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Rom4ik [11]
3 years ago
7

If a(x)=2x-4 and b(x) =x+2, which of the following expressions produces a quadratic function?

Mathematics
1 answer:
ZanzabumX [31]3 years ago
5 0

Answer:

(ab)(x)

Step-by-step explanation:

The complete question in the attached figure

we have

a(x)=2x-4\\b(x)=x+2

we know that

(ab)(x) is equal to the product of a(x) and b(x)

so

(ab)(x)=(2x-4)(x+2)

Applying distributive property

(ab)(x)=2x(x)+2x(2)-4(x)-4(2)

(ab)(x)=2x^2+4x-4x-8

(ab)(x)=2x^2-8

This is a quadratic equation

The other expressions not produce a quadratic equation

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A quadrilateral has exactly one right angle and two nonadjacent angles that each measure 105 degrees
LiRa [457]

Answer:

C) Kite

Step-by-step explanation:

The problem states that the polygon is a quadrilateral, meaning it has 4 sides. This rules out D, as pentagons have 5 sides. Our next clue is that this shape has <em>only one </em>right angle, ruling out A and B, because, by definition, rectangles and squares must have four 90 degree angles. We can already see that we are left with only one choice, but to confirm: a kite has 2 opposite angles of 105 degrees, like the problem states.

Therefore, the answer is C) Kite

Hope this helps!

8 0
3 years ago
Christopher read 4 books in 2 months. What was his rate of reading in books per<br> month?
dangina [55]
Christopher read 2 books each month which mean 4 books in 2 months
8 0
3 years ago
N-7=sqrt(n+5)<br> Solve the following equation for all the values of y.
Ray Of Light [21]

Step-by-step explanation:

hope this helps. n=6 or n=9 work is in the attached pic

7 0
2 years ago
Use the alternative form of the dot product to find u · v.
vodka [1.7K]

Answer:

Step-by-step explanation:

u = 45

v = 30

Angle between them, θ = 5π / 6 = 150°

(a) The formula for the dot product is given by

\overrightarrow{u}.\overrightarrow{v}= u v Cos\theta

\overrightarrow{u}.\overrightarrow{v}= 45 \times 30 \times Cos150

\overrightarrow{u}.\overrightarrow{v}= -1169.13

(b) \overrightarrow{u}=Cos\frac{\pi }{3}\widehat{i}+Sin\frac{\pi }{3}\widehat{j}

\overrightarrow{u}=0.5\widehat{i}+0.866\widehat{j}

\overrightarrow{v}=Cos\frac{2\pi }{3}\widehat{i}+Sin\frac{2\pi }{3}\widehat{j}

\overrightarrow{v}=-0.707\widehat{i}+0.707\widehat{j}

Let the angle between them is θ

The formula in terms of the dot product is given by

Cos\theta =\frac{\overrightarrow{u}.\overrightarrow{v}}{u v}

u=\sqrt{0.5^{2}+0.866^{2}}=1

v=\sqrt{-0.707^{2}+0.707^{2}}=1

Cos\theta =\frac{0.5 \times (-0.707) + 0.866 \times 0.707)}{1\times 1}

Cos\theta=0.2587

θ = 75°

(c) \overrightarrow{u}=1\widehat{i}+4\widehat{j}+8\widehat{k}

u=\sqrt{1^{2}+4^{2}+8^{2}}=9

Cos\alpha =\frac{1}{9}

Cos\beta =\frac{4}{9}

Cos\gamma  =\frac{8}{9}

7 0
3 years ago
Can you guys please help me I'm confused on this.
In-s [12.5K]

Answer:

5

Step-by-step explanation:

i dont know

7 0
2 years ago
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