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bulgar [2K]
3 years ago
13

Rewrite the expression as the sum of two numbers 3(1+3)

Mathematics
1 answer:
Alja [10]3 years ago
5 0

Answer:

3 + 9

Step-by-step explanation:

Distribute the 3 to both numbers, so 3 x 1 = 3, and 3 x 3 = 9.

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there are 96 students signed up for the soccer league. They have 16 sponsors. How many teams of 8 players each can be formed?
musickatia [10]
If each team has 8 players, then a total of 12 teams can be formed as there are only 96 players

Pls mark as brainliest later
5 0
4 years ago
What are the roots of the polynomial equation x3 - 6x = 3x2 - 8? Use a graphing calculator and a system of equations.
makkiz [27]

Answer:

d : 4, 1, -2.

Step-by-step explanation:

There's no need for a calculator in my opinion because we can use the rational root theorem which states that the equations of this form:

\sum_{i=0}^{n} a_{i}x^i = 0 = a_{0} + a_{1}x + a_2x^2 + ... + a_nx^n = 0\\ a_i \in \mathbb{Z}

Have rational roots, than the roots are of the form: \frac{k \cdot a_o}{p \cdot a_n}, \ where \ k, p \in \mathbb{Z}.

Rewriting the equation we have:

x^3 - 3x^2 -6x + 8 = 0\\By \ our\ previous \ claim \ x \in D_8 \ where \ D_n \ the \ set \ of \ divisors \ of \ n.\\D_8 = \{\pm 1, \pm 2, \pm 4, \pm 8\} \\We \ plug \ in \ some \ number from \ D_8.\\Letting \ x = -2;\\(-2)^3 -3(-2)^2 -6(-2) + 8 = 0 \ \ \ Thus \ x+2 \ is \ a \ factor.\\We \ can \ now \ simplify \ the \ eq. \ using \ Polynomial \ Long \ Division.

x^3 -3x^2 -6x + 8 = (x+2)(Q(x))\\To \ find \ Q \ we \ divide \ the \ original \ equation \ by \ x + 2; which \ yields:\\Q(x) = x^2 - 5x + 4.\\So \ we \ can \ use \ the \ quadratic \ formula \ to \ find \ the \ roots:\\x = 4,x = 1. \\Thus \ x \in \{-2, 1, 4\}. \ \ These \ are \ all \ the \ roots.

5 0
4 years ago
4. An airplane at T(80,20) needs to fly to both U(20,60) and V(110,85). What is the shortest possible distance for the trip?
Alexeev081 [22]
Distance between T(80, 20) and U(20, 60) = sqrt((20 - 80)^2 + (60 - 20)^2) = sqrt((-60)^2 + (40)^2) = sqrt(3600 + 1600) = sqrt(5200) = 72.11 units

Distance between T(80, 20) and V(110, 85) = sqrt((110 - 80)^2 + (85 - 20)^2) = sqrt((30)^2 + (65)^2) = sqrt(900 + 4225) = sqrt(5125) = 71.59

Distance between U(20, 60) and V(110, 85) = sqrt((110 - 20)^2 + (85 - 60)^2) = sqrt((90)^2 + (25)^2) = sqrt(8100 + 625) = sqrt(8725) = 93.41

Therefore, shortest distance for the trip = 71.59 + 93.41 = 165 units.
4 0
4 years ago
Yo what's 0.994 rounded to the nearest tenth
krek1111 [17]

Answer:To round 0.994 to the nearest tenth consider the hundredths’ value of 0.994, which is 9 and equal or more than 5. Therefore, the tenths value of 0.994 increases by 1 to 0.

0.994 rounded to the nearest tenth = 1.0

Step-by-step explanation:

3 0
4 years ago
Read 2 more answers
A cashier has only one-dollar bills, quarters, and dimes. List 9 ways you could receive $2.50 in change.
musickatia [10]
1. 2 one dollar bills and 2 quarters
2. 2 one dollar bills and 5 dimes
3. 8 quarters and 5 dimes
4. 10 quarters
5.25 dimes
6.20 dimes and 2 quarters
7. 4 quarters and 15 dimes
8. 6 quarters and 10 dimes
9. 1 one dollar bill and 6 quarters

Hope this helped
7 0
3 years ago
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