Answer:
y=-3/4x-9
Step-by-step explanation:
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Answer:
C. Black grapes cost more per pound than green grapes.
Step-by-step explanation:
<em>Verify each statement</em>
A. Three pounds of green grapes cost $6.00
The statement is False
Because
For x=3 pounds
y=1.5x
y=1.5(3)=$4.5
B. Black grapes cost less per pound than green grapes
The statement is False
Because
For x=1 pound
The green grapes cost ----> y=1.5(1)=$1.5
Observing the graph
For x=1 pound
The black grapes cost $2
C. Black grapes cost more per pound than green grapes.
The statement is True
D. Two pounds of black grapes cost $3.00.
The statement is False
Because
Observing the graph
Two pounds of black grapes cost $4
Answer:
Length of each leg = 130 cm.
Step-by-step explanation:
Given that there is an isosceles triangle which has perimeter 345 cm.
Base length =85 cm.
Since other two sides are equal, let the equal size = x
Perimeter = sum of all 3 sides of a triangle
= 85+x+x = 85+2x
But perimeter = 345 (given)
So equate x term perimeter with actual
85+2x = 345
Subtract 85
2x = 260
Divide by 2
x =130 cm.
Hence answer is 130 cm.
Option B is correct.
Step-by-step explanation:
We need to solve: ![\sqrt[3]{x^2}\sqrt[4]{x^3}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%5E2%7D%5Csqrt%5B4%5D%7Bx%5E3%7D)
We know that: ![\sqrt[n]{x}\sqrt[b]{x} =\sqrt[n*b]{x.x}= \sqrt[n*b]{x^2}](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Bx%7D%5Csqrt%5Bb%5D%7Bx%7D%20%3D%5Csqrt%5Bn%2Ab%5D%7Bx.x%7D%3D%20%5Csqrt%5Bn%2Ab%5D%7Bx%5E2%7D)
Applying the above rule:
![\sqrt[3]{x^2}\sqrt[4]{x^3}\\=\sqrt[3*4]{x^2.x^3}\\=\sqrt[12]{x^5}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%5E2%7D%5Csqrt%5B4%5D%7Bx%5E3%7D%5C%5C%3D%5Csqrt%5B3%2A4%5D%7Bx%5E2.x%5E3%7D%5C%5C%3D%5Csqrt%5B12%5D%7Bx%5E5%7D)
So, Option B is correct.
Keywords: Solving with Exponents
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