Answer- A,D,E
Step-by-step explanation:
A table featuring two columns with 5 rows. The first column, labeled x, contains the values: -2, 0, 2, 4. The second column, labeled y, includes the values: 6, 3.5, 1, -1.5.
Which equations correspond to the data shown in the table? Select all that apply.
y – 6 = -5/4(x + 2)
y – 2 = -5/4(x - 1)
y + 2 = -5/4(x - 6)
y – 1 = -5/4(x - 2)
y – 3.5 = -1.25x
This is just rewording the question
From AA3+2=AAA, it follows that 3+2 equals A, so A must be 5.
Given CC6+6=CBB, since 6+6 equals 12, the final digit has to be 2, making B=2. Additionally, adding 6 to 6 increases the tens digit by one, meaning B is one more than C, so C=1 (since 2-1=1). Therefore, ABC equals 521.
Begin by disregarding the inequality symbol and substituting it with an '=' sign. After that, determine the x- and y-intercepts.
15x + 10y = 1,100
x-intercept:
15x + 0 = 1,100
x = 1,100/15 = 73.33
y-intercept:
0 + 10y = 1,100
y = 1,100/10 = 110
Now, plot the points (73.33,0) and (0,110). Given that the inequality symbol is ≥, representing equality, connect these points using a solid line.
Next, let's identify a point on the graph, for instance, the origin (0,0). Use this point in the equation.
15x + 10y ≥ 1,100
15(0) + 10(0)? 1,100
0? 1,100
0 < 1,100
This makes the ≥ statement false. As a result, the alternate area defined by the line is the solution. Consequently, shade that region. The resulting graph is displayed in the attached image.
Let's apply the Pythagorean theorem to determine whether a triangle could be formed.
Assuming we have two wooden dowels each measuring 8 inches, we can break one dowel in half, resulting in two pieces of 4 inches each.
Now we have three wooden dowels with lengths of 4 inches, 4 inches, and 8 inches.
According to the Pythagorean theorem:
a² + b² = c²
4² + 4² = 8²
16 + 16 = 64
34 ≠ 64
To form a triangle, the length of the cut wooden dowel needs to exceed that of the uncut dowel.
I also visually attempted this exercise on paper, cutting according to the assumed dimensions. No triangle can be constructed with these pieces.
Answer: 7.50x should be greater than or equal to 200
Step-by-step explanation:
She aims to earn a minimum of $200.