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Inga [223]
2 years ago
12

G(t) = (t – 10)(t + 1)

Mathematics
1 answer:
IceJOKER [234]2 years ago
8 0

Write properties of function:

x intercept/zero: t₁ = -1, multiplicity 1; t₂ = 10 , multiplicity 1

vertex form: g (t) = (t - 9/2)² - 121/4

vertex: (9/2, -121/4)

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given the points a (-1,2) and (7,14), find the coordinates of the point p on directed line segment ab that partitions ab in the
Vinvika [58]
Check the picture below.

\bf \left. \qquad  \right.\textit{internal division of a line segment}
\\\\\\
a(-1,2)\qquad b(7,14)\qquad
\qquad 1:3
\\\\\\
\cfrac{aP}{Pb} = \cfrac{1}{3}\implies \cfrac{a}{b} = \cfrac{1}{3}\implies 3a=1b\implies 3(-1,2)=1(7,14)
\\\\
-------------------------------\\\\
{ P=\left(\cfrac{\textit{sum of "x" values}}{r1+r2}\quad ,\quad \cfrac{\textit{sum of "y" values}}{r1+r2}\right)}

\bf -------------------------------\\\\
P=\left(\cfrac{(3\cdot -1)+(1\cdot 7)}{1+3}\quad ,\quad \cfrac{(3\cdot 2)+(1\cdot 14)}{1+3}\right)
\\\\\\
P=\left( \cfrac{-3+7}{4}~,~\cfrac{6+14}{4} \right)

3 0
3 years ago
Solve: 7x-12< 7( x-1)
Serggg [28]

Answer:

no solution

Step-by-step explanation:

7x-12<7x-7

-13<-7

no solution

6 0
2 years ago
Find the unit rate ( miles per gallon ): 50 miles on 2 1/2 gallons.
postnew [5]
Hello! To find the unit rate in miles per gallon, all you have to do is divide the amount of miles by the amount of gallons. 2½ is 2.5 in decimal form. 50/2.5 is 20. There. The unit rate is 20 miles per gallon.
7 0
3 years ago
Read 2 more answers
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Citrus2011 [14]

Answer:

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Step-by-step explanation:

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5 0
2 years ago
A water tank is 1/8 full the tank is 3/4 full when 42 gallons are added to the tank how much water was originally in the tank
masha68 [24]
<span>A water tank is 1/8 full. The tank is 3/4 full when 42 gallons are added to the tank. How much water was originally in the tank? (I rewrote it, your wording was messed up)

3/4 = 6/8 
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So, the answer is 5 1/4. The tank originally 5.25 gallons of water.</span>
8 0
2 years ago
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