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2 years ago

Solve for x: 2(x-3)+5=4-7(2x-1)

Mathematics

1 answer:

Marat540 [252]2 years ago

3 0

Solve for x by simplifying both sides of the equation , then isolating the variable
your answer is x=3/4

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20 POINTS!!! PLZ ANSWER!! On the moon, the time, in seconds, it takes for an object to fall a distance, d, in feet, is given by

scoundrel [369]

Answer:

Part a) $f(2)=1.57\ sec$

It takes 1.57 seconds for an object to fall a distance of 2 feet

Part b) see the explanation

Part c) $2,165.43\ sec$

Step-by-step explanation:

Let

f(d) -----> the time in seconds it takes for an object to fall

d -----> distance in feet

we have

$f(d)=1.11\sqrt{d}$

Part a): Determine f(2) and explain what it represents

we know that

f(2) represent the time in seconds it takes for an object to fall a distance of 2 feet

For $d=2\ ft$

substitute in the function above and solve for f(2)

$f(2)=1.11\sqrt{2}$

$f(2)=1.57\ sec$

therefore

It takes 1.57 seconds for an object to fall a distance of 2 feet

Part b) The imbrium basin is the largest basin on the moon. A reasonable domain for the height above the lowest point in the basin is given by {d|0 ≤ d ≤ 3805774}

What does this tell you about the basin?

The height of the basin is greater than or equal to 0 ft and less than or equal to 3,805,774 ft

The maximum height of the basin is 3,805,774 ft

Part c) How long would it take a rock to drop from the rim to the bottom of the basin?

we know that

The distance from the rim to the bottom of the basin is equal to the maximum height of the basin

$d=3,805,774\ ft$

substitute the value of d in the function f(d)

$f(d)=1.11\sqrt{3,805,774}$

$f(d)=2,165.43\ sec$

3 0

3 years ago

Harper goes to a store an buys an item that costs x dollars. She has a coupon for 30% off, and then a 6% tax is added to the dis

iragen [17]

Not enough information- the coupon will only be worth 24% after tax though.

5 0

2 years ago

Read 2 more answers

Can someone please read this?? I keep trying to but I get distracted!

Alex

Answer:

it translates to something i can't say on here ;)

5 0

2 years ago

Help please! I’m giving brainliest to however gets this question right.

Arisa [49]

Answer:

They both have area 4

Step-by-step explanation:

Area of the square:

$base*height = 2 * 2 = 4$

Area of the triangle:

Using the left-side of the triangle as the base, and the height from the left-side to the bottom-right corner:

$\frac{1}{2}base*height$

$\frac{1}{2}4\sqrt2*\sqrt2=4$

We know the length of the diagonal is $\sqrt2$ as we are using a centimetre grid, so we can create an isosceles triangle with side lengths 1 and our unknown length, we can then use Pythagorean Theorem to work out our unknown side length.

$a^2+b^2=c^2$

$1^2+1^2=c^2$

$2=c^2$

$\sqrt2=c$

7 0

3 years ago

100 points!! Brainliest if correct!!

Elena-2011 [213]

surface area (S) of a right rectangular solid is:

S = 2*L*W + 2*L*H + 2*W*H (equation 1)

where:

L = length

W = width

H = height

-----

you have:

L = 7

W = a

H = 4

-----

formula becomes:

S = 2*7*a + 2*7*4 + 2*a*4

simplify:

S = 14*a + 56 + 8*a

combine like terms:

S = 22*a + 56

-----

answer is:

S = 22*a + 56 (equation 2)

-----

to prove, substitute any value for a in equation 2:

let a = 15

S = 22*a + 56 (equation 2)

S = 22*15 + 56

S = 330 + 56

S = 386

-----

since a = 15, then W = 15 because W = a

go back to equation 1 and substitute 15 for W:

S = 2*L*W + 2*L*H + 2*W*H (equation 1)

where:

L = length

W = width

H = height

-----

you have:

L = 7

W = 15

H = 4

-----

equation 1 becomes:

S = 2*7*15 + 2*7*4 + 2*15*4

perform indicated operations:

S = 210 + 56 + 120

S = 386

-----

surface area is the same using both equations so:

equations are good.

formula for surface area of right rectangle in terms of a is:

S = 22*a + 56

-----

8 0

2 years ago

Read 2 more answers