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2 years ago

Can someone please help

Mathematics

1 answer:

dezoksy [38]2 years ago

8 0

Answer:

Step-by-step explanation:

8x^2 - 2x^2 - 3x + 8x + 1/3 - 3/5

6x^2 + 5x + 5/15 - 9/15

6x^2 + 5x - 4/15

the solution is the third one C

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Justin traveled 70 miles from Boston to Hyannis in 1 hr and 45 minutes. He then traveled 10 more miles from Hyannis to Dennispor

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2 years ago

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mars1129 [50]

Answer:

$1.\:2^x=64, x=\boxed{6},\\2.\:x=\left(\frac{2}{3}\right)^3,x=\boxed{\frac{8}{125}}\\3.\:3\cdot (3^4)=3^x, x=\boxed{5}\\4.\:\frac{16}{25}=x^2,x=\boxed{\frac{4}{5}},$

Step-by-step explanation:

$1.\\\\2^x=64,\\\log 2^x=\log64,\\x\log 2=\log 64,\\x=\frac{\log 64}{\log 2}=\boxed{6}$

$2.\\x=\left(\frac{2}{5}\right)^3=\frac{2^3}{5^3}=\boxed{\frac{8}{125}}$

3. This problem incorporates an exponent property.

Exponent property used: $a^b\cdot a^c=a^{(b+c)}$ , yielding an answer of $\boxed{5}$

$4.\\\\\frac{16}{25}=x^2,\\x=\sqrt{\frac{16}{25}}=\frac{\sqrt{16}}{\sqrt{25}}=\boxed{\frac{4}{5}}$

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3 years ago

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A line with a slope of 9 passes through the points (-7,-10) and (-6,g).What is the value of g?

aleksklad [387]

Answer:

g = -1

Step-by-step explanation:

Given the following data;

Slope, m = 9

Points = (-7, -10) and (-6, g)

X-axis = x1, x2 = (-7, -6)

Y-axis = (y1, y2) = (-10, g)

Mathematically, slope is given by the formula;

$Slope = \frac{Change \; in \; y \; axis}{Change \; in \; x \; axis}$

$Slope, m = \frac {y_{2} - y_{1}}{x_{2} - x_{1}}$

Substituting into the equation, we have;

9 = (g - (-10))/(-6 - (-7)

9 = (g + 10)/(-6 + 7)

9 = (g + 10)/1

Cross-multiplying, we have;

9 = g + 10

g = 9 - 10

g = -1

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2 years ago

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Answer:

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Step-by-step explanation:

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2 years ago

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