Finding the x intercepts and the vertex of a parabola

I need help! I don't really understand.... Can someone help for these 2 questions?? Part A and B??

vfiekz [6]

Answer:

A. 6x + 4

B. 22 cm

Step-by-step explanation:

The perimeter of the triangle is equal to the sum of all the side lengths, which is (2x+3) + (x+1) + (3x), or 6x + 4.

When x = 3cm, the perimeter is 6(3) + 4, which is 22 cm.

8 0

3 years ago

Simplify -5(-5-2+2)-[(3-4) multiplied by 2]

Step2247 [10]

The first step to solving this is to eliminate the opposites.
-5 × (-5) - ((3 - 4) × 2)
Calculate the difference from the expression in the parenthesis.
-5 × (-5) - (-1 × 2)
Multiply the numbers on the left side of the expression
25 - (-1 × 2)
Any expression multiplied by -1 equals the opposite,, which will change the expression to the following:
25 - (-2)
When there is a "-" sign in front of the parenthesis,, you must change the sign of each term in the parenthesis. This rule will make the expression look like the following:
25 + 2
Finally,, add the numbers together to get your final answer.
27
This means that the correct answer to your expression is 27.
Let me know if you have any further questions
:)

4 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

Which of the following is a rational number?

Klio2033 [76]

Answer:

√25

Step-by-step explanation:

√25 = √(5²) = 5 . . . . a rational number

The other roots are not the roots of perfect squares, so are irrational.

5 0

3 years ago

(PICTURE) Im really struggling with questions like these at the moment, if you could please help me out thank you

belka [17]

Answer:

Arthur should select the Mount Joy Pool when there are less than 10 people at the party

Step-by-step explanation:

The initial fee to rent the Woodbridge Pool = $50

The additional fee per person after renting = $5

The initial fee to rent at Mount Joy Pool = 0 (no initial fee)

The fee per person at Mount Joy Pool = $10

The equation of a straight line is y = m·x + c

Ley y represent the total cost of renting the pool, x, represent the number of persons in the pool, m represent the fee per person and c represent the initial charges, we get;

The total cost of renting Woodbridge Pool, y = 5·x + 50

The total cost of renting the Joy Pool, y = 10·x

Equating both values of y gives;

5·x + 50 = 10·x

∴ 5·x = 50

x = 50/5 = 10

x = 10

From the above equations, the cost of renting the pool is lower for the Joy Pool when there are less than 10 persons at the pool

It will cost the same amount to rent the pool when the number of persons in the pool are 10 persons and the cost of renting the Mount Joy Pool will be more than the cost of renting the Woodbridge Pool, when there are more than 10 persons

Therefore, Arthur should select the Mount Joy Pool when there are less than 10 people at the party.

6 0

3 years ago