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
bekas [8.4K]
3 years ago
7

NEED THE ANSWER ASAP- im so confused.

Mathematics
1 answer:
makkiz [27]3 years ago
3 0

Let <em>x</em> and <em>y</em> be the two numbers.

Their sum is 140, so

<em>x</em> + <em>y</em> = 140

Twice the first number <em>x</em> is 2<em>x</em>. 5 more than this is 2<em>x</em> + 5. This is the value of the second number, so

<em>y</em> = 2<em>x</em> + 5

Substitute this into the first equation and solve for <em>x</em> :

<em>x</em> + (2<em>x</em> + 5) = 140

3<em>x</em> + 5 = 140

3<em>x</em> = 135

<em>x</em> = 135/3 = 45

Then

<em>y</em> = 2*45 + 5 = 95

You might be interested in
Find a and b so that f(x) = x^3 + ax^2 + b will have a critical point at (2,3).
Digiron [165]

Using the critical point concept, it is found that a = -3 and b = 7.

<h3>What are the critical points of a function?</h3>
  • The critical points of a function are the values of x for which:

f^{\prime}(x) = 0

In this problem, the function is:

f(x) = x^3 + ax^2 + b

Hence, the derivative is:

f^{\prime}(x) = 3x^2 + 2ax

Then:

f^{\prime}(x) = 0

3x^2 + 2ax = 0

x(3x + 2a) = 0

x = 0

3x + 2a = 0

3x = -2a

x = -\frac{2a}{3}

Since the critical point is at x = 2, we have that:

-\frac{2a}{3} = 2

-2a = 6

2a = -6

a = -3

Then:

f(x) = x^3 - 3x^2 + b

Critical point at (2,3) means that when x = 2, y = 3, then:

3 = 2^3 - 3(2)^2 + b

8 - 12 + b = 3

b = 7

You can learn more about the critical point concept at brainly.com/question/2256078

4 0
1 year ago
Subtract express your answer in simplest form 5/8-3/8=?
olchik [2.2K]
The answer is 2/8. Hope this helps.
6 0
3 years ago
Read 2 more answers
Can someone help me with this. Will Mark brainliest.
Mkey [24]

Answer:

no.

Step-by-step explanation:

since 2 of the sides are much longer than the shorter sides, diagonals of a rectangle will not intersect at a right angle (perpendicular) whereas a square, with all sides equal, would. This is because the distance from the center to each of the corners is the same for each corner.

7 0
3 years ago
Which set of ordered pairs does not represent a function?
Daniel [21]

Answer:

B

Step-by-step explanation:

3 0
2 years ago
The function g(x)=(x-2)^2. The function f(x)=g(x)+3. How much is f(x) shifted horizontally and vertically from g(x)?
Vilka [71]
For this case we have the following function transformation:
 Vertical displacement.
 Assume k> 0
 If f (x) is the original function, f (x) + k is the original function with a vertical displacement k units up.
 Answer:
 
Part 1:
 
C. The function is not shifted horizontally from g (x)
 
Part 2:
 
A. 3 units up from g (x)
5 0
3 years ago
Other questions:
  • What is the value of log2 128?
    14·2 answers
  • Given the following angles, what ray is the common side of ∠cfd and ∠dfe?
    9·1 answer
  • It takes Hank 40 minutes (2/3 hours) to mow a lawn. Penny can mow the same size lawn in 30 minutes (1/2 hour). Hank and Penny fo
    11·1 answer
  • A theater has 60 seats on the front row. There are seven additional seats in each following row.
    13·1 answer
  • twice a number plus three times another number equals 4. three times the first number plus four times the other number is 7. wha
    13·1 answer
  • A pet store owner surveys his customers about the number of pets they own. The results are below:
    12·2 answers
  • 28 is 9 less than twice a number
    11·2 answers
  • (b) Find the sum of first twenty terms of the following arithmetic progressions A.P
    12·1 answer
  • What is the greatest ten you can multiply by 2 to get close to but not over 58?
    9·1 answer
  • Abc co issues a zero coupon bond with 5 years to maturity. investor's required rate of return is 3.25%, what is the price of the
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!