The value of a in the equation is 10
The root of the equation is determined using the equation shown below:
[tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]
Given the quadratic equation ax^2+x-24=0;
a = ab = 1c = -24The product of the quadratic equation is c/a
Product = c/a
- 2 2/5 = -24/a
-12/5 = -24/a
-12a = 5 * -24
-12a = -120
a = 10
Hence the value of a in the equation is 10
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Compare to ax^2+bx+c
b=1c=-24a=aProduct of roots=c/a
ATQ
[tex]\\ \tt\hookrightarrow \dfrac{c}{a}=-2\dfrac{2}{5}[/tex]
[tex]\\ \tt\hookrightarrow \dfrac{-24}{a}=\dfrac{-12}{5}[/tex]
[tex]\\ \tt\hookrightarrow \dfrac{24}{a}=\dfrac{12}{5}[/tex]
[tex]\\ \tt\hookrightarrow 12a=120[/tex]
[tex]\\ \tt\hookrightarrow a=10[/tex]
Plz send right answers I need this right plzzz !!!!
Answer:
its d
2.52x
3.40
____
0.00+
1.080+
7.5600
______.
8.658
Answer:
D. 8.568
Step-by-step explanation:
A quick tip is ignore the decimal points and just multiply, (which they already did for you) then add the decimal how many ever points forward the two multiples are combined.
So for 8568, since you have 2 . 52 3 . 4 you take it 3 points forward to right between the 8 and 5 for 8.568....
Also, just a word of advice, 4*4 is 16 so the answer couldn't be higher than 16, so A and C are wrong. B is actually switching the 6 and 5 so it's also wrong leaving only D
please help i will give brainliest
Answer:
Step-by-step explanation:
C
Salena is making bracelets. She has 95 inches of string. Each bracelet uses 4 inches of string.
Answer:
23 bracelets
Step-by-step explanation:
I am assuming that we need to find how many bracelets she can make.
Each bracelet uses 4 in of string, so we would have to divide 95 by 4.
95/4 = 23.75
Salena should have enough to make 23 bracelets.
Hope this helps.
The number of bracelets will be equal to 23 bracelets.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Salena is making bracelets. She has 95 inches of string. Each bracelet uses 4 inches of string.
The number of bracelets will be calculated as
Number = 95/4
Divide the number 95 by 4,
Number = 23.75
The required number of bracelets is 23.
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#SPJ2
Basically find the circumcenter.
the map shows the three most highly populated location of a city, City officials want to build an emergency healthcare cent in a location that sis the same distance from each of the three locations. Find the coordinates of the location the city should use for the emergency healthcare center.
Coordinates:
A(2,14) B(12,14) C(5,0)
Answer:
(7 , 7.75)
Step-by-step explanation:
f(1)=−3
f(n)=2⋅f(n−1)+1
f(2)=?
PLEASE HELP ME I BEG IMMA FAILLLLLLLLLLLLLLLL
Find the volume of a sphere with a diameter of 18.8 cm, . Use 3.14 for π. Round your answer to the nearest tenth.
869.3 cm3
1,956 cm3
1,109.8 cm3
3,477.4 cm3
Answer:
(c) 3,477.4 cm³
Step-by-step explanation:
The formula for the volume of a sphere is ...
V = 4/3πr³ . . . . where r is the radius
The radius is half the diameter, so is 18.8 cm/2 = 9.4 cm.
Using this value and the value for pi in the formula, we have ...
V = (4/3)(3.14)(9.4 cm)³ = (4/3)(3.14)(830.584 cm³) ≈ 3477.4 cm³
_____
Additional comment
You will do well to learn how to use a formula, and how to use your calculator to evaluate it. It can be useful to keep perimeter, area, and volume formulas handy for the usual plane and solid figures.
Can someone help with 1 11/15 divided by 1 4/9?
Answer: The answer is 1 1/5
Step-by-step explanation: Hope that helps :)
Factor f(x) = 22 - 5x + 6 using any method.
-
please helppp
Answer:
[tex](x-2)(x-3)[/tex]
Step-by-step explanation:
[tex]x^2-5x+6[/tex]
[tex]x^2-3x-2x+6[/tex]
[tex]x(x-3)-2(x-3)[/tex]
[tex](x-2)(x-3)[/tex]
What is the remainder when (3x3 â€"" 2x2 4x â€"" 3) is divided by (x2 3x 3)?.
The remainder of the equation is [tex]\rm 28x+30[/tex].
Given that,
When the equation [tex]\rm 3x^3-2x^2+4x-3[/tex] is divided by [tex]\rm x^2+3x+3[/tex].
We have to find,
The remainder of the equation?
According to the question,
The equation [tex]\rm 3x^3-2x^2+4x-3[/tex] is divided by [tex]\rm x^2+3x+3[/tex].
On the division of the polynomial, the remainder is,
[tex]\dfrac{\rm 3x^3-2x^2+4x-3}{\rm x^2+3x+3}[/tex]
Factorize the equation to convert this into the simplest form,
[tex]\rm 3x^3-2x^2+4x-3\\\\3x^3-11x^2+9x^2+9x+28x-33x-33+30\\\\Taking \ the \ common \ terms \ and \ simplify\ the\ equation\\\\3x^3+9x^2+9x+11x^2+33x-33+28x+30\\\\3x(x^2+3x+3) - 11(x^2+3x+3) + 28x+30\\\\(3x+11) (x^2+3x+3) +28x +30[/tex]
Now, the equation can be written as,
[tex]\rm = \dfrac{(3x+11) (x^2+3x+3) +28x +30}{ x^2+3x+3}\\\\= \dfrac{(3x+11) (x^2+3x+3) }{ x^2+3x+3} + \dfrac{28x +30}{ x^2+3x+3}\\\\= (3x+11) + \dfrac{28x +30}{ x^2+3x+3}\\\\[/tex]
The relation between the divisor, remainder, and quotient is,
[tex]\rm = Quotient + \dfrac{Remainder}{Divisor}[/tex]
On comparing with the equation,
The remainder becomes 28x +30.
Hence, The required remainder of the equation is [tex]\rm 28x+30[/tex].
For more details refer to the link given below.
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Please help asap!
the temperture fell from 10 degrees to -14 degrees while Ben was at work. if Ben worked 6 hours, what was the average hourly change in temperature?
Answer:
I think -24 for the hourly change
Step-by-step explanation:
10-24= -14
Answer: -4
Step-by-step explanation:
Subtract 10 by -14 to get -24 then divide by 6 because ben was at work for 6 hours to get -4
Malachi is practicing math fluency. He has 100 math operation flashcards with 42 addition problem cards, 56 subtraction cards, and 2 multiplication cards. He will time himself to see how fast he can solve the problems on two cards. He chooses his two cards and they are both multiplication cards. Is choosing two multiplication cards likely? Explain by running a simulation.
Part A: State the problem or question and assumptions. (2 points)
Part B: Describe the process for one repetition, including possible outcomes, assigned representations, and measured variables. (3 points)
Part C: Use digits from a table of random digits or use your calculator to perform one repetition. Submit the list of random digits and indicate those that represent multiplication cards. (3 points)
Part D: Suppose there were 5 times when both cards selected were multiplication cards after 1,500 repetitions of the simulation. State your conclusions from these results. (2 points)
Essay Submission
Answer: It is highly unlikely to get both multiplication cards on the first try.
Part A The question asked is: there are two multiplication cards out of one hundred cards including forty-two addition problem cards and fifty-six subtraction cards.What are the odds of getting just the multiplication cards.The assumption is this we are talking about the first try.
Part B You make the multiplication cards, card#1 and card#2. All other cards are #3-100. Then you use the random number generator to see odds of two numbers out of one hundred, which is 0.02%. as I did 2/100 x 1/99 then multiply by 100 so.02
Part C I got 83 and 27as my first two numbers with my random number generator, So Malachi didn't get a multiplication card in this random test. card #1 and card #2 are the multiplication cards
Part D The percentage of the time that you'd expect both multiplication cards to be picked is 0.002 or .2%. The proportion of the time that it happened here is 5/1500=.00333 or .33%, which means that this is pretty much in line with what you'd expect
Step-by-step explanation: I got a 10/10 on 3.07 essay test for honors statistics.
Using a phone card to make a long distance call costs a flat fee of $0.57 plus $0.31 per minute starting with the first
minute. Find the total cost of a phone call which lasts 27 minutes.
O A. $27.18
OB. $15.7
O C. $8.37
OD. $8.94
Answer:
it's d
Step-by-step explanation:
multiply 0.31 by the amount of minutes used (27) and add the flat fee to it.
0.31×27+(0.57)= 8.94
Use completing the square to solve for x in the equation (x+ 7)(x-9)=25,
OX= 4 or 6
O X-2 or 14
O x=1V89
O x=1 V87
Answer:
3rd option
Step-by-step explanation:
(x + 7)(x - 9) = 25 ← expand left side using FOIL
x² - 2x - 63 = 25 ( add 63 to both sides )
x² - 2x = 88
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 1)x + 1 = 88 + 1
(x - 1)² = 89 ( take square root of both sides )
x - 1 = ± [tex]\sqrt{89}[/tex] ( add 1 to both sides )
x = 1 ± [tex]\sqrt{89}[/tex]
Find the equation of the line passing through the points (-1,7) and
(2,-8). Write the equation in slope-intercept form.
A) y = -5x + 2
B) y = -5x + 7
C) y = 5x + 12
D) y = 5x – 18
Please help
A class of 30 students visits an art museum and a special exhibit while there.
a. Use the Distributive Property to write and simplify an expression for the cost.
b. Estimate a reasonable value for x. Explain.
c. Use your estimate for x to evaluate both expressions in part (a). Are the values the same?
PRICES:
Museum Exhibit
Child (under 5) Free Free
Student $8 $x
Regular $12 $4
Senior $10 $3
Answer quick!!
A reasonable price for X would be $ 2.
Since a class of 30 students visits an art museum and a special exhibit while there, and the prices were as follows:
Child (under 5) Free Free Student $ 8 $ x Regular $ 12 $ 4 Senior $ 10 $ 3
To estimate a reasonable value for x, the following logical reasoning must be made:
Regular 12 Senior 10 Student 8 = -2 Regular 4 Senior 3 = -1
Therefore, a reasonable price for X would be $ 2.
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Complete the sentence.
Twenty-seven is % of 60.
Answer:
45 percent
Step-by-step explanation:
Have an awesome day!
what is 4(2x+3) simplified using distributive property
Answer:
8x +12
Step-by-step explanation:
The outside factor is applied to each term inside parentheses:
4(2x +3) = 4(2x) +4(3) = 8x +12
[tex]\huge\boxed{Hi\:there!}[/tex]
To simplify this expression, we should use the Distributive Property.
It states that
a(b+c)=ab+ac
Let's use it:
4(2x+3)
8x+12
That's the answer.
[tex]\huge\boxed{\boxed{\boxed{Hope\:it\:helps!}}}[/tex]
[tex]\huge\bold{Good\:luck!}[/tex]
[tex]\huge\mathfrak{LoveLastsAllEternity}[/tex]
Carl placed $2,600 in a savings account that compounds interest annually at a rate of 0.5%. How much will he have in the account after 7 years
Answer:
$2,691
Step-by-step explanation:
Interest (I) = Principal x Rate x Time
Total Amount (A) = Interest + Principal
I = 2600(.005)(7)
I = 91
A = 2600 + 91
A = 2691
Please help i've been stuck on this for awhile now-
Answer:
3²
Step-by-step explanation:
The factors 3³ in the numerator and denominator cancel each other. Anything divided by itself is 1. Anything multiplied by 1 is unchanged.
[tex]\dfrac{3^3\cdot3^2}{3^3}=\dfrac{3^3}{3^3}\cdot3^2=1\cdot3^2=3^2[/tex]
_____
Additional comment
The exception is that 0 divided by itself is indeterminate.
ASAP help 50 points Please hurry
Answer:
Step-by-step explanation:
Y=7
Let it be x
[tex]\\ \sf\longmapsto \dfrac{150}{x}=\dfrac{150+150}{280}[/tex]
[tex]\\ \sf\longmapsto \dfrac{150}{x}=\dfrac{300}{280}[/tex]
[tex]\\ \sf\longmapsto \dfrac{1}{x}=\dfrac{2}{280}[/tex]
[tex]\\ \sf\longmapsto \dfrac{1}{x}=\dfrac{1}{140}[/tex]
[tex]\\ \sf\longmapsto x=140ft[/tex]
The soccer team provides 5 liters of water for the coaches and 1.25 liters of water for each player during practice.
Which equation represents the total number of liters of water, w, based on the number of players, p?
Answer:
y=1.25x+5
Step-by-step explanation:
To repair a roof that is 4 meters high Mr. Jeff leans a 5-meter ladder against the side of the building. To reach the roof how far away from the building should he place the base of the ladder?
hi have a good day.
I think correct answer is-3
ASAPPPP HELPPPP PLEASEEEE
Answer:
27.6
Step-by-step explanation:
sin29=x/57
0.48480962=x/57
x≈27.6
What function equation is represented by the graph?
Answer:
f(x) = (2/3)x-2
Step-by-step explanation:
Pick any two points and calculate the slope. I chose: (-3,-4) and (3,0). The Rise/Run, or slope, is (0-(-4))/(3-(-3) or 4/6: 2/3
The y-intercept of the graph is -2 ( the value of y when x=0).
Given y = mx + b
we have
y = (2/3)x - 2
Option 3
PLEASE I AM IN DESPERATE NEED OF HELP
A pet store sold 36 Siamese cats. If the ratio of Siamese cats to house cats sold was 4:9, what is the combined amount of cats sold
The combined amount of cats sold is 117.
Ratio expresses the relationship between two variables. It shows the frequency of which that one value is contained within another variable.
The ratio of Siamese cats to house cats = 4 : 9
Number of Siamese cats = 36
Number of combined cats = c
This equation can be formed using the above information:
4/13 x c = 36
4c = 468
c = 468 / 4
c = 117
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Calculate the amount of dextrose in 756 mL D10W
D10W has a concentration 10%
So
Dextrose amount=
[tex]\\ \sf\Rrightarrow 10\%\:of\:756[/tex]
[tex]\\ \sf\Rrightarrow 0.10(756)[/tex]
[tex]\\ \sf\Rrightarrow 75.6ml[/tex]
if f (x) =3(x+3)^2 - 10 then calcutlate f (2)
pls answer todayyy i need help
Answer:
x
=
−
8
−
√
13
3
,
−
8
+
√
13
3
I dont know why the answer is spacing out like this
K minus 10 over 2 = -7
Hey there!
k - 10/2 = -7
k - 5 = -7
ADD 5 to BOTH SIDES
k - 5 + 5 = -7 + 5
CANCEL out: -5 + 5 because that gives you 0
KEEP: -7 + 5 because it helps solve for the k-value
NEW EQUATION: k = -5 + 7
SIMPLIFY IT & YOU HAVE YOUR ANSWER!
k = -2
Therefore, your answer is: k = -2
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
What is the estimated difference between 7 6/11−5 13/15 ?
Answer:
1 1/2
Step-by-step explanation:
7 6/11−5 13/15
7 6/11 is close to 7 1/2
5 13/15 is close to 6
7 1/2 - 6 = 1 1/2
Answer:
1 1/2
Step-by-step explanation:
The difference is one-and-one-half. I rounded seven-and-six-elevenths to seven-and-one-half. Then, I rounded five-and-thirteen-fifteenths to six. Seven-and-one-half minus six is one-and-one-half.