A quadratic function has zeros of 2 and 9. Which expression could define the function?
A. x²+18x+11
B. x²+11x+18
C. x²-11x+18
D. x²-18x+11
- Also could you show the work. I am trying to do test corrections and have no idea what I am doing.
Answer:
I think the answer is C. x²-11x+18
Step-by-step explanation:
I'm sorry I can't explain I'm busy right now
Chad collected 256 M&Ms but lost 5/8 of them on his way to
sehool through a hole in his
bag. When he arrived at school how many M&Ms did Chad have left?
Chad had 96 M&Ms left when he arrived at school.
Chad initially collected 256 M&Ms.
However, he lost 5/8 of them on his way to school through a hole in his bag.
To determine how many M&Ms Chad had left when he arrived at school, we need to calculate the fraction that represents the M&Ms he did not lose.
If Chad lost 5/8 of the M&Ms, it means he kept 1 - 5/8 = 3/8 of them.
To find the number of M&Ms Chad had left, we multiply 3/8 by the total number of M&Ms he initially collected:
(3/8) [tex]\times[/tex] 256 = (3 [tex]\times[/tex] 256) / 8 = 768 / 8 = 96.
Therefore, Chad had 96 M&Ms left when he arrived at school.
In summary, Chad initially collected 256 M&Ms but lost 5/8 of them, leaving him with 3/8 of the total.
Multiplying 3/8 by 256 gives us 96 M&Ms, which is the number of M&Ms Chad had left when he arrived at school.
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y=mx+b
y=2/5x + b
b=?
Answer:
y=b+2x/5 in slope- intercept form.
Step-by-step explanation:
Hope this helps :)
Given the formula:
[tex]x = \frac{1 + a}{1 - a} [/tex]
Solve for "a" when x=12.
[tex]12 = \frac{1+a}{1-a} => 12(1-a)= 1+ a \\=> 12 -12a = 1 + a => 12a+1 = 12-1 \\=> 13a = 11 => a= \frac{11}{13}[/tex]
ok done. Thank to me :>
6(x + 7.50) = 4(2x + 9.50), what is the value of x?
Answer:
x=3.50
Step-by-step explanation:
6(x+7.50)=4(2x+9.50)
6x+45=8x+38
6x-8x=38-45
-2x = -7
x = -7/-2
x = 3.50
what equation represents the line that passes through the points (3, -2) and (-1, 10)
Answer:
y=-3x-9
Step-by-step explanation:
Let's find the slope of the line
m=-2-10/3--1
m=-12/4=-3
The equation is given as
y-y1=m(x-x1)
y--2=-3(x-3)
y+2=-3x+9-2
y=-3x-7-2
y=-3x-9
Carlos is digging a pond in his backyard as shown. The area of the
rectangular backyard is 6x + 14x - 12 square yards. The circular pond will
cover an area of 3x? - 4x + 5 square yards. Which expression represents the
area of the gray region, the area of the land remaining in the backyard?
Please answer!!!!
The expression that represents the area of the gray region, the area of the land remaining in the backyard is 3x²+10x-17 square yards. The correct option is B.
The area of the gray region is the area of the rectangular backyard minus the area of the circular pond.
The area of the rectangular backyard is given as 6x+14x-12 square yards, which simplifies to 20x-12 square yards.
The area of the circular pond is given as 3x²-4x+5 square yards.
So, the area of the gray region is:
(20x-12) - (3x²-4x+5)
= 20x-12 - 3x²+4x-5
= 3x²+10x-17
Therefore, the expression that represents the area of the gray region, the area of the land remaining in the backyard is 3x²+10x-17 square yards.
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-x+y=5
2x-5y=12
Select the best method to solve the system
Substitution or Elimination
Answer:
x=-37/3
y=-22/3
Step-by-step explanation:
-2x+2y=10 (1)
2x-5y=12 (2)
(1)+(2) <=> -3y=22
Answer:
Elimination method is good enough
I need help with this equation
Answer:
slope = - 2
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 5, 0) and (x₂, y₂ ) = (4, - 18) ← 2 ordered pairs from the table
m = [tex]\frac{-18-0}{4-(-5)}[/tex] = [tex]\frac{-18}{4+5}[/tex] = [tex]\frac{-18}{9}[/tex] = - 2
Rick buys 3 CDs and 5 video games. The cost of one video game is $12.00 more than the cost of one CD. If Rick spends $164.00, what is the cost of each CD?
Step-by-step explanation:
x = price per video game
y = price per CD
164 = 5x + 3y
and then we know
x = y + 12
now we can use this as substitute in the first equation :
164 = 5(y + 12) + 3y = 5y + 60 + 3y = 8y + 60
104 = 8y
y = $13
x = y + 12 = 13 + 12 = $25
so, each CD costs $13.
maya wants to burs 600 calories, so far, she burned 584.3 calories. how many more calories must maya burn
Answer:
15.7
Step-by-step explanation:
600 - 584.3 = 15.7
Can some one help me
Answer:
Step-by-step explanation:
Line A:
Mark two points in line A.
(1,3) & ( 2 , 5)
[tex]Gradient =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\\\=\dfrac{5-3}{2-1}=\dfrac{2}{1}\\\\\\= 2[/tex]
Line B:
(0,5) ; (5,0)
[tex]Gradient = \dfrac{0-5}{5-0}=\dfrac{-5}{5}=-1[/tex]
The length of the bottom of the triangle is x. Another side is 2 more than three times the length of the bottom of the triangle the last side is 5 more than the bottom of the triangle write and simplify and expression for the perimeter of the triangle
Answer:
5×x×2× base× high u see me
For any line, if you draw two right triangles using the line as the hypotenuse, do the triangles have to be similar? Why or why not?
Answer:
YesStep-by-step explanation:
If the same line holds the hypotenuse of two right triangles, both of the triangles are similar.
This is because they have same ratio of corresponding sides.
Yes .
Let's check your graph
In ∆ADE and ∆ABC
AD~BC(Parallel to y axis or y axis)AE~EC(Passing through origin and same vertice A)AB~DE(Translation by 2)Hence both triangles are similar
A company makes a profit of $y (in thousand dollars) when it produces x computers, where y is given by the formula = ( − 100)( − 200) for ≥ 0 If 120 computers are produced, the profit will be $3,200,000.
a) Find the value of a.
b) What is the maximum profit the company can make? At this profit, how many
computers should be produced?
(7 marks) c) If the company targets to make at least $4,800,000, what is the range of the
number of computers to be produced?
lol no
just give up in life
The function is used to model real life situation
The value of a is -2000 150 computers must be produced to maximize the profit of $5,000,000 A range of 140 to 160 computers would give the company at least $4,800,000
(a) The value of a
The function is given as:
[tex]\mathbf{y = a(x - 100)(x - 200) }[/tex]
The profit on 120 computers is 3200000.
So, we have:
[tex]\mathbf{3200000 = a(120 - 100)(120 - 200) }[/tex]
[tex]\mathbf{3200000 = -1600a}[/tex]
Divide both side by -1600
[tex]\mathbf{a = -2000}[/tex]
Hence, the value of (a) is -2000
(b) The maximum profit
The function becomes
[tex]\mathbf{y = -2000(x - 100)(x - 200)}[/tex]
Expand
[tex]\mathbf{y = -2000(x\² - 200x - 100x + 20000)}[/tex]
[tex]\mathbf{y = -2000(x\² - 300x + 20000)}[/tex]
Expand
[tex]\mathbf{y = -2000x\² + 600000x - 40000000}[/tex]
Differentiate
[tex]\mathbf{y' = -4000x + 600000}[/tex]
Set to 0
[tex]\mathbf{-4000x + 600000 = 0}[/tex]
Collect like terms
[tex]\mathbf{4000x = 600000}[/tex]
Divide both sides by 4000
[tex]\mathbf{x = 150}[/tex]
Substitute 150 for x in [tex]\mathbf{y = -2000(x - 100)(x - 200)}[/tex]
[tex]\mathbf{y = -2000(150 - 100)(150 - 200)}[/tex]
[tex]\mathbf{y = 5000000}[/tex]
150 computers must be produced to maximize the profit of $5,000,000
c) Range when the target is at least $4,800,000
This means that:
[tex]\mathbf{y \ge 4800000}[/tex]
So, we have:
[tex]\mathbf{-2000x\² + 600000x - 40000000 \ge 4800000}[/tex]
Collect like terms
[tex]\mathbf{-2000x\² + 600000x - 40000000 - 4800000 \ge 0}[/tex]
[tex]\mathbf{-2000x\² + 600000x - 44800000 \ge 0}[/tex]
Divide through by -2000
[tex]\mathbf{x\² - 300x +22400 \le 0}[/tex]
Factorize
[tex]\mathbf{(x - 140)(x - 160) \le 0}[/tex]
Express as inequality
[tex]\mathbf{140 \le x \le 160}[/tex]
A range of 140 to 160 computers would give the company at least $4,800,000
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Can you please solve this please and thank you.
Answer:
The answer is 3
Step-by-step explanation:
It’s 3 because with dilation your multiplying points to make a shape bigger, so multiply all the numbers by 3 and when you do that you woulda gotten what’s shown in B
Please help me please help mee
Answer:
1.-profit
2.-$300
3.-25%
Step-by-step explanation:
1.- 1500-1200=300+
2.-(1)
3.-1200/100= 12
300/12= 25
At what values of x, does f(x) = 0?
A. 2
B. 8
C. -4
D. 0
E. -1
F. 4
Answer:
D : 0
Step-by-step explanation:
f(0) = 0
question in doc below .
The answer is:
y=2x+3
I got this problem solved so I no longer need help
Answer:
then whats the point
Step-by-step explanation:
Please see screenshot.
Could someone help?
Answer:
56/100
Step-by-step explanation:
The decimal place has 2 digits which indicates two zeros. So the denominator will be 100. And 56 will become the numerator.
Grade 7 students were surveyed to determine how many hours a day they spent on various activities. The results are represented in the circle graph below. About how much time altogether was spent on homework and eating?
Can Someone Help me please
Answer:
As no graph is provided you can only solve it.Steps provided below
Graph of 7students so there must be 7 partsMark the point on graph where home work and painting is mentioned.Add both the respective valuesYes you have done it
5. Find the triangle similar to AABC at the right.
Answer:
the answer is b
Step-by-step explanation:
What is the Slope of the line that passes through points (4, -2) and (3, 1)?
Answer:
-3
Step-by-step explanation:
slope formula is y2-y1 over x2-x1
if we plug in the values and solve, that gets you -3.
Answer:
-3
Explanation:
1-(-2) divided by 3-4
PLSSSSS I WILL MARK BRAINLIEST PLSSSSSS
Raven is making pillows. Each pillow requires 1/3 yard of fabric. Raven has 6 yards of fabric. How many full pillows can she make?????????????????????????????????
Answer:
10
Step-by-step explanation:
3/5 simpilfied is 0.6
So 6/0.6 = 10
5у2х 1.5y
If you could do this asap ty
Answer:
[tex]2.5y^{3}x[/tex]
Suppose that the function h is defined, for all real numbers, as follows
Danny Whitman, un analista de valores de Your Bottom Dollar, Inc. Siempre ha considerado que es más probable que los bonos convertibles se sobrevaloren más que los bonos de ingresos. De 312 bonos convertibles del año anterior, Danny encontró que 202 estaban sobrevalorados,
mientras que 102 de los 205 bonos de ingreso estaban sobrevalorados. ¿Estos datos confirman la posición de Danny? Sea =., y pruebe la hipótesis
Existe un mayor porcentaje de bonos convertibles sobrevalorados comparado con el porcentaje de bonos de ingresos sobrevalorados, con lo cual la afirmación de Danny es correcta.
Dado que Danny Whitman, un analista de valores de Your Bottom Dollar, Inc. siempre ha considerado que es más probable que los bonos convertibles se sobrevaloren más que los bonos de ingresos, y de 312 bonos convertibles del año anterior, Danny encontró que 202 estaban sobrevalorados, mientras que 102 de los 205 bonos de ingreso estaban sobrevalorados, para determinar si estos datos confirman la posición de Danny se debe realizar el siguiente cálculo:
202/312 = 0.6474102/205 = 0.4975Por lo tanto, existe un mayor porcentaje de bonos convertibles sobrevalorados comparado con el porcentaje de bonos de ingresos sobrevalorados, con lo cual la afirmación de Danny es correcta.
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Math Essay Solve for g. make sure to show your work
(16 divided 4)(3x7)=g
Answer:
84 = g
Step-by-step explanation:
(16 ÷ 4)(3 × 7) = g Divide
4(3 × 7) = g Multiply
4 × 21 = g Multiply
84 = g Simply
Identify one point and the slope from the equation y + 4 = 1/3(x - 1)
A. m = 4 Point = (1/3, 1)
B. m = 1/3 Point = (1,-4)
C. m = 1/3 Point = (1, 4)
D. m = 1/3 Point = (-1, 4)
Answer:
B
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b ) a point on the line
y + 4 = [tex]\frac{1}{3}[/tex] (x - 1) ← is in point- slope form
with m = [tex]\frac{1}{3}[/tex] and (a, b ) = (1, - 4 ) → B