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Margarita [4]
3 years ago
15

How do I evaluate the function f(x)=3x-2 when x=-1?

Mathematics
1 answer:
inessss [21]3 years ago
8 0
F(x)=(3(-1))-2 so the answer is 5
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Please look at photo and ignore already selected answer
navik [9.2K]

Answer:

Question (A) firgue b is pallorgram

Question ( B) Only A is a rentengle

Question (C) is already right

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
From a thin piece of cardboard 30 in. by 30 in., square corners are cut out so that the sides can be folded up to make a box. Wh
Brilliant_brown [7]

Answer:

Dimensions 5in x 10in x 10in will yeild a box with a max. volume of  500 cubic inches

Step-by-step explanation:

Volume =  height x length x width

considering 'x' as the length of the square corners that has been cut out from the cardboard and also, that is height of the cardboard box.

square corners are cut out so that the sides can be folded up to make a box, cardboard sides would reduce by 2x

therefore,

V = x  (30-2x) (30-2x) ---> eq(1)

V=( 30x - 2x²) (30-2x)

V= 900x- 60x² - 60x² + 4x³

V=  4x³ - 120 x²+ 900x

Taking derivative w.r.t 'x'

dV/dx = 12x² - 240 x +900

dV/dx = 4 (3x² - 60x +225)

For maximum dV/dx, make it equal zero

dV/dx = 0

so,  4 (3x² - 60x +225)=0

3x² - 60x+225=0   (taking 3 common)

x² - 20x + 75 =0

Solving this quadratic equation

x² - 15x -5x + 75 =0

x(x-15) - 5(x-15) =0

Either (x-15)=0

x=15

Or x-5=0

x = 5

if we substitute x=15 in eq(1), volume becomes zero.

therefore, x cannot be 15

When x= 5

eq(1)=>V = 5  (30-2(5)) (30-2(5))

V= 5 (10) (10)

V= 500 cubic inches,

Therefore, Dimensions 5in x 10in x 10in will yeild a box with a max. volume of  500 cubic inches

7 0
3 years ago
Finding the original price given the sale price and percent...
bulgar [2K]

Answer:

$325

Step-by-step explanation

78% is 234

x is 100%

cross multiply

\frac{234}{72} = \frac{x}{100}

234 × 100 = 72x

23400 = 72x

23400÷72 =72x ÷72

325 = x

4 0
3 years ago
Anna has $430. She wants to buy a phone that costs $275. Anna will also have to pay a sales tax of 7%.
ki77a [65]
19.25 (tax)
294.25 (total price)
135.75 (money left)

REASONING:

In this word problem it says Anna has 430 dollars. The phone costs 275 dollars. It also says that when she buys the phone, she will have to pay a tax of 7%.

To find how much tax she will pay, we must do [275] x [0.07]

After inputting this into a calculator, you will get 19.25 (tax)


To find the total price, all you have to do is add 19.25 to 275. When you do this, you will get 294.25 dollars (total price)


To find how much money she has left,

430-294.25=135.75 (money left)

5 0
3 years ago
Which sentence can represent the inequality 3. 5 x greater-than-or-equal-to 7? The sum of 3. 5 and a number is greater than 7. T
Anni [7]

Answer:  The product of 3. 5 and a number is greater than or equal to 7.

Step-by-step explanation:

6 0
2 years ago
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