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mr_godi [17]
2 years ago
11

Given a+b=7 and a-b=3, find the following 3^a÷3^b

Mathematics
1 answer:
gulaghasi [49]2 years ago
3 0

Answer:

27

Step-by-step explanation:

a + b = 7

a - b = 3

2a = 10

a = 5

b = 7 - 5

b = 2

3⁵ / 3² = 3³ using law of indices

3³ = 27.

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The description below represents Function A and the table represents Function B:
Monica [59]

Answer:

D is correct

Step-by-step explanation:

<em>Step 1 : Find equation of function A in y = mx + c</em>

2 more than 5 times x

f(x) = 2 + 5x or y = 5x + 2

<em>Step 2 : Identify slope and y-intercept of function A</em>

y = mx + c

y = 2 + 5x

Slope = m = 5

Y-intercept = c = 2

<em>Step 3 : Find the equation of function B in y = mx + c</em>

From my understanding, the number given in the question are coordinates

(-1, 2) , (0, 5) , (1, 8)

Slope = y2-y1/x2-x1

Lets take two coordinates : (-1, 2) , (0, 5)

Slope = 5-2/0-(-1)

Slope = 3/1 = 3

For y-intercept

Lets take (1, 8)

y = mx + c

8 = 3(1) + c

c = 5

The equation is f(x) = 3x + 5 or y = 3x + 5

<em>Step 4 : Lets write both equations with their slope and y-intercept and check with the statements</em>

y = 5x + 2

y = 3x + 5

A) Their slopes are equal but y-intercepts are not equal. Incorrect

B) Their slopes are not equal but y-intercepts are equal. Incorrect

C) Both slopes and y-intercepts are equal. Incorrect

D) Neither slopes nor y-intercepts are equal. Correct

!!

3 0
3 years ago
20÷2 (5+5)= what is the answer and breakdown?
Makovka662 [10]
20 divided by 2 = 10 x (5 + 5) = 10 x 10 = 100
5 0
3 years ago
Please help Which soap deal has the lowest price per ounce?
neonofarm [45]
The answer will be price per ounce.

This means price/ounce.

For example (not the answer):
A) $3.45 / 3.5oz = 0.99 dollars per oz
7 0
3 years ago
What is 77543 rounded to the nearest hundred
andreyandreev [35.5K]
<h3>Answer:</h3>

77500

<h3>Step-by-step explanation:</h3>

In this case, the digit in the hundredths place is a 5.  We need to take a look at the next digit to the right, which is a 4.

Since it is 4 or less, we can simply replace the 4 and the rest of the digits to the right with 0s to round it.

If the 4 was 5 or more, we would round the 5 up to 6 and replace the remaining digits to the right with 0s.

6 0
3 years ago
Read 2 more answers
Select the polynomial that is a perfect square trinomial.
alexdok [17]

Answer:

Option D. It's a perfect square trinomial.

Step-by-step explanation:

(a) 36x² - 4x + 16

= (6x)² - 2(2x) + (4)²

It's not a perfect square trinomial

(b) 16x² - 8x + 36

= (4x)² - 2x(4x) + (6)²

It's not a perfect square trinomial

(c) 25x² + 9x + 4

= (5x)² + 2(\frac{9}{2}x) + (2)²

It's not a perfect square trinomial

(d) 4x² + 20x + 25

= (2x)² + 2(10x) + (5)²

= (2x+5)²

It's a perfect square trinomial.

8 0
3 years ago
Read 2 more answers
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