Answer:
5/6
Step-by-step explanation:
1/3 + 1/2 =
2/6 + 3/6 = 5/6
Step (1) is incorrect. To divide by a number means to multiply by the reciprocal. In step (1) they did not convert the polynomial into its reciprocal.
<u>Answer:</u>
Swati - 465 , Matt - 289
<u>Explanation:</u>
Let Swati's score be x and Matt's score be y.
Since Swati won the game her score is obviously higher.
We are given the sum and difference between their scores which we can write as , x + y = 754 and x - y = 176.
Solving these two equations by adding them we get 2x = 930 so x = 465. Substituting x in x - y = 176 we get y = 289
Thus Swati scored 465 points and Matt scored 289 points.
The correct option regarding the slopes of the lines is:
The slopes are equal, so the lines are parallel.
<h3>When are lines parallel, perpendicular or neither?</h3>
A linear function is modeled by:
y = ax + b
In which a is the slope.
The slope determines if the two lines are parallel, perpendicular, or neither, as follows:
- If they are equal, the lines are parallel.
- If their multiplication is of -1, they are perpendicular.
- Otherwise, they are neither.
For the first line, we place the line in the standard format as follows:
2y = 6x + 2
y = 3x + 1.
For the second line, the slope is also of 3, hence they are parallel, as they have the same slope.
More can be learned about parallel, perpendicular lines and slopes at brainly.com/question/13657035
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Answer:
1. A) -6x^2+11x-4
2. C) (3x+7y)(3x-7y)
3. A) (x+7)(x+2)
4. not sure. D. 2 nonreal solutions
5. C) 11
Step-by-step explanation:
1. Multiply them together one by one. First multiply -3x by 2x-1 and then 4 times 2x-1.
2. The factored equation had to have one positive sign and one negative so when you got plus or negative 21xy, it will cancel out by a 21xy of the opposite sign
3. each parenthesis needs to have x because the equation has x^2. And the remaining numbers have to be numbers that sum up to 5. and play with the signs till you figure out the equation.
4. You have to do the discriminant thing that's like (-b±√b²-4ac)/2a and the degree of the equation shows how many solutions there is going to be.
5. Just try out all your options till you find the right answer.