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3 years ago

Write the equation of the function g(x) if g(x) = f(x – 3) +1 and f(x) = x3 + 1.

1 answer:

4 0

We can find the value of f (x-3) by putting x-3 in place of x in f (x)
therefore,
f (x-3)=(x-3)3 + 1
by putting the value of f (x-3) in g (x)
g (x)= (x-3)3 + 1 +1
= (x-3)3 + 2

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Surface area of a trash can plz show work

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Answer:

Step-by-step explanation:

So first we need to find the area of the trash can so here is the math:

The formula:

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3 years ago

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3 years ago

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Lina20 [59]

Option D: Two irrational solutions

Explanation:

The equation is $17+3 x^{2}=6 x$

Subtracting 6x from both sides, we have,

$3x^{2} -6x+17=0$

Solving the equation using quadratic formula,

$x=\frac{6 \pm \sqrt{36-4(3)(17)}}{2(3)}$

Simplifying the expression, we get,

$\begin{aligned}x &=\frac{6 \pm \sqrt{36-204}}{6} \\&=\frac{6 \pm \sqrt{-168}}{6} \\&=\frac{6 \pm 2 i \sqrt{42}}{6}\end{aligned}$

Taking out the common terms and simplifying, we have,

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2 years ago

How much cashews at $1.58 per pound must be mixed with walnuts that cost 78 cents per pound to make a mixture of 40 pounds of nu

Likurg_2 [28]

Number of pounds of cashews is 36 pounds and number of pounds of walnuts is 4 pounds.

Step-by-step explanation:

Step 1: Given details are cost of cashews = $1.58, cost of walnuts = 78 cents = $0.78, total weight of nuts = 40 pounds, cost of nuts per pound = $1.50

Step 2: Let number of pounds of cashews to be mixed be C, then number of pounds of walnuts will 40 - C. Form equation with these variables.

⇒ 1.58 C + (40-C) 0.78 = 40 × 1.50

⇒ 1.58 C + 31.2 - 0.78 C = 60

⇒ 1.58 C - 0.78 C = 60 - 31.2

⇒ 0.8 C = 28.8

⇒ C = 36 pounds

Step 3: Calculate number of pounds of walnuts

⇒ Number of pounds of walnuts = 40 - C = 4 pounds

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2 years ago

Read 2 more answers

Round each factor to the nearest ten to estimate the product of 34 . 39

aev [14]

Answer:

Round 34 down to 30 then round 39 up to 40

Step-by-step explanation:

34 ⟶ 30 34 is rounded down to 30

39 ⟶ 40 39 rounded up to 40

34 ⟶ 30

39 ⟶ 40

34 is rounded down to 30

39 rounded up to 40

Calculate mentally 34 × 39 = 1326

The estimated product is 1326.

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2 years ago