MATHEMATICS HIGH SCHOOL

Simplify: 3√28 +4√7 + 2√32O
A) 10√7 + 8√2
B) 14√7 +5√2
C) 10√7 +5√2
OD) 10√7 -√2

Answers

Answer 1
Answer:

Answer: Option A; 10√7 + 8√2.

To simplify the expression 3√28 + 4√7 + 2√32, we can follow these steps:

1. Simplify √28 as 2√7.

2. Simplify √32 as 4√2.

3. Rewrite the expression as 3(2√7) + 4√7 + 2(4√2).

4. Combine like terms to get 6√7 + 4√7 + 8√2.

5. Combine the coefficients: 6 + 4 = 10 for √7, and 8 for √2.

6. The simplified expression is 10√7 + 8√2.

Therefore, the correct answer is option A, 10√7 + 8√2.

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A soldier drinks 2/9 of a liter of water a day. How many liters will he need for 14 days

Answers

Answer:

28/9

Step-by-step explanation:

14/1 * 2/9

Answer:

3.108

Step-by-step explanation:

1. 2 divided by 9 equals 0.222

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Solve for m: 8(m+5)=16 ?

Answers

8(m+5)=16
8m+40=16
8m=24
m=3
8+5=13 then 16 -13 is 3=m

Zero product property to solve equations1. a^2+8a=0
2. (3h-6)(2h-8)=0
3. 6m^2+17m+5=0
4. y^2-36=0
5. (3g+4)^2=0

Answers

1.              a² + 8a = 0
             a(a) + (8) = 0
               a(a + 8) = 0
a = 0    or    a + 8 = 0
                       - 8  - 8
                         a = -8

2.               (3h - 6)(2h - 8) = 0
    (3(h) - 3(2))(2(h) - 2(4)) = 0
             (3(h - 2))(2(h - 4)) = 0
                   6(h - 2)(h - 4) = 0
                             6             6
                     (h - 2)(h - 4) = 0
        h - 2 = 0    or    h - 4 = 0
          + 2 + 2             + 4 + 4
             h = 2                 h = 4

3.                            6m² + 17m + 5 = 0
                     6m² + 15m + 2m + 5 = 0
    3m(2m) + 3m(5) + 1(2m) + 1(5) = 0
                3m(2m + 5) + 1(2m + 5) = 0
                           (3m + 1)(2m + 5) = 0
               3m + 1 = 0    or    2m + 5 = 0
                      - 1  - 1                  - 5  - 5
                     3m = -1                2m = -5
                      3       3                 3       3
                       m = ⁻¹/₃                 m = -1²/₃

4.                          y² - 36 = 0
              y² - 6y + 6y - 36 = 0
    y(y) - y(6) + 6(y) - 6(6) = 0
             y(y - 6) + 6(y - 6) = 0
                    (y + 6)(y - 6) = 0
       y + 6 = 0    or    y - 6 = 0
           - 6 - 6              + 6 + 6
             y = -6               y = 6

5. (3g + 4)² = 0
(√(3g + 4))² = √(0)
        3g + 4 = 0
              - 4  - 4
               3g = -4
                3      3
                  g = -1¹/₃

Given f^{-1} (x)=2x^3+3. Write an equation that represents f(x).I just need some help. I can't figure out this problem since I'm watching a toddler while doing this.

Answers

Answer:

f(x) = [(x - 3)/2]^⅓

Step-by-step explanation:

f(x) is the inverse of f^-1

y = 2x³ + 3

x³ = (y - 3)/2

x = cuberoot [(y - 3)/2]

Interswitch variables

f(x) = [(x - 3)/2]^⅓

1.25, 12,5%, 1.257 x 10-2

Order from least to greatest

Answers

1.25, 12.5, and 1.257 x 10-2

Rock music accounts for 64% of the record sales of True Tones Record Company. If next year's production is planned at 300,000 record's, how many of the CD's will be of rock music?

Answers

Answer:

192,000 of the CDs will be of rock music

Step-by-step explanation:

In this question, we are tasked with calculating how many of the CD’s will be of rock music.

To calculate this, we proceed as follows;

We simply find 64% of the total planned production of 300,000

Hence, we have

64/100 * 300,000

= 64 * 3000 = 192,000
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