Does this graph show a function? Explain how you know.
5
-5
-5
A. No; there are y-values that have more than one x-value.
B. No; the graph fails the vertical line test.
C. Yes; the graph passes the vertical line test.
D. Yes; there are no y-values that have more than one x-value.

Answer:

x = 6.

Step-by-step explanation:

x - y = 4

x + y = 8

2x = 12

x = 6.

6 - y = 4

-y = -2

y = 2

6 + y = 8

y = 2

Hope this helps!

The solution to the system of equations is (6, 2).

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

The given system of equations are

x-y=4 ------(i)

x+y=8 ------(ii)

Subtract equation (ii) from equation (i), we get

x+y-(x-y)=8-4

x+y-x+y=4

2y=4

y=2

Substitute y=2 in equation (i), we get

x-2=4

x=6

So, the solution is (6, 2)

Therefore, the solution to the system of equations is (6, 2).

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Answer:

a) BOC and AOD

b) BOA and AOE

c) BOE and EOD

d) BOA and AOD

e) AOE and EOD

Step-by-step explanation:

An obtuse angle is an angle that has more than 90° and vertically opposite angles are angle formed by two lines crossed. So, Obtuse vertically opposite angles are BOC and AOD

Adjacent angles are angles in which one angle is beside the other and complementary angles are angles whose sum is equal to 90°, so,  a pair of adjacent complementary angles are BOA and AOE.

Supplementary angles are angles whose sum is equal to 180°, so BOE and EOD are equal suplementary angles and BOA and AOD are unequal supplementary angles

Finally, AOE and EOD are adjacent angles that don’t form a linear pair.

Answer:

3 but not positive

Step-by-step explanation:

Answer:

5! i just did this question

Step-by-step explanation:

Answer:

We get the sum of numbers rounded off to nearest 100 = 300

Step-by-step explanation:

Integers from 1 to 10 inclusive.

Squaring them:

[tex]1^{2} = 1\\2^{2} = 4\\3^{2} = 9\\4^{2} = 16\\5^{2} = 25\\6^{2} = 36\\7^{2} = 49\\8^{2} = 64\\9^{2} = 81\\10^{2} = 100[/tex]

Rounding each of them to the nearest 100:

All the number less than 50 are rounded off to previous 100, which is 0.

All the other numbers i.e. 64, 81 are rounded off to 100.

100 is already rounded off, we do not need to round it off.

[tex]1 \rightarrow 0 \\4\rightarrow 0\\9\rightarrow 0\\16\rightarrow 0\\ 25\rightarrow 0\\36\rightarrow 0\\49\rightarrow 0\\64\rightarrow 100\\81\rightarrow 100\\[/tex]

Now, taking the sum of the rounded off numbers:

[tex]0+0+0+0+0+0+0+100+100+100 = 300[/tex]

We get the sum of numbers rounded off to nearest 100 = 300

Calculating actual sum of squares from 1 to 10:

Using the formula:

[tex]S_n = \dfrac{n(n+1)(2n+1)}{6}[/tex]

Here n = 10

[tex]1^2+2^2+3^2+..... + 10^2 = \dfrac{10 \times 11 \times 21}{6} \\\Rightarrow \bold {385}[/tex]

And sum of rounded off numbers = 300

Answer:

[tex]\boxed{12}[/tex]

Step-by-step explanation:

When x = 3, y = 13

When x = 5, y = 37

Subtract both y-values to find the change:

37 - 13 = 24

Average of the change:

[tex]\frac{24}{2}[/tex] = 12

Answer:

x=6

Step-by-step explanation:

2x - 5 = 7

Add 5 to each side

2x-5+5 = 7+5

2x= 12

Divide by 2

2x/2 = 12/2

x = 6

Answer:

x = 6.

Step-by-step explanation:

2x - 5 = 7

2x = 7 + 5

2x = 12

x = 6

Check your work!

2 * 6 - 5 = 7

12 - 5 = 7

7 = 7

Hope this helps!

Answer:

when x=1,  y=7. when x=2, y=10. when  x=3, y=13

Step-by-step explanation:

x=1 into y=3(1)+4

y=3+4

y=7

x=2 into y=3(2)+4

y=6+4

y=10

x=3 into y=3(3)+4

y=9+4

y=13

Hope this helps all you do is insert the x value in for x and solve for y!! Please mark Brainliest.

Answer:

1. x = 1, y = 7

2. x = 2, y = 10

3. x = 3, y = 13

Step-by-step explanation:

1. When x is 1 in y = 3x + 4

Replace the x in 3 to 1.

Then it becomes 3(1) + 4

3 x 1= 3

3 + 4= 7

2.  When x is 2 in y = 3x + 4

Replace the x in 3 to 2.

Then it becomes 3(2) + 4

3 x 2= 6

6 + 4= 10

3. When x is 3 in y = 3x + 4

Replace the x in 3 to 3.

Then it becomes 3(3) + 4

3 x 3= 9

9 + 4= 13

Answer:

the next one is s4=(4En=1)400(1.05)n-1

Step-by-step explanation:

Answer: B.)  1,500,000 centimeters

Step-by-step explanation: I took the test on it! a little hint, If you would've just looked up " Convert 15,000 meters to Centimetres. " The answer would've shown up with the accurate calculator that google has provided! Hope that helps luv <3

Answer:

1,000,000

hope this helps <3

Answer:

[tex]Sin \theta = \frac{Perpendicular}{Hypotenuse}=\frac{3}{\sqrt{13}}[/tex]

[tex]Cos \theta = \frac{Base}{Hypotenuse}=\frac{2}{\sqrt{13}}[/tex]

[tex]Tan \theta = \frac{Perpendicular}{Base}=\frac{3}{2}[/tex]

Step-by-step explanation:

We are given that The point (2, 3) is on the terminal side of angle Θ, in standard position

First Draw a vertical line from the point(2,3) to the x axis.

So, Length of vertical line is 3

The intersection of the line with the x axis is at x=2.

 So, now we have obtained a triangle with the horizontal side of length 2, the vertical side of length 3

To Find hypotenuse we will use Pythagoras theorem

[tex]Hypotenuse^2=Perpendicular^2+Base^2\\Hypotenuse^2=3^2+2^2\\Hypotenuse=\sqrt{9+4}\\Hypotenuse=\sqrt{13}[/tex]

[tex]Sin \theta = \frac{Perpendicular}{Hypotenuse}=\frac{3}{\sqrt{13}}[/tex]

[tex]Cos \theta = \frac{Base}{Hypotenuse}=\frac{2}{\sqrt{13}}[/tex]

[tex]Tan \theta = \frac{Perpendicular}{Base}=\frac{3}{2}[/tex]

Answer:

x = - 4

Step-by-step explanation:

Given

3 - 2 |0.5x + 1.5 | = 2 ( subtract 3 from both sides )

- 2 |0.5x + 1.5 | = - 1 ( divide both sides by - 2 )

|0.5x + 1.5 | = 0.5

The absolute value function always gives a positive value, however, the expression inside can be positive or negative, thus

0.5x + 1.5 = 0.5 ( subtract 1.5 from both sides )

0.5x = - 1 ( divide both sides by 0.5 )

x = - 2 ← solution Manuela obtained

OR

-(0.5x + 1.5) = 0.5 ← distribute parenthesis on left side by - 1

- 0.5x - 1.5 = 0.5 ( add 1.5 to both sides )

- 0.5x = 2 ( divide both sides by - 0.5 )

x = - 4 ← other solution to the equation

Based on the information given, it can be noted that the solution to the equation will be x = -4.

From the equation given, 0.5x + 1.5 = 0.5

Subtract 1.5 from both sides

0.5x + 1.5 - 1.5 = 0.5 - 1.5

0.5x = - 1

Divide both side by 0.5

0.5x/0.5 = 1/0.5

x = 2

Also, the other solution will be:

-0.5x - 1.5 = 0.5

-0.5x = 0.5 + 1.5

-0.5x = 2

x = 2/-0.5

x = -4.

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Answer:

volume 1 =763 cm3

volume 2 = 6,104 cm3

Second volume is 8 times greater than the first volume.

Surface area 1 = 466 cm2

surface area 2 =1,865 cm2

second surface area is 4 times greater than the first surface area .

Step-by-step explanation:

Volume of a cylinder: π radius^2 x height

Radius = diameter /2 = 9/2 = 4.5

V = 3.14 x 4.5^2 x 12 = 763 cm3

Surface area: (3.14 r^2)2 + 2(π x radius x height)

Sa = (3.14 x 4.5^2 )2 + 2(3.14 x 4.5 x 12 )=466 cm2

Since the second canister is double the size:

Radius = 4.5 x 2 = 9

Height = 12 x 2 =24

V = 3.14 x 9^2 x 24 = 6,104 cm3

Sa = (3.14 x 9^2 )2 + 2(3.14 x 9 x 24 )=1,865 cm2

Dividing the second volume by the first one:

6,104/ 763 = 8  

Second volume is 8 times greater than the first volume.

Dividing the second surface area by the first one:

1865/466 = 4

second surface area is 4 times greater than the first surface area .

==================================================

Work Shown:

Let x = 0.363636...

The "36" pattern goes on forever as indicated by the three dots.

Multiply both sides by 100 to get 100x = 36.363636...

Effectively, multiplying by 100 moves the decimal point over 2 spots to the right. The "36" goes on forever here too. The key is to match up the infinite sequences of "36"s and cancel them out through subtraction

36.363636... - 0.363636... = 36

while

100x - x = 99x

So after subtracting the equations, we end up with 99x = 36

From here we solve for x by dividing both sides by 99 and reducing the fraction

99x = 36

x = 36/99

x = (9*4)/(9*11)

x = 4/11

As a check, use your calculator to find that

4/11 = 0.36363636...

so the answer is confirmed

Note: your calculator may display something like 0.3636363636364, that 4 should not be there. It's a result of rounding (due to the next digit being a 6). Keep in mind that rounding error is often a possibility when it comes to approximate calculations. The calculator only has so much memory and display space.

Answer:

Step-by-step explanation:

Given,

Perpendicular ( p ) = 3√2

Base ( b ) = 2√3

Hypotenuse ( h ) = ?

Now, let's find the length of the hypotenuse:

Using Pythagoras theorem:

[tex] {h}^{2} = {p}^{2} + {b}^{2} [/tex]

plug the values

[tex] {h}^{2} = {(3 \sqrt{2} )}^{2} + {(2 \sqrt{3} )}^{2} [/tex]

To raise a product to a power, raise each factor to that power

[tex] {h}^{2} = 9 \times 2 + 4 \times 3[/tex]

Multiply the numbers

[tex] {h}^{2} = 18 + 12[/tex]

Add the numbers

[tex] {h }^{2} = 30[/tex]

Take the square root of both sides of the equation

[tex]h = \sqrt{30} [/tex]

Hope this helps...

Best regards!!

[tex]\small\star\underline\bold\red{Given-}[/tex]

Sides of the right triangle

[tex]\small\star\underline\bold\red{To\:Find-}[/tex]

[tex]\small\star\underline\bold\red{Solution-}[/tex]

By Pythagoras Theorum ,

[tex]\small\fcolorbox{red}{white}{h² = b² + p² }[/tex]

[tex]\implies[/tex] h² = (2√3)² + (3√2)²

[tex]\implies[/tex] h² = 12 + 18

[tex]\implies[/tex] h² = 30

[tex]\implies[/tex] h = √30

Answer:

m∠AVF = 158°

Step-by-step explanation:

In the diagram attached,

m∠AVD = m∠BVE = m∠CVF = 90°

m∠CVD = 22°

∠AVB = ∠EVF

Since ∠AVD = ∠AVC + ∠CVD

Therefore, 90° = m∠AVC + 22°

m∠AVC = 90° - 22°

             = 68°

Similarly, m∠CVF = m∠CVD + m∠DVF

90° = 22° + m∠DVF

m∠DVF = 68°

m∠AVC = m∠DVF = 68°

Now ∠AVF = ∠AVD + ∠DVF

                  = 90° + 68°

                  = 158°

Answer:

N = 33

Step-by-step explanation:

N = D + 19

.05N + .10 D = 3.05

N = 33

D = 14

Answer:

As the number of trials increases, experimental probability is closer to theoretical probability; as the number of trials increases, there is no change in the theoretical probabilities.

This is a bit hard to explain. I would recommend looking back at your  definitions/study guides to better understand this question.

A and D

Please mark brainiest

Answer:

Option D.

Step-by-step explanation:

Sten thinks of a number and gives his friends some clues about it.

"My number rounded to the nearest ten, nearest hundred, and nearest thousand gives the same value each time."  

Number     Nearest ten   Nearest Hundred   Nearest thousand

A. 735,619      735,620          735,600               736,000

B. 423,006     423,010          423,000               423,000

C.958,598      958,600         958,600               959,000    

D.517,996       518,000          518,000                518,000

The number 517,996 gives same values after rounded to the nearest ten, nearest hundred, and nearest thousand.

Therefore, the correct option is D.

We need to know the rules of congruence of triangles to solve the given problem. The required condition that is sufficient to prove that the triangles are congruent is option (C) AB≅JK.

There are three rules of congruence of triangles, if two triangles satisfy any one of these rules then we can say that the triangles are congruent.  The three rules are, SSS which means three sides are equal, ASA which means two angles and their corresponding sides are equal and SAS which means that two sides and the angle between them is equal. When two angles are said to be congruent it means they have the same measure that is they are equal. In this question we know that ∠A≅∠J and ∠B≅∠K , we can see that two angles are equal, if we can have the corresponding side of these two angles to be equal then we can say that the two triangles are congruent. The corresponding side of these angles are AB and JK.

Therefore we can see that the required condition to prove that the triangles are congruent is option (C) AB≅JK.

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Answer:

[tex]n = 65m[/tex]

Number of minutes is 80 minutes

Step-by-step explanation:

Given

The attached table

Calculating the number of copies the machine can make in a minute

Represent number of minutes with m and number of copies with n

First, we need to calculate the ratio of m to n

[tex]Ratio = \frac{n}{m}[/tex]

When m = 5; n = 325

[tex]Ratio = \frac{325}{5}[/tex]

[tex]Ratio = 65[/tex]

When m = 10; n = 650

[tex]Ratio = \frac{650}{10}[/tex]

[tex]Ratio = 65[/tex]

When m = 15; n = 975

[tex]Ratio = \frac{975}{15}[/tex]

[tex]Ratio = 65[/tex]

When we continue for other values of m and n, the ratio remains the same;

So; we make use of [tex]Ratio = \frac{n}{m}[/tex] to determine the relationship between m and n

Substitute 65 for Ratio

[tex]65 = \frac{n}{m}[/tex]

Multiply both sides by m

[tex]m * 65 = \frac{n}{m} * m[/tex]

[tex]65m = n[/tex]

[tex]n = 65m[/tex]

This implies that, you have to multiply the number of minutes by 65 to get the number of copies

Calculating the number of minutes to print 5200 copies;

In this case;

Ratio = 65 and n = 5200

So;

[tex]Ratio = \frac{n}{m}[/tex] becomes

[tex]65 = \frac{5200}{m}[/tex]

Multiply both sides by m

[tex]65 * m = \frac{5200}{m} * m[/tex]

[tex]65 * m = 5200[/tex]

Divide both sides by 65

[tex]\frac{65 * m}{65} = \frac{5200}{65}[/tex]

[tex]m = \frac{5200}{65}[/tex]

[tex]m = 80[/tex]

Hence; number of minutes is 80 minutes

Answer:

Current Bond price = $1155.5116

Step-by-step explanation:

We are given;

Face value; F = $1,000

Coupon payment;C = (7.3% x 1,000)/2 = 36.5 (divided by 2 because of semi annual payments)

Yield to maturity(YTM); r = 5.6%/2 = 2.8% = 0.028 (divided by 2 because of semi annual payments)

Time period;n = 13 x 2 = 26 years (multiplied by 2 because of semi annual payments)

Formula for bond price is;

Bond price = [C × [((1 + r)ⁿ - 1)/(r(r + 1)ⁿ)] + [F/(1 + r)ⁿ]

Plugging in the relevant values, we have;

Bond price = [36.5 × [((1 + 0.028)^(26) - 1)/(0.028(0.028 + 1)^(26))] + [1000/(1 + 0.028)^(26)]

Bond price = (36.5 × 18.2954) + (487.7295)

Bond price = $1155.5116

Answer: C: 60 ft

Step-by-step explanation:

Her pencil is 12 inches and its shadow is 4 inches. Her pencil is 3 times longer than its shadow, so using that logic we can conclude that the tower is 3 times longer than its shadow as well.

[tex]20*3=60[/tex]

The tower is 60 feet tall.

Answer: The Third one is correct

Step-by-step explanation:

Given: A water bottle cost 4 dollars and a hat cost 6 dollars.

Let x = Number of water bottles

y = Number of hats

The club wants to raise $1200.

i.e. Required equation : 4x+6y=1200

At x=0,

[tex]0+6y=1200\Rightarrow\ y=\dfrac{1200}{6}\Rightarrow\ y=200[/tex]

At x= 300

[tex]4(300)+6y=1200\\\Rightarrow\ 1200+6y=1200\Rightarrow\ 6y=0\Rightarrow y=0[/tex]

At x= 240

[tex]4(240)+6y=1200\\\Rightarrow\ 960+6y=1200\Rightarrow\ 6y=240\Rightarrow y=40[/tex]

So,three ordered pairs(x,y) that exist on the line : (0,200), (300,0) and (240,40)

Plot these point on graph and join them.

Answer: the other guy is correct. Got it right on my test. Have a nice day. :|

Step-by-step explanation:

Answer:

y  = ± 2sqrt(3)

Step-by-step explanation:

5y^2 - 60 = 0

Add 60 to each side

5y^2  = 60

Divide by 5

y^2 = 60/5

y^2 = 12

Take the square root of each side

sqrt( y^2) = ± sqrt(12)

y = ± sqrt(4*3)

y =  ±sqrt(4) sqrt(3)

y  = ± 2sqrt(3)

Answer:3.82

Step-by-step explanation: Find 80% of 4.50 (4.50 x 0.8=3.60) then find 6% of 3.6 (0.06 x 3.6= 0.216) add 0.216 + 3.6= 3.816 but in money you have to round so the answer is 3.82

Answer:

1.8

Step-by-step explanation:

$4.50-%20=3.6

3.6- %9=1.8

Answer:

[tex]\boxed{\sf B. \ \sqrt{61} }[/tex]

Step-by-step explanation:

The line can be made into a hypotenuse of a right triangle.

Find the length of the base and the height of the right triangle.

The base (leg) is 6 units.

The height (leg) is 5 units.

Apply Pythagorean theorem.

[tex]\sf c=\sqrt{a^2 +b^2 }[/tex]

[tex]\sf c=\sqrt{6^2 +5^2 }[/tex]

[tex]\sf c=\sqrt{36+25 }[/tex]

[tex]c=\sqrt{61}[/tex]

Answer:

Option B is the correct option

Step-by-step explanation:

Assuming center of co-ordinate axes at lower left corner at the line. So end points are:

( x1 , y1 ) = ( 0 , 0 ) and ( x2 , y2 ) = ( 6 , 5 )

Distance between two points is given by formula:

D [tex] = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } [/tex]

[tex] = \sqrt{ {6 - 0)}^{2} + {(5 - 0)}^{2} } [/tex]

[tex] = \sqrt{ {6}^{2} + {5}^{2} } [/tex]

[tex] = \sqrt{36 + 25} [/tex]

[tex] = \sqrt{61} [/tex]

Hope this helps..

Best regards!!

Answer:

x² - 9

Step-by-step explanation:

Given

(x + 3)(x - 3)

Each term in the second factor is multiplied by each term in the first factor, that is

x(x - 3) + 3(x - 3) ← distribute both parenthesis

= x² - 3x + 3x - 9 ← collect like terms

= x² - 9

Answer:

Step-by-step explanation:

[tex](x + 3)(x - 3)[/tex]

Multiply each term in the first parentheses by each term in the second parentheses ( FOIL )

[tex]x(x - 3) + 3(x - 3)[/tex]

Calculate the product

[tex] {x}^{2} - 3x + 3x - 3 \times 3[/tex]

Multiply the numbers

[tex] {x}^{2} - 3x + 3x - 9[/tex]

Since two opposites add up to zero, remove them from the expression

[tex] {x}^{2} - 9[/tex]

Hope this helps..

Best regards!!

Answer:

(B) 3/5

Step-by-step explanation:

In the figure above, both circles have their centers at point O. Point A lies on segment OB. If OA = 3 and AB = 2, what is the ratio of the circumference of the smaller circle to the circumference of the larger circle?

(A) 2/3

(B) 3/5

(C) 9/16

(D) 1/2

(E) 4/9

Answer: The circumference of a circle is the perimeter of the circle, that is it is the arc length of the circle. The circumference of a circle is given as:

Circumference = 2 π r.   Where r is the radius of the circle.

The radius of the bigger circle = length of OB = OA + AB = 3 + 2 = 5

Circumference of the bigger circle = 2 π (5) = 10π

The radius of the smaller circle = length of OA = 3

Circumference of the smaller circle = 2 π (3) = 6π

The ratio of the circumference of the smaller circle to the circumference of the larger circle = circumference of the smaller circle / circumference of the larger circle = 6π / 10π = 3/5