What is the solution of the system? Use substitution. 3x + 2y = 7
y = –3x + 11
A.
(6, -3)
B.
(6, -7)
D.
(5, -4)
C:
Answers
Hi Brainiac
3x+2y=7
y=-3x+11
We need to solve y=-3x+11 for y
Now let's start by substitute -3x+11 for y in 3x+2y=7
3x+2y=7
3x+2(-3x+11)=7
-3x+22=7
Now add -22 to both sides
-3x+22-22=7-22
-3x=-15
To find the value for x we need to divide both sides by -3
-3x/-3= -15/-3
x=5
Now we have the value for x :)
Let's find the value for y by substitute 5 for x in y=-3x+11
y=-3x+11
y=-3(5)+11
y=-4
Here you go :)
The answer is D
Good luck :0
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The range of values for which f(x) < 25 are -6 < x < 6. The correct answer choice is e).
To find the values of x for which f(x) < 25, we substitute the expression for f(x) into the inequality and solve for x.
Given f(x) = x² - 11, we need to find the values of x that make f(x) less than 25.
x² - 11 < 25
Adding 11 to both sides, we have:
x² < 36
To determine the values of x that satisfy this inequality, we take the square root of both sides. Since the squareroot of a number can be positive or negative, we consider both positive and negative solutions.
x < √36
x > -√36
Simplifying, we get:
x < 6
x > -6
Therefore, the correct answer choice is e) -6 < x < 6, as it represents the range of values for which f(x) < 25. This means that x can take any value between -6 and 6 (excluding -6 and 6) for the inequality to hold true.
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Answer: D
Step-by-step explanation:
5²-11=14
6^2-11= 25
14>25
as the question asks for something lower than 25 not lower/equal to the answer is D.
Answers
25% of 12 minutes = 25% * 12 = 25/100 * 12 = 3 minutes
12 minutes - 3 minutes = 9 minutes
The correct answer would be 9 minutes.
Answer: 9 minutes.
Step-by-step explanation: 12-3=9.
3 x 4 = 12, 3 x 3 x 3=9, 3 x 3 x 3 x 3=12, 4+4+4=12. So if you think about it, three goes into twelve four times, just like a quarter goes into a dollar four times, or 25 goes into 100 four times. So, if you take twelve minus three and equal it, it is nine.
Answers
Answer:
The difference in elevation between High Point and Low Point is of 753 feet.
Step-by-step explanation:
Since High Point is located at 673 feet above sea level (+673) and Low Point is located at 80 feet below sea level (-80), in order to know the difference in elevation between both points we have to do the following calculation:
673 - (-80) = Difference
673 + 80 = Difference
753 = Difference
The difference in elevation between High Point and Low Point is of 753 feet.
Express your answer in lowest terms.
1/3 times 2/9 =
Answers
Answers
Answer:
Step-by-step explanation:
let the 3rd side, the hypotenuse, be x
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
x² = 2² + 3² = 4 + 9 = 13 ( take square root of both sides )
x =
Answer:
√13 or 3.6
Step-by-step explanation:
It is a right triangle and you have the measure of the cathets, we use the Pythagorean theorem
√(3² + 2²) =
√(9 + 4) =
√13
Answers
Answer:
$392.37
Step-by-step explanation:
Data provided in the question:
The total finance charges paid for the year = $957
Joseph's total business charges on the card = 41% of all the charges
Now,
The amount of interest expense can be deducted on Joseph's Schedule C will be the Joseph's total business charges on the card
Therefore,
The amount of interest expense can be deducted on Joseph's Schedule C
= 41% of $957
= 0.41 × $957
= $392.37