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3 years ago

Which of the following is the missing justification?

Mathematics

2 answers:

Montano1993 [528]3 years ago

7 0

Answer:

B and C

2. B Multiplication property of equality

3. C Distributive Property

Step-by-step explanation:

1. Given

$\dfrac{1}{5}\cdot x+6=5$

2. Multiply this equation by 5:

$\left(\dfrac{1}{5}\cdot x+6\right)\cdot 5=5\cdot 5$

Multiplication property of equality

3. Use distributive property of equality:

$\dfrac{1}{5}\cdot x\cdot 5+6\cdot 5=25\\ \\x+30=25$

4. Subtract 30:

$x+30-30=25-30\\ \\x=-5$

Subtraction property of equality.

zavuch27 [327]3 years ago

7 0

Answer:

Actually the answer is C

Step-by-step explanation:

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(Constructed Response) Factor. 3x² - 4x - 7

tensa zangetsu [6.8K]

Answer:

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(x + 1) (3x - 7)

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3 years ago

Which sequence could be partially defined by the recursive formula f (n + 1) = f(n) + 2.5 for n ≥ 1?

Dimas [21]

Option C: –10, –7.5, –5, –2.5, … is the sequence.

Explanation:

The given recursive formula is $f(n+1)=f(n)+2.5$ for $n\geq 1$

We need to determine the sequence.

The sequence can be determined by substituting n = 1, 2, 3, 4,....

And $f(1)=-10$

2nd term of the sequence:

Substituting n = 1 in the formula $f(n+1)=f(n)+2.5$ , we get,

$f(1+1)=f(1)+2.5$

Simplifying, we have,

$f(2)=-10+2.5=-7.5$

Thus, the 2nd term of the sequence is -7.5

3rd term of the sequence:

Substituting n = 2 in the formula $f(n+1)=f(n)+2.5$ , we get,

$f(2+1)=f(2)+2.5$

Simplifying, we have,

$f(3)=-7.5+2.5=-5$

Thus, the 3rd term of the sequence is -5

4th term of the sequence:

Substituting n = 3 in the formula $f(n+1)=f(n)+2.5$ , we get,

$f(3+1)=f(3)+2.5$

Simplifying, we have,

$f(4)=-5+2.5=-2.5$

Thus, the 4th term of the sequence is -2.5

Therefore, the sequence is –10, –7.5, –5, –2.5, …

Hence, Option C is the correct answer.

3 0

3 years ago

Read 2 more answers

PLZ HELP ASAP RIGHT TRIANGLES

soldi70 [24.7K]

The correct answer is 45ft(along the ground)

Explanation:
It is making the right angled triangle as one half is 28 feet tall(vertically straight); the other half which fell over some distance is the hypotenuse. To find its length:

Hypotenuse = 81 - 28 = 53

Now that we have hypotenuse and the vertical length (perpendicular), we can find the base( along the ground) using Pythagoras theorem:

c^2 = a^2 + b^2

c = hypotenuse
a = perpendicular
b = base

53^2 = 28^2 + b^2
b = 45ft (along the ground)

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3 years ago

In a class of 27 students, 7 have a cat and 9 have a dog. There are 5 students who have a cat and a dog. What is the probability

Lelechka [254]

Answer: 5/7

Step-by-step explanation: 27 and 9 are both irrelevant numbers.

If we see here, it is given that they have a cat. 7 people have a cat! And because those 5 students who have both are listed under both categories, there are 5 students in the 7! Therefore, 5/7 is the desired probability...

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3 years ago

What is the slope of the line in the graph? answer fast help plzzz

ziro4ka [17]

The slope can be found by using the slope formula.

Slope = y2 - y1 / x2 - x1

First, we need two points on the line.

(-1, 0) and (0, 1)

x1 = -1 and y1 = 0

x2 = 0 and y2 = 1

Let's plug these values into our slope formula.

(1 - 0) / (0 - (-1)) = 1 / 1 = 1

The slope is 1

4 0

3 years ago