Let's solve your equation step-by-step.<span><span>−<span>5<span>(<span>x−4</span>)</span></span></span>=<span>−<span>30
</span></span></span>Step 1: Simplify both sides of the equation.<span><span>−<span>5<span>(<span>x−4</span>)</span></span></span>=<span>−30</span></span>
<span>Simplify: (Show steps)</span><span><span><span>−<span>5x</span></span>+20</span>=<span>−<span>30
</span></span></span>Step 2: Subtract 20 from both sides.<span><span><span><span>−<span>5x</span></span>+20</span>−20</span>=<span><span>−30</span>−20</span></span><span><span>−<span>5x</span></span>=<span>−<span>50
</span></span></span>Step 3: Divide both sides by -5.<span><span><span>−<span>5x</span></span><span>−5</span></span>=<span><span>−50</span><span>−5</span></span></span><span>x=<span>10
</span></span>Answer:<span>x=<span>10</span></span>
Mass = volume × density;
mass = 2.5g/mL x 15mL;
mass = 37.5g;
The equation that models the balance y after x is y = -145x + 1400
<h3>How to find the equation?</h3>
given that
Zachary uses a payment plan to buy a PC for $1,400. His balance was $820 four months after he made the computer purchase. His amount was $240 eight months after he made the computer purchase.
Assume it has to do with developing an equation that represents this loan as a function of time. Use the loan amount as Y and the time as X.
Now Put that in the standard format:
Y = mX + b
according to the question
at x = 0 then y = 1400
at x = 4 then y = 820
at x = 8 then y = 240
now find the slope
points are (4,820) & (8,240)
slope = -145
now the equation is y = -145x + b
Let x = 4 & y = 820
then
820 = -145(4) + b
820 = 580 + b
b = 820 + 580
b = 1400
finally the equation is
y = -145x + 1400
Learn more about algebraic equations from here::
brainly.com/question/4344214
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L = 3 + 2w
Find the width
Area = 54
l × w = 54
(3 + 2w) × w = 54
3w + 2w^2 = 54
2w^2 + 3w - 54 = 0
(2w - 9)(w + 6) = 0
w = 9/2 or w = -6 (width shouldn't be negative)
w = 9/2
w = 4.5 m
Find the length
l = 3 + 2w
l = 3 + 2(4.5)
l = 3 + 9
l = 12 m
The width is 4.5 m, the length is 12 m
Answer:
Negative skew; skewed right.
Step-by-step explanation:
It is a negative skew, because the peak of the graph is located towards the left (5- 9, respectively). The skewed is on the right, for the tail stretches out to the right of the graph (10-14 all the way to 25 - 29, respectively).
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