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3 years ago

7

2y = 16x-2 y=8x-1 no solution, infinite solution or one solution ?

1 answer:

Zarrin [17]3 years ago

7 0

No solution to this problem

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Please help me with this problem!!!

Lilit [14]

$3 {}^{4x - 5} = ( \frac{1}{27} ) {}^{2x + 10} \\ note \: \: that = \\ ( \frac{1}{27} ) = ( \frac{1}{3 {}^{3} } ) = 3 {}^{ - 3} \\ \\ 3 {}^{4x - 5} = (3 {}^{ - 3} ) {}^{2x + 10} \\ 3 {}^{4x + 5} = 3 {}^{ - 3(2x + 10)} \\ equal \: \: bases = > equal \: exponents$

$4x - 5 = - 3(2x + 10) \\ 4x - 5 = - 6x - 30 \\ 4x + 6x = - 30 + 5 \\ 10x = - 25 \\ x = - 2.5$

7 0

2 years ago

Read 2 more answers

What is (f - g)(x)?<br>f(x) = 5x<br>g(x) = 3x2 - 8x

erma4kov [3.2K]

Answer:

$(5x)-(3x^2-8x)=-3x^2+13x$

Step-by-step explanation:

$(f-g)(x)=f(x)-g(x)$

Using this, we can subtract and find the answer.

$(5x)-(3x^2-8x)=-3x^2+13x$

6 0

2 years ago

What is the area of this triangle ?

oee [108]

Answer:

Area of triangle is 9.88 units^2

Step-by-step explanation:

We need to find the area of triangle

Given E(5,1), F(0,4), D(0,8)

We will use formula:

$Area\,\,of\,\,triangle =\sqrt{s(s-a)(s-b)s-c)} \\where\,\, s = \frac{a+b+c}{2}$

We need to find the lengths of side DE, EF and FD

Length of side DE = a = $\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}$

Length of side DE = a = $=\sqrt{(5-0)^2+(1-8)^2}\\=\sqrt{(5)^2+(-7)^2}\\=\sqrt{25+49}\\=\sqrt{74}\\=8.60$

Length of side EF = b = $\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}$

Length of side EF = b = $=\sqrt{(0-5)^2+(4-1)^2}\\=\sqrt{(-5)^2+(3)^2}\\=\sqrt{25+9}\\=\sqrt{34}\\=5.8$

Length of side FD = c = $\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}$

Length of side FD = c = $=\sqrt{(0-0)^2+(8-4)^2}\\=\sqrt{(0)^2+(4)^2}\\=\sqrt{0+16}\\=\sqrt{16}\\=4$

so, a= 8.60, b= 5.8 and c = 4

s = a+b+c/2

s= 8.6+5.8+4/2

s= 9.2

Area of triangle= $=\sqrt{s(s-a)(s-b)s-c)}\\=\sqrt{9.2(9.2-8.6)(9.2-5.8)(9.2-4)}\\=\sqrt{9.2(0.6)(3.4)(5.2)}\\=\sqrt{97.5936}\\=9.88$

So, area of triangle is 9.88 units^2

4 0

3 years ago

Suppose the discrete random variable X has the probability distribution below:

Talja [164]

(a) P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.11 + 0.52 + 0.19 = 0.82

(b) P(X ≥ 1) = P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.52 + 0.19 + 0.12 + 0.06 = 0.89

(c) µ = 0×0.11 + 1×0.52 + 2×0.19 + 3×0.12 + 4×0.06 = 1.5

(d) σ² = (0²×0.11 + 1²×0.52 + 2²×0.19 + 3²×0.12 + 4²×0.06) - µ² = 1.07

σ = √(σ²) ≈ 1.03

4 0

3 years ago

A hotel room cost $79 per night. Meg's family is getting 2 rooms for 5 nights for their trip.

SCORPION-xisa [38]

$790 because it would be 79 times 10

6 0

2 years ago