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natta225 [31]
3 years ago
6

Apply the rules of order of operations to solve the following problems.

Mathematics
1 answer:
photoshop1234 [79]3 years ago
6 0

Answer:

Step-by-step explanation:

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Determine the factors of 3x2 + 10x − 8. (Which is the right answer?)
VMariaS [17]

ANSWER

(3x  - 2)(x + 4)

EXPLANATION

The given quadratic trinomial is

3 {x}^{2}  + 10x - 8

Comparing to the general quadratic trinomial:

a{x}^{2}  + bx  + c

We have a=1, b=10 and c=-8

ac =  3  \times  - 8 = - 24

The factors of -24 that adds up to 10 are -2 and 12.

We split the middle term to obtain;

3 {x}^{2}   + 12x   - 2x- 8

Factor;

3x(x+ 4)  -  2(x + 4)

Factor further;

(3x  - 2)(x + 4)

The last option is correct.

4 0
3 years ago
A regulation baseball field measures 90 feet between each base. What is the distance around the bases in yards?
Naddika [18.5K]
Home to 1st base = 90 ft
1st base to 2nd base = 90 ft
2nd base to 3rd base = 90 ft
3rd base to home = 90 ft
so we have a total of : (90 * 4) = 360 ft

there are 3 ft in 1 yd....
so in 360 ft, there are : 360/3 = 120 yds <==

or u could just figure it between each base....90 ft = (90/3) = 30 yds per base...and u have 4 bases....so that (4 * 30) = 120 yds
4 0
3 years ago
Sarah needs 30 liters of a 25% acid solution how many liters of the 10% and the 30% acid solutions should she mix to get what sh
sweet-ann [11.9K]

Answer:

7.5 L of 10% solution and 22.5 L of 30% solution

Step-by-step explanation:

Volume of 10% solution plus volume of 30% solution = total volume of 25% volume.

x + y = 30

Acid in 10% solution plus acid in 30% solution = total acid in 25% solution.

0.10 x + 0.30 y = 30 × 0.25

0.10 x + 0.30 y = 7.5

Solve the system of equations, using either substitution or elimination.  I'll use substitution:

x = 30 − y

0.10 (30 − y) + 0.30 y = 7.5

3 − 0.10 y + 0.30 y = 7.5

0.20 y = 4.5

y = 22.5

x = 30 − y

x = 7.5

Sarah needs 7.5 L of 10% solution and 22.5 L of 30% solution.

8 0
3 years ago
Read 2 more answers
if two angles and a non included side of one triangle must be congruent to two angles and the corresponding non-included side of
zhenek [66]

Answer:

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Write the explicit formula for the given sequence.<br> 1.5, 2.25, 3, 3.75, ...<br> need done asap
Anestetic [448]

Answer:

4.50

Step-by-step explanation:

3.75+.75=4.50

6 0
3 years ago
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