When completing the square is carried out on the quadratic [tex]x^2+11x[/tex] we get
[tex]x^2+11x+\dfrac{121}{4}[/tex]
when expressed as a binomial squared, we get
[tex]\left(x+\dfrac{11}{2}\right)^2[/tex]
To complete the square, we need to add a term to the expression
[tex]x^2+11x[/tex]
that would make it a perfect square. Generally, given the quadratic expression
[tex]x^2+bx[/tex]
to make it a perfect square, we have to add half the square of the coefficient of [tex]x[/tex]. That is, add [tex]\left(\frac{b}{2}\right)^2[/tex], or [tex]\frac{b^2}{4}[/tex] to the quadratic expression to get
[tex]x^2+bx+\dfrac{b^2}{4}[/tex]
which, when factored into a binomial squared becomes
[tex]\left(x+\dfrac{b}{2}\right)^2[/tex]
In our case, the quadratic [tex]x^2+11x[/tex] will become
[tex]x^2+11x+\dfrac{121}{4}[/tex]
and when expressed as a binomial squared, we get
[tex]\left(x+\dfrac{11}{2}\right)^2[/tex]
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Answer:
[tex]x^{2}[/tex] +11x+ [tex]\frac{121}{4}[/tex]= [tex](x+\frac{11}{2} )^{2}[/tex]
Step-by-step explanation:
.
If a line goes through points (-2, 9) and (0, 3), what is its slope?
3
-3
6
-1/3
Answer:
The slope of a line is:
[tex]m=-3[/tex]
Hence, option B is true.
Step-by-step explanation:
Given the points
(-2, 9) (0, 3)Finding the slope between (-2, 9) and (0, 3)
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(-2,\:9\right),\:\left(x_2,\:y_2\right)=\left(0,\:3\right)[/tex]
[tex]m=\frac{3-9}{0-\left(-2\right)}[/tex]
[tex]m=-3[/tex]
Therefore, the slope of a line is:
[tex]m=-3[/tex]
Hence, option B is true.
A circle has circumference 200 pi feet.
What is the radius of the circle?
Answer: The diameter is two times the radius, so the equation for the circumference of a circle using the radius is two times pi times the radius. If you are given the circumference but not the radius or the diameter, you can still solve for one or the other using these formulas.
Step-by-step explanation:
The radius of the circle which has a circumference of the cirlce of 200π will be 100 feet.
What is the circumference of a circle?It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.
Let r be the radius of the circle. The circumference of the circle will be
C = 2πr units
The circumference of the circle is given as 200π feet. Then the radius of the circle is given as,
200π = 2πr
Simplify the equation, then the value of the variable 'r' will be given as,
200π = 2πr
r = 100 feet
The radius of the circle which has a circumference of the cirlce of 200π will be 100 feet.
More about the circumference of a circle link is given below.
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What is the next fraction in the sequence? 1/3, -2/9, 4/27, -8/81
Answer:16/243
Step-by-step explanation: multiply the numerator by -2 and multiply the denominator by 3.
David threw a baseball into the air. The function of the height of the baseball in feet is
h = 80t − 16t^2
, where t represents the time in seconds after the ball was thrown. The graph
of the function is below.
a. Use the graph to determine how long it took for the ball to
fall back to the ground.
b. What is the maximum height of the baseball?
Answer:
a). 5 seconds
b). 120 feet
Step-by-step explanation:
Function representing the relation between the height achieved by a baseball and time 't' is,
h = 80t - 16t²
a). Total time taken by the ball to come back to the ground = 2 × Time taken by the baseball to reach the maximum height
= 2×(2.5) [From the graph attached]
= 5 seconds
b). Maximum height achieved by the baseball = 120 feet
Solve the inequality 7y + 2 < 5y + 12
Answer:
In the pic
Step-by-step explanation:
If you have any questions about the way I solved it, don't hesitate to ask me in the comments below =)
Devaughn is 10 years younger than Sydney. The sum of their ages is 74. What is Sydney's age? yearsold
Step-by-step explanation:
x = devaughn age
y = sydney age
x = y - 9
x + y = 61
y-9 + y = 61
2y= 61+9
2y = 70
y = 35
x = 35 - 9 = 26
check
35 + 26 = 61
35- 26 = 9
Hope this helps!
Can someone please help me
Answer:
I think before she pur 75% to her push ups she did.....probably only 18 pushups
Answer:
B
Step-by-step explanation:
(This method only works for 25%, 50%, 75% and 100% as far as i'm aware.) We know that 49 can only be divided by 1, 49 and 7 evenly. We can take 7 25%'s, and then match things up
25% (7)
50% (14)
75% (21)
100% (28) (Whole)
125% (35)
150% (42)
175% (49)
Solve the inequality 30 > 6( 2/3z+1/3)
Answer:
z < 7Step-by-step explanation:
30 > 6( 2/3z+1/3)30 > 6(2/3z) + 6(1/3)30 > 4z + 228 > 4z28/4 > z7 > zz < 7Savannah is working two summer jobs, making $12 per hour babysitting and $7 per hour washing cars. Savannah must earn a minimum of $55 this week. Write an inequality that would represent the possible values for the number of hours babysitting, b, and the number of hours washing cars, w, that Savannah can work in a given week.
Answer: 12b+7w=$55
Step-by-step explanation:
Seven less than a number, divided by five, is -2
Answer:
( -3 - 7 ) ÷ 5 = -2Step-by-step explanation:
( x - 7 ) ÷ 5 = -2
( -3 - 7 ) ÷ 5 = -2
( -10 ) ÷ 5 = -2
-10 ÷ 5 = -2
The answer is -3The answer is negative 2 because if you minus negative 3 by 7 first, it will give you negative 10. When you divide negative 10 by 5, you get negative 2, which is the answer to the equation.
Hope this helps! <3
The number is -3
What is Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the number be x
Seven less than a number
So , x - 7
Divided by five, is -2
So ,
( x - 7 ) / 5 = - 2
Multiply by 5 on both sides , we get
x - 7 = - 10
Adding 7 on both sides , we get
x = - 3
Hence, the number is - 3
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Bobbie and Adam each own 35% of partnership BAB. On October 15, 2018, Bobbie sells her interest to Bob, who is a 30% partner. On October 16, 2019, Adam sells his interest to Bob. When does the partnership terminate?
Answer:
Step-by-step explanation:
Such partnerships only terminate when one of the partners sells his entire share which makes him no longer a partner in the company, but there may still be another partnership in the company. The other way all partnerships in the company terminate is when a single party/partner gains control of the entire companies' shares meaning they are 100% owner of the company and no other individual has any controlling interest in the company.
Practice elimination by solving the following systems
-7x-8y=9
-4x+9y=-22
Answer:
multiply the first equation by 4
and second by 7 then just subtract second from first
The temperature fell from 0 Degrees Fahrenheit to 15 and one-half Degrees Fahrenheit below 0 in 5 and three-fourths hours. Wen tried to find the change in temperature per hour. Her work is shown below.
Negative 15 and one-half divided by 5 and three-fourths = negative StartFraction 31 over 2 EndFraction divided by StartFraction 23 over 4 EndFraction = negative StartFraction 31 over 2 EndFraction times StartFraction 23 over 4 EndFraction = Negative StartFraction 713 over 8 EndFraction
When she checked the answer by estimating, it did not make sense. What error did Wen make?
Wen incorrectly converted a mixed number to an improper fraction.
Wen added the numerators and denominators instead of multiplying.
Wen did not take the reciprocal of the divisor.
Wen did not change the division problem to multiplication.
Answer:
Wen did not take the reciprocal of the divisor.Step-by-step explanation I hope this helps.
Answer:
it is the 3rd answer
Step-by-step explanation:
Alissa sells real estate. She makes a 3% commission rate on each sale. Alissa pays 25% of her commission to her home office to pay for expenses. How can Alissa calculate the amount of money she will keep after selling a $250,000 home?
Answer:
$5625
Step-by-step explanation:
Given that :
Commission rate upon sale = 3%
Percentage of commision paid as home office expenses = 25%
Sale made = $250,000
Amount kept :
Amount of commission = 0.03 * 250000 = $7500
Amount of commission paid as Home office expenses :
0.25 * 7500 = $1875
Amount kept :
Commission amount - commission expense
$7500 - $1875
= $5625
Answer:
$5,625/Option C | Option C for the assignment, but the answer to the question for the amount would be $5,625.
Step-by-step explanation:
The amount answer of how to get the amount: Multiply $250,000 by 0.03, and then multiply again by 0.75.
Option C answer: Multiply $250,000 by 0.03, and then multiply again by 0.75.
I'm very sorry if this confused any of you!
Hope this helped!! ^^
slope intercept form.Please help!!!!
Answer:
sfsfsfsfsfsfsfsfsfsfsfssfsfsfasfsfsfsfsfsf
Step-by-step explanation:
Can someone please help me with this problem. I will give brainliest!
Write the equation of the line that is perpendicular to the y-axis and passes through the point (-4, 5).
Explanation:
The y axis is vertical. Anything perpendicular to this is horizontal.
All horizontal linear equations are of the form y = k, where k is any number.
In this case, k = 5 so that the line y = 5 goes through all points with y coordinate 5. Two points on this line are (-4,5) and (1,5).
Note how y = 5 is equivalent to y = 0x+5. We see the slope is 0 and the y intercept is 5. Compare this to y = mx+b.
A truck delivers 478 dozen eggs to stores in one day. Write and solve an equation to find n, the number of eggs the truck delivers in one day
HELP PLEASE ANSWER THIS
50 times 5
Answer:
50 times 5 is equal to 250
Step-by-step explanation:
lol, what a great question!!!!
78 students are separated into groups of 8 for a field trip.how many groups are there.the remaining students form a smaller group of how many students
Answer:
9 groups with 6 extra students
Step-by-step explanation:
78/8= 9 .75
we take the whole number =9
8*9=72
78-72=6
6 extra students
Help me please<>
Translate each sentence to a system of linear equation:
1. The difference of two numbers is 4. Thrice the first number plus twice the second number is 28.
2. You have only 100-peso bills and 50-peso bills in your wallet. There are 40 bills worth 3 500.00 peso.
Answer:
1. 4 and 8
Step-by-step explanation:
8-4=4
4+4+4+8+8=28
Multiply (3x-4)(2x-1)
Answer:
6x^2+4
Step-by-step explanation:
multiply :D
If mZ1 = 42, what is m
Z2
Answer:
48?
Step-by-step explanation:
50% of the fruits collected were ripe. If 100 fruits were ripe, find the total number of fruits collected.
Answer:
200 fruits
Step-by-step explanation:
The questions states that 50% of the fruits were ripe, and that 100 fruits were ripe
Therefore: 100 = 50%
Which makes the total amount of fruits 200
Don't believe me? Reverse work:
200 / 2 = 100
200 = 100%, 100 = 50%
can someone help me
Answer:
it's 342
Step-by-step explanation:
you have to use the solve the sum and add long numbers using the addition
Parallelogram PQRS is shown.measure of angle s=(3x),measure of angle R=120, and measure of angle Q=(2y) find the value of X
Parallelograms have adjacent angles supplementary (sum to 180).
For pair r and s,
3x+120=180, => x=(180-120)/3=20 °
Similarly, for pair q and r,
2y+120=180 => y=(180-120)/2 = 30 °
Different nerve signals travel at different speeds. Pressure and touch signals travel about 250 feet per second. Dull pain signals travel about 2 feet per second. How long does it take you to feel an ant crawling on your foot? Write your answer in a sentence using context. How much longer does it take to feel a dull ache in your foot? Write your answer in a sentence using context.
Answer:
Kindly check explanation
Step-by-step explanation:
Given that:
Pressure and touch signal speed = 250 feets per Second
Dull pain signal speed = 2 feets per second
Ant crawling on foot
A crawling ant on one's feet can be attributed to a touch signal, hence it will take ;
Time = Distance / speed
(Distance moved by crawling ant / 250)
(Dull ache in foot) = 250 / 2 = 125
It takes 125 times longer to feel a dull ache in foot.
how many solutions does 3x = 2x + 4 have
Answer:
One Solution: x = 4
Step-by-step explanation:
Step 1:
3x = 2x + 4 Equation
Step 2:
3x - 2x = 4 Subtract 2x on both sides
Answer:
x = 4
Hope This Helps :)
What is the equation of the line that is perpendicular to the line y = 6 and passes through the point (-4,-3)?
O x = -4
0 x = -3
Ox=-1/6
0 x = 6
To Find :
The equation of the line that is perpendicular to the line y = 6 and passes through the point (-4,-3)
Solution :
Let, equation of line perpendicular to given line is y = m ....1)
Here, m is a constant.
Putting y = -3 in above equation, we get :
-3 = m
Putting value of m in equation 1), we get :
y = -3
Therefore, correct option is b) x = -3.
Bro can somebody plz just help me answer this question!
Answer: I think it's 17 but I'm not 100%
Step-by-step explanation:
6th grade math i mark as brainliest
Answer: i think it is the first one gl
Step-by-step explanation:
Answer:
Coefficient
Step-by-step explanation: