All categories

2 years ago

What is the solution to 4+ 2x=4

Mathematics

1 answer:

Ivenika [448]2 years ago

7 0

Answer:

Step-by-step explanation:

You might be interested in

A water trough is 9 m long and has a cross-section in the shape of an isosceles trapezoid that is 20 cm wide at the bottom, 70 c

ella [17]

Answer:

dv = surface area * dh

dv/dt = surface area * dh/dt

width at surface = 40 + (80-40)(30/40)

= 40 + 30 = 70 cm = 0.70 m

surface area = 9 * .7 = 6.3 m^2

.3 m^3/min = 6.3 m^2 * dh/dt

and

dh/dt = .047 meters/min or 4.7 cm/min

Step-by-step explanation:

7 0

2 years ago

If f(x)=e^x and g(x) = x-4 what is (g of <br> f.(x)

kkurt [141]

G(x) = x - 4

g(f(x)) = f(x) - 4 =

f(x) = e^x

g(x) = e^x - 4

6 0

2 years ago

A rectangle with a length of L and a width of W has a diagonal of 10 inches. Express the perimeter P of the rectangle as a funct

KatRina [158]

<h2>Answer:</h2>

The expression which represents the perimeter P of the rectangle as a function of L is:

$Perimeter=2(L+\sqrt{100-L^2})$

<h2>Step-by-step explanation:</h2>

The length and width of a rectangle are denoted by L and W respectively.

Also the diagonal of a rectangle is: 10 inches.

We know that the diagonal of a rectangle in terms of L and W are given by:

$10=\sqrt{L^2+W^2}$

( Since, the diagonal of a rectangle act as a hypotenuse of the right angled triangle and we use the Pythagorean Theorem )

Hence, we have:

$10^2=L^2+W^2\\\\i.e.\\\\W^2=100-L^2\\\\W=\pm \sqrt{100-L^2}$

But we know that width can't be negative. It has to be greater than 0.

Hence, we have:

$W=\sqrt{100-L^2}$

Now, we know that the Perimeter of a rectangle is given by:

$Perimeter=2(L+W)$

Here we have:

$Perimeter=2(L+\sqrt{100-L^2})$

7 0

2 years ago

An investor invested a total of $2,800 in two mutual funds. One fund earned 5% profit while the other earned 3% profit. If the i

Natasha_Volkova [10]

Answer:

The amount invested in the mutual fund that earned 5% was $1,000

The amount invested in the mutual fund that earned 3% was $1,800

Step-by-step explanation:

Let

x ----> the amount invested in the mutual fund that earned 5%

y ----> the amount invested in the mutual fund that earned 3%

we know that

$x+y=2,800$ ----> $y=2,800-x$ ----> equation A

$5\%=5/100=0.05$

$3\%=3/100=0.03$

$0.05x+0.03y=104$ ----> equation B

Solve the system by substitution

substitute equation A in equation B

$0.05x+0.03(2,800-x)=104$

Solve for x

$0.05x+84-0.03x=104$

$0.05x-0.03x=104-84$

$0.02x=20$

$x=\$1,000$

<em>Find the value of y</em>

$y=2,800-x$

$y=2,800-1,000=\$1,800$

therefore

The amount invested in the mutual fund that earned 5% was $1,000 and the amount invested in the mutual fund that earned 3% was $1,800

5 0

2 years ago

Are the equations 3x=−9 and 4x=−12 equivalent? Explain.<br> yes they are

My name is Ann [436]

Step-by-step explanation:

Yes they are equivalent. You get -3 when you try solving the actual equation.

5 0

2 years ago