cleaner lay across a wire shelf. The wires that make up the shelf are parallel, and the pipe cleaner is a transversal. Th
    5·1 answer
  • In politics, marketing, etc. We often want to estimate a percentage or proportion p. One calculation in statistical polling is t
    9·1 answer
  • Company A charges $3.25 per spirit banner. The equation C=2.45x represents the cost in dollars, C, for x spirit banners at Compa
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!