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2 years ago

What does 1) x2 – 5x – 14 = 0 equals?

Mathematics

1 answer:

LuckyWell [14K]2 years ago

7 0

Answer:

Step-by-step explanation:

x^2 - 5x - 14 = 0
x^2 - ( 7 - 2 )x - 14 = 0
x^2 - 7x + 2x - 14 = 0
x ( x - 7 ) + 2(x - 7) = 0
(x + 2) (x - 7) = 0
x = -2 and 7

<h3>Hope it helps !!</h3>

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Solve the system by using a matrix equation (Picture provided)

Katyanochek1 [597]

Answer:

Option b is correct (8,13).

Step-by-step explanation:

7x - 4y = 4

10x - 6y =2

it can be represented in matrix form as $\left[\begin{array}{cc}7&-4\\10&-6\end{array}\right] \left[\begin{array}{c}x\\y\end{array}\right] = \left[\begin{array}{c}4\\2\end{array}\right]$

A= $\left[\begin{array}{cc}7&-4\\10&-6\end{array}\right]$

X= $\left[\begin{array}{c}x\\y\end{array}\right]$

B= $\left[\begin{array}{c}4\\2\end{array}\right]$

i.e, AX=B

or X= A⁻¹ B

A⁻¹ = 1/|A| * Adj A

determinant of A = |A|= (7*-6) - (-4*10)

= (-42)-(-40)

= (-42) + 40 = -2

so, |A| = -2

Adj A= $\left[\begin{array}{cc}-6&4\\-10&7\end{array}\right]$

A⁻¹ = $\left[\begin{array}{cc}-6&4\\-10&7\end{array}\right]$ / -2

A⁻¹ = $\left[\begin{array}{cc}3&-2\\5&-7/2\end{array}\right]$

X= A⁻¹ B

X= $\left[\begin{array}{cc}3&-2\\5&-7/2\end{array}\right] *\left[\begin{array}{c}4\\2\end{array}\right]$

X= $\left[\begin{array}{c}(3*4) + (-2*2)\\(5*4) + (-7/2*2)\end{array}\right]$

X= $\left[\begin{array}{c}12-4\\20-7\end{array}\right]$

X= $\left[\begin{array}{c}8\\13\end{array}\right]$

x= 8, y= 13

solution set= (8,13).

Option b is correct.

3 0

3 years ago

Si 4x= 5/6y entonces 5y=

Hunter-Best [27]

Answer:

$5y=24x$

Step-by-step explanation:

<em>The question in English is</em>

If 4x= 5/6y then 5y=

we have

$4x=\frac{5}{6}y$

Solve for 5y

Multiply both sides by 6

$6*4x=(6)*\frac{5}{6}y$

Simplify

$24x=5y$

Rewrite

$5y=24x$

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3 years ago

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VladimirAG [237]

Answer:

Step-by-step explanation:

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3 years ago

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dedylja [7]

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OUT OF 32 STUDENTS IN A CLASS, 5 SAID THEY RIDE THEIR BIKES TO SCHOOL. BASED ON THESE RESULTS, HOW MANY OF THE 800 STUDENTS IN

svet-max [94.6K]

Let, the total number of students in school that ride the bike to school be "x"
Now,
Using ratio and proportion, we get,
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So, out of 800 students, 125 ride their bike to school.

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3 years ago

What does 1) x2 – 5x – 14 = 0 equals?​

What does 1) x2 – 5x – 14 = 0 equals?