What is the slope of the line on the graph?

Answer:

The leading coefficient of the function shown is negative and the function shown has a maximum vertex point.

Step-by-step explanation:

The leading coefficient is the term with the highest degree in a polynomial.

For example in 4x² + 3x + 1 the leading coefficient would be 4x² as 4x² is the term with the highest degree.

The leading coefficient tells us whether the equation, when graphed, will rise or fall.

If the leading coefficient is negative then the equation will fall when graphed, in contrast if the leading coefficient is positive the equation will rise when graphed.

Looking at the graph, it appears that the equation is falling, meaning that the leading coefficient must be negative.

If the equation falls then it has a maximum point, if it rises then it has a minimum point.

Because the equation shown falls it will have a maximum point.

Step-by-step explanation:

[tex]\displaystyle \rm -2z+3-z=-4z+2 \\\\ -3z+3=-4z+2 \\\\ 4z-3z=-3+2 \\\\ \underline{z=-1 \ \ \ \ } \\\\[/tex]

[tex]\large{\rm{\underline{\underline{Answer:}}}}[/tex]

Given to solve: -2z+3-z = -4z+2

⇛ -3z + 3 = -4z + 2

⇛ -3z + 4z = 2 - 3

⇛ z = -1

Required value of z is -1. The steps we followed are: We shifted z to a single side and other numbers to other side. Then we equated to get the result.

Answer:

3 < S < 17

Step-by-step explanation:

picture the 10 side as the bottom

the 7 side pivoting on the right end of the 10 leg

when it swings toward the left the shortest the third side can be is >3

when it swings to the right the longest the third side can be is <17

Answer:

m∠O = 80°

Step-by-step explanation:

m∠O = 4x - 20

m∠Q = 3x + 5

m∠O and m∠Q are congruent

4x - 20 = 3x + 5

Solve for x = 25

Plug back in

m∠O = 4(25) - 20

m∠O = 100 - 20

m∠O = 80°

Answer:

Slope of the parrelel line: -2/3x

Slope of the perpendicular line: 3/2x

Step-by-step explanation:

Lets first put this into slope intercept form:

y = mx + b

9y = -6x - 1

y = -2/3x = 1/9

So our slope is -2/3x

If we have a line parrelel to this, it means it has the exact same slope, but a different b value.

So the slope of this parellel line would also be -2/3x

Next we need to find the slope of the perpendicular line.

This is the exact opposite of our slope.

To find this, lets first understand our slope.

Our slope is the change in y over the change in x:

Δy/Δx

A perpendicular line is going to be the flipped, and negative of this.

You can think of a perpendicular line being:

-Δx/Δy

Since our slope is -2/3x

Our perpendicular line would be 3/2x

So our answer for the second question is 3/2x

Useful things to remember:

Hope this helps!

Answer:

x = 11

Step-by-step explanation:

∠ EAB = ∠ AED = 4x ( alternate angles )

∠ AEB and ∠  GEB are adjacent angles on a straight line and sum to 180° , so

∠ AEB + 125° = 180° ( subtract 125° from both sides )

∠ AEB = 55°

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ EBC is an exterior angle of the triangle , then

∠ EBC = ∠ AEB + ∠EAB , that is

9x = 55 + 4x ( subtract 4x from both sides )

5x = 55 ( divide both sides by 5 )

x = 11

A is the scale or vertical stretch

H is what makes it move right or left.

K is what makes it move up or down.

a = 1

h = -2

k = -7

y = (1) (x-(-2))² + (-7)

y= (x + 2)² -7

(Also, you will learn b in the equation. The equation would be a(b(x-h))² + k. B would be about horizontal compression.)

Answer:

1)y=2x+7

2) unsure what the question is due to blur

3)y=3/4x-2

4)y=-2x

Answer:

Step-by-step explanation:

1) (1,9) ; slope = 2

Point slope form:

y - y₁ = m(x - x₁)

y - 9 = 2(x - 1)

Slope intercept form:

y - 9 = 2x - 2

    y = 2x - 2 + 9

 y = 2x + 7

3) (-4 , -5)  ; slope = 3/5

Point slope form:

y - y₁ = m(x - x₁)

[tex]y - [-5] = \dfrac{3}{4}(x - [-4])\\\\\\y + 5 = \dfrac{3}{4}(x + 4)[/tex]

Slope intercept form:

[tex]y + 5 = \dfrac{3}{4}x + 4*\dfrac{3}{4}\\\\y + 5 =\dfrac{3}{4}x + 3\\\\y = \dfrac{3}{4}x +3 -5 \\\\\\y = \dfrac{3}{4}x - 2[/tex]

Step-by-step explanation:

3(10000) + 1700 - 20

30000 + 1700 - 20

31680

Step-by-step explanation:

the rate of change is the slope of the line y/x. it is always the factor of x in the equation.

it indicates how many units y changes, when x changes a certain amount of units when going from one point to another.

we only need to look at 2 points.

to go from (0, 4) to (4, -3)

x changes by +4 (from 0 to 4),

y changes by -7 (from 4 to -3).

so the rate of change is -7/3

Answer:

18,009

Step-by-step explanation:

18000 would be a reasonable estimate

Answer:

x = 7

Step-by-step explanation:

If u // v, then

19x - 3 = 130   {Corresponding angles are congruent}

19x = 130 + 3

19x = 133

x = 133/19

x = 7

Answer:

3.9X10^-4

Step-by-step explanation:

The value is increasing so your exponent increases

Answer:

tence there will be 6,00 insects abter 8 weeks.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Each dog has 4 legs, 2 ears and 1 tail, total of 7.

Number of dogs:

Answer: 2

Step-by-step explanation:

Answer:

1014

Step-by-step explanation:

Remember this formula to find certain terms in arithmetic sequences:

[tex]t_{n} =t_{1} +(n-1)d[/tex]

n = term number

[tex]t_{1}[/tex] = term #1

d = common difference

Sequence = 24, 34, 44, 54...

We are looking for term #100

So we do

[tex]t_{100} = 24 + (100-1)10\\t_{100} = 24 + 1000 - 10\\t_{100} = 24 + 990\\t_{100} = 1014[/tex]

(-9,6) and (-3,2) help pls

Answer : -12.8

Answer:

A

Step-by-step explanation:

The Explication 0 (7+4i)+(7-4i) = 14

The correct equation which demonstrates the additive identity property is,

⇒ (7 + 4i) + 0 = 7 + 4i

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

Now, If we add a real number to zero or add zero to a real number, then we get the same real number back.

Hence, The number zero is known as the identity element, or the additive identity.

For example: a + 0 = a

Hence, we can see that;

⇒ (7 + 4i) + 0 = 7 + 4i

Since, 0 is the additive identity here.

Thus, The correct equation which demonstrates the additive identity property is,

⇒ (7 + 4i) + 0 = 7 + 4i

Learn more about the addition visit:

https://brainly.com/question/25421984

#SPJ7

Answer:

1.5x+2y=total cost

Step-by-step explanation:

Answer:

it takes me 14 minutes to go to class

Answer:

265

Step-by-step explanation:

you only need to do is simplify the expression.

Answer:

2%

Step-by-step explanation:

Interest Rate = (Simple Interest × 100)/(Principal × Time).

50= 500(5)(r)

50= 2500r

50/2500= .02 or 2%

Step-by-step explanation:

first find out the area of sector ECF

π(10)² × 40°/360°

=100π×1/9

=100π/9 m²

now find the area of sector DCG

π(2)² × 40°/360°

=4π/9 m²*

so the area of the shaded region would be the big sector minus the small sector

so

100π/9 - 4π/9

=96π/9

=33.5 m² (3sig.fig.)

*Note that 4π/9 DOES NOT equal to 2π/3

4/9 DOES NOT EQUAL TO 2/3

2nd one the combining with y one

Answer:

r + s

Step-by-step explanation:

the product of r and s

\/

Addition

\/

the product of r and s

\/

r + s

Have a nice day!

     If this is not what you are looking for - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

Yes.

Step-by-step explanation:

Because

6*4 =24

and 4*0 = 0,

24+0=24

have a nice day!!!