What are the roots of the equation?
10x2 - 6x + 4 = -3x

Answers

Answer 1

Answer:

(3 +/- i*sqrt(151) / 20 (no real solutions)

Step-by-step explanation:

10x^2 - 6x + 4 = -3x

Add 3x to both sides

10x^2 - 6x + 4 + 3x = -3x + 3x

10x^2 - 6x + 4 + 3x = 0

Add like terms

10x^2 - 3x + 4 = 0

We have to use quadratic formula to find the answers

For this equation, a = 10, b = -3 and c = 4

Note: +/- is plus or minus

Quadratic formula:

x = (-b +/- sqrt(b^2 - 4ac)) / 2a

x = (-(-3) +/- sqrt(-3^2 - 4(10)(4))) / 2(10)

x = (3 +/- sqrt(9 - 160)) / 20

x = (3 +/- sqrt(-151) / 20

x = (3 +/- i*sqrt(151) / 20

if there's a "-" sign inside a square root, it will give you an imaginary number.

Example:

-sqrt(9) = -3

sqrt(-9) = 3i (first you will ignore the "- " sign, then square the number. After finding the square root, take that '-' sign and turn it to an "i")

So for sqrt(-151), 151 is not a perfect square, so you will get a decimal number. Leave it as it is:

sqrt(151). We can't forget about the "-". Turn the minus into a sign.

It will be i*sqrt(151)

Imaginary numbers can't be simplified, so this is the answer.

(3 +/- i*sqrt(151) / 20


Related Questions

Find the missing number (i.e. the coefficient in front of x) so that the equation has no solutions: □x + 4 = 4x + 15

Answers

Answer:

X=8

Step-by-step explanation:

evaluate functions
g(0)=-x-2

Answers

Answer:

g(0) = -2

Step-by-step explanation:

g(x) = -x - 2

To find g(0), replace x with 0 in the equation.

g(0) = -0 - 2 = -2

A box has a length of 8 centimeters, a width of 7 centimeters, and a height of 5 centimeters. What is the total volume of the box?

A 616161 cubic centimeters

B 969696 cubic centimeters

C 250250250 cubic centimeters

D 280280280 cubic centimeters

Answers

The answer might be A or B I don’t know.

Find two integers whose sum is -3 and product is -70

Answers

Answer:

(-10) and 7

Step-by-step explanation:

-3 = (-10) +(7)= -3 (because + and - give you a - )

-70 = (-10) x (7)= -70

hope it answers your question correctly.

can someone pls help me with this before I fail

Answers

Answer:

Answer is C

Step-by-step explanat


7/8 x 3/5 simplified

Answers

Answer:

21/40

Step-by-step explanation:

First you multiply the numerators (7 & 3) to get 21, then denominators (8 & 5) to get 40, unfortunately it cannot be reduced

In the scenario that it could be reduced, I was taught to cross reduce. lets say we had 2/8 x 4/6

You could divide by four for the 8 (denominator) and 4 (numerator) getting you 2/4 and 1/6

Then you do the same thing for 2 (numerator) and (6 denominator) so 2/2 is 1 and 6/2 is 3

Leaving you with 1/4 x 1/3 making it easier to multiply, and you don't have to reduce! Hope this helps!!

Divya wants to make fruit smoothies for dessert. She purchases a container of rice milk for $3.49, two pounds of strawberries at $4.99 per pound, and six bananas at $0.75 each. How much did Divya spend on dessert? Show your work.
PLEASE HURRY

Answers

First you put them together and add all the prices up to get total and you will get the answer $9.23

Which expression is equivalent to

Answers

Answer:

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

Step-by-step explanation:

1/2 (2+ 3x -6)

1/2(3x-4)

3/2x - 2

You do the parentheses first because of PEDMAS.  So 1 combined the 2 and the -6.

Answer:

The first answer (3/2x - 5)

Step-by-step explanation:

You need to multiply 1/2 by 2 which gives you 1.  then when you multiply 1/2 by 3, you can't make it a whole number, so you make it a fraction and it then becomes 3/2x.  Lastly, you do 1/2 times -6 which gives you -3.  The equation goes from 1/2(2+3x-6) to then 1+3/2x-3.  Since 1 and 3 can be subtracted because they're both whole numbers, you do 1-6 which gives you -5.  The answer then becomes 3/2x -5

Hope this helped

can you help me please ​

Answers

23 degrees. 124+33=157. 180-157=23

The first equation in a system is 5x+2y=-4. Which equation gives a system with no solution.

Answers

Answer:

= 0.8 + -0.4y

Step-by-step explanation:

Simplifying

5x + 2y = 4

Solving

5x + 2y = 4

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2y' to each side of the equation.

5x + 2y + -2y = 4 + -2y

Combine like terms: 2y + -2y = 0

5x + 0 = 4 + -2y

5x = 4 + -2y

Divide each side by '5'.

x = 0.8 + -0.4y

Evaluate k + 26 when k = 10

Answers

Step-by-step explanation:

When k = 10

Then

k + 26

= 10 + 26

= 36

Hope it will help :)

Answer:

36

Step-by-step explanation:

k = 10

k + 26 =

10 + 26 =

36

PLEASE HELP ASAP!!! 50 points

Answers

in the order A, B, C
Yea in the order abc

OMg plzzz help due 5 minutes answer whatever u can and real answers plz

Answers

I am srry I don’t understand any of that

Hi. I need help with this question :

Question : y is such that
[tex]4y - 7 \leqslant 3y[/tex] and
[tex]3y \leqslant 5y + 8[/tex]:
I). What range of values satisfies both inequalities ?
II). Hence, express
[tex]4y - 7 \leqslant 3y \leqslant 5y + 8[/tex]
in the form of
[tex]a \leqslant y \leqslant b[/tex]
where a and b are both integers.

Please show workings.

Answers

Answer:

-4≤y≤7

Step-by-step explanation:

4y-3y≤7

y≤7

and

3y-5y≤8

-2y≤8

y≥-4

so, -4≤y≤7

9514 1404 393

Answer:

  -4 ≤ y ≤ 7

Step-by-step explanation:

Solve the inequalities separately, then identify the intersection of the solution sets.

4y -7 ≤ 3y

  y -7 ≤ 0 . . . . . . . subtract 3y

  y ≤ 7 . . . . . . . . . add 7

3y ≤ 5y +8

  0 ≤ 2y +8 . . . . . . subtract 3y

  -8 ≤ 2y . . . . . . . . . subtract 8

  -4 ≤ y . . . . . . . . . . divide by 2

The intersection of the sets y ≤ 7 and -4 ≤ y is given by ...

  -4 ≤ y ≤ 7

Find the radius, diameter and area
12 cm
radius
diameter
Blank 1:
Blank 2:
Blank 3:

I need help *^

Answers

Answer:

Hey mate.....

Step-by-step explanation:

If your diameter is 12cm then radius is = 6cm and to find the area use the formula pi.r. power 2.....

hope it helps you,

mark me as the brainliest....

Follow me

1 1/2 divided by 2 1/4​

Answers

1 1/2 : 2 1/4
= 3/2 : 9/4
= 3/2 x 4/9
= 2/3

Will give Brainliest!!!
What is the y=mx+b of the equation x+3y=−15

Answers

Answer:

y = -1/3x - 5

Step-by-step explanation:

First, we need to get y by itself so we subtract x from both sides, giving us:  3y = -x - 15

Secondly, we need to isolate the y, so we divided the 3 out on both sides giving us: y = -1/3x - 5 which is our answer.

I NEED TO TURN THIS IN BEFORE 8:15 PLEASE HELPPP

Answers

Answer:

4

Step-by-step explanation:

Suppose both factors in a multiplication problem are multiples of 10. Why might the number of zeroes in the product be different than the total number of zeroes in the factors?

Answers

Answer:

Multiplying factors whose products are multiples of 10 add to the number of zeros when factors are multiplied as multiples of 10s.

Step-by-step explanation:

Let the first five multiples of ten be

10*1= 10

10*2= 20

10*3=30

10*4=40

10*5= 50

Suppose we chose 20 and 50.

Now multiplying 20 with 50 we get

20*50= 1000

IF we count the total number of zeros in the factors ( 20 and 50) they are 2.

But the number of zeros in the product (1000) are 3.

This is because when we multiply 2 with 5 we get 10 which adds to the existing number of zeros ( i.e 2) and we get a total of 3 zeros.

And multiplying 10 with 50 we get

10*50= 500

IF we count the total number of zeros in the factors ( 10 and 50) they are 2.

But the number of zeros in the product (500) are also 2.

This is because when we multiply 1 with 5 we get 5 which does not add to the existing number of zeros ( i.e 2) and the total number of zeros remain the same.

Similarly multiplying 20 with 30 we get

20*30= 600

IF we count the total number of zeros in the factors ( 20 and 30) they are 2.

But the number of zeros in the product (600) are also 2.

This is because when we multiply 2 with 3 we get 6 which does not have a zero and the total  number of zeros remain the same as in the factors.

So we see that multiplying factors whose products are multiples of 10 add to the number of zeros when factors are multiplied as multiples of 10s.

Find the value of x in the equation below 5= x/6

Answers

Answer:

x=30

Step-by-step explanation:

Answer:

x=30

Step-by-step explanation:

To find the value of x in an equation, our goal is always to isolate it so that it's on one side of the equal sign while everything else is on the other. We can do this by performing inverse operations to cancel values out (for example, the inverse operation of addition is subtraction and the inverse operation of division is multiplication).

5=x/6

Because x is being divided by 6, we multiply both sides by 6 to cancel it out on the side with x.

5×6=(x/6)×6

5×6=x

30=x

I hope this helps!

FIND THE ORIGINAL PRICE SAW.
4. Nick's parents paid $435 for an x-box gaming system. This was after the 20%
Game Stop Loyal Customer member discount How much is the game console to
customers who are not Loyal Customer members?

Answers

Answer: $87

Step-by-step explanation:

The probability of picked a blue morble out of a bag of 50 marbles is 3/25. How Many marbles in the bag are not blue?​

Answers

Answer:

44

Step-by-step explanation:

22/25 = not blue

22 × 2 = 44

Write as a fraction with a whole number divisor: 35.7 ÷ 0.07

Answers

Answer:

510  

that the whole number

How do you solve fractions and multiplication in algebraic, ex:1/3× -4​

Answers

Answer: x=12

Step-by-step explanation:

1/3 x -4

1/3x=4               <---- First add 4 to each side of the equation (moves the "-4")

1/3x(3)=4(3)     <---- Muliply each side by "3" to get rid of the fraction

x=12

Express the interval using inequality notation,
-4,5

Answers

Answer:

First you mark me Brainlyist

Step-by-step explanation:

Then you you use the intervol of I don’t know then you ask someone else

Can someone help me PLEASE!!!!!!!!!!​

Answers

The second and third are incorrect

Answer:

1, 4, and 5

Step-by-step explanation:

18-2x5

18-10

8

6+4x4

6+16

22

6x9-9

54-9

45

7x9+1

63+1

64

4x6-6

24-6

18

Please help me ASAP, I NEED UR HELP?​

Answers

Answer:

3) yes, it is in the shaded region

4) no, it lies on a less-than line

5) yes, it lies on a greater-than-or-equal-to line

6) no, it isnt in the shaded region

Step-by-step explanation:

Answer:

3) yes

4) yes

5) yes

6) no

Step-by-step explanation:

the coordinites that are in the blue shaded area are yes

Please help me geometry

Answers

Answer:

ASA

Step-by-step explanation:

ASA Congruence Theorem

complete the statement of each of these rules:

a (+)×(?)=(+)
b (-)×(+)=?
c (?)×(-)=?​

Answers

Answer:

a) (+) × (?) = (+)

(?) = (+)

b) (-) × (+) = ?

? = (-)

c) (?) × (-) = ?

? is undefined

Step-by-step explanation:

a) (+) × (?) = (+)

From the given equation in the question, by dividing both side of the equation by (+), we have;

((+) × (?))/(+) = (+)/(+)

(?) = (+)/(+) = (+)

Therefore, we have;

(+) × (+) = (+)

(?) = (+)

b) (-) × (+) = ?

From the given equation in the question we apply the operation rules as follows;

(-) × (-) = (+)

(-) × (+) = (-)

Therefore;

(-) × (+) = ? = (-)

? = (-)

c) (?) × (-) = ?

From the rules of multiplication, we have;

(-) × (-) = (+)

(+) × (-) = (-)

Therefore, when (?) = (-), ? = +, from which we have;

(?) ≠ ?, which is an error

Similarly, when (?) = (+), ? = -, therefore, (?) and ?, always changes sign

Therefore, the equation, (?) × (-) = ?, is undefined.

please help me will give you brainliest!!

Answers

Answer:

Yes

No

No

Yes

Step-by-step explanation:

Is this ALEKS?

Answer:

-8 , -4 is a yes

1,4 is a yes

0, -7 is No

-3. -2 is No

Step-by-step explanation:

Pls branliest—0

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