Answer:
x = 3 or x = 1Step-by-step explanation:
[tex] {4x}^{2} - 16x + 12 = 0 \\ {4x}^{2} - 4x - 12x + 12 = 0 \\ 4x(x - 1) - 12(x - 1) = 0 \\ (4x - 12)(x - 1) = 0 \\ [/tex]
(4x - 12) = 0 or (x - 1) = 0
[tex](4x - 12) = 0 \\ 4x - 12 = 0 \\ 4x = 0 + 12 \\ 4x = 12 \\x = \frac{12}{4} \\ x = 3 \\ [/tex]
[tex](x - 1) = 0 \\ x - 1 = 0 \\ x = 0 + 1 \\ x = 1[/tex]
x = 3 or x = 1 should be.
A company makes pens. They sell each pen for $9. Their revenue is represented by R = 9 x. The cost to make the pens is $3 each with a one time start up cost of $6500. Their cost is represented by C = 3 x + 6500. a) Find the profit, P, (P = R - C) when the company sells 1000 pens. 15500 0-500 O 9000 0-3500 0-9000
Answer:
-$500
Step-by-step explanation:
C = 3(1000) + 6500
C = 3000 + 6500
C = 9500
R = 9(1000)
R = 9000
P = 9000 - 9500
P = -500
draw a relation diagram for the function f:x= 2(3x-1) where x€{1,2,3,4,5}
Answer:
f:x=1
Step-by-step explanation:
6x-1=5
6x/6=6/6
f:x=1
Find the unit rate of sugar to baking powder in the recipe above.
Cookie Recipe: 3 cups flour, 2/3 cup sugar, 1/2 cup butter, 1/4 cup baking powder
Answer:
2/3 to 1/4, two thirds cup to a quarter cup
Step-by-step explanation:
Write the standard form equation of the parabola that passes through (20,−40),if the vertex at the origin and the axis of symmetry is vertical.
Answer:
y = -0.1x^2
Step-by-step explanation:
Start out with vertex form
y = a(x - h)^2 + k
The vertex at the origin
Therefor (h, k) = (0, 0)
y = ax^2
use point (20, -40) to find a
-40 = a(20^2)
-40 = a(400)
Divide both sides by
400
-0.1 = a
Therefor
y = -0.1x^2
This is standard form with a = -.01 and both b and c equal to zero
PLEASE HELP ME ITS ALGEBRA THANK YOUUUU
Answer:
2924
Step-by-step explanation:
2752 ÷ 16 = 172 ← number of points per coin
After collecting 17 points he will have collected
2752 + 172 = 2924 points in total
Answer:
2924
Step-by-step explanation:
What is the value of this expression?
(−8)3
can anyone help me with question b
Answer:
nnkbnlkn lk kgkbnlnbkvnbklcnlkbnblknbklv.
Step-by-step explanation:
Determine whether the function is continuous or discontinuous.
Answer:
it is continues
Step-by-step explanation:
it is continues
PLEASE HURRY HELP!
Find the product (3a4 + 4)2
Answer:
(3a4 + 4)2
= (12a+4)2
= 24a+8
solve for x. round to the nearest tenth. 37 48
Answer:
1776
Step-by-step explanation:
Principal: 300
Annual Rate: 3%
Time: 4 Years
Interest Earned: ?????
New Balance: ?????
!!!!!SOMEONE PLEASE HELP ME FIGURE OUT INTEREST EARNED AND NEW BALANCE!!!!
Answer:
Step-by-step explanation:
HI there!
From the question;
Principal (p) = 300
Annual rate (r) = 3%
Time (t) = 4 yrs
Now;
Interest (I) = [tex]\frac{p*t*r}{100}[/tex]
I = [tex]\frac{300*4*3}{100}[/tex]
I = [tex]\frac{3600}{100}[/tex]
Therefore the interest earned is 36.
Again;
New balance (A) = principal + interest
= 300+36
Therefore, the new balance is 336.
Hope it helps!
heyyy if you tell me the correct answer I’ll give you’re answer a 5 thanks and brainlest please hurry
Answer:
29in
pls give brainliest tq
have a great day
how do line segments differ from distance?
Answer:
It has length, but not width and depth
Ken took 64 minutes to walk 4 miles on flat terrain. If he walked at a constant rate, how long would it take Ken to complete 5 miles?
Answer: 80 minutes
Step-by-step explanation:in the picture
Help I’ll give BRAINLIEST
Step-by-step explanation:
Let's rewrite the original equation as
[tex]y - 2 = 2x + 6 \Rightarrow y = 2x + 8[/tex]
or in standard form, our equation becomes
[tex]2x - y = -8[/tex]
where A = 2, B = -1 and C = -8
algebra help please!!!!!!!
Answer:
The answer is c I hope this helps
Whats the answer? ( Khan Academy ) Also Ill give branliest if its correct!
Answer:
A is the equavelent expression
Option B
What is the slope of the line represented by the equation y = -2/3- 5
-2/3
slope can also be classified as m in y=mx+b
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]-\frac{2}{3}[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
I am assuming that the equation is: [tex]y = -\frac{2}{3}x-5[/tex].
⸻⸻⸻⸻
[tex]\boxed{\text{General Slope-Intercept Form:}}\\\\y = mx+ b\\\rule{150}{0.5}\\\text{m - Slope}\\\text{b - Y-Intercept}\\\rule{150}{0.5}[/tex]
Since [tex]-\frac{2}{3}[/tex] take's m's spot, it is the slope of the equation.⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
On Sunday a local hamburger shop sold a combined total of 231 hamburgers and cheeseburgers. The number of cheeseburgers sold was two times the amount of hamburgers sold. How many hamburgers were sold on Sunday?
Answer: 77 hamburgers
Step-by-step explanation:
You can write an equation for this problem
x= hamburgers
2x= cheeseburgers
x+2x=231
3x=231
x=77
solve pls brainliest
Answer: (a.) -19 (b.) 78
Step-by-step explanation:
(a.) -33+14= -19 (b.) 75 - x = 78
(b.) 75 to zero = 75 Zero to -3
is 3 points behind zero, this make more distance from 75 so…
(b.) 75+3 = 78
IS THIS CORRECT? CLASS 6 MATHS!!!!!
Answer:
63/5
Step-by-step explanation:
The reciprocal of a fraction is basically just the flipped fraction. In this case, you would just flip the numerator with the denominator, giving you 63/5.
People attended the State Fair at a rate of 42 people per minute. How many hours would it take for there to be 15,000 people at the Fair (first find how many minutes it will take)?
Step-by-step explanation:
42 people per minute
how many minutes for 15000 people ?
well, how often does 42 fit into 15000 ?
15000/42 = 357.1428571... minutes
and since we want to bring in everyone of the 15000, we have to count the fraction of the last minute as minute.
so, we have 358 minutes.
and that is in hours, as 1 hour = 60 minutes
358/60 = 5.9... hours
so, the rounded answer is 6 hours.
help me please!!!!!!!!!!!!!!
Answer:
7√ 121
Step-by-step explanation:
Enter the values of x, y, and z. The diagram is not to scale.
Answer:
x = 86
y = 67
z = 94
Step-by-step explanation:
The sum of interior angles in a triangle is equal to 180
38 + 56 + x = 180
94 + x = 180 subtract 94 from both sides
x = 86
The sum of two interior angles in a triangle is equal to an exterior angle that is supplementary to the third interior angle so the value of z:
56 + 38 = 94
again the sum of interior angles in a triangle is equal to 180:
19 + z + y = 180 we found z as 94
19 + 94 + y = 180
113 + y = 180 subtract 113 from both sides
y = 67
Find the values of a and b.
Step-by-step explanation:
Substitute x=0x=0 to get a3+b2=−56a3+b2=−56 and x=−1x=−1 to get a2+b=−12a2+b=−12 and solve them to get a=−7,b=3
To raise funds for uniforms and travel expenses, the soccer team is holding
a car wash in a part of town with a lot of car and truck traffic. The team
spent $90 on supplies like sponges and soap. They plan to charge $10 per
car and $20 per truck. Their goal is to raise $460.
Question: how many cars do they have to wash if they washed t trucks??
9514 1404 393
Answer:
55 -2t cars
Step-by-step explanation:
The amount raised is the difference between the revenue and expenses. If c cars and t trucks are washed for a profit of $460 after expenses of $90, the equation can be written ...
460 = 10c +20t -90 . . . profit equation
550 = 10c +20t . . . . . . . add 90
550 -20t = 10c . . . . . . . subtract 20t
c = 55 -2t . . . . . . . . . . . divide by 10
They have to wash 55-2t cars if they washed t trucks.
A motorboat takes 4 hours to travel 192 kilometers going upstream.
The return trip takes 3 hours going downstream.
- What is the rate of the boat in still water?
- What is the rate of the current?
Answer:
Step-by-step explanation:
let b be boat velocity
let c be current velocity
(b - c)4 = 192
(b + c)3 = 192
(b - c)4 = (b + c)3
4b - 4c = 3b + 3c
b = 7c
(7c - c)4 = 192
(6c)4 = 192
24c = 192
c = 8 km/hr
b = 7(8) = 56 km/hr
whats 10x2= n nnn nnnnnnn
Answer:
20
Step-by-step explanation:
10 x 1 = 10. 10 x 2 = 20.
Answer:
20
Step-by-step explanation:
10 x 1 = 10
Then, 10 x 2 = 20
A group of friends want to go to the amusement park. They have $137.75 to spend on parking and admission. Parking is $15.25, and tickets cost $24.50 per person including tax. Write and solve an equation which can be used to determine x, the number of people who can go to the amusement park.
Answer:
(137.75 - 15.25)/24.5=x
122.5/24/5=x
5=x
x= number of friends who can go to the amusement park
Step-by-step explanation:
137.75 is the total amount of money.
First, we need to subtract 15.25 because this money is going to be spent on parking.
Once we have our total after subtracting 15.25, all we need to do is divide that number by 24.5 to see the number of people who can go to the amusement park.
Hope this helped!
By solving a linear equation we will see that 5 people can go to the amusement park.
How to write the linear equation?We know that the friends have $137.75, and the parking costs $15.25, so after paying the parking they have:
$137.75 - $15.25 = $122.50
Now we know that each ticket costs $24.50, so if the friends pay for x tickets they will have y money left, given by the linear equation:
y = $122.50 - $24.50*x
To see the number of people that can go to the amusement park we need to solve the above equation for y = $0 (the case where they use all the money).
$0 = $122.50 - $24.50*x
$24.50*x = $122.50
x = $122.50/$24.50 = 5
So with that amount of money, 5 people can go to the amusement park.
If you want to learn more about linear equations, you can read:
https://brainly.com/question/1884491
The function f(x) is shown in this graph.
The function g(x) = -2x - 5.
Compare the slopes and y-intercepts.
A. The slopes are different but the y-intercepts are the same.
B. Both the slopes and the y-intercepts are different.
C. The slopes are the same but the yintercepts are different.
D. Both the slopes and the y-intercepts are the same.
The true statement about the functions f(x) and g(x) is (b) B. Both the slopes and the y-intercepts are different.
How to compare the slope and the y-intercept?The function g(x) is given as:
g(x) = -2x - 5
A linear equation is represented as:
y = mx + b
Where m represents the slope, and b represents the y-intercept.
So, the slope of the function g(x) is -2 and the y-intercept is -5
For the function f(x), the slope is calculated using:
m =(y2 -y1)/(x2 - x1)
Using the points on the graph, we have:
m =(3 - 1)/(1 - 0)
Evaluate
m = 2
The line of the function f(x) cross the y-axis at (0,3);
So, its y-intercept is 3
Hence, both functions have different slopes and different y-intercepts
Read more about linear functions at:
https://brainly.com/question/14323743