Graph. f(x)=2∣∣x+2∣∣+1 Use the Ray tool to graph the absolute value function.

Jordan received 30 text messages from his friends and 18 text messages from his parents. Write the radio that compares the numbe

maksim [4K]

Answer:

The answer is 5:3 if I'm correct

6 0

3 years ago

Is sarah faster than Katie? and what is the average rate?

slamgirl [31]

Step-by-step explanation:

here's the solution: -

Average time taken by sarah :

=》

$\frac{79 + 70 + 68 + 75 + 69 + 64 + 69 + 75 + 64 + 76}{10}$

=》

$\frac{709}{10}$

=》

$70.9$

average time taken by sarah = 70.9 seconds

now,

average time taken by katie :

=》

$\frac{ 79 + 79 + 76 + 81 + 89 + 76 + 64 + 85 + 82 + 78}{10}$

=》

$\frac{789}{10}$

=》

$78.9$

average time taken by katie = 78.9 seconds

so, sarah is more efficient (faster) than katie.

i agree with sarah.

cuz, she took less time than katie.

7 0

3 years ago

Read 2 more answers

The length of a rectangle is 5 meters less than twice the width. If the area of the rectangle is 273 meters, find the dimensions

AleksandrR [38]

The length of the rectangle = 16 meters

The width of the rectangle = 10.5 meters

Step-by-step explanation:

Given that,

The Area of the rectangle is 273.

Step 1 :

Let, the width of the rectangle be 'x'

The length of the rectangle is 2x - 5

Step 2 :

Area of the rectangle = length $\times$ width

273 = (2x - 5) x

273 = 2x^2 - 5x

Step 3 :

The equation formed is 2x^2 - 5x -273 = 0

a= coefficient of x^2 = 2

b= coefficient of x = -5

c = constant = -273

Find the roots of the equation, to find the width.

Step 4 :

Find the roots using factorizing method,

ac = 2 $\times$ -273 = -546 and b= -5

Factorizing -546 as -26 $\times$ 21

The product of -26 $\times$ 21 = -546

The sum of -26 + 21 = -5

Step 5 :

The roots of the equation 2x^2 - 5x -273 = 0 are x= -26/2 and x= 21/2

The values of x are x= -13 and x= 10.5

Since the width cannot be a negative value, neglect x= -13

Step 6 :

Therefore,

The width of the rectangle = 10.5 meters

The length of the rectangle = 2x-5

= 2(10.5) - 5

= 21 - 5

length = 16 meters

5 0

3 years ago

A shelf is built on a wall, as shown below. What is the value of x? (2x+1) + (3x-1)

Hoochie [10]

Answer:

x = 18

Step-by-step explanation:

We need to find the value of x.

We know that the sum of angles of a triangle is equal to 180°. So, using this property,

2x+1+3x-1+90 = 180

2x+3x = 180-90

5x = 90

x = 18

So, the value of x is equal to 18.

6 0

3 years ago

0.9 of Karen's Science score is equal to 0.75 of her Math score and 0.8 of her Chemistry score. Given that Karen scored 96 marks

DochEvi [55]

You have to formulate equations for this problem.

Let S = Science score

M = Math score

C = Chemistry score

To illustrate the given:

0.9S = 0.75M

0.9S = 0.8C

You are given that Karen’s Math score is 96 marks. You have to substitute the Math score to the first equation.

0.9S = 0.75(96)

0.9S = 72

S = 80

Therefore, Karen’s Science score is 80. Now, you have to substitute the Science score to the second equation.

0.9(80) = 0.8C

0.8C = 72

C = 90

So, Karen’s Chemistry score is 90.

Therefore, the total score of the 3 subjects is 266 (96 + 80 + 90).

5 0

4 years ago