The value of the expression using distributive property is -3/7 .
According to the distributive property, an expression of the form A (B + C) can be resolved as A (B + C) = AB + AC. This distributive law, which is represented as A (B - C) = AB - AC, also applies to subtraction. This indicates that the distribution of operand A among the other two operands.
We learn how to solve expressions in the form of a(b + c) from the distributive property. The distributive law of multiplication and division is another name for the distribution property.
The given expression is 4/5 x -3/7 + 1/5 x -3/7
Here we take the reverse of the distributive property to solve the expression. We take the term of 3/7 common from both the separate expressions
4/5 x -3/7 + 1/5 x -3/7
= -3/7 x (4/5 +1/5)
= -3/7 x 5/5
= -3/7 x 1
= -3/7
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Answer: | x -24 |=2
Step-by-step explanation:
Given: Mary's car can go 24 miles on one gallon of gasoline.
her gas mileage can vary by 2 miles per gallon depending on where she drives .
i.e. either 2 miles added or subtracted in the gas mileage.
i.e. -2< Gas milegae -24 <2
⇒ | Gas milegae -24 |=2
Let x represents the gas mileage.
Then, | x -24 |=2 is the required absolute value equation that you can use to find the minimum and maximum gas mileage.
Answer:
x<5
Step-by-step explanation:
-35 < -4x - 15
-20 <-4x
4x < 20
x< 20/4
x<5
Answer:
see explanation
Step-by-step explanation:
The vertex of f(x) = x² is at (0, 0)
To find the vertex of g(x) = x² - 8x + 7 ← in standard form
The x- coordinate of the vertex is
= -
where a = 1 and b = - 8
= - = 4
substitute x = 4 into the equation for corresponding y- coordinate
y = 4² - 8(4) + 7 = 16 - 32 + 7 = - 9
The vertex of g(x) is at (4, - 9)
thus (0, 0) → (4, - 9) is 4 units right and 9 units down → option C