The two possible answers are w = 3 and w = -1/5
These answers can be obtained through solving to the absolute value symbols.
<span>−2∣5w−7∣+9=−7 ---> subtract 9 from both sides
</span><span>−2∣5w−7∣= -16 ---> divide both sides by -2
</span>∣5w−7∣= 8
Now, because of the absolute value symbols, set the inside equal to 8 and -8 for the two answers.
5w - 7 = 8
5w = 15
w = 3
AND
5w - 7 = -8
5w = -1
w = -1/5
<h3>
Answer: b = 4 and c = 7.</h3>
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Explanation:
Comparing y = x^2+bx+c to y = ax^2+bx+c, we see that a = 1.
The vertex given is (-2,3). In general, the vertex is (h,k). So h = -2 and k = 3.
Plug those three values into the vertex form below
y = a(x-h)^2 + k
y = 1(x-(-2))^2 + 3
y = (x+2)^2 + 3
Then expand everything out and simplify
y = x^2+4x+4 + 3
y = x^2+4x+7
We see that b = 4 and c = 7.
Answer:
The slope of a line is 2/6 because slope also means rise over run (y/x). So the line's slope is 2/6 because it goes up (rises) in the y-direction 2 units and moves to the right (runs) 6 units, from one point to another.
Step-by-step explanation:
Answer:d=0.8x+1
Step-by-step explanation:
To solve 0.5(2d-6)=0.2(4x-10)
Open the brackets
We get
d-3=0.8x-2
To make d the subject of formular
d=0.8x-2+3
d=0.8x+1
