Considering that the points are part of the same linear function, the missing x-value is given by:
a. 1.1.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
Given two points, the slope is given by <u>change in y divided by change in x</u>. In this problem, we are given points (6, 10.2) and (1.5, 3.45), hence the slope is:
m = (10.2 - 3.45)/(6 - 1.5) = 1.5.
Hence:
y = 1.5x + b.
When x = 6, y = 10.2, hence we use it to find b as follows:
10.2 = 1.5(6) + b
9 + b = 10.2
b = 1.2.
Hence the function is:
y = 1.5x + 1.2.
The value of x when y = 2.85 is given by:
y = 1.5x + 1.2.
2.85 = 1.5x + 1.2.
1.5x = 1.65.
x = 1.65/1.5
x = 1.1.
Hence option A is correct.
More can be learned about linear functions at brainly.com/question/24808124
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Rational numbers can be negatives and positives. When negative, they are called integers. If you add one negative number that is higher than the positive number, it can be negative. For instance: -63+3= -60
Answer:
There were 72 kids there.
Step-by-step explanation:
This question can be solved using proportions, by a rule of three.
The number of kids and time are inversely proportional, that is, if we increase the number of kids to build the castle, the time it takes will decrease. This means that to solve the rule of three, instead of applying cross multiplication, we apply line multiplication.
We have that:
30 kids - 6 hours
x kids - 2.5 hours.
Applying line multiplication
There were 72 kids there.
Com. add up to equal 90
Sup. add up to equal 180
Answer: Complementary---anlge<AEB <BEC
Supplementary---angle<AEC <CED
-6(-6) = 36 and
-6 (-6) also is 36.
36 * 36 = 1,296
