If
f (x) = x^2 - 4
what is the average rate of change from x = 3 to x = 5?

Answer:

Step-by-step explanation: hope that helps

Answer:

x=2

Step-by-step explanation:

first we will distribute out everything

-2x +5 +4x+ 9 = 3(6 +4x)- 12x

(multiply 3 to both 6 and 4x)  

-2x +5 +4x+ 9= 18 +12x -12x

then combine like variables on both sides

(add -2x and 4x and add 5 and 9, for the other side add 12x and -12x)

2x+14= 18  

then isolate x

2x=4

x=2

and substitute x for 2 to double check

-2(2)+5+4(2)+9=3(6+4(2))-12(2)

18=18

therefore 2 is correct

________________________________

Here, Distance covered by Lucas on Saturday

= 4x – 5 miles

Now, Distance covered by Lucas on Sunday

= 3x – 10 miles

________________________________

Hence, Difference between the distances

would be / –

Distance covered on Saturday – Distance covered on Sunday

= (4x – 5) – (3x – 10)

= 4x – 5 – 3x + 10

[ Because (– * + = – ) And ( – * – = +) ]

= 4x – 3x + 10 – 5

= 1x – 5

= x – 5 ( – Ans )

Hence, The difference between Distance covered ( In miles ) is ( x – 5 ) .

________________________________

Answer:

[tex]x < - 9[/tex]

Step-by-step explanation:

We can only find the range of the values of x by using triangle inequality,

[tex]x + 1 + x > 3x + 10 \\ \\ 1 - 10 > 3x - 2x \\ \\ - 9 > x[/tex]

Multiply through both sides by -1, we get,

[tex]x < - 9[/tex]

This means x = -10, -11, ... (which is not realistic because a side of a triangle cannot be a negative number)

Answer:

[tex]Line\ 1 = 120\ units[/tex]

[tex]Line\ 2 = 240\ units[/tex]

Step-by-step explanation:

Given

[tex]Line\ 1 = 120\ units[/tex]

[tex]Line\ 2 = 240\ units[/tex]

Transformation

Rotation: 90 degrees

Translation: 50 units up

Required

The new length of one of the lines

Since no options were given, I will solve for the lengths of the two lines

From the question, the transformations are rotation and translation. These two types of translation do not alter the length or angle of a shape.

This implies that both lines will still retain their original lengths.

So. we can conclude that, after the transformation

[tex]Line\ 1 = 120\ units[/tex]

[tex]Line\ 2 = 240\ units[/tex]

Answer:

527.5 sq. meters.

Step-by-step explanation:

I got it right on a test.

Answer:

527.5

Step-by-step explanation:

Answer:

$2.90 %Step-by-step explanation:

because if you round it it would be close to 90 and if you mutiply 2 x 2 =4 x 89

Answer:

Isn't 20x5=100

Step-by-step explanation:

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{\dfrac{5}{4}\times 20}[/tex]

[tex]\large\text{New equation: }\mathsf{\dfrac{5}{4}\times\dfrac{20}{1}}\\\\\mathsf{5\times20=\bf 100}\\\\\mathsf{4\times1=\bf 4}\\\\\mathsf{\dfrac{100}{4}=\bf 25}\\\\\\\boxed{\boxed{\bf 25}}[/tex]

[tex]\mathsf{\dfrac{5\times20}{4}}\\\\\mathsf{5\times20=\bf 100}\\\\\mathsf{\dfrac{\bf 100}{4}=\bf \underline{25}}\\\\\boxed{\boxed{\bf 25}}[/tex]

[tex]\boxed{\large\text{Answer: \bf 25 = 25}}}\large\checkmark[/tex]

[tex]\boxed{\boxed{\huge\text{Overall answer: \bf 25}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

1 and 2 is and 3 is not

Step-by-step explanation:

Answer:

Of members(2) and of phone conversation (1) cuz they had two people and you had to call 1 at a time ☺

Answer:

a) 34.64 inches

b) The TV will not fit inside the TV cabinet

Step-by-step explanation:

Angharad is buying a new 40-inch screen TV (remember that TV screens are measured along the diagonal )

a)If it is 20 inches tall, how wide is the screen ?

We solve using the formula:

Diagonal ² = Width² + Height²

Diagonal = 40 inches

Height = 20 inches

40² = Width² + 20²

Width² = 40² - 20²

Width = √40² - 20²

Width = √(1200)

Width = 34.641016151 inches

Approximately = 34.64 inches

b)Her TV cabinet is 30 inches wide .will the TV fit inside it ?

From the above calculation, the width of the TV = 34.64 inches

Hence the width of the cabinet has to be equal to or more than 34.64 inches

Hence, The TV will not fit inside the TV cabinet

Answer: (If I'm right can I get marked brainiest?)

100

2

+

50

2

=

12500

;  

√

12500

=

111.80

yards

Step-by-step explanation:

A football field is a rectangle, so a diagonal line creates 2 right triangles. The formula for the length of the sides of a right triangle is  

a

2

+

b

2

=

c

2

For this problem, we know  

a

and  

b

, so we just have to find  

c

.

100

2

+

50

2

=

c

2

=

12500

The length of the diagonal is  

√

12500

, which is 111.80 yards.

The possible dimensions of the sports field are width 70 yards, length 7-3x yards.

Dimensions in mathematics are the measure of the size or distance of an object or region or space in one direction.

Given that, the width is at least 50 yards and area is (490-210x)

We can conclude the shape of the sports field is rectangular.

We need to find the Greatest Common factor between 490 and 210, this way:

490 = 2 × 5 × 7 × 7

210 = 2 × 5 × 3 × 7

Then the greatest common factor is 2 × 5 × 7 = 70

This GCF is also equal to 70 yards (given in option), therefore it's one of the dimensions of the sports field.

Now, we calculate the other side of the sports, this way:

Second dimension of the sports field = (490-210x)/70

= 7-3x

Hence, The possible dimensions of the sports field are width 70 yards, length 7-3x yards.

For more references on dimensions, click;

https://brainly.com/question/28688567

#SPJ2

Answer:

a,d,e,f

Step-by-step explanation:

Answer:

7/20

Step-by-step explanation:

Answer:7/10

Step-by-step explanation:

Here is the way that I think is the simplest method of changing a percentage a fraction. This percentage has two digits in it, so put it over a 1 and two zeros and then simplify. 35/100 is simplified to 7/20.

Answer:

11/12

Hope this helps!!!!

Answer:

c

Step-by-step explanation:

Answer:

The perimeter of the quadrilateral ABCD is 20 units.

As, There are 4 angles in the quadrilateral.None of the 3 above options are the perimeter.

Answer:

C

Step-by-step explanation:

7/9 x 6 = 4u 6/9

simpify it and you get 4u2/3

hope thus helps :)

Answer: A. yes, because the volume of the prism is less than 400 cubic inches

Answer:

D

Step-by-step explanation:

Wrapping paper goes around the box, rather than filling the content of the box. So SA is what we are looking for

2(13x5 + 13x8 + 5x8) = 418 > 400

So 400 does not suffice, you would need 18 more

Answer:

i think 6 hours so sry if i am wrong good luck

Step-by-step explanation:

Answer:

oh yeah baby there u go

Step-by-step explanation:

AND DO IT LIKE THAT IN FUTURE WITH UR GARDE LIKE 10TH GRADE HELP!

HERES UR ANSWER

it was childs play lol

Answer:

1 over 3

Step-by-step explanation:

Rise over run

it rises one

it runs 3

Answer:

x=12

Step-by-step explanation:

Before starting this question, you need to know that the total degree of any given triangle is 180 degrees.

Now looking at the question, we know one side is 90 degree since it is a right triangle.

180-90=90

This let us know that the remaining two angles will have to add up to equal to 90 degrees.

2x+1+5x+5=90

First, combine like terms.

7x+6=90

Now we have to get x by itself, subtract 6 on both sides then divide by 7.

7x=84

x=12

Answer:

(75+88+92+94+71+x)/6=85 x 1,21

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

20% of $20 is $4