Answer:
(2, –3) is a solution to the system of linear equations.
Step-by-step explanation:
3x - y = 9
4 x + y = 5.
Add the equations
7x = 14
x = 2
Substitute it back into either original equation to find x
3(2) - y = 9
6 - y = 9
y = -3
4(2) + y = 5.
8 + y = 5
y = -3
x = 2
y = -3
(2, -3)
(2, –3) is a solution to the system of linear equations.
Answer: Expression :2.54 x
Number of centimeters in 12 inches : 30.48
Step-by-step explanation:
Hi, to answer this question we have to analyze the information given:
- <em>1 inch = 2.54 cm
</em>
So, to estimate the number of centimeters in x inches:
2.54 x
Where "x" is the number of inches.
To estimate the number of centimeters in 12 inches, we simply replace the variable "x" (number of inches) by the number 12.
Mathematically speaking:
2.54 (12)= 30.48 centimeters
Feel free to ask for more if needed or if you did not understand something.
Answer:
no 75
Step-by-step explanation:
look up 30% of 250 on google
The factors of the quadratic equation is (x + 1) and (x - 6)
Given,
The quadratic equation; -2x² + 10x + 12
We have to find the factors of this equation using quadratic formula;-
Quadratic formula;-
Here,
a = -2, b = 10 and c = 12
Now,
= = = (-10±14) ÷ -4
Solve for,
- 10 + 14 / -4 = -4/4 = -1
That is, (x + 1)
Solve for,
- 10 - 14 / -4 = -24/-4 = 6
That is, (x - 6)
Therefore, the factors for the given quadratic equation is (x + 1) and (x - 6)
Learn more about quadratic formula here;
brainly.com/question/9300679
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Refer to the diagram shown below.
Let the distance that Sassoon travels is d miles.
Let his average speed be x mph.
The time of travel is from 1 p.m. to 4 p.m., which is 3 hours.
Therefore
3x = d (1)
The distance that Archer travels is (d + 300) miles.
The time of travel is from 9 a.m. to 4 p.m., which is 7 hours.
The average traveling speed is (x + 20) mph, therefore
7(x + 20) = d + 300
That is,
7x + 140 = d + 300
7x = d + 160 (2)
Subtract (1) from (2).
7x - 3x = d + 160 - d
4x = 160
x = 40 mph (Sassoon's average speed)
x+20 = 60 mph (Archer's average speed)
From (1), obtain d = 120 mi
Answer:
Archer's speed is 60 mph.
Sassoon's speed is 40 mph.