Solve the system of linear equations by substitution.
3x + y = -9
y=5x+7

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:

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

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:

[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: 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.

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.

Answer:

B 8a3+4a2b+2ab2+b3

Step-by-step explanation:

2PM 6is the

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:

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:

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

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:

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:

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:

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:

3

Step-by-Step explanation:

I just worked it out! Good luck :)

Step-by-step explanation:

We have Angle ZWD = Angle DWN.

=> 5v - 7 = 4v + 8, v = 15.

Therefore x = Angle ZWD = 5(15) - 7 = 68.

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:

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:

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:

3

Step-by-step explanation:

3x18>=3=3

Answer:

x < 24?

Step-by-step explanation:

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:

$8.32

Step-by-step explanation:

You just multiply 0.16 with 52

Answer:

option 1

Step-by-step explanation:

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:

Side c:

Finding the angles:

Answer:

Tangent Inverse Function

Step-by-step explanation:

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:

12

Step-by-step explanation:

1+3+4+6+6+8+9+11=48. Knowing this, we can now figure out the other side of the equation. To make both equations true, both sides must equal 48.

To this, simply divide 48 by 4.

48/4=12

Thus, your answer is 12

Answer: 12

Step-by-step explanation:

1+3+4+6+6+8+9+11 is 48 (you can double check)

48=4*X (calling x as the smiley).

Divide 4 by each side.

12=X

Answer:

no sé eres tú

Step-by-step explanation: