A student is trying to solve the system of two equations given below:Equation P: y + z = 6
Equation Q: 8y + 7z = 1
Which of these is a possible step used in eliminating the y-term?
(y + z = 6) ⋅ −8
(y + z = 6) ⋅ 7
(8y + 7z = 1) ⋅ 7
(8y + 7z = 1) ⋅ 8
Answers
Answer:
Option B is the correct answer.
Step-by-step explanation:
For eliminating y term we need to make coefficients of y in both equations same.
Equation P: y + z = 6
Equation Q: 8y + 7z = 1
Coefficients of y in equation P = 1
Coefficients of y in equation Q = 7
So we need to multiply equation P with 7.
That is (y + z = 6) x 7
Option B is the correct answer.
the student used the same equation !!!!
y+z=6 |*(-8)
8y+7z=1 |*1
==>-8z+7z=-48+1
==>-z=-47
==>z=47
(1)==>y=-47+6
==>y=-41
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(a + 2b + 3c) − (4a + 6b − 5c) is equivalent to? Can you please explain with some details?
Answers
isolate the x
1.80x + 3 (-3) = 12 (-3)
1.80x = 9
1.80x/1.80 = 9/1.80
x = 9/1.80
x = 5
you can travel up to 5 miles
hope this helps
$12 < $3 + $1.80m
subtract 3 from both sides
9 < 1.80m
divide both sides by 1.80
5 < m
ANSWER: They can travel 5 miles on $12.
Hope this helps! :)
Pls help
Answers
B. 5/6
C. 25/36
D. 10
Answers
Answer:
A
Step-by-step explanation:
Given a parabola in standard form, y = ax² + bx + c ( a ≠ 0 ), then
minimum/ maximum value is the y- coordinate of the vertex.
The x- coordinate of the vertex is
= -
y = x² - x +
← is in standard form
with a = 1 and b = - , thus
= -
=
Substitute this value into y
y = ( )² -
(
) +
= -
+
=
Since a > 1 then the vertex is a minimum, thus
minimum value = → A
Answers
The solutions for the given problems we have:
1) The solution of the inequality is:
x ≤ 2
2) The absolute value equation has two solutions:
z= 2
z = -12
3) The correct matches are:
5y + 2 = 5y + 8 this has no solutions
2*(y + 4) = 2y + 8 this has infinite solutions
5y + 2 = 2y + 8 This has a single solution.
Here, we have,
Remember that solving means to isolate the variable in one side of the expression.
1) We have the inequality:
-4x + 17 ≥ 9
-4x ≥ 9 - 17
x ≤ -8/-4
x ≤ 2
This is the solution of the inequality.
2) We have the absolute value function:
|5 + z| + 3 = 10
|5 + z| = 10 - 3 = 7
We can decompose this into:
5 + z = 7
5 + z = -7
Then the two solutions are:
z = 7 - 5 = 2
z = -7 - 5 = -12
3) The correct matches here are:
5y + 2 = 5y + 8 this has no solutions, these are parallel lines.
2*(y + 4) = 2y + 8 this has infinite solutions (all real numbers).
5y + 2 = 2y + 8 This has a single solution.
Learn more about inequalities:
#SPJ1
complete question:
HELP ASAP 30 POINTS 9TH GRADE MATH. WILL GIVE BRAINIEST IF CORRECT
Solve.
Question 1.
-4x + 17 ≥ 9.
Question 2.
| 5 + z | + 3 = 10.
Question 3.
Match to the correct one
5y + 2 = 5y + 8. 1. All real numbers
2 (y + 4) = 2y + 8. 2. No solutions
5y + 2 = 2y + 8 3. Infinity many solutions.
Answers
Total number of packs = 7+8=15
Paper clips in each pack = 25
Now multiply them
15*25=375
ANSWER:
He bought 375 paper clips
Answers
A set of ordered pairs in which each input has exactly one output is called a function. Then the correct option is D.
What is a function?
A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
A finitary relation over sets X1,..., Xn is a subset of the Cartesian product X₁, ....., Xₙ in mathematics; specifically, it is a set of n-tuples made up of the components xi in Xi. Typically, the relation describes a potential link between n-components. tuple's
A set of ordered pairs in which each input has exactly one output is called a function. Then the correct option is D.
More about the function link is given below.
#SPJ2
Answer: d! It’s a function
Step-by-step explanation: google says so,, beat that