Find two integers whose sum is 5 and whose product is 6.

Answer:

see below

Step-by-step explanation:

i.

= √(3 + 4i)

= 2 + i

ii.

= √(-8 + 6i)

= √2(-4 + 3i)

iii.

= √(-40 - 42i)

= √-2(20 + 21i)

iv.

= √i

= √i

v.

= [tex]\sqrt{\frac{2 + 3i}{5 - 4i} } +\sqrt{\frac{2-3i}{5+4i} }[/tex]

= [tex]\sqrt{\frac{-2+23i}{41} } +\sqrt{\frac{2-3i}{46} }[/tex]

Answer:

ok iam follow

Step-by-step explanation:

Mark as brainleist answer

Answer:

X>10

Step-by-step explanation:

9+1.25x>14+0.75x

Answer:

x>10

Step-by-step explanation:

Answer: Mode = 33, Mean = 35.5

Step-by-step explanation: The mode is whatever number appears the most.

To find the mode, first put the numbers in order from least to greatest.

29, 31, 33, 33, 37, 38, 40, 43

In this case, 33 appears the most, so the mode is 33.

The mean is the average of all of the numbers.

Firstly, add up all of the numbers:

29 + 31 + 33 + 33 + 37 + 38 + 40 + 43 = 284

Now that you have all of them added up, divide the final sum by the number of numbers you have in the list. In this case, you have 8 numbers.

284/8 = 35.5

Your mean is 35.5

Answer:

Mode = 33

Mean = 35.5

The mode is whatever number appears the most.

to find the mean:

add all the numbers:

29 + 31 + 33 + 33 + 37 + 38 + 40 + 43 = 284

divide that by the number of numbers you have in the list.

284/8 = 35.5

mean = 35.5

Answer:

Step-by-step explanation:

[tex]3 \log_{a} (2x+1)=\log_{a}(2x+1)^{3}[/tex]

[tex]2 \log_{a}(2x-1)=\log_{a}(2x-1)^{2}[/tex]

[tex]2=\log_{a}(a^{2})[/tex]

So the expression can be expressed as a single logarithm as follows:

[tex]3\log_{a}(2x+1)-2\log_{a}(2x-1)+2=\log_{a}(2x+1)^{3}-\log_{a}(2x-1)^{2}+\log_{a}a^{2}[/tex]

[tex]3\log_{a}(2x+1)-2\log_{a}(2x-1)+2=\log_{a}\left(\frac{(2x+1)^{3}a^{2}}{(2x-1)^{2}}\right)[/tex]

Using linear function concepts, it is found that the meaning of the slope is given by:

(B) the weekly change in the number of tickets sold.

A linear function is modeled by:

[tex]y = mx + b[/tex]

In which:

From this, we have that the slope represents a rate of change, hence, option B is correct.

More can be learned about linear function concepts at https://brainly.com/question/24808124

Answer:

should be 90 seats each section hope that helped

Answer:

17/10, 1 and 7/10

Step-by-step explanation:

Answer:

4.8 and 5.2

Step-by-step explanation:

5+.2=5.2   5-.2=4.8

Hopes this helps!

For me i got the awnser -15 and 25

Answer:

x = 80

Step-by-step explanation:

the total of interior angles in a quadrilateral (any shape with only 4 sides) is 360

add the angles you're given

105 + 100 + 75 = 280

subtract that number from the total interior angles (360)

360 - 280 = 80

therefore, x = 80

hope this helps! have a lovely day!!

Answer:

7a

Step-by-step explanation:

Answer:

2!!!!!

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

do 6/3 easy as pie! (not pi)

Answer:

4(x+y)=20

Step-by-step explanation:

Answer:

50

Step-by-step explanation: love uuuuuu

Answer:

4=No

-3=No

2=Yes

0=No

Step-by-step explanation:

enter enter all the factors into the equation and see which one equals -28 on both sides at the end.

Answer:

Step-by-step explanation:

If person A can paint the house in 'a' days, then person B takes 3a days. Each day, the total amount of house painted when they work together is ...

  1/a + 1/(3a) = 1/10

  4/(3a) = 1/10 . . . combine terms

  40 = 3a . . . . . . . cross multiply

  a = 40/3 = 13 1/3 . . . . . divide by 3

A can paint the house in 13 1/3 days.

B can paint the house in 40 days.

Answer:

Exact Form: x=11/2

Decimal Form: x=5.5

Mixed Number From: x= 1 1/2

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:  x = 11/2   or   x = 5.5

Steps:  -5(2x - 10) = 2(x - 8)

Expand: -10x + 50 = 2x - 16

Subtract 50 from both sides: -10x + 50 - 50 = 2x - 16 - 50

Simplify: -10x = 2x - 66

Subtract 2x from both sides: -10x - 2x = 2x - 66 - 2x

Simplify: -12x = -66

Divide both sides by 12:  -12x ÷ 12  =  -66 ÷ 12

Simplify: x = 11/2   or    5.5

Plz mark brainliest:)

Answer:

The answer is 48 :)

Answer:

B. 4/6

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

We have the two functions: [tex]f(x)=1-x^2[/tex] and [tex]g(x)=x^2-1[/tex].

And we want to find the value of b such that [tex]f(3b)+8=g(3b)-8[/tex] is true.

Notice that we can multiply f(x) by -1. This yields:

[tex]-f(x)=x^2-1[/tex]

Notice that this is the same as g(x). Therefore:

[tex]-f(x)=g(x)[/tex]

If we substitute 3b for x:

[tex]-f(3b)=g(3b)[/tex]

So, we can go back to our equation. We have:

[tex]f(3b)+8=g(3b)-8[/tex]

Substitute -f(3b) for g(3b):

[tex]f(3b)+8=-f(3b)-8[/tex]

Solve. Subtract 8 from both sides and add f(3b) to both sides:

[tex]2f(3b)=-16[/tex]

Divide both sides by 2:

[tex]f(3b)=-8[/tex]

Now, we can use the function of f(x). Substitute 3b into f(x). So:

[tex]1-(3b)^2=-8[/tex]

Subtract 1 from both sides:

[tex]-(3b)^2=-9[/tex]

Divide both sides by -1:

[tex](3b)^2=9[/tex]

Take the square root of both sides:

[tex]3b=\pm 3[/tex]

Divide both sides by 3. So, the value of b can be:

[tex]b=-1, 1[/tex]

Therefore, our answer is A.

And we're done!

Answer:

A.1

Step-by-step explanation:

f(x) = 1 - x² ⇒ f(3b) = 1 - (3b)² = 1 - 9b²

g(x) = x² - 1 ⇒ g(3b) = (3b)² - 1 = 9b² - 1

f(3b) + 8 = g(3b) - 8 ⇒ (1 - 9b²) + 8 = (9b² - 1) - 8

⇔ 9 - 9b² = 9b² - 9

⇔ 9 + 9 = 9b² + 9b²

⇔ 18 = 18b²

⇔ b² = 1

⇒ b = 1; - 1

Answer:

225 pi

Step-by-step explanation:

Take note.

V= volume

r = radius

h = height

Formula for Volume of Cylinder

[tex]V=\pi r^{2}h[/tex]

[tex]V=\pi* 5^{2}*9[/tex]

[tex]V=706.85835[/tex]

Now in terms of pi.

[tex]\frac{706.85835}{\pi } =225[/tex]

225 pi

Answer:

positive y would be also 0

Step-by-step explanation:

y = 0

Answer:1/4

hope this helps

Step-by-step explanation:We can't subtract two fractions with different denominators. So you need to get a common denominator. To do this, you'll multiply the denominators times each other... but the numerators have to change, too. They get multiplied by the other term's denominator.

So we multiply 3 by 12, and get 36.

Then we multiply 6 by 4, and get 24.

Next we give both terms new denominators -- 4 × 12 = 48.

So now our fractions look like this:

36/48 − 24/48

Step 2

Since our denominators match, we can subtract the numerators.

36 − 24 = 12

So the answer is:12/48

Step 3

Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?

To find out, we try dividing it by 2

Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:

12/48÷ 2 =6/24

Let's try dividing by 2 again

Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:

6/24÷ 2 =3/12

Let's try dividing by 2 again...

Nope! So now we try the next greatest prime number, 3...

Are both the numerator and the denominator evenly divisible by 3? Yes! So we reduce it:3/12÷ 3 =1/4

Let's try dividing by 3 again

No good. 3 is larger than 1. So we're done reducing.

There you have it! The final answer is:

3/4−6/12=1/4

Try this and if it doesn't help you I will give you the answer straight to you

The formulas for calculating changes in the money supply are as follows. Firstly, Money Multiplier = 1 / Reserve Ratio. Finally, to calculate the maximum change in the money supply, use the formula Change in Money Supply = Change in Reserves * Money Multiplier.

Answer: Prokhorova is more outstanding.

Step-by-step explanation: To compare scores from different distributions, first standardize it:

z-score = [tex]\frac{x-\mu}{\sigma}[/tex]

where

x is the individual mean you want to compare

μ is the mean of the population

σ is standard deviation

For Gertrud Bacher:

z-score = [tex]\frac{129-137}{5}[/tex]

z-score = [tex]-1.6[/tex] (s)

The negative sign indicates Bacher's mean is less than the mean

For Yelena Prokhorova:

z-score = [tex]\frac{660-600}{30}[/tex]

z-score = 2 (cm)

The positive sign indicates Prokhorova's mean is more than the mean.

Using z-score table, you determine the percentiles are:

For Bacher: Percentile = 5.5%

For Prokhorova: Percentile = 97.7%

Bacher's percentile means she is above 5.5% of the participants, while Prokhorova is 97.7% above the other competitors, which means Prokhorova have a better performance and deserves more points.

Answer:

Step-by-step explanation:

(x-1)^5 = x^5 - 5x^4 + 15x^3 - 15x^2 + 5x - 1

That has 6 terms, so let's get rid of the two middle ones.

f(x) = (x-1)^5 - 15x^2(x-1)

Now, f(0) = 1, but we want f(0) = 12

So, let

f(x) = 12((x-1)^5 - 15x^2(x-1)) = 12x^5 - 60x^4 + 60x - 12

As for the graph, it looks like

y = (x+4)(x+2)(x-1)^2(x-6)

The extrema appear to be at about (-3,1), (-1,-1), (1,0), (4,-9)

The relative maximums and minimums of this 5th-degree polynomial appear to be at about (-3,1), (-1,-1), (1,0), (4,-9)

A polynomial is defined as a mathematical expression that has a minimum of two terms containing variables or numbers. A polynomial can have more than one term.

The degree of the polynomial is 5.

The polynomial has 4 terms

So (x-1)⁵ = x⁵ - 5x⁴ + 15x³ - 15x² + 5x - 1

Let's eliminate the two middle terms from it, which has six.

f(x) = (x-1)⁵ - 15x²(x-1)

Given that the graph of the polynomial crosses the vertical axis at Y = 12

So, substitute f(0) = 1, but we determine f(0) = 12

So, let f(x) = 12((x-1)⁵ - 15x²(x-1)) = 12x⁵ - 60x⁴ + 60x - 12

As for the graph, it looks like

So the approximate input values of relative maximums and minimums of this 5th-degree polynomial :

y = (x+4)(x+2)(x-1)²(x-6)

The relative maximums and minimums of this 5th-degree polynomial appear to be at about (-3,1), (-1,-1), (1,0), (4,-9)

Learn more about the polynomial here:

brainly.com/question/11536910

#SPJ2

Answer:   y = [tex]-\frac{2}{1.5}[/tex]x + 15

Step-by-step explanation:

Slope intercept form is written as y = mx + b, where m is the slope and b is the y- intercept.

2.00x + 1.50y = 15

             1.50y = -2.00x + 15

                    y = [tex]\frac{-2}{1.5}[/tex]x + 15  

Answer:

C.  [tex]x=-9 \textsf{ and }x=1[/tex]

Step-by-step explanation:

[tex](x+4)^2=25[/tex]

[tex](x+4)(x+4)=25[/tex]

expand the brackets:

[tex]x^2+8x+16=25[/tex]

subtract 25 from both sides:

[tex]x^2+8x-9=0[/tex]

factor:

[tex]x^2+9x-x-9=0[/tex]

[tex]x(x+9)-1(x+9)=0[/tex]

[tex](x-1)(x+9)=0[/tex]

solve for x:

[tex]x-1=0 \implies x=1[/tex]

[tex]x+9=0 \implies x=-9[/tex]

Answer:

The y intercept is (0,4.5)

Step-by-step explanation:

Because the y-intercept occurs at x = 0, we can substitute this into our equation and solve for y.

3(0) +2y = 9

2y = 9

y=4.5

Answer:

[tex]\boxed{(0 , 4.5)}[/tex]

Step-by-step explanation:

→ Rearrange into y = mx + c format

2y = - 3x + 9

→ Divide everything by 2

y = -1.5x + 4.5

→ Substitute x = 0

y = 0 + 4.5 ⇒ 4.5