Let x = # of Republicans
x + 4 = # of Democrats
x + x + 4 = 100
x = 48
48 + 4 = 52
There are 52 Democrats and 48 Republicans.
Answer:
1:4
Step-by-step explanation:
multiply both sides by 10 to get whole numbers which will be 6:24. then divide by the GCF which is 6 and you get 1:4
Answer:
B. The maximum occurs at the function's x-intercept.
Step-by-step explanation:
Given table:

From inspection of the table, we can see that:
and
This indicates <u>symmetry</u>.
The line of symmetry is the mid-point between the two x-values.
Therefore, the <u>line of symmetry</u> is x = -4
The vertex (minima/maxima) is on the line of symmetry, therefore the vertex is at (-4, 0). As the function decreases as x → 0, the vertex is a <u>maximum</u>.
As the y-value of the vertex is 0, the maximum occurs at the function's <u>x-intercept</u>.
Answer:
x = 18
Step-by-step explanation:
The angle vertically opposite (5x + 2) is also (5x + 2), then
(5x + 2) and (5x - 2) are same- side interior angles and sum to 180° , that is
5x + 2 + 5x - 2 = 180
10x = 180 ( divide both sides by 10 )
x = 18
Answer:
21.98 to the nearest hundredth.
Step-by-step explanation:
Geometric mean of x and y is √(xy)
= √(21*23)
= 21.98.