1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Triss [41]
3 years ago
8

Log3 (x squared + 7x + 21) = 2

Mathematics
1 answer:
Nezavi [6.7K]3 years ago
3 0

Step-by-step explanation:

log <base a> b = x

means

a^x = b

So

3^2 = x^2+7x+21

x^2 + 7x + 21 - 9 = 0

x^2 + 7x + 12 = 0

(x+3)(x+4)

x = -3 or -4

You might be interested in
Mr. Engen rented a car for 35.00 a day and 0.45 a mile . He had the car for 2 days and paid 166.75 . How many miles did he drove
liubo4ka [24]

d = days rented for

m = miles driven for

so the cost of the car is 35 bucks a day and 45 cents or $0.45 per mile driven, let's check it out for say a few days

1st day, 3 miles......................35(1) + 0.45(3)

2nd day, 2 miles..................35(2) + 0.45(2)

3rd day, say 5 miles............35(3) + 0.45(5)

dth day, and m miles..........35d + 0.45m

so the cost function could be written as C = 35d+0.45m.

now, we know for 2 days, d = 2, it cost 166.75 bucks, so

\bf C=35d+0.45m\implies \stackrel{C}{166.75}=35(\stackrel{d}{2})+0.45m\\\\\\166.75=70+0.45m\implies 96.75=0.45m\\\\\\\cfrac{96.75}{0.45}=m\implies 215=m

7 0
3 years ago
In the star below, all of the inscribed angles are congruent. Find the measure of each inscribed angle.
ozzi

Answer:

36 degrees for each angle.

Step-by-step explanation:

If you divide 180 by 5 (for each point in the star) you get 36 degrees.

7 0
3 years ago
the table shows how the number of sit-ups Maria does each day has changed over time. At this rate, how many sit-ups will she do
tresset_1 [31]

Answer:

61

Step-by-step explanation:

a = 17

d = 21 - 17 = 4

12th day: 17 + 4(12 - 1)

17 + 44

61

8 0
3 years ago
Whats 38240 divided by 4
inn [45]

Answer:

9560

Step-by-step explanation:

Use a calculator or do long division.

You can also divide by 2 twice.

38240/2 = 19120

19120/2 = 9560

Answer: 9560

4 0
2 years ago
Read 2 more answers
Given the function f (x) = x² + 8x + 7, what are the zeros of f?
lutik1710 [3]

Answer:

x = - 7, x = - 1

Step-by-step explanation:

To find the zeros let f(x) = 0 , that is

x² + 8x + 7 = 0

Consider the factors of the constant term (+ 7) which sum to give the coefficient of the x- term (+ 8)

The factors are + 7 and + 1 , since

7 × 1 = + 7 and 7 + 1 = + 8 , then

x² + 8x + 7 = 0

(x + 7)(x + 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 7 = 0 ⇒ x = - 7

x + 1 = 0 ⇒ x = - 1

4 0
3 years ago
Other questions:
  • The figure below shows a shaded circular region inside a larger circle: A shaded circle is shown inside another larger circle. T
    12·2 answers
  • How do you prove:<br> csc^<a href="/cdn-cgi/l/email-protection" class="__cf_email__" data-cfemail="754735161a06">[email&#160;pro
    11·2 answers
  • A survey of 73 people reported that 32 of them preferred juice to milk.
    13·2 answers
  • What expression shows the value of e?
    7·1 answer
  • 3. Water flows through a pipe at a rate of 10 gallons per minute. How many gallons
    12·2 answers
  • Mia uses of a bag of soil in the morning and of a bag in the afternoon
    14·1 answer
  • Find the Balance:
    5·1 answer
  • Anyone know this two questions I can't figure this out
    15·2 answers
  • Sami earns £4.50 per hour. How many hours does he need to work to earn £90?
    7·2 answers
  • 300000÷_________=300.
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!