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Rashid [163]
3 years ago
13

X2-11x+18=0 need help!

Mathematics
2 answers:
KengaRu [80]3 years ago
6 0

Answer:

x = 2 or

x = 9

Step-by-step explanation:

x² - 11x + 18 = 0

x² - 9x - 2x + 18 = 0

x(x - 9) - 2(x - 9) = 0

(x - 2)(x - 9) = 0

x - 2 = 0 or x - 9 = 0

x = 2 or x = 9

Thus, x = 2 or 9

-<u>The</u><u>U</u><u>n</u><u>k</u><u>n</u><u>o</u><u>w</u><u>n</u><u>S</u><u>c</u><u>i</u><u>e</u><u>n</u><u>t</u><u>i</u><u>s</u><u>t</u>

yulyashka [42]3 years ago
5 0

Answer:

x = 2, x = 9

Step-by-step explanation:

Given

x² - 11x + 18 = 0

Consider the factors of the constant term (+ 18) which sum to give the coefficient of the x- term (- 11)

The factors are - 2 and - 9 , since

- 2 × - 9 = + 18 and - 2 - 9 = - 11 , thus

(x - 2)(x - 9) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 2 = 0 ⇒ x = 2

x - 9 = 0 ⇒ x = 9

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Answer:

11. (x-2)/(x+8)

12. 9+t

13. h = 2A/b

Step-by-step explanation:

11. Since x is used to represent the number, 2 less than a number is x-2. 8 more than a number is x+8. The quotient of the first and second of these is the first one divided by the second one:

... (x -2)/(x +8) . . . . . parentheses are required unless the expression is typeset:

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12. Apparently, we're to assume the salesman keeps on driving. If he had any sense (or a good union), he would stop after 9 hours. t hours added to 9 is ...

... 9 + t

13. Divide by the coefficient of h.

... h = A/((1/2)b) = 2A/b

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To create a graph from an equation, evaluate the function at different ______. Use the input-output pairs to identify and plot _
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Answer:

do you have a picture?

Step-by-step explanation:

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3 years ago
David has a loyalty card good for a 19% discount at his local hardware store. What would his total in dollars and cents be, afte
Elina [12.6K]

Discounts are used to reduce the original price of an item.

David will pay $25 and 92 cents for an item of $32, before tax

The discount (d) is given as:

d =19\%

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p = \$32

So, the amount (A) paid before tax is calculated using:

A = p \times (1 - d)

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A = \$32 \times (1 - 19\%)

Express percentage as decimal

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Read 2 more answers
Dado dos ángulos complementarios, uno mide (2x + 10) y el otro (x + 20),
rusak2 [61]

Answer:

El valor de <em>x</em> es igual a 20 o <em>x</em> = 20.

Step-by-step explanation:

Lo primero que se debe saber es que <em>dos ángulos complementarios suman un ángulo recto o 90º</em>.

Supongamos que el valor de un ángulo \\ \alpha y un ángulo \\ \beta valen:

\\ \alpha = 2x + 10 [1]

\\ \beta = x + 20 [2]

Como la suma de  \\ \alpha + \beta = 90 [3]

Entonces

\\ \alpha + \beta = (2x + 10) + (x + 20) = 90

Sumamos los factores comunes entre si:

\\ (2x + x) + (10 + 20) = 90

Para la primera expresión debemos recordar que se suman sólo los coeficientes. Así:

\\ (2 + 1)x + (10 + 20) = 90

\\ 3x + 30 = 90

Para despejar la incógnita <em>x</em>, debemos tener en cuenta que <em>una igualdad no se altera si se suma, se resta, se multiplica o divide un mismo valor a cada lado de ella</em>. Por esta razón, para despejar 3x, lo primero que podemos hacer es sumar -30 a cada lado de la expresión (lo que es igual a restar 30 a cada lado de la misma). Así tenemos:

\\ 3x + 30 - 30 = 90 - 30

\\ 3x + 0 = 90 - 30

\\ 3x = 60

Ahora dividimos cada miembro de la igualdad entre 3 (o multiplicamos cada lado de la igualdad por \\ \frac{1}{3} ):

\\ \frac{3}{3}x = \frac{60}{3}

Como sabemos que:

\\ \frac{3}{3} = 1

Entonces:

\\ 1*x = \frac{60}{3}

\\ x = \frac{60}{3}

\\ x = 20

De esta manera, el valor de <em>x</em> es igual a 20 o x = 20.

Lo anterior lo podemos comprobar considerando las ecuaciones [1], [2] y [3]. Así tenemos que:

\\ \alpha = 2x + 10 [1]

Sustituimos x por el valor de 20:

\\ \alpha = 2*20 + 10 = 40 + 10 = 50

\\ \beta = x + 20 [2]

Hacemos lo mismo para [2]:

\\ \beta = 20 + 20

\\ \beta = 40

De esta manera:

\\ \alpha + \beta = 90 [3]

\\ 50 + 40 = 90

4 0
3 years ago
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