If EF = x + 3, FG = 3x, and EG = 7, what is FG?

Answer:

x=3

Step-by-step explanation:

9514 1404 393

Answer:

D. [3 1 | -9]

   [ 1 5 | 16]

Step-by-step explanation:

The matrix of B represents the coefficients of the variables. It would generally be part of a matrix equation:

  [tex]\left[\begin{array}{cc}3&1\\1&5\end{array}\right] \left[\begin{array}{c}x\\y\end{array}\right] =\left[\begin{array}{c}-9\\16\end{array}\right][/tex]

However, the entire system of equations can be represented by the augmented matrix ...

  [tex]\left[\begin{array}{cc|c}3&1&-9\\1&5&16\end{array}\right] \qquad\textbf{matches D.}[/tex]

Answer:

x=−6 and y=7

Step-by-step explanation:

Step: Solve8x+5y=−13for x:

8x+5y=−13

8x+5y+−5y=−13+−5y(Add -5y to both sides)

8x=−5y−13

8x

8

=

−5y−13

8

(Divide both sides by 8)

x=

−5

8

y+

−13

8

Step: Substitute

−5

8

y+

−13

8

forxin3x+4y=10:

3x+4y=10

3(

−5

8

y+

−13

8

)+4y=10

17

8

y+

−39

8

=10(Simplify both sides of the equation)

17

8

y+

−39

8

+

39

8

=10+

39

8

(Add 39/8 to both sides)

17

8

y=

119

8

17

8

y

17

8

=

119

8

17

8

(Divide both sides by 17/8)

y=7

Step: Substitute7foryinx=

−5

8

y+

−13

8

:

x=

−5

8

y+

−13

8

x=

−5

8

(7)+

−13

8

x=−6(Simplify both sides of the equation)Step: Solve8x+5y=−13for x:

8x+5y=−13

8x+5y+−5y=−13+−5y(Add -5y to both sides)

8x=−5y−13

8x

8

=

−5y−13

8

(Divide both sides by 8)

x=

−5

8

y+

−13

8

Step: Substitute

−5

8

y+

−13

8

forxin3x+4y=10:

3x+4y=10

3(

−5

8

y+

−13

8

)+4y=10

17

8

y+

−39

8

=10(Simplify both sides of the equation)

17

8

y+

−39

8

+

39

8

=10+

39

8

(Add 39/8 to both sides)

17

8

y=

119

8

17

8

y

17

8

=

119

8

17

8

(Divide both sides by 17/8)

y=7

Step: Substitute7foryinx=

−5

8

y+

−13

8

:

x=

−5

8

y+

−13

8

x=

−5

8

(7)+

−13

8

x=−6(Simplify both sides of the equation)

Answer: The intersection between these 2 lines are (-6,7)

Source: Desmos Graphing Calculator (look it up its very helpful and gives answers)

Answer:

Step I: Simplify the operations inside grouping symbols. Step II: Simplify the powers. Step III: Solve multiplication and division from left to right. Step IV: Solve addition and subtraction from left to right.

Answer:

650 pieces of paper

Step-by-step explanation:

each piece is 0.0075 so all you need to do is divide 4.875 by 0.0075

Answer:

x = 16/5

Step-by-step explanation:

9x – 6 = 4x + 10 <-- Combine like terms on one side

5x = 16 <-- Isolate x

x = 16/5

Answer: 3.2

Step-by-step explanation:

(9x - 6) = 4x + 10

9x - 6 = 4x + 10

9x = 4x + 16

5x = 16

x = 3.2

Answer:

$21

Step-by-step explanation:

$20 for the 500 minutes

We still have to pay for 10 minutes.

10 cents per minute.

10centsx10 minutes.

100 cents, also known as 1 dollar.

$20 plus $1 means the answer is $21.

Hope this helps!

-AxekickNebulite

Answer:

Step-by-step explanation:

1. Slope = (y2-y1) / (x2-x1) = -3-0/ -1-4= -3/-5= 3/5 (d)

2.

Compare to the equation y= mx+b, where m is the slope

3y = 15x+9 divide by 3 each term

y = 15x/3 +9/3

y= 5x + 3 so slope is 5 ( a)

3.

use first the equation point- slope y-y1 =m (x-x1) and rearange it to be in slope-intercept form y=mx +b

y-y1 =m (x-x1)

y-2 = -3( x-1)

y = 2-3x+3

y= -3x +5 ( c)

4.

if the point y- intercept is at (0, 3) then the y-intercept is b=3

y= mx+b

y = 2x +3 (a)

5.

the equation point- slope y-y1 =m (x-x1), find the slope m= (y2-y1) / (x2-x1)

m= 3-12/ 1+2 = -9/3 = -3

y-1 = -3(x-3) is (a)

6.

y-intercept is at -4  ( yet the graph is off a bit -tell your teacher)

slope m = 1

so the equation is y=mx+b and here is y=x -4 (c)

7.

the slope is m= (y2-y1) / (x2-x1) si pich any two points from the table and calculate the slope

for example (0, 3) and (1, 0)

m = (3-0)/ (0-1) = 3/-1 = -3 (d)

1. Slope = (y2-y1) / (x2-x1) = -3-0/ -1-4= -3/-5= 3/5 (d)

2.

Compare to the equation y= mx+b, where m is the slope

3y = 15x+9 divide by 3 each term

y = 15x/3 +9/3

y= 5x + 3 so slope is 5 ( a)

3.

use first the equation point- slope y-y1 =m (x-x1) and rearange it to be in slope-intercept form y=mx +b

y-y1 =m (x-x1)

y-2 = -3( x-1)

y = 2-3x+3

y= -3x +5 ( c)

4.

if the point y- intercept is at (0, 3) then the y-intercept is b=3

y= mx+b

y = 2x +3 (a)

5.

the equation point- slope y-y1 =m (x-x1), find the slope m= (y2-y1) / (x2-x1)

m= 3-12/ 1+2 = -9/3 = -3

y-1 = -3(x-3) is (a)

6.

y-intercept is at -4  ( yet the graph is off a bit -tell your teacher)

slope m = 1

so the equation is y=mx+b and here is y=x -4 (c)

7.

the slope is m= (y2-y1) / (x2-x1) si pich any two points from the table and calculate the slope

for example (0, 3) and (1, 0)

m = (3-0)/ (0-1) = 3/-1 = -3 (d)

Answer:

0.0054054054

Also simplify to 0.005

Answer:

17÷3,145=0.00540

Answer:

1.) 6 football tickets for $24

Step-by-step explanation:

The situation which leads to a unit cost of $6 per football ticket is; 6 football tickets for $24.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. Multiplication is the mathematical operation is used to determine the product of two or more numbers.

We have been given a condition as; a unit cost of $6 per football ticket.

Meaning that;

The cost of one football ticket is 6 dollar

Then The cost of 12 football ticket  = 12 x 6 dollar

                                                  = 72

Therefore, the situation which leads to a unit cost of $6 per football ticket is; 12 football tickets for $72.

To learn more about the unitary method, please visit the link given below;

https://brainly.com/question/23423168

#SPJ5

Answer:

the expected population after 3 years is 863.7009

Step-by-step explanation:

The computation of the expected population after 3 years is shown below

P = P_0 × e^rt

where,

r = 21% = 0.21

t = 3 years

P_0 = 460

Now place these values to the above formula

P = 460 × exp(0.21 × 3)

= 863.7009

hence, the expected population after 3 years is 863.7009

We simply applied the above formula so that the correct value could come

And, the same is to be considered

Answer:

hum I think it is a bisect

Answer:

A

Step-by-step explanation:

Edge

The trigonometric functions y = arcsinx and y = arccosx have a domain of [–1, 1] option (A) is correct.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

It is given that:

The domain of a trigonometric function is [-1, 1]

As we know,

The range of the sin x and cos x functions is [-1, 1]

The inverse of the above trigonometric functions are:

arc sin x and arc cos x

The range of sin x and cos x becomes domain.

So the domain of y = arcsinx and y = arccosx is [-1, 1].

Thus, the trigonometric functions y = arcsinx and y = arccosx have a domain of [–1, 1] option (A) is correct.

Learn more about the function here:

brainly.com/question/5245372

#SPJ6

Step-by-step explanation:

h(x) = 3. g(x) + 5

x= -1 h(x) = 3×8 + 5= 29

x= 0h(x) = 3×5 + 5= 20

x= 2 h(x) = 3×1 + 5= 8

x= 5 h(x) = 3×-5 + 5= -10

[tex]h(x) = 3*g(x)+5[/tex]

When x = -1.

Substitute x = -1 in both h(x) and g(x).   | As shown in the table, when x = -1, g(x) = 8 |

h(-1) = 3*8+5 = 24+5 = 29

h(0) = 3*5+5 = 15+5 = 20

h(2) = 3*1+5 = 3+5 = 8

h(5) = 3*(-5)+5 = -15+5 = -10

Answer:

The coordinates of the image under the y-axis will be:

Step-by-step explanation:

Given the point

We know that when we reflect a point across the y-axis, the y-coordinate remains the same, but the x-axis reverses its sign.

Thus,

Rule of reflection under y-axis:

P(x, y) → P'(-x, y)

Here, P'(x, y) is the image of the P(x, y)

Given that the point

Thus, the coordinates of the image under the y-axis will be:

(x, y) → (-x, y)

a(-2, 5) → a'(-(-2), 5) = a'(2, 5)

Therefore, the coordinates of the image under the y-axis will be:

Answer: John grew 4 and 3/4 inches in one year.

Step-by-step explanation:

Start by subtracting  64.375 (64 and 3/8) by 59.625 (59 and 5/8).

Type your numbers into a calculator (both ways can be put into your calculator, but decimals are easier for you to type)

Get your final answer of 4.75.

Hope this helps!

Answer:

6.4 .

Step-by-step explanation:

this was on my test

Answer:

i think they both scored the same

Answer:

Colton did.

Step-by-step explanation:

Jack's score was 80%.

Colton got a score of 83.33...

I got Colton's score by solving 10/12.

The answer is:

8 miles

Answer:

50 degrees

Step-by-step explanation:

vertical angles are the same

angle LPM = 180-60-70

angle LPM = 180-130 = 50

angle LPM = angle KPN

50=angle KPN

Answer:

The number which should be added  with 49x square + 4y square to get a perfect square is 28xy

Step-by-step explanation:

We need to find the number which is to be added with 49x square + 4y square to get a perfect square.

The expression given is: [tex]49x^2+4y^2[/tex]

For the expression to be perfect square it should be of form: [tex]a^2+2ab+b^2=(a+b)^2[/tex]

Now, we are given [tex]49x^2+4y^2[/tex] and we need to find the middle term

So, solving:

[tex]49x^2+4y^2\\=(7x)^2+(2y)^2+2(7x)(2y)-2(7x)(2y)\\=7x^2+28xy+(2y)^2-28xy\\=(7x+2y)^2-28xy[/tex]

The number which should be added  with 49x square + 4y square ([tex]49x^2+4y^2[/tex]) to get a perfect square is 28xy

Answer:

Step-by-step explanation:

Here is a guide to help:

Best of luck!

Answer: (9,21)

Step-by-step explanation:

R180 (3,-7) = (-(3),-(-7)) = (-3,7)

D3​ (−3,7) = (3 x −3, 3 x 7) = (−9,21)

Answer:

3x4/8×4-1x2/16x2

12/32-2/32=10/32

hope it helped

Answer:

$2 per soda

Step-by-step explanation:

6/3= 2

Answer: 8

Step-by-step explanation:

hope this helped :)

Answer:

8

Step-by-step explanation:

Answer:

$1200

Step-by-step explanation:

Let the initial amount that you invested be $ x.

We are told that the new balance after investing $500 is $1760.

Thus, the balance you had before the deposit $500 us;

$1760 - $500 = $1260

So, when the amount invested was $x, the balance was $1260.

Since this money earned 5% interest on the amount you initially

Thus;

$1260 = initial deposit + (5% of inital deposit)

Thus;

x + (5% * x) = 1260

x + (0.05x) = 1260

1.05x = 1260

x = 1260/1.05

x = $1200