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Angelina_Jolie [31]
3 years ago
12

First try to solve the equation by factoring. If you are unable to solve the equation by factoring, solve the equation by using

the quadratic formula. For equations with solutions that are irrational numbers, give exact solutions and approximate solutions to the nearest thousandth. (Enter your answers as a comma-separated list. If the solution is not a real number, enter NOT REAL.) 4t2 = t + 6
Mathematics
1 answer:
tatuchka [14]3 years ago
3 0

Answer:

-0.5 ,0.75

Step-by-step explanation:

4 \times t^{2}=t+6


\therefore 4 \times t^{2}-t-6 = 0

therefore t=\frac{1\mp\sqrt{1+24}}{8}

[                 =\frac{1\mp\sqrt{25}}{8}

                         = -0.5,0.75

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lord [1]

Answer:

<h2>x = -8 and y= 0 → (-8, 0)</h2>

Step-by-step explanation:

\left\{\begin{array}{ccc}y=\dfrac{1}{4}x+2&(1)\\3y=-\dfrac{3}{4}x-6&(2)\end{array}\right\\\\\text{Substitute (1) to (2):}\\\\3\left(\dfrac{1}{4}x+2\right)=-\dfrac{3}{4}x-6\qquad\text{use the distributive property}\\\\(3)\left(\dfrac{1}{4}x\right)+(3)(2)=-\dfrac{3}{4}x-6\\\\\dfrac{3}{4}x+6=-\dfrac{3}{4}x-6\qquad\text{subtract 6 from both sides}\\\\\dfrac{3}{4}x=-\dfrac{3}{4}x-12\qquad\text{add}\ \dfrac{3}{4}x\ \text{to both sides}\\\\\dfrac{6}{4}x=-12\qquad\text{multiply both sides by 4}\\\\6x=-48\qquad\text{divide both sides by 6}\\\\x=-8

\text{Put the value of x to (1):}\\\\y=\dfrac{1}{4}(-8)+2\\\\y=-2+2\\\\y=0

7 0
3 years ago
Polygon ABCD goes through a sequence of rigid transformations to form polygon A′B′C′D′. The sequence of transformations involved
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4 years ago
write an equation in slope intercept form for the line that has a slope of 4 and passes through the point (3,24)​
Paladinen [302]

Answer:

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Step-by-step explanation:

7 0
3 years ago
Write a linear function f with the values f(10)=5 and f(2)=-3
Nutka1998 [239]

Answer:

f(x)=x-5

Step-by-step explanation:

step 1

Find the slope m

The formula to calculate the slope between two points is equal to

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we have the ordered pairs

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substitute the values

m=\frac{-3-5}{2-10}

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step 2

Find the equation of the line in slope intercept form

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b=-5

The linear function is equal to

f(x)=x-5

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Step-by-step explanation:

7 0
3 years ago
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