What are the roots of the equation?
10x2 - 6x + 4 = -3x
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
Which expression represents the calculation the sum of x and 8 is divided by 6?
Answer:
(x + 8) / 6
Step-by-step explanation:
The sum of x and 8, meaning x + 8 is being divided by six, so we group x + 8 in parentheses, and divide by 6 to get the answer
Which expression is equivalent to (7x3}(x8}
Answer:
[tex]168[/tex]
Step-by-step explanation:
Because we are missing the options to this question we will have to answer this question using what we know.
[tex]7\times3\times8[/tex]
Solve
[tex]7\times3=21[/tex]
[tex]21\times8=168[/tex]
[tex]=168[/tex]
All you have to do now is find the expression that also equals to 168, when you do that option is your answer.
Hope this helps.
Perla buys the star necklace that is originally $49.95 but is currently on sale for 62% off. If she gets an additional 20% off, what is the final price of the necklace?
Answer:
Step-by-step explanation:
Remark
It's not 82.
You have to take the 62% off and then follow it with 20% from the new price.
Solution
62%
If you get a reduction of 62%, it means that you pay 100% - 62% = 38% of the marked price of $49.95.
38% price =49.95 * 62/100
38% price = 3096.9 / 100
38% price = $30.97
20% Reduction
20% more means that you pay 100% - 20% = 80%
20% more reduction = 30.97 * 80/100
20% more reduction = 2478/100
20% more reduction = 24.78
Conclusion.
Your final price before taxes is $24.78
ahhhhhahh please help marking brain list
Answer:
Subtracts 12-4
Step-by-step explanation:
3x+4=12
you will move 4 to the other side to make it 12-4 it is minus because the sign changes when you move it.
Select all the expressions that are equivalent to 16x - 12 - 24x + 4
1) 4 + 16x - 12(1 + 2x)
2) 40x - 16
3) 16x - 24x - 4 + 12
4) -8x - 8
Answer:
(1) and (4)
Step-by-step explanation:
4 + 16x - 12(1 + 2x) = 4 + 16x - 12 - 24x
4 + 16x - 12 - 24x = 16x - 12 - 24x + 4
- 24x + 16x = -8x
- 12 + 4 = -8
Which creates -8x - 8
help with this please
answer needed urgently
Answer:
5
Step-by-step explanation:
If 30 equals 4 and 60 equals 7, then 40 will equal 5 and 50 will equal 6.
The sum of b and 3
Please this really important
Answer:
The answer to the question is b+3 (if you need an equation)
A $350 purchase is discounted 15%. You use a 20% coupon. What is the total paid?
Answer:
238 should be the answer
Step-by-step explanation:
These questions both go together if you answer them I'll give you brainliest !! :)
Answer: the answer is 2.5
Step-by-step explanation:
I just did that
There is an ample supply of identical blocks (as shown). Each block is constructed from four 1 × 1 × 1 unit-cubes glued whole-face to whole-face. What is the greatest number of such blocks that can be packed into a box that is 6 units tall, 7 units wide, and 8 units deep without exceeding the height of the box?
Answer:
9+9=1-6+9=890 so the awnser would be 8947
Answer:
8947
Step-by-step explanation:
gl
WELL, I NEED HELP AGAIN 3.0
Answer:
up by 4 left by 2
Step-by-step explanation:
What is (f*g)(x) f(x) = - x ^ 2 g(x) = x + 1
Answer:
Purplemath
First you learned (back in grammar school) that you can add, subtract, multiply, and divide numbers. Then you learned that you can add, subtract, multiply, and divide polynomials. Now you will learn that you can also add, subtract, multiply, and divide functions. Performing these operations on functions is no more complicated than the notation itself. For instance, when they give you the formulas for two functions and tell you to find the sum, all they're telling you to do is add the two formulas. There's nothing more to this topic than that, other than perhaps some simplification of the expressions involved.
MathHelp.com
Need a personal math teacher?
Given f (x) = 3x + 2 and g(x) = 4 – 5x, find (f + g)(x), (f – g)(x), (f × g)(x), and (f / g)(x).
To find the answers, all I have to do is apply the operations (plus, minus, times, and divide) that they tell me to, in the order that they tell me to.
(f + g)(x) = f (x) + g(x)
= [3x + 2] + [4 – 5x]
= 3x + 2 + 4 – 5x
= 3x – 5x + 2 + 4
= –2x + 6
(f – g)(x) = f (x) – g(x)
= [3x + 2] – [4 – 5x]
= 3x + 2 – 4 + 5x
= 3x + 5x + 2 – 4
= 8x – 2
(f × g)(x) = [f (x)][g(x)]
= (3x + 2)(4 – 5x)
= 12x + 8 – 15x2 – 10x
= –15x2 + 2x + 8
\left(\small{\dfrac{f}{g}}\right)(x) = \small{\dfrac{f(x)}{g(x)}}(
g
f
)(x)=
g(x)
f(x)
= \small{\dfrac{3x+2}{4-5x}}=
4−5x
3x+2
Step-by-step explanation:
Purplemath
First you learned (back in grammar school) that you can add, subtract, multiply, and divide numbers. Then you learned that you can add, subtract, multiply, and divide polynomials. Now you will learn that you can also add, subtract, multiply, and divide functions. Performing these operations on functions is no more complicated than the notation itself. For instance, when they give you the formulas for two functions and tell you to find the sum, all they're telling you to do is add the two formulas. There's nothing more to this topic than that, other than perhaps some simplification of the expressions involved.
MathHelp.com
Need a personal math teacher?
Given f (x) = 3x + 2 and g(x) = 4 – 5x, find (f + g)(x), (f – g)(x), (f × g)(x), and (f / g)(x).
To find the answers, all I have to do is apply the operations (plus, minus, times, and divide) that they tell me to, in the order that they tell me to.
(f + g)(x) = f (x) + g(x)
= [3x + 2] + [4 – 5x]
= 3x + 2 + 4 – 5x
= 3x – 5x + 2 + 4
= –2x + 6
(f – g)(x) = f (x) – g(x)
= [3x + 2] – [4 – 5x]
= 3x + 2 – 4 + 5x
= 3x + 5x + 2 – 4
= 8x – 2
(f × g)(x) = [f (x)][g(x)]
= (3x + 2)(4 – 5x)
= 12x + 8 – 15x2 – 10x
= –15x2 + 2x + 8
\left(\small{\dfrac{f}{g}}\right)(x) = \small{\dfrac{f(x)}{g(x)}}(
g
f
)(x)=
g(x)
f(x)
= \small{\dfrac{3x+2}{4-5x}}=
4−5x
3x+2
Determine which of the following pair of angles are complementary, supplementary or other
Answer:
I] 135+45=180
therefore supplementary angles
ii] 55+35=90
complementary angles
iii]55+45=100
neither
iv] 77+13=90
complementary angles
Which other expression has the same value as (-14)-(-8)
pls help
Answer:
-14+8
Step-by-step explanation:
Two minus signs directly next to each other are equivalent to a plus sign.
Answer:
-14.8 = -112 gitu aja sudah amat jangan maen game
Are the two triangles congruent? (picture attached)
Answer:
c
Step-by-step explanation:
WILL MARK YOU BRAINLIEST
Answer:
the answer is 3/2
Step-by-step explanation:
...........
work out, giving your answer as a mixed number:
4 2/3 + 1 3/4 =
Answer:
6 5/12.
Step-by-step explanation:
4 2/3 + 1 3/4
= 4 + 1 + 2/3 + 3/4
= 5 + 8/12 + 9/12
= 5 + 17/12
= 5 + 1 5/12
= 6 5/12.
Solve g(x) = h(x) for x:
g(x) = -2x - 2
h(x) = -4x – 8
a) ¿Cómo varia el volumen de una piramide en relación a su altura si el área de la base no cambia?
Answer:Step-by-step explanation:
Answer:
si cambia su volumen cada vez se pone mas fina la piramide
If 15 mL of a solution contains 75 mg of medication, how many mg of medication are in 60 mL of solution?
Given:
15 mL of a solution contains 75 mg of medication.
To find:
How many mg of medication are in 60 mL of solution?
Solution:
We have,
Medication in 15 mL of a solution = 75 mg
Medication in 1 mL of a solution = [tex]\dfrac{75}{15}[/tex] mg
= [tex]5[/tex] mg
Medication in 60 mL of a solution = [tex]60\times 5[/tex] mg
= [tex]300[/tex] mg
Therefore, 60 mL of a solution contains 300 mg of medication.
If the scale factor for the dilation shown is 3, which is
the length of B'C'?
O 5/3
O 8
O 12
O 15
Answer:
the answer is D, 13
Step-by-step explanation:
I just did the assignment
Answer:
D 15
Step-by-step explanation:
In the right triangle below, cos(x) = 12/13. Find sin(x).
х
Answer:
5/13
Step-by-step explanation:
tell me if it right ok
Help if you can please..
Answer:
78
Step-by-step explanation:
42+36=78
Answer:
78
Step-by-step explanation:
42 + 36 = 78
kekeke9ieie
3x - 2y = 7
[? ]x
y =
Your mum and your dad should help you with this
CAN SOMEONE HELP MEEE:) PLEASEEE!!
Answer:
E
Step-by-step explanation:
Answer: get the app Socratic! It will help so much all you do is take a picture of the question. And it is fast
Step-by-step explanation:
500 grams of quarters
Answer:
0.04409 quarter
Step-by-step explanation:
One winter day, the temperature was -15 degrees Fahrenheit. Later that day the temperature rose 12 degrees Fahrenheit to reach the high temperature for the day. If t represents the high temperature what is t.
-3
-15 plus 12 is -3
so T= -3
PLEASE HELP ME ASAP?!?!
Find the length of the missing side. Simplify all radicals. please show explanation!
Answer:
b = 12
Step-by-step explanation:
Using the Pythagorean Theorem:
a² + b² = c²
You can identify that 12√12 is the hypotenuse, as it is opposite to the right angle.
So:
12² + b² = (12√2)²
144 + b² = [(12√2) (12√2)]
144 + b² = (12 × √2 × 12 × √2)
144 + b² = (144 × 2)
144 + b² = 288
b² = 144
√b² = √144
b = 12
-8j+14=-2(4j-7) what is this answer ?
Answer:
Infinite amount of solutions.
Step-by-step explanation:
It's an interval notation. (∞,∞)
Answer:
0=0
Step-by-step explanation:
-2*4j+2*j
-8j+14=-8j+14
-8j+14-14=-8j+14-14
-8j=-8j
0=0
