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docker41 [41]
3 years ago
7

Solve the inequality for #5 Please! (Ignore my horrible handwriting im a lefty lol)

Mathematics
1 answer:
NISA [10]3 years ago
7 0

Question:

Solve the inequality:

5.1 – r ≥ 5

Answer:

r ≤ 0.1

Solution:

Step 1: Given inequality:

5.1 – r ≥ 5

Step 2: Subtract 5.1 from both sides of the inequality

⇒ 5.1 – r – 5.1 ≥ 5 – 5.1

⇒ – r ≥ – 0.1

Step 3: To reverse the inequality, multiply both sides by –1.

⇒ (–r) × (–1) ≥ – 0.1 × (–1)

Negative × Negative = Positive

⇒ r ≤ 0.1

Hence the solution to the given inequality is r ≤ 0.1.

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Explain why the expression 7•3x is not equal to the expression 21x
rusak2 [61]
The expression 7•3x is not equal to the expression 21x. You might think that the two expressions are the same since 7x3 is 21 but the first expression is a dot product. This kind of expression includes the magnitude and direction of the vector in an expression, for example, <span>7•3x. The second expression, 21x, expresses only the magnitude and does not include the direction.</span>
5 0
3 years ago
Consider the following equation. f(x, y) = y3/x, P(1, 2), u = 1 3 2i + 5 j (a) Find the gradient of f. ∇f(x, y) = Correct: Your
BaLLatris [955]

f(x,y)=\dfrac{y^3}x

a. The gradient is

\nabla f(x,y)=\dfrac{\partial f}{\partial x}\,\vec\imath+\dfrac{\partial f}{\partial y}\,\vec\jmath

\boxed{\nabla f(x,y)=-\dfrac{y^3}{x^2}\,\vec\imath+\dfrac{3y^2}x\,\vec\jmath}

b. The gradient at point P(1, 2) is

\boxed{\nabla f(1,2)=-8\,\vec\imath+12\,\vec\jmath}

c. The derivative of f at P in the direction of \vec u is

D_{\vec u}f(1,2)=\nabla f(1,2)\cdot\dfrac{\vec u}{\|\vec u\|}

It looks like

\vec u=\dfrac{13}2\,\vec\imath+5\,\vec\jmath

so that

\|\vec u\|=\sqrt{\left(\dfrac{13}2\right)^2+5^2}=\dfrac{\sqrt{269}}2

Then

D_{\vec u}f(1,2)=\dfrac{\left(-8\,\vec\imath+12\,\vec\jmath\right)\cdot\left(\frac{13}2\,\vec\imath+5\,\vec\jmath\right)}{\frac{\sqrt{269}}2}

\boxed{D_{\vec u}f(1,2)=\dfrac{16}{\sqrt{269}}}

7 0
3 years ago
Find the measure of angle A.<br><br> 71° x+49<br> +72
slega [8]

Answer: 66 degrees

Step-by-step explanation:

Sum of the angle measures is 180, so:

71 + x + 49 + x + 72 = 180

2x + 192 = 180

2x = -12

x = -6

Meaning the measure of angle A = -6 + 72 = 66 deg.

5 0
2 years ago
GUYS IM GONNA CRY BECAUSE I SUCK AT ANSWERING WORD PROBLEMS SO PLS HELP ME I'll give u brainliest a thanks and 5 starss, Sorry t
Dmitrij [34]
Vas happenin!!


The last option is correct… She flipped the Y values and the X values it would be 4-12÷9-7

Hope this helps

-Zayn Malik
4 0
2 years ago
2 1/3 x -1 1/2=? Awarding Brainlyest lol
Nastasia [14]

Answer:

-3.5 or 3 1/2

Step-by-step explanation:

5 0
3 years ago
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