Step-by-step explanation:
Hey there!
Here,
The equation is:
[tex]7 \sqrt{3 \: } {x}^{2} + 10x - \sqrt{3 } = 0[/tex]
Comparing the equation with ax^2+bx+c=0. We get;
[tex]a = 7 \sqrt{3} [/tex]
[tex]b = 10[/tex]
[tex]c = \sqrt{3} [/tex]
Now,
Discriminant= ?
We have,
[tex]discriminant = {b}^{2} - 4ac[/tex]
Put all values.
[tex]discriminant = {10}^{2} - 4 \times 7 \sqrt{3} \times \sqrt{3} [/tex]
[tex]discriminant = 100 - 4 \times7 \times 3[/tex]
[tex]discriminant = 100 - 84[/tex]
Therefore the discriminant = 16.
Hope it helps...
what is the opportunity cost of one gun in this nation
Your answer should be a polynomial in standard form.
(q^2-2q+5)(q^2-5)=
Answer:
q⁴ - 2q³ + 10q - 25
Step-by-step explanation:
Step 1: Write out expression
(q² - 2q + 5)(q² - 5)
Step 2: Distribute
q⁴ - 2q³ + 5q² - 5q² + 10q - 25
Step 3: Combine like terms
q⁴ - 2q³ + 10q - 25
GEOMETRY HELP!!
19. What is the coordinate of the midpoint of the segment formed by the two points you found in Exercises 17 and 18?
Please explain
Answer:
0
Step-by-step explanation:
To find the coordinate of the midpoint of segment QB, first, find the distance from Q to B.
QB = |4 - 8| = |-4| = 4
The coordinate of the midpoint of QB would be at ½ the distance of QB (½*4 = 2).
Therefore, coordinate of the midpoint of QB = the coordinate of Q + 2 = 4 + 2 = 6
OR
Coordinate of B - 2 = 8 - 2 = 6
Coordinate of the midpoint of QB = 6
Coordinate of W = -8
Coordinate of A = 0
distance from W to A (WA) = |-8 - 0| = |-8| = 8
The coordinate of the midpoint of WA would be at ½ the distance of WA = ½*8 = 4.
Therefore, coordinate of the midpoint of WA = the coordinate of W + 4 = -8 + 4 = -4
Or
Coordinate of A - 4 = 0 - 4 = -4
Coordinate of the midpoint of WA = -4
Now, let's find the midpoint between the two new coordinates we have found, which are -4 and 4
Distance of the segment formed by coordinate -4 and 4 = |-4 - 4| = |-8| = 8
Midpoint = ½*8 = 4
Coordinate of the midpoint = -4 + 4 = 0
Or
4 - 4 = 0
Jenna's retirement party will cost $9 if she invites 3 guests. If there are 5 guests, how much will Jenna's retirement party cost? Assume the relationship is directly proportional.
Answer:
$15
Step-by-step explanation:
3 guest = $9 (9/3 = 3 so each guest is $3)
so
5 guest = $15 (3 x 5 = 15)
25 more than 8 times a number is the same as 50 less than the product of -5 and the number.
Answer:
-5x-50=8x+25 solve that
13x= -75
-5.769
Step-by-step explanation:
One week, Caroline earned $183.20 at her job when she worked for 8 hours. If she is paid the same hourly wage, how much would she make the next week if she worked 13 hours?
Answer:
$297.70
Step-by-step explanation:
First, find her hourly wage:
183.20/8
= 22.9
Then, multiply this by 13:
22.9(13)
= 297.7
So, she will make $297.70 next week
Answer:
297.70
Step-by-step explanation:
Read the pdf named "Brain"
x+2/2x+3=y+1 rearrange and make x the subject
Answer:
x = y/2 - 1
Step-by-step explanation:
Solve for x:
2 x + 3 = y + 1
Hint: | Isolate terms with x to the left hand side.
Subtract 3 from both sides:
2 x = y - 2
Hint: | Solve for x.
Divide both sides by 2:
Answer: x = y/2 - 1
if Kyle's terrarium had a volume of 64 ft3 ,what would the edge length be?
Answer:
4 ft
Step-by-step explanation:
Volume of a cube = [tex]x^{3}[/tex] (where x equals the side/edge length)
V = [tex]x^{3}[/tex]
64 = [tex]x^{3}[/tex]
64 divided by 3 = 4 ft
What is -2(x + 3 ) = -2x-6
Answer:
0 = 0 (infinite solutions)
Step-by-step explanation:
-2(x+ 3) = -2x - 6
Multiply -2 to x and 3
-2x -6 = -2x - 6
Add 2x on one side to get zero, and add 6 to the other side to get 0
0 = 0
There are infinite solutions
Please help me understand
How to go from a percent to a decimal and please put an explanation and example. If you do not know the answer then don’t respond. I really need to understand this! Please
Example :When we divide 50 by 100 we get 0.5 (a decimal number). So, to convert from percent to decimal: divide by 100, and remove the "%" sign.
tyrone walked 8 miles in a walkathon at a speed of 2 mph how long was he walking
Answer:
4 hours
Step-by-step explanation:
Distance / Velocity = Time
In this case, 8 / 2 = 4
Jane builds a ramp made of a triangular prism and a rectangular prism. What is the volume
of the ramp?
7.5 m3
11.5 m
1 m
4 m
28 m
2 m
3.5 m
15 m
Answer:11.5
Step-by-step explanation:I’ve done this in a test before and that is the correct AnSwEr
I am doing math homework and need some assistance solving, 2(2t+4)=3/4(24-8t)
Answer:
They are equal
Step-by-step explanation:
If you do 2 plus 4 in the parentheses then that equals 6 and 6t time 2 is 12t because the t doesnt have a value therefore it sticks onto the answer and if you convert the 3/4 into .75 then you can subtract the 24 by 8t and get 16 then when you multiply the 16 by 3/4 it will take .75 off of 16 and the answer is the same therefore they are equal equations.
The product (x + 3y)(3x – y) =
Answer: 3x²-3y²+8xy
Step-by-step explanation:
When you multiply two factors, you want to use the FOIL method.
First
Outer
Inner
Last
(x+3y)(3x-y) [distribute by FOIL]
3x²-xy+9xy-3y² [combine like terms]
3x²+8xy-3y² [rewrite]
3x²-3y²+8xy
Now, we know the product is 3x²-3y²+8xy.
A candy factory has 2 machines that make pieces of candy. Machine A makes 984 pieces of candy
every 6 hours. Machine B makes 1,296 pieces of candy every 8 hours.
Which statement best compares the machines?
Machine B makes candy faster than machine A because machine B made more candy.
Machine A makes candy faster than machine B because machine A took less time.
Machine B makes candy faster than machine A because machine B made more pieces of
candy per hour.
Machine A makes candy faster than machine B because machine A made more pieces of
candy per hour.
For questions 1 - 6, solve each quadratic equation.
1. (x + 5)(x - 2) = 0
2. (3x - 1)(2x + 5) = 0
3. x^2-3x -4 = 0
4.2x^2 -5x - 3 = 0
5. x^2 - 16 = 0
6.9x^2 - 25 = 0
Answer:
1. -5
2. 1/3 (1 third)
3. -3
4. -1\2 (negative one and a half)
5.-4
6. 1.66666
Step-by-step explanation:
1. Let's solve your equation step-by-step. ( x + 5 ) ( x − 2 ) = 0 Step 1: Simplify both sides of the equation. x 2 + 3 x − 10 = 0 Step 2: Factor left side of equation. ( x − 2 ) ( x + 5 ) = 0 Step 3: Set factors equal to 0. x − 2 = 0 or x + 5 = 0 x = 2 or x = − 5. <—— this is for the first explanation
2. Step 1: Simplify both sides of the equation. 6 x 2 + 13 x − 5 = 0 Step 2: Factor left side of equation. ( 3 x − 1 ) ( 2 x + 5 ) = 0 Step 3: Set factors equal to 0. 3 x − 1 = 0 or 2 x + 5 = 0 x = 1 3 or x = − 5 2 Answer: x = 1 3 or x = − 5 2
<———— this is for the second explanation
3.Step 1: Factor left side of equation. ( x + 1 ) ( x − 4 ) = 0 Step 2: Set factors equal to 0. x + 1 = 0 or x − 4 = 0 x = − 1 or x
<———- this is for the third explanation
4.Step 1: Factor left side of equation. ( 2 x + 1 ) ( x − 3 ) = 0 Step 2: Set factors equal to 0. 2 x + 1 = 0 or x − 3 = 0 x = − 1 2 or x = 3
<—————- this is for the fourth explanation
5. Step 1: Add 16 to both sides. x 2 − 16 + 16 = 0 + 16 x 2 = 16 Step 2: Take square root. x = ± 16 x = 4 or x = − 4
<—————- this is for the fith explanation
6. Step 1: Add 25 to both sides. 9 x 2 − 25 + 25 = 0 + 25 9 x 2 = 25 Step 2: Divide both sides by 9. 9 x 2 9 = 25 9 x 2 = 25 9 Step 3: Take square root. x = ± 25 9 x = 1.666667 , − 1.666667
<—————- this is for the sixth explanation
Hope this helps :)
A boy flying a kite lets out 300 feet of string. The height of the kite is 185 feet. What is the angle
formed between the string and the ground?
Answer:
The string, the height and the ground form a right triangle
The hypotenuse = 300
height =185 = opposite side
sine of the angle = 185 / 300 = 0.6166666667
arc sine (.616666666666) =
38.073 degrees
Step-by-step explanation:
3x(x+30°) i really need help asap
A13x2+390x here is the answer
Answer:
x=15
Step-by-step explanation:
Simplifying
x + 30 = 3x
Reorder the terms:
30 + x = 3x
Solving
30 + x = 3x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3x' to each side of the equation.
30 + x + -3x = 3x + -3x
Combine like terms: x + -3x = -2x
30 + -2x = 3x + -3x
Combine like terms: 3x + -3x = 0
30 + -2x = 0
Add '-30' to each side of the equation.
30 + -30 + -2x = 0 + -30
Combine like terms: 30 + -30 = 0
0 + -2x = 0 + -30
-2x = 0 + -30
Combine like terms: 0 + -30 = -30
-2x = -30
Divide each side by '-2'.
x = 15
Simplifying
x = 15
Find all the zeros of the quadratic function.
y=x²-11x+18
arun had 50 rupees if he had spent 3 by 5 of his money on an alarm clock how much money is he left with him
Answer:
total money=rupees 50
3/5 of 50= rupees 30
money he spent = rupees 30
money he's left with =50-30=20
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Answer:
Step-by-step explanation:
like u told me social studis
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The product of Bart's age and 26 is 338. Write and solve a multiplication equation to find Bart's age. Yeah
Answer:
13 years old
Step-by-step explanation:
A product is 2 numbers that are multiplied together.
So, to find the unknown number, simply divide 338 by 26
338/26=13
Bart is 13 years old.
I NEED HELP ASAP!!!
you pay 9.70 for 2.5 pounds of roasted peanuts. You buy 1.4 pounds of almonds for 8.55 per pound.
How much less do roasted peanuts cost per pound than almonds?
How much more do you spend on almonds than on roasted peanuts.
$9.70 / 2.5lbs = $3.88 / pound of roasted peanuts.
$8.55 * 1.4lbs = $11.97 / 1.4 pounds of almonds
$8.55 - $3.88 = $4.67.
Roasted peanuts cost $4.67 less per pound than almonds.
$11.97 - $9.70 = $2.27
You spend $2.27 more on almonds than you do roasted peanuts.
what is the probability that jenny rolls a double 1
Answer:
1/36
Step-by-step explanation:
Assuming that there are 2 dice
There are 36 possible outcomes ( 6*6)
There is only one way to get 2 ones
P ( 1,1) = positive outcomes / total
=1/36
2120
Question #7MultipleChoice
Show Answer
Subtract the following fractions. (Reduce answers to lowest terms.)
3/10 - 1/4=
3/14
3/6
1/2
1/20
Answer:
1/20
Step-by-step explanation:
3/10 - 1/4
First, convert the fractions to a common denominator:
3/10 *2/2 = 6/20
1/4 * 5/5 = 5/20
Now put them back into the equation and solve:
6/20 - 5/20 = 1/20
Another way to do this:
3/10 - 1/4
Convert the fractions into decimals:
3/10 = 0.3
1/4 = 0.25
substitute back into the equation and solve:
0.3 - 0.25 = 0.05
convert back into fractions:
0.05 = 1/20
Help me plz !!!!!!!!!!!!!!!!!!!!!
Answer:
letter b. 30% decrease
Given f(x) = 5x - 4, find f(2).
Answer:
6
Step-by-step explanation:
f(x)=5x-4
f(2)=5(2)-4
10-4=6
pls help this is due in 30 min
Thank you sm
What is the simplest form of 63/91
Answer:
Step-by-step explanation:
9/13
divide them by 7
Which of these graphs do not represent constant rates of change? Check all that apply
Answer:
A and B
Step-by-step explanation:
help‼️✌⛓✌
also please try to answer as soon as possible
Answer:
do this then this then that and your done :D
Step-by-step explanation:
hope this helps :))