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3 years ago

Zahara constructs 5 mirror frames in 30 minutes. At that rate, how many mirror frames can Zahara make in 9 hours

Mathematics

1 answer:

NARA [144]3 years ago

6 0

Answer:

90 mirrors

Step-by-step explanation:

If 5 mirrors=30 mins

then x=9 hrs

therefore 30÷60 to covert it to hours is equal to 0.5hr

5×9hrs÷0.5hr=90

therefore x=90

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If a polynomial has one root in the form a+√b , it has a second root in the form of a_√b

gulaghasi [49]

When roots of polynomials occur in radical form, they occur as two conjugates.
That is,
The conjugate of (a + √b) is (a - √b) and vice versa.
To show that the given conjugates come from a polynomial, we should create the polynomial from the given factors.

The first factor is x - (a + √b).
The second factor is x - (a - √b).

The polynomial is
f(x) = [x - (a + √b)]*[x - (a - √b)]
= x² - x(a - √b) - x(a + √b) + (a + √b)(a - √b)
= x² - 2ax + x√b - x√b + a² - b
= x² - 2ax + a² - b

This is a quadratic polynomial, as expected.

If you solve the quadratic equation x² - 2ax + a² - b = 0 with the quadratic formula, it should yield the pair of conjugate radical roots.
x = (1/2) [ 2a +/- √(4a² - 4(a² - b)]
= a +/- (1/2)*√(4b)
= a +/- √b
x = a + √b, or x = a - √b, as expected.

3 0

3 years ago

Read 2 more answers

Which kind of triangle is showing

Temka [501]

Answer:

it's an scalene triangle

having all the sides and angels different from each other

Step-by-step explanation:

brainliest plz

8 0

3 years ago

Read 2 more answers

It's a quartile question.

Mkey [24]

Answer:

D. 8

Step-by-step explanation:

the upper quartile = 8

5 0

3 years ago

Use a net to find the surface area of the right triangular prism shown below: Three rectangles next to each other with a width o

kifflom [539]

Area tells us the size of a shape or figure. It tells us the size of squares, rectangles, circles, triangles, other polygons, or any enclosed figure.

In the real world it tells us the size of pieces of paper, computer screens, rooms in houses, baseball fields, towns, cities, countries, and so on. Knowing the area can be very important. Think of getting a new carpet fitted in a room in your home. Knowing the area of the room will help make sure that the carpet you buy is big enough without having too much left over.

Calculating Area

Area is measured in squares (or square units).

How many squares are in this rectangle?

example of rectangle with area of 15 square units

We can count the squares or we can take the length and width and use multiplication. The rectangle above has an area of 15 square units.

7 0

4 years ago

The function f determines the cost (in dollars) of a new Honda Accord in terms of the number of years t since 2000. That is, f (

xenn [34]

Complete Question

The function f determines the cost (in dollars) of a new Honda Accord in terms of the number of years t since 2000. That is, f ( t ) represents the cost (in dollars) of a new Honda Accord t years after 2000. Use function notation to represent each of the following. The cost (in dollars) of a new Accord in 2006?

A. How much more a new Accord costs in 2013 as compared to the cost of a new Accord in 2010?

B. A new Accord in 2013 is how many times as expensive as a new Accord in 2010?

C. In 2016 , some cars cost $980 more than the cost of a new Accord.How much does the other cars cost (in dollars)in 2016?

Answer:

The cost of a new Accord in 2013 compared to 2010 is z = f(13) - f(10)

The magnitude at which the cost of a new Accord in 2013 is greater than the cost in 2010 is

$x = \frac{f(13)}{f(10)}$

The cost of the other cars is 2016 is r = 980 + f(16)

Step-by-step explanation:

From the question we are told that

The cost (in dollars) of a new Honda Accord is f(t)

Where t is number of years after 2000

The cost of the Honda Accord at 2013 is

f(2013 - 2000) = f(13)

The cost of the Honda Accord at 2010 is

f(2010 - 2000) = f(10)

So the cost difference between 2013 and 2010 is mathematically evaluated as

z = f(13) - f(10)

Let constant at which the cost of Honda Accord in 2013 is greater than its cost at 2010 be x

f(13) = x f(10)

=> $x = \frac{f(13)}{f(10)}$

The cost of the Honda Accord in 2016 is mathematically evaluated as

f(2016 - 2000) = f(16)

Now the cost of these other cars is mathematically evaluated as

r = 980 + f(16)

7 0

3 years ago