LeRoy cut a length of string into 30
pieces, all the same length. If each
piece of string was 13 inches long, how long was the string before he cut it?

Answer:

See image

Step-by-step explanation:

Simple way: The cost of three items is given. Divide by 3 to find the cost of one item.

Next level: write a proportion by comparing like quantities (compare things that are the same in the same order)

Cost/numbers of items = Cost/number of items

We know all but one piece of information:

4.76/3 = x/1

Solve for x to find the price of one carton.

In the original equation, x is a variable, hence f(x). If that term in the parenthesis changes, such as to 0 or -2, we will plug in that number in place of the current variable.

f(0) = 4(0)^2 + 3 = 0 + 3 = 3

f(-2) = 4(-2)^2 + 3 = 4(4) + 3 = 16 + 3 = 19

Hope this helps! :)

Answer:

1/4 or .25

Step-by-step explanation:

You cross multiply which would give you 4x=1.

Answer:

r = -28/9

Step-by-step explanation:

use slope formula of (y₂-y₁) / (x₂-x₁)

5/9 = [r - (-2)] / [-7 - (-5)]

5/9 = (r+2) /-2

cross-multiply to get:

-2(5) = 9(r+2)

-10 = 9r + 18

-28 = 9r

r = -28/9

Answer:

y=2(x+5)^2-4.

Step-by-step explanation:

By solving a little bit, we get the vertex to be (-5, -4). Plugging the info given and the vertex into the vertex form, we get y=2(x+5)^2-4. You have a happy holiday season, too!

Answer: slope (m) = -2

Step-by-step explanation:

y-3=-2(x+5)

put it into y=mx+b

use PEMDAS-Parantheses, Exponents, Mult. Div. Add. Sub. for your order of operations.

first, parantheses.

-2(x+5)

-2 times x = -2x

-2 times 5 = -10

your new equation is y-3 = -2x-10

now, to get y by itself, cancel out the -3 by adding a positive 3 to both sides.

you final equation will be y=-2x-7

in the form y=mx+b, m is your slope.

therefore, -2 is your answer, or slope.

Answer:

y=6+8

y=14

Step-by-step explanation:

y=14 is the answer to this question

Answer:

13/6 or 2 1/6 is a fraction and is rational number, so yes it is rational

Answer:

2 lines are used fro their respected two centers one Is vertical or one is horizontal it's dice into 4 squares

Answer:

$237.50

Step-by-step explanation:

5/100=.05

250•.05=12.5

250-12.5=237.50

Answer:

Draw a straight line through these two points (0, 0) and (1, 3).

Step-by-step explanation:

"Proportional relationship" implies line or curve that goes through the origin; there is no "y-intercept" in this case.  

Plot a dot at (0, 0).  Next, move your pencil point 1 unit to the right (you'll end up at (1, 0), and then move it from there up to (1, 3).  Draw a straight line through these two points (0, 0) and (1, 3).

Answer: 49/30 or, 1 19/30

Answer:y=4x+4

Step-by-step explanation:

Step-by-step explanation:

1- 2x(x -4)

2- 3x(2-3x)

3- 4x²(3x-1)

z²-2i=0

Answer:

Solution given:

z⁴=-4

doing square root on both side

[tex]\sqrt{z⁴}=\sqrt{2²*-1}[/tex]

we know i²=-1

substituting i² we get

z²=[tex]\sqrt{2²*i²}[/tex]

z²=2i

z²-2i=0 is a required answer. where

z² and 2 is real number.

Answer:

  z = {-1 -i, -1 +i, 1 -i, 1 +i}

Step-by-step explanation:

Using Euler's formula, we can write the equation as ...

  z^4 = 4e^(i(π +2πn)) . . . . . . where n is any integer

Then the 4th root is ...

  z = (√2)e^(i(π +2πn)/4 = (√2)e^(i(π/4 +nπ/2)) . . . . . for n = 0–3

  z = √2(cos(π/4+nπ/2) +i·sin(π/4 +nπ/2)) . . . . . for n = 0–3

  z = ±1 ±i

  z = {1 +i, -1 +i, -1 -i, 1 -i}

_____

Additional comment

Values of n are only needed in the range 0–3, because the answers repeat for values other than those.

Answer:

A. 4

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

slope:1

y-intercept:(0,0

Answer:

x = -1 and x = 8.1

See image

Step-by-step explanation:

If you are allowed to use your graphing calculator, the directions "solve by graphing" means to graph the equations and look for the points where the two graphs intersect (cross) or if allowed, use an online graphing utility such as Desmos. It is really useful. If you may not use a calculator or desmos, then sketch a graph of the functions. Using transformations can help you sketch a graph fairly quickly. You should be memorizing the shape of the graph in its simplest form

y=sqrt x

And

y=|x|

Transformations then reflect, shrink or stretch, and shift sideways or up or down the graph. This is only if you're not allowed to graph it using technology. Remember that the solution is where the graphs cross. ...a little bit tricky: the answers only give the x value instead if two ordered pairs.

Answer:

8:10

Step-by-step explanation:

8 parts for brown sugar and 10 parts flour.

In simplest, 4:5 (divide 8 and 10 by 2)

Answer:96

Step-by-step explanation:

Answer:

x = 45°, y= 5°

Step-by-step explanation:

x = 9y

90+2x = 180

2x = 90

x = 45

so x = 45

9y = 45

y = 5

Answer:

  5π, about 15.708 units

Step-by-step explanation:

A 3-4-5 triangle is a right triangle. When a circle circumscribes a right triangle, the hypotenuse is the diameter of the circle. The circumference of a circle is given by ...

  C = πd

For a diameter of 5 units, the circumference is ...

  C = π(5) = 5π = 15.708 . . . units

_____

Additional comment

The (3, 4, 5) triple is one of the first Pythagorean triples you run across. It is the smallest integer triple, and the only primitive triple with values in an arithmetic sequence. You can show this is a Pythagorean triple by ...

 3² + 4² = 9 +16 = 25 = 5²

That is, these numbers satisfy the Pythagorean theorem relation for sides of a right triangle.

Answer:

cant see

Step-by-step explanation:

Answer:

54 km/h

Step-by-step explanation:

use s=½(u+v)t

600=½(x+x+12)10

600=½(2x+12)10

600=(2x+12)5

600=10x+60

540=10x

x=54 km/h

I think this is how to do it, I'm so sorry if I do it wrong!

[tex](i)\\\\2A = \begin{pmatrix}3x \times 2 & 1 \times 2 & 5 \times 2\\0\times 2 & 2x \times 2 & -3 \times 2\end{pmatrix} = \begin{pmatrix}6x & 2 & 10\\0 & 4x & -6\end{pmatrix}\\\\\\(ii)\\\\2A + B = C\\\\\implies \begin{pmatrix}6x & 2 & 10\\0 & 4x & -6\end{pmatrix} + \begin{pmatrix}y & 0 & -4\\1 & -3y & 2\end{pmatrix} = \begin{pmatrix}31& 2 & 6\\1 & 17& -4\end{pmatrix}[/tex]

[tex]\implies \begin{pmatrix}6x+y & 2+0 & 10-4\\0+1 & 4x-3y & -6+2\end{pmatrix} = \begin{pmatrix}31 & 2 & 6\\1 & 17& -4 \end{pmatrix}\\\\\\\implies \begin{pmatrix}6x+y & 2 & 6\\1 & 4x-3y & -4\end{pmatrix} = \begin{pmatrix}31 & 2 & 6\\1 & 17& -4 \end{pmatrix}\\\\\text{System of equations},\\\\6x +y =31,~~ 4x -3y = 17\\\\\\(iii)\\\\6x +y-31 =0 \\\\4x-3y -17=0\\\\\text{Solving by cross multiplication method}\\\\\\\dfrac x{1(-17) - (-31)(-3)} = \dfrac y{4(-31) - 6(-17)} = \dfrac 1{6(-3) - 4(1)}[/tex]

[tex]\implies \dfrac{x}{-17 -93} = \dfrac{y}{-124 +102} = \dfrac 1{-18-4}\\\\\\\implies -\dfrac{x}{110} = -\dfrac{y}{22} = -\dfrac 1{22}\\\\ \implies \dfrac{x}{110} = \dfrac{y}{22} = \dfrac 1{22}\\\ \\\text{Hence,}\\\\\\x=\dfrac{110}{22}=5,~~~~ y= \dfrac{22}{22} =1[/tex]

Answer:

  (i)

  [tex]2A=\left[\begin{array}{ccc}6x&2&10\\0&4x&-6\end{array}\right][/tex]

  (ii) 6x+y=31; 4x-3y=17

  (iii) (x, y) = (5, 1)

Step-by-step explanation:

The matrix 2A is written by multiplying each element of A by 2.

  [tex]2A=\left[\begin{array}{ccc}6x&2&10\\0&4x&-6\end{array}\right][/tex]

__

Variables are seen in elements (1, 1) and (2, 2) of the matrices A and B, so the simultaneous equations can be chosen from those elements of the equation 2A+B=C.

__

A graphing calculator shows the solution to be (x, y) = (5, 1).

Answer:

114

x_shun

jdebh

jejeu

Answer:

A.-4x^2y^4

that the answer

Step-by-step explanation:

If you swim 575 yards in 3 days, you swim 575 yards.

If you swim 575 yards per day for 3 days, then you swim 3 × 575 yd = 1725 yd

Answer in the pic hope it helps