linear or nonlinear!?

Answer:

D. (3. —1)

Step-by-step explanation:

Vertex of a quadratic function:

Suppose we have a quadratic function in the following format:

[tex]f(x) = ax^{2} + bx + c[/tex]

It's vertex is the point [tex](x_{v}, y_{v})[/tex]

In which

[tex]x_{v} = -\frac{b}{2a}[/tex]

[tex]y_{v} = -\frac{\Delta}{4a}[/tex]

Where

[tex]\Delta = b^2-4ac[/tex]

If a<0, the vertex is a maximum point, that is, the maximum value happens at [tex]x_{v}[/tex], and it's value is [tex]y_{v}[/tex].

Turning point of a quadratic function:

The turning point of a quadratic function is the vertex.

y = x2 — 6x + 8

This means that [tex]a = 1, b = -6, c = 8[/tex]

Now, we find the vertex.

[tex]x_{v} = -\frac{b}{2a} = -\frac{-6}{2(1)} = 3[/tex]

[tex]\Delta = b^2-4ac = (-6)^2-4(1)(8) = 36 - 32 = 4[/tex]

[tex]y_{v} = -\frac{4}{4(-1)} = -1[/tex]

(x,y) = (3,-1), and the correct answer is given by option D.

Answer:

10, 1 remaining

Step-by-step explanation:

Each team can have 10 people but there will be a remaining person that will not be able to participate.

31 ÷ 3= 10.33333333

Hope this helped :)

Answer:

(2,7) I think

Step-by-step explanation:

Answer:

(2,7)

Step-by-step explanation:

It's funny, this is the exact topic I just learned.

Ok, 2,-7 would be in the fourth quadrant (IV).

So using this information if we want to reflect it over the x axis, the point would just got over the x axis in quadrant 1. We know that quadrant 1 is (++) so the ordered pair MUST be positive. Hence the answer of (2,7)

Hope this helps!

Answer:

false

Step-by-step explanation:

1+2/5 = 5/5 + 2/5 = 7/5

Answer:

383.8   =  383.8

Step-by-step explanation:

665.5-281.7   ?   373.8

383.8   =  383.8

Answer:

f(x) = (x + 20)(x - 24)(x + 10)(x + 12)

Step-by-step explanation:

This is an equation of degree 4 and as the beginning of the graph descends from negative x the polynomial will have a positive leading coefficient. The graph is roughly W shaped.

It also has zeroes at x = -20,-12 ,-10 and x = 24.

So it is the first option.

Answer:

the value of x is 50°mark the brainliest plzz

Answer:

Step-by-step explanation:

Remember :

1.if the two angles ae co interior angles their sum must be 180 degree.

2.If the two angles are corresponding angles they must be equal.

3.If the two angles are alternate interior or also said as alternate angles then they must also be equal.

4.If two angles are vertically opposite angles then they must be equal.

5.If two angles are alternate exterior angles then they must be equal.

Answer:

????? sus

Step-by-step explanation:

sussy baka????

among sus

Answer:

The range of both [tex]f(x)[/tex] and [tex]g(x)[/tex] is all nonzero real numbers.

Step-by-step explanation:

The range of the function is the set of real number for [tex]y[/tex]. The rational function of the form [tex]y = \frac{a}{x}[/tex], where [tex]a[/tex] is a constant, has a range represented by the subset of nonzero real numbers. This is: [tex]Ran\{f(x)\} = \mathbb{R}-\{0\}[/tex]

Hence, the correct answer is: The range of both [tex]f(x)[/tex] and [tex]g(x)[/tex] is all nonzero real numbers.

Answer:

$8.6

Step-by-step explanation:

The total tax is 8 dollars and 60 cents

Answer:

$153.70

Step-by-step explanation:

Sales tax is applied to things that are sold by a retailer. So if it says 6% tax is levied on the item, that means the total cost will be the initial cost of skateboard ($145) + sales tax (6% of 145)  = 145 + 8.7 = $153.70

Answer:

Step-by-step explanation:

A horizontal line is a "y =  " line. So the horizontal line that goes through the point given has the equation y = -1 (-1 being the y coordinate of the point). That means that another point on this line, y = -1, will also have to have a y coordinate of -1. The only one is the last one, (-2, -1).

Answer:

D

Step-by-step explanation:

I just took the test

Answer:

no solution.

Step-by-step explanation:

given that, y = 3x-1

so,

in equation, 3x-y = 9

putting the value of y here,

3x-(3x-1) = 9

3x-3x+1 = 9

3x and 3x is cancelled.

hence, no solution

Answer:

The sum of the first 18 terms is 270.

Step-by-step explanation:

First the 18th term is calculated which is gotten using the following steps below:

an = a1 + d ( n - 1 )

Where, an =18th term

a1= first term (-2)

d = difference

n = 18

Therefore, 18th term

an= -2 + 2 (18 - 1)

= -2 + 2 (17)

= -2 + 34

18th term = 32

To calculate the sum of the first 18th terms the following steps are used,

Sn = n(a1 + an)/2

Where,

Sn = sum of 18th term

n = 18

a1 = -2

an = 18 term

Therefore,

Sn = 18 (- 2+ 32)/2

= 18 (30)/2

= 18 ×30 /2

= 540/2

= 270

Answer: no I'm actually horrible at math too sorry

Hope this help!!!

Have a nice day!!!

Answer:

Central angle = 98 degrees

Step-by-step explanation:

Radius (r) = 10 Arc length = 49[tex]\pi[/tex]/9

Let 0 be the central angle

Arc Length = 2[tex]\pi[/tex]r0/360

49[tex]\pi[/tex]/9 = 2[tex]\pi[/tex]r0/360

49[tex]\pi[/tex]/9 = [tex]\pi[/tex]x0/18

49[tex]\pi[/tex]/9 x 18/[tex]\pi[/tex] = 0

0 = 49x2

0 = 98 degrees

Answer:

y = -1/4 x+11/16

Step-by-step explanation:

The slope intercept form of a line is

y = mx+b where m is the slope and b is the y intercept

y = -1/4x+b

Substitute the point in for x and y

1 = -1/4(-5/4) +b

1 = 5/16 +b

16/16 = 5/16 +b

Subtract 5/16 from each side

11/16 = b

y = -1/4 x+11/16

Answer:

y = - [tex]\frac{1}{4}[/tex] x + [tex]\frac{11}{16}[/tex]

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 )

Here m = - [tex]\frac{1}{4}[/tex] , then

y = - [tex]\frac{1}{4}[/tex] x + c ← is the partial equation

To find c substitute ( - [tex]\frac{5}{4}[/tex], 1 ) into the partial equation

1 = [tex]\frac{5}{16}[/tex] + c ⇒ c = 1 - [tex]\frac{5}{16}[/tex] = [tex]\frac{11}{16}[/tex]

y = - [tex]\frac{1}{4}[/tex] x + [tex]\frac{11}{16}[/tex]

Answer:

Amount of red paint needed for 1500 ml yellow paint = 400 ml

Step-by-step explanation:

Given:

ration of red paint to yellow paint = 4 ml to 15 ml

Find:

Amount of red paint needed for 1500 ml yellow paint

Computation:

Amount of red paint needed for 1500 ml yellow paint = [ration of red paint to yellow paint]1500

Amount of red paint needed for 1500 ml yellow paint = [4/15]1500

Amount of red paint needed for 1500 ml yellow paint = [4]100

Amount of red paint needed for 1500 ml yellow paint = 400 ml

Answer:

4

Step-by-step explanation:

6 times 12 is 72

72 divided by 18 is 4

Given:

The center of the circle = (-2,5)

The radius of the circle = [tex]3\sqrt{2}[/tex] units.

To find:

The equation of the circle is standard form.

Solution:

The standard form of a circle is:

[tex](x-h)^2+(y-k)^2=r^2[/tex]               ...(i)

Where, (h,k) is the center of the circle and r is the radius of the circle.

It is given that the center of the circle is (-2,5). So, [tex]h=-2,\ k=5[/tex].

The radius of the circle is [tex]3\sqrt{2}[/tex] units. So, [tex]r=3\sqrt{2}[/tex].

Putting [tex]h=-2,\ k=5[/tex] and [tex]r=3\sqrt{2}[/tex] in (i), we get

[tex](x-(-2))^2+(y-(5))^2=(3\sqrt{2})^2[/tex]

[tex](x+2)^2+(y-5)^2=18[/tex]

Therefore, the equation of the circle is [tex](x+2)^2+(y-5)^2=18[/tex].

Answer:

4. 78,020,008 4. Seventy-eight million, twenty thousand, eight

5. 20,011,012 5. 20,000,000 + 11,000 + 12

6. 50,000 7. 900 8. 70,000,000 9. 30,000,000

Answer:the left one

Step-by-step explanation:

Answer:

;)))

Step-by-step explanation:

Answer:

x = 11

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

sum the 3 angles and equate to 180

5x + 4 + 6x - 3 + 4x + 14 = 180 ← collect like terms on left side

15x + 15 = 180 ( subtract 15 from both sides )

15x = 165 ( divide both sides by 15 )

x = 11

Step-by-step explanation:

LCM of 20 and 40 is 40

So,

60/40+30/40

90/40.... Answer

hope it helps

Given:

The data table is given.

The equation of trend line is:

[tex]y=2x+15[/tex]

To find:

Values for residual table.

Solution:

Formula for residual:

[tex]Residual=\text{Observed value}-\text{Predicted value}[/tex]

The equation of trend line is:

[tex]y=2x+15[/tex]                ...(i)

Substituting [tex]x=5[/tex] in (i), we get

[tex]y=2(5)+15[/tex]

[tex]y=10+15[/tex]

[tex]y=25[/tex]

The value of y from the table at [tex]x=5[/tex] is 25. So,

[tex]Residual=25-25[/tex]

[tex]Residual=0[/tex]

Similarly,

Substituting [tex]x=6[/tex] in (i), we get

[tex]y=2(6)+15[/tex]

[tex]y=12+15[/tex]

[tex]y=27[/tex]

The value of y from the table at [tex]x=6[/tex] is 28. So,

[tex]Residual=28-27[/tex]

[tex]Residual=1[/tex]

Substituting [tex]x=7[/tex] in (i), we get

[tex]y=2(7)+15[/tex]

[tex]y=14+15[/tex]

[tex]y=29[/tex]

The value of y from the table at [tex]x=7[/tex] is 29. So,

[tex]Residual=29-29[/tex]

[tex]Residual=0[/tex]

Substituting [tex]x=8[/tex] in (i), we get

[tex]y=2(8)+15[/tex]

[tex]y=16+15[/tex]

[tex]y=31[/tex]

The value of y from the table at [tex]x=8[/tex] is 30. So,

[tex]Residual=30-31[/tex]

[tex]Residual=-1[/tex]

Substituting [tex]x=9[/tex] in (i), we get

[tex]y=2(9)+15[/tex]

[tex]y=18+15[/tex]

[tex]y=33[/tex]

The value of y from the table at [tex]x=9[/tex] is 32. So,

[tex]Residual=32-33[/tex]

[tex]Residual=-1[/tex]

Therefore, the complete residual table is:

x                 :          5            6             7             8             9

Residuals  :          0             1             0             -1            -1

I think 4 but I could be wrong