For this case we have the following equation:
From here, we must substitute ordered pairs of the form:
(x, y)
If the ordered pair satisfies the equation, then it belongs to the line.
We have then:
For (8, 5):
We substitute the following values:
We observe that the equation is not satisfied and therefore, this point does not belong to the line.
Since one of the points does not belong to the line, then the equation is not a good model.
Answer:
It is not a good model. One of the points does not belong to the line.
<u><em>Answer:</em></u>
A. (3x²-4x-5)(2x⁶-5)
<u><em>Explanation:</em></u>
<u>The fundamental theorem of Algebra states that:</u>
"A polynomial of degree 'n' will have exactly 'n' number of roots"
We know that the degree of the polynomial is given by the highest power of the polynomial.
Applying the above theorem on the given question, we can deduce that the polynomial that has exactly 8 roots is the polynomial of the 8th degree
<u>Now, let's check the choices:</u>
<u>A. (3x²-4x-5)(2x⁶-5)</u>
The term with the highest power will be (3x²)(2x⁶) = 6x⁸
Therefore, the polynomial is of 8th degree which means it has exactly 8 roots. This option is correct.
<u>B. (3x⁴+2x)⁴</u>
The term with the highest power will be (3x⁴)⁴ = 81x¹⁶
Therefore, the polynomial is of 16th degree which means it has exactly 16 roots. This option is incorrect.
<u>C. (4x²-7)³</u>
The term with the highest power will be (4x²)³ = 64x⁶
Therefore, the polynomial is of 6th degree which means that it has exactly 6 roots. This option is incorrect
<u>D. (6x⁸-4x⁵-1)(3x²-4)</u>
The term with the highest power will be (6x⁸)(3x²) = 18x¹⁰
Therefore, the polynomial is of 10th degree which means that it has exactly 10 roots. This option is incorrect
Hope this helps :)
Answer:
Bianca's height = 42 inches
Step-by-step explanation:
Let x be the Bianca height.
Given:
Meredith height = 60 inches
We need to find the Bianca height.
Solution:
From the given statement the Meredith's height is 
of Bianca's height plus 32 inches, so the equation is.
Meredith's height = 
Substitute Meredith's height in above equation.
Now we solve the above equation for x.
By cross multiplication.
28 divided by 2.
Therefore, the height of the Bianca is 42 inches.
Answer:
G = 14 - 1.75(t)
Where G is the number of gallons of gas remaining;
14 represents the amount of gas in gallons in the full gas tank of the vehicle
t is the number of hours
Step-by-step explanation:
Here, we want to write an equation.
We are told that the car uses 1.75 gallons of gas every hour and after 4 hours 7 gallons were left
In the 4 hours, the amount of fuel used will be 1.75 * 4 = 7 gallons
So therefore since we have 7 gallons left, the amount of gallons in the full tank of the vehicle will be 7 + 7 = 14 gallons
Hence, the equation we want to write will be;
G = 14 - 1.75(t)
Answer:
A.) TRUE
B.) TRUE
C.) FALSE
D.) FALSE
E.) FALSE
Step-by-step explanation:
Given that :
SMARTPHONE A:
RAM : 256 MB
ROM : 32 GB
CAMERA RESOLUTION : 8 MP
SMARTPHONE B:
RAM : 288 MB
ROM : 64 GB
CAMERA RESOLUTION : 4 MP
SMARTPHONE C:
RAM : 128 MB
ROM : 32 GB
CAMERA RESOLUTION : 5 MP
Determine the truth value of each of these propositions.
A) Smartphone B has the most RAM of these three smart- phones.
TRUE ; 288 > (256 and 128)
B) Smartphone C has more R O M o r a higher resolution camera than Smartphone B.
C ROM > B ROM = FALSE
C CAMERA RESOLUTION > B camera resolution = TRUE
FALSE or TRUE = TRUE
C.) Smartphone B has more RAM, more R OM, and a higher resolution camera than Smartphone A.
RAM = TRUE ; ROM = TRUE ; CAMERA RESOLUTION = FALSE
TRUE and TRUE and FALSE = FALSE
d) If Smartphone B has more RAM and more R O M than Smartphone C, then it also has a higher resolution camera.
CAMERA RESOLUTION ON SMARTPHONE B IS LESS, HENCE, STATEMENT = FALSE
e) Smartphone A has more RAM than Smartphone B i f and only if Smartphone B has more RAM than Smart- phone A.
1st statement = FALSE
2nd condition = TRUE
FALSE and TRUE
= FALSE
