Determine if the set of ordered pairs is a relation or function.

Answer:

L=5

w=3

Step-by-step explanation:

Length = 3x+4

2L+2W=16

plug in 3x+4 into L

2(3x+4)+2x=16

6x-8+2x=16

6x+2x=16+8

then just do basic algebra

8x=24

divide 24/8

x=3 is the width

5 is the length

L=5

w=3

Answer:

f(-1) = 8

Step-by-step explanation:

Step 1: Define

f(x) = -6x + 2

f(-1) is x = -1

Step 2: Substitute and Evaluate

f(-1) = -6(-1) + 2

f(-1) = 6 + 2

f(-1) = 8

Answer:

8

Step-by-step explanation:

Substitute -1 for x

-6(-1) + 2

Simplify

6+2

Simplify

8

So the first graph is Radical/Irrational Graph and the second is Parabola/Quadratic Graph.

You can find the domain by looking at the x-axis and for the range, look at the y-axis. That means all of x-axis is the domain and all of y-axis is the range.

From the first graph, the domain is from -2 to +infinite. But because there's a colored dot, it's either ≥ or ≤.

But because -2 is less than + infinite, we use ≤ instead. Thus, x ≥ -2

Remember that x-values can't be equal to infinite. So we use < instead since there's no x-values that are equal to ∞.

Or we can write in interval notation as [-2,+∞) for symbol "[ or ]" is equal to ≤ or ≥ and ") or (" is equal to > or <

Again, the domain for the first graph is x ≥ -2 or x ∈ [-2, +∞)

And the range, look at the y-axis. Because we can substitute x from -2 to less than ∞, that means the range is from -1 because when x = -2 then x = -1 to + infinite.

Therefore, the range is y ≥ -1 or y ∈ [-1, +∞)

Now for the second graph. Look at the x-axis to find the domain. We notice that the colored dot is at x = -3 and the one with white dot is at x =2. The one without the color or white dot is > or < while the colored one is ≥ or ≤.

So the domain is -3 ≤ x < 2 or x ∈ [-3, 2)

For range, look at the y-axis. Notice that the colored dot is at y = -5 and the maximum point is at y =4. The y =4 is still in the domain so the range still applies to the maximum point.

Therefore the range is -5 ≤ y ≤ 4 or y ∈ [-5, 4]

Answer:

x < -7

Step-by-step explanation:

treat is like a normal equation when solving, solve using inverse operations

4x - 7 < -35

    +7     +7

4x < -28

/4    /4

x < -7

Answer: 16

Step-by-step explanation: The angles are equal so x+24 = 3x-8

slope = (y2-y1)/(x1-x2)

=(20-8)/(2-1)

=12/1

m = 12

The slope of the given function is 12.

Slope or the gradient is the number or the ratio which determines the direction or the steepness of the line.

In this case, we are given three points:

Point 1: (x = 1, y = 8)

Point 2: (x = 2, y = 20)

Point 3: (x = 3, y = 32)

The slope of the function is calculated by the formula given as;

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Slope =(20-8)/(2-1)

=12/1

Slope  = 12

The slope is 12.

To know more about slopes ;

brainly.com/question/3493733

#SPJ6

Answer:

k = 45*

2k = 90*

Step-by-step explanation:

K will be the same as the 45* degrees, as it is across from it.

2k is twice k, which is 90*.

45* + 45* + 90* = 180*

Good luck!

Answer:

It will be 3 :)

Step-by-step explanation:

Try using desmos calculator when it comes to math ;)

Answer:

x = 33

Step-by-step explanation:

The sum of a quadrilateral adds up to 360°.

Step 1: Set up equation

98 + 98 + 98 + 2x = 360

Step 2: Solve for x

Answer:

The total length of the string is 7.85 feet and  the center should be 2.236 feet far the string be nailed into the base

Step-by-step explanation:

Circumference of ellipse = [tex]\pi(a+b)[/tex]

Circumference of semi-ellipse = [tex]\frac{\pi(a+b)}{2}[/tex]

we are given that The opening is to have a height of 2 feet at the center and a width of 6 feet along the base.

So, [tex]a = \frac{6}{2}=3 , b = 2[/tex]

Circumference of semi-ellipse =[tex]\frac{3.14(3+2)}{2}=7.85 feet[/tex]

Distance from center =[tex]\sqrt{a^2-b^2}=\sqrt{3^2-2^2}=2.236 feet[/tex]

Hence the total length of the string is 7.85 feet and  the center should be 2.236 feet far the string be nailed into the base

Answer:

-1

Step-by-step explanation:

The slope goes down 1 as it goes over (to the right) 1

Answer:

-1 would be the slope.

Step-by-step explanation:

Using rise over run, the slope would be -1.

Answer:

310

Step-by-step explanation:

Answer: 310

Step-by-step explanation: 2% equals 10, so just keep counting up until you get 62%.

Hopefully this helped! :D

x= 90° - 63° = 27° (NO perpendicular to AOB)

angle DOB = (90°+90°) -128° (angles on a straight line)

= 180° - 128°

= 52°

y= 180° - x - 63° - angle DOB (angles on a straight line)

=180° - 27° - 63° - 52°

= 38°

I'm not sure of the answer tho^^ good luck!

Answer:

The answer to that problem would be 116 degrees.

Step-by-step explanation:

Since Angles JKM and MKL are adjacent angles, they add up to the measure of Angle JKL. To figure out the angle measure of JKM, you subtract 39 (the measure Angle MKL) from 155 (the measure of JKL). Hopefully, this helps :).

Answer:

75.

Step-by-step explanation:

r = 15

r = 1/5 of x

15*5=75

x = 75

Answer:

Divide both sides by 4

Step-by-step explanation:

Answer:

i just took the test and it was divide by 4 sides

Step-by-step explanation:

Answer:

6 and 7

Step-by-step explanation:

The square root of 41 is about 6.403

6 and 7 are the closest whole numbers

Answer:$68.43

Step-by-step explanation:

Answer:

y = -2x + 27

Step-by-step explanation:

Firstly, we shall need to reform the given line equation;

y-7 = 1/2 ( x + 2)

y - 7 = x/2 + 1

y = x/2 + 1 + 8

y = x/2 + 8

Comparing this with y = mx + c

where m is the slope, then the slope of the line is 1/2

Since the line we are looking for has a slope perpendicular to this line, it means that the product of their slopes is -1

m1 * m2 = -1

1/2 * m2 = -1

m2 = -2

So we want an equation with slope -2 passing through (6,15)

we use the point slope method here;

y-y1 = m(x-x1)

y-15 = -2(x-6)

y-15 = -2x + 12

y= -2x + 12 + 15

y = -2x + 27

=============================================

Work Shown:

g(x) = x-7

g(3) = 3-7 .... replace every x with 3

g(3) = -4

f(g(3)) = f(-4) .... replace g(3) with -4

f(x) = x^2+9

f(-4) = (-4)^2+9

f(-4) = 16+9

f(-4) = 25

f(g(3)) = 25

-------------------------

Another approach:

f(x) = x^2 + 9

f( g(x) ) = ( g(x) )^2 + 9 ... replace every x with g(x)

f( g(x) ) = ( x-7 )^2 + 9 ... plug in g(x) = x-7

f( g(3) ) = ( 3-7 )^2 + 9 .... plug in x = 3

f( g(3) ) = ( -4 )^2 + 9

f( g(3) ) = 16 + 9

f( g(3) ) = 25

Answer:

After she distribute the [tex]x[/tex] and [tex]-1[/tex] by [tex]-5[/tex], the after you get [tex]-5x - 5 > -7x + 19[/tex], she put a negative [tex]5[/tex] instead of a positive [tex]5[/tex], and would be written as[tex]-5x + 5 > -7x + 19[/tex].

Step-by-step explanation:

Solve the inequality for the correct solution:

[tex]-5(x - 1) > -7x + 19[/tex]

-Use Distributive Property:

[tex]-5(x - 1) > -7x + 19[/tex]

[tex]-5x + 5 > -7x + 19[/tex]

-Take [tex]7x[/tex] and add it to [tex]-5x[/tex]:

[tex]-5x + 5 + 7x > -7x + 7x + 19[/tex]

[tex]2x + 5 > 19[/tex]

-Subtract [tex]5[/tex] to both sides:

[tex]2x + 5 - 5 > 19 - 5[/tex]

[tex]2x > 14[/tex]

-Divide both sides by [tex]2[/tex]:

[tex]\frac{2x}{2} > \frac{14}{2}[/tex]

[tex]\boxed {x > 7}[/tex]

Answer:

undefenide+

Step-by-step explanation:

0e46.38 times 6.1 = undefenide+

I hope thishelped your question and have a big A +

byeee✍✍✍

Answer:

1/3

Step-by-step explanation:

Because I’m right

Answer:

a = 3

Step-by-step explanation:

Factor both expressions

x² - x - 6

Consider the factors of the constant term (- 6) which sum to give the coefficient of the x- term (- 1)

The factors are - 3 and + 2 , since

- 3 × 2 = - 6 and - 3 + 2 = - 1 , thus

x² - x - 6 = (x - 3)(x + 2)

-----------------------------------

x² + 3x - 18

consider factors of constant term (- 18) which sum to give the coefficient of the x- term (+ 3)

The factors are + 6 and - 3 , since

6 × - 3 = - 18 and 6 - 3 = + 3 , thus

x² + 3x - 18 = (x + 6)(x - 3)

Both expressions have a common factor of (x - 3)

Compare with (x - a ), then a = 3

Answer:

$337.12

Step-by-step explanation:

Multiply $1562 by 78.5% (or 0.785) =1230.88

Then subtract the percent of her paycheck spent (1230.88) from the total of her paycheck(1562) to find out how much is missing(the mortgage payment)

1562-1230.88=337.12

Answer:8

Step-by-step explanation:

it is the only one without a variable.

Answer:

[tex]\boxed {\tt 8}[/tex]

Step-by-step explanation:

A constant is a term without a variable.

Let's analyze each term of the expression: 13x³+x²-4x+8

13x³: this has a variable of x³

x²: this has a variable of x²

-4x: this has a variable of x

8: this has no variable

Since 8 is the term without a variable, 8 is the constant.