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PSYCHO15rus [73]
3 years ago
10

HELP. It’s LOG form. Since were out of school I forgot how I did this and it’s due so it would be a life saver.

Mathematics
1 answer:
____ [38]3 years ago
4 0

Answer:

see below

Step-by-step explanation:

exponent to log: a^b = c ---> logₐc = b

ie. question 6

log ₁₀(3x+1) = 2 -----> 10^{2} = 3x+1

that will get you through questions 1 to 3, 5 to 6, and 8

in question 4, all you have to do is know that 2^2 = 4 and 2^3 = 8, by setting the bases equal, you can manipulate the exponents to get 2x+8 = 3x-3

for questions 7 and 9,

remember that:

logₐc + logₐd = logₐ(cd)

logₐc - logₐd = logₐ(\frac{c}{d})

remember change of base is log_{a} b = \frac{log_xb}{log_xa}, this will be useful if you need your calculator since calculators only have base 10 and maybe if your calculator is good enough natural base e

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Identify the properties of the given quadratic.
Komok [63]

Answer:

see explanation

Step-by-step explanation:

A quadratic function in standard form is

y = ax² + bx + c (a ≠ 0 )

Given

y = - 3x² + 6x + 17 ← compare coefficients with standard form, then

a = - 3, b = 6, c = 17

Given the quadratic in standard form the the equation of the axis of symmetry is

x = - \frac{b}{2a} = - \frac{6}{-6} = 1

Equation of axis of symmetry is x = 1

4 0
3 years ago
What is the answer to this solution. -7r−4≥ 4r+2
tia_tia [17]

Answer:

The solution is:

-7r-4\ge \:\:4r+2\quad \::\quad \:\begin{bmatrix}\mathrm{Solution:}\:&\:r\le \:\:-\frac{6}{11}\:\\ \:\:\mathrm{Decimal:}&\:r\le \:\:-0.54545\dots \:\\ \:\:\mathrm{Interval\:Notation:}&\:(-\infty \:\:,\:-\frac{6}{11}]\end{bmatrix}

Please check the attached line graph below.

Step-by-step explanation:

Given the expression

-7r-4\ge \:4r+2

Add 4 to both sides

-7r-4+4\ge \:4r+2+4

Simplify

-7r\ge \:4r+6

Subtract 4r from both sides

-7r-4r\ge \:4r+6-4r

Simplify

-11r\ge \:6

Multiply both sides by -1 (reverses the inequality)

\left(-11r\right)\left(-1\right)\le \:6\left(-1\right)

Simplify

11r\le \:-6

Divide both sides by 11

\frac{11r}{11}\le \frac{-6}{11}

Simplify

r\le \:-\frac{6}{11}

Therefore, the solution is:

-7r-4\ge \:\:4r+2\quad \::\quad \:\begin{bmatrix}\mathrm{Solution:}\:&\:r\le \:\:-\frac{6}{11}\:\\ \:\:\mathrm{Decimal:}&\:r\le \:\:-0.54545\dots \:\\ \:\:\mathrm{Interval\:Notation:}&\:(-\infty \:\:,\:-\frac{6}{11}]\end{bmatrix}

Please check the attached line graph below.

7 0
2 years ago
Jesse has a storage container in the shape of a right rectangular prism. The volume of the container is 43.875 cubic meters, the
Gnom [1K]

Answer:

The height is 2.25 meters.

Step-by-step explanation:

The volume of a right rectangular prism is the product of the length, width, and height. So it would be V=w*l*h.

Because you have been given the values of the volume, width, and length, you can plug in those values into the equation to find the height. It should look like this: 43.875=5 * 3.9 * h

Then you can divide both sides of the equation by 5 * 3.9.

So... 43.875/(5*3.9)=h

therefore h= 2.25.

hope this explanation makes sense!

4 0
3 years ago
Read 2 more answers
Charles is 20% heavier than Edith. If Charles weighs 60kg, what is Edith's weight?​
ddd [48]

Charles' weight = Edith's weight + 20% of Edith's weight

We'll use a variable to represent Edith's weight, x.

The decimal form of 20% is 0.2.

60 = x + 0.2x

60 = 1.2x

x = 50

Edith's weight is 50kg.

Hope this helps!

4 0
1 year ago
What would x be equal to?
Vilka [71]

Answer:

x = \frac{C-By}{A}

Step-by-step explanation:

Given

Ax + By = C ( subtract By from both sides )

Ax = C - By ( divide both sides by A )

x = \frac{C-By}{A}

4 0
3 years ago
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