To evaluate the expression for a=3 and b=2, substitute these values into the expression:
5(a+7)-6b
= 5(3+7)-6(2)
= 5(10)-6(2)
= 50-12
= 38
Therefore, the value of the expression for a=3 and b=2 is 38.
Evaluate the expression for a=3 and b=2
5(a+7)-6b
8 answers
Evaluate the expression using the given values.
|2xsquard-3y|;x=3, y=4
2xsquared-3y|=
|2xsquard-3y|;x=3, y=4
2xsquared-3y|=
To evaluate the expression |2x^2 - 3y| with x = 3 and y = 4, substitute these values into the expression:
|2(3)^2 - 3(4)| = |2(9) - 12| = |18 - 12| = |6| = 6
Therefore, the value of the expression |2x^2 - 3y| when x = 3 and y = 4 is 6.
|2(3)^2 - 3(4)| = |2(9) - 12| = |18 - 12| = |6| = 6
Therefore, the value of the expression |2x^2 - 3y| when x = 3 and y = 4 is 6.
Evaluate the following algebraic expression.
4/7a, if a =35
when a=35, 4/7a=
4/7a, if a =35
when a=35, 4/7a=
To evaluate the expression 4/7a when a = 35, substitute this value into the expression:
4/7a = 4/7(35) = 4/7 * 35 = (4*35)/7 = 140/7 = 20
Therefore, when a = 35, the value of the expression 4/7a is 20.
4/7a = 4/7(35) = 4/7 * 35 = (4*35)/7 = 140/7 = 20
Therefore, when a = 35, the value of the expression 4/7a is 20.
Represent the relationship shown in the table using words, an equation, and a graph. Then determine whether the relationship is a linear function.
Mountain Climbing
number of hours climbing, x elevation (ft) y
0 1129
1 1222
2 1315
3 1408
Mountain Climbing
number of hours climbing, x elevation (ft) y
0 1129
1 1222
2 1315
3 1408
Words: The relationship shown in the table represents the elevation (in feet) reached while mountain climbing as a function of the number of hours spent climbing.
Equation: The equation representing this relationship can be determined by finding the slope and y-intercept of the data points.
Using the points (0, 1129) and (1, 1222), we can find the slope: (1222 - 1129) / (1 - 0) = 93.
Using the slope-intercept form, y = mx + b, we can substitute the slope and one of the points to find the y-intercept:
1129 = 93(0) + b
b = 1129.
Thus, the equation representing the relationship is y = 93x + 1129.
Graph: On a graph, the x-axis represents the number of hours climbing and the y-axis represents the elevation in feet. The points would be plotted accordingly, and a straight line passing through these points would represent the relationship. (0, 1129), (1, 1222), (2, 1315), (3, 1408). The line would ascend steadily with a positive slope.
Linear Function: Yes, the relationship is a linear function because the equation that represents it is in the form y = mx + b, where the variables have a power of 1, and the graph is a straight line.
Equation: The equation representing this relationship can be determined by finding the slope and y-intercept of the data points.
Using the points (0, 1129) and (1, 1222), we can find the slope: (1222 - 1129) / (1 - 0) = 93.
Using the slope-intercept form, y = mx + b, we can substitute the slope and one of the points to find the y-intercept:
1129 = 93(0) + b
b = 1129.
Thus, the equation representing the relationship is y = 93x + 1129.
Graph: On a graph, the x-axis represents the number of hours climbing and the y-axis represents the elevation in feet. The points would be plotted accordingly, and a straight line passing through these points would represent the relationship. (0, 1129), (1, 1222), (2, 1315), (3, 1408). The line would ascend steadily with a positive slope.
Linear Function: Yes, the relationship is a linear function because the equation that represents it is in the form y = mx + b, where the variables have a power of 1, and the graph is a straight line.
Represent the relationship shown in the table using words, an equation, and a graph. Then determine whether the relationship is a linear function.
Mountain Climbing
Number
of Hours
Climbing, x
0,1,2,3
Elevation (ft), y
1123, 1215, 1307,1399
A. Starting from a height of 92 ft you gain 1123ft each additional hour of climbing.
B. Starting from a height of 92 ft you lose 1123ft each additional hour of climbing.
C. Starting from a height of 1123 ft you lose 92 ft each additional hour of climbing.
D. Starting from a height of 1123 ft you gain 92 ft each additional hour of climbing.
Mountain Climbing
Number
of Hours
Climbing, x
0,1,2,3
Elevation (ft), y
1123, 1215, 1307,1399
A. Starting from a height of 92 ft you gain 1123ft each additional hour of climbing.
B. Starting from a height of 92 ft you lose 1123ft each additional hour of climbing.
C. Starting from a height of 1123 ft you lose 92 ft each additional hour of climbing.
D. Starting from a height of 1123 ft you gain 92 ft each additional hour of climbing.