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shusha [124]
3 years ago
9

1

Mathematics
1 answer:
asambeis [7]3 years ago
7 0

Answer:

B

Step-by-step explanation:

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Solve for x 6x^2 +7x=20
Sunny_sXe [5.5K]

Answer:

x=4/3    ,   x=-5/2

Step-by-step explanation:

6x^2 +7x=20

6x^2+7x-20=0

(3x−4)(2x+5)

3x-4=0 ,   2x+5=0

3x=4     ,   2x=-5

x=4/3    ,   x=-5/2

6 0
4 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
1/6 _________1/4<br><br> greater than<br><br> less than
irga5000 [103]

Answer:

1/6<1/4

Step-by-step explanation:

1/4 is .25 and is 0.166666667

5 0
3 years ago
Read 2 more answers
You sell tickets for admission to your school play and collect a total of $104. Admission prices are $6 for adults and $4 for st
riadik2000 [5.3K]

Answer:

11 tickets

Step-by-step explanation:

1. write an equation:

First,  variable x symbolizes the number of adults who bought tickets. And variable y symbolizes the number of students.

If each adult paid $6, and each student paid $4, and the total dollars you've collected is 104, this is how we'll write our equation:

6x + 4y = 104

2. we can write another equation based on this information: "You sold 21 tickets". Which concludes that the number of tickets adults and students had paid for equals the number of tickets you've sold:

x + y = 21

3. now, we've got two equations. Let's compensate:

x + y = 21

x = 21 - y

6x + 4y = 104

6 (21 - y) + 4y = 104

126 - 6y + 4y = 104

-6y + 4y = -22

-2y = -22

y = -22 / -2

<u>y = 11</u>

So the number of student tickets is <u>11</u>.

3 0
3 years ago
Find the distance between the points (-1,-9) and (1,-4)
Snezhnost [94]

The distance between the two points is 5.4

Explanation:

The points are (-1,-9) and (1,-4)

The distance between the two points can be determined using the formula

d=\sqrt{\left(x_{2}-x_{1}\right)^{2}+\left(y_{2}-y_{1}\right)^{2}}

Substituting the values in the formula, we get,

d=\sqrt{(1+1)^{2}+(-4+9)^{2}}

Adding the values,

d=\sqrt{2^{2}+5^{2}}

Squaring the terms, we get,

d=\sqrt{4+25}

Simplifying, we have,

d=\sqrt{29}=5.4

Thus, the distance between the two points is 5.4

7 0
3 years ago
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