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.
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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.
Answer:
81%
Step-by-step explanation:
If there is a 30 percent chance a student will fail a class at Fresno State, we can simply multiply the percentage by the probabilities of all students failing. Every option available:
P(All four fail) = 1 student fails * 2 students fail * 3 students fail * 4 students fail
P(All four fail) = 0.3 * 0.3 * 0.3 * 0.3
P(All four fail) = 0.0081
0.0081 = 81%
The temperature reach to 48 degree Celsius in 2.5 minutes.
Equations are mathematical statements with twoalgebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
The temperature T in degrees Celsius of a liquid t minutes after heating is given by the formula T=8√t.
So, when the temperature = 48 degree Celsius
48 = 8√t
48/ 8 = √t
6 = √t
t= 2.445
t= 2.5 min
Hence, the time will taken 2.5 min.
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Answer:
B: (-infinity, 4]
b. 3
c. 4
d. cannot be determined