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1 year ago

10

Find the derivative of f(x) = 7x + 4

2 answers:

rodikova [14]1 year ago

7 0

F(x) = 7x + 4
Answer: f’(x)=7

Steps:
1. Take the derivative of both sides

2. Use differentiation rule

3. Find the derivative

4. Removing doesn't change the value, so remove it from the expression

5. Solution f’(x)=7

lapo4ka [179]1 year ago

3 0

Answer:

7 d/dx[x^4]

Step-by-step explanation:

Since 7 is constant with respect to x, the derivative of 7x^4 with respect to x is 7 d/dc [x^4]

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The LCM of two numbers is 60. Their GCf is 6 and their difference is 18. What are the two numbers?

Aliun [14]

$LCM(x,y)=60\\
GCF(x,y)=6\\
x-y=18\\\\
LCM(x,y)=\dfrac{|x\cdot y|}{GCD(x,y)}\\
60=\dfrac{|x\cdot y|}{6}\\
|x\cdot y|=360\\\\\\
|x\cdot y|=360\\
x-y=18\\\\
|x\cdot y|=360\\
x=18+y\\\\
|(18+y)\cdot y|=360\\
|18y+y^2|=360\\
18y+y^2=360 \vee 18y+y^2=-360\\
y^2+18y+81=441 \vee y^2+18y+81=-279\\
(y+9)^2=441 \vee (y+9)^2=-279\\
y+9=\sqrt{441} \vee y+9=-\sqrt{441}\\
y=21-9 \vee y=-21-9\\
y=12 \vee y=-30\\\\
x-12=18 \vee x-(-30)=18\\
x=30 \vee x=-12\\\\
\boxed{x=30, y=12 \vee x=-12, y=-30}$

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In ΔSTU, the measure of ∠U=90°, the measure of ∠T=47°, and ST = 7.2 feet. Find the length of US to the nearest tenth of a foot.

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Answer:

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