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Roman55 [17]
3 years ago
15

Select the correct difference. 5d 2 + 4d - 3 less 3d 2 - 2d + 4

Mathematics
1 answer:
katen-ka-za [31]3 years ago
5 0
<span>5d^2 + 4d - 3 - (3d^2 - 2d + 4)
=</span>5d^2 + 4d - 3 - 3d^2 +  2d - 4
= 2d^2 + 6d - 7
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For f(x) = 4x +1 and g(x) = x2 - 5, find (g/f) (x).
Softa [21]

Answer:

\left(g/f\right)\left(x\right)=\frac{x}{4}-\frac{1}{16}-\frac{79}{16\left(4x+1\right)}

Step-by-step explanation:

f(x)=4x+1

g\left(x\right)=x^2\:-\:5

As

(g/f)(x) = g(x) / f(x)

            =\:\frac{x^2\:-\:5}{4x+1}\:\:\:\:\:\:

            =\frac{x}{4}+\frac{-\frac{x}{4}-5}{4x+1}

              =\frac{x}{4}-\frac{1}{16}+\frac{-\frac{79}{16}}{4x+1}

               =\frac{x}{4}-\frac{1}{16}-\frac{79}{16\left(4x+1\right)}

Therefore,

\left(g/f\right)\left(x\right)=\frac{x}{4}-\frac{1}{16}-\frac{79}{16\left(4x+1\right)}

8 0
3 years ago
Oceanside Bike Rental Shop charges fourteen dollars plus seven dollars an
astra-53 [7]
The answer is 5 hours
5 0
3 years ago
A pound of blueberries costs $3
Irina-Kira [14]

Answer:

$6.87

Step-by-step explanation:

For the blueberries we multiply 3.98 with .6 pounds to get 2.39

We do the same for the other item 2.49 X 1.8 = 4.48

Total the two for the answer:

2.39 + 4.48 = 6.87

3 0
3 years ago
Find all zeros of ƒ(x) = 2x^4 – 72x^2. Then determine the multiplicity at each zero. State whether the graph will touch or cross
AleksandrR [38]

Answer: See below

Step-by-step explanation:

<u>To find the factor,</u>

f(x) = 0

\begin{aligned}&2 x^{4}-72 x^{2}=0 \\&2 x^{2}\left(x^{2}-36\right)=0 \\&x^{2}\left(x^{2}-36\right)=0 \\&x \times x \times(x-6) \times(x+6)=0 \\&\mathrm{x}=0,0,6,-6\end{aligned}

<u>So,</u>

x = 0 multiplicity 2

x = -6 multiplicity 1

x = 6 multiplicity 1

For an even multiplicty, the graph touches the x-axis, and for an odd multiplicty, the graph crosses the x-axis

<u>Therefore,</u>

x = 0 multiplicty 2, Touch

x = -6 multiplicty 1, Cross

x = 6 multiplicty 1, Cross

7 0
2 years ago
Equivalent ratios for 8:28​
Tpy6a [65]

Answer:

8                :                 28

x2                                   x2

          16:56

Step-by-step explanation:

4 0
3 years ago
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