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taurus [48]
3 years ago
12

+ 8a + 15 = 0" alt=" {a }^{2} + 8a + 15 = 0" align="absmiddle" class="latex-formula">
​
Mathematics
1 answer:
NISA [10]3 years ago
8 0

Answer:

a = - 5, a = - 3

Step-by-step explanation:

Given

a² + 8a + 15 = 0 ← in standard form

(a + 3)(a + 5) = 0 ← in factored form

Equate each factor to zero and solve for a

a + 3 = 0 ⇒ a = - 3

a + 5 = 0 ⇒ a = - 5

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Find the 107 term of the sequence -9, -5, -1, 3, 7, ....
Alex17521 [72]

the sequence is 4n-13, so substitute 107 into n and it will become 4(107)-13 =415

5 0
3 years ago
The numbers of pencils in joes backpack is 5 more than the number of pencils in sara's backpack.if joe has 8 pencils in his back
Basile [38]
The answer would be 3 more

7 0
3 years ago
Suppose we want to choose 6 letters, without replacement, from 15 distinct letters. (A) how many ways can this be done, if the o
Olenka [21]

Answer:

Below in bold.

Step-by-step explanation:

A.This is the number of combinations of 6 from 15

= 15C6

=  15! / (15-6)! 6!

= 5,005 ways.

B.  This is the number of permutaions of 6 from 15:

= 15! / (15-6)!

= 3,603,600 ways.

7 0
3 years ago
For f (x) = 4 x +1 and g(x) = x^2- 5, find (g/f)(x)
Lady bird [3.3K]

Answer:

The answer is: \frac{x^2-5}{4x+1}

Step-by-step explanation:

We are given: f(x)=4x+1 and g(x) = x^2-5

We need to find (g/f)(x).

Simply divide g(x) and f(x)\\.

Which equates to:

(g/f)(x)= \frac{g(x)}{f(x)} =\frac{x^2-5}{4x+1}

This cannot be simplified further, so it is the answer.

3 0
3 years ago
There were n signers of the Declaration of Independence. The oldest was Benjamin Franklin, who was y years old. 7 is 10% of y an
zvonat [6]
Assuming n is the number of signers.

7 is 10% of y.
7 = 0.1y
y = 70

n is 80% of y
n = 0.8y
n = 0.8(70)
n = 56
56 signers
8 0
3 years ago
Read 2 more answers
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