Answer:
x = 2.36603 or 0.633975
Step-by-step explanation:
Here we want to solve the quadratic equation using the completing the square method.
2x^2-6x + 3 = 0
divide through by 2 first;
x^2 -3x + 3/2 = 0
x*2 -3x = -3/2
Half the x term will be -3/2 and squaring it is 9/4
we add this to both sides
x^2-3x/2 + 9/4 = -3/2 + 9/4
(x-3/2)^2 = 3/4
Finding square root of both sides
x-3/2 = √(3/4)
x = 3/2 ± √(3/4)
x = 3/2 + √(3/4) or x = 3/2-√(3/4)
which becomes
x = 2.36603 or 0.633975
Paloma ran 33/4
miles around the school track. If each lap is 1/2
mile, how many laps did she run?
Explain how to find the answer.
Answer:
16.5
Step-by-step explanation:
[tex](33/4)/(1/2)[/tex]=[tex]33/4*2[/tex]=66/4=33/2=16.5
Answer:
16 1/2 or 33/2
Step-by-step explanation:
i divided 33/4 by 1/2 which gave me 66/4 so i simplify it and it gave me 33/2 or 16 1/2
How is the product of 4 and 2 shown using integer tiles? 4 positive tiles and 2 positive tiles. 4 negative tiles and 2 negative tiles. 4 sets of 2 positive tiles. 4 sets of 2 negative tiles. Plz i need help
Answer: 4 sets of 2 positive tiles.
Step-by-step explanation:
We have the product of 4 and 2.
We can represent this as:
4 is equivalent to 4 positive tiles.
if we multiplicate it by 2, then we must have 2 sets of 4 positive tiles.
Another example is using 2 positive tiles to represent the 2.
So when we multiply it by 4, we end with 4 sets of 2 positive tiles.
This is because the order of the factors does not change the product.
Then, from the given options, the correct one is:
4 sets of 2 positive tiles.
Answer:
C on edge 2021
Explanation:
4 groups of 2
[+] [+] [+] [+] [+] [+] [+] [+]
8y⁷÷4y⁵ what is this answer
Answer:
Step-by-step explanation:
Terms with the exponents are like terms, we can subtract the exponents from each other when we divide.
(8y^7)/(4y^5) = 2y^(7-5) = 2y^2
Answer: [tex]2y^{2}[/tex]
Step-by-step explanation:
8/4=2
[tex]y^{7} / y^{5} =y^{7-5} =y^{2}[/tex]
so the answer is 2y^2
Please answer correctly !!!!!!! Will mark brainliest answer !!!!!!!!!!!!
=========================================================
How to get this answer:
Locate 6 on the x axis. Draw an arrow down until you reach the f(x) curve, then move to the left until you reach the y axis. We started at x = 6 and ended on y = -6. See the diagram below for this process in action.
So basically f(6) = -6. Visually the point (6,-6) is on the f(x) curve.
Through similar steps, we see that g(5) = -5
Therefore,
4*f(6) - 6*g(5) = 4*(-6) - 6*(-5) = -24 + 30 = 6
Solve the equation.
-3x-5=16
What does 'x' equal?
Answer:
-7
Step-by-step explanation:
-3x-5=16
-3x=21
x=-7
Answer:
x=-7
Step-by-step explanation:
-3x-5=16 Addition property of Equality
-3x=21 Multiplication Property of Equality
x=-7
In the figure, PQ is parallel to RS. (see picture)
Which of the following angles has a measure equal to 100°?
A) a
B) b
C) c
D) d
Answer:
A
Step-by-step explanation:
Because B corresponds with 80 and a line segment is 180 degrees b + a =180 and a would be 100.
how do you figure out what is a trinomial?
Answer:
To factor trinomals in the form of x^2+bx+c, you have to find 2 integers, r and s, whose product is c, and whose sum is b. You have to rewrite the trinomial as x^2+rx+sx+c and then using the grouping and distribution of property to factor the polynomial. The result of the factors will be (x+r) and (x+s)
Step-by-step explanation:
I’m desperateee help meeee!!!
Answer:
f(2)=5
q(2) =-5
p(2) = 5
f(x) and p(x) has the same output value
The system of equations and is shown on the graph below. What is a reasonable estimate for the solution? (1.1, –1.9) (–1.9, 1.1) (2.1, –3.9) (–3.9, 2.1)
Answer:
A: (1.1, –1.9)
tell me if im wrong pls.
Answer:
A
Step-by-step explanation:
I took the test
Given the coordinates for the function below which of the following are coordinates for its inverse
Answer:
Not sure but I believe it is A
Step-by-step explanation:
The coordinates of the inverse function would be, ($0.08, $1.00), ($0.16, $2.00), ($0.24, $3.00), ($0.52, $6.50), ($0.80, $10.00)
The correct answer is an option (B)
What is a function?"It defines a relation between input and output values.""In function, for each input there is exactly one output."What is inverse function?"It is a function that serves to “undo” another function.""The inverse function of y = f(x) is [tex]x=f^{-1}(y)[/tex]. "For given question,
We have been given a function.
We need to find the coordinates of the inverse function.
We know, the coordinates of the inverse of a function obtained by interchanging the first and second elements of each pair.
So, the coordinates of the inverse function would be, ($0.08, $1.00),
($0.16, $2.00), ($0.24, $3.00), ($0.52, $6.50), ($0.80, $10.00)
Therefore, the coordinates of the inverse function would be, ($0.08, $1.00), ($0.16, $2.00), ($0.24, $3.00), ($0.52, $6.50), ($0.80, $10.00)
The correct answer is an option (B)
Learn more about inverse function here:
https://brainly.com/question/2541698
#SPJ2
Answer ASAP, please!!!! Will mark brainliest!!! 25 points!!!!!
A vendor pays a rock band 13 of the total profit from T-shirts and sweatshirts sold at every concert. The vendor paid the rock band $726 after the last concert. If the profit from T-shirts sales was $1,632, what was the profit from sweatshirt sales?
1/3 of the profits is $1632 * 1/3 which would equal, $544
so 726- 544= $182 sweatshirt sales
but we're looking for 1/3 of sweatshirt sales, so
3 * 182 = $546 and that's your answer
Answer:
"ill get back to you on that lol"
Step-by-step explanation:
Solve 7y-6=2y+8
Show that 7/8-5/6=1/24
Show that 5/8÷7/12=1 1/14
Simplify fully v4×v7÷vt
Answer:
Please check the explanation part for more details.
Step-by-step explanation:
1. Solve [tex]7y - 6= 2y + 8[/tex]
Send all components contain [tex]y[/tex] to the left, the other components to the right:
<=> [tex]7y - 6 = 2y + 8[/tex]
(sign of [tex]2y[/tex] is changed from negative to positive, sign of [tex]6[/tex] is changed from negative to positive)
<=> [tex]5y = 14[/tex]
Divide both sides of equation by [tex]5[/tex]:
<=> [tex]y = \frac{14}{5}[/tex]
2. Show that [tex]\frac{7}{8} - \frac{5}{6} =\frac{1}{24}[/tex]
First, we prove that [tex]24[/tex] is least common multiple(LCM) of the denominators of [tex]2[/tex] components on the left side ([tex]8[/tex] and [tex]6[/tex]).
[tex]8 = 2^{3}[/tex]
6 = [tex]2[/tex] x [tex]3[/tex]
=> LCM = [tex]2^{3}[/tex] x [tex]3[/tex] = [tex]8[/tex] x [tex]3[/tex] = [tex]24[/tex]
Multiply the first component [tex]\frac{7}{8}[/tex] by a factor which is equal to the quotient of LCM and denominator: [tex]\frac{24}{8} = 3[/tex]
=> [tex]\frac{7}{8} = \frac{7*3}{8*3} = \frac{21}{24}[/tex]
Multiply the second component [tex]\frac{5}{6}[/tex] by a factor which is equal to the quotient of LCM and denominator: [tex]\frac{24}{6} = 4[/tex]
=>[tex]\frac{5}{6} = \frac{5*4}{6*4} = \frac{20}{24}[/tex]
=>[tex]\frac{7}{8} -\frac{5}{6} = \frac{21}{24} - \frac{20}{24} = \frac{1}{24}[/tex]
3. Show that [tex]\frac{5}{8} / \frac{7}{12} = \frac{11}{14}[/tex]
[tex]\frac{5}{8} / \frac{7}{12} =[/tex] [tex]\frac{5}{8} * \frac{12}{7} =[/tex] [tex]\frac{60}{56} =\frac{60/4}{56/4} = \frac{15}{14} = 1\frac{1}{14}[/tex]
4. [tex]\frac{v4*v7}{vt} = \frac{v}{v} * \frac{v*4*7}{t} = \frac{v*28}{t}[/tex]
Hope this helps!
:)
Please help
AOB = ?
BOC = ?
BOD = ?
Answer: in between a and b it could be 12x
in between b and c it could be 55x
in between d and c it could be [tex]4x^{o}[/tex] than probably half that
in between b and c it could be [tex]x^{o}[/tex]
or this
From the diagram, we know that it is an angle that adds up to 360
So
x+4x+2x+10+5x+50=360
Gather like terms
12x+60=360
Move sixty to the other side as a negative number
12x=300
Divide both sirs by twelve
x is equal to 25
AOB is 2x+10
Sub x in 2*25+10
AOB is 60
BOC is 5x+50
5*25+50, which is 175
BOD is x+2x+10
Which is 3x+10
Sub x
3*25+10 which is 85
Step-by-step explanation:
i think it could be like this
What are the measures of interior angle a and exterior angle b?
a=____
b=____
*20 points*
Answer:
a = 180 - 92 - 27=61
b = 92 + 27= 119
Step-by-step explanation:
Answer:
Interior Angle A = 180 - (27 +92)
= 180 - (119)
= 61 degrees
Exterior Angle B = 180 - 61
= 119 degrees
Calculate the surface area and the volume of the cylinder.
Pls!! Show how you got the surface area and volume
A box contains 56 balls. The probability of selecting a red ball at random is 5/7. How many balls in the box are not red?
Answer:
Brain to me plz
Step-by-step explanation:
2/7 is the balls are not red, so 2/7 multiplyed by 56
which is 16
Answer:
16 balls
Step-by-step explanation:
If 5/7 of the balls are red then the fraction of balls that are not red is;
[tex]\frac{7}{7} - \frac{5}{7} = \frac{2}{7}[/tex]
Which means 2/7 of the balls are not red. So to get the number;
[tex]= \frac{2}{7} * 56 \\= 2 * 8\\[/tex]
= 16
∴16 balls are not red
Pleas help !!!
Choices
X= -1
Y = -1
X = 1
Y= 1
Answer:
x=-1
Step-by-step explanation:
The axis of symmetry is along the vertex
The vertex is at (-1,-2)
The x coordinate is -1
x=-1
A washing machine requires 27.5 minutes
to wash one load of laundry. A clothes
dryer requires 60% more time than the
washing machine to dry one load of
laundry. What is the total amount of time
it takes to wash and dry one load of
laundry?
Which graph represents the solution set to the following system of linear inequalities? y <= 2x + 7 y > - 1/3 * x - 2
A linear inequality seems exactly like a linear equation where the inequality sign is replaced by the equality sign.
Solution set is the dark region enclosed by both inequality equation shown in attached graph.
Given inequality are, [tex]y\leq 2x+7,y>-\frac{1}{3}x-2[/tex]
By using graphing tool, draw graph of both inequality.
The dark region enclosed by both inequality equation shown in attached graph is solution set for given equation.
Learn more:
https://brainly.com/question/21130875
Karen is making a set of costumes for the school play using a piece of cloth. She reduces the length of the cloth she intends to use by 10%. If the initial length of the cloth that she wanted to use was 15 meters, what is the new length of the cloth she wants to use?
Answer:
The new length is 13.5 meters
Step-by-step explanation:
Here, we are interested in calculating the new length of the cloth she wants to use
What we know from the question is that she is making a reduction of 10% from an initial of 15 meters
Thus, the length she is to use can be calculated by first getting what 10% of 15 meters is
Mathematically, that would be ;
10/100 * 15 = 1.5 meters
We now subtract this from the total of 15 meters
= 15 meters - 1.5 meters = 13.5 meters
Pleeaaase hellllppppp…………………
Answer:
C, 1/10 c^3d^4
Remove the cubic root operation by raising all the terms by 1/3
1/100^1/3 c^9^1/3 a^12^1/3
Simplify:
1/10c^3a^4
20t- (8t+ 50s + 200)
Answer:
[tex]20t- (8t+ 50s + 200)\\20t- 8t- 50s - 200\\12t-50s-200[/tex]
I have a test in 2 days please do quickly!!! What is a ratio???!!??
Answer:
A ratio is when 2 values that come from related things are compared in the form of x:y
Answer:
comparison between things
Step-by-step explanation:
for example:
16 girls and 8 boys in a class room
the ratio would be 2:1 (girls:boys)
PLEASE HELP ME. Really need help
Find the features of the line 4y-3x = 108.
find:
x intercept
y-intercept
x intercept(y=0)
4y-3x=108
4×0-3x=108
-3x=108
x=108/-3
x=-36
y intercept(x=0)
4y-3×0=108
4y=108
y=108/4
y=27
The cost of a hall rental for a wedding is $500. Each meal at the wedding will cost an additional $45.50
a) Write an algebraic expression equation for the total cost of the wedding.
b) Calculate how many people attended the wedding if the wedding cost totalled $3912.50.
Answer:
a) 45.50p + 500
b) 45.50p + 500 = 3912.50
p = 70
Step-by-step explanation:
p = number of people
$45.50 for a meal for each person, so:
45.50p
The constant is $500, so let's add that to the expression:
45.50p + 500
How many fourths are in 2?
Answer:
2 wholes with 4 fourths in each whole, so there are 2\times 4 fourths in 2.
Step-by-step explanation:
Emily and Rachel had lunch at the mall. Emily ordered two slices of pizza and three cookies and her bill was $8. Rachel ordered one slice of pizza and four cookies and her bill was $9. What was the price of one slice of pizza? What was the price of one cookie?
Answer:
one slice of pizza: $1
one cookie: $2
Step-by-step explanation:
Emily: two pizzas (1+1)+three cookies (2+2+2)= 8
Rachel: one pizza (1)+four cookies (2+2+2+2)= 9
can i plz get brainilest? :)
Answer:
piza 1 buck
cooky 2 bucks
Step-by-step explanation:
i did not look at the other answer...
lol i copied the other answer
Kathleen bought 8.3 ounces of walnuts. The next day, she used 1.7 ounces of them in a recipe. How many ounces does she have left?
Answer:
6.6 ounces left
Step-by-step explanation:
Take the amount she had and subtract the amount she used
8.3-1.7 =6.6
Answer:
She has 6.6 ounces left.
pls help plsplsplsplsplsplspspslpssplsplsplspslpslpslsplspsps
Answer:
Option A, Option C, Option E
Step-by-step explanation:
The area of a kite can be identified through 1 / 2 of the multiplication of each diagonal. The first diagonal is equivalent to the addition of 50 cm and 10 cm, while the second is of length 20 cm + 20 cm.
[tex]1 / 2 * ( 50 + 10 ) * ( 20 + 20 ),\\1 / 2 * ( 60 ) * ( 40 ),\\( 30 ) * ( 40 ),\\\\Area of Kite = 1200 square cm[/tex]
Consider the first option. If we take a look at the bit 2 * ( 1 / 2 * 20 * 50 ) the 2 and 1 /2 cancel each other out, leaving you with 20 * 50 = 1000 . Respectively in the expression 2 * ( 1 / 2 * 20 * 10 ) the 2 and 1 / 2 cancel each other out, leaving you with 20 * 10 = 200;
[tex]1000 + 200 = 1200 square cm,\\Option A - Correct![/tex]
The second option considers the expression 2 * ( 1 / 2 * 20 * 60 ). Again, the 2 and 1 / 2 cancel each other out, leaving you with 20 * 60;
[tex]20 * 60 = 1200 square cm,\\Option B - Correct![/tex]
Option C is a similar version of option a, besides the fact that the 1 / 2 doesn't exist. Thus, Option C is incorrect!
Option D is a similar version of option a as well, but as the 2 doesn't exist, it is incorrect!
This last option, option E is taken as 1 / 2 of the multiplication of the diagonals, and thus is correct!
[tex]1 / 2 * ( 40 * 60 ),\\1 / 2 * ( 2400 ),\\1200 square cm\\\\Correct![/tex]
True or false a multiple of 3 must end in 6 or 9
Answer: False
Step-by-step explanation: 18 is a multiple of 3 and doesn't end in 6 or 9.
Answer:
True
Step-by-step explanation: