F(x) is a function

A.true
B.false

Answer:

C.

Step-by-step explanation:

(5+5)/2 = 5, (4 + -5)/2 = -1/2

(5, -1/2)

TFW when you realize you answered two years too late...

Answer:

2x^2+4x-30=0

Step-by-step explanation:

2x^2+10x-6x-30=0

2x(x+5)-6(x+5)=0

(2x-6)(x+5)=0

2x-6=0        x+5=0

x=6/2          x=-5

x=3

Answer:

Step-by-step explanation:

[tex]2x^2+4x-30=0\\<=> x^2+2x-15=0[/tex]

so we know that the sum of the two solutions is -2 and the multiplication -15

so we are looking for x so that

x+3=-2 and 3x=-15

it gives x = -5

another way to do it is to put (x-3) in factor as we know that 3 is one of the solutions it gives

[tex]2x^2+4x-30 = 2(x-3)(x+5)[/tex]

and then the second solution is -5

Answer:

16 is the width 32 is the length

Step-by-step explanation:

L = 2x

96 = 2L + 2x           Substitute the first equation into the second equation for L

96 = 2(2x) + 2x       Multiply

96 = 4x + 2x           Add

96 = 6x                   Divide both sides by 6

16 = x

Plug this into the first equation to solve for the length

L = 2(16)                  Multiply

L = 32

Answer:

11 years

Step-by-step explanation:

Answer:

Its actually 10 years

Step-by-step explanation:

Its about 10.4 but it says nearest year and 10 is closer than 11

Answer:

-(i×5) + 18

Step-by-step explanation:

Simplify the following:

-sqrt(-25) + 18

sqrt(-25) = sqrt(-1) sqrt(25) = i sqrt(25):

18 - i sqrt(25)

sqrt(25) = sqrt(5^2) = 5:

Answer: -(i×5) + 18

Answer:

113.1

Step-by-step explanation:

V=4

3πr3=4

3·π·33≈113.09734

If the first diver was already at -18 feet and then dived down an additional 30 feet, we add the two negative numbers together. The first diver is at -48 feet while the second diver is at -27 feet.

Answer:

Diver A is 21 ft below Diver B

Step-by-step explanation:

Diver A

-18 then goes down 30

-18 - 30 = -48

Diver B is at -27

Relationship

-48 - -27

-48+27 = -21

Diver A is 21 ft below Diver B

Answer90

Step-by-step explanation:

Answer:

[tex]3y - 2x = 13[/tex]

Step-by-step explanation:

Given

Points (-14,-5) and (4,7)

Required

Find its linear equation in a standard form

To find the linear form, we start by calculating the slope of the line

This is calculated as thus:

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

Where [tex](x_1,y_1) = (-14,-5)\ and\ (x_2,y_2) = (4,7)[/tex]

So, [tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex] becomes

[tex]m = \frac{7 - (-5)}{4 - (-14)}[/tex]

[tex]m = \frac{7 + 5}{4 + 14}[/tex]

[tex]m = \frac{12}{18}[/tex]

Simplify fraction to lowest term

[tex]m = \frac{6*2}{6*3}[/tex]

[tex]m = \frac{2}{3}[/tex]

The equation of the line can then be calculated using any of the given points;

Using

[tex]m = \frac{y - y_1}{x - x_1}[/tex]

[tex]Where\ (x_1,y_1) = (-14,-5)\ and\ m = \frac{2}{3}[/tex]

We have

[tex]\frac{2}{3} = \frac{y-(-5)}{x-(-14)}[/tex]

[tex]\frac{2}{3} = \frac{y+5}{x+14}[/tex]

Multiply both sides by 3

[tex]3 * \frac{2}{3} = \frac{y+5}{x+14} * 3[/tex]

[tex]2 = \frac{y+5}{x+14} * 3[/tex]

[tex]2 = \frac{3(y+5)}{x+14}[/tex]

Multiply both sides by x + 14

[tex]2 * (x + 14) = \frac{3(y+5)}{x+14} * (x + 14)[/tex]

[tex]2 * (x + 14) = 3(y+5)[/tex]

Open brackets

[tex]2 * x + 2 * 14 = 3* y+ 3 * 5[/tex]

[tex]2x + 28 = 3y+ 15[/tex]

Subtract 2x from both sides

[tex]2x - 2x + 28 = 3y+ 15 - 2x[/tex]

[tex]28 = 3y+ 15 - 2x[/tex]

Subtract 15 from both sides

[tex]28 - 15 = 3y+ 15 - 2x - 15[/tex]

[tex]28 - 15 = 3y - 2x + 15- 15[/tex]

[tex]13 = 3y - 2x[/tex]

Reorder

[tex]3y - 2x = 13[/tex]

Hence, the equation of the line in standard form is [tex]3y - 2x = 13[/tex]

Answer:

the second number line in the second row OR The number line D in the attached image

Step-by-step explanation:

Lets start solving the question.

(For ease of understanding each line i have labeled them please see the attachment to relate my explanation)

first read the question it i mentioned that which number line currently shows 0.8+0.3.

After reading the question it is clear that which ever line will represent it will be the addition of 08.+0.3.

here please take a note that we are dealing with a number line hence the sign also matters.

Now lets start analyzing lines one by one.To make it easy i have attached an image where i have labeled the lines as A,B,C,D,E,and F for the ease  of understanding.

so take the first line A into consideration,

its starting from 0.3 and ending at 0 means its decrementing you can also determine it with the direction. any line that originates from the origin and goes to the right shows increment and addition and the lines that originates from origin and goes to the left shows decrement.

so here we can easily all those lines which are showing a leftward directions as it is decrementing and we want a line that increments 0.8+0.3

so now th lines A,B,F and H can be skipped.

We are done with analyzing line A, line B is skipped and now lets start with C.

here the line start from 0 and ends at 0.8 so it cant be the line as 0.8+0.3 yields 0.11.

so line C can't be the correct one.

Now lets consider the next line that is D.

here it starts at 0.8 and ends at 0.11 means exactly showing an increment of 0.3 also its showing a positive directions as its heading to the right.

so this is the line that correctly shows 0.8+0.3.

Now consider line E it cant be the correct line as its showing only 0 to 0.8.

and now the line that will confuse you is line G.

it starts at 0.3 and ends at 0.11 here there is increment of 0.8 though it seems like correct but it cant be the line showing 0.8+0.3 as we have to select the line that originates at 0.8 and shows an increment of 0.3 and not the one which originates at 0.3 and ends at 0.11 showing an increment of 0.8.

Also the question itself is asking 'LINE' and not 'LINES' so you can take such minute things also into Consideration for avoiding any kind of confusion.

I hope this will help  you.

Answer:

B

Step-by-step explanation:

Answer:

$20.9

Step-by-step explanation:

100%=22

95%=x

95x22=2090/100=20.9

Answer:

$20.95 (rounded)

Step-by-step explanation:

To solve this, you need to first make an equation where x is the original cost before tax. So it would be 22=1.05x. You know it is 1.05 because 1 is the "whole" original cost and 0.05 is the 5% tax in decimal form. To solve the equation, you divide both sides by 1.05 to get x=20.95

Answer:

c

Step-by-step explanation:

-10x is less than or equal to 40

x is greater than or equal to -4

flip the signs when you divide by a negative #

Answer:

The measure of ∠MCK is 45°

Step-by-step explanation:

The parameters given are;

ΔABC with hypotenuse side AB

Let AB = x

BC = y

AC = z

∴ x² = y² +  z²

∠BCM = ∠CMB  (Base angles of isosceles triangle ΔBMC)

Similarly, ∠ACK = ∠AKC (Base angles of isosceles triangle ΔKAC)

∴ ∠BCM + ∠CMB + ∠CBM = 180° (Sum of interior angles in a triangle)

Hence, 2 × ∠BCM + ∠CBM = 180°........(1)

Similarly, 2 × ∠ACK + ∠CAK = 180°......(2)

Hence, 2 × ∠BCM + ∠CBM = 2 × ∠ACK + ∠CAK

However, ∠CBM + ∠CAK + 90° = 180° (Sum of angles in right triangle ΔABC)

∴∠CBM + ∠CAK = 180° - 90° = 90°

Adding equations (1) and (2), we have;

2 × ∠BCM + ∠CBM + 2 × ∠ACK + ∠CAK = 180° + 180° = 360°

Which gives;

2 × ∠BCM + 2 × ∠ACK + ∠CBM + ∠CAK = 360°

Where;

∠CBM + ∠CAK = 90°, we have;

2 × ∠BCM + 2 × ∠ACK + 90° = 360°

∴ 2 × ∠BCM + 2 × ∠ACK = 360° - 90° = 270°

∠BCM + ∠ACK = 270°/2 = 135°

∠BCM = ∠CMB

∴ ∠CMB + ∠ACK = 135°

Also, ∠CMB = ∠CMK and ∠ACK = ∠MCK

Hence, ∠CMK + ∠MCK  = 135°

However, ∠CMK + ∠MCK + ∠MCK = 180° (Sum of interior angles in a triangle)

Which gives;

∠CMK + ∠MCK + ∠MCK = 135° + ∠MCK = 180°

∴ m∠MCK = 180° - 135° = 45°.

The measure of ∠MCK, m∠MCK = 45°.

Answer:

4 < x < 14

Step-by-step explanation:

The third side is between the difference and the sum of the other two sides

9-5 < x < 9+5

4 < x < 14

Answer:

6mph

Step-by-step explanation:

Speed = distance/time

so you would do 18/3 and you would get 6

Answer:

No, because 3(2) + 2 ≠ 12.

Step-by-step explanation:

An equation is formed of two equal expressions. Carrie has not scored 2 goals, because 3(2) + 2 ≠ 12. The correct option is B.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Given that Carrie and Kenny both play soccer. Kenny scored 3 times as many goals as Carrie. Therefore, we can write,

Number of goals scored by Carrie = x

Number of goals scored by Kenny = 3x

Now, given that Together they scored 12 goals. Therefore, the total scores can be written as,

Total score = Number of goals scored by Carrie +Number of goals scored by Kenny

12 = x + 3x

12 = 4x

x = 3

Further, the number of goals for the two can be written as,

Number of goals scored by Carrie = x = 3

Number of goals scored by Kenny = 3x = 3×3 = 9

Hence, Carrie has not scored 2 goals, because 3(2) + 2 ≠ 12.

Learn more about Equation here:

https://brainly.com/question/14686792

#SPJ2

Answer:

4 in

4√2 in

Step-by-step explanation:

Part A

Missing angle= 90°-45°=45°

Missing leg = 4 in as opposite angles are equal

Part B

According to Pythagorean theorem

Hypotenuse²= (4in)²+(4in)²= 32 in²

c=√32 in²= 4√2 in

Answer:

B

Step-by-step explanation:

Because ∠EDF and ∠BDC are vertical angles, ∠D = 9x. Since ∠ABD and ∠BDC are supplementary, our answer is 2x + 105° + 9x = 180° or B.

Answer:

B

Step-by-step explanation:

∠ BDC = 9x ( vertical angles )

∠ ABD and ∠ BDC are supplementary , thus

∠ ABD + ∠ BDC = 180 , substitute values

2x + 105 + 9x = 180 → B

Answer:

(3 x 2 x 3 x 2) + (2 x 2 x 2 x 2 x 3)

Step-by-step explanation:

36 = 6 x 6

6 = 3 x 2

36 = 3 x 2 x 3 x 2

48 = 12 x 4

12 = 3 x 4

4 = 2 x 2

48 = 2 x 2 x 2 x 2 x 3

Answer:

Subtract 6 from each side

Step-by-step explanation:

4x + 6 = 20

Subtract 6 from each side

4x + 6 -6= 20 -6

4x = 14

Answer:

[tex]subtract \: \: \: 6 \: \: \: from \: \: each \\ side \: \\ [/tex]

Step-by-step explanation:

[tex]4x + 6 = 20 \\ subtract \: \: \: 6 \: \: \: from \: \: each \\ side \: \\ 4x = 20 - 6 \\ 4x = 14 \\ \\ [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

p+q

Step-by-step explanation:

[tex]\dfrac{p^2-q^2}{p+q}\div\dfrac{p-q}{p+q}= \\\\\\\dfrac{(p-q)(p+q)}{p+q}\times \dfrac{p+q}{p-q}= \\\\\\\dfrac{(p-q)(p+q)}{p-q}= \\\\\\p+q[/tex]

Hope this helps!

Answer:

p+q

Step-by-step explanation:

We can use difference of squares to make the fractions

[tex]\frac{(p+q)(p-q)}{(p+q)} *\frac{p+q}{p-q}[/tex]

Since dividing is the same as multiplying bt the reciprocal

The (p+q) and the (p-1) cancel out so we are left with (p+q)

Answer:

Cone.

Step-by-step explanation:

From the given figure it is clear the hat is look like a solid figure, which have a circular base and single vertex, i.e., cone.

The following attributes help as to decide that the hat is a cone:

1. Hat and cone both have one vertex.

2. Hat and cone both have one circular base.

Therefore, the hat is look like cone.

Answer:

the answer is 20

Step-by-step explanation:

let the number be "x"

1st part = 2/5of x

2nd part = 1/4 of x

=) 2/5 x - 1/4 x = 3

=) lcm of 4 ,5 is 20

=) ( 2x * 4 ) - ( 1x *5) by 20 =3

=) 8x - 5x / 20 =3

=) 3x / 20 =3

=) 3x = 3 *20

=) 3x = 60

=) x = 60 /3

=) x = 20

the number is 20

Answer: 20

Step-by-step explanation:

2/5x -1/4x = 60

Multiply by 20 on both sides,

8x - 5x = 60

3x = 60

x = 60/3 = 20

Answer:

2 2/3 as an improper fraction is 8/3

8/3 × 1/4 = 2/3

Answer:6

Step-by-step explanation:

The base is 3 and the height is 4

3*4/2 = 6

Answer:

6 units^2

Step-by-step explanation:

The base (segment DE) is 3 units.

The height is 4 units. (From point F going horizontally until it intersects segment DE)

Formula for area of a triangle: (1/2)BH

(1/2)(3)(4) = (1/2)12 = 6

Answer:

Angle 2 = 40 degrees              Angle 11 = 60 degrees

Step-by-step explanation:

Start by using angle 1 to find angle 2

angle 1 is 140 + 2 is unknown = 180 degrees

140 + x = 180

-140        -140

x = 40

Angle 2 is 40 degrees

Now add together angles 2 and 9 to find the measure of angle 11

40 + 80 + x = 180

120 + x = 180

-120        -120

x = 60

Angle 11 is 60 degrees

Answer:

Angle #2 = 40 degrees              Angle #11 = 60 degrees

Step-by-step explanation:

.

Answer:

So the mean of the given data set is approximately 15.55.

Step-by-step explanation:

The mean is calculated by taking the sum of the product of each class midpoint and its corresponding frequency and dividing by the total frequency.

The midpoint of each class can be calculated as the average of the lower and upper class boundaries:

Class 0-9: Midpoint = (0 + 9) / 2 = 4.5

Class 10-19: Midpoint = (10 + 19) / 2 = 14.5

Class 20-29: Midpoint = (20 + 29) / 2 = 24.5

Now we can find the sum of the product of each midpoint and its frequency:

(4.5 * 24) + (14.5 * 20) + (24.5 * 32) = 108 + 290 + 784 = 1182

Finally, we divide this sum by the total frequency (76) to find the mean:

1182 / 76 = 15.552632

So the mean of the given data set is approximately 15.55.

Answer:

Step-by-step explanation:

Answer:

1440

Step-by-step explanation:

Volume of larger prism÷Volume of cube

that is;

Note:V=LWH

Therefore

[tex](6 \times \frac{5}{6 } \times 1 \times \frac{2}{6} ) \div ( { \frac{1}{6} })^{ 3}

= 1440[/tex]

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