2.) Consider the quadratic equation 6x^2+11x-10=0

A.) solve it by using zero product property

2.) Consider The Quadratic Equation 6x^2+11x-10=0 A.) Solve It By Using Zero Product Property

Answers

Answer 1

Step-by-step explanation:

Roots Theorem

[tex]6 {x}^{2} + 11x - 10 = 0[/tex]

Use the AC method,

The roots must multiply to -60 and add up to 11.

Those two numbers are 15 and -4

So we have know

[tex]6 {x}^{2} + 15x - 4x - 10 = 0[/tex]

[tex]3x(2x + 5) - 2(2x + 5)[/tex]

[tex](3x - 2)(2x + 5) = 0[/tex]

Set each binomial equal to zero

[tex]3x - 2 = 0[/tex]

[tex]3x = 2[/tex]

[tex]x = \frac{2}{3} [/tex]

[tex]2x + 5 = 0[/tex]

[tex]2x = - 5[/tex]

[tex]x = - \frac{5}{2} [/tex]


Related Questions

Choose all numbers that are divisible by 2 and 5
A 88520
B 76023
C 95067
D 74076
E 58453
F47650

Answers

Step-by-step explanation:

numbers divisible by 2 end with an even number (2,4,6,8,0)

numbers divisible by 5 end with either 5 or 0

Answer:

A,D, and F

Step-by-step explanation:

Any number that is even is divisible by 2.

A D and F are even numbers. If a number ends in 2,4,6,8, or 0 then it is an even number, so you can just look at the last number and determine weather it is divisible by 2.

Can someone help me pls​

Answers

Answer: The second option would be the answer

Step-by-step explanation:

Factoring the number is just listing all the whole numbers it can be divided by, and in this case it includes the variable. 16a is dividable by 1, 2, 4, 8, 16, and a; since 16a / a = 16. Apply this to 18b, and 1, 2, 3, 6, 9, 18, and b.

Pls help me I don’t know

Answers

Answer: Please give me more information, I am sorry :(

Step-by-step explanation: Please give me more information, I am sorry :(

( But I think is the length of the prism is 2cm ......)

Answer:

Step-by-step explanation:

The length of the prism is 2cm

Hope this helps!

Let V = {(x, y, 2x - 3y)|x, yeR}. Prove that V is closed for addition and scalar multiplication i.e. that V is the subspace of R.

The original question got deleted for "not having enough information". Ironic how this is the whole question. Mod must've not understood. Here's a repost with my answer.

Answers

Answer:

To prove V is a subspace of R, you must show:

(1) It is not empty

(2) Adding vectors returns real numbers

(3) Multiplying by scalars return real numbers

2 & 3 follow the conditions that x,y must be real.

===

(1):

0 = 0 + 0 , therefor V cannot be an empty set. Really thats it.

===

(2)

Let u=(u1, u2 , 2u1-3u2)

Let v *lowercase =(v1, v2, 2v1-3v2)

Great, now lets add them. This isn't intuitive unless you finish reading it all.

u+v = ( u1 + v1 , u2 + v2 , 2u1 - 3u2 + 2v1 - 3u2 )

--> u + v = [ (u1+v1), (u2+v2) , (2u1 + 2v1) + (-3u2 - 3v2) ] (got like terms kinda)

====> All must equal (x,y, 2x-3y)

... which means x=u1+v1 & y=u2+v2 (you compare u+v to V for this)

===

(3)

Let c be a real number.

C(u) = (Cu1, Cu2, C2u1 - C3u2)

====> Must equal (x,y, 2x-3y)

... which means Cu1 = x & Cu2 = y

Cu is in V (because x,y are)

-> V is a subspace of R3.

75% of the students are boys. There are 24 boys. What is the total number of students?

Answers

there are 32 students.

Answer: 32

Step-by-step explanation:

We can write the problem like this:

[tex]\frac{75}{100}x=24[/tex]

Then, we can multiply 100 to the equation:

[tex]75x=2400[/tex]

Now, we can divide 2400 and 75:

[tex]x=32[/tex]

Now we can conclude that the amount of students is 32.

How many places do you need to move the decimal to the left to write the
number below in scientific notation?
60,000,000,000
O A. 11
B. 12
C. 9
D. 10

Answers

It’s letter D, 10 places to the left
10 places to the left, D

Mr. Malone made a graph to represent the time his students spent studying for their tests throughout the unit and their actual test scores Use the two points that are marked on the line of best fit to answer the following questions .

Answers

Answer:

a. 4/3

b. Test scores in percentage

c. y=4/3x +50

d. 78

evaluate if x=5 xsquard+10=

Answers

Answer:

35!

Step-by-step explanation:

5squared is 25 so you then do 25+10 wich = 35!

i need help with this can you help me please​

Answers

Answer:

B

Step-by-step explanation:

The volume of the cube is the total amount of cubes in the box.

Because the box is a cube, and you know the formula for volume of cube is  L³

L³=125

∛L³=∛125

L=5

there would be 25 cubes in each layer, not 125. Because one layer is L²

Which degrees are more advanced than a four year bachelor's degree? Check all that appe
O a doctoral degree
a master's degree
D a high school degree
an associate degree

Answers

Answer:

A doctoral degree

A masters degree

Answer:

A,B

Step-by-step explanation:

Can someone help me please

Answers

9 bags sorry for the other answer

she has 7 boxes at home, then she goes and buys 6 more from the store, now she has 7 + 6 = 13 boxes of chips, each box of chip has 13 bags, so the total amount of potato chips I guess is 13 * 13 = 169 bags total.

So she split it even among her 9 students, so how many times does 9 go into 169?  169 ÷ 9, has a quotient of 18 with a remainder of 7.

18 * 9 = 162, plus 7 = 169, which is the total amount of potato chips bags.

someone answer this please

Answers

Answer:

Q3:

a) 5 and 6

b) 13 and 14

c) 9 and 10

d) 6 and 7

e) 19 and 20

f) 32 and 33

g) 0 and 1

h) 8 and 6

Q4:

a) 1

b) 2

c) 1

d) 2

e) 3

f) 3

g) 1

h) 2

i) 3

Step-by-step explanation:

for q3 u have to look the number before the dot and then add 1 to it

as for q 4 the decimal numbers are those number which are after the dot for example if ur number is 4.5 u have only one number after the dot THAT is ur decimal number, by the way even if there is a 0 after the dot it is still counted as decimal number

Use the graph to solve the system of equations.

Answers

Answer:

( -2 , 1 )

Step-by-step explanation:

Add the 2 equations downwards.

( -x+4y=6 ) + ( 2x-y=-5 )...consider the sign of each term.

= x + 3y = 1

Put -2 in x because that's where the graph above shows an intersection of the 2 equations.

-2 + 3y = 1

3y = 3

y = 1.

( x , y) = ( -2 , 1 )

What is the area of a circle whose radius is 15 inches? Round your answer to the nearest tenth of a square inch. ​

Answers

Answer:

706.86 in^2

Step-by-step explanation:

The formula for the area of a circle is [tex]A = \pi r^{2}[/tex]

Since your radius was given (15 in) the area is:

[tex]A=\pi (15)^{2} =225\pi =706.86 in^2[/tex]

eight more than three times a number is equal to the sum of the number and 10. find the number

Answers

Answer:

8+3x=x+10

2x=2

x=1

The number is 1

PLS HELP ME, PLS THIS IS DUE FIRST CORRECT ANSWER GETS BRAINLIEST​

Answers

Answer:

c

Step-by-step explanation:

the number goes to both of the numbers in the equation

A rectangle is drawn so that the width is 2 feet shorter than the length. The area of the rectangle is 48 square feet. Find the length of the rectangle.

Answers

Given :

Rectangle is drawn so that the width is 2 feet shorter than the length.The area of the rectangle is 48 sq feet.

To Find :

The Length of the rectangle

Solution :

We know that,

[tex]\qquad { \pmb{ \bf{Length \times Width = Area_{(rectangle)}}}}\: [/tex]

So,

Let's assume the width of the rectangle as x and the length will be (x + 2).

Now, Substituting the given values in the formula :

[tex]\qquad \sf \: { \dashrightarrow (x + 2) \times x = 48 }[/tex]

[tex]\qquad \sf \: { \dashrightarrow {x}^{2} + 2x = 48 }[/tex]

[tex]\qquad \sf \: { \dashrightarrow {x}^{2} + 2x - 48 = 0 }[/tex]

[tex]\qquad \sf \: { \dashrightarrow {x}^{2} +8x -6x- 48 = 0 }[/tex]

[tex]\qquad \sf \: { \dashrightarrow {x} (x +8) -6(x+8) = 0 }[/tex]

[tex]\qquad \sf \: { \dashrightarrow (x +8) (x - 6) = 0 }[/tex]

[tex]\qquad \sf \: { \dashrightarrow x = -8, \: \: x = 6 }[/tex]

Since, The width can't be negative, so the width will be 6 which is positive.

[tex]\qquad { \pmb{ \bf{ Width _{(rectangle)} = 6\:ft}}}\: [/tex]

[tex]\qquad { \pmb{ \bf{ Length _{(rectangle)} = 6+2=8 \: ft}}}\: [/tex]

please help me I need help

Answers

Answer:

23.16 your welcome

Step-by-step explanation:

Use substitution to solve the system of equations.
y=×+1.75
4×-2y=4
(4,4)
(3.75, 5.5)
(3.75, 0)
(5.5, 4)

Answers

(3.75, 5.5)

(Work is attached )
When using substitution , you substitute with a variable that is already by itself. In this case, the variable “y” is already by itself and equal to x+ 1.75 . you substitute that for the the y in the other equation and solve for the other variable which is “x”. After you solve for x , to find your y value, you have to substitute the x value in for either equation.

How to divide 400 by 40

Answers

Answer:

10 ez

Step-by-step explanation:

400÷40 it like. 10 ÷ into 100

By 10 that’s how u do it

Which polygon has parallel sides and at least one acute angle?

Answers

Answer: A

Step-by-step explanation:

I believe it is a the parallelogram because it has at least one acute angle on the bottom and at least 2 parallel sides

11+20+?-2=45 what is the missing number?

Answers

Answer:

16 i think hehe is it?.....

Answer:

16

Step-by-step explanation:

let ? be x then

11+20+x-2=45

29+x = 45

x = 45-29

x = 16

Use the drop-down menus below to state the sequence of transformations that maps Figure K onto Figure L in the animation below. Then use those transformations to determine: are the two figures congruent? Use the drop-down menus to explain why or why not.

Answers

Answer:

1)Reflection,reflection

2)are congruent because reflections are used

Step-by-step explanation:

You reflect figure K so it's upside down.

Then reflect over the y-axis to make it to figure L

The process of two reflections, one horizontally, then vertically will map the two figures

-Chetan K

A tree grows at the rate of 1½ inches every week. At this rate, how many weeks will it take the tree to grow 20.25 inches?

Answers

1.5 every week
Total is 20.25
So
20.25= 1.5 * weeks

Dose this equation make sense

If it dose then do you know how to rearrange it so it has weeks as the subject

How to do the math for 2d -9= -29

Answers

Answer:

d = -10

Step-by-step explanation:

Hey there!

Let's Solve:

2d - 9 = -29       => Step 1: Add 9 to both sides(becasue we are subtracting 9)2d = -20            =>Step 2: Divide both sides by 2(because we are multiplying by 2 in 2d)d = -10

-Chetan K

Help me please.......

Answers

Answer:

decompose

numerator

mixed number

Step-by-step explanation:

1. To DECOMPOSE is to break apart a number.

e.g. to decompose 853:  800 + 50 + 3

2. The NUMERATOR is the top number in a fraction (the bottom number is the denominator).

3. A number that has whole number part and fraction part is a MIXED NUMBER, e.g. [tex]6\frac23[/tex]

evestigation Grade 10 2.3 Suppose x represents the unit of calculating the resale in plot million of rands . Which of the following values of x gives the best value of the plot? Substantiate your answer with an appropriate calculation. x = 2 x. = 5 .x= -3
Conclusion:

Answers

Graphs are used to represent functions and equations

The best value of x is x = 5

How to determine the best value of x

From the question, we understand that x represents the unit of calculating the resale in plot million of rands

This means that x cannot be negative.

So, we have x = 2 and x = 5

The graph is not given.

So, we can assume that the graph is a linear function with a positive slope

For a linear function with a positive slope, the higher the x value, the higher the output value

Hence, the best value of x is x = 5

Read more about graphs and functions at:

https://brainly.com/question/14323743

Consider the equation below.
-2(5x + 8) = 14 + 61
The equation was solved using the following steps.
-10r - 16 = 14 + 6r
Step 1:
Step 2:
Step 3:
-163 – 16 = 14
-16= 30
Step 4:
30
=
-16
Step 5:
1 =
Complete the statements below with the process used to achieve steps 1-4.

Answers

Answer:

x = -91/10

Step-by-step explanation:

-2(5x + 8) = 14 + 61

-10x -16 = 75

-10x = 91

-10x/-10 = 91/-10

x = -91/10

The area of the triangle below is 38.28 square meters. What is the length of the base?

Answers

Answer:

8.8 m

Step-by-step explanation:

Area of triangle = 38.28 =  * b * 8.7b = 38.28 * 2 / 8.7b = 8.8 m

Are all prime numbers greater than 2 odd numbers? Are all composite numbers even numbers? Justify your response with examples.

Answers

Answer:

Yes and no

Step-by-step explanation:

Prime numbers greater than 2 are always odd because if they were even they would be divisible by 2, becoming composite. Not all composite numbers are even, some may be a multiple of two odd numbers. For example, 21 = 3*7

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