<span>x-intercept is when y = 0
0 = -1/2x - 2
1/2x = -2
x = -4
x-intercept = (-4,0)
y-intercept is when x = 0
y = -1/2(0) - 2
y = -2
y-intercept = (0, -2)
(note that in the form y = mx+b, b is the y-intercept, so in y = -1/2x - 2, -2 is the y-intercept)
Now to graph, simply plot these two points (-4, 0) and (0, -2) and draw a line between them.
Best of luck!</span>
Answer:
32.4kg
Step-by-step explanation:
if it loses one tenth of cement;
36kg×1/10
36kg/10
3.6kg was lost
to find the remaining ; 36kg - 3.6kg = 32.4kg is left in the bag
The measure of angle (m ∠A) is 136°
<h3>Vertical angles theorem</h3>
From the question, we are to find the measure of angle A
From the given information, we have that
∠A and ∠B are vertical angles
Thus
∠A = ∠B
and
Also, from the given information,
m ∠A=(2x+26)°
and
m ∠B= (3x−29)°
∴ (2x+26)° = (3x−29)°
Now, solve for x
2x + 26 = 3x - 29
26 + 29 = 3x - 2x
55 = x
∴ x = 55
But measure of angle A is given by
m ∠A=(2x+26)°
Put the value of x into the equation,
m ∠A=(2(55)+26)°
m ∠A=(110+26)°
m ∠A = 136°
Hence, the measure of angle (m ∠A) is 136°
Learn more on Vertical angle theorem here: brainly.com/question/24839702
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The flat fee that the store charges is $14 and the cost for 7 hours is $56
A linear equation is on the form:
y = mx + b
where y, x are variables, m is the rate of change and b is the initial value of y.
let f for the total rental cost of a vacuum cleaner for x hours
Using the points (1, 20) and (3, 32) from the table:
The flat fee that the store charges is $14
The reasonable domain is 1 ≤ x ≤ 12
The cost for 7 hours is:
f(7) = 6(7) + 14 = 46
Find out more on linear equation at: brainly.com/question/14323743
