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babymother [125]
2 years ago
14

The sum of two consecutive integers is -15.If 1 is added to the smaller integer and 2 is subtracted from the larger integer,what

is the product of the two resulting integers?
Mathematics
1 answer:
daser333 [38]2 years ago
4 0
Answer: 63

Explanation:
Start by finding the integers. We know that;
x+1=y & x+y=-15
to solve this we create
2x=-15-1
2x=-16
x=-8

from this we know that
-8+1=y
-7=y

now we know the integers are -7 & -8.

finally,
(-8+1)(-7-2)=?
-7x-9=63

therefore the answer is 63.

Hope this helps :)
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Xelga [282]
Solution for part A is where the red line and the red line meet, (2,-1)
solution for part B: any point on the blue red line is a solution. (2, -1), (0, 3), (3, -3), (-2, 7)
solution for part C is where the green curve and the blue line meet, (0,3)
3 0
3 years ago
The trees at a national park have been increasing in numbers. There were 1,000 trees in the first year that the park started tra
ivanzaharov [21]
The sequence forms a Geometric sequence as the rule to obtain the value for the next term is by ratio

Term 1: 1000
Term 2: 200
Term 3: 40

From term 1 to term 2, there's a decrease by \frac{1}{5}
From term 2 to term 3, there's a decrease also by \frac{1}{5}

The rule to find the n^{th} term in a sequence is 
n^{th}=a r^{n-1}, where a is the first term in the sequence and r is the ratio

So, the formula for the sequence in question is
n_{th} term = 1000( \frac{1}{5} ^{n-1} )

The sequence is a divergent one. We can always find the value of the next term by dividing the previous term by 5 and if we do that, the value of the next term will get closer to 'zero' but never actually equal to zero.

We can find a partial sum of the sequence using the formula
S_{∞} = \frac{a}{1-r} for -1<r<1 
Substituting a=1000 and r= \frac{1}{5} we have 
S_{∞} = \frac{1000}{1- \frac{1}{5} } = 1250

Hence, the correct option is option number 1

6 0
3 years ago
Z varies directly as x2. If z = 16 when x = 2, find z when x = 5.<br> ...<br> Z=
PtichkaEL [24]

Answer:

100

Step-by-step explanation:

it is a bit unclear to me, what that problem description means.

if I understand it correctly, than z is directly depending on x².

so, z = 16 for x = 2. x² = 4

I pondered a little bit, as there are several possibilities to connect 16 with 4 as a driving factor (e.g. 2⁴ = 16, 4×4 = 16, 12 + 4 = 16).

I decided to go with the simplest interpretation with the usual meaning of "varies" (multiplication) : 4×x²

that would mean

z = 4×x² = 4×5² = 4×25 = 100

3 0
3 years ago
A ramp 18 ft long rises to a platform. The bottom of the platform is 13 ft from the foot of the ramp. Find x, the angle of eleva
Varvara68 [4.7K]

Answer:

The answer to your question is: Ф = 43.95°

Step-by-step explanation:

Data

length = 18 ft

distance bottom to is 13 ft

x = angle = ?

Formula

cos Ф = opposite side / hypotenuse  

Process

cos Ф = 13 ft / 18 ft                   substitution

cos Ф = 0.72                            simplify

Ф = cos⁻¹ (0.72)

Ф = 43.95°                                result

8 0
3 years ago
Simplify: 3^2 · 3^4 <br> A) 3^6 <br> B) 3^8 <br> C) 3^2 <br> D) 9^6
Greeley [361]

Answer:

3^6

Step-by-step explanation:

3^2 * 3^4

You add the exponents together.

3 0
3 years ago
Read 2 more answers
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