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3 years ago

The coefficient of -2x is Blank 1:

Mathematics

1 answer:

Scorpion4ik [409]3 years ago

8 0

Answer:

-2

Step-by-step explanation:

Definition of coefficient: a numerical or constant quantity placed before and multiplying the variable in an algebraic expression

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Which one is the greater fraction 1/2 or 19/56

vazorg [7]

1/2 is the greater fraction

5 0

3 years ago

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What is the average rate of change for ƒ(x) = −3x + 79 over the interval 2 ≤ x ≤ 4?

Ainat [17]

Answer:

The average rate of change is -3.

Step-by-step explanation:

Given : Function $f(x)=-3x+79$ over the interval 2 ≤ x ≤ 4.

To find : What is the average rate of change ?

Solution :

Function $f(x)=-3x+79$ over [2,4]

The rate of change is the slope of the line,

So, $\text{Rate of change}=\frac{f(4)-f(2)}{4-2}$

$f(4)=-3(4)+79$

$f(4)=-12+79$

$f(4)=67$

$f(2)=-3(2)+79$

$f(2)=-6+79$

$f(2)=73$

Substitute,

$\text{Rate of change}=\frac{67-73}{4-2}$

$\text{Rate of change}=\frac{-6}{2}$

$\text{Rate of change}=-3$

Therefore, The average rate of change is -3.

8 0

3 years ago

Read 2 more answers

Alvin's age is two times Elga's age. The sum of their ages is 63. What is Elga's age?

lawyer [7]

Answer: Alvin = 42 yrs , Elga = 21 yrs

Step-by-step explanation:

Let Elga's age be x , and Alvin's age be y ,since Alvin is two times Elga's age , then

Alvin's age = 2x , that is

y = 2x ............... equation 1

The sum of their ages is 63 implies

x + y = 63 .............. equation 2

Solving the resulting linear equations by substitution method.

Substitute equation 1 into equation 2 , we have

x + 2x = 63

3x = 63

x = 63/3

x = 21

Therefore : Elga is 21 years old , then Alvin will be 21 x 2, which will be 42

8 0

3 years ago

Find the limit if it exists lim x→0 sqrtx+7-sqrt7 over x

Triss [41]

Answer:

$\frac{1}{ 2\sqrt{7} }$

Step-by-step explanation:

$\lim_{x\to 0} \frac{ \sqrt{x + 7} - \sqrt{7} }{x} \\ \\ = \lim_{x\to 0} \frac{( \sqrt{x + 7} - \sqrt{7}) }{x} \times \frac{( \sqrt{x + 7} + \sqrt{7}) }{( \sqrt{x + 7} + \sqrt{7}) } \\ \\ = \lim_{x\to 0} \frac{( \sqrt{x + 7} )^{2} - (\sqrt{7})^{2} }{x( \sqrt{x + 7} + \sqrt{7})} \\ \\ = \lim_{x\to 0} \frac{( {x + 7} - {7}) }{x( \sqrt{x + 7} + \sqrt{7})} \\ \\ = \lim_{x\to 0} \frac{ {\cancel x}}{\cancel x( \sqrt{x + 7} + \sqrt{7})} \\ \\ = \lim_{x\to 0} \frac{ {1}}{\sqrt{x + 7} + \sqrt{7}} \\ \\ = \frac{1}{ \sqrt{0 + 7} + \sqrt{7} } \\ \\ = \frac{1}{ \sqrt{7} + \sqrt{7} } \\ \\ = \frac{1}{ 2\sqrt{7} }$

6 0

3 years ago

I don’t know how to do this, please explain :(

IrinaK [193]

Answer:

1. Adjacent and formed a linear pair

2. Adjacent and formed a linear pair

3. Adjacent

4. Not adjacent

Step-by-step explanation:

In essence, adjacent angles are two angles side by side. Two adjacent angles can form a linear pair when they are created by two lines intersecting. So, in broad terms, they are adjacent on a flat plane (or a straight line), and together they make a 180° angle.

3 0

3 years ago