Answer:
1st picture: (0,4)
The lines intersect at point (0,4).
2nd picture: Graph D
2x ≥ y - 1
2x - 5y ≤ 10
Set these inequalities up in standard form.
y ≤ 2x + 1
-5y ≤ 10 - 2x → y ≥ -2 + 2/5x → y ≥ 2/5x - 2
When you divide by a negative number, you switch the inequality sign.
Now you have:
y ≤ 2x + 1
y ≥ 2/5x - 2
Looking at the graphs, you first want to find the lines that intersect the y-axis at (0, 1) and (0, -2).
In this case, it is all of them.
Next, you would look at the shaded regions.
The first inequality says the values are less than or equal to. So you look for a shaded region below a line. The second inequality says the values are greater than or equal to. So you look for a shaded region above a line.
That would mean Graph B or D.
Then you look at the specific lines. You can see that the lower line is y ≥ 2/5x - 2. You need a shaded region above this line. You can see the above line is y ≤ 2x + 1. You need a shaded region below this line. That is Graph D.
The slope-intercept form:

m - slope
b - y-intercept
We have the slope m = 4 → 
and point (1, 6). Substitute:

<em>subtract 4 from both sides</em>

<h3>Answer: y = 4x + 2</h3>
Answer:
"Real World" Math Drama. ...
Step #1: Stop and Think Before Doing Anything. ...
Step #2: English-to-Equation Translation. ...
Step #3: Solve for Whatever You're Interested In. ...
Step #4: Make Sure You Understand the Result. ...
Step #5: Use Your Result to Solve Other Problems. ...
Wrap Up.
Step-by-step explanation:
Answer:
The radius of the circle is 
Step-by-step explanation:
we know that
In a circle, a 90-degree sector represents a quarter of the circle area.
The area of a quarter circle is equal to

we have
----> area of a quarter circle
so

Simplify


Juanita and Keenan ordered 85 flashlights and 17 sleeping bags.
Step-by-step explanation:
Given,
Cost of each flashlight = $12
Cost of each sleeping bag = $45
Total cost = $1785
Let,
x represent the number of flashlights ordered
y represent the number of sleeping bags ordered
According to given statement;
12x+45y=1785 Eqn 1
x = 5y Eqn 2
Putting value of x from Eqn 2 in Eqn 1

Dividing both sides by 105

Putting y=17 in Eqn 1

Juanita and Keenan ordered 85 flashlights and 17 sleeping bags.
Keywords: linear equation, substitution method
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