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
tatiyna
3 years ago
13

Need help with maths ASAP

Mathematics
1 answer:
givi [52]3 years ago
8 0

Answer:

a = 7

b = 3

Step-by-step explanation:

So you can come up with 2 equations.

a(9 + b) = 84

ab = 21

On the first equation, divide by 9 + b on both sides.

a=\frac{84}{9+b}

n the second equation, divide by b on both sides.

a=\frac{21}{b}

Now you can set them equal and solve for b.

\frac{84}{9+b}=\frac{21}{b}

Cross multiply:

84b = 189 + 21b

63b = 189

b = 3

a = 7

You might be interested in
Write the equation: a number increased by 4 is 10
Verizon [17]

Answer:

x + 4 = 10

Step-by-step explanation:

a number: x

a number increased by 4: x + 4

a number increased by 4 is 10: x + 4 = 10

Since 4 + x and x + 4 are the same, you are correct.

7 0
3 years ago
Read 2 more answers
Use calculus to find the absolute maximum and minimum values of the function. (round all answers to three decimal places.) f(x)
Allisa [31]
Part A:

Given the function f(x)=x+2\cos(x), the absolute maximum or minimum occurs when f'(x)=0.

f'(x)=0 \\  \\ \Rightarrow1-2\sin{x}=0 \\  \\ \Rightarrow2\sin{x}=1 \\  \\ \Rightarrow\sin{x}= \frac{1}{2}  \\  \\ \Rightarrow x=\sin^{-1}{\frac{1}{2}}= \frac{\pi}{6}

Using the second derivative test,

f''(x)=-2cosx \\  \\ \Rightarrow f''\left( \frac{\pi}{6} \right)=-2\cos{\left( \frac{\pi}{6} \right)}=-1.732

Since the second derivative gives a negative number, the given function has a maximum point at x=\frac{\pi}{6}.

And the maximum point is given by:

f\left( \frac{\pi}{6} \right)=\frac{\pi}{6}+2\cos\left( \frac{\pi}{6} \right) \\  \\ =0.5236+2(0.8660)=0.5236+1.732 \\  \\ =\bold{2.256}

i.e. \left(\frac{\pi}{6},\ 2.256\right)



Part B:

Given the function f(x)=e^{-x}-e^{-2x}, the absolute maximum or minimum occurs when f'(x)=0.

f'(x)=0 \\ \\ \Rightarrow-e^{-x}+2e^{-2x}=0 \\ \\ \Rightarrow2e^{-2x}=e^{-x} \\ \\ \Rightarrow2e^{-x}=1 \\ \\ \Rightarrow e^{-x}=\frac{1}{2} \\  \\ \Rightarrow-x=\ln \frac{1}{2}=-0.6931 \\  \\ \Rightarrow x=0.6931

Using the second derivative test,

f''(x)=e^{-x}-4e^{-2x} \\ \\ \Rightarrow f''(0.6931)=e^{-0.6931}-4e^{-2(0.6931)} \\  \\ =0.5-4e^{-1.386}=0.5-4(0.25)=0.5-1 \\  \\ =-0.5

Since the second derivative gives a negative number, the given function has a maximum point at x=0.6931.

And the maximum point is given by:

f(0.6931)=e^{-0.6931}-e^{-2(0.6931)} \\  \\ =0.5-e^{-1.386}=0.5-0.25=\bold{0.25}

i.e. (0.693, 0.25)
3 0
3 years ago
Which of the following expressions is equivalent to the logarithmic expression below? HELP PLEASE HELP ME PLEASE PLEASE HELP PLE
IrinaK [193]
Using log rules:
when you divide and then sperate you subtract.
So
Log3(5/x^2) would be A
Log3(5)-Log3(x^2)
4 0
4 years ago
8. A store owner paid $15 for a book. She marked up the price of the book by 40% to determine its selling price. What is the sel
alexdok [17]

Answer:

21

Step-by-step explanation:

5 0
3 years ago
Write the word sentence as an inequality. <br> the sum of a number w and 2.56 is at least 10.24
katen-ka-za [31]

Answer:

w + 2.56 ≥ 10.24

Step-by-step explanation:

The least w + 2.56 could be is 10.24 which means that w + 2.56 could be more than 10.24

8 0
2 years ago
Other questions:
  • Write <br> 29/5<br> as a mixed number in simplest form.
    5·2 answers
  • Find 1206 ×5 using expanded form. --------×5=
    14·1 answer
  • Model the following situation with an equation or inequality statement. The quotient of forty-nine and a number is greater than
    14·1 answer
  • 5n + 34 + -2 (1 - 7n)
    11·2 answers
  • What is 5 1/2 of 60%
    5·1 answer
  • Is negative 51 over 5 rational or irrational?
    12·1 answer
  • Solve: 4x 6&lt;-6 and show steps
    10·1 answer
  • If 3/4 ton of pebbles covers 4/5 of a garden, how many tons of pebbles are required to cover the entire garden?
    6·2 answers
  • What is the annual interest earned on a $4,000 deposit with a simple interest rate of 3%?
    6·2 answers
  • Help someone please thanks
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!