A 2-column table with 6 rows. The first column is labeled t with entries negative 3, negative 2, negative 1, 0, 1, 2. The second column is labeled f of x with entries negative 12, m, 4, 0, negative 4, negative 2. If the table of the function contains exactly two potential turning points, one with an input value of –1, which statement best describes all possible values of m? m ≥ –12 –12 < m < 4 m ≤ 4 m ≥ 4 or m ≤ –12

The equation of the line in slope-intercept form is y = (1/2)x + 3 and the slope is 1/2.

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}\\[/tex]

As we can see in the graph the line goes from (-6, 0) and (0, 3)

Finding the slope:

[tex]\rm m =\dfrac{3-0}{0-(-6)}\\[/tex]

m = 3/6 = 1/2

y = mx + c

y = (1/2)x + c

c is the y-intercept

c = 3

The equation:

y = (1/2)x + 3

Thus, the equation of the line in slope-intercept form is y = (1/2)x + 3 and the slope is 1/2.

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Answer:

Step-by-step explanation:

what is the question?

Answer:

Median = A

Mean = B

Step-by-step explanation:

Khan Academy

The elimination method is valid for the system of equation because the y term cancels.

The system of equation can be solved using elimination methods.

Therefore,

x - 2y = 3

3x + 2y = 17

Hence,

x + 3x  = 4x

-2y + 2y = 0

3 + 17 = 20

Therefore,

4x = 20

The y term cancels. Therefore, we can solve for x and later solve for y.

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Answer:

Adding a quantity like x – 2y to one side of an equation and another quantity like 3 to the other side maintains the equality if the two quantities are equal.

Answer: Isosceles triangle

Step-by-step explanation: Two of the base sides are equal distance away. (Sides AB and AC)

Answer: A. 10.8 km

Step-by-step explanation:

add up all the days:

1.3 + 1.75 + 2.25 + 2.5 + 3 = 10.8 km

Answer:-1/4

Step-by-step explanation:

Take the negative of the reciprocal for perpendicular lines. In the case of no slope (y=number) replace y with x

Answer:

The Fruit market is at -  6th Street and 11th Avenue

Step-by-step explanation:

Distance is a numerical measurement of how far apart objects or points are. to find the distance between two points is the length of the line segment connecting them we use distance formula.

for example :-

if (x, y) and (p, q) are the two points joining the line segment then distance between them is given by the formula :-

[tex]\sqrt{(p- x)^2 + (q-y)^2}[/tex] this is known as the distance formula.

using the above formula :

distance between points (4, 8)  and (12, 20) is:

[tex]\sqrt{(12-4)^2 + (20-8)^2}[/tex]

√(8² + 12²)

√208

14.42

Now the fruit market is Three-fourths the distance between Tia’s home to Lei's home.

therefore,

3/4×14.42  = 10.8

now we can check that option (A ) i.e. (6, 11)  distance from lei home i.e. (12, 20) is equal to 10.8

hence the fruit market is at the = 6th Street and 11th Avenue

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Answer:

A

Step-by-step explanation:

Answer:

y+2= -4(x-8)

Step-by-step explanation:

Answer:

24 is the answer for the following

Step-by-step explanation:

please mark me as brainlest

Answer:

Kathy

Step-by-step explanation:

find the length using the Pythagorean theorem.

Length = sqrt(20^2 - 12^2)

Length = 16 feet

area = 12 x 16 = 192 square feet

Answer:

B

Step-by-step explanation:

let me know if you want an explanation :))

Answer:

cost price = £ 600

discount = 5%

selling price =

5/100 * 600.

5 * 6

30 £

price = 600 - 30

= 570

Answer:

Pythagoras was the Greek geometer .

Please mark me as the brainliest.

Answer: 707 km/h

Step-by-step explanation:

let c = speed of current

16.5 + c = speed of sailboat downstream

16.5 - c = speed of sailboat upstream

distance = travel time * speed

﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋

2(16.5 + c) = 5(16.5 - c)

33 + 2c = 82.5 - 5c

7c = 49.5

c = 7.07 km/h

The answers are mentioned below.

Acceleration is the change of speed with respect to time.

It is given that ,

The mass of the person is 50kg

Weight is 490 N

He has boarded an elevator with a bathroom scale.

1. The elevator is going down at constant speed , Force = 0N as acceleration is zero , The reading is 50kg.

2. The elevator is going up an slowing down . The magnitude of the acceleration is 4.9 m/sq.s , Force = mass * acceleration = 50 * 4.9 = 245N acting upward but the net force will be acting downward.

490 - 245 =  145N , reading 14.79 kg.

3.The elevator is free falling with an acceleration of 9.8m/sq.s force 0 N , as the gravitational force is pulling you down and the scale pushes up with the same force , Reading is 0 kg.

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Answer:

20%

Step-by-step explanation:

Half of 2 = 1

Half of 1.6 = 0.8

1 - 0.8 = 0.2

0.2 × 100 = 20%

Answer:

19-73 19-73 and the other half way back home from the

to ghana 5hjgf and to the 8

The highest common factor of [tex]x^2 y[/tex] and [tex]x[/tex] is [tex]\boxed{x}[/tex]

Answer:

52, 53, 54, pack 1.

Step-by-step explanation:

1)

1.56 = 30

10 = 1.56 / 3

10 = 52 pence

2)

2.12 = 40

10 = 2.12 / 4

10 = 53 pence

3)

3.78 = 70

10 = 3.78 / 7

10 = 54 pence

The cheapest one is the small pack

Answer:

c. 0

Step-by-step explanation:

3(x+8) - 1 = 3x+4

3x+24-1 = 3x+4

3x+23 = 3x+4

There are no solutions since both equations have the same slope meaning they are parallel and they will never intersect since they have different y-intercepts.

Answer:

Let the cost of orange be X and cost of cherry be y

3x + 9y = 78

8x + 4y = 58

Solving equation using elimination method

multiplying eq 1 with 8 and eq 2 with 3

8(3x + 9y ) = 78(8)

3( 8x + 4y) = 3(58)

24x + 72 y = 624

24x + 12y = 174

subtracting,

60 y = 450

y = 7.5

3x + 9(7.5) = 78

3x + 67.5 = 78

3x = 78 - 67.5

3x = 10.5

x = 3.5

Answer:

See below

Step-by-step explanation:

arrange to standard form   (x-h)^2   + (y-k)^2 = r^2     h,k = center   r = radius

x^2 - 4x        +    y^2 + 2y   =   4        complete the square for 'x' and 'y'

(x-2)^2    -  4    +    (y-1)^2  -1  = 4

(x-2)^2    +  ( y-1)^2  = 4 + 4 + 1 = 9           '9' is equal to r^2  so r = 3

center = 2,1     radius = 3

Answer:

you're welcome!!!

Step-by-step explanation:

Answer: D. 2

Step-by-step explanation:

The question is asking for the rate of change from x=1 to x=2. Remember that the rate of change is also the slope, which can be seen as [tex]\frac{rise}{run} or \frac{y}{x}[/tex]. The rise would be going up/down the graph and the run would go left/right of the graph. Let's look at where x=1 and x=2 on the graph.

First, look at where the line falls between x=1 and x=2. Then, on where x=1, go up, then right on the graph, until you find the point where x=2. In this case, the rise over run is [tex]\frac{2}{1}[/tex]. This can be simplified to 2.

Therefore, the answer is 2.

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0.90 nearest tenth is 9 since there is no other number to help round it over.

Answer:

[tex]\fbox {See below} \downarrow[/tex]

Step-by-step explanation:

Question 1

Part (a) :

⇒ 6 × 6 × 6 × 6 × 6 × 6 × 6 = 6ˣ

⇒ 6⁷ = 6ˣ

⇒ x = 7

Part (b) :

⇒ y² = 169

⇒ √y² = √169

⇒ y = ± 13

⇒ y = 13, y = -13

Question 2

Part (a) :

⇒ (√5)² × (√3)²

⇒ 5 × 3

⇒ 15

Part (b) :

⇒ (∛9)³ × (√30)²

⇒ 9 × 30

⇒ 270

Answer:

a) 270000

b) 2000000

c) 24000000

Step-by-step explanation:

For a)

346 to 1 s.f is 300

904 to 1 s.f is 900

300 × 900 = 270000

For b)

2451 to 1 s.f is 2000

988 to 1 s.f is 1000

2000 × 1000 = 2000000

For c)

3204 to 1 s.f is 3000

7756 to 1 s.f is 8000

3000 × 8000 = 24000000

Hope this helped and have a good day