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tigry1 [53]
3 years ago
14

Use the distributive property then combine any like terms 4(7p+4-2p)

Mathematics
2 answers:
ivolga24 [154]3 years ago
7 0

Answer:20p+16

Step-by-step explanation:

Combine like terms

4(7p+4-2p)

4(5p+4)

Distribute

4(5p+4)

20p+16

drek231 [11]3 years ago
3 0

Answer: 20p+16

sorry if this in incorrect please report if im wrong :(

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Our club has 25 members, and wishes to pick a president, secretary, and treasurer. In how many ways can we choose the officers,
Rus_ich [418]

Answer:

13800

Step-by-step explanation:

The order of the members is important (because each selected member will receive a different position), thus we then need to use the definition of permutation.

There are 25 members, of which 3 are selected.

\begin{array}{l}n=25 \\r=3\\end{array}

Evaluate the definition of a combination:

P(25,3)=\frac{25 !}{(25-3) !}=\frac{25 !}{22 !}=25 \cdot 24 \cdot 23=13800

8 0
3 years ago
A peach orchard owner wants to maximize the amount of peaches produced by her orchard.
qaws [65]

Answer:

  a) Y(x) = {900, x≤30; 900-40(x-30), x>30}

  b) T(x) = {900x, x≤30; 2100x-40x², x>30}

  c) dT/dx = {900, x≤30; 2100-80x, x>30}

Step-by-step explanation:

a) The problem statement gives the function for x ≤ 30, and gives an example of evaluating the function for x = 35. So, replacing 35 in the example with x gives the function definition for x > 30.

\displaystyle Y(x)=\left\{\begin{array}{lcl}900&\text{for}&x\le 30\\900-40(x-30)&\text{for}&x>30\end{array}\right.

__

b) The yield per acre is the product of the number of trees and the yield per tree:

  T(x) = x·Y(x)

\displaystyle T(x)=\left \{\begin{array}{lcl}900x&\text{for}&x\le 30\\2100x-40x^2& \text{for}&x>30\end{array}\right.

__

c) The derivative is ...

\displaystyle\frac{dT}{dx}=\left \{\begin{array}{lcl}900&\text{for}&x\le 30\\2100-80x& \text{for}&x>30\end{array}\right.

_____

The attached graph shows the yield per acre (purple, overlaid by red for x<30), the total yield (black), and the derivative of the total yield (red). You will note the discontinuity in the derivative at x=30, where adding one more tree per acre suddenly makes the rate of change of yield be negative.

6 0
3 years ago
Please help !!! :(<br> 1 and 2 form a linear pair, if the measure of 1 is 113 find the measure of 2
anzhelika [568]

Answer:

67

Step-by-step explanation:

A linear pair is two angles which form a straight angle when combined (or 180 degrees). Thus do 180 - 113 to get 67 degrees for Angle 2

6 0
3 years ago
Please answer and explain how you did it.
alukav5142 [94]

Refer to the attached image.

Given: m \angle A = 65^\circ and measure of exterior angle at C = 117^\circ.

We have to determine the measure of angle B and angle BCA.

By applying exterior angle property of the triangle which states:

"An exterior angle of a triangle is equal to the sum of the opposite interior angles".

So, exterior angle C = m \angle A + m \angle B

117^\circ = 65^\circ+ m \angle B

m \angle B = 52^\circ

Now, applying angle sum property in triangle ABC which states:

"The sum of all the angles of a triangle is 180 degrees".

m \angle A + m \angle B + m \angle BCA = 180^\circ

65^\circ + 52^\circ + m \angle BCA = 180^\circ

117^\circ + m \angle BCA = 180^\circ

m \angle BCA = 180^\circ - 117^\circ

m \angle BCA =63^\circ

Therefore, the measure of m \angle B = 52^\circ and m \angle BCA =63^\circ.

8 0
3 years ago
URGENT this is a question on my precalculus test I need help on. Thank you so much
sp2606 [1]

Answer:

a. 5i + 13j

b. 8i

c. 10i + 6j

Step-by-step explanation:

a. 2i + 6j + 3i + 7j = 5i + 13j

b. 3i + 7j + 5i - 7j = 8i

c. 2i + 6j + 3i + 7j + 5i - 7j = 10i + 6j

5 0
3 years ago
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