When you are substituting equations, all you are doing is plugging in variables. Lets do an example..something random but easy...
y = 2x - 3
4x + 2y = 10
So since 2x + 3 equals y we are going to plug in those numbers into the second equation.
4x + 2(2x - 3) = 10
Now we distribute
4x + 4x - 6 = 10
Combine like terms.
8x - 6 = 10
Add 6 to both sides.
8x = 16
Divide.
x = 2
And thats how you substitute equations.
I hope this helps love! :)
Answer:
90.75%
Step-by-step explanation:
Given;
Of the total final score;
Quizzes = 15%
Exam = 55%
Project = 25%
Attendance = 5%
Resolving the values of each section of the total score;
she had perfect attendance to class. 100% attendance;
Attendance = 5% of total score
She got extra credit on her project with a score of 26 out of 25 possible points.
Project = 26/25 × 25% = 26%
80, 85, and 96 on the first three exams,each worth 100 points;
Total exam score = 80+85+96 = 261 out of 300
Of the total score;
Exam = 261/300 × 55% = 47.85%
At mid-semester Juanita scored 119 out of 150 points on quizzes.
Quizzes = 119/150 × 15% = 11.9%
Total exam score is;
= Quizzes+exam +project+attendance
= 11.9% + 47.85% + 26% + 5%
= 90.75%
Answer:
a rotation about with a scale factor of 1.9 followed by a rotation of -30%
Answer:
x != -2, x^2 + 1, 1/5
Step-by-step explanation:
(a) It can be understood that nothing can divide 0
thus denominator cannot be 0 meaning x cannot be -2.
(-2 + 2) = 0
(b) y = sqrt(x-1)
inverse meaning we make x the subject
square both sides
y^2 = x - 1
y^2 + 1 = x
inverse = x^2 + 1
(c) composite function:
pass g(10) as domain of f
g(10) = 3, f(3) = 1/(5) = 1/5
We are given:
- Parallelogram CDEF
- ∠C = 13x - 10
- ∠D = 5x + 10
To Find: ∠E
Concept Used:
- Adjacent angles of a Parallelogram are Supplementary
Finding the value of 'x':
Since adjacent angles of a parallelogram are Supplementary:
∠D + ∠C = 180
5x + 10 + 13x - 10 = 180 [replacing the values of angle C and D]
18x = 180
x = 10 [dividing both sides by 18]
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Finding Measure of Angle D:
We are given that:
∠D = 5x + 10
∠D = 5(10) + 10 [since x = 10]
∠D = 60°
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Finding the measure of ∠E:
∠D and ∠E are Adjacent angles
Since Adjacent angles are Supplementary:
∠D + ∠E = 180
60 + ∠E = 180
∠E = 120° [subtracting 60 from both sides]
Hence, the measure of ∠E = 120°