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3 years ago

Which of the following are solutions to the equation below? Check all that apply.

Mathematics

1 answer:

Vesna [10]3 years ago

5 0

(3x + 4)2 = 14

(3x + 4)2 means that 2 will multiply both 3x and 4

2 * 3x = 6x 2 * 4 = 8

6x + 8 = 14

Move +8 to the other side of the equation

6x = 14 - 8 Note : Moving +8 to the other side will change the sign in front of it, that is from + to -

6x = 14 - 8

6x = 6

Divide both sides by 6 because of the 6 beside the x : 6x

6x/6 = 6/6

x = 1

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Modular arithmetic<br> Pls a little explaine it

fredd [130]

Step-by-step explanation:

(72)¹⁴³ ≡ x (mod 7)

Since 72 ≡ 2 (mod 7),

72³ ≡ 2³ (mod 7) ≡ 1 (mod 7).

Therefore (72)¹⁴³ = (72³)⁴⁷ * (72²)

≡ 1⁴⁷ * 4 (mod 7) ≡ 4 (mod 7).

The answer is A.

6 0

3 years ago

The graph of a proportional relationship passes through (12,16) and (1,y). find y

anastassius [24]

Answer:

4/3

Step-by-step explanation:

A proportional relationship is a relationship that crosses through the origin or (0,0). This means the slope of the line can be found by subtracting the points (12,16) and (0,0) in the slope formula.

$m = \frac{y_2-y_1}{x_2-x_1} =\frac{16-0}{12-0}= \frac{16}{12}=\frac{4}{3}$

So the slope is 4/3 and must be the value between any two points on the line.

This means the function moves from (0,0) to (1, 4/3).

4 0

4 years ago

The luxury Swiss Chalet hotel general manager (GM) reported to her owner that the hotel's Occupancy Index for the calendar year

SpyIntel [72]

Answer:

the Swiss Chalet had higher occupancy than its competitive set in 2019

Step-by-step explanation:

7 0

3 years ago

The cost of 5 squash and 2 zucchini is $1.32. Three squash and 1 zucchini cost $0.75. Find the cost of each vegetable.

jonny [76]

Answer:

The cost of 1 squash = $0. 18

The coat if 1 zucchini = $ 0.21

Step-by-step explanation:

Here,Let us assume the cost of 1 squash = $ m

Cost of 1 zucchini = $ n

Now, the cost of 5 squash = 5 x ( cost of 1 squash) = 5 x ($ m) = 5 m

Now, the cost of 2 zucchini = 2 x ( cost of 1 zucchini) = 2 x ($ n) = 2 n

So, the total cost of 5 squash and 2 zucchini = Cost of (5 squash + 2 zucchini)

⇒ $ 1. 32 = 5 m + 2 n ........ (1)

Similarly,

The cost of 3 squash = 3 x ( cost of 1 squash) = 3 x ($ m) = 3 m

And, the cost of 1 zucchini = $ n

So, the total cost of 3 squash and 1 zucchini = Cost of (3 squash + 1 zucchini)

⇒ $ 0. 75 = 3 m + n ........ (2)

or, n = 0.75 - 3 m

Substitute this value in (1) , we get

1. 32 = 5 m + 2 n ⇒ 1.32 = 5 m + 2 (0.75 - 3 m)

or, 1. 32 = 5 m + 2(0.75) - 2(3 m)

or, 1 . 32 = 5 m + 1.5 - 6m

⇒ m = 1. 5 - 1. 32 = 0.18

or, m = 0. 18

So, the cost of 1 squash = $0. 18

And,the cost of 1 zucchini = n = 0.75 - 3 m = 0.75 - 3 (0.18) = 0.21

or, the cost if 1 zucchini = $ 0.21

5 0

3 years ago

During one calendar year, a state trooper issued a total of 375 citations for warnings and speeding tickets. Of these, there wer

timama [110]

Answer:

169 Speeding Tickets, 206 Warnings.

Step-by-step explanation:

If there were 37 more warnings than tickets, then the first thing you want to do is remove that from the total by subtracting it: 375-37 = 338.

You then halve this to split them into tickets and warnings: 338/2 = 169.

Lastly, you add back the 37 more warnings, giving you 169 speeding tickets and 206 warnings.

6 0

3 years ago