Solve for t.
7+ 4t 5t + 17
=
t =

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:

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:

6.4 .

Step-by-step explanation:

this was on my test

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:

$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:

3x4/8×4-1x2/16x2

12/32-2/32=10/32

hope it helped

Answer:

I WAS BORN TO FLEX DIMONDS ON MY NECK I LIKE MORNING CHECKS I LIKE MORING S**

Step-by-step explanation:

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:

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:

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.

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The value of f(20) is 3 feet  , and the value of f(140) is 3.5 feet .

In the question ,

the graph represents a function which gives the distance of a dog from a post (in feet ) ,

to find, f(20) which means the distance of the dog from the post after 20sec .

As we can see from the graph that at t=20 sec the distance from post (in feet ) is 3feet .

which means f(20) = 3feet .

Also from the graph we see that at t=140 sec the distance from post (in feet ) is 3.5 feet .

which means f(140) = 3.5 feet .

Therefore , the value of f(20) is 3 feet  , and the value of f(140) is 3.5 feet .

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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)

Step-by-step explanation:

area of rectangle= x ( x +2 ) = 24

X2 + 2X = 24

X 2 +2X _24 = 0

(X +6 ) ( X _4 ) = 0

X= 4

X= - 6.......refused

side length of rectangle is 4 , 6

perimeter= 2( 4+6) = 20 Cm

The side lengths are 4cm , 6cm and perimeter of rectangle is 20cm.

The perimeter of a rectangle is the sum of its four sides. Hence,

Perimeter of Rectangle = 2 (Length + Width) units.

The area of the space occupied within the perimeter of a rectangle is called the area of a rectangle. It is calculated by finding the product of the length and breadth of the rectangle.

Area of rectangle = Length * Breath

According to the question

Area of a rectangle =  24 square centimeters

Side length  = x+ 2

Side Breath  = x  

Now,

a>  using Formula of Area of rectangle

Area of rectangle = Length * Breath

substituting the value

24 = x * (x+2 )

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

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

[tex]x^{2} + (6-4)x -24 =0[/tex]

(x +6 ) (x-4) = 0

x = -6 , +4

side cannot be negative

Therefore

Breath  of rectangle (x) = 4 cm

Length of rectangle (x+2) = 6 cm

b> Perimeter of the rectangle  = 2 (Length + Breath) units.

substituting the value

Perimeter of the rectangle  = 2 ( 4 + 6 )  

                                               = 20 cm

Hence, The side lengths are 4cm , 6cm and perimeter of rectangle is 20cm.

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Answer:

A) 2/15

Step-by-step explanation:

So just divide it normally, do keep change flip

2/3*1/5

2/3 keep

divison change

Denomeinator, flip it, 5 to 1/5

now multiply

2/15

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:

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:

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:

The absolute change is 10,414

Step-by-step explanation:

To get the absolute change, we simply use the mathematical formula below

Absolute change = New value - Original value

From the question, the new value is 18,108 while the original value is 28,522

So the absolute change will be;

28,522-18,108 = 10,414

Answer:

x=3

Step-by-step explanation:

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:

0.0054054054

Also simplify to 0.005

Answer:

17÷3,145=0.00540

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.

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

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:

B

Step-by-step explanation:

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: -2 is a no. -9 is a yes. 2 is a no. -8 is a no.

Step-by-step explanation: