simplify....










please solve it.
​

Answer:

a = -3, b = 1

Step-by-step explanation:

1. Plug in the given values into the equations:

a(-1) - b(2) = 1
a(2) + b(-1) = -7

2. Isolate a in the first equation:

a(-1) - b(2) = 1   =   a · -1 - b · 2 = 1

-a - 2b = 1

-a -2b+2b = 1+2b

-a = 1 + 2b

[tex]\frac{-a}{-1} =\frac{1}{-1} +\frac{2b}{-1}[/tex]

a = -1 - 2b

3. Substitute "a = -1 - 2b" in for a in the second equation:

(-1 - 2b)2 + b(-1) = -7

4. Simplify:

-2 - 4b + b(-1) = -7

-2 - 4b -b = -7

-2 -5b = -7

5. Isolate for b:

-2+2 - 5b = -7+2

-5b = -5

[tex]\frac{-5b}{-5} =\frac{-5}{-5}[/tex]

b = 1

6. Substitute the b value into an equation to solve for a:

a = -1 -2 · 1

a = -3 · 1

a = -3

hope this helps!

The time taken to have a total of $21,000 is 36.5 years.

To calculate the time it takes to reach $21,000 with a simple annual interest rate, we can use the formula for simple interest:

Interest = Principal × Rate × Time

Where:

Interest is the additional amount earned on the initial investment (in this case, the difference between $21,000 and $8,600),

Principal is the initial investment ($8,600),

Rate is the annual interest rate (3.95% expressed as 0.0395),

and Time is the unknown variable we want to find.

We can rearrange the formula to solve for Time:

Time = Interest / (Principal × Rate)

Let's plug in the values:

Interest = $21,000 - $8,600 = $12,400

Principal = $8,600

Rate = 0.0395

Time = $12,400 / ($8,600 × 0.0395) ≈ 36.5

So, it will take approximately 36.5 years to have a total of $21,000.

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The property of addition that is shown in the equation (a+bi)+(0+0i)=(a+bi) is the identity property of addition.

The identity property of addition states that when any number and 0 are added, the result will be the number itself.

The property of addition that is shown in the equation [tex](a+bi)+(0+0i)=(a+bi)[/tex] is the identity property of addition.

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Answer:

C Identity property

Step-by-step explanation:

Edge 2022

Answer:

The volume is 4,608.

Step-by-step explanation:

To solve for volume, multiply the length (l), width (w), and height (h) values together. So, 24 * 12 * 16 = 4,608. Therefore, the volume is 4,608. Good luck!

Answer:y=2.5x

Step-by-step explanation:

We have been given a graph that shows numbers of servings (y) in different amounts (x) of frozen yogurt listed on a carton.

To write an equation that gives the number of servings y in x pints, we will have to find the slope (rate of change) of our given linear function.

Since we know that rate of change of a function can be found by vertical change of the function divided by horizontal change of the function.  

m= Slope (rate of change).

=Difference between two y-coordinates.

=Difference between corresponding x-coordinates of the y-coordinates.    

Upon substituting coordinates of two points (0,0) and (4,10) in slope formula we will get,  

The slope of our given line is 2.5.  

Now we will write equation of our given line is slope-intercept form. The equation of a line in slope-intercept form is: , where m=slope and b = y-intercept (initial value).

Upon substituting m=2.5 and coordinates of point (4,10) in slope-intercept form of equation we will get,

Upon substituting m=2.5 and b=0 in slope-intercept form of equation we will get,

Therefore, the equation  will give the number of servings y in x pints.

3x + 27 =180

-27

3x = 153

÷3

x = 51

a=142

(vertically opposite angles are equal)

Reflex angles adds up to 360

360 - (142x2) = 76

76/2 = 38

t & c = 38

Hope this helps!

Answer:

Here you go :) if you need anything tell me!

The amount of cherrries that Dahlia has in stock at the end of the day is 69.

The first step is to determine the number of cherries that were remaining after 19 were sold.

Cherries remaining = 22 - 19 = 3

Number of cherries in the shipment == 22 x 3 = 66

Total number of cherries at the end of the day = 66 + 3 = 69

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Answer:

43

Step-by-step explanation:

First, you have to find the value inside the parentheses. That would be 8-4, which is 4.

Now, use the rule of Pedmas, or Bedmas, whatever you prefer. That is Parentheses, exponents, multiplication, addition, subtraction. So, now you have the equation:

27 + 4 x 4.

You would multiply before addition, as shown above, so you would get:

27 + 16

which would equal:

43.

Answer:

it will take 4 seconds

it takes the puppy 25 seconds and the cat 20 seconds

20+25= 45

180 divide by 45 = 4 seconds your answer is 4 seconds

your welcome!

Answer:

its dark blue

Step-by-step explanation:

Answer:

undefined

Step-by-step explanation:

Since, the terminal point of  is (x,y), thus

[tex]tan[/tex] Ø [tex]\frac{y}{x}[/tex]

x-coordinate is 1 and the y-coordinate is 0. Using [tex]tan0=\frac{y}{x}[/tex] we get:

[tex]tan[/tex] ∅ [tex]=\frac{1}{0}[/tex]

[tex]tan[/tex] ∅ [tex]=0[/tex]

Therefore, tan Ø is undefined.

Or we can just do 1/0  which is undefined

~Lenvy~

Your answer is 4.

Explanation:--

The Mean of the Data set is ---

2+5+1+7+6+4+3

7

= 4.

Hence, Mean of the data set is 4.

Answer:

To find the mean, you must add all the numbers and divide it by the amount of numbers in the set.

2 + 5 + 1 + 7 + 6 + 4 + 3
= 28
28 divided by 7 = 4

The answer is 4

Step-by-step explanation:

The arithmetic mean is the simple average, or sum of a series of numbers divided by the count of that series of numbers.

In the world of finance, the arithmetic mean is not usually an appropriate method for calculating an average, especially when a single outlier can skew the mean by a large amount.

Other averages used more commonly in finance include the geometric and harmonic mean.

Answer:

The final cost before sales tax is $475.

Step-by-step explanation:

you add the 30% to the 20% and that equals 50% off. Which is half off so you have to divide $950 by 2. That equals $475. Easy :)

Answer:

the answer is 84

Answer:

a) 5.85

b) 0.0004

Step-by-step explanation:

[tex]a) \: \: \sqrt{ \frac{ {4.5}^{2} + {10.8}^{2} }{4} } \\ \\ = \sqrt{ \frac{ 20.25 + 116.64 }{4} } \\ \\ = \sqrt{ \frac{136.89}{4} } \\ \\ = \sqrt{34.2225} \\ \\ = 5.85 \\ \\ b) \: \: \frac{1}{(2 \times {10}^{5} ) + (5 \times {10}^{4}) } \\ \\ = \frac{1}{(20\times {10}^{4} ) + (5 \times {10}^{4}) } \\ \\ = \frac{1}{(20 + 5) \times {10}^{4} } \\ \\ = \frac{1}{25 \times {10}^{4} } \\ \\ = 0.04 \times {10}^{ - 4} \\ \\ = 0.0004[/tex]

Answer:

Your answer is B) 3.6 cm.

Step-by-step explanation:

10 mm = 1 cm. To convert 36 mm to cm all you have to do is divide by 10.

36/10 = 3.6

So, 36 mm = 3.6 cm.

In the future, if you were to convert cm to mm, just multiply by 10.

Answer:

C

Step-by-step explanation:

The total population of Deer's in the given span area is 5852 Deer's.

Population density is defined as the total number of humans presence

per unit square miles. Mathematically, we can write -

Population density = (Total human population)/(Total span area)

Given is that a county in north Carolina spans 532 square miles. the population density of deer in the county is 11 deer per square mile

We can write the total population of Deer's in the given span area as -

Population = Deer's population density x total area span

Population = 11 x 532

Population = 5852

Therefore, the total population of Deer's in the given span area is 5852 Deer's.

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Answer:

7/8

Step-by-step explanation:

7/8 is a larger fraction than 4/5, so the decimal must be larger. You can check this using a calculator, and dividing the numbers.

Answer:

  C.  0.625

Step-by-step explanation:

You want to know if the given decimals are correctly written as the given fractions.

It is generally easier to find the decimal equivalent of a fraction, but some calculators can go the other way, as well.

The decimal 0.625 corresponds to the fraction 5/8, not 7/8.

0.625 was converted incorrectly.

__

Additional comment

You can factor out 125 from numerator and denominator of the fraction equivalent of 0.625:

  [tex]0.625=\dfrac{625}{1000}=\dfrac{5(125)}{8(125)}=\dfrac{5}{8}[/tex]

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Charlene has a monthly salary of $3,410. with her present budget, the corrected net income is $113.70

Income tax is a tax applied on individuals or entities concerning income or profit earned by them.

Charlene has a monthly salary = $3,410.

Charlene has a net income that is 7% of her monthly salary.

The computation of the new net income is shown below

= Monthly salary × net income percentage - reduced amount of net income per month

= $3,410 × 7% - $125

= $113.70

Hence, the corrected net income is $113.70

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Answer: W is now at (2,-3)

Step-by-step explanation: flip by the x-axis to turn (-2,3) to (-2,-3) then flip it on the y-axis to turn (-2,-3) to (2,-3).

Answer:

pls why did you decide to type vertically, you could have typed it horizontally for clearer understanding, thanks.

Step-by-step explanation:

by my analysis

the answer should be the first option

3x to the 4th power

mathematically 3x^4.

Answer:

[tex]\ln z + 8\ln (z-1)[/tex]

Step-by-step explanation:

[tex]\ln z(z-1)^8[/tex]

Using the product rule: [tex]\ln(xy)=\ln x + \ln y[/tex]

[tex]\implies \ln z + \ln (z-1)^8[/tex]

Using the power rule:  [tex]\ln x^n=n \ln x[/tex]

[tex]\implies \ln z + 8\ln (z-1)[/tex]

[tex]\\ \rm\Rrightarrow lnz(z-1)^8[/tex]

[tex]\\ \rm\Rrightarrow lnz+ln(z-1)^8[/tex]

[tex]\\ \rm\Rrightarrow lnz+8ln(z-1)[/tex]

Answer:

D

Step-by-step explanation:

More time is needed for current academic lessons and special projects.

Answer:

2 1/3 cups for each hiker

Step-by-step explanation:

8bags x 3.5 cups in each bag =28 cups in total
28 cups shared among 12 hikers = 28/12 = 2 1/3 cups for each hiker

Answer:

Step-by-step explanation:

f(x) = (-2)^x

x = 3 from the left

f(3) = (-2) ^3

f(3) = (-2) *  (-2) *  (-2)

f(3) = - 8

You have to realize that you are working with an exponential equation (that is x is a power, not a variable. A variable equation would be written as y = 3x