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3 years ago

) Which statements about -3 and -7 are true? Choose ALL the correct answers.

Mathematics

1 answer:

trasher [3.6K]3 years ago

6 0

Answer: -3 is greater than -7 and the absolute value of -3 is less than the absolute value of -7.

Step-by-step explanation:

For NEGATIVE numbers, the closer the value is to 0, the greater it is. -3 is closer to 0 than -7 is, so -3 is greater than -7. For POSITIVE numbers, the further away the number is from 0, the greater it is. The absolute value of -3 is 3 and the absolute value of -7 is 7, and 7 is farther away from 0 than 3 is. So, the absolute value of -3 is less than the absolute value of -7. Hope this helps!

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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.

8 0

3 years ago

PLEASE HELP ME!!!!

Contact [7]

The equation of a line that passes through (x1,y1) and has a slope of m is
y-y1=m(x-x1)

find slope

slope between (x1,y1) and (x2,y2) is
(y2-y1)/(x2-x1)
given
(-3,2) and (2,1)
slope=(1-2)/(2-(-3))=(-1)/(2+5)=-1/5

pikc a point
if we pick (-3,2)
(x1,y1)
x1=-3
y1=2

y-2=-1/5(x-(-3))
y-2=-1/5(x+3)
that is D

5 0

3 years ago

Which represents the value of Point C on the number line?

Semmy [17]

1 represents the value of Point C on the number line.

4 0

2 years ago

Read 2 more answers

Please help :( Im desperate

ki77a [65]

Answer:

(2,4)

Step-by-step explanation:

When graphed the lines intersect at point (2,4) which is the solution.

8 0

2 years ago

your customer count for last week was 5417. Due to a product promotion you expect a 2.4% increase this week over last week. how

Sauron [17]

The answer would be 5547
First you multiply 5417 and 2.4% to get 130.008
Then you add 130.008 and 5417 to get 5547.008
but you can round this to 5547
Hope this helped! :)

6 0

3 years ago