solve the equation x^4+7x^2-18=0 and express each solution in a+bi form

Answer:

Step-by-step explanation:

Rise over run is the slope, m

m=2/5

a)  the slope is 2/5 = .4 which is below the boundary guideline.  So no this is not with in carpenter's guidelines

b) the image below show a line with slope 2/5 but with intercept 3

c) the stairs can be draw on the line with rise 2 run 5   from the line.  see image

d)equation is in image

2.

a) count the squares

horizontal distance =3

vertical distance =3

b)  slope is vertical distance over horizontal distance  so m= 3/3 =1

Answer:

Step-by-step explanation:

H

Answer:

12+12=24. 24+7=31

Step-by-step explanation:

31 inchess

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1. In the first problem, we need to subtract 1 from 9 since there is an addition:

9 – 1 = 8

Next, divide 8 by 2, and we get:

8 ÷ 2 = 4

This means that x = 4

Finally, check the answer by:

2(4) + 1 = 9

2. In the second problem, we need to subtract 3 from 19 since there is an addition:

19 – 3 = 16

Next, divide 16 by 4, and we get:

16 ÷ 4 = 4

This means that x = 4

Finally, check the answer by:

4(4) + 3 = 19

3. In the third problem, we need to add 2 with 7 since there is subtraction:

2 + 7 = 9

Next, divide 9 by 3, and we get:

9 ÷ 3 = 3

This means that x = 3

Finally, check the answer by:

3(3) – 2 = 7

Hope this helps :)

Answer:

Step-by-step explanation:

To find the median, we need to arrange the data in ascending order:

70, 71, 72, 74

Since the data set has an even number of values, the median is the average of the two middle values. In this case, the two middle values are 71 and 72. Therefore, the median is:

(71 + 72) / 2 = 143 / 2 = 71.5

So, the median for the given set of data is 71.5.

Answer:

i think a to c is dividing by 4.5

sorry if I'm wrong

Answer:

B) 28 inches.

Step-by-step explanation:

After 1/8 of a ribbon is thrown away, the remaining part is cut into two pieces whose lengths are in the ratio 4 : 5.

And we want to find the length of the shorter ribbon from the two remaining pieces.

We are given that 9 inches of the original ribbon was thrown away. Since this is 1/8 of the total length, we can write that:

\(\displaystyle \frac{1}{8}L=9\)

Where L represents the total length of the ribbon.

Solve for the total length:

\(\displaystyle L=72\text{ inches}\)

So, the original length of the ribbon was 72 inches.

Since we threw away 9 inches of it, we now only have 63 inches.

This is then cut into two pieces in a ratio of 4 : 5. Let x represent the constant. Thus:

\((4x)+(5x)=63\)

Solve for x:

\(9x=63\Rightarrow x=7\)

Hence, the two remaining ribbons measure 28 inches and 35 inches.

Therefore, our answer is B.

Answer:

5+ (x*10)_<-25

Step-by-step explanation:

See image below:)

Answer:

Step-by-step explanation:

(–10,–3)

(–8,–4)

(–6,–5)

(–4,–6)

(–2,–7)

(0,–8)

(2,–9)

(4,–10)

(7,–11)

Answer:

Step-by-step explanation:

Ok this is pretty simple. Slope intercept is by far the most simple way to write an equation given that it only has 2 pieces: the slope of the line and the value at which it crosses the y axis (so when x=0). Slope is usually represented by the varriable "m" and the y intercept is usually represented by the letter "b". (Don't ask me why they chose these 2 random letters. It's... it's just whatever... Go with it.) Thus, we have the equation y=mx+b. So anyways.. Slope is just the change in y divided by the change in x. To find this, we just take 2 random points on the graph, subtract the first y from the second y and divide that by the first x subtracted from the second x. Let's use (2,-9) and (4,-10) from this fun little graph you ever so generously provided for us.

I'm bad at transitions so here's the math:

(y2-y1)/(x2-x1)

((-10)-(-9))/(4-2)

-1/2 ------> Thats "m".

SOOO... the slope is -1/2. Cool. BUT WE ARENT DONE

The other thing we need is the y-intercept. You may find yourself asking "what is this... this THING... he speaks of?" Its where the line hits the y axis. Thats is. It's not that hard. In this case it's -8 so b=-8.

Now for the best part... LETS PLUG ALL THOSE DOOHICKEYS IN.

y=mx+b

m=-1/2

b=-8

y=-1/2x+-8-----> y=-1/2x-8

TA DA

MAGIC

If you have any other questions just let me know. You can ask it here or just dm me and I'll respond free of charge. G'Day!

Answer:

4400

Step-by-step explanation:

I think this is right sorry if its not. Have a good night, sorry if im late.

Answer:

  4600 miles

Step-by-step explanation:

You want to know the difference in miles per hour between a satellite traveling 45000 miles in 5 hours and one traveling 79200 miles in 18 hours.

The speed in miles per hour is the ratio of miles to corresponding hours. The difference in miles traveled in one hour will be ...

  A speed - B speed

  45000 mi/(5 h) - 79200 mi/(18 h) = 4600 mi/h

Explorer B travels 4600 fewer miles in an hour than Explorer A.

<95141404393>

The function for the points are  y = -15x - 5

From the information given, we have that;

The points are;

(1/3,0) (-2 3/4,0) and (0,-5)

Using the point-slope form of a linear equation, we have;

y - y₁ = m(x - x₁)

Such that;

Using (1/3, 0) and (0, -5), we have that the slope is;

m = (0 - (-5))/0 -1/3)

expand the bracket

= 5 / (-1/3)

= -15

Now, take any of the given points and substitute the values

Using (1/3, 0), we get;

y - 0 = -15(x - 1/3).

y = -15x - 5.

Learn more about functions at: https://brainly.com/question/25638609

#SPJ1

The function for the points solved by  (1/3,0) (-2 3/4,0) and (0,-5) solved by point slope form is \(a=-15b-5\)

We have given the points:

(1/3,0) (-2 3/4,0) and (0,-5)

Using the formula of linear equation

\(a-\)\(a_{1}\)\(=x[b-b_{1}]\)                                                          

Where we will consider (1/3,0) = \(a-a_{1}\) and (0,-5) = \(b-b_{1}\)

that is 1/3 = \(a\), 0 = \(a_{1}\) and

0 = \(b\), -5 = \(b_{1}\)

\(x\) refers to the slope of line (take any variable)

Now for finding the value of \(x\),

\(x=a-a_{1}/b-b_{1}\)

inserting the values,

\(x=[0-[-5]]/[0-1/3]\\x= -15\)

Substitute the value of \(x\) in the equation

\(a-0=-15[b-1/3]\)

By simplifying the equation, we get

\(a=-15b-5\)

To know more about functions and points:

https://brainly.com/question/30721594

Answer:

18 cups

Step-by-step explanation:

Because there is 4 cups in a quart, we can turn 5 1/2 or 5.5 quarts into 22 cups:

5 1/2 or 5.5

( 5 x 4) + (0.5 x 4) = 22

Since we need to find how many cups were used, that is x. Because 22 cups is the total amount of cups and 4 is the amount remaining then the equation would look like this:

x + 4 = 22

Finally you solve to get:

x = 18 cups

Answer:

7 hours

Step-by-step explanation:

120 times 7 is $840, with double weekly tips. meaning she'll only have to work 7 hours! <3

Answer:

8%

Step-by-step explanation:

Answer: 8%

i googled it so yea

Answer:

I think its D.

\(Option\ D.\ x-2\ and\ x^{2} +6x-16\) represents the divisor and the dividend for the synthetic division problem given.

Synthetic division is a method for manually performing Euclidean division of polynomials, with less writing and fewer calculations than long division.

When you set up an equation using synthetic division write c for the divisor x - c.  Then write the coefficients of the dividend to the right, across the top.  Include any 0's that were inserted in for missing terms.

Learn more about synthetic division here

https://brainly.com/question/11850611

#SPJ2

Answer:

I DONT UNDERSTAND ANY OF THIS

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

Answer:

2.01

Step-by-step explanation:

all that is to it

\(\text{According to the condition, circumference,}\\\\~~~~~~~C_1=2\pi r=48~~~~~~~~~~~~~~~~...(i)\\\\\\~~~~~~~C_2 =2\pi \cdot(9r) =18\pi r~~~~~~...(ii)\\\\(ii) \div (i)\\\\~~~~~~\dfrac{C_2}{C_1} = \dfrac{18\pi r}{2\pi r} \\\\\\\implies \dfrac{C_2}{48}= 9\\\\\\\implies C_2 = 48\times 9\\\\\\\implies C_2 = 432~ \text{cm}\\\\\text{Hence, the new circumference is 432 cm.}\)

Answer:

432 cm

Step-by-step explanation:

the circumference (C) of a circle is calculated as

C = 2πr ( r is the radius )

If the radius is multiplied by 9 then the circumference will also be increased by a factor of 9

given C = 48 cm

then circumference of new circle = 9 × 48 cm = 432 cm

Answer:

  1108 in²

Step-by-step explanation:

You want the total surface area of the pentagonal prism shown.

The area of each of the two pentagonal bases is the sum of the area of the yellow rectangle and the area of the triangle above it. That sum is ...

  A = LW +1/2bh

  A = 5(12) +1/2(12)(9) = 12(5 +9/2) = 114 . . . . square inches

The lateral area of the prism is the sum of the areas of the 5 rectangles. That sum will be the product of the perimeter of the pentagonal base and the distance between bases.

  LA = (12 +5 +11 +11 +5)(20) = (44)(20) = 880 . . . . square inches

The total surface area of the figure is the sum of the two base areas and the lateral area:

  SA = 2(114 in²) +880 in² = 1108 in²

The surface area of the composite figure is 1108 in².

<95141404393>

Answer:

I think it is b

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

30%=

30/100=

3/10=0.3

0.3<1, and is 3/10 of 1.

Answer:

\(5.45 * 100000\)

Other:

\(545000\)

Answer:

X=0

Step-by-step explanation:

If you divide 0 by 15, it is the same thing as multiplying, so 1/15 times 0 is 0.

I hope it helped