Step-by-step explanation:
2 · c - 5 · 2 - 3 = 2c - 10 - 3
2c - 10 - 3 = 2c - 7
Find the length of the segment AB if points A and B are the intersection points of the parabolas with equations y=−x2+9 and y=2x2−3 .
Answer:
Answer:
AB=4
Step-by-step explanation:
Answer:
AB=4
Step-by-step explanation:
1. Since you are finding the intersection points of two parabolas:
a. y=-x²+9
b. y=2x²-3
2. You have to set them equal to each other:
2x²-3= - x²+9
2x²+x=9+3
3x²=12
x²=4
This is the crucial part; the absolute value of x is equal to plus minus the square root of 4, since either -2 squared with parentheses or 2 squared is equal to 4.
√x²=±√4
x=±2
or
x=2; x=-2
3. Then you substitute them into each equation. For this step, any sign 2 will work.
a. y=-(2)²+9
y=-4+9
y=5
b. y=2(2)²-3
y=8-3
y=5
4. So our coordinates will be (2,5) and (-2,5). These are the points of intersection.
5. Now we use the distance formula:
The subscripts didn't work for this but I mean the square root of x 2 - x 1 in parentheses plus y 2 -y 1.
=
√16=
4
The absolute value rule that I mentioned above doesn't work for this because its a distance and you can't have a negative distance.
So AB=4
The distance between two points (x₁, y₁) and (x₂, y₂) is given by:
[tex]D = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]
With this, we will found that the distance between A and B is: 4 units.
The first thing we need to do is find A and B.
We know that the points are the intersection between the two parabolas.
y = -x^2 + 9
y = 2*x^2 - 3
The intersection is given by the zeros of the difference:
(2*x^2 - 3) - (-x^2 + 9) = 0
3*x^2 -12 = 0
3*x^2 = 12
x^2 = 12/3 = 4
x = √4 = ±2
To find the points, we need to evaluate one of the parabolas in these two x-values.
Let's use the first one:
y = -(2)^2 + 9 = 5
So we have the point (2, 5)
For the other point:
y = -(-2)^2 + 9 = 5
So we have the point (-2, 5)
Then we can define:
A = (2, 5)
B = (-2, 5)
Using the distance equation we get:
[tex]D = \sqrt{(2 - (-2))^2 + (5 - 5)^2} = 4[/tex]
The distance between A and B is 4.
If you want to learn more, you can read:
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4465/1000 in simplest form?
Answer:
893/200
Step-by-step explanation:
The GCM (greatest common factor) is 5
Divide both the numerator and denominator by 5
4465/5 = 893
1000/5=200
So the answer is 893/200
Zelly works 10 hours a week at a food market for $6.50 an hour she takes Home $5.20 an hour after deductions what is her rate for deductions use an equation to model the problem and solve it use our to represent the rate for her deductions
Answer:
$1.40/ hour
Step-by-step explanation:
The rate of the deductions is
Full amount minus new amount. This is the amount taken per hour
$6.50/ hour -$5.2/hour = rate
$1.40/ hour
Write the ratio 7/8 in two different forms
Solve for x.
[tex] - 2(6 + x) = 18 - 3x[/tex]
x = [?]
Solve the equation
6 - ( 3 - c ) = 2
Answer:
c = -1
Step-by-step explanation:
6 - (3 - c) = 2
6 - 3 + -(-c) = 2
3 + c = 2
c = 2 - 3
c = -1
Check:
6 -(3-(-1)) = 2
6 - (3+1) = 2
6 - 4 = 2
Answer:
C=-1
Hope this helped! :) if it was correct please give me brainliest!
Maggie owes the candy store $35. Each of 5 friends will help her pay off her debt. How much will each friend pay?
Answer: $5
Step-by-step explanation:
1)Take the total amount of money divided by the number of friend like this:
35/5
2)You should get $5 which is the amount of money that each friend will have to pay.
Answer:
5
Step-by-step explanation:
$35 divided by 5 friends = $5 per person
What is (2a^3 b^4 c^3)^2 • (4a^2 bc^3)
Answer:16 a 8 9 c 9
Step-by-step explanation:
x + x + 1 + 2 = 48?
Step-by-step explanation:
x + x + 3 = 48
2x = 48 - 3
2x = 45
x = 45/2
Answer:
x = 45/2
Step-by-step explanation:
x+x+1+2 = 48
combine like terms
2x + 3 = 48
2x - 3 = -3
2x = 45
2x/2 = 45/2
x = 45/2
the residents of the state of texas pay an 8.25% sales tax on most purchases.which decimal represents the texas state sales tax?
A) 0.825
B)0.00825
C)0.0825
D)8.250
You pay $30 each month for satellite TV, plus $2.50 for every movie you purchase. Write and solve an equation to find the number of movies purchased during a month with a total bill of $45. What is it in an equation and how many movies do you purchase. Im on a timed thing so please be speedy
Answer:
6 movies
Step-by-step explanation:
45-30=15 spent on movies
divide the 15 by 2.5 to get 6.
$30+$2.50m=$45
where m is the amount of movies
Answer:
let he purchaseed x movies
30 + 2.5x = 45
or 2.5x = 15
x=15/2.5 =6
Step-by-step explanation:
Marty drew a model of the school library. The total area of the floor is 132 square
centimeters. What is the area of the shaded part of the model shown below?
10 centimeters
6 centimeters
What is the area of the shaded part?
Answer:
60
Step-by-step explanation:
Syeda had $80.45 in her bank account on Monday. She deposited $20.50 on Tuesday. She then withdrew $37.25 on Wednesday. How much did Syeda have left in her account on Thursday
Answer:
$22.70
Step-by-step explanation:
$80.45-$20.50=$59.95. $59.95-$37.25= $22.70.
hope i helped.
Answer:
22.70
Step-by-step explanation:
80.45
- 20.50
59.95
59.95
- 37.25
22.70
If A is an odd integer and B is an odd integer, is A*B sometimes, always, or never odd? Explain
Answer:
Always
Step-by-step explanation:
In order for an integer to be even, one of the factors must be 2. Otherwise, it is odd.
If A is an odd number, it does not have a factor of 2.
If B is an odd number, it also does not have a factor of 2.
Therefore, AB also does not have a factor of 2, so it is always odd.
Compare the process of solving
|x - 1 + 1 < 15 to that of solving
1x – 1| + 1 > 15.
Answer:
x-1+1<15; this gonna be x<15 and 1x-1+1>15 this is gonna be the same
Step-by-step explanation:
(p- 11p' + 17p2 + 2p - 6) = (p – 2)
Answer:
p=(9+\sqrt(353))/(34),(9-\sqrt(353))/(34)
Step-by-step explanation:
f(x) = 3(x-4)2-2
Pls help me solve
Answer:
x = 13/3
Step-by-step explanation:
Solve for x:
3×2 (x - 4) - 2 = 0
Hint: | Multiply 3 and 2 together.
3×2 = 6:
6 (x - 4) - 2 = 0
Hint: | Distribute 6 over x - 4.
6 (x - 4) = 6 x - 24:
6 x - 24 - 2 = 0
Hint: | Group like terms in 6 x - 24 - 2.
Grouping like terms, 6 x - 24 - 2 = 6 x + (-24 - 2):
6 x + (-24 - 2) = 0
Hint: | Evaluate -24 - 2.
-24 - 2 = -26:
6 x + -26 = 0
Hint: | Isolate terms with x to the left hand side.
Add 26 to both sides:
6 x + (26 - 26) = 26
Hint: | Look for the difference of two identical terms.
26 - 26 = 0:
6 x = 26
Hint: | Divide both sides by a constant to simplify the equation.
Divide both sides of 6 x = 26 by 6:
(6 x)/6 = 26/6
Hint: | Any nonzero number divided by itself is one.
6/6 = 1:
x = 26/6
Hint: | Reduce 26/6 to lowest terms. Start by finding the GCD of 26 and 6.
The gcd of 26 and 6 is 2, so 26/6 = (2×13)/(2×3) = 2/2×13/3 = 13/3:
Answer:x = 13/3
9x - 12 = 13 + 4x
Respuesta y ejemplo
Responder:
x=5
Explicada:
9x-12=13+4x
Suma 12 a ambos lados
9x-12+12=13+4x+12
simplificar
9x=4x+25
restar 4x de ambos lados
9x-4x=4x+25-4x
Simplifica de nuevo
5x=25
dividir ambos lados entre 5
5x/5=25/5
Simplifica de nuevo
x=5
The unit digit in the square of the number 132 is options are:- 1) 1 2) 2 3) 3 4) 4
plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz answer fast
132*132= 17424
so unit digit is 4 Step-by-step explanation:
Which of these scales is equivalent to the scale 1 cm to 5 km? Select all that apply.
35 cm to 1 km
1 mm to 150 km
1 mm to 500 m
5 mm to 2.5 km
3 cm to 15 km
Answer:
E; 3cm to 15km
Step-by-step explanation:
1cm to 5km
NOT A:
35cm to 1km
×5
175cm to 5km
NOT B:
1mm to 150km
÷ 30
1/30mm to 5km
NOT C:
1mm to 500m
× 10
10mm to 5km
NOT D:
5mm to 2.5 km
× 2
10mm to 5km
E:
3cm to 15km
÷ 3
1cm to 5km
There are nine water bottles in Devin's refrigerator. He adds three full boxes of water bottles to the refrigerator. Then he adds two more boxes that each has 1 fewer bottle than a full box. When he is done, there are 67 bottles in the refrigerator. Write and solve an equation to find the number of bottles in a full box.
Write the equation.
Answer:
There are 12 bottles of water in a full pack.
Step-by-step explanation:
look at screen shot for answer.
-8(-x - 7) = 120
I forgot how to do equations pls help
Answer:
x = 8
Step-by-step explanation:
Given
- 8(- x - 7) = 120 ( divide both sides by - 8 )
- x - 7 = - 15 ( add 7 to both sides )
- x = - 8 ( multiply both sides by - 1 )
x = 8
Chrysanthemum is serving iced tea and lemonade at a picnic. She has only 80 glasses in which to
serve the drinks. If x represents the number of glasses of iced tea and y represents the number of
glasses of lemonade, which equation represents the number of glasses of ice tea she can serve?
Answer:
80=x+y
Step-by-step explanation:
The maximum amount of glasses is 80; the solution cannot be more than 80; the number of glasses of lemonade and of iced tea cannot be more than 80 total.
Which of these numbers rounds to 7.6? 7.546 7.630 7.670 7.720
Answer:
Step-by-step explanation:
only 7.630 round to 7.6
The angle measurements in the diagram are represented by the following expressions.
A= 5x - 15°
B = 2x + 21°
Solve for x and then find the measure of
Answer:
45°
Step-by-step explanation:
A and B are Alternate exterior angles and congruent, thus
5x - 15 = 2x + 21 ( subtract 2x from both sides )
3x - 15 = 21 ( add 15 to both sides )
3x = 36 ( divide both sides by 3 )
x = 12
Thus
∠ A = 5x - 15 = 5(12) - 15 = 60 - 15 = 45°
∠ B = 2x + 21 = 2(12) + 21 = 24 + 21 = 45°
Identify the graph of the inequality 2(2x – 1) + 7 < 13 or –2x + 5 < –10.
Answer:
–2x + 5 < –10.
Decimal Form: 7.5
15/2
Answer:
the answer is C on edge
if f(x)=2x+5 and g(x)=x+3, write an expression that is equivalent (f g)(x)
can someone help me answer this
Answer:
8m + 5/m -10 m^2
Step-by-step explanation:
24m^4 / 3m^3 = 8m
15m^2 / 3m^3 = 5/m
- 30m^5 / 3m^3 = -10m^2
Putting these back together
8m + 5/m -10 m^2
A car is traveling at a rate of 93 miles per hour. What is the car's rate in miles per minute? How many miles will the car travel in 15 minutes? Do not round y
answers.
Answer: The car is going 1.55 miles per minute.
Step-by-step explanation: Since there are 60 minutes in an hour, and the car is going 93 mph, you would simply divide 93 by 60.
The car's rate in miles per minute is 1.55 miles.
The car will travel 23.25 miles in 15 minutes.
What is Speed- Distance Formula?Speed = Distance/Time Distance = Speed X TimeTime = Distance / SpeedGiven:
A car is traveling at a rate of 93 miles per hour.
In 60 minutes the car travel = 93 miles
So, In one minutes the car travels = 93 /60
= 1.55 miles
and, In 15 minutes the car travel = 1.55 x 15
= 23.25miles
Learn more about Speed- Distance Formula here:
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Harry and Jenny are going to the movies. They each bought a medium popcorn, and Harry got a small soft drink. Jenny had a $4 coupon as a discount, and Harry paid the rest, which came to $23. A movie ticket costs $8, and a medium popcorn costs $4.50. What was the cost for a soft drink?
Answer:
2$
Step-by-step explanation:
2 medium popcorns = 9$
2 Movie tickets = 16$
One coupon = -4$
This is equal to the cost without the soft drink(21$)
23$ - 21$ = 2$
Answer:
$2
Step-by-step explanation:
It was originally $27 but, Jenny used a $4 coupon. Each movie ticket costs $8, each popcorn cost $4.50.
1. Start from the cost of each item.
8+8=16 (cost of the tickets)4.50+4.50=9 (cost of the popcorn) .2. Add the totals together.
16+9+ 25
Now subtract 25 from the original amount.
27-25=2
It costs 2 dollars for a soft drink.