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GrogVix [38]
2 years ago
9

Help please.............................................

Mathematics
2 answers:
frozen [14]2 years ago
8 0

Answer:

Second option

( - 7x + 4)( - 7x - 4)

Step-by-step explanation:

If you multiply it out you get:

49 {x}^{2}  + ( - 7x \times - 4)   + ( - 7x  \times  4)- 16

The two middle terms cancel out because of the sign difference of the two fours.

Result:

49 {x}^{2}  - 16

Difference of squares. If the two multiplied brackets look exactly the same except for a sign difference in one of the terms (4 in this case) it is difference of squares.

BaLLatris [955]2 years ago
5 0

Answer:

B.

Step-by-step explanation:

(-7x + 4)(-7x - 4)

= 49x^2 - 28x + 28x - 16

= 49x^2 - 16.

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Stephen factored x2−10x 21 and found the answer to be (x 7)(x 3). Is he correct? Question 4 options: yes no.
STALIN [3.7K]

The true statement is that Stephen's factored expression is incorrect.

Given

The expression is given as:

\rm x^2-10x+21

<h3>What is factorization?</h3>

Factorization involves splitting a function into factors.

Start by expanding the equation

\rm x^2-10x+21=0\\\\x^2-7x-3x+21=0

Factorize the equation

\rm x^2-7x-3x+21=0\\\\x(x-7)-3(x-7)=0

Factor out x - 7

\rm x(x-7)-3(x-7)=0\\\\(x-7)(x-3)=0

Hence, the true statement is that Stephen's factored expression is incorrect.

Read more about factored expressions at:

brainly.com/question/11579257

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If a map shows the straight-line distance between two cities as 3.5 centimeters, and the map scale shows that 1 centimeter equal
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Mark the vertex and graph the axis of symmetry of the function.<br><br>f(x) = (x – 2)2 – 25
Y_Kistochka [10]

Answer:

Vertex (2 , -25)

Axis of symmetry: x = 2

Step-by-step explanation:

<h3>Vertex of parabola:</h3>

 The vertex is the highest point if the parabola open downwards and the lowest point if the parabola opens upward.

 f(x) = (x - 2)² - 25

The given quadratic function  is in vertex form.

 f(x)  = a(x - h)² + k

Here,  (h , k) is the vertex of the parabola.

 h = 2  ; k = -25

\sf \boxed{\bf Vertex (2 , -25)}

<h3>Axis of symmetry:</h3>

 The axis of symmetry is the vertical line that divides the parabola into two equal halves and it passes through the vertex of the parabola.

Axis of symmetry: x = h

  \sf \boxed{\bf  x = 2}

4 0
2 years ago
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