In the table states the frequency of the marbles. It says in the 40 tries she had a frequency of 24 marbles that are yellow and for green it states the frequency is 16 marbles for green.
The equation in slope intercept form is y = -4x/3 + 10
<h3>How to determine the equation?</h3>
The representations are given as:
- x represents peaches
- y represents apples
So, we have:
2 * x + 1.5 * y = 15
Evaluate the product
2x + 1.5y = 15
Subtract 2x from both sides
1.5y = -2x + 15
Divide through by 1.5
y = -4x/3 + 10
Hence, the equation in slope intercept form is y = -4x/3 + 10
Read more about linear equations at:
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Answer: (c) 31 (d) 30 (e) 41 (f) 10
<u>Step-by-step explanation:</u>
NOTES about angles of a rhombus:
- diagonals are angle bisectors (cut the angle into 2 equal parts)
- diagonals are perpendicular to each other (90°)
- two adjacent triangles of a rhombus form an isosceles triangle
(c) Given: ∠CBD = 59°
Per rule 2 → ∠BEC = 90°
Triangle Sum Theorem: sum of the angles of a triangle = 180°
∠CBD + ∠BEC + ∠BCE = 180°
59° + 90° + ∠BCE = 180°
149° + ∠BCE = 180°
∠BCE = 31°
(d) Given: ∠BCD = 120°
Per rule 3 → ∠CBD = ∠CDB
Triangle Sum Theorem: sum of the angles of a triangle = 180°
∠CBD + ∠CDB + ∠BCD = 180°
2∠CBD + 120° = 180°
2∠CBD = 60°
∠CBD = 30°
(e) Given: ∠AED = 2x+8
Per rule 2 → ∠AED = 90°
2x+8 = 90
2x = 82
x = 41
(f) Given: ∠BCE = 3x + 3 and ∠ECD = 5x - 17
Per rule 1 → ∠BCE = ∠ECD
3x + 3 = 5x- 17
3 = 2x - 17
20 = 2x
10 = x
Answer:
Step-by-step explanation:
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Answer:
B. −x^2+2x+4
Step-by-step explanation:
(f-g)(x)
fx - g=
6x^2+4x−7−2x−7x^2+11
=6x^2+4x+−7+−2x+−7x^2+11
Combine Like Terms:
=6x^2+4x+−7+−2x+−7x^2+11
=(6x^2+−7x^2)+(4x+−2x)+(−7+11)
=−x^2+2x+4
