Write the quadratic equation whose roots are 1 and -2, and whose leading coefficient is 3.
(Use the letter x to represent the variable.)
I = 0
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Answers

Answer 1

Answer:

See below

Step-by-step explanation:

The quadratic equation in factored form:

a(x - α)(x - β), where a- leading coefficient, α and β - roots

We have:

a = 3, α = 1, β = -2

Substitute them to get:

3(x - 1)(x + 2)

Converting this into standard form:

3(x - 1)(x + 2) =3(x² + x - 2) =3x² + 3x - 6

Related Questions

2. Find two equivalent ratios of the following ratios: a) 27 : 9 b) 7 : 35

Answers

Answer:

see explanation

Step-by-step explanation:

Equivalent ratios are found by multiplying or dividing the parts of the ratio by the same value.

27 : 9 ( divide both parts by 9 )

= 3 : 1

(b)

7 : 35 ( divide both parts by 7 )

= 1 : 5

Is this triangle a right triangle? Explain.

Answers

Answer:

hmm

Step-by-step explanation:

I can't see any triangle there..a right angled triangle is meant to look like this

can anyone help me pls

Answers

Answer:

88 degrees, 44 degrees

Step-by-step explanation:

The total of angles in a triangle is 180 degrees

so, 48+x+x-44=180

48-44+x+x=180

4+2x=180

-4 on both sides

2x=176

x=88

Maya is using shapes to create a repeating pattern. Which rule will give Maya a repeating pattern that has a triangle as the 20th shape?

A.
triangle, square, circle, circle

B.
square, triangle, circle, circle

C.
square, circle, circle, triangle

D.
circle, circle, triangle, square

Answers

Answer:

B.

square, triangle, circle, circle

Step-by-step explanation:

Answer:

  C.  square, circle, circle, triangle

Step-by-step explanation:

The repeating patterns are 4 elements long. Element 20 will be the last element in the 5th repeat of the pattern. That is, the triangle must be the last element of the pattern.

The rule in choice C has the triangle last.

I need help to find the radius

Answers

Answer:

Step-by-step explanation:

i think 0.6

what number could make this equations have no value of x. 3x+8 = 3x + ?

Answers

Answer:

All values of x :-

3x + 8 = 3x + 8 has Infinite solutions .

Just one value of X :-

3x + 8 = 3x + x is equal to 3x + 8 = 4x , which has one solution at x= 8 .

Step-by-step explanation:

I hope this helps you !!
?= anything
this is because the slope is the slopes are the same in both equations so they will cancel each other.

if f(x)=4(3x-5), find f^-1(x)

Answers

Answer:

f^-1(x) = (x+20) / 12

Step-by-step explanation:

f(x) = 4(3x-5)

Let y be the image of f.

y = 4(3x-5)

y = 12x-20

y+20 = 12x

x = (y+20) / 12

f^-1(y) = (y+20) / 12, so

f^-1(x) = (x+20) / 12

5x+7x=180 a.___
12=80 b.__
x=15 C.___

Answers

Answer:

5x + 7x = 180

x = 15

Step-by-step explanation:

5x + 7x = 12x

180/12 = 15

how many solutions does the quadratic function f(x)=-x²

Answers

Answer: 4

Step-by-step explanation:

 Slope = -2.000/2.000 = -1.000

 x-intercept = 0/1 = 0.00000

 f-intercept = 0/1 = 0.00000

x = 0

which of the following are equivalent

Answers

Where’s the question?

write the equation of the line with slope -3/2 passes through the point (-12,16)​

Answers

Answer:

Step-by-step explanation:

You have two pieces if information: the slope of a line and a point on the line. So you can use the "point-slope" formula in order to write the equation of this line. It is a fill-in-the-blank type of formula.

y - y1 = m(x - x1)

In this fill-in-the-blank formula the y1, the m, and the x1 will be filled in with the numbers you were given.

The problem gave the slope as -3/2 , this is your m. On these linear equation problems and formulas, m always stands for the slope.

So fill that in:

y - y1 = -3/2 (x - x1)

They also gave you a point, that is the (x1, y1) that you need to fill in the formula. The point was (-12, 16), so -12 will be your x1 and 16 will be your y1. Fill it in!

y - 16 = -3/2 (x - -12)

Simplify that ugly 'minus a negative' in the parenthesis.

y - 16 = -3/2 (x + 12)

If you were never told what form of equation to write, or they said "any form of the equation", then you're done!

This is in "point-slope" form.

y - 16 = -3/2(x+12) Ta-da!

If you need to change it to "slope-intercept' form then there are a few more steps.

y - 16 = (-3/2)x + (-3/2)12

y - 16 = (-3/2)x - 18

+16 +16

y = -3x/2 - 2 This is y=mx+b (called slope-intercept form)

which ratio is equivalent to the ratio 7:6

Answers

Answer:

B. 21:18

Step-by-step explanation:

7/6 x 3 = 21/18

This means they are equivalent.

Answer:

Option B is correct.

Step-by-step explanation:

Let's first turn 7:6 into a fraction:

=> 7:6 = 7/6

Now, let's simplify all the options to see which one is the correct answer.

Option A:

=> 14:18=> 14/18=> 7/9=> 7/9 ≠ 7/6

Therefore, Option A is incorrect.

Option B:

=> 21:18=> 21/18=> 7/6=> 7/6 = 7/6

Therefore, Option B is correct.

Option C:

=> 21:12=> 21/12=> 7/4=> 7/4 ≠ 7/6

Therefore, Option C is incorrect.

Option D:

=> 18:14=> 18/14=> 9/7=> 9/7 ≠ 7/6

Therefore, Option D is incorrect.

We can conclude that Option B is correct.

[tex]BrainiacUser1357[/tex]

What is the domain and range

Answers

Answer:

Step-by-step explanation:

Domain means what x's are on this graph, or what x's can you put into this equation. Range means what y's are in this graph or what y's can you get out if this equation. For y=x you can literally put in any x and get out any y, so the domain and range are both all real numbers. I couldn't see the choices on your drop down and there's several ways to write "all real numbers" as an answer. The absolute value graph y=|x| is a V-shaped graph so again, you can put in any x, but you only get positive numbers out (and 0, if you input 0) so the range us just all the y's that are 0 and bigger. That is y>=0. Again, there are several ways to write that such as {y | y>=0} or [0, infinity symbol)

The African elephant can weigh eight tons. A ton is two thousand
pounds. How many pounds can an African elephant weigh?

Answers

If
1 ton = 2,000 points

8 tons = (2,000) 8 pounds

= 16,000 pounds

Hope you find this helpful!
Brainliest and a like is much appreciated!

Can someone please help me with this one? Thank you I appreciate it!

Answers

Answer:

25.92 sorry if i get this wrong!

Step-by-step explanation:

So to do the math properly you have to convert the 7.20 into a fraction as well so the 7$ will be a while number and the .20 would be over 100 being 20/100 since there’s 100cents in 1$, so that would be 7 20/100 and since the pounds is 3 3/5 the denominators have to be the same so you’ll have to divide the 20/100 until you have a same denominator so if you dive the numerator and denominator by 5 you get 4/20 (20/5=4, 100/5=20) then again you divide them both by 4 being 1/5 so that would be 7 1/5 x 3 1/5 so for each of them you multiply the bottom and add the top so 7x5 = 35+1= 36 so that’s your new numerator but the denominator remains the same so 36/5 and you do the same with 3 3/5 you multiply 3x5=15+ the 3 = 18/5 so then that would be 36/5 x 18/5 now you multiply both the numerators and denominators equaling 648/25 then that equals to 25.92$


Vika made $35,500 last year. If her income is increased by 10.5%, what is her adjusted income,
Ai? (show equation).

Answers

Answer:

  $39,227.50

Step-by-step explanation:

Vika's income will be ...

  $35,500 + 10.5%×35,500 = $35,500(1 +0.105) = $39,227.50

Vika's adjusted income is $39,227.50.

What two expressions are equivalent to 6.5 divided by 1.3?

Answers

Answer:

65/13

650/130

Step-by-step explanation:

6.5/1.3

times 10: 65/13

times 100: 650/130

find three consectutive integers such that the sum of the second and third is -17

Answers

Answer:

-7, -8, -9

Step-by-step explanation:

-8 + -9 is -17

Which THREE sets of angles can be used to construct triangles? A) 50°, 65°, 65° B) 45°, 50°, 85° C) 20°, 60°, 100° D) 30°, 60°, 70° E) 20°, 45°, 120°

Answers

Answer:

A) 50°, 65°, 65°

B) 45°, 50°, 85°

C) 20°, 60°, 100°

Step-by-step explanation:

To see if the angles can be used to construct triangles, you have to check if the degrees add up to 180 (Since the degrees in a triangle always have to add up to 180 degrees).

A) 50° + 65° +  65° = 180° (Good!)

B) 45° +  50° +  85°  = 180° (Good!)

C) 20° +  60° +  100° = 180° (Good!)

D) 30° +  60° +  70° = 160° (Bad!)

E) 20° +  45° +  120° = 185° (Bad!)

.guys can you solve anything please ​

Answers

Answer:

3.a)2[tex]\sqrt[3]{2}[/tex]

5.a) x=2

Step-by-step explanation:

Answer:

1. If 3^x = 1 then x =0

Step-by-step explanation:

3^0 = 1

3. 2, 9 3, 7, 5, the median is 5

4.3,5,3,4,3 the mode is 3

5. A cube whose volume is 8^3 =(512cm^3)

3. B

Baby Deirdre wants to arrange 8 blocks in a row. How many different arrangements can the baby make?
There are
ways to arrange the 8 blocks.

Answers

I did some research and I think the answer is 255

plsss help mee i donot now the answer

Activity 1: Identifying Hypothesis and Conclusion Directions: Identify the hypothesis and the conclusion for each of the following statements.

1. If you live in Manila, then you live in the Philippines.

2. If a triangle is a right triangle, then one of its interior angle is a 90-degree angle.

3. A square is not a triangle.

4. An even number is divisible by 2.

5. The measure of an acute angle is less than 90.​

Answers

Answer:

1. If you live in Manila(hypothesis) then you live in the Philippines ( conclusion)

2. If a triangle is a right triangle (hypothesis), then one of its interior angle is a 90-degree angle ( conclusion)

3. A square is not a triangle (conclusion)

4. An even number is divisible by 2. (conclusion)

5. The measure of an acute angle is less than 90. (conclusion)

Help me please I need help

Answers

Answer:

a)25%

b)5%

Step-by-step explanation:

hope it will help goodbye

For 18-20, factor each of the following and show work.

18. 5x^4 - 25x

19. 4x^2 - 9

20. x^2+8x+12

Answers

Step-by-step explanation:

20. x^2+8x+12

x^2 + 6x +2x + 12

X(X+6) + 2(X+6)

(X+2) (X+6)

18. 5x^4 - 25x

5x(x^3-5)

19. 4x^2 - 9

4x^2/4 -9/4 = 0/4

x^2 = 9/4

X=√9/4

I need help please? ????????

Answers

Answer:

ummmmm i really don't get it but I think its 17/66

Step-by-step explanation:

multiply in to each fraction

y = 2x + 7
3x - 4y = -13

Answers

The answer would be (x,y) = (-3, 1)

Kashira has 3/9 of a pizza and Laila gave her 1/3 of a pizza. How much pizza does Kashira have now? Please provide your answer in simplest form. (NVM FIGURED IT OUT)

Answers

Answer:4/9 pizzas

Step-by-step explanation:

-3x + 4y = -15 and 4x - y = -19

Answers

Answer:

x=-7, y=-9. (-7, -9).

Step-by-step explanation:

-3x+4y=-15

4x-y=-19

---------------

y=4x-(-19)

y=4x+19

-3x+4(4x+19)=-15

-3x+16x+76=-15

13x=-15-76

13x=-91

x=-91/13

x=-7

4(-7)-y=-19

-28-y=-19

y=-28-(-19)

y=-28+19

y=-9

The diagrams may not be drawn to scale. Find the value of y. AC is a straight line. А 56° yº B 123° су

Please Help


Answers

Answer:The answer is y = 67°.Step-by-step explanation:56 + y + (180 - 123) = 180=> 56 + y + 57 = 180=> y = 180 - 113=> y = 67°Conclusion:

Therefore, the answer is y = 67°.

Hoped this helped.

[tex]-BrainiacUser1357-[/tex]

Solution:

Note that:

Interior angles of a triangle sum up to 180°

This means that...

56 + y + (180 - 123) = 180

Let's simplify the equation to find y.

=> 56 + y + (180 - 123) = 180

Simplify the LHS.

=> 56 + y + (57) = 180

=> 113 + y = 180

Subtract 113 both sides.

=> 113 - 113 + y = 180 - 113

=> y = 180 - 113 = 67°

Complete the ordered pair so that it is a solution of 2/3 x+ y - 1 = 0.

(-6,?)


3

4

5​

Answers

Answer:

i think y = 5 is answer

Step-by-step explanation:

good luck

Answer:

(-6, 5).

Step-by-step explanation:

2/3x+y-1=0

2/3(-6)+y-1=0

-12/3+y-1=0

-4+y-1=0

-4-1+y=0

-5+y=0

y=0-(-5)

y=0+5

y=5

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