U - 5 = -4(w - 1) What does u=

Mathematics

1 answer:

Andru [333]3 years ago

3 0

Answer:

u = -4(w - 1) + 5

Step-by-step explanation:

u - 5 = -4(w - 1)

add 5 to both sides

u = -4(w - 1) + 5

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Answer??????????????

Burka [1]

Answer: 4/5 * 7^1/2 ==> 1st option

Step-by-step explanation:

3(7/25)^1/2-(28/25)^1/2+(63/25)^1/2=

3(7)^1/2 / 5 -(4*7)^1/2 / 5 +(9*7)^1/2 / 5=

3(7)^1/2 / 5 -2(7)^1/2 / 5 +3(7)^1/2 / 5=

(3-2+3)(7^1/2 / 5)=

4(7^1/2 / 5)=4/5 * 7^1/2 ==> 1st option

3 0

1 year ago

7 is less than if equal to 0.5v + 10

-Dominant- [34]

7 < 0.5v+10
*should be less than it equal sign
Subtract 10 from both sides
7-10 < 0.5v+10-10
The 10 cancels itself out on the right
-3 < 0.5v
Divide both sides by 0.5
-3/0.5 < 0.5v/0.5
-3/(1/2) < v
Multiply by the reciprocal
-3*(2/1) < v
-6 < v

-6 is less than or equal to v

Hope this helps! :)

7 0

3 years ago

Find the most general antiderivative of the function. (Check yo f(x) = 3^x + 7 sinh(x) F(x) = Need Help? Watch It Talk to a Tuto

egoroff_w [7]

Answer:

F(x)= $\frac{3^x}{ln(3)}$ +7cosh(x)+C

Step-by-step explanation:

The function is f(x)=3ˣ+7sinh(x), so we can define it as f(x)=g(x)+h(x) where g(x)=3ˣ and h(x)=7sinh(x).

Now we have to find the most general antiderivative of the function this means that we have to calculate $\int\ {f(x)} \, dx$ wich is the same as $\int\ {(g+h)(x)} \, dx$

The sum rule in integration states that the integral of a sum of two functions is equal to the sum of their integrals. Then,

$\int\ {(g+h)(x)} \, dx$ = $\int\ {g(x)} \, dx + \int\ {h(x)} \, dx$

1- $\int\ {g(x)} \, dx =$ $\int\ {3^x} \, dx = \frac{3^x}{ln(3)}+C$ this is because of the rule for integration of exponencial functions, this rule is:

$\int\ {a^x} \, dx =\frac{a^x}{ln(x)}$ , in this case a=3

2- $\int\ {h(x)} \, dx =$ $\int\ {7sinh(x)} \, dx =7\int\ {sinh(x)} \, dx =7cosh(x)+C$ , number seven is a constant (it doesn´t depend of "x") so it "gets out" of the integral.