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vovikov84 [41]
3 years ago
8

\begin{aligned} &f(t)=\dfrac{2t+7}{t-3} \\\\ &h(n)=-2n^2-3n+1 \end{aligned} ​ f(t)= t−3 2t+7 ​ h(n)=−2n 2 −3n+1 ​ f(h(-1

))=f(h(−1))=
Mathematics
1 answer:
IrinaVladis [17]3 years ago
6 0

Answer:

f(h(-1))=-11

Step-by-step explanation:

Given:

\begin{aligned} &f(t)=\dfrac{2t+7}{t-3} \\\\ &h(n)=-2n^2-3n+1 \end{aligned}

We want to determine the value of f(h(-1))

First, we evaluate h(-1)

h(-1)=-2(-1)^2-3(-1)+1 =-2+3+1\\h(-1)=2

Therefore: f(h(-1))=f(2)

f(2)=\dfrac{2(2)+7}{2-3}\\=\dfrac{4+7}{-1}\\=-11

Therefore: f(h(-1))=-11

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7. Diana took 2 hours to cycle from town X to town Y. Her average speed was 10 kilometers per
motikmotik

Answer:

a.) 20 kilometers

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Step-by-step explanation:

a.) formula= speed =distance/time

Speed= 10km/hr

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Therefore from formula, distance=speed x time

10 x 2

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b.) If average speed is increased by 2km/hr then

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F(x+h) = (x+h)² + 3(x+h)^3<br><br> How would I distribute this?
Leno4ka [110]

Answer:

f(x + h) = 3x³ + x² + 9h²x + 3h³ + h² + 9hx² + 2hx

General Formulas and Concepts:

  • Order of Operations: BPEMDAS
  • Distributive Property
  • Expand by FOIL (First Outside Inside Last)
  • Combining like terms

Step-by-step explanation:

<u>Step 1: Define function</u>

f(x) = x² + 3x³

f(x + h) is x = x + h

<u>Step 2: Simplify</u>

  1. Substitute:                              f(x + h) = (x + h)² + 3(x + h)³
  2. Expand by FOILing:               f(x + h) = (x² + 2hx + h²) + 3(x + h)³
  3. Rewrite:                                  f(x + h) = (x² + 2hx + h²) + 3(x + h)²(x + h)
  4. Expand by FOILing:               f(x + h) = (x²+2hx+h²) + 3(x² + 2hx + h²)(x+h)
  5. Distribute/Expand:                 f(x + h) = (x²+2hx+h²) + 3(x³+3hx²+3h²x+h³)
  6. Distribute 3:                            f(x + h) = (x²+2hx+h²)+(3x³+9hx²+9h²x+3h³)
  7. Combine like terms:               f(x + h) = 3x³+x²+9h²x+3h³+h²+9hx²+2hx
3 0
2 years ago
Item Cost
natima [27]
So cost=(# of items) times (Price per item)
necklace=48 bbeads and 1 charm
1  bead=0.05
charm=0.45
so we multiply
necklace=48(0.05)+1(0.45)
necklace=2.4+0.45
necklace=2.85




bracelet=25 beads and 4 charms
bracelet=25(0.05)+4(0.45)
bracelet=1.25+1.8
bracelet=3.05







necklace=$2.85
bracelet=$3.05


4 0
3 years ago
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