If a number is tripled and then subtracted from 28, the result is 3 more than twice the number. What is the number?

A)x=5
B)x=31
C)x=6
D)x=4

Answer:

Option C is correct answer.

Step-by-step explanation:

We need to draw the graph of piece wise function

[tex]f(x)\[ \begin{cases} -2-x & if\:x\leq 1 \\ -3+2x & if\: x>1 \end{cases}\][/tex]

So, for drawing the graph, we will find values of f(x) for both the given equations.

First finding f(x) for [tex]-2-x \:\: if\:x\leq1[/tex]

The value of x must be less than or equal 1

x       f(x)

1        -3

0       -2

-1       -1

-2       0

-3       1

-4       2

The graph will start from closed circle because x ≤ 1

Now, finding values of f(x) for [tex]-3+2x\: if\:x>1[/tex]

The value of x must be greater than 1

x        f(x)

2        1

3        3

4        5

5        7

The graph will start from open circle because x> 1

Now, plotting these numbers we will get graph of Option C.

Option C is correct answer.

Answer:

15

Step-by-step explanation:

So point j is the midpoint of both of the diagonals in the parallelogram.

That means that JE=GJ

So the answer is 15

Answer:

no sé eres tú

Step-by-step explanation:

Answer:

[tex]\mathrm{C)\:}x=15,\:-7[/tex]

Step-by-step explanation:

For [tex]|a-b|=c[/tex], there are two possible cases:

[tex]\begin{cases}a-b=c\\a-b=-c\\\end{cases}[/tex]

Solving for both cases, we get:

[tex]\begin{cases}x-4+6=17, \:x+2=17, \: \fbox{$x=15$}\\-(x-4)+6=17,\: -x+10=17, \: -x=7, \:, \fbox{$x=-7$}\\\end{cases}[/tex]

Answer:

6.5

Step-by-step explanation:

calculator

Answer:

7 is the smallest integer value

plz brainliestt

Step-by-step explanation:

4x>_ 26

x>_6.5

Answer:

y-4=5

add 4 on both sides

you get y = 9

replace y with 9

9 - 4 = 5

final answe is 5=5

Answer:

the answer is discrete

this is because Jude's debt is increasing over time, and his debt is increasing because his friend keeps on handing him $5 every weekend

Step-by-step explanation:

Answer:

Side c:

Finding the angles:

Answer:

3

Step-by-Step explanation:

I just worked it out! Good luck :)

Answer:

option 1

Step-by-step explanation:

Answer:

I don't know the answer but you can type it in on demos

Answer:

The value of x = 0

Step-by-step explanation:

Got a 5/5 on Plato

Answer:

The quadratic equation representing the area of the rectangular television screen is [tex]x^2 +24x-3456=0[/tex].

Height of the rectangular television screen [tex]=48[/tex] inches, and the width of the rectangular television screen [tex]= 72[/tex] inches.

Step-by-step explanation:

Given: The area of a rectangular television screen is [tex]3456\: in^{2}[/tex]. The width of the screen is [tex]24[/tex] inches longer than the height.

To find: The quadratic equation that represents the area of the screen, and what are the dimensions of the screen?

Solution:

Let the height of rectangular television screen be [tex]x[/tex] inches, then width of the rectangular screen be [tex](x+24)[/tex] inches.

Now, we know that area of a rectangle  [tex]= \text{length}\times\text{width}[/tex].

As per question,

[tex]x(x+24)=3456[/tex]

[tex]\implies x^{2} +24x=3456[/tex]

[tex]\implies x^2+24x-3456=0[/tex]

So, the quadratic equation representing the area of the rectangular television screen is [tex]x^2 +24x-3456=0[/tex].

Now, to find the dimensions, we need to solve [tex]x^2 +24x-3456=0[/tex].

[tex]x^2 +24x-3456=0[/tex]

[tex]\implies x^2 -48x+72x-3456=0[/tex]

[tex]\implies x(x-48)+72(x-48)=0[/tex]

[tex]\implies (x-48)(x+72)=0[/tex]

[tex]\implies x-48=0[/tex]  or [tex]x+72=0[/tex]

[tex]\implies x=48[/tex] or [tex]-72[/tex]

Since, [tex]x[/tex] is the height of the rectangular television screen, and height cannot be negative. So, height of the television is [tex]48[/tex] inches, and width of the television screen is [tex]48+24=72[/tex] inches.

Hence,  the quadratic equation representing the area of the rectangular television screen is [tex]x^2 +24x-3456=0[/tex].

Height of the rectangular television screen [tex]=48[/tex] inches, and the width of the rectangular television screen [tex]= 72[/tex] inches.

Answer:

3

Step-by-step explanation:

3x18>=3=3

Answer:

x < 24?

Step-by-step explanation:

Answer:

The sequence is:

5, 14, 23, 32

Step-by-step explanation:

We know that an Arithmetic sequence with a₁ and the commo difference 'd' has the nth term such as:

aₙ = a₁ + (n-1)d

Given the arithmetic sequence

5, _____, ______, 32

here:

a₁ = 5

n = 4

aₙ

so substituting a₁ = 5, n = 4 and aₙ = 32 in the nth term

aₙ = a₁ + (n-1)d

32 = 5 + (4-1)d

32 = 5 + 3d

3d = 32-5

3d = 27

divide both sides by 3

3d/3 = 27/3

d = 9

Therefore, the common difference: d = 9

Determining the 2nd term:

Using the formula

aₙ = a₁ + (n-1)d

substitute n = 2, a₁ = 5, d = 9

a₂ = 5 + (2-1)9

a₂ = 5 + 1(9)

a₂ = 5 + 9

a₂ = 14

Determining the 3rd term:

Using the formula

aₙ = a₁ + (n-1)d

substitute n = 3, a₁ = 5, d = 9

a₃ = 5 + (3-1)9

a₃ = 5 + 2(9)

a₃ = 5 + 18

a₃ = 23

Thus, the sequence becomes:

5, 14, 23, 32

No it is not equivalent

Answer: yes

Step-by-step explanation:

Given:

The vertices of the rectangle ABCD are A(-3,4), B(-1,4), C(-1,-1) and D(-3,-1).

It is reflected over the line x=2.

To find:

The vertices of the image A'B'C'D'.

Solution:

If a figure is reflected over the line x=a, then

[tex](x,y)\to (-(x-a)+a,y)[/tex]

[tex](x,y)\to (-x+a+a,y)[/tex]

[tex](x,y)\to (-x+2a,y)[/tex]

The rectangle ABCD is reflected over the line x=2. So, the rule of reflection is

[tex](x,y)\to (-x+2(2),y)[/tex]

[tex](x,y)\to (-x+4,y)[/tex]

Using this rule, we get

[tex]A(-3,4)\to A'(-(-3)+4,4)[/tex]

[tex]A(-3,4)\to A'(3+4,4)[/tex]

[tex]A(-3,4)\to A'(7,4)[/tex]

Similarly,

[tex]B(-1,4)\to B'(5,4)[/tex]

[tex]C(-1,-1)\to C'(5,-1)[/tex]

[tex]D(-3,-1)\to D'(7,-1)[/tex]

The vertices of image are A'(7,4), B'(5,4), C'(5,-1) and D'(7,-1).

Note: All options are incorrect or not in proper format.

9514 1404 393

Answer:

Step-by-step explanation:

We presume the question is equivalent to asking for the factors of the trinomial. We notice that y is a factor of every term, so ...

  volume = y(y² +6y -16)

Now, we're looking for factors of -16 that have a sum of +6.

  -16 = (-1)(16 = (-2)(8) = (-4)(4)

The factors -2 and 8 have a sum of +6, so we can factor the trinomial completely as ...

  volume = y(y -2)(y +8)

The possible dimensions are y-2, y, and y+8.

Answer:

244.92mm

Step-by-step explanation:

if we say circumference=2*pi*r then we have circumference=2*3.14*39=244.92

so to find the circumferene the formula is pi r 2

a= 3.14 x 39 x 2

a= 244.92 (my teacher tells us to round it to the decimal place of the question, if your teacher says that too here's the answer 245mm)

sorry i took long i selpt while doin this

Answer: No C

Step-by-step explanation:

The x values of the coordinates cannot repeat.

Using a straight line test, a straight line can be drawn vertically on the x axis point of 4.

Answer:

110 degrees

Step-by-step explanation:

The sum of all the interior angles of a polygon is always equal to 180(n-2) where n is the number of sides. In this figure, there are 7 sides. This means that the sum of all the interior angles is 180(7-2) = 180 * 5 = 900.

Now, add up all the angles that you know and subtract that from 900 to find the value of x.

900 - (105 + 150 + 140 + 135 + 125 + 135) = 900 - 790 = 110 degrees

Answer:

B 8a3+4a2b+2ab2+b3

Step-by-step explanation:

2PM 6is the

Answer:

x-intercept(s):  ( 4 3 , 0 ) y-intercept(s):  ( 0 , 6 )

Step-by-step explanation:

Step-by-step explanation:

5x+2y =4

5x= 4-2y

x= 4-2y/5

Answer: 150 wpm

Step-by-step explanation:

if he reads 1,500 words in 10 minutes, then we simply divide 1500 by 10, in order to get how many words that he can read in one minute.

1500/10 = 150

Answer:

16) The ratios [tex]\frac{5}{27},\frac{3}{16.2}[/tex] are proportional.

17) The ratios [tex]\frac{34}{9},\frac{25}{7}[/tex] are not proportional.

Step-by-step explanation:

we need to determine if the ratios form the proportions.

16) [tex]\frac{5}{27},\frac{3}{16.2}[/tex]

If the ratios are proportional, their cross product will be equal. i.e. [tex]\frac{a}{b}=\frac{c}{d}[/tex]

So, finding cross product and checking:

[tex]\frac{5}{27}=\frac{3}{16.2}\\5(16.2)=3(27)\\81=81[/tex]

Since the cross product is equal i.e. 81=81 so, the ratios are proportional.

The ratios [tex]\frac{5}{27},\frac{3}{16.2}[/tex] are proportional.

17) [tex]\frac{34}{9},\frac{25}{7}[/tex]

If the ratios are proportional, their cross product will be equal. i.e.

[tex]\frac{a}{b}=\frac{c}{d}\\ad=cb[/tex]

So, finding cross product and checking:

[tex]\frac{34}{9}=\frac{25}{7}\\7(34)=25(9)\\238\neq 225[/tex]

Since the cross product is not equal i.e. 238≠225 so, the ratios are not proportional.

The ratios [tex]\frac{34}{9},\frac{25}{7}[/tex] are not proportional.

Answer:

$8.32

Step-by-step explanation:

You just multiply 0.16 with 52

Answer:

Option B

Step-by-step explanation:

Let's understand this problem in a simpler way,

If two points P and R represent the numbers as,

P = 2 and R = - 4

Then distance between these points will be,

P - R = -4 - 2  Or R - P = 2 - (-4)

        = -6 Or R - P = 6

        = ±6

But the distances are always positive so 6 will be the answer.

That's why we represent the distances between two points as,

|P - R| (Absolute value of the difference)

Option B is the answer.

Answer:

1.998 km

Step-by-step explanation:

From the question, we know that:

When he gets off the bus, he has to walk a further 2000mm. In total, he travels 2.5km.

We convert 2000 mm to km

1 mm =1 × 10^-6 km

2000mm = x

2000mm × 1 × 10 ^-6km

= 0.002km

Subtracting this from the total distance

2.5km - 0.002 km

= 2.498 km

1 metre = 0.001 kilometre

We convert

He walks 500m to the bus stop, he then gets on the bus.

1 metre = 0.001 kilometre

We convert 500 m to km

1 m = 0.001 km

500m = x

x = 500 × 0.001

= 0.5 km

Subtracting this from the current distance, the distance he travelled on the bus is:

2.498km - 0.5km

= 1.998 km

Therefore, he travelled 1.998 km on the bus

Answer:

Tangent Inverse Function

Step-by-step explanation:

Answer:

stage 1 -280

stage 2 -220

stage 3 -160

stage 4 - 100

it takes 6 stages to return to the surface.

Step-by-step explanation: