The given equations are y= 6x^2+1 and y=x^2+4
Both the equations equal y so we can make them equal
6x^2+1=x^2+4
To bring x term on one side we subtract x^2 both sides
6x^2-x^2+1=4
5x^2+1=4
To isolate x term we subtract 1 both sides
5x^2=4-1
5x^2=3
Dividing by 5 both sides
X^2=3/5
Taking root of both sides we have:
X=±√⅗
Substituting x value to find y
When x=+√⅗=0.7745
Y= 6x^2+1
Y=6(3/5)+1
Y= 18/5+1
Y=23/5 =4.6
When x= -√⅗=-0.7745
Y= 6(3/5)+1
Y=23/5=4.6
Point of intersections are ( 0.7745,4.6) and (-0.7745,4.6)
Answer: $10272.17
Step-by-step explanation: Please see attachment for explanation
Answer:
slope = 1/4
Step-by-step explanation:
If a equation is in form of y = mx + c
them m is the slope of line.
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Let Y(d) be the distance ran by Alexandria on dth day
Y(0) = 2
she adds 1/4 miles each day then
Y(1) = 2 + 1/4
Y(2) = 2 + 1/4 +1/4 = 2 +1/4(2)
Y(3) = 2 + 1/4 +1/4 +1/4= 2 +1/4(3)
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similarly
in d days she can run 2 miles + 1/4*d miles
thus, we have
Y(d) = 2 + 1/4(d)
it can be also solved
Thus we see that it is a linear relationship y = 2 + 1/4(d)
which is in the form of y = mx + c
comparing mx to 1/4 d
we have m = 1/4
thus,
slope of this linear relationship is 1/4
Answer:
1/9 para un bocadillo y 1/13 para un montadito.
Step-by-step explanation:
Bocadillo:
9/9 es el pan entero (porque dividiendo 9 entre 9, te da 1, es decir, la unidad). Para hacer un bocadillo tienes que sacar uno de los trozos, que sería 1/9.
Con los montaditos es igual solo que en vez de dividir el pan en 9 trozos, lo divides en 13.
Answer:
<h2>1.326 ......</h2>
Step-by-step explanation:
³√81 = 4.326
³√216 = 6
⁴√16 = 2
√225 = 15
<h3> X = ³√81 - 8 ³√216 + 15 ⁴√16 + √225 </h3>
X = 4.326 - (8×6) + (15×2) + 15
X = 4.326 - 48 + 30 + 15
X = 49.326 - 48
X = 1.326 ............