Answer:
Step-by-step explanation:
there is 15 emperor penguins...they make up 30% of all the penguins
so 30% of all the penguins is 15
let x represent all the penguins
turn ur percent to a decimal
0.30x = 15
x = 15 / 0.30
x = 50 <===== 50 total penguins
1. a) equation of the line :
y - intercept = -7
so, it will pass through point (0, -7)
and if we plug the value of x as 5, we get
so, it will pass through point (5, -5) too
now, just plot the points (0 , -7) and (5 , -5) and join them.
2. b) equation of line is :
here, y - intercept = 5
so the line passes through point (0 , 5)
now, Plugging the value of x = 1 we get :
so, the given line passes through point (1 , 2)
plotting the points, we can get our required line.
Answer:
The roots of the equation is real and repeated
Step-by-step explanation:
Here, we want to describe the nature of the roots of the given quadratic equation
To get the nature of the roots, we find the discriminant of the equation
The discriminant is;
b^2 - 4ac
In this case, b = -28 , a = 49 and c = 4
The discriminant is thus;
-28^2 - 4(49)(4)
= 784 - 784 = 0
Since the discriminant is zero, this means that the quadratic equation has real roots which are the same
1. The table has a constant of proportionality of 4, therefore, the perimeter and side length of squares are proportional.
2. Equation for the proportion is, y = 4x.
Perimeter = 48 cm.
<h3>What is the Equation of a Proportional Relationship?</h3>
The equation that defines a proportional relationship is, y = kx, where k is the constant of proportionality between variables x and y.
1. For the table given:
y = perimeter
x = side length
k = constant of proportionality = 8/2 = 16/4 = 24/6 = 4.
Since k is the same all through, the equation can be modelled as y = 4x, which means the perimeter and side length of squares are proportional.
2. Using the equation, y = 4x,the perimeter (y) of a square when its side length is 12 (x) is:
y = 4(12)
y = 48 cm.
The perimeter (y) of the square is: 48 cm.
Learn more about proportional relationship on:
brainly.com/question/15618632
#SPJ1