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
Radda [10]
3 years ago
9

What is the solution of 4x = 32 - x2?

Mathematics
1 answer:
nydimaria [60]3 years ago
7 0
4x = 32 - 2x
Add -2x (or subtract 2x) from each side
2x = 32
Divide both sides by 2
x = 16
You might be interested in
The probability that a new advertising campaign will increase sales is assessed as being 0.80. The probability that the cost of
tatuchka [14]

Answer:

The probability that the cost is kept within budget or the campaign will increase sales is 0.88

Step-by-step explanation:

The probability that the cost is kept within budget (event A) <u>or</u> the campaign will increase sales (event B) is the <u>union</u> of the probability of those two events. By basic properties of probability, this is:

P(A ∪ B) = P(A) + P (B) - P(A ∩ B)

and for independent events:

P(A ∩ B) = P(A) * P(B)

So:

P(A ∪ B) = 0.80 + 0.40 - (0.80*0.40) = 1.20 - 0.32 = 0.88

5 0
3 years ago
Wyatt plays on the school baseball team. In the last 10 games, Wyatt was
Ksju [112]

Answer:

Step-by-step explanation:

21 hits / 45 at bats

7/15

5 0
3 years ago
Find the smallest positive $n$ such that \begin{align*} n &amp;\equiv 3 \pmod{4}, \\ n &amp;\equiv 2 \pmod{5}, \\ n &amp;\equiv
Alex777 [14]

4, 5, and 7 are mutually coprime, so you can use the Chinese remainder theorem right away.

We construct a number x such that taking it mod 4, 5, and 7 leaves the desired remainders:

x=3\cdot5\cdot7+4\cdot2\cdot7+4\cdot5\cdot6

  • Taken mod 4, the last two terms vanish and we have

x\equiv3\cdot5\cdot7\equiv105\equiv1\pmod4

so we multiply the first term by 3.

  • Taken mod 5, the first and last terms vanish and we have

x\equiv4\cdot2\cdot7\equiv51\equiv1\pmod5

so we multiply the second term by 2.

  • Taken mod 7, the first two terms vanish and we have

x\equiv4\cdot5\cdot6\equiv120\equiv1\pmod7

so we multiply the last term by 7.

Now,

x=3^2\cdot5\cdot7+4\cdot2^2\cdot7+4\cdot5\cdot6^2=1147

By the CRT, the system of congruences has a general solution

n\equiv1147\pmod{4\cdot5\cdot7}\implies\boxed{n\equiv27\pmod{140}}

or all integers 27+140k, k\in\mathbb Z, the least (and positive) of which is 27.

3 0
3 years ago
I’m going to be posting a lot of math questions so look at my account if you wanna answer the rest
IRINA_888 [86]

Answer:

3.Area=πr²

d=14ft

r=7 ft

22/7*7*7

area=154ft²

5.area =1/2 bh

h=13cm

area=32.5cm²

32.5=1/2*13*b

32.5=13/2b

=5.0 or 5

base=5cm

Step-by-step explanation:

4 0
2 years ago
What variable do we use for slope? A.x B.y C.m D.b
Nady [450]

Answer:

y we use y

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Other questions:
  • A pair of socks costs $2.50 originally. The price is reduced to $1.75. What is the percent change?
    7·2 answers
  • Brett is 75 feet from the base of a building. he measures the angle of elevation to the top of the building and records it as 80
    6·1 answer
  • Suppose you invest $2000 at an annual interest rate of 4.9% compounded continuously. How much will you have in the account after
    14·1 answer
  • 40 POINTS
    10·2 answers
  • Please answer please please
    8·1 answer
  • Find the slope of everyline that is perpendicular to the graph of the equation y-2/3x=2
    11·1 answer
  • Which of these represents the equation of a line that passes through the points (-5, -4) and (3, 8)?
    7·1 answer
  • Determine m∠U if m∠R = 9x - 10 and m∠U = 3x + 4.
    10·1 answer
  • Express 18 as a product of its factors?​
    13·1 answer
  • A fast food restaurant was selling 77 boxes of chicken nuggets for 25.90. A competing restaurant was selling 33 boxes of chicken
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!