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
shutvik [7]
3 years ago
6

Assign two variables for each problem, and write the equations. Do not solve.

Mathematics
1 answer:
Xelga [282]3 years ago
7 0
Call the number of trumpet players "T" and the number of horn players "H".

We can use the given information to set up equations:

1."<span>the number of trumpet players is 4 times the number of French horn players"
T=4H

2. "</span><span>There are 35 trumpet and French horn players in the band."
T+H=35

If you were asked to solve you could now do it by substitution:
4H+H=35
5H=35
H=7
T=4H
T=4(7)
T=28</span>
You might be interested in
The infinite geometric series S=1+( 2/3 )+( 2/3 )^ 2 +( 2/3 )^ 3 .... equal to:
weqwewe [10]

SOLUTION

The question simply means that we should find the sum to infinity of the geometric series.

The formula of sum to infinity of a geometric serie is given by

S_{\infty}=\frac{a}{1-r}

Where

\begin{gathered} S_{\infty}\text{ is the sum to infinity} \\  \\ a\text{ is the first term = 1} \\  \\ r\text{ is the common ratio = }\frac{2}{3} \end{gathered}

So, this becomes

\begin{gathered} S_{\infty}=\frac{a}{1-r} \\  \\ S_{\infty}=\frac{1}{1-\frac{2}{3}} \\  \\ S_{\infty}=\frac{1}{\frac{3-2}{3}} \\  \\ S_{\infty}=\frac{1}{\frac{1}{3}} \\  \\ S_{\infty}=3 \end{gathered}

Therefore, option b is the correct answer

5 0
1 year ago
HELP PLEASE!! i just need #8 through #10
Nady [450]

Answer:

ok hi 4___________$_______

6 0
2 years ago
Help!!!
Artyom0805 [142]

Answer:

  C:  y+7=2/5(x+4)

Step-by-step explanation:

The point-slope form of the equation of a line with slope m through point (h, k) is ...

  y -k = m(x -h)

You are given m=2/5 and (h, k) = (-4, -7). Put these numbers into the form and simplify the signs:

  y -(-7) = 2/5(x -(-4)) . . . . . numbers put into the form

  y +7 = 2/5(x +4) . . . . . . . signs simplified . . . . matches choice C

5 0
3 years ago
What is the product of the complex numbers 3 - 4iand 6+i where i= -1
mixas84 [53]

Answer:

35

Step-by-step explanation:

Since i=-1, we can rewrite the equation as 3-[4(-1)} multiplied by 6+(-1). Since

4 x-1=, 3-(-4)=7. 6-1=5, and 7x5=35.

5 0
2 years ago
Read 2 more answers
How to solve these question?
mart [117]
3.) An extreme value refers to a point on the graph that is possibly a maximum or minimum. At these points, the instantaneous rate of change (slope) of the  graph is 0 because the line tangent to the point is horizontal. We can find the rate of change  by taking the derivative of the function.

y' = 2ax + b

Now that we where the derivative, we can set it equal to 0.

2ax + b = 0

We also know that at the extreme value, x = -1/2. We can plug that in as well.

2a (-\frac{1}{2} ) + b = 0

The 2 and one-half cancel each other out.

-a + b = 0

a = b

Now we know that a and b are the same number, and that ax^2 + bx + 10 = 0 at x = -1/2. So let's plug -1/2 in for x in the original function, and solve for a/b.

a(-0.5)^2 + a(-0.5) + 10 = 0

0.25a - 0.5a + 10 = 0

-0.25a = -10

a = 40

b = 40

To determine if the extrema is a minima or maxima, we need to go back to the derivative and plug in a/b.

80x + 40

Our critical number is x = -1/2. We need to plug a number that is less than -1/2  and a number that is greater than -1/2 into the derivative.

LESS THAN:
80(-1) + 40 =  -40

GREATER THAN:
80(0) + 40 = 40

The rate of change of the graph changes from negative  to positive at x = -1/2, therefore the extreme value is a minimum.

4.) If the quadratic function is symmetrical about x = 3, that means that the minimum or maximum must be at x = 3.

y' = 2ax + 1

2a(3) + 1 = 0

6a = -1

a = -1/6

So now plug the a value and x=3 into the original function to find the extreme value.

(-1/6)(3)^2 + 3 + 3 = 4.5

The extreme value is 4.5


7 0
3 years ago
Other questions:
  • Jason is drawing a blueprint of his bedroom for his new house. Using a scale of 1 inch = 3.5 feet, he drew his bedroom 3 inches
    6·1 answer
  • the table shows the number of yards a football player runs in each quater of a game find the mean number of yards the player run
    11·1 answer
  • Brennan is making a poster for the drama club's new production. it is a regular pentagon with side lengths of 12 inches. the sch
    11·1 answer
  • Simplify the expression 3 1/4^2 to demonstrate the power of a power property. Show any intermittent steps that demonstrate how y
    5·2 answers
  • 7 &lt; 12 + c &lt; 13<br><br><br> Pls help me show work
    14·2 answers
  • The range of the function f(k) = k2 + 2k + 1 is {25, 64}. What is the function’s domain?
    7·2 answers
  • You are ordering shirts for the math club at your school. Short-sleeved shirts cost $10 each. Long-sleeved shirts cost $12 each.
    5·1 answer
  • If represents the number of bacteria in a culture at time t, how many will there be at time
    12·1 answer
  • A square room has a floor area of 81 square feet. the height of the room is 5 what is the area of one wall
    8·1 answer
  • Find the slope of the line that passes through the points (2,4) and (-4,2)
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!