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Bogdan [553]
3 years ago
9

Solve for c, 3ab-2bc=12

Mathematics
1 answer:
Troyanec [42]3 years ago
6 0
-2bc=12-3ab

c=(3ab-12)/(2b)
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The sum of three consecutive odd integers is -381
AVprozaik [17]
Given that the numbers are consecutive:
let the first number be x, the second number will be x+1, the third number be x+2
thus the sum of the numbers will be:
x+(x+1)+(x+2)=-381
3x+3=-381
3x=-381-3
3x=-384
x=-128
thus the first number is -128, the second number is -127 and the third number is -126
4 0
3 years ago
The graphs below have the same shape.What is the equation of the red graph?
Alika [10]

\bf ~\hspace{10em}\textit{function transformations} \\\\\\ \begin{array}{llll} f(x)= A( Bx+ C)^2+ D \\\\ f(x)= A\sqrt{ Bx+ C}+ D \\\\ f(x)= A(\mathbb{R})^{ Bx+ C}+ D \end{array}\qquad \qquad \begin{array}{llll} f(x)=\cfrac{1}{A(Bx+C)}+D \\\\\\ f(x)= A sin\left( B x+ C \right)+ D \end{array} \\\\---------------------------------

\bf \bullet \textit{ stretches or shrinks horizontally by } A\cdot B\\\\ \bullet \textit{ flips it upside-down if } A\textit{ is negative}\\ ~~~~~~\textit{reflection over the x-axis} \\\\ \bullet \textit{ flips it sideways if } B\textit{ is negative}\\ ~~~~~~\textit{reflection over the y-axis} \\\\ \bullet \textit{ horizontal shift by }\frac{ C}{ B}\\ ~~~~~~if\ \frac{ C}{ B}\textit{ is negative, to the right}

\bf ~~~~~~if\ \frac{ C}{ B}\textit{ is positive, to the left}\\\\ \bullet \textit{ vertical shift by } D\\ ~~~~~~if\ D\textit{ is negative, downwards}\\\\ ~~~~~~if\ D\textit{ is positive, upwards}\\\\ \bullet \textit{ period of }\frac{2\pi }{ B}


keeping that template in mind, the g(x) function is just a translated version of f(x), it is translated upwards by 2 units, namely D = 2.

\bf f(x)=3-x^4\implies f(x)=\stackrel{A}{-1}(\stackrel{B}{1}x+\stackrel{C}{0})^4+\stackrel{D}{3}\implies \stackrel{\textit{shifted upwards by 2 units}}{f(x)=\stackrel{A}{-1}(\stackrel{B}{1}x+\stackrel{C}{0})^4+\stackrel{D}{3+2}} \\\\\\ f(x)=-1(1x+0)^4+5\implies f(x)=-x^4+5\implies f(x)=5-x^4=g(x)

3 0
3 years ago
Read 2 more answers
Toby and three of his friends ate lunch together at a deli.Each person ordered a sandwich and a drink
Gnom [1K]

what's your question?

5 0
4 years ago
PLS HELP I WILL GIVE BRAINLY
SashulF [63]

Answer:

k is the constant of proportionality

2 1/4 gallons

Step-by-step explanation:

y = kx, k is the constant of proportionality

y = how much of the tank is filled

x = how many gallons used

1/3 = k (3/4)

Multiply each side by 4/3 to isolate k

4/3*1/3 = k (3/4)*4/3

4/9 = k

y = 4/9x

We want y to be 1 for a full tank

1 = 4/9 x

Multiply each side by 9/4 to isolate x

9/4 = 4/9 x * 9/4

9/4 =x

We need 9/4 gallons or simplifying

2 1/4 gallons

8 0
4 years ago
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Pleaseeeee help meeeee !!!!!!!!!!!!!!!!!!! Answer correctly please !!!!!!!!!!!!!!!!!!!!
sdas [7]

Step-by-step explanation:

8^2+√34^2

64+1156

1227

√1227

35.02

4 0
3 years ago
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