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Alborosie
2 years ago
5

If r(X)=2-x^2 and w(X)=X-2, what is the range of (w*r)(X)

Mathematics
2 answers:
slega [8]2 years ago
8 0
The given function are
r(x) = 2 - x²    and     w(x) = x - 2
<span>(w*r)(x) can be obtained by multiplying the both function together
</span>
So, <span>(w*r)(x) = w(x) * r(x) = (x-2)*(2-x²)</span>
<span>(w*r)(x) = x (2-x²) - 2(2-x²)</span>
            = 2x - x³ - 4 + 2x²

∴ <span>(w*r)(x) = -x³ + 2x² + 2x - 4
</span>

<span>It is a polynomial function with a domain equal to R
</span>
The range of <span>(w*r)(x) can be obtained by graphing the function
</span>
To graph (w*r)(x), we need to make a table between x and (w*r)(x)

See the attached figure which represents the table and the graph of <span>(w*r)(x)
</span>

As shown in the graph the range of <span>(w*r)(x) is (-∞,∞)
</span>

gladu [14]2 years ago
5 0
Answer is a on e2020
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Use circle C<br><br> classify arc MNO in circle C
inna [77]

Answer:

Semicircle

Step-by-step explanation:

As we can see, the arc is bounded by the chord MO

since the chord passes through the center of the circle, we have it that the chord is a diameter

Mathematically, an arc bounded by a diameter represents half of a circle

So we can conclude that the arc MNO in circle C is a semicircle

5 0
2 years ago
The average of 4, 9, 16, 25 and x is 2x. What is the value of x? A) 4 B)6 A)9 C)9 D)12
Elodia [21]
The average of 4, 9, 16, 25 and x is 2x means that;
(4+9+16+25+x)/5=2x
Multiply both side by 5
5(54+x)/5=2x(5)
54+x=10x
Subtract x to both side
54+x-x=10x-x
54=9x
Divided 9 to both side
54/9=9x/9
x=6
Check:
Substitute x with 6
(4+9+16+25+x)/5=2x
(4+9+16+25+6)/5=2(6)
60/5=12
12=12; so x=6 which marks B as the correct answer. Have a nice day!
5 0
2 years ago
Plz help me with these 2 problems I really need it and I need to know how you to the answer so I can show my work
ELEN [110]

Answer:

13.) 0.19625    15.) 37.68

Step-by-step explanation:

Formula for area of a circle: A=πr²

13.) 3.14 x .25² = 0.19625

Formula for circumference for a circle: C=πD  or C=2πr

15.) (6 x 2) x 3.14 = 37.68

Hope this helped :  )

7 0
3 years ago
To finance her education, Sarah takes out a loan for $4000. After a year Sarah decides to pay off the interest which is 4% of $4
mel-nik [20]
Hope this makes more sense it’s all in the photo! ❤️

7 0
3 years ago
The length of sides of triangular fields are 10m, 24m and 26m. A farmer grows flowers in this field. If 5kg flowers can be obtai
Ostrovityanka [42]

Answer:

Area: 120m²

Flowers: 600kg

Step-by-step explanation:

we can use Heron's formula to solve for the area.

Heron's formula:

Area of triangle = \sqrt{ s(s-a)(s-b)(s-c)}

s = 1/2 (a+b+c)

s = 1/2 (10 +24+26)

s = 30

Area of triangle

=\sqrt{30(30-10)(30-24)(30-26)} \\=120m^{2}

Since every 1 m² of area can grow 5kg of flowers,

the yield of flowers will be:

120 x 5

=600kg

7 0
2 years ago
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