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2 years ago

The solution to x2 – 10x = 24 is

Mathematics

2 answers:

Marat540 [252]2 years ago

8 0

Answer:

x = - 2, x = 12

Step-by-step explanation:

Given

x² - 10 x = 24 ( subtract 24 from both sides )

x² - 10x - 24 = 0 ← in standard form

To factorise the quadratic

Consider the factors of the constant term (- 24) which sum to give the coefficient of the x- term (- 10)

The factors are - 12 and + 2, since

- 12 × 2 = - 24 and - 12 + 2 = - 10, thus

(x - 12)(x + 2) = 0

Equate each factor to zero and solve for x

x - 12 = 0 ⇒ x = 12

x + 2 = 0 ⇒ x = - 2

Levart [38]2 years ago

8 0

Answer:

12 or -2

Step-by-step explanation:

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The table shows the relationship between the number of minutes Rodney spends practicing playing the piano p, and the number of m

vagabundo [1.1K]

Answer-

The equation that describes the pattern is,

$\boxed{\boxed{y=2{x}+30}}$

Solution-

P = Number of minutes Rodney spends practicing playing the piano

G = Number of minutes Rodney spends practicing playing the guitar

Taking P on x axis and G on y axis, the points are,

$(0,30),(15,60),(30,90),(45,120)$

Taking first two points i.e $(0,30),(15,60)$ , the line equation will be,

$\Rightarrow \dfrac{y-y_1}{y_2-y_1}=\dfrac{x-x_1}{x_2-x_1}$

$\Rightarrow \dfrac{y-30}{60-30}=\dfrac{x-0}{15-0}$

$\Rightarrow \dfrac{y-30}{30}=\dfrac{x}{15}$

$\Rightarrow 15(y-30)=30{x}$

$\Rightarrow y-30=2{x}$

$\Rightarrow y=2{x}+30$

Putting the other two points i.e $(30,90),(45,120)$ in the equation, they also satisfy the equation. That means they are also on the same line $y=2{x}+30$ .

From the result, it is evident that P and G are linearly related.

3 0

3 years ago

Justine and Meagan played a trivia game. Justine answered a question incorrectly and lost 7 points. Then Meagan answered correct

Nataliya [291]

Answer:

$m = -j$ , or in this case, $m=-(-7)$

Step-by-step explanation:

Assuming that Justine's score is represented by $j$ and Meagan's score is represented by $m$ , we know that $j$ will always be the opposite of $m$ .

To represent opposite, we put a negative sign before the variable.

This makes the current number, even if it's negative, the opposite value.

Let's test it out.

Since Justine's score is -7, substituting it into the equation makes it $m=-(-7)$ . We know that two negatives make a positive, so $m=7$ .

Now let's assume Justine's score is 7. Plugging it into the equation, we get $m=-(7)$ . That's the same thing as $m = -1(7)$ , and -1 times 7 is -7.

Hope this helped!

8 0

3 years ago

What is the value of f(3)?

Anni [7]

Answer:

-12

Step-by-step explanation:

Note that when x < 6, you will use the expression -4x

f(x) = -4x

Plug in 3 for x

f(3) = -4(3)

Simplify. Multiply

f(3) = -4(3)

f(3) = -12

-12 is your answer

5 0

2 years ago

1kg= 2.2 pounds Change 44 pounds in kg

Lyrx [107]

Answer:
44 pounds = 20 kg

Explanation:
We are given that:
1 kg = 2.2 pounds

To convert 44 pounds into kg, all we have to do is cross multiplication as follows:
1 kg .................> 2.2 pounds
?? kg .................> 44 pounds

Now, we solve as follows:
4 kg = $\frac{44*1}{2.2} = 20$ pounds

Hope this helps :)

4 0

3 years ago

Una pared rectangular tiene un perímetro de 48 metros. El largo de la pared es el doble del ancho. ¿Cuántos metros cuadrados de

AveGali [126]

Datos:
Perímetro = 48m
Ancho = x
Largo = 2x
Área = (2x)(x)

Ecuación:
2x + 4x = 48
6x = 48
x = 48/6
x = 8

Sustitución:
Área = [2(8)](8)
Área = (16)(8)
Área = 128

Respuesta: Se necesitarán 128 metros cuadrados de papel decorativo

4 0

2 years ago