Answer:
The equation can become 4x − 12 − 5x − 5 = 3 by applying the distributive property.
Step-by-step explanation:
4(x − 3) − 5(x + 1) = 3
The first thing would be distribute the 4 and the 5 respectively
4x-12 -5x-5 =3
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
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.
For similar question on fraction.
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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
Read more at:
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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
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
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.
there are eight competitors in each ring for a raw kwon do to tournament if there are 96 competitors in the tournament how many rings do they need
Answer:
12
Step-by-step explanation:
You divide 96 by 8 and you get 12.
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
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
Forty percent of the 45 slices of cake were strawberry flavor. How many were not strawberry flavored?
Answer:
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.
Please help with this
Answer:
the answer is x=107° you're welcome
HUrrryyy i need help!!!!!
Answer:It is D Step-by-step explanation:
Hello kind people I will be handing A brain-list
The Chang family is on their way home from a cross-country road trip. Their starting destination is 2,280 miles from their home. The Chang family can expect to decrease the distance from their home by 60 miles per hour.
Part A: Based on the information provided, write the function d(t) that represents the family's distance (in miles), d, from home after t hours of driving.
Part B: If rate at which the Chang family travels home continues at the same rate, determine the value of d(15) and describe what it means in reference to the situation.
Answer: d is 15 hrs
Step-by-step explanation:
Just substitute 15 in for t in 2280-60t and evaluate to get D(15)
D(15) is how many miles left to drive to get home after 15 hours
I don't know if this is 100% correct but I tried
y=mx+b
y=2/5x + b
b=?
Answer:
y=b+2x/5 in slope- intercept form.
Step-by-step explanation:
Hope this helps :)
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
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
-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
d+(-9)=-5
i need to solve for d. thank u
Answer:
4
Step-by-step explanation:
d - 9 = -5
Add 9 to -5, and you will get 4.
4 - 9 = -5
Answer:
d=4
Step-by-step explanation:
d+(-9)=-5
d=-5+9
d= 4
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!7
Answer:
I think B is the answerStep-by-step explanation:
Pls make me brainliestImsureeeeeeee123
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
Please help and provide work please
Complete the proof:
Explanation:
Statement . . . . Reason
1. AE ≅ CE, AB CD, E is the midpoint of BD . . . . Given
2. BE ≅ DE . . . . definition of midpoint
3. ΔEAB ≅ ΔECD . . . . SSS congruence postulate
how do we do thisss
3^-2 × 3^x = 81
Answer:
x = 6
Step-by-step explanation:
Using the rule of exponents
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] ⇔ [tex]a^{(m+n)}[/tex] , then
[tex]3^{-2}[/tex] × [tex]3^{x}[/tex] = 81 , that is
[tex]3^{x-2}[/tex] = [tex]3^{4}[/tex]
Since the bases on both sides are equal, both 3 then equate the exponents
x - 2 = 4 ( add 2 to both sides )
x = 6
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
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
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
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
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
Andre says that 3 \div÷ 2/3 = because there are 4 groups of 2/3 and 1/3 left. Do you agree with Andre?
Answer: No
Is this 3/(2/3)? I'll assume it is.
Step-by-step explanation:
3/(2/3) can be rewritten as 3*(3/2)
3*(3/2) = 9/2 or 4 1/2
Four groups of 2/3 would make 8/3 or 2 2/3, not 4 and 1/3.
5. Find the triangle similar to AABC at the right.
Answer:
the answer is b
Step-by-step explanation: