Make x the subject 5y + 2x = 25
1 answer:
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Answer:
See attached image
Step-by-step explanation:
This equation for a parabola is given in vertex form, so it is very simple to extract the coordinates of its vertex, by using the opposite of the number that accompanies the variable "x" in the squared expression (opposite of 2) for the vertex's x-value, and the value of the constant (-6) for the vertex's y-value.
The vertex coordinates are therefore: (-2,-6)
The equation of the axis of symmetry of the parabola is a vertical line passing through the vertex. Since all vertical lines have the shape x = constant in our case, in order to pass through (-2,-6) the vertical line is defined by the equation: x = -2.
See image attached to find the vertex drawn as a red point, and the axis of symmetry as an orange vertical line passing through it.
<u>Question</u>:
The ratio of students to teachers at a school is 19 : 1. How many students are there in each total number of people?
A: 100 people
b. 280 people
c.440 people
d.760 people
<u>Answer</u>:
A )95 students and 5 teachers
B)266 students and 14 teachers
C)418 students and 22 teachers
D)722 students and 38 teachers
<u>Step-by-step explanation:</u>
<u><em>A: 100 people</em></u>
Ratio = 19 : 1
The sum of the ratio is 19 + 1 = 20
Scale factor =
scale factor = 5
The number students is = 95
The number of teachers is = 5
<em><u>b. 280 people </u></em>
Ratio = 19 : 1
The sum of the ratio is 19 + 1 = 20
Scale factor =
scale factor = 14
The number students is = 266
The number of teachers is = 14
<em><u>c.440 people</u></em>
Ratio = 19 : 1
The sum of the ratio is 19 + 1 = 20
Scale factor =
scale factor = 22
The number students is = 418
The number of teachers is = 22
<em><u>d.760 people</u></em>
Ratio = 19 : 1
The sum of the ratio is 19 + 1 = 20
Scale factor =
scale factor = 38
The number students is = 722
The number of teachers is = 38