HELP AYUDA ✋
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what is the constant of proportionality for the graph shown below?
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/pls pls pls​

Answer:

The ordered pairs of [tex]p(x) = x^{2}-2\cdot x -35[/tex] are [tex](r_{1}, p(r_{1})) = (-5, 0)[/tex] and [tex](r_{2},p(r_{2})) = (7,0)[/tex], respectively.

Step-by-step explanation:

Let be [tex]p(x)[/tex] a quadratic expression whose two real zeros are real, a value of [tex]x[/tex] is a zero of the expression when [tex]p(x) = 0[/tex]. The factored form of the expression is represented by [tex]p(x) = (x-r_{1})\cdot (x-r_{2})[/tex], where [tex]r_{1}[/tex] and [tex]r_{2}[/tex] are the zeroes of the polynomial.

If [tex]p(x) = x^{2}-2\cdot x -35[/tex], then the ordered pairs that represent the zeros are:

[tex](r_{1}, p(r_{1})) = (-5, 0)[/tex] and [tex](r_{2},p(r_{2})) = (7,0)[/tex]

Quadratic equation has a leading coefficient of the second degree. The ordered pairs of the quadratic equation are (-5,0) and (7,0).

A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers.

It is written in the form of ax²+bx+c.

As the factors of the quadratic equation are given, therefore, equating the factors with zero in order to get the value of x.

[tex](x+5)=0\\x = -5[/tex]

[tex](x-7)=0\\x = 7[/tex]

Now, if we see the quadratic equation or the function it is written as,

[tex]y = x^2-2x-35 \\\\ x^2-2x-35 = 0[/tex]

Therefore, the value of y is 0.

Thus, the ordered pairs of the quadratic equation are (-5,0) and (7,0).

Learn more about Quadratic Equation:

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Answer:

Step-by-step explanation:

If a number gets increased by scale factor = k

Then k > 1

If the number gets decreased by a scale factor 'k'

Then 0 < k < 1

Let numbers gets increased by the scale factor = 2,

And decreased by the scale factor = [tex]\frac{1}{2}[/tex]

Numbers             Scale up by 2           Scale down by [tex]\frac{1}{2}[/tex]

   0.05                  0.05 × 2 = 0.1             0.05 × [tex]\frac{1}{2}[/tex] = 0.025

    [tex]\frac{1}{2}[/tex]                        [tex]\frac{1}{2}\times 2 = 1[/tex]                      [tex]\frac{1}{2}\times \frac{1}{2}=\frac{1}{4}[/tex]

    7                       7 × 2 = 14                     7 × [tex]\frac{1}{2}[/tex] = 3.5

   13                      13 × 2 = 26                  [tex]13\times \frac{1}{2}=6.5[/tex]

   25                     25 × 2 = 50                 [tex]25\times \frac{1}{2}=12.5[/tex]                

  102                   102 × 2 = 204              [tex]102\times \frac{1}{2}=51[/tex]

Answer:

What???

Step-by-step explanation:

Cant see it?????

Answer: The slope of the line is 12 and One point on the line is (4,5)

Step-by-step explanation: Point-slope form is written like this: Given a point (a, b) on a line and m being slope , y-b = m(x-a)

Answer:

ans 7

Step-by-step explanation:

given

10_i=3

10_i_3=0

7=i

i=7

Answer:

Yes, they are equivalent

Step-by-step explanation:

15 months= 1.25 years

60/2.5= 24

30/1.25 = 24

Answer:

Step-by-step explanation:

Since 2.5 years equals 2.5(12)=30months you have

60cm/30mo and 30cm/15mo these are equivalent because (2/2)(30/15)=60/30

Answer:

OKW similar to triangle OJP using Angle Angle

Step-by-step explanation:

Given

See attachment for triangles

Required

Prove their similarity

From the attachmen:

[tex]\angle JPO = \angle OWK = 90[/tex]

Also:

[tex]\angle O = \angle O[/tex] for both triangles i.e. reflexive property

Hence:

OKW similar to triangle OJP by AA i.e. Angle Angle

Answer:

C. y=3/x

Step-by-step explanation:

hope this helps, sorry if I am wrong

Step-by-step explanation:

✧ [tex] \underline{ \underline{ \large{ \tt{S \: O \: L \: U \: T \: I \: O \: N}}}} : [/tex]

~Set up an equation and solve for x :

→ [tex] \large{ \tt{10x + 45 \degree = 75 \degree + 70 \degree}}[/tex] [ Exterior angle is always equal to the sum of two non-adjacent interior angles ]

Add the numbers : 75° & 70°

→ [tex] \large{ \tt{10x + 45 \degree = 145 \degree}}[/tex]

Since we want to get rid of the constant in the left hand side , subtract 45 from both sides :

→ [tex] \large{ \tt{10x + 45 \degree - 45 \degree= 145 \degree - 45 \degree}}[/tex]

→ [tex] \large{ \tt{10x \: \cancel{ + 45 \degree} \: \cancel{ - 45 \degree} = 100 \degree}}[/tex]

→ [tex] \large{ \tt{10x = 100 \degree}}[/tex]

~Divide both sides by 10

→ [tex] \large{ \tt{ \frac{10x}{10} = \frac{100}{10}}} \degree[/tex]

→ [tex] \large{ \tt{x = 10 \degree}}[/tex]

⟿ [tex] \boxed{ \boxed{ \large{ \text{Our \: Final \: Answer} : \underline{ \bold{ \tt{x = 10 \degree}}}}}}[/tex]

Hope I helped ! ツ

Have a wonderful day / night ! ♡

☄Let me know if you have any questions regarding my answer !

♪ [tex] \underline{ \underline{ \mathfrak{Carry \: On \: Learning}}}[/tex] !! ✎

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Answer:

2.59

Step-by-step explanation:

Divide $54.39 by 21.

Answer:

Step-by-step explanation:

Given that

Find the price per gallon.

21/1 = 54.39/price

price = 54.39/21

price per gallon = $2.59 (two Dollars and fifty nine cents)

____________________

#IndonesianPride - kexcvi

Step-by-step explanation:

Simplify the equation to find the value of a.

Subtract 4a from both sides:

[tex] - 3a - 15 = - 3[/tex]

Add 15 to both sides:

[tex] - 3a = 12[/tex]

Divide each side by -3:

[tex]a = - 4[/tex]

Answer:

[tex]5^{12}[/tex]

Step-by-step explanation:

Lets say there's a number 'x' and there's an expression [tex](x^a)^b[/tex] where 'a' & 'b' are also numbers , the simplified form of the expression is [tex]x^{a \times b}[/tex].

So ,

[tex](5^4)^3 = 5^{4 \times 3} = 5^{12}[/tex]

Answer:

P'(7,-3)

Q'(3,-1)

R'(7,-1)

Step-by-step explanation:

Switch signs of y-value when reflecting across x-axis.

Switch signs of x-value when reflecting across y-axis.

Hope this helped!

Here's link to the answer:

tinyurl.com/wpazsebu

Step-by-step explanation:

[tex]tan = \frac{opposite}{adjacent} [/tex]

tan(tetha) = DC/1 ( here 1 bc as they said, an arc circe w/ radius (OB) 1

Answer:

78

Step-by-step explanation:

im not sure but i think is 78

60+18=78

sorry

Answer:sorry its c

Step-by-step explanation:

The mean value of Keisha’s data is 1.333333.

The mean is the average of a set of variables in mathematics and statistics. There are several methods for computing the mean, including the simple arithmetic mean (add up the numbers and divide the total by the number of observations),

We have the data,

0, 1, 0, 2, 2, 1, 3, 0, 4, 0, 1, 2.

So, the mean value of data is

= (0 +1 + 0 + 2 + 2 + 1 + 3 + 0 + 4 + 0 + 1 + 2)/12

= 16/12

= 4/3

= 1.33333

Learn more about Mean here:

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#SPJ2

Answer:

113.04

π×6^2 is the solution of this

Answer:

area = 113.1 m²

Step-by-step explanation:

area = PiR²

area = (Pi)(6²) = 113.1 m²

Answer:

288 cm^3

Step-by-step explanation:

Answer:

2:48

Step-by-step explanation:

48 minutes passed and he went outside at 2:00 im not sure what they mean by write it in 2 ways though

[tex](4x^2)+99-4x(16x)\\=4x^2+99-64x^2\\=-60x^2+99[/tex]

Is this what you want???

Answer:

It is 39.3

Step-by-step explanation:

You find the circumference using the formula 2πr so you get 20π.

and then you multiply that by 225/360 bc 360 is how much the whole circle is and the 225 part is the part you want to solve.

So 20π*225/360 is about 39.3

Answer:

Each sandwich costs 4$.

Step-by-step explanation:

To find the answer we will divide 72$ by 18 and we get 4$.

The number of sandwiches and the total price of sandwiches are directly proportional.

Cost of 18 sandwiches = $72

Cost of 1 sandwich = $72/18

= $4

Hence the cost of 1 sandwich is $4.

Answer:

No b/c the hypotenuse is too short

Step-by-step explanation:

13² + 15² = 19²

169 + 225 = 361

394 ≠ 361

Answer:

7

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

Answer:

tan ∅ = 15/8

Step-by-step explanation:

tan ∅ = 15/8

Answer: The simplification is [tex]5*a^{-9}*b^{-9}[/tex]

Step-by-step explanation:

Here we need to use the property:

[tex]\frac{a^n}{a^m} = a^{n - m}[/tex]

We have the expression:

[tex]\frac{25*a^{-5}*b^{-8}}{5*a^{4}*b}[/tex]

We can separate it in parts with the same base, then we can rewrite this as:

[tex]\frac{25*a^{-5}*b^{-8}}{5*a^{4}*b} = \frac{25}{5} \frac{a^{-5}}{a^4} \frac{b^{-8}}{b}[/tex]

Using the first property we can rewrite this as:

[tex]\frac{25}{5} \frac{a^{-5}}{a^4} \frac{b^{-8}}{b} = 5*a^{-5 - 4}*b^{-8 - 1} = 5*a^{-9}*b^{-9}[/tex]

Answer:

n = - 6

Step-by-step explanation:

Given

- 6n - 5 = 31 ( add 5 to both sides )

- 6n = 36 ( divide both sides by - 6 )

n = - 6

Answer:

n= -6

Step-by-step explanation:

-6n=31+5

-6n=36

n=36÷-6

n= -6