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vagabundo [1.1K]
3 years ago
10

Solve the equation log3(x+24)+log3 x=4

Mathematics
1 answer:
fredd [130]3 years ago
7 0
Log_3(x(x + 24) = 4

log_3(x^2 + 24x) = 4

3^4 = (x^2 + 24x)

81 = x^2 + 24x

x^2 + 24x - 81 = 0

Continue from here.
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To earn money for a contest, the math team pays $40 for a box of spirit banners. They sell each banner for $3.50. Write an equat
ankoles [38]

Answer:

3.5b - 40 where b is the amount of banners sold.

Step-by-step explanation:

We know the team has already spent $40, and they earn #3.5 per banner.

Hence, with b representing the amount of banners sold, the equation is 3.5b - 40

7 0
3 years ago
Suppose we went to choose 2 letters without replacement from 3 letters a b and c
vagabundo [1.1K]

Answer:

6 ways -  ab,ac, ba,bc and ca,cb

Step-by-step explanation:

We are given 3 letters a,b,c.

We can choose the first letter in 1 out of 3 ways.

Once the first letter has been chosen without replacement, we have two letters remaining. Another letter can be chosen from the 2 remaining letters in  2 ways. So the total number of ways of choosing the two letters is 3*2 = 6.

Listing out the possible set of choices:

Options include: ab,ac, ba,bc and ca, cb

3 0
3 years ago
Jose asks his friends to guess the higher of two grades he received on his math tests. He gives them two hints. The difference o
denis23 [38]

Option D. 96 is the correct answer.

Explanation:

Let the higher grade be = x

Let the lower grade be = y

As given, The difference of the two grades is 16

x-y=16 or x=16+y   .... (1)

The sum of one-eighth of the higher grade and one-half of the lower grade is 52.

\frac{1x}{8}+\frac{1y}{2}=52   ... (2)

Putting the value of x=16+y in equation (2)

\frac{16+y}{8}+\frac{y}{2}=52

\frac{16+y+4y}{8}=52

\frac{16+5y}{8}=52

16+5y=416

5y=400

y=80

As x=16+y

x=16+80 = 96

Hence, higher grade is 96.


8 0
3 years ago
state whether the slope of a line passing through (2, -3) and (1, 8) is positive, negative, zero or undefined.
Natalija [7]
Slope = change in y / change in x
 
          = (8 - -3) / (1 - 2)    =   (8 + 3) / ( 1 - 2)
 
          =   11 / -1
    
          = -11

Slope is negative.
4 0
2 years ago
On a certain hot​ summer's day, 391 people used the public swimming pool. The daily prices are $1.25 for children and $2.25 for
igomit [66]

Number of adults = 264

Number of children= 127

Step-by-step explanation:

Let the number of adults be......x

Let the number of children be.....y

The total number of people that used the public swimming pool is given as 391. This means

x+y=391

The total cost per the receipt is : $752.75

This means, 2.25 x+ 1.25 y = 752.75

The two equations are;

x+y=391  ...........(i)

2.25 x+ 1.25 y = 752.75...........(ii)

Making the x variable equal to eliminate x

2.25x + 2.25 y = 879.75

2.25x + 1.25 y = 752.75

Apply subtraction as

1.00 y = 127.00

y=127

Use the value of y in equation (i)

x+y=391

x+127=391

x=391-127=264

Number of adults = 264

Number of children= 127

Learn More

Simultaneous equations: brainly.com/question/12318095

Keywords ; public, swiming pool, prices, daily, adults, children, receipt, admission

#LearnwithBrainly

7 0
3 years ago
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