the graph of y= -2x + 11 is:

Answer:

x = (2 + √3) , (2 - √3)

Step-by-step explanation:

GIVEN :-

TO FIND :-

GENERAL FORMULAE TO BE USED IN THIS QUESTION :-

Quadratic formulae -

For a polynomial ax² + bx + c , its roots are :-

[tex]x = \frac{-b + \sqrt{b^2 - 4ac} }{2a} \; ; \frac{-b - \sqrt{b^2 - 4ac} }{2a}[/tex]

SOLUTION :-

Use the quadratic formulae to find the roots of the polynomial.

[tex]=> x = \frac{-(-4) + \sqrt{(-4)^2 - 4 \times 1 \times 1c} }{2 \times 1} \; ; \frac{-(-4) - \sqrt{(-4)^2 - 4 \times 1 \times 1} }{2 \times 1}[/tex]

         [tex]= \frac{4 + \sqrt{16 - 4} }{2} \; ; \frac{4- \sqrt{16 - 4}}{2}[/tex]

         [tex]= \frac{4 + \sqrt{12} }{2} \; ; \frac{4- \sqrt{12}}{2}[/tex]

         [tex]= \frac{4 + 2\sqrt{3} }{2} \; ; \frac{4- 2\sqrt{3}}{2}[/tex]

         [tex]= \frac{2(2 + \sqrt{3})}{2} \; ; \frac{2(2- \sqrt{3})}{2}[/tex]

         [tex]= (2 + \sqrt{3} ) \; ; (2 - \sqrt{3} )[/tex]

Answer:

b

Step-by-step explanation:

ive done it before

Answer:

D option is correct

( At Q3 the market is wasting society's .. )

Given diameter = 1 inch

radius= D/2 = 1/2 = 0.5 inch

Circumference of circle = 2πr = 2×3.14×0.5= 3.14 inch

Answer circumference of a circle is 3.14 inch

Answer:

False

Step-by-step explanation:

A variable expression can contain numbers (that work alongside the variables) and operations (that describe how the numbers and variables interact)

Answer:20, 40, 40,100

Step-by-step explanation:

5x+2x+2x=180 9x=180 x=20

Answer:

[tex]2/3[/tex]

Step-by-step explanation:

The total number of sums (not distinct) is [tex]4\cdot 3=12[/tex], because we're removing without replacement.

Count the sums that fit the stipulation (sum [tex]\leq[/tex] 5):

[tex]1,2,\\2,1\\1,3\\3,1\\1, 4\\4, 1\\2, 3, \\3,2[/tex]

There are 8 sums that work. Therefore, the desired answer is [tex]\frac{8}{12}=\boxed{\frac{2}{3}}[/tex]

Answer:

"If the line has a slope that is not 0, then the the line is not horizontal".

Step-by-step explanation:

The contrapositive of "If p then q" is "If not q then not p".

p=a line is horizontal

not p= a line that is not horizontal

q=the line has a slope equal to zero

not q=the line has a slope that is not zero

The equivalent statement in contrapositive form is therefore:

"If the line has a slope that is not 0, then the the line is not horizontal".

Answer:

18m

Step-by-step explanation:

Width= 432m2 ÷ 24m

= 18m

Answer:

Step-by-step explanation:

432m^2 / 24m = 18 m is the width of the garden plot

Answer:

[tex]B' = (-3,-3)[/tex]

[tex]C' = (-4.5,-7.5)[/tex]

Step-by-step explanation:

Given

[tex]k = 1.5[/tex]

[tex]B = (-2,2)[/tex]

[tex]C =(-3,-5)[/tex]

Required

B' and C'

This is calculated as;

[tex]B' = k * B[/tex]

[tex]B' = 1.5 * (-2,-2)[/tex]

[tex]B' = (-3,-3)[/tex]

and

[tex]C' =k * C[/tex]

[tex]C' = 1.5 * (-3,-5)[/tex]

[tex]C' = (-4.5,-7.5)[/tex]

Answer:

B

Step-by-step explanation:

Find the area of the circle with r = 36/2     Area1 =  π r²

divide Area1 by two since the upper part of the figure is a semi-circle

then finally add and area of the rectangle   Area2 = (18)(36)

Total area = Area 1 + Area 2

Answer:

1156.7 cm^2

Step-by-step explanation:

for finding area of semi circle

diameter=36 cm

radius=diameter/2

=36/2

=18 cm

area of semi circle=πr^2/2

=3.14*(18)^2/2

=3.14*324/2

=1017.36/2

=508.68 cm^2

area of rectangle=length*breadth

=18 cm *36 cm

=648 cm^2

area of the figure=area of semi circle + area of rectangle

=508.68 + 648

=1156.68

=1156.7 cm^2

The answer is surface area of composite shape= 411.8 Cm²

Answer:

20 balls to each team

Step-by-step explanation:

If 5 boxes contains 2 dozens

And 2 dozens= 24

Multiply boxes by dozens of balls

5×24=120

Then to share, you divide it buy the number of teams

120÷6= 20 balls

Answer:

the function g because the graphs the graphs of f and g are symmetrical about the line y=x

Step-by-step explanation:

Inverse functions are symmetrical to each other about the line y=x. This means that if you flip a function over y=x, that will be its inverse function. It makes sense because inverse functions turn the input of the original function (x) into the output of the inverse function (y), so y=x and x=y. Take the point (-6,0) on f, it becomes (0,-6) on g.

Answer:

Jada should use the tank of golf balls

Step-by-step explanation:

Jada should choose the tank that has a higher probability of choosing a ball with even number from.

Tank of tennis balls has two even numbers out of the ten balls (2, 4)

Tank of golf balls has seven even numbers out of the ten balls.

Tank of golf balls would give Jada more chance to pick an even number to win the game

Therefore, Jada should use the tank of golf balls

Answer:

The area of a regular polygon is A = (1/2)ap, where a is the apothem and p is the perimeter of the polygon.  

The apothem is 8 inches and the perimeter is 6(7) = 42 since there are 7 sides of 6 inches.  

Then the area is

A = (1/2)(8)(42) = 336/2 = 168 in2  

I hope this helped!

Step-by-step explanation:

Mark me as brainlist pleasee

Answer:

Step-by-step explanation:

( x - 1 )2 + ( y + 3 )2 = 90

Answer:

Option D

Explanation:

The real answer would be a bit higher if you use the formula:

Area=π×r^2

9514 1404 393

Answer:

  (a) 10

Step-by-step explanation:

Attached is a graphical solution using "substitution." An expression was written for z using the first equation, and it was substituted into the remaining two equations. This gave two equations in x and y, easily solved graphically.

We found x = 10, y = 3, so ...

  z = 3(10) -4(3) -14 = 30 -12 -14 = 4

The whole solution is (x, y, z) = (10, 3, 4).

Let the lawn seats purchased by the business be : L

Let the reserved seats purchased by the business be : R

Given :

⊕   Cost of each lawn seat : $10

⊕   Cost of each reserved seat : $25

⊕   Sponsoring business has given the $375 to purchase seats

⊕   School purchased 30 seats using all of the money

⇒   L + R = 30         ---------- (1)

⇒   10L + 25R = 375             ----------- (2)

Multiplying equation (1) with 10, we get :

⇒   10L + 10R = 300       ------------- (3)

Subtracting equation (3) from equation (2), we get :

⇒   10L + 25R - (10L - 10R) = 375 - 300

⇒   25R - 10R = 75

⇒   15R = 75

⇒   R = 5

Substituting R = 5 in equation (1), we get :

⇒   L + 5 = 30

⇒   L = 25

Answer: The Business purchased 25 lawn seats and 5 reserved seats

Answer:

The answer is V= ([tex]\pi[/tex]) ([tex]x-3^{2}[/tex]) (2x+7).

Step-by-step explanation:

To find the volume of the cylinder, plug in the information given in the question into the formula for the volume of a cylinder, which is V = [tex]\pi[/tex] [tex]r^{2}[/tex] h.  

I really don't know but I guess 59

Answer:

11

Step-by-step explanation:

first, sort the numbers from lowest to highest.

5,5,6,7,8,9,10,*10,12*,14,15,17,18,18,18,20

the median is the number in the middle of the data

average if you need to (10+12 and divide by 2)

Answer:

lower limit : 36.44

upper limit : 39.56

Step-by-step explanation:

Given :

s = 9

n = 90

x = 38.9

Alpha, α = 0.10

∴ [tex]$z_{\alpha/2}=z_{0.05} = 1.645$[/tex]

The confidence interval is :

[tex]$=x \pm\left(z_{\alpha /2} \times \frac{s}{\sqrt{n}}\right)$[/tex]

[tex]$=38.9 \pm\left(1.645 \times \frac{9}{\sqrt{90}}\right)$[/tex]

[tex]$=38.9 \pm 1.56$[/tex]

[tex]$=(36.44, 39.56)$[/tex]

Therefore,

lower limit : 36.44

upper limit : 39.56