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2 years ago

5х2-7x-6=0 factored form

Mathematics

1 answer:

Vinvika [58]2 years ago

8 0

Answer:

(x - 2)(5x + 3) = 0

Step-by-step explanation:

5x² - 7x - 6 = 0

Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 5 × - 6 = - 30 and sum = - 7

The factors are - 10 and + 3

Use these factors to split the x- term

5x² - 10x + 3x - 6 = 0 ( factor the first/second and third/fourth terms )

5x(x - 2) + 3(x - 2) = 0 ← factor out (x - 2) from each term

(x - 2)(5x - 3) = 0 ← in factored form

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Problem 1<br> 3x + y = –14<br> -2x-y=9

Radda [10]

Answer:

x = -5 , y = 1

Step-by-step explanation:

Solve the following system:

{3 x + y = -14 | (equation 1)

-2 x - y = 9 | (equation 2)

Add 2/3 × (equation 1) to equation 2:

{3 x + y = -14 | (equation 1)

0 x - y/3 = (-1)/3 | (equation 2)

Multiply equation 2 by -3:

{3 x + y = -14 | (equation 1)

0 x+y = 1 | (equation 2)

Subtract equation 2 from equation 1:

{3 x+0 y = -15 | (equation 1)

0 x+y = 1 | (equation 2)

Divide equation 1 by 3:

{x+0 y = -5 | (equation 1)

0 x+y = 1 | (equation 2)

Collect results:

Answer: {x = -5 , y = 1

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Answer:

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Step-by-step explanation:

angle APB is an alternate interior angle to DBC and line DB is supplementary

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3 years ago

Bob can make 7 quilts with 21 yards of material. How many yards of material would be required to make 10 quilts

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N ice cream shop uses the following ingredients to make 11 sundae. Ingredient Amount Ice cream 22 scoops Sprinkles 44 spoonfuls

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Read 2 more answers

A is an m×n matrix.Check the true statements below:A. The kernel of a linear transformation is a vector space.B. If the equation

Bess [88]

Answer:

Results are (1) True. (2) False. (3) False. (4) True. (5) True. (6) True.

Step-by-step explanation:

Given A is an $m\times n$ matrix. Let $T :U\to V$ be the corresponding linear transformationover the field F and $\theta$ be identity vector in V. Now if $x\in Ker( T)\implies T(x)=\theta$ .

(1) The kernel of a linear transformation is a vector space : True.

Let $x,y\in Ker( T)$ , then,

$T(x+y)=T(x)+T(y)=\theta+\theta=\theta\impies x+y\in Ker( T)$

hence the kernel is closed under addition.

Let $\lambda\in F, x\in Ker( T)$ , then

$T(\lambda x)=\lambda T(x)=\lambda\times \theta=\theta$

$\lambda x\in Ker(T)$ and thus Ket(T) is closed under multiplication

Finally, fore all vectors $u\in U$ ,

$T(\theta)=T(\theta+(-\theta))=T(\theta)+T(-\theta)=T(\theta)-T(\theta)=\theta$

$\implies \theta\in Ker(T)$

Thus Ker(T) is a subspace.

(2) If the equation Ax=b is consistent, then Col(A) is $\mathbb R^m$ : False

if the equation Ax=b is consistent, then Col(A) must be consistent for all b.

(3) The null space of an mxn matrix is in $\mathbb R^m$

: False

The null space that is dimension of solution space of an m x n matrix is always in $\mathbb R^n$ .

(4) The column space of A is the range of the mapping $x\to Ax$

: True.

(5) Col(A) is the set of all vectors that can be written as Ax for some x. : True.

Here Ax will give a linear combination of column of A as a weights of x.

(6) The null space of A is the solution set of the equation Ax=0.

: True

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