write y=x²+6x-1 in terms of r, given x/r=-3​

Answers

Answer 1

Given:

[tex]y=x^2+6x-1[/tex]

[tex]\dfrac{x}{r}=-3[/tex]

To find:

The given equation in terms of r if [tex]\dfrac{x}{r}=-3[/tex].

Solution:

Given that,

[tex]\dfrac{x}{r}=-3[/tex]

[tex]x=-3r[/tex]

We have,

[tex]y=x^2+6x-1[/tex]

Substitute x=-3r in the above equation.

[tex]y=(-3r)^2+6(-3r)-1[/tex]

[tex]y=9r^2-18r-1[/tex]

Therefore, the required equation in terms of r is [tex]y=9r^2-18r-1[/tex].


Related Questions

Here are two similar rectangles.
4 cm
4.8 cm
7 cm
Work out the area of the larger rectangle.

Answers

Answer:

[tex]40.32cm^{2}[/tex]

Step-by-step explanation

4*1.2=4.8

7*1.2=8.4

8.4*4.8=40.32

A rectangle is a two-dimensional shape where the length and width are different.

The length and width of the larger rectangle are 4.8 cm and 8.4 cm.

The area of the larger rectangle is 40.32 cm².

What is a rectangle?

A rectangle is a two-dimensional shape where the length and width are different.

The area of a rectangle is given as:

Area = Length x width

We have,

Two similar rectangles:

Smaller rectangles:

Length = 4 cm

Width = 7 cm

Larger rectangles:

Length = 4.8 cm

We need to find the width of the larger rectangle.

Since the two rectangles are similar.

4 cm = 4.8 cm

Multiply 7/4 on both sides.

7/4 x 4cm = 7/4 x 4.8 cm

7 cm = 8.4 cm

Now,

Larger rectangle:

Length = 4.8 cm

Width = 8.4 cm

Now,

The area of the larger rectangle:

Area = Length x width

Area = 4.8 x 8.4

Area = 40.32 cm²

Thus,

The area of the larger rectangle is 40.32 cm².

Learn more about rectangles here:

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Kaitlin runs 6 miles in 50 minutes at the same rate how many miles would she run in 35 minutes

Answers

Answer:

4.2 miles

Step-by-step explanation:

6/50=.12

.12*35=4.2 miles

How much time will Alex need to walk to his school, which is 2 1/4 miles away from his house, if he would walk with the speed of

4 1/2 mph

Answers

It would take him 30 mins

select a pair of numbers that have a sum of 9 and a difference of 1

Answers

Answer:

The two numbers with the sum of 9 and difference of 1 is 5 and 4.

Step-by-step explanation:

Answer:

The answer is 4 and 5.

Step-by-step explanation:

4+5 = 9

5-4 = 1

MARK ME BRAINLIEST!!

Lea wrote a number riddle. Her clues were:

9 is 10 times the value of the 9 in 329,513
2 is 110 the value of the 2 in 7,562
6 is 110 the value of the 6 in 4.68
Which number is an answer to Lea's riddle?

Answers

Answer:

498,173.26

Step-by-step explanation:

eggeggeggeggeggeggeggeggeggeggeggeggeggeggeggeggeggeggeggeggeggeggeggeggeggeggeggeggeggeggeggeggeggeggeggeggeggeggeggeggeggeggeggeggeggegg

Answers

Answer: Explain it better please.

Step-by-step explanation:

the answer is -9, -2.2

(-4,-5) (36,11)

divide

36 / -4

and

11 / -5

=

-9, -2.2

The midpoint is (16, 3) you can find this by using the midpoint formula - (x1+x2)/2 , (y1+y2)/2 -4+36 = 32/2 = 16 which is the X, then -5+11= 6/2 = 3 :)

pls help me with this i will give crown

Answers

Answer:

C

Step-by-step explanation:

The easiest way to solve this would be to find the difference between the numbers. We can do [tex]-3-(-9)[/tex] to find the difference of [tex]6[/tex]. We can then make sure this is true for the rest of the sequence by adding 6 to each number.

[tex]-9+6=-3[/tex]

[tex]-3+6=3[/tex]

[tex]3+6=9[/tex]

[tex]9+6=15[/tex]

Now that we've verified that this is true, we know the answer is C

Answer:

u on go to padlet now

Step-by-step explanation:

which polynomial function has zeros when x= -2, 3/4, 5

Answers

Answer: f(x)=(x+2)(4x-3)(x-5)

Step-by-step explanation:

Alg2.2.5 practice 2

Polynomial function has zeros when  x=[tex]-2, \frac{3}{4} , 5[/tex] is

[tex]4x^3-15x^2-31x+30[/tex]

Given :

polynomial function has zeros when x= -2, 3/4, 5

Lets write the zeros in factor form

If 'a' is a zero , then factor is (x-a)

The given zeros are [tex]-2, \frac{3}{4} , 5[/tex]

lets write all the three zeros in factor form

[tex](x-(-2)) (x-\frac{3}{4})(x-5)\\(x+2)(4x-3)(x-5)[/tex]

Now multiply the parenthesis to get the polynomial

[tex]\left(x+2\right)\left(4x-3\right)\left(x-5\right)\\\left(4x^2+5x-6\right)\left(x-5\right)\\4x^2x+4x^2\left(-5\right)+5xx+5x\left(-5\right)-6x-6\left(-5\right)\\combine \; like \; terms\\4x^3-15x^2-31x+30[/tex]

polynomial function has zeros when x= -2, 3/4, 5 is

[tex]4x^3-15x^2-31x+30[/tex]

Learn more : https://brainly.com/question/21970844

What is the slope of the line shown below?
A. -2/3
B.-3/2
C. 3/2
D. 2/3

Answers

Answer:

-2/3

Step-by-step explanation:

On a school trip, a class travels 22 kilometers by train and 9.36 kilometers by bus. How far did the class travel?

Answers

Answer:

Just add

Step-by-step explanation:

22 + 9.36 = ?

22 + 9.36 = 31.36

So, they traveled 31.36 kilometers.

The class traveled 31.36 kilometers

who can answer this gets all my points, and I'm not giving you five.
Got it!?
answer!
please....plz​

Answers

Answer:

Spaces are as below:

1. 122. 36 (as 12*3= 36)3. 12 (as 12/1= 12)4. 12 (as 36/3= 12)5. Equal (or same whatever is close)6. Is7. y = 12x

There are 10 marbles in a bag 1/5 are red and the others are blue. What is the ratio of red to blue marbles?

Answers

Answer:

1:4 ratio

Step-by-step explanation:

The Answer is a 1:4 ratio because 1/5 of 10 is 2 and 4/5 of 10 is 8 so the ratio would look like 2:8. You would then simplify 2:8 to 1:4.

Ratio of red to blue marbles is 1:5

An equation is used to show the relationship between two or more numbers and variables.

10 marbles in a bag 1/5 are red and the others are blue.

number of red marbles = 1/5 * 10 = 2

number of blue marbles = 10 - 2 = 8

Ratio of red to blue marbles is 2:8 = 1:5

Find out more on equation at:https://brainly.com/question/24868934

HELP ASAP SOS!!!
QUESTION : write a 4 step proof that triangle ABD is congruent to ABD

Answers

Here are a few reasons:

The triangles have the same three sides

The triangles have the same three angles

The triangles could perfect overlap one another

They have corresponding angles.

Not sure if this helped but I hope so!

3y-9x=21
standard to slope intercept simplified

Answers

Answer:

y=3x+7  I think

hope this helps!

Answer:

[tex]y=3x+7[/tex]

Step-by-step explanation:

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

[tex]3y=9x+21[/tex]

[tex]\frac{3y}{3}=\frac{9x}{3} +\frac{21}{3}[/tex]

[tex]y=3x+7[/tex]

How can you use powers and exponents to express known quantities

Answers

The most common ways is to indicate orders of magnitude through multiplying by powers of 10. I expect you’re at least seen something like 6.022∗1023

show up in your texts. The important part for this discussion is 1023

, because it gives us an idea of just how large this value is. If we wrote it all out, it would be: 602,200,000,000,000,000,000,000. You can do the same thing in the other direction, too. 10−28
Common value for certain types of physics, but a very, very small one.

Alternately, when dealing with probability, the function for determining the probability of series of independent events with the same odds is

where p is the probability of a certain outcome and n is the number of times the event occurs. For example, if we want to know what the odds of getting five heads in a row while flipping a coin we’re looking at 125
or 132

But the thing with powers of 10 is the most common I’ve seen, it even occasionally gets named Scientific Notation.

What is 1/100 of 1.9 ?

Answers

Answer:

0.019

Step-by-step explanation:

1/100 = 1%

Do 1% of 1.9

and you get =

0.019

Hope this helps! <3

Answer:

0.019

Step-by-step explanation:

1/100=0.01

0.01×1.9=0.019

Solve: sqrt(x+9) = x-3

Answers

The answer is (x-3) = 2 lol

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[tex] \sqrt{x + 9} = x - 3[/tex]

Sides gets power 2

[tex] ({ \sqrt{x + 9} })^{2} = ( {x - 3})^{2} [/tex]

[tex] |x + 9| = {x}^{2} - 6x + 9 [/tex]

_________________________________

[tex]x + 9 = {x}^{2} - 6x + 9[/tex]

Subtract sides 9

[tex]x + 9 - 9 = {x}^{2} - 6x + 9 - 9[/tex]

[tex]x = {x}^{2} - 6x[/tex]

Subtract sides x

[tex]x - x = {x}^{2} - 6x - x[/tex]

[tex] {x}^{2} - 7x = 0[/tex]

[tex]x(x - 7) = 0[/tex]

[tex]x = 0[/tex]

OR

[tex]x - 7 = 0[/tex]

[tex] x = 7[/tex]

_________________________________

[tex]x + 9 = - ( {x}^{2} - 6x + 9)[/tex]

[tex]x + 9 = - {x}^{2} + 6x - 9[/tex]

Subtract sides 9

[tex]x + 9 - 9 = - {x}^{2} + 6x - 9 - 9 \\ [/tex]

[tex]x = - {x}^{2} + 6x - 18 [/tex]

Subtract sides x

[tex]x - x = - {x}^{2} + 6x - 18 - x [/tex]

[tex] - {x}^{2} + 5x - 18 = 0[/tex]

Multiply sides by -1

[tex] {x}^{2} - 5x + 18 = 0 [/tex]

[tex]x = No \: \: solution[/tex]

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CHECK the roots :

[tex]x = 0[/tex]

[tex] \sqrt{0 + 9} ≠0 - 3[/tex]

[tex] \sqrt{9} ≠ - 3[/tex]

[tex]3≠ - 3[/tex]

Thus (( x = 0 )) is unacceptable.

+++++++++++++++++++++++++++++++++++++++

[tex]x = 7[/tex]

[tex] \sqrt{7 + 9} = 7 - 3[/tex]

[tex] \sqrt{16} = 4[/tex]

[tex]4 = 4[/tex]

Thus (( x = 7 )) is the only solution for x.

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Done...

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HELPPPP!!!
The LCM of 50, 120, and 225 is 5.


True or False

Answers

False, the LCM of 50, 120 and 225 is 1800.

5 is the GCF of 50 120 and 225, not the LCM.

Hope it helps!

Answer:

The answer is False

Step-by-step explanation:

5 is the smallest number that can fit into all 3 numbers.

Determine,se existir,a inversa da matriz abaixo:
A= (1 2)
(1 3)

Answers

Answer:

which principle prevents a brach from abusing  its power

Step-by-step explanation:

How many kilograms did the elephant
weigh at birth?

Answers

Answer:

The option not listed

Step-by-step explanation:

The other options don't make sense when comparing it to the graph.

If g(x)=
x+1
and h(x) = 4 – x, what is the value of (9.0) (-3)?

Answers

Answer:it’s b

Step-by-step explanation:

On edn

Triangle ADB is congruent to triangle ? Please HELP!!

Answers

Answer:

CBD

Step-by-step explanation:

please help! thank you!

Answers

Answer:

I believe the answer is c not a hundred percent sure

Please help I've been staring at this thing for 30 minutes it says I have to match the segments with its measure I don't understand what goes where :(

Answers

Answer:

I believe AC=63, BG=28, GC=38, And AE=70. So really just like how it's listed in order. If you need further Help, please let me know!

Step-by-step explanation:

Select whether each value for x will make the inequality below a True or False statement. x + 2 > 5.8

3 True or False
6 True or False
7.1 True or False
5/3 True or False
19/5 True or False
45/7 True or False

Answers

Answer:

Pretty Sure It's, B, C, F, H

Step-by-step explanation:

Because, If you put each in decimal form and compare it with 5.8, just find out the bigger number and BOOM, you got ya answer!

Answer:

B C F H

Step-by-step explanation:

hope this helps can i please have brainliest that would be great

Answer these question for brainlist and 5 stars

Answers

Answer:

3. Em dash

4. En dash

Step-by-step explanation:

A rectangle has side lengths of 2x - 1 and x + 1. If the rectangle's area is 90 square inches, what is its perimeter?

Answers

Answer:

39

Step-by-step explanation:

x=6.5

2(6.5)-1=12

6.5+1=7.5

12+12+7.5+7.5=39

someone please help me ASAP

Answers

Answer:

Step-by-step explanation:

1. 9.6x10^4

2. 7.2x10^8

3. 1.19x10^-7

4. 9.48x10^-3

5. 2.04x10^8

Name the remainder for the quotient and describe or show how you found the remainder.

Answers

Answer:

remainder = 0

Step-by-step explanation:

Using the remainder theorem

If f(x) is divided by (x - h) then the remainder is f(h)

Here f(x) = x³ - x² - 17x - 15 and h = 5 , thus

f(5) = 5³ - 5² - 17(5) - 15 = 125 - 25 - 85 - 15 = 0 ← remainder

Since remainder is zero then (x - 5) is a factor of f(x)

what is the distance between the points (0,-1) and (8,7)

Answers

[tex]Distance=\sqrt{(x_{2}-x_{1})^2(y_{2}-y_{1} )^2} \\\\\sqrt{(8-0)^2(7-(-1) )^2}\\\\\sqrt{8^2+8^2} \\\\\sqrt{64+64}\\\\ \sqrt{128} =8\sqrt{2} \\\\[/tex]

Answer:

11.3

Step-by-step explanation:

11.3

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