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3 years ago

If the discriminant of a quadratic equation is 6, how many solutions does the equations have?

1 answer:

6 0

If d=6, there are two real solutions.

Rule if d=discriminant:

d>0, two real solutions

d=0, one real solution

d<0, no real solutions (but there are two imaginary solutions)

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Pierre drove his motorcycle 120 miles in 3 hours. At this rate how many miles can he drive in 8 hours?

Fed [463]

Set up a proportion having 120 over 3 = x over 8
cross multiply with 3x = 960
then divide by 3
the answer is 320 miles

8 0

3 years ago

What is the relationship between the conversion factors used in Part A of Model 2? Whatabout the conversion factors used in Part

Lelu [443]

Given:

The conversions from meter to inches and inches to meter are shown in part A of model 2.

The conversions from liters to quarts and quarts to liters are shown in part B of model 2.

Required:

To find the relationship between the conversion factors used in Part A of Model 2.

To find the relationship in the the conversion factors used in Part B of Model 2.

Explanation:

We have given that 1 meter = 39.4 inches.

Thus, from the calculations shown in part A of model 2, we can conclude that the quantity from meters to inches is converted as:

$1.5\times39.4=59$

Thus, 1.5 m =59 inches.

Also, the quantity from inches to meters is converted as:

$\frac{59}{39.4}=1.5$

Hence, 59 in = 1.5 m.

Next,

We have 1 L = 1.06 qt.

Thus, from the calculations shown in part B of model 2, we can conclude that the quantity from quarts to liters is converted as:

$\frac{186}{1.06}=175$

Thus, 186 quarts = 175 L.

Also, the quantity from liters to quarts is converted as:

$175\times1.06=186$

Hence, 175 L = 186 qt.

Final Answer:

We conclude that:

While converting from meters to inches, we multiply the quantity 1.5 by the equality quantity given.

While converting from incehs to meters, we divide the quantity 59 by the equality quantity given.

Also, While converting from quarts to liters, we divide the quntity 186 by the equality quantity given.

While converting from liters to quarts, we multiply the quntity 175 by the equality quantity given.

6 0

1 year ago

Find the area of a triangle with base of 6m and height of 15m

dusya [7]

Answer:

45 meters

Step-by-step explanation:

$Area=\frac{1}{2}bh\\ A=\frac{1}{2}(6)(15)\\ A=3(15)\\A=45$

7 0

2 years ago

Read 2 more answers

When factorising a quadratic trinomial of the form ax^2 + bx + c, we need to find two numbers which ???? (see image for options)

kupik [55]

Answer: Choice E

multiply to give a*c and add to get b

===========================================

This is known as the AC factoring method based on how you multiply the first and last coefficients (a and c) and use that product to figure out which factors add to the middle coefficient.

---------

An example:

6x^2 + 35x + 50

We have a = 6, b = 35, c = 50

Multiply a and c and we get: a*c = 6*50 = 300

We need to find factors of 300 that pair up and add to 35

Through trial and error you should find,

15 * 20 = 300

15 + 20 = 35

The two numbers are therefore 15 and 20.

So we break 35x into 15x+20x and use the factor by grouping method

6x^2 + 35x + 50

6x^2 + 15x + 20x + 50

(6x^2 + 15x) + (20x + 50)

3x(2x + 5) + 10(2x + 5)

(3x + 10)(2x + 5)

We see that 6x^2 + 35x + 50 factors to (3x + 10)(2x + 5)

Use the FOIL method or the box method or distribution to help see that (3x + 10)(2x + 5) expands back to 6x^2 + 35x + 50.

3 0

3 years ago

How to do this question plz?

True [87]

Answer:

Ratio of George age to Carl's age to Alex age = 1 : 12 : 4

Step-by-step explanation:

Let the age of Alex = A years

Age of George = G years

And age of Carl = C years

"Alex is 12 years older than George"

A = G + 12 ------(1)

"Carl is 3 times older than Alex"

C = 3A

C = 3(G + 12)

C = 3G + 36 ------(2)

"Sum of their ages is 68 years"

A + G + C = 68 ------(3)

By substituting the values of A and G in equation (3)

G + 12 + G + 3G + 36 = 68

5G + 48 = 68

5G = 20

G = 4 years

From equation (1),

A = 4 + 12 = 16 years

From equation

C = 3(4) + 36

C = 12 + 36

C = 48 years

Ratio of their ages = G : C : A

= 4 : 48 : 16

= 1 : 12 : 4

3 0

3 years ago