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3 years ago

HELP MEEEE!!!!!!!!!!!!!!!!

Mathematics

2 answers:

Alexxx [7]3 years ago

6 0

The answer is x is less than or equal to 3. the first answer choice

Dmitry [639]3 years ago

5 0

4x+6 ≤ 18
Subtracting 6 both sides
4x≤12
dividing by 4 both sides
∴x≤3

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Annie is sledding down a snow-covered hill. She knows that the steeper the hill, the faster her sled will go.A. The amount of sn

Rufina [12.5K]

D is the correct answer.

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2 years ago

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Someone help me please

artcher [175]

Answer:

205

Step-by-step explanation:

u just gotta read the question and know what it says

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3 years ago

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A worker’s pay for one week was $312. She worked 39 hours. How much was she paid per hour?

Volgvan

To find out how much she earned hourly, all we need to do is divide 312 and 39

312 ÷ 39 = 8

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2 years ago

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A piece of cardboard measures 10 ft by 10 ft. Four equal squares of size x are removed from the corners. After removing the squa

Gnesinka [82]

Answer:

The value of x would be $\frac{5}{3}$

Step-by-step explanation:

Given,

The dimension of the cardboard = 10 ft by 10 ft,

∵ After removing four equal squares of size x ( in ft ) from the corners,

The dimension of the resultant box would be,

Length = ( 10 - 2x ) ft,

Width = ( 10 - 2x ) ft,

Height = x ft,

The volume of box,

$V=(10-2x)\times (10 - 2x)\times x=x(10-2x)^2 = x(100 - 40x + 4x^2)=100x - 40x^2 + 4x^3$

Differentiating with respect to x,

$V'=100 - 80x + 12x^2$

Again differentiating with respect to x,

$V''=-80 + 24x$

For maxima or minima,

$V'=0$

$\implies 100 - 80x + 12x^2 = 0$

$\implies 3x^2 - 20x + 25=0$

By quadratic formula,

$x=\frac{20\pm \sqrt{20^2-4\times 3\times 25}}{6}$

$x=\frac{20\pm \sqrt{400 - 300}}{6}$

$x=\frac{20\pm \sqrt{100}}{6}$

$x=\frac{20\pm 10}{6}$

$\implies x = \frac{10}{6}=\frac{5}{3}\text{ or } x = 5$

For x = 5/3, V'' = negative,

While for x = 5, V'' = Positive,

Hence, the value of x would be 5/3 ft for maximising the volume.

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3 years ago

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nikdorinn [45]

Answer would be 24 hope this is right

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2 years ago

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