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
mylen [45]
1 year ago
13

If zeba were younger by 5 years than what she really is then the square of her age would have been 11 more than five times her a

ctually age. What is her age now?​
Mathematics
2 answers:
8090 [49]1 year ago
6 0

Answer:

I am not 100% confident, but I think that she is 11.

Step-by-step explanation:

RSB [31]1 year ago
5 0

Answer:

14 years old

Step-by-step explanation:

<u>Define the variable</u>

Let x be the actual age of Zeba (in years).

<u>Create an equation</u> using the give information and the variable x:

(x - 5)^2=5x+11

To find Zeba's age now, <u>solve the equation for x</u>.

Expand the brackets:

\implies x^2-10x+25=5x+11

Subtract 5x from both sides:

\implies x^2-10x+25-5x=5x+11-5x

\implies x^2-15x+25=11

Subtract 11 from both sides:

\implies x^2-15x+25-11=11-11

\implies x^2-15x+14=0

<u>Factor the found quadratic</u>

To factor a quadratic in the form ax^2+bx+c<em>, </em>find two numbers that multiply to ac and sum to b, then rewrite b as the sum of these two numbers:

\implies x^2-14x-x+14=0

Factor the first two terms and the last two terms separately:

\implies x(x-14)-1(x-14)=0

Factor out the common term (x - 14):

\implies (x-1)(x-14)=0

Apply the <u>zero product property</u>:

\implies (x-1)=0 \implies x=1

\implies (x-14)=0 \implies x=14

Therefore, Zeba's age now is either 1 or 14 years.

As the question states "If Zeba were younger by 5 years" then 1 must be an <u>extraneous solution</u> since 1 - 5 = -4 and Zeba cannot be -4 years old.

Therefore, Zeba's age now is 14 years old.

<u>Check</u>

Given the actual age of Zeba is 14 years old.

Therefore, If Zeba were younger by 5 years, she would be 9 years old as:  14 - 5 = 9

The square of 9 is:  9² = 81.

5 times her actual age:  5 × 14 = 70

81 is 11 more than 70, hence verifying that her <u>actual age is 14 years old</u>.

Learn more about quadratic equations here:

brainly.com/question/27956741

brainly.com/question/27947331

You might be interested in
When putting a number into scientific notation, the number you use must be between what two numbers?
Goshia [24]

Answer:

1 and 10

Step-by-step explanation:

can't be less than 1 but can't be more than 10

4 0
3 years ago
A number and its absolute value are equal. If you subtract two from the number, the new number and its absolute value are not eq
r-ruslan [8.4K]

A number and its absolute value are not equal when the number is less than zero. Since subtracting 2 makes the number less than zero, we know ...

... the number is a non-negative number less than 2. (0 ≤ n < 2)

5 0
3 years ago
Here's a graph of a linear function. Write the
zmey [24]

Answer:

  y = -2x -5

Step-by-step explanation:

The line crosses the y-axis at -5. So, b = -5.

It goes down 2 units for each 1 unit to the right, so has a slope of ...

  m = rise/run = -2/1 = -2

__

The slope-intercept form of the equation of a line is ...

  y = mx +b      where m is the slope and b is the y-intercept

For the slope and y-intercept shown, the equation is ...

  y = -2x -5

5 0
3 years ago
Every irrational number is a real justify your answer<br>​
vivado [14]

Step-by-step explanation:

A real number MUST be able to be represented on a number line.

All numbers can be placed on a number line including irrational numbers.

Numbers like π can be placed between 3.13 and 3.15. It is a number.

Numbers like x or ∑ isn't a "REAL" number because it has no value.

5 0
3 years ago
Plz help i need it bad
lakkis [162]

Answer:

See below

Step-by-step explanation:

Vertices are the black dots of the figure:

Point Q is at (1,4)

Point R is at (3,-2)

Point S is at (0,-1)

Point T is at (-2,2)

5 0
3 years ago
Read 2 more answers
Other questions:
  • The rectangle is 22cm along the base
    6·1 answer
  • Hit or miss? I need the answer u chicken feet
    15·2 answers
  • The area of circle h is 200.96 square feet. what are the radius and diameter of circle h? what is the circumference of circle h?
    13·1 answer
  • on June 30th, the temperature was 85 degrees F. what would the temperature be if it was 4 degrees warmer
    12·1 answer
  • Help!!! and in terms of pi!! please
    14·1 answer
  • Simplify expression 1/2[6m+10]
    5·1 answer
  • Convert 52km to miles
    11·1 answer
  • A research team aboard an underwater research vessel descends 1,500 feet beneath the surface of the water. They then rise 525 fe
    12·1 answer
  • Please help I am struggling with math and this is one of the problems I can’t find a answer to
    12·1 answer
  • Which of the following terms is defined as a set of all points in a plane that are a given distance from a point?
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!