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
nataly862011 [7]
3 years ago
5

For the quadratic equations shown here, which statement is true?

Mathematics
1 answer:
Marina86 [1]3 years ago
8 0

Answer:

  1. opens upward; axis of symmetry is x = 5
  2. opens upward; axis of symmetry is x = 5
  3. opens upward; axis of symmetry is x = 5
  4. opens downward; axis of symmetry is x = 5

Step-by-step explanation:

The equation of a quadratic in vertex form is ...

  y = a(x -h)² +k

The coordinates of the vertex are (h, k), which means the axis of symmetry is x=h. All of your equations have h=5, so their axis of symmetry is x = 5.

__

For a > 0, the parabola opens upward; for a < 0, it opens downward. The first three equations have a > 0, so open upward. The last one opens downward.

You might be interested in
Ted jogged a total of 11.2 miles in 4 days. He jogged the same distance each day
marta [7]

Answer:

Part A: 2.8 miles

Part B: 16.8 miles

Step-by-step explanation:

First, solve for how many miles Ted jogged in 1 day:

Variable x = number of miles

11.2/4 = x/1

Cross multiply

11.2 × 1 = 4 × x

11.2 = 4x

Divide both sides by 4

2.8 = x

He jogged 2.8 miles every day.

To find how many miles Ted would jog in 6 days, simply multiply his miles per day by the number of days he will jog:

2.8 miles × 6 days = 16.8 miles in 6 days

3 0
3 years ago
A. 55<br> b. 70<br> c. 110<br> d. 125
morpeh [17]

Answer:

b

Step-by-step explanation:

7 0
3 years ago
Could you help with maths please? All shown on the picture :)
uysha [10]

Answer:

4 is tenths (a) and 5 is hundredths (b)

Step-by-step explanation:

Now, 0.45

0 indicates the ones place (it comes before the decimal)

0.45 can also be written as:

0.4+0.05

= 4/10+5/100

what can we conclude from this?

we can say that 4 is in the tenths whilst 5 is in the hundredths.

therefore, a is 4 and b is 5.

Hope this helps you! :)

8 0
3 years ago
The area of a square can be tripled by increasing the length and width by 10 inches. What is the original length of the square?
trapecia [35]
The new square has length: 10 + l, where l is the original length of the square, and it's area is (10 + l)^2;
So, we solve the equation: 3 x l^2 = (10 + l)^2;
Then, 3 x l^2 = 100 + 20 x l + l^2;
Finally, 2xl^2 - 20xl - 100 = 0;  / ÷2;
l^2 - 10l - 50 = 0 (we use the quadratic equation formula);
The only positive solution is l = 5(1+ \sqrt{3} );


5 0
3 years ago
What is the value of x/3y , when x = 18 and y = 3?
tekilochka [14]

So when you work with variables (x, y or any other letter), when they're beside a number it usually means to multiply.

So 3y can also be written as 3(3). So 3 multiplied by 3 is equal to 9

So now our problem looks like this,

x/9.

Since we already know what x is equal to, our problem will look like this

18/9.

So now all we have to do is divide.

18 divided by 9 is 2

So therefore, your answer is 2.


I hope this helps :)

3 0
4 years ago
Other questions:
  • Beth is using triangular shaped pieces to cover the front of a pillow. The base of each triangle is 9 inches and the height of
    11·2 answers
  • The Red Sox have won 3 World Series titles in the last 11 years. At this rate, how long will it take them to win 20 World Series
    12·2 answers
  • How does the graph of f(x)=3lx+2l+4 relate to its parent function?
    10·1 answer
  • Factor the question completely
    14·1 answer
  • Standard form 12ten thousands, 8 thousand, 14 hundreds, 7 ones
    12·1 answer
  • Please help and explain good luck
    15·1 answer
  • What is the greatest common factor of the terms in the expression 21 x minus 18 x + 28 x y?
    5·2 answers
  • Is 2/6 rational or irrational
    6·2 answers
  • Miguel earns extra money washing cars on the weekend. He washes 5 cars per hour and earns $14.50 per car.
    8·1 answer
  • Which calculation and answer show how to convert 3/12 to a decimal?
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!