which of the following points is a solution to the system of inequalities shin graphed below?

———————————————

(1) (2, 1)

(2) (5, 0)

(3) (-3, 2)

(4) (3, -5)

thank you in advance to any one who answers this :))))

Answer:

1 /22

6/11

Step-by-step explanation:

Total number of soda = 12

Number of diet soda in pack = 3

Number of regular soda = 12 - 3 = 9

Suppose selection is done without replacement ;

Recall : probability = required outcome / Total possible outcomes

P(selecting diet soda on 1st pick) = number of diet soda / total Number of soda in pack = 3 / 12

Diet soda left = 3 - 1 = 2

Total sodas left in pack = 12 - 1 = 11

P(selecting diet soda on 2nd pick) = 2 /11

Probability(diet soda on both picks) =

3/12 * 2/11 = 6 / 132 = 1 / 22

B.)

P(selecting regular soda on 1st pick) = number of regular / total Number of soda in pack = 9 / 12

Diet soda left = 9 - 1 = 8

Total sodas left in pack = 12 - 1 = 11

P(selecting regular soda on 2nd pick) = 8 /11

Probability(regular soda on both picks) =

9/12 * 8/11 = 72 / 132 = 12 / 22 = 6/11

Answer:

Add  

8

to both sides of the equation.

2

x

2

+

16

x

=

8

Divide each term by  

2

and simplify.

Tap for more steps...

x

2

+

8

x

=

4

To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of  

b

.

(

b

2

)

2

=

(

4

)

2

Add the term to each side of the equation.

x

2

+

8

x

+

(

4

)

2

=

4

+

(

4

)

2

Simplify the equation.

Tap for more steps...

x

2

+

8

x

+

16

=

20

Factor the perfect trinomial square into  

(

x

+

4

)

2

.

(

x

+

4

)

2

=

20

Solve the equation for  

x

.

Tap for more steps...

x

=

±

2

√

5

−

4

The result can be shown in multiple forms.

Exact Form:

x

=

±

2

√

5

−

4

Decimal Form:

x

=

0.47213595

…

,

−

8.47213595

…

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

f ( 1 ) = 18

First term ( a ) = 18

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

When, n = 1

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

f ( 2 ) = 18 - 2

f ( 2 ) = 16

f ( 2 ) - f ( 1 )

= 16 - 18

= - 2

Common difference ( d ) = - 2

f ( 5 )

= a + 4d

= 18 + 4 ( - 2 )

= 18 - 8

= 10

Answer:

Step-by-step explanation:

Given

See attachment for figure

[tex]CA = 4[/tex]

[tex]CA' = 16[/tex]

Required

The scale factor (k)

Since point C is the center of dilation, the scale factor (k) is calculated using:

[tex]k = \frac{CA + CA'}{CA}[/tex]

So, we have:

[tex]k = \frac{4+16}{4}[/tex]

[tex]k = \frac{20}{4}[/tex]

[tex]k = 5[/tex]

Answer:

The actual answer is D

Step-by-step explanation:

(5)
I got 100%

Answer:

H. 163.3

Step-by-step explanation:

The formula for the surface area of a cone is πrl(area of the side) + π[tex]r^{2}[/tex](area of the base), where l is the slant height and r is the radius. We know that the radius is 4 and the slant height is 9, so we plug it into the equation to get π(4)(9) + [tex]\pi r^{2}[/tex] = 36π+16π = 52π which rounds to 163.3.

Answer:

421

Step-by-step explanation:

5894 divided by 14 in decimal = 421 • 5894 divided by 14 in fraction = 5894/14• 5894 divided by 14 in percentage= 42100%

YOUR WELCOME :)))

8605 8378 5814 0101 2233 7198 6215 4903 4076 7964 9597 8078 4333 3033 3153

Because the basket ball player is making 4 free throws, your numbers are only going to be 4 digits long. These are the numbers rearranged.

Hope this helps :)

Answer:

188km

Hi there!!

I hope this answer helps.

Step-by-step explanation:

You can solve this with simple cross multiplication. (proportion)

Step-by-step explanation:

Answer:

x is 7·π/30

Step-by-step explanation:

The given equation is presented as follows;

tan(3·x/7 - π/5) = (-√3)/3

We have that arctan (√3)/3 = π/6, and tangent of an angle is negative in the second quadrant, we get;

arctan (-√3)/3 = -π/6 = 5·π/6

∴ tan(-π/6) = -√3/3 = tan(3·x/7 - π/5)

-π/6 = 3·x/7 - π/5

x = (-π/6 + π/5) × 7/3 = (6·π - 5·π)/30 × 7/3 = π/30 × 7/3 = 7·π/30

x = 7·π/30

Answer:

The volume is approximately 50 m^3

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h where r is the radius and h is the height

The radius is 1/2 of the diameter r = 8/2 = 4

V = pi ( 4)^2 (1)

V = 16 pi

Letting pi be approximated by 3.14

V = 3.14 * 16

V = 50.24

The volume is approximately 50 m^3

Answer:

It's all integers x such that -1<=x<=2.

Step-by-step explanation:

The domain is the x values for which the relation exists.

Lets read from left to right.

First point I see from left exists at x=-1, next one at x=0, then x=1, and finally at x=2.

So it's all integers x such that -1<=x<=2.

*<= means less than or equal to

[tex]\boxed{\large{\bold{\blue{ANSWER~:) }}}}[/tex]

πr is the formula for the __of a circle.

Answer:

D.

a1=7an=−3 · an−1a subscript 1 baseline equals 7 line break a subscript n baseline equals negative 3 times a subscript n minus 1 baseline

Step-by-step explanation:

Answer: 2a (7a² - 11).

Answer:

Step-by-step explanation:

Both numbers are even. You can take out a 2.

14/2 = 7

22/2 = 11

There is a limitation of one a on the 22. But you can take out 1 a

a^3/a = a^2

Combing you get

Answer: 2a(7a^2 - 11)

This is the reverse distributive property.

Answer:

Put both of those equations into slope-intercept form (in order to be typed into the graphing calculator).  

2x + 3y = 16.9

3y = -2x + 16.9

y = (-2/3)x + 16.9/3  

5x = y + 7.4

5x - 7.4 = y  

So in the graphing calculator,

Y1 = (-2/3)x + 16.9/3

Y2 = 5x - 7.4  

Then find the point of intersection and the x value of that would be the solution.

You get the coordinate (2.3, 4.1). So x = 2.3, y = 4.1

Step-by-step explanation:

Answer:

4343

Step-by-step explanation:

To find multiple of 7 from 1 to 100,

Take the quotient of 100/7=14

n=100 (number of terms)

n=100-14 (Without Multiple of 7=number of terms - multiple of 7)

=>n=86

Sum of 1 to 100 => Sn = n/2(a + an)

                          => Sn = 86/2(1+100)

                          => Sn = 43(101)

                          => Sn = 4343

Answer:

4c² + 11cd + 5d

Step-by-step explanation:

(–4c2 + 7cd + 8d) + (–3d + 8c2 + 4cd)

-4c² + 7cd + 8d - 3d + 8c² + 4cd (opening bracket)

8c²-4c²+7cd + 4cd + 8d - 3d

= 4c² + 11cd + 5d

Explanation:

The adjacent angle to the right of the (6x+1) angle is 180-(6x+1). Simply subtract it from 180 to get its supplementary counterpart.

The three inner angles of any triangle must add to 180, so,

(inner angle 1) + (inner angle 2) + (inner angle 3) = 180

[ 180-(6x+1) ] + (79) + (2x+10) = 180

180 - 6x - 1 + 79 + 2x + 10 = 180

(-6x+2x) + (180-1+79+10) = 180

-4x+268 = 180

-4x = 180 - 268

-4x = -88

x = -88/(-4)

x = 22

Answer:

x = 22

Step-by-step explanation:

2x + 10 + 79 = 6x + 1

Think alternate interior angles

2x + 10 + 79  makes up one of the alternate interior angles

6x + 1 is the other.

Combine like terms.

Subtract 2x both sides.

Subtract 1 from both sides.

Divide by 4 both sides.  

Answer:

100

Step-by-step explanation:

we need to swap sides so we take the 320 and put it in the other side but in negative form and that comes out to 1800 and then we divide that by 18

Answer:

x = 100

Step-by-step explanation:

2120 - 320 = 1800

1800 ÷ 18 = 100

Answer:

[tex]a+b+c=10[/tex]

Step-by-step explanation:

We are given that the graph of the equation:

[tex]y=ax^2+bx+c[/tex]

Passes through the three points (0, 5), (1, 10), and (2, 19).

And we want to find the value of (a + b + c).

First, since the graph passes through (0, 5), its y-intercept or c is 5. Hence:

[tex]y=ax^2+bx+5[/tex]

Next, since the graph passes through (1, 10), when x = 1, y = 10. Substitute:

[tex](10)=a(1)^2+b(1)+5[/tex]

Simplify:

[tex]5=a+b[/tex]

The point (2, 19) tells us that when x = 2, y = 19. Substitute:

[tex](19)=a(2)^2+b(2)+5[/tex]

Simplify:

[tex]14=4a+2b[/tex]

This yields a system of equations:

[tex]\begin{cases} 5 = a + b \\ 14 = 4a + 2b\end{cases}[/tex]

Solve the system. We can do so using elimination (or any other method you prefer). Multiply the first equation by negative two:

[tex]-10=-2a-2b[/tex]

Add the two equations together:

[tex](-10)+(14)=(-2a+4a)+(-2b+2b)[/tex]

Combine like terms:

[tex]4 = 2a[/tex]

Hence:

[tex]a=2[/tex]

Using the first equation:

[tex]5=(2)+b\Rightarrow b=3[/tex]

Therefore, our equation is:

[tex]y=2x^2+3x+5[/tex]

Thus, the value of (a + b + c) will be:

[tex]a+b+c = (2) + (3) + (5) = 10[/tex]

Answer:

A

Step-by-step explanation:

First, the list of congruence theorems are:

SSS

SAS

ASA

AAS

HL

SSA is not on the list, so we can cross that out

Next, ASA implies that two angles are congruent, but we only know that one pair of angles (the right angles) are congruent, so we can cross that out

After that, the angle is not connecting the congruent sides, so D is not an option

Finally, we know that the longest sides (AD / AC) are congruent to each other, one other pair of legs/sides are congruent, and the triangles are both right triangles. Therefore, we can apply HL here

Answer:

answer A

Step-by-step explanation:

A=(-4,7)

C=(2,-5)

midpoint = U=((-4+2)/2, (7+(-5))/2)=(-1,1))

B=(3,0)

D=(-5,2)

midpoint = V=((3+(-5))/2,(0+2)/2)=( -1,1)

Diagonals have the same middle, the quadrilater is a parallogram.

Answer:

The truck will have to carry the sand on two trip.

Step-by-step explanation:

Applying,

V = lwh................ Equation 1

Where V = volume of the box truck, l = length of the box truck, h = height of the box truck, w = width of the box truck.

From the question,

Given: l = 1 m, w = 2m, h = 4 m

Substitute into equation 1

V = 1×2×4

v = 8 m³

Since the volume of the box truck is 8 m³, the truck would carry a 9 m³ sand by runing two trip.

First trip: The truck will carry 8 m³ sand

Second trip: The truck will carry the remaining 1 m³ sand

Answer:

y=4sqrt 3 X=8sqr 3

Step-by-step explanation:

4/y=y/12 y^2=48 y= sqrt 48= sqrt 4 * sqrt 3 * sqrt 4 = y = 4sqrt 3 then X

(4sqrt3)^2+144=x^2

48+144=192

sqrt 192

8sqrt3

Step-by-step explanation:

x^2-2x-3x+6=6x

x^2-5x+6=6x

x^2+6=6x+5x

x^2+6=13x

x^2-13x=6

x(x-13)=6

Let the proportion be 3x, 4x and 5x .

We know that sum of all angles of a triangle measures 180°.

So, keeping the values equals to 180°.

⇒ 3x + 4x + 5x = 180°

⇒ 12x = 180°

⇒ x = 180°/12

⇒ x = 15°

Now, finding the each angle measure.

⇒ 3x = 3 × 15 = 45°

⇒ 4x = 4 × 15 = 60°

⇒ 5x = 5 × 15 = 75°

Hence, the measure of each angle is 45°, 60° and 75° respectively.

❒ Required Solution:

So, Let's assume the angles as 3x, 4x and 5x.

❍ According to the question :

[tex]\\ \tt \implies \: 3 x+ 4x + 5x = 180{}^{ \circ} \\[/tex]

[tex]\\ \tt \implies \: 12 x = 180{}^{ \circ} \\[/tex]

[tex]\\ \tt \implies \: x = \frac{180{}^{ \circ} }{12} \\ [/tex]

[tex]\\ \implies \tt \: x = 15{}^{ \circ} [/tex]

Hence,

[tex]\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \circ \: \: \: \: \tt \:1st \: \: \: angle \: \: \: \: \: = 3x=3 \times 15=45{}^{\circ} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \circ \: \tt \:2nd \: \: \: angle \: \: \: \: \: = 4x=4\times 15=60{}^{\circ} \: \: \: \: \: \\ \\ \circ \: \: \: \: \tt \:3rd \: \: \: angle \: \: \: \: \: =5 x=5\times 15=75 {}^{\circ} \: \: \\ \\[/tex]

❒ V E R I F I C A T I O N :

Sum of the angles of the triangle = 180°

[tex]\\ \tt \implies \: 3 x + 4x + 5x = 180{}^{ \circ} [/tex]

[tex]\\ \tt \implies \: 45 {}^{ \circ} + 60{}^{ \circ} + 75{}^{ \circ}= 180{}^{ \circ} [/tex]

[tex]\\ \tt \implies \: 180{}^{ \circ} = 180{}^{ \circ} [/tex]

[tex]\\ {\quad { \quad{ \quad{ \textbf{ \textsf{L.H.S = R.H.S}}}}}}[/tex]

Answer:

The answer is 35 miles.

Step-by-step explanation:

Let's assume that the distance from W to Y is x miles

Distance from W to X is 70 % of x =0.7*x

Given distance from X to Y is 15 miles.

x-15=0.7x

x-0.7x=15

0.3x=15

x=15/0.3

x=50miles

Thus the distance from W to Y is 50 miles and the distance from W to X is 50-15=35 miles

Answer:

So required ans is 5*11+10=65 6x-41=25

Step-by-step explanation:

You can do as,

5x+10+6x-41=90

11x-31=90

11x=31+90

11x=121

x=121/11

x=11