Write an equation of the line that passes through (-1,0) and (0,0)

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[tex] \frac{2}{9} = \frac{4}{x + 8} \\ [/tex]

[tex] \frac{4}{x + 8} = \frac{2}{9} \\ [/tex]

Inverse both sides

[tex] \frac{x + 8}{4} = \frac{9}{2} \\ [/tex]

Multiply sides by 4

[tex]4 \times \frac{x + 8}{4} = 4 \times \frac{9}{2} \\ [/tex]

[tex]x + 8 = 2 \times 9[/tex]

[tex]x + 8 = 18[/tex]

Subtract sides 8

[tex]x + 8 - 8 = 18 - 8[/tex]

[tex]x = 10[/tex]

Done...

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Answer:

Step-by-step explanation:

We are given

[tex]x^2 - 10x + 4 = 12\\[/tex]

get it all to one side equaling zero

[tex]x^2 - 10x - 8 = 0[/tex]

now, we want to find the factors of 8 that either add up to of have a difference of 10

Factors of 8:

[tex]1, 8, 2, 4[/tex]

None of the factor pairs add up to or have a difference of 10.

So, we can use the quadratic formula

[tex]x = \frac{-b\pm\sqrt{b^2-4ac} }{2a} \\x = \frac{10\pm\sqrt{100-4*8} }{2}\\x = \frac{10\pm\sqrt{132} }{2}\\\\\\x = \frac{10 + \sqrt{132} }{2}= 10.74456265\\x = \frac{10 - \sqrt{132} }{2} = -0.7445626465[/tex]

Answer:

Its 28

Step-by-step explanation:

Answer:

the answer is 28 feet.

Step-by-step explanation:

Answer:

Putting x=5 in [tex]f(x)=\{5^x\}-3[/tex] we get f(5)=3122

Step-by-step explanation:

We need to evaluate [tex]f(x)=\{5^x\}-3[/tex] when f(5)

Finding f(5) we need to put x=5

[tex]f(x)=\{5^x\}-3\\x=5\\f(5)=\{5^5\}-3\\f(5)=3125-3\\f(5)=3122[/tex]

So, f(5)=3122

Putting x=5 in [tex]f(x)=\{5^x\}-3[/tex] we get f(5)=3122

Answer:

I believe they are 5 and 7

Step-by-step explanation:

Answer:

5 and 7

Step-by-step explanation:

those numbers are used with the variable 5x and 7x

To yield the quotient, 6 has to get multiply by 3.

Simplification of an expression is the process of writing an expression in the most efficient and compact form without affecting the value of the original expression.

For the given situation,

The expression is the quotient of 3 divided by 1/6,

⇒ [tex]\frac{3}{\frac{1}{6} }[/tex]

⇒ [tex](3)(6)[/tex]

Thus multiply 3 by 6 yields the quotient.

Hence we can conclude that to yield the quotient, 6 has to get multiply by 3.

Learn more about simplification of an expression here

https://brainly.com/question/13730519

#SPJ3

Answer:

A)

Step-by-step explanation:

1. 9.48

2. 11.1

3. 5.65

4. 26.45 or 26.4

Answer:

US$1.00=EC$2.70 TT$1.00=EC$0.40 calculate the value of : 1.EC$1in TT$ 2.US$80inEC$ 3.TT$648 in US$

Step-by-step explanation:

that what i've got i hope that's helps you

Step-by-step explanation:

Principle (P) =$4500

Rate(R) =9%

Time(T)=3.5yrs

We know,

SI=P×T×R/100

=4500×3.5×9/100

=$1417.5

I tried my best and I think this is right?

Answer:

d = 4 + 6h

Step-by-step explanation:

Given that :

Travel charge = $4 flat fee

Hourly charge = $6 per hour

Amount of dollar student can earn in an evening = d

Amount of hours spent babysitting = h

d = travel charge + (hourly charge * amount of hours)

d = $4 + ($6 * h)

d = 4 + 6h

Answer:

1.) The Remainder Theorem states that if a polynomial is divided by (x – a), the remainder is the value of the function at a. So, if (x – a) is a factor of P(x), then P(a) = 0. Determine whether the given binomial is a factor of the polynomial P(x).

2.) if there is a remainder then it is not a factor

3.) x-2 divided by x^3+5x^2-2x+9        

 across you have

×

2           1 5 -2 9

+              2  14 24

__________________

          1   7   12    33

your remainder is 33 so x-2 is not a factor of x^3+5x^2-2x+9

I hope this is good enough:

Answer:

x = -3

Step-by-step explanation:

[tex]-54= 6(x-6)\\\\-9=x-6\\\\x=-3[/tex]

Answer:

x=-3

Step-by-step explanation:

-54= 6(x-6)

switch sides = 6(x-6)=-54

divide both sides by 6 =x-6=-9

add 6 to both sides = x=-3

x=-3

Answer:

8 and 4 = 8

8 and 10 = 40

Step-by-step explanation:

The least common multiple is the smallest value that both numbers equal when you look at their multiples.

The multiples of 8 are 8, 16, 24, 32, 40...

The multiples of 4 are 4, 8, 12, 16, 20, 24, 28, 32...

The multiples of 10 are 10, 20, 30, 40...

The first multiple 8 and 4 have in common is 8.

The first multiple 8 and 10 have in common is 40.

Answer:

5.248 x 10^5

Step-by-step explanation:

there should be one digit and then however many decimals after. the exponent is positive because the original number is larger than one's digit.

Answer:

f(x) = x

Step-by-step explanation:

Answer:

x=55

Step-by-step explanation:

Ok I'm not sure about the theorem I thought it was just corresponding angles theorem but to get the x value set up an equation with your given info that is equal to 120.

2x+10=120

Subtract 10 from both sides.

2x=110

Divide both sides by 2.

x=55

Answer:

The annual rate of interest is 2 %  

Step-by-step explanation:

Given as :

The investment amount = $ 3,500

The Interest earn on investment = $ 210

The time period = 3  years

Let The annual interest rate = R

From simple interest method :

Simple Interest =  

Or, 210 × 100 = 3500 × R × 3

Or, R =

Or, R =  = 2

Hence The annual rate of interest is 2 %   Answer

hope this helped :)

Answer:

B and E

Step-by-step explanation:

got it right on quiz in Edge 2020 :)

have a good day!!!

Answer:

b and e

Step-by-step explanation:

Answer:

$1.05

Step-by-step explanation:

if you do 4.20 divided by 4 you get 1.05 and to see if its right you multiply 1.05 by 4 and you get 4.20.

Answer with Explanation:

Euro is the currency of some countries in the European Union like Germany, France, Greece, Estonia, etc.

Php refers to Philippine peso. This is the currency used in the Philippines.

In order to convert Euro to Php, you have to check the value of 1 Euro in comparison to Php. The value is not stable and it fluctuates depending on the economic situation of the country.

The value of 1 Euro (€1) as of today is ₱57.03 (you can check this online or on the newspaper).

Let's say you want to convert €5 to ₱ . You can do this:

€5 x [tex]\frac{57.03 pesos}{1 Euro}[/tex] = ₱285.15 (therefore, 5 Euros is equivalent to ₱285.15)

Always remember to check the value of one currency to another currency in order to arrive at a correct equivalent.

Answer:

(a, 0) and (b, 0)

General Formulas and Concepts:

Alg I

Step-by-step explanation:

We are looking for the zeros of f(x). The blue quadratic is the graph of f(x). Zeros mean the coordinates when the graph crosses the x-axis. Therefore, our correct answer is the last choice.

Answer:

You would need to divide "14/32" by 2, since 2 in this problem is your "gcf" so:

14 / 2 = 7

32 / 2 = 16

So, it's 7/16.

Answer:

[tex]\frac{14}{32}[/tex] in its simplest form would be  [tex]\frac{7}{16}[/tex]

Step-by-step explanation:

[tex]\mathrm{Find\:a\:common\:factor\:of\:}14\mathrm{\:and\:}32\mathrm{\:in\:order\:to\:cancel\:it\:out}\:[/tex] [tex]: 2[/tex]

[tex]\mathrm{Factor\:out\:}2\mathrm{\:from\:the\:numerator\:and\:the\:denominator}\\14=2\cdot \:7\mathrm{,\:\quad }32=2\cdot \:16\\=\frac{2\cdot \:7}{2\cdot \:16}\\[/tex]

[tex]\mathrm{Cancel\:the\:common\:factor:}\:2\\=\frac{7}{16}\\\\[/tex]

hope this helps :)

Answer:

A. The measure of 6 and 3 are supplementary angles since their angle measurements add up to 180.

B.

(8y+12) + (2y+48)=180

10y+60=180

10y=120

y=12

Step-by-step explanation:

9514 1404 393

Answer:

  1: 208

  10: 296

  30: 649

Step-by-step explanation:

A scientific or graphing calculator can compute these values for you. A spreadsheet works well, too.