Mr.ford drove 224 miles in 4 hours. At what rate of speed did he drive?

The range of the function  g(x) = |x + 2|– 1 is (-1,∞) and domain of the function is (-∞,∞).

A function's range is the set of all values that the function accepts, and its domain is the set of all values for which the function is defined.

The domain is for the independent variable while the range is for the dependent variable.

For example f(x) = x²

Now if we put x = 1 then it is called as domain variable while the value of function at x = 1 its that f(1) = 1 called range variable.

Given the function  g(x) = |x + 2|– 1

The minimum value of the function

At x = -2 ⇒ |-2+ 2|– 1 = -1

The maximum value of the function

At x = ∞ ⇒ |∞+ 2|– 1 = ∞

So,

The range will be (-1, ∞)

Now,

We can put x as -∞ and ∞ so the domain will be (-∞,∞).

Hence "The range of the function  g(x) = |x + 2|– 1 is (-1,∞) and domain of the function is (-∞,∞)".

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Answer: 8 inches

Step-by-step explanation:

224/3.5 = 64

8*8=64

8in * 8in * 3.5In = 224 cubic inches

Answer:

not proportional

Step-by-step explanation:

We can check using cross products

18/73  = 4/16

18*16 = 73*4

288=292

Since this is not equal, this is not proportional

Answer:

brainliest is appreciated

Answer:

3x+4

Step-by-step explanation:

f(x) = - x+4

Substitute in x=-3x

f(-3x)= - (-3x) + 4 = 3x+4

Answer:

[tex]y = - 2x - 4[/tex]

Step-by-step explanation:

Slope intercept eqn:

[tex]y - y1 = m(x - x1)[/tex]

P = (-4,4) and Q = (-3,2)

Let (x1, y1) = (-4,4) and (x2, y2) = (-3,2).

[tex]m = \frac{y2 - y1}{x2 - x1} = \frac{ 2 - 4}{ - 3 - ( - 4)} = \frac{ - 2}{1} = - 2[/tex]

Therefore the equation of the line in slope-intercept form :

[tex]y - 4 = - 2(x - ( - 4)) \\ y - 4 = - 2(x + 4) \\ y - 4 = - 2x - 8 \\ y = - 2x - 8 + 4 \\ y = - 2x - 4[/tex]

Step-by-step explanation:

Notice the two horinzontal lines. They are parallel lines as they will never cross each other.

Notice the slant line. That is called a transversal as it crosses through both the parallel lines.

The transversal split the parallel lines into multiple angles.

Look at Angle X and the angle on the upper right. They are vertical angles because they are formed by intersecting lines so they are equal to each other

Look at Angle X and the angle that is on the right of Angle 70, they are alternate interior angles as they are formed by the transversal crossing through the two parallel lines. They are equal to each other. They form a Z if you connect a them.

The upper right angle and bottom left angle are alternate exterior angles. They are formed by the transversal. They are equal to each other. They form a semi circle of you connect them.

The bottom left angle and Angle X are Corresponding Angles. They form a C shape if you connect them. They are formed by the transversal and are congruent to each other.

Angle X and 70 are same side consecutive angles. They are right next to each other on the same side of each other. They are supplementary. which means they form 180 degrees when added.

so using this info,

[tex]x + 70 = 180[/tex]

[tex] x = 110[/tex]

Answer:

the value of X is 3 and y is 6 .

Answer:

Step-by-step explanation:0.3

Answer:

There was 9 oranges and 12 apples in the original basket

Step-by-step explanation:

3:4

9:12

subract 6 oranges and add 6 apples

3:18

divide by 6

1:6

Answer:

139,999

Step-by-step explanation:

If the digit sum of n is divisible by 5, the digit sum of n+1 can't physically be divisble by 5, unless we utilise 9's at the end, this way whenever we take a number in the tens (i.e. 19), the n+1 will be 1 off being divisble, so if we take a number in the hundreds, (109, remember it must have as many 9's at the end as possible) the n+1 will be 2 off being divisble, so continuing this into the thousands being three, tenthousands being 4, the hundred thousands will be 5 off (or also divisble by 5). So if we stick a 1 in the beginning (for the lowest value), and fill the last digits with 9's, we by process of elimination realise that the tenthousands digit must be 3 such that the digit sum is divisible by 5, therefore we get 139,999

Notice that a number is only divisible by 5 if it ends in 5 or 0.

Only using this, we will find that the number is 49,999

Suppose we wanted the sum of the digits to end in 5, then we could have something like:

23

2 + 3 = 5

if we add 1, we get:

23 + 1 = 24

2 + 4 = 6

This will happen always.

instead, if we use a 0 as the last digit of the sum, we get:

For example, the simplest one:

19

we have:

1 + 9 = 10

10 is divisible by 5.

if we add 1, we get:

19 + 1 = 20

2 + 0 = 2

2 is not divisible by 5.

We have a  problem again, but this time you can see that the whole structure of the number does change. So we should keep trying with ones and nines.

Now we need to modify our number to the point we get n + 1 to be divisible by 5.

if we add a 9 to the right side of our number, we get:

199

1 + 9 + 9 = 19

clearly, not divisible by 5.

Here we need to add a 1 at the left side to make it divisible by one, so we get:

1199

1 + 9 + 1 + 9 = 20

this is divisible by 5.

now let's add 1:

1,199 + 1 = 1,200

1 + 2 = 3

3 is not divisible by 5.

Now, if you look at the two numbers we used, we can see that:

for 19, the sum of the digits + 1 gave us a 2.

for 1,199, the sum of the digits +1 gave us a 3.

then just let's add two ones and two nines.

We will get:

11,119,999

adding the digits:

1 + 1 + 1 + 1 + 9 +9 +9 +9 = 40

is divisible by 5.

Adding one to our number, we can get:

11,119,999 + 1= 11,120,000

Adding the digits:

1 + 1 + 1 + 2 + 0 + 0+ 0+ 0 = 5

divisible by 5.

Now, we can group the ones together, so instead of the number 11,119,999

we can have 49,999, which is way smaller.

Adding the digits, we get:

4 + 9 + 9 + 9 + 9 = 40

And adding one to our number, we get:

49,999 + 1 = 50,000

Adding the digits:

5 + 0 + 0 +0 + 0 = 5

So we found the smallest number n such that the sum of the digits of n is divisible by 5, and the sum of the digits of n + 1 is also divisible by 5.

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Answer:

13

Step-by-step explanation:

expression =|2b-3y| +5z

Subtitute all values in expression:

=|2(-3)-3(4)| +5(-1)

=|-6-12| -5

=|-18|-5

=18-5

=13

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Answer.

20 km.

Hope that helps...

Answer:

x = 8

Step-by-step explanation:

-4 + 8x = 6x + 12

Subtract 6x from both sides

-4 + 2x = 12

add 4 to both sides

2x = 16

x = 8

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Answer:

B

Step-by-step explanation:

22/7 X 14 squared

--------------------------------  =308

           2

406-308= 98cm ^2

Answer: false

Step-by-step explanation:

Since it is a circle, when you draw the line it will meet at two points which fails the vertical line test. In order to pass the vertical line test it must only meet at one point.

Answer:

705.92

Step-by-step explanation:

hope it's help

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Answer:

S = n(a1 + an)/2

2S = n(a1 + an)

2S = na1 + nan

nan = 2S - na1

an = (2S - n a1)/n

Step-by-step explanation:

hope it's right

Answer:

[tex] {a}^{2} + {b}^{2} \\ a = 3 \\ b = 4 \\ {3}^{2} + {4}^{2} \\ = 9 + 16 \\ = 25 \\ thnk \: you[/tex]

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

I take it that what you are asking is which one of the three choices gives f(5) = 2.

It is not the table. When you try adding 5 in the x column, you get a much larger result than 2 for y.

And it is not the scattered points of the graph. x = 5 gives 5 on the y axis, not 2.

It is the first choice on the left.

f(5) = x - 3

f(5) = 5 - 3

f(5) = 2

Answer:

z = 3

Step-by-step explanation:

4 (z + 5) = 32

4z + 20 = 32

4z = 12

z = 3

The solution is: the value of z is : z = 3, when 4 (z + 5) = 32 is solve for z.

Here, we have,

given that,

the expression is: 4 (z + 5) = 32.

now, we have to solve it for z, to get the value of z.

so, we have,

4 (z + 5) = 32

4z + 20 = 32

4z = 12

z = 3

so, simplifying we get, the value of z is : z = 3.

Hence, The solution is: the value of z is : z = 3, when 4 (z + 5) = 32 is solve for z.

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Answer:

Step-by-step explanation:

I guess you mean √13.

3^2 = 9 and 4^2 = 16 so the square roots is between 3 and 4.

3.5^2 =  3*4 + 0.25 = 12.25 so it looks like its about 3.6.

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

2x + 5y = - 10 ( subtract 2x from both sides )

5y = - 2x - 10 ( divide the terms by 5 )

y = - [tex]\frac{2}{5}[/tex] x - 2 ← in slope- intercept form

with slope m = - [tex]\frac{2}{5}[/tex] and y- intercept c = - 2

Answer:

(3x2-7x)-(4x2+6x)= −x^2−13x

Step-by-step explanation:

(3x2-7x)-(4x2+6x)

Distribute the Negative Sign:

=3x^2−7x+−1(4x^2+6x)

=3x^2+−7x+−1(4x^2)+−1(6x)

=3x^2+−7x+−4x^2+−6x

Combine Like Terms:

=3x^2+−7x+−4x^2+−6x

=(3x^2+−4x^2)+(−7x+−6x)

=−x^2+−13x

Not sure if this is what you wanted. Sorry if this is what you weren't looking for.