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Phantasy [73]
3 years ago
7

What is the solution of the equation (x – 5)2 + 3(x – 5) + 9 = 0? Use u substitution and the quadratic formula to solve.

Mathematics
1 answer:
Vitek1552 [10]3 years ago
4 0
(X-5)2+3(X-5)+9 = 0
let expand the equation
(x)x2-(5)x2 + 3(x)-3(5) + 9 = 0
2x-10+3x-15+9=0
collect like terms
2x+3x-10-15+9 =0
5x-10-6 =0
5x-16=0
5x=0+16
5x=16
divide both side by 5 we have
x=16/5
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FIRST PERSON TO ANSWER GETS BRANILYEST
Veseljchak [2.6K]

Car A                               Car B

d=rt                                  d = rt

d = ra * 2.4                        d = rb 4

ra = rb+22

distances are the same so set the equations equal

ra * 2.4 =rb *4

substitue in  for ra

(rb+22) 2.4 =rb *4

distribute

2.4 rb +52.8 = 4 rb

subtract 2.4 rb from each side

52.8 = 1.6 rb

33 = rb

Car b travels at 33 miles per hour

Car a = 33+22

Car a = 55 miles per hour

3 0
3 years ago
Please actually show ur work on how u got the answer thank u
serg [7]

Answer:

C

Step-by-step explanation:

I substituted the x value with the different options. I kept doing that until the equation made sense.

4 0
2 years ago
Read 2 more answers
What is (f ° g)(2) and (g ° f)(2) with the set of points f: {(0,4), (1,2), (2,0), (3,2), (4,4)} and g: {(0,4), (1,3), (2,2), (3,
kumpel [21]

Answer:

\large\boxed{(f\circ g)(2)=0}\\\boxed{(g\circ f)(2)=4}

Step-by-step explanation:

f:\{(0,4), (1,2), \underline{(2,0)}, (3,2), (4,4)\}\\\\g:\{\underline{(0,4)}, (1,3), \underline{(2,2)}, (3,1), (4,0)\}\\\\(f\circ g)(x)=f\bigg(g(x)\bigg)\\\\g(2)=2\qquad/from\ (2,2)/\\f\bigg(g(2)\bigg)=f(2)=0\qquad/from\ (2,0)/\\\\(g\circ f)(x)=g\bigg(f(x)\bigg)\\\\f(2)=0\qquad/from\ (2,0)/\\g\bigg(f(2)\bigg)=g(0)=4\qquad/from\ (0,4)/

7 0
3 years ago
Please help fast ^^
allsm [11]
The discriminante :
b^2-4ac

1^2 - 4 * -2 * -28 = 1 - 224 = -223

When the discriminant (b^2-4ac) is less than 0, the equation had no real solutions.

-223<0, so, 2x^2+x-28 = 0 has no real solutions.


Hope that helps :)
7 0
2 years ago
The function f(x) = 50 Times 0.8^x Models the number of ants in Jonathan's ant farm after it is stricken by a deadly any plague,
KATRIN_1 [288]

Answer:

A, D, H

Step-by-step explanation:

The function models exponential decay because the factor is 0.8 which is < 1

0.8 means 80% of the previous which is a decay of 100 - 80 = 20%

50(0.8^x)

50(0.8²)

= 32

4 0
3 years ago
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