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3 years ago

Find the equation of the line specified. The line passes through the points

Mathematics

2 answers:

marishachu [46]3 years ago

7 0

Answer:

Step-by-step explanation:

substitute (2,1) and (5,4) into each equation

2-1=1 and 5-4=1 so c is correct

Pie3 years ago

7 0

C
1=2-1
1=1
4=5-1
4=4
Which mean they go through both points.

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Where is the function increasing? A) 1 < x < ∞ B) 3 < x < ∞ C) -∞ < x < 1 D) -∞ < x < 3

Vlad1618 [11]

Answer: I think its A

Step-by-step explanation:

4 0

3 years ago

Please answer correctly ASAP !!!!!! Will mark brainliest !!!!!!!!!

BigorU [14]

Answer:

X=3/2 and 2/3

Step-by-step explanation:

6x^2 - 13^x + 6= 0

6x^2 - 4x - 9x + 6=0

By factorising...

2x(3x - 2) - 3(3x - 2)=0

(2x - 3) (3x - 2)=0

2x - 3=0

2x=3

X=3/2

3x - 2=0

3x=2

X=2/3

Hence, X=3/2 and 2/3

7 0

3 years ago

Suppose the population of a town is 2,700 and is growing 4% each year. A. Write an equation to model the population growth. B. P

miss Akunina [59]

Answer:

Third option i.e. A. $2700(1.04)^x$ and B. About 4,323 people

Step-by-step explanation:

We are given that,

Initial population of the town = 2,700

The rate of growth = 4% = 0.04

Part A: Since, the equation for the growth is given by,

Population growth = $P(1+r)^x$ , where P is the initial population, r is the rate of growth and x is the time period of growth.

We have, according to the question,

Population growth = $2700(1+0.04)^x$

i.e. Population growth = $2700(1.04)^x$

Thus, the equation for the population growth is $2700(1.04)^x$ .

Part B: Now, it is required to find the population after 12 years i.e. x= 12.

So, we have,

Population = $2700(1.04)^x$

i.e. Population = $2700(1.04)^{12}$

i.e. Population = $2700\times 1.601032$

i.e. Population = 4,323

Hence, the population after 12 years is 4,323 people.

Thus, the third option is correct.

5 0

3 years ago

Read 2 more answers

A triangle can have sides whose lengths are 9cm, 16 cm, and

vodka [1.7K]

Answer: (B) 8 cm

Step-by-step explanation:

A triangle has 3 sides.

In order for it to be a triangle, the sum of sides a and b must be greater than the length of side c.

Testing (A) 7cm:

7 + 9 > 16

16 > 16

False

Testing (B) 8cm:

8+9 > 16

17 > 16

True

Testing (C) 25cm:

9 + 16 > 25

25 > 25

False

Testing (D) 26cm:

9 + 16 > 26

25 > 26

False

5 0

2 years ago

F(x)=x^2+9x-16 What is vertex Axis of semetry

UNO [17]

Answer:

axis of symmetry is $x=\frac{-9}{2}$ .

The ordered pair of the vertex is $(\frac{-9}{2},\frac{-145}{4})$ .

Step-by-step explanation:

Your function is a quadratic.

Compare $x^2+9x-16$ to $ax^2+bx+c$ .

You should see that $a=1,b=9,c=-16$ .

The x-coordinate of the vertex or the axis of symmetry since the axis symmetry goes through the vertex can be found by computing $\frac{-b}{2a}$ .

So here we go!

The axis of symmetry is $x=\frac{-9}{2(1)}=\frac{-9}{2}$ .

When you write your axis of symmetry be sure to write it as an equation.

That is the axis of symmetry is $x=\frac{-9}{2}$ .

Now that was also the x-coordinate of your vertex. To find the corresponding y-coordinate of the vertex, plug your value for $x$ into

$y=x^2+9x-16$ .

$y=(\frac{-9}{2})^2+9(\frac{-9}{2})-16$

Put into calculator:

$y=\frac{-145}{4}$ when $x=\frac{-9}{2}$

The ordered pair of the vertex is $(\frac{-9}{2},\frac{-145}{4})$ .

5 0

3 years ago

Read 2 more answers