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neonofarm [45]
2 years ago
12

A line passes through the points (0,3), (4,1) and (6,0). Which function best represents the relationship between the two points?

Mathematics
1 answer:
Veronika [31]2 years ago
8 0

Answer:

<em>y = - </em>\frac{1}{2}<em> x + 3 </em>

Step-by-step explanation:

y = mx + b

m = \frac{y_{2} -y_{1} }{x_{2} -x_{1} } and "b" is y-intercept with coordinates (0, b)

(0, 3) ⇒ <u><em>b = 3</em></u>

(4, 1), (6, 0)

m = \frac{0-1}{6-4} = - \frac{1}{2}

<em>y = - </em>\frac{1}{2}<em> x + 3</em>

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The expression (3x^7)^4 is equivalent to c^n what is the value of c
Nimfa-mama [501]

Answer:

n= 21

c= 3x

Step-by-step explanation:

The expression is given as;

(3x⁷)⁴

Apply the brackets law of indices which states that :

If a term with a power is itself raised to a power then the powers are multiplied together

(xᵃ)ᵇ = xᵃˣᵇ

Applying the same;

(3x⁷)⁴ = 3x²¹

If 3x²¹ = c^n

Then n = 21

and

c= 3x

7 0
3 years ago
If x+y=8 and xy =15 find the value of x³+y³.​
alexgriva [62]

Answer:

<h2>152</h2>

Step-by-step explanation:

<h3>let x= 5 and y= 3</h3><h3 /><h3>x + y = 8</h3><h3>5 + 3 = 8</h3><h3 /><h3>xy = 15</h3><h3>5 × 3 = 15</h3><h3 /><h3>x³ + y³ = ?</h3><h3>5³ + 3³ = ?</h3><h3>125 + 27 = 152</h3>

\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}

7 0
3 years ago
1/2(2g-3)=-4(g+1) show work please do this ASAP
lozanna [386]
<span><span>1/2<span>(<span>2g−3</span>)</span></span>=<span>−<span>4<span>(g+1)</span></span></span></span>
<span><span>1/2<span>(<span>2g−3</span>)</span></span>=<span>−<span>4<span>(g+1)</span></span></span></span>
<span><span>g+<span>−3/2</span></span>=<span><span>−4g</span>−4</span></span>
<span><span><span>g+<span>−3/2</span></span>+4g</span>=<span><span><span>−4g</span>−4</span>+4g</span></span><span><span>5g+<span>−32</span></span>=−4</span>
5g+−3/2+3/2=−4+3/2
<span><span>
5g</span>=<span>−5/2</span></span>
<span><span>5g/5</span>=<span><span>−52</span>5</span></span><span>
g=<span>−1<span>2

Hoped I helped!</span></span></span>
6 0
3 years ago
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ValentinkaMS [17]
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3 years ago
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What is twice 2^30 write using exponents
Alex
Twice of 2^30= 2*2^30= 2^31
5 0
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