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Tju [1.3M]
3 years ago
13

Find the solutions to the system below y=x2+6x y=x−4

Mathematics
1 answer:
dangina [55]3 years ago
7 0

both and then combine them or just find them 1 by 1

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Which of the following equations describes the line shown
Arisa [49]
(-4,4) , (2,1)
slope=(y2-y1)/(x2-x1)
slope=m =(4-1)/(-4-2)=-3/6=-1/2
(y-y1)=m(x2-x1)
y-4=-1/2(x+4)
y-1=-1/2(x-2)

A,F
5 0
3 years ago
Solve this system of equations: y = x2 – 3x + 12 y = –2x + 14 1.Isolate one variable in the system of equations, if needed. y =
gladu [14]
The values of x are 2 and -1.

Solving the equation created by substitution listed in the question:

-2x+14=x²-3x+12

Add 2x to both sides:
-2x+14+2x=x²-3x+12+2x
14=x²-1x+12

Subtract 14 from both sides:
14-14=x²-1x+12-14
0=x²-1x-2

Factoring this, we want factors of -2 that sum to -1; -2(1) = -2 and -2+1=-1:
0=(x-2)(x+1)

Using the zero product property, we know that either x-2=0 or x+1=0:
x-2=0
x-2+2=0+2
x=2

x+1=0
x+1-1=0-1
x=-1
4 0
3 years ago
Read 2 more answers
The expression for the distance traveled is rt where r represents rate and t represents time.
astraxan [27]

I don't really get what the "35,000 feet university sea level" part is saying, but without it, the answer would be:

3.5 x 550 = 1,925

The plane traveled 1,925 miles.

And with it, the answer would be:

3.5 x 550 = 1,925

35,000 ft = 6.6 mi

1,925 + 6.6 = 1,931.6

The plane traveled 1,931.6 miles.

Hope this helped a little at least.

8 0
3 years ago
A bank manager is interested in the average length of time that customers are willing to wait in line before they give up and le
Fynjy0 [20]

Answer: The average length of time that the 25 customers waited before leaving the bank.   <u> e. Statistic</u>

The list of times for the 25 customers who left the bank.  <u> f.Data </u>

All of the bank's customers                                         <u> d. Population</u>

The 25 customers that the manager observed leave.         <u> c. Sample</u>

The length of time a customer waits before leaving the bank.  a. <u>Variable.</u>

The average length of time that all customers will wait before leaving the bank <u>a. Parameter</u>

Step-by-step explanation:

A data is a list of observations.

In statistics, a variable is an attribute that defines  a person, place, thing, or thought.

A large group that have similar individuals as per the researcher's point of view is known as population, where its subset is known as sample.

The measure of certain characteristic in population is known as parameter, where for sample it is known as statistic.

8 0
3 years ago
The number y of hits a new website receives each month can be modeled by y = 4070ekt, where t represents the number of months th
makvit [3.9K]

Answer:

<u><em>k = 0.2645</em></u>

Step-by-step explanation:

Given model:

y = 4070 e^{kt}

y = no. of hits website received = 9000 (in 3rd month)

t= no. of months website has been operational = 3

put in the above equation:

9000 = 4070  e^{3k}

\frac{9000}{4070} = e^{3k}

\frac{900}{407}=e^{3k}

<u><em>Taking natural logarithm on both sides, we get:</em></u>

ln\frac{900}{407}=ln(e^{3k})

ln\frac{900}{407}= 3k ln<em>e</em>

ln<em>e</em>=1

ln \frac{900}{407}= 3k

or k = \frac{1}{3}ln\frac{900}{(407)}

k =\frac{1}{3}(0.7936)

<em>k = 0.2645</em>

<em />

7 0
3 years ago
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