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3 years ago

14

If multiplying by one fourth makes a positive number smaller then why does dividing by one fourth do the value of the number exp

lain your reasoning

1 answer:

Tomtit [17]3 years ago

7 0

If you are multiplying, you are simply putting the fraction that is listed in, but when dividing, you use the reciprocal of the fraction.

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Which expressions are equivalent to log(3)3+log(3)27? A. Log10 B. 4 C. Log(3)81 D. Log3(3^4)

LekaFEV [45]

$\log_33+\log_327=1+\log_33^3=1+3=4\\\\Answer:\fbox{B.}\\\\Used:\\\log_aa=1\\\log_ab^c=c\log_ab\\\log_ab=c\iff a^c=b$

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3 years ago

The line has the same slope as 7x-y=5 and the same y intercept as the graph 3y-11x=15

scoundrel [369]

7x - y= -5. Standard form is when it is written with x and y on the same side, but x is not negative or a fraction. To find the slope and y intercept, you must change the first two equations to slope intercept. You get y=7x-5 for the first one and y=11/3x+5 for the seccond equation. Take the 5 as your y intercept and the 7 as your slope and you get y=7x+5. Now you need to change it into standard form. When all is said and done, your final answer should be 7x - y = -5.

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3 years ago

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Powers of 10 with positive exponents are:<br> less than 1<br> greater than 1

nata0808 [166]

Answer:

greater than 1

Step-by-step explanation:

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3 years ago

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Arc AB is One-sixth of the circumference of a circle. What is the radian measure of the central angle? StartFraction pi over 6 E

oksian1 [2.3K]

Answer:

StartFraction pi Over 3 EndFraction

Step-by-step explanation:

we know that

The circumference of a circle subtends a central angle of 360 degrees or 2π radians

so

by proportion

Find out the central angle for an arc equal to One-sixth of the circumference of a circle

Let

x -----> the measure of the central angle in radians for an arc equal to One-sixth of the circumference

$\frac{C}{2\pi}=\frac{(C/6)}{x}\\\\x=2\pi(C/6)/C\\\\x=\frac{2\pi}{6}$

Simplify

$x=\frac{\pi}{3}$

therefore

StartFraction pi Over 3 EndFraction

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3 years ago

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Given: g(x) = 3x² + 2 and h(x) = 2x + 2<br> Find: g(h(x))

kompoz [17]

Step-by-step explanation:

g(x) = 3x² + 2

h(x) = 2x + 2

g(h(x)) = g([2x + 2]) = 3[2x+2]² + 2

= 3[4x² + 8x + 4] + 2

= 12x² + 24x + 12 + 2

= 12x²+ 24x + 14

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3 years ago