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max2010maxim [7]

3 years ago

15

"11 minus a number" is the same as

1 answer:

GrogVix [38]3 years ago

8 0

X - 11 is what I think. Sorry if I’m wrong

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Solve the equation. Round to the nearest hundredth. Show work.

denis-greek [22]

Answer:

Final answer is approx x=-0.66.

Step-by-step explanation:

Given equation is $5^{-2x-1}=4^{4x+3}$ .

Now we need to solve equation $5^{-2x-1}=4^{4x+3}$ and round to the nearest hundredth.

$5^{-2x-1}=4^{4x+3}$

$\log(5^{-2x-1})=\log(4^{4x+3})$

$(-2x-1)\log(5)=(4x+3)\log(4)$

$-2x \log(5)- \log(5)=4x \log(4)+3 \log(4)$

$-2x \log(5) -4x \log(4)=3 \log(4) +\log(5)$

$x=\frac{\left(3\log(4)+\log(5)\right)}{\left(-2\log(5)-4\log(4)\right)}$

Now use calculator to calculate log values, we get:

$x=-0.65817959094$

Round to the nearest hundredth.

Hence final answer is approx x=-0.66.

8 0

4 years ago

find the equation of the line passing through the given point and perpendicular to the given equation write your answer in slope

Paraphin [41]

Slope-intercept form:

y = mx + b "m" is the slope, "b" is the y-intercept

For lines to be perpendicular, their slopes have to be the opposite/negative reciprocals (flipped sign and number)

For example:

slope is 2

perpendicular line's slope is -1/2

slope is -2/3

perpendicular line's slope is 3/2

3.) y = 2x - 2

The given line's slope is 2, so the perpendicular line's slope is -1/2

$y=-\frac{1}{2}x+b$ To find "b", plug in the point (-5 , 5) into the equation

$5=-\frac{1}{2}(-5)+b$

$5=\frac{5}{2}+b$ Subtract 5/2 on both sides

$5-\frac{5}{2}=b$ Make the denominators the same

$\frac{10}{2}-\frac{5}{2}=b$

$\frac{5}{2}=b$

$y=-\frac{1}{2}x+\frac{5}{2}$

4.) -6x + 5y = -10 Get "y" by itself, add 6x on both sides

5y = -10 + 6x Divide 5 on both sides

$y=-2+\frac{6}{5}x$

The given line's slope is 6/5, so the perpendicular line's slope is -5/6.

$y=-\frac{5}{6}x+b$ Plug in (-2, 5)

$5 = -\frac{5}{6}(-2)+b$

$5=\frac{10}{6}+b\\ 5=\frac{5}{3}+b$ Subtract 5/3 on both sides

$5-\frac{5}{3} =b$ Make the denominators the same

$\frac{15}{3}-\frac{5}{3}=b\\\frac{10}{3} =b$

$y = -\frac{5}{6}x+\frac{10}{3}$

7.) Perpendicular line's slope is -2

y = -2x + b Plug in (1,4)

4 = -2(1) + b

4 = -2 + b

6 = b

y = -2x + 6

8.) Perpendicular line's slope is -1/4

$y = -\frac{1}{4}x+b$ Plug in (-5 , 2)

$2=-\frac{1}{4}(-5)+b$

$2 = \frac{5}{4}+b$ Subtract 5/4 on both sides

$2-\frac{5}{4}=b$ Make the denominators the same

$\frac{8}{4}-\frac{5}{4}=b$

$\frac{3}{4}=b$

$y=-\frac{1}{4}x+\frac{3}{4}$

5 0

3 years ago

Help please I don’t get it

Firlakuza [10]

The correct option is Option 2: Firgure RST is similar to figure R’S’T’

5 0

3 years ago

Alex needed proceeds of $12,345. How much does he need to take out at 6% interest for 120 days to receive proceeds of $12,345? p

ozzi

Assuming the interest due is deducted from the amount borrowed, Alex will walk away with (6%)*(120/360) = 2% less money than he borrows. That is ...
$12,345 = (1.00 -2%)*(amount borrowed)
$12,345/0.98 = (amount borrowed) = $12,596.94

4 0

3 years ago

POSSIBLE POINTS: 10

Nadusha1986 [10]

Answer:

5 + 3t

Step-by-step explanation:

t = amount Tanya has

Lucy = $5 more than 3x of what Tanya has

5 0

3 years ago