Ask question

Ask question

All categories

3 years ago

13

X^2 +105x-1050=1550 please help

2 answers:

bazaltina [42]3 years ago

8 0

-x^2+105x-1050=1550
We move all terms to the left:
-x^2+105x-1050-(1550)=0
We add all the numbers together, and all the variables
-1x^2+105x-2600=0
a = -1; b = 105; c = -2600;
Δ = b2-4ac
Δ = 1052-4·(-1)·(-2600)
Δ = 625
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
<span><span>x1</span>=<span><span>−b−<span>Δ√</span></span><span>2a</span></span></span><span><span>x2</span>=<span><span>−b+<span>Δ√</span></span><span>2a</span></span></span>
<span><span>Δ<span>−−</span>√</span>=<span>625<span>−−−</span>√</span>=25</span> <span><span>x1</span>=<span><span>−b−<span>Δ√</span></span><span>2a</span></span>=<span><span>−(105)−25</span><span>2∗−1</span></span>=<span><span>−130</span><span>−2</span></span>=+65</span> <span><span><span>x2</span>=<span><span>−b+<span>Δ√</span></span><span>2a</span></span>=<span><span>−(105)+25</span><span>2∗−1</span></span>=<span><span>−80</span><span>−2</span></span>=+40</span></span>

nika2105 [10]3 years ago

8 0

X equals 2588 over 105 which simplifies to 24.6

You might be interested in

The value of the digit 5 in 634,952 is how many times the value of the 5 in 43,597

stealth61 [152]

Answer:

A}

Step-by-step explanation:

It is 10 times because it is one digit to the left that makes 10 times greater

6 0

4 years ago

Read 2 more answers

he number of surface flaws in plastic panels used in the interior of automobiles has a Poisson distribution with a mean of 0.02

Yakvenalex [24]

Answer:

a) 98.01%

b) 13.53\%

c) 27.06%

Step-by-step explanation:

Since a car has 10 square feet of plastic panel, the expected value (mean) for a car to have one flaw is 10*0.02 = 0.2

If we call P(k) the probability that a car has k flaws then, as P follows a Poisson distribution with mean 0.2,

$P(k)= \frac{0.2^ke^{-0.2}}{k!}$

a)

In this case, we are looking for P(0)

$P(0)= \frac{0.2^0e^{-0.2}}{0!}=e^{-0.2}=0.9801=98.01\%$

So, the probability that a car has no flaws is 98.01%

b)

Ten cars have 100 square feet of plastic panel, so now the mean is 100*0.02 = 2 flaws every ten cars.

Now P(k) is the probability that 10 cars have k flaws and

$P(k)= \frac{2^ke^{-2}}{k!}$

and

$P(0)= \frac{2^0e^{-2}}{0!}=0.1353=13.53\%$

And the probability that 10 cars have no flaws is 13.53%

c)

Here, we are looking for P(1) with P defined as in b)

$P(1)= \frac{2^1e^{-2}}{1!}=2e^{-2}=0.2706=27.06\%$

Hence, the probability that at most one car has no flaws is 27.06%

6 0

3 years ago

Read 2 more answers

Hey, I need help BAD!! I am doing PEMDAS. 7+(5times6)45+9<br><br><br> Please help me!! Thanks!

leonid [27]

Answer:1

<h2>1,366</h2>

Step-by-step explanation:

P - parenthsis

E - exponents

M - multiplication

D - division

A - addition

S - subtraction

<h3>STICK TO THE ORDER:</h3>

7 + 5 x (6 x 45) + 9 = 1,336 ( Not the pemdas order)

But,

<h3>7 + (5 x 6)45 + 9 = 1,366 is the correct order for using PEMDAS.</h3>

4 0

3 years ago

Simplify x + 4 - 5x - 2

Blababa [14]

Answer:

-2(2x-1)

Step-by-step explanation:

x+4-5x-2

1) collect like like terms

-4x+2

2) factor out the -2

-2(2x-1)

3) that gives you the final answer of

-2(2x-1)

7 0

3 years ago

a lawn is in the shape of a rectangle with a length of 100 feet and a width of 45 feet. how many whole bags of fertilizer must b

leva [86]

Answer:

3 bags

Step-by-step explanation:

$45 \times 100 = 4500 \\ 4500 \div 2000 = 2.25$

you cant have 0.25 of a bag so you round up to 3.

8 0

4 years ago