Which statement about the equation 3x ^ 2 + 9x - 12 = 0 is true ? 1 . The product of the roots is -12 . 2 The product of the roots is -4 . 3 The sum of the roots is 3 . The sum of the roots is -9 .

Answers

Answer 1

Answer:

Option : The product of the roots is - 4

Step-by-step explanation:

[tex]3x^2 + 9x - 12 = 0\\\\3x^2 + 12x - 3x - 12 = 0\\\\3x(x+4) -3(x+4) = 0\\\\(3x - 3) (x+ 4) = 0\\\\[/tex]

Therefore the roots are -4 and 1

The product of the roots are -4 x 1 = -4


Related Questions

Which expression can be used to convert 100 USD to Japanese?

Answers

Answer:The expression that can be used to convert 100 USD to Japanese Yen is 100 USD = 100/Y Japanese Yen.

Step-by-step explanation:

what is energy efficiency

Answers

Answer:

The goal to reduce the amount of energy used to provide products and services; saving the earth vibes.

I’ve never understood this, please help!

Answers

Answer:

-80

Step-by-step explanation:

So basically what we need to do is find the value of x that satisfies the equation.

When I mean satisfy, I basically mean a value of x that makes one side of the equals sign equal to the other side of the equals sign.

So in this case, we need -6 = -6.

To find this lets solve the equaion step by step:

-6=x/8+4

So first off, you always want to get the variable on one side, and the number on the other.

This means you want to subtract the 4 from both sides, leaving x/8:

-6=x/8+4

-4       -4

-10=x/8

Whenever x is not 1x, you have to divide or multiply to get it equal to 1x.

If this is a bit confusing, here is an example:

100=10x

We need 1x, but above is 10x. The reason why we want 1x is because it is the lowest ratio, and most accurate x value.

You can think of it like a 1 dollar bill. Its easier and better to use than per say a 3 dollar bill.

So in the example above you would divide by 10, since 10x/10 would equal 1x.

Remember the rule however, that what you do on one side you must do on the other. This emans you would divide both sides by 10:

100/10 =10x/10

=

10=1x

We have in our equation:

-10=x/8

Our x is lower than 1. It x/8. Whenever we have a value of x greater than 1, we divide, like we did in the example. However here, it is below x. So we multiply.

In this case we multiply by 8, since its x/8:

-10 * 8 = x/8 * 8

=

-80=x

So x is equal to -80.

I hope you understand it better now :D

peter collects antique marbles. he has these two boxes full of marbles

Answers

Answer:

3 marbles

Step-by-step explanation:

and they have died inside too

Let f(x)=2(4)x+1−2. The graph of f(x) is translated 7 units to the left to form the graph of g(x).

Answers

This is what the following graph would look like:

can someone help me I forget how to do this.

Answers

Answer:

If i recall Maria collected 34 cicadas

Answer:

17 Cicadas

Step-by-step explanation:

62 - 28 divided by two will give us the amount Maria collected.

62 - 28 = 34

34/2 = 17

Maria had 17 cicadas.

How to verify:

17 + 28 + 17 Should equal 62

34 + 28 = 62

(5x)/7 - x/14 = 9/7 solve for the unknown value this is a linear equation​

Answers

Step-by-step explanation:

[tex]\longmapsto \rm \dfrac{5x}{7} - \dfrac{x}{14} = \dfrac{9}{7} \\ [/tex]

[tex]\longmapsto \rm \dfrac{10x + x}{14} = \dfrac{9}{7} \\ [/tex]

[tex]\longmapsto \rm \dfrac{11x}{14} = \dfrac{9}{7} \\ [/tex]

→ 11x(7) = 14(9)

→ 77x = 126

→ x = 126 ÷ 77

x = 1.63

Please help me solve my problem!!!

Answers

Answer:

The answer is E.

Step-by-step explanation:

A quadrilateral that has only one pair of parallel sides is called a Trapezoid.

Given that y is directly proportional to x. If y = 30 and x= 5, write an equation that connects y with x.

Answers

Given:

y is directly proportional to x.

[tex]y=30[/tex] when [tex]x=5[/tex]

To find:

The equation that connects y with x.

Solution:

It is given that, y is directly proportional to x. So,

[tex]y\propto x[/tex]

[tex]y=kx[/tex]                     ...(i)

Where, k is the constant of proportionality.

We have, [tex]y=30[/tex] when [tex]x=5[/tex]. Substituting these values in (i), we get

[tex]30=k(5)[/tex]

Divide both sides by 5.

[tex]\dfrac{30}{5}=k[/tex]

[tex]6=k[/tex]

Substituting [tex]k=6[/tex] in (i), we get

[tex]y=6x[/tex]  

Therefore, the required equation is [tex]y=6x[/tex].

What is the common ratio for this sequence: 4, -16, 64, -256, ...

A. R = - 2

B. R = - 4

C. R = 2

D. R = 4

Answers

Answer:

The answer is D I think :)))

The correct answer would be “R=-4”. Since we know it’s being multiplied by 4 each time, we just have to test it out. 4 times -4=-16 times -4=64 times -4=-256. However if we do the rule for r=4, we would have 4 times 4=16. 16 is not equal to -16. Therefore the answer would be R=-4

What is the equation of the line that is perpendicular to the given line and passes through the point (5, 3)?


A.) 4x - 5y = 5

B.) 5x + 4y = 37

C.) 4x + 5y = 5

D.) 5x - 4y = 8

Answers

Answer: A , 4x - 5y = 5

Step-by-step explanation:

i just did it , duhhh

Answer:

a

Step-by-step explanation:


Can I plsss get some helpp

True or False: The following lengths form a right triangle:
a = 8 units
b = 6 units
C = 10 units
10
op
6
O True
O False

Answers

Answer:

True is the correct answer

Answer:

I believe the answer is true

Mr yates owns a smoothie shop. To mix a batch of his famous orange punch smoothies, he uses 18 ounces of freshly squeezed orange juice. Each day he squeezes 560 ounces of fresh orange juice. How many batches of orange punch smoothies can he make in a day?

Answers

Answer:

31 batches

Step-by-step explanation:

Find how many batches of orange punch smoothies he can make by dividing 560 by 18:

560/18

= 31.11

Since we can only have a whole number answer, round down.

So, he can make 31 batches of orange punch smoothies.

can somebody help me with this question please!​

Answers

a (30)

fig 3 would take 18 triangle

fig 4 would take 30 small triangles

if its wrong i am sorry

Answer:

the answer is 33the answer is 18

PLZZ HELPPP!!!!!!!!!!

Answers

Answer:

$375.32

Step-by-step explanation:

100% - 40% = 80%

80/100 = 0.8 (multiplier)

521.28 x 0.8 = 417.024

417.024 to 417.02 (2 d.p.)

100 - 10 = (ans)/100 = 0.9

417.02 x 0.9 = 375.318

$375.32

Step 1: Find the sales price

The surfboard was marked down 40% of its original price, $521.28.

0.40(521.28) = 208.512

521.28 - 208.512 = 312.768

Step 2: Find the final price

We add the tax on the sales price, not the original price. The tax is 10% in this case.

0.10(312.768) = 31.2768

312.768 + 31.2768 = 344.0448

Final price = $344.04

---I did not round until the end in this case, but rounding at every step leads to an answer of $344.05

Hope this helps!

Which gives the correct values for points A,B,C, and D?

Answers

Answer:

The answer would be A

Step-by-step explanation:

Each column of the matrix represents a vertex of a triangle. If Rosa scales the triangle by finding 3T, what are the vertices of the scaled triangle?
(3, 3), (3, 9), (9, 3)
(0, 0), (0, 6), (6, 0)
(3, 3), (0, 9), (9, 0)
(0, 0), (0, 9), (9, 0)

Answers

Answer:

(0,0), (0,9), (9,0)

Step-by-step explanation:

The matrix corresponding vertices are:

(0,0)

(0,3)

(3,0)

Rosa scales by 3T, so we need to multiply each point by 3.

(3*0, 3*0)

(0*3, 3*3)

(3*3, 0*3)

=

(0,0)

(0,9)

(9,0)

last answer choice is right.

pls mark me brainly

The vertices of the scaled triangle, 3T is, (0, 0), (0, 9), (9, 0).

What is a scale factor?

The scale factor defines a variable in a ratio of two different measurements.

Sometimes drawings of large models are represented in a scale factor of a smaller unit.

Given, A matrix [tex]T=\begin{bmatrix}0 & 0 & 3\\0 & 3 & 0\end{bmatrix}[/tex] represents the vertices of a triangle.

Let, ABC be the triangle,

So, A(0, 0), B(0, 3), C(3, 0).

Now, If [tex]T=\begin{bmatrix}0 & 0 & 3\\0 & 3 & 0\end{bmatrix}[/tex], Then [tex]3T=3\begin{bmatrix}0 & 0 & 3\\0 & 3 & 0\end{bmatrix}[/tex].

Therefore, [tex]3T=\begin{bmatrix}0 & 0 & 9\\0 & 9 & 0\end{bmatrix}[/tex].

Hence, The new vertices are, (0, 0), (0, 9), (9, 0).

learn more about matrices here :

https://brainly.com/question/11367104

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The original price of a computer was reduced by 225 dollars. The new discounter price is 1274 dollars.

Answers

Answer:

1499

Step-by-step explanation:

Given that :

New discounted price = 1274

Let original price = p

Reduction in original price = 225

Original price is the sum of the reduction and the new discounted price

The Original price = Reduction in original price + new discounted price

P = 225 + 1274

P = 1499

Hydro Sunday in a right triangle the sum of the squares of the leg length is equal to the square of the high-profile tenseness length

Answers

Answer: hello your question is vague hence i will provide a more general answer

Area of a right angled triangle = 1/2 * b * h

Step-by-step explanation:

For a right- angled triangle; the sum of squares of the opposite and adjacent sides = square of the longest side ( i.e. hypothenuse )

hence the Area of a right angled triangle = 1/2 * b * h

where : b = adjacent , h = opposite side

Graph 8x-2y=1 and 4x+y=3

Answers

Answer:

no thanks i dont feel like doing all that work to help u. i apologize my dear friend bahahahahahahahahahahhahaha

Step-by-step explanation:

Problem 2 : Using in the pattern in the image below, how many dots would be in Step 4

Answers

Answer:

20

Step-by-step explanation:

One pattern is that we are adding one row and one column for each step.

The first step has 1 row and 2 columns,

the second one has 2 rows and 3 columns,

and the third has 3 rows and 4 columns.

Thus, it would make sense for the fourth step to have 4 rows and 5 columns. This makes a rectangle with a length and a width, with the area of the rectangle being length * width. 4 * 5 = 20 as our number of dots

if you horizontally shift the square root parent function f(x)=√x left two units what is the equation of the new function​

Answers

Answer:

[tex] \sqrt{x + 2} [/tex]

If you horizontally shift the square root parent function f(x)=√x left two units the equation of the new function is: g(x) = √(x + 2).

What is horizontal shift?

A horizontal shift is a function transformation that shifts a graph to the left or right without changing its shape.

If we want to shift the square root parent function f(x) = √x two units to the left, we must replace the argument x with (x + 2), because a positive value of x + 2 gives us the same x value two units to the left.

So the equation of the new function is:

g(x) = √(x + 2)

This new function is the square root function shifted two units to the left. For any given input value of x, we add 2 to it before taking the square root. This causes the graph to shift horizontally to the left by two units.

Thus, g(x) = √(x + 2) will be the new function.

For more details regarding horizontal shift, visit:

https://brainly.com/question/20518934

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plz help me I will give u branist and like u back plz help me I will also follow u​

Answers

I’m pretty sure it’s 5000

Answer:

hi, the answer is Nu5000

250×20=5000

What is the range of the function?
O all real numbers
O all real numbers greater than 0
O all real number less than or equal to 0
O all real numbers greater than or equal to 0

Answers

2. All real numbers greater than 0

[tex]{(\frac{4}{3}) ^{-1} - (\frac{1}{4} )^{-1})}^{-1}[/tex]
Pls include steps

Answers

Step-by-step explanation:

(4/3)–1 = 3/4 and (1/4)–1 = 4/1

now we have,

(3/4 - 4)–1 = (-13/4)–1

= -4/13

Daniel trabalha em um zoológico e cuida da parte tá comida dos leões . nesse zoológico, a quantidade de carne que eles consomem é proporciao ao seu peso. Se um dos leões pesa 18arroubas, qual o corespondente em kg

Answers

Answer:

270kg!

Step-by-step explanation:

The lengths of the sides of a rectangle are in a ratio of 4:7. If the length is 31.5 in, find the width, perimeter, and area of this rectangle.

Answers

Answer:

L = 31.5 w = (4/7)31.5 = 18 p = 2 * 31.5 + 2 * 18 A = 31.5 * 18

Step-by-step explanation:

The measures of the angles of a triangle are shown in the figure below. Solve for x.

Answers

Answer:

x = 46°

Step-by-step explanation:

64° + 70° + x = 180°

x = 180° - 64° - 70°

x = 46°

in isosceles Triangle RST below what is the value of y​

Answers

Answer:

second option

Step-by-step explanation:

y + y + 38 = 180 degree ( sum of interior angle of a triangle is 180 degree)

2y = 180 - 38

y = 142/2

y = 71 degree

Answer:

71 degrees

Step-by-step explanation:

Hi there!

All the interior angles of a triangle add up to 180 degrees.

Knowing this, we can construct the following equation:

[tex]180=y+y+38\\180=2y+38[/tex]

Subtract 38 from both sides

[tex]180-38=2y+38-38\\142=2y\\71=y[/tex]

I hope this helps!

Students are asked to estimate the number of gumballs in a jar. Sam says there are 228 gumballs. In actuality, there are 240 gumballs. What is the percent error

Answers

Answer:

5%

Step-by-step explanation:

Percent error = (actual - estimated) / actual x 100

(240 - 228) / 240 x 100 = 5%

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