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dimulka [17.4K]
3 years ago
12

Solve for x Write the smaller solution first, and the larger solution second.

Mathematics
1 answer:
posledela3 years ago
6 0

Answer:

x= -18.16    x= -11.84

Step-by-step explanation:

(x+15)(x+15)=         x^2+30x+225-10=0

x^2+30x+215=0

a=1                      -30±√(30)²-4(1)(215)

b=30                   -----------------------------  

c=215                              2(1)

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Jax and Sofia collect baseball cards. Jax has 56 cards and Sofia has 68. They each joined different baseball-collecting clubs. E
masya89 [10]
Jax gets 4 packs per month...each pack contains 4 cards...so he gets 16 cards per month.
Sofia gets 3 packs per month..each pack contains 4 cards...so she gets 12 cards per month..

56 + 16m = 68 + 12m
16m - 12m = 68 - 56
4m = 12
m = 12/4
m = 3.....they will have the same number of cards in 3 months

Jax : 56 + 16(3) = 104 cards
Sofia : 68 + 12(3) = 104 cards

and they will both have 104 cards

7 0
3 years ago
Determine if the sequence is geometric. If it is, find the common ratio, the 8th term, and the explicit formula. -2, 6, -18, 54,
aleksandrvk [35]

Answer:

Step-by-step explanation:

In a geometric sequence, the consecutive terms differ by a common ratio,r. Considering the given sequence,

r = 6/- 2 = - 18/6 = - 3

Therefore, the sequence is geometric.

The formula for determining the nth term of a geometric progression is expressed as

Tn = ar^(n - 1)

Where

a represents the first term of the sequence.

r represents the common ratio.

n represents the number of terms.

From the information given,

a = - 2

r = - 3

The explicit formula is

Tn = - 2 × (- 3)^(n - 1)

To find the 8th term, T8,

T8 = - 2 × (- 3)^(8 - 1)

T8 = - 2 × (- 3)^7

T8 = - 2 × - 2187

T8 = 4374

3 0
3 years ago
PLZ HELP ASAP
svet-max [94.6K]
Answer is D:
e + 5 = 3e - 11

2e = 16
e = 8

Ella is 8 years old
Jamie is 8+5 = 13 years old
6 0
3 years ago
a box contains 4 yellow, 5 green and 3 blue balls. find the probability of obtaining a yellow ball in a single random draw.
Alex

Notice that the box has a total os 4 + 5 + 3 = 12 balls, since there are 4 that are yellow, then, the probability to randomly obtaining a yellow ball in a single draw is:

P(Yellow)=\frac{\text{ number of yellow balls}}{\text{total number of balls}}=\frac{4}{12}=0.33

therefore, the probability is 0.33 = 33%

7 0
1 year ago
1. Find the inverse of the one-to-one function f(x)= 6x-7 / 5
Elenna [48]
Rewrite it as y=6x-7/5

Flip the x and y
x=6y-7/5

Solve
5x=6y-7
5x+7=6y
5/6x+7/6=y

f^-1(x)=5/6x+7/6
4 0
3 years ago
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