Answer:To solve the system of equations using substitution, we'll start by solving one equation for one variable, and then substitute that expression into the other equation.
Let's solve the second equation, y = 3x - 7, for y:
y = 3x - 7 (Equation 2)
Now, we can substitute this expression for y in the first equation, 2x + y = 3:
2x + (3x - 7) = 3
Combining like terms, we have:
5x - 7 = 3
Adding 7 to both sides of the equation, we get:
5x = 10
Dividing both sides of the equation by 5, we have:
x = 2
Now that we have the value of x, we can substitute it back into one of the original equations to find the value of y. Let's use Equation 2:
y = 3x - 7
Substituting x = 2, we have:
y = 3(2) - 7
Simplifying the expression, we get:
y = 6 - 7
y = -1
Therefore, the solution to the system of equations is x = 2 and y = -1.
We can also check this solution by substituting the values of x and y back into both original equations to make sure they satisfy both equations.
A pooling equilibrium exists as long as the number of Type H customers in the market is relatively low.
True or False
A pooling equilibrium exists as long as the number of Type H customers in the market is relatively high.
True or False
Brainly Ginny character avatar
AI-generated answer
A pooling equilibrium exists when all customers, regardless of their type, are offered the same product or service. In a pooling equilibrium, the market does not differentiate between different customer types.
Given the statement "A pooling equilibrium exists as long as the number of Type H customers in the market is relatively low," we can analyze its truthfulness:
If the number of Type H customers in the market is relatively low, it means that there are fewer customers of Type H compared to other types. In this scenario, it is more likely that the market will offer a single product or service that caters to the majority of customers, including non-Type H customers. Therefore, it is true that a pooling equilibrium is more likely to exist when the number of Type H customers is relatively low.
On the other hand, if the number of Type H customers in the market is relatively high, it means that there is a significant presence of Type H customers. In this case, the market might be inclined to offer specialized products or services that specifically cater to the needs and preferences of Type H customers. This would result in a segmentation or differentiation of the market, which contradicts the concept of a pooling equilibrium. Therefore, it is false to say that a pooling equilibrium exists when the number of Type H customers is relatively high.
To summarize:
- A pooling equilibrium is more likely to exist when the number of Type H customers in the market is relatively low. (True)
- A pooling equilibrium is less likely to exist when the number of Type H customers in the market is relatively high. (False)
what is the combined version of the equations 5.2*10^6 and 2.47*10^8
Brainly Ginny character avatar
AI-generated answer
To find the combined version of the given equations 5.2*10^6 and 2.47*10^8, we need to add or subtract the numbers and keep the same power of 10.
The numbers in scientific notation have two parts: the coefficient and the power of 10. In this case, we have:
5.2 * 10^6 and 2.47 * 10^8
To combine them, we need to make sure that the powers of 10 are the same. We can do this by adjusting the coefficients.
First, let's adjust the coefficient of 5.2*10^6. We can do this by multiplying it by 10^2:
5.2 * 10^6 * 10^2 = 5.2 * 10^(6+2) = 5.2 * 10^8
Now that we have adjusted the coefficient of 5.2*10^6, we can combine it with 2.47*10^8:
5.2 * 10^8 + 2.47 * 10^8 = (5.2 + 2.47) * 10^8 = 7.67 * 10^8
Therefore, the combined version of the equations 5.2*10^6 and 2.47*10^8 is 7.67*10^8.
Rate of gaining altitude is ratio of height gained to time spent. The rate at which the plane is gaining altitude is 130.9 miles per hour.
Suppose that we have to measure the rate of change of y as x changes, then we have:
where we have
Remember that, we divide by the change in independent variable so that we get some idea of how much the dependent quantity changes as we change the independent quantity by 1 unit.
(5 change per 3 unit can be rewritten as 5/3 change per 1 unit)
For the given case, the rate at which the plane is gaining altitude is the ratio of the height it gains per unit time(here per hour).
Referring to the diagram attached below, as he will walk 475 miles per hour(which is constant, this can be taken as hypotenuse's length.
The length BC is the height the plane gain each hour as he covers 475 miles in slantdirection.
Using the sin ratio, and measuring from the angle A, we get:
Thus, the height gained by plane per hour is 130.9 miles.
Rate of height gaining = (new height - old height)/(1 hour)
Rate of height gaining = (old height + 130.9 miles - old height)/1 hour
Rate of height gaining = 130.9 miles per hour.
This is the rate at which the plane is gaining altitude(since it is ratio of how much height it gains to how much time is spent gaining that height)
Hence, The rate at which the plane is gaining altitude is 131.1 miles per hour.
Learn more about trigonometric ratios here:
Answer:
130.9 miles per hour.
Step-by-step explanation:
sine 16 = x / 475 where x = rate of gaining altitude.
x = 475 sin 16
= 130.9 miles per hour.
a. Angles G and L are congruent.
b. Angles H and K are proportional.
c. Angles I and L are congruent.
d. Angles K and J are proportional.
Answer:
C. Angles I and L are congruent
Explanation:
When writing similar statements, the order of the letters is extremely important, this is because, in similar triangles:
1- corresponding angles are congruent (equal)
2- corresponding sides are proportional
Now, we are given that:
ΔGHI is similar to ΔJKL
This means that:
∠G is congruent to ∠J
∠H is congruent to ∠K
∠I is congruent to ∠L
Comparing the above congruent angles with the choices, we can conclude that the correct choice is option C
Hope this helps :)