Answer:
A and A
the equation of a parabola in vertex form is
y = a(x - h)² + k
where ( h, k ) are the coordinates of the vertex and a is a multiplier
y = - 2(x + 3)² + 2 is in this form
with vertex = ( - 3, 2)
To find the y-intercept let x = 0
y = - 2(3)² + 2 = - 18 + 2 = - 16
Similarly
y = - 2(x + 2)² + 2 is in vertex form
vertex = ( - 2 , 2)
x = 0 : y = - 2(2)² + 2 = - 8 + 2 = - 6 ← y- intercept
hope this helped
solve for b d=3a+3b
[tex]b = - a + \frac{1}{3} d[/tex]
A company makes two sizes of dog toys. The regular size works for most dogs, and the jumbo size is for really big dogs! Last week, the company made 1,740 dog toys. They made 11 times as many regular size toys as jumbo size toys. How many jumbo size dog toys did they make?
Answer: 1595 jumbo size
Step-by-step explanation:
From the question, let regular size toys be represented by a.
We are informed that the company made 11 times as many regular size toys as jumbo size toys. This means that:
Jumbo side toys = 11 × a = 11a
To calculate the number of jumbo size dog toys they make goes thus:
11a + a = 1740
12a = 1740
a = 1740/12
a = 145
Jumbo size toys = 11a
= 11 × 145
= 1595
Can y’all help me please:)
Answer:-9
Step-by-step explanation:
that is the answer
If using the method of completing the square to solve the quadratic equation x^2-15x-10=0, which number would have to be added to complete the square
Answer:
[tex]\bold{\dfrac{225}4}[/tex]Step-by-step explanation:
[tex]x^2-15x-10=0\\\\x^2-2\cdot x\cdot\frac{15}2+(\frac{15}2)^2-(\frac{15}2)^2-10=0\\\\(x-\frac{15}2)^2-\frac{225}4-10=0[/tex]
So to complete the square we need to add (and subtract) the number [tex]\frac{225}4[/tex]
The figure shown is reflected over the x-axis, then reflected
over the y-axis, and then translated 3 units right.
Which graph best represents the new position of the figure
after the three transformations?
Select one:
Answer:
grapgh?????
Step-by-step explanation:
Is √3,600 rational? Or a perfect square
Answer:
Yes to both
Step-by-step explanation:
Can someone check my answers for my homework im not sure i did it right
Answer:
i think you did it right :)
Step-by-step explanation:
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
Don't worry about anything you got it. Great work!
Angie has to fill in a reading log for her English class. She is required to read a total of 10 and 5 over six hours a week. On Monday she read 1 and 1 over 3 hours, Tuesday she read 3 over 4 of an hour and Thursday she read 3 hours. How many total hours does she still need to read in order to get full credit?
Given:
She is required to read a total = [tex]10\dfrac{5}{6}[/tex] hours a week.
Monday she read [tex]1\dfrac{1}{3}[/tex] hours.
Tuesday she read [tex]\dfrac{3}{4}[/tex] of an hour.
Thursday she read 3 hours.
To find:
The total hours does she still need to read in order to get full credit.
Solution:
Total time = [tex]10\dfrac{5}{6}[/tex] hours a week.
Total time she already read [tex]=1\dfrac{1}{3}+\dfrac{3}{4}+3[/tex] hours
[tex]=\dfrac{1\times 3+1}{3}+\dfrac{3}{4}+3[/tex] hours
[tex]=\dfrac{4}{3}+\dfrac{3}{4}+3[/tex] hours
[tex]=\dfrac{16+9+36}{12}[/tex] hours
[tex]=\dfrac{61}{12}[/tex] hours
Now,
Remaining time = Total time - Total time she already read
[tex]=10\dfrac{5}{6}-\dfrac{61}{12}[/tex]
[tex]=\dfrac{65}{6}-\dfrac{61}{12}[/tex]
[tex]=\dfrac{130-61}{12}[/tex]
[tex]=\dfrac{69}{12}[/tex]
[tex]=\dfrac{23}{4}[/tex]
[tex]=5\dfrac{3}{4}[/tex]
Therefore, the required time is [tex]5\dfrac{3}{4}[/tex] hours.
The polynomial p(x)=3x^3-5x^2-4x+4 has a known factor of (x-2)
Answer:
3x^2-x-2 or (x+1) (3x-2) (x-2)
Step-by-step explanation:
I'm assuming you have to divide:
(x-2)[tex]\sqrt{3x^3-5x^2-4x+4}[/tex]
Hope this helps.
Answer:
p(x)=(x+1)(3x-2)(x-2)
Step-by-step explanation:
HELP ! -4.1 , - 3.5 , 5.3 , - 1.4 order from least to greatest !!!
Answer:
-4.1, -3.5, -1.4, 5.3
Step-by-step explanation:
hope this helps!
READ THE END! PLEASE HELP! OK, will mark best straight answer with brainiest (with explanation) URGENT! Justin's sand castle is 180 cm tall but the wind is blowing away sand at a rate of 8 cm per minute. Taylor's sand castle is 160 cm tall and she is adding sand to it at a rate of 6 cm per minute. After how many minutes will their sand castles be at an equal height? [ Also, if its 17.5 please explain what happened to 180 & 160!!! ]
Answer:
Both castles will have the same height at 3.33 minutes
Step-by-step explanation:
This problem will be solved with linear modeling, that is, expressing both people's sand castle's height as a function of time.
Justin built a sandcastle 180 cm tall, and its height is losing at 8 cm/min by the effect of wind. Thus, the height of Justin's sandcastle is:
[tex]H_J=180-8t[/tex]
Where t is the time expressed in minutes.
Taylor's sandcastle is initially 160 cm tall. The wind blows away sand at 8 cm/min but she adds sand at 6 cm/min, thus the real loss of sand is 8 cm/min - 6 cm/min= 2 cm/min. Thus, the height of Taylor's sandcastle is:
[tex]H_T=160-2t[/tex]
To find when both castles have the same height, we set:
[tex]180-8t=160-2t[/tex]
Simplifying:
6t=20
Solving:
t=20/6=3.33\ minutes
Both castles will have the same height at 3.33 minutes
Tyson and his friends go to ice skating. Tyson must pay an initial fee of $18.30 plus $4.80 per hour. Which equation can be used to find h, the number of
hours he can skate, if he pays a total of $37.50?
37.50 -4.80 + 18.30h
37.50 - 18.30 + 4.80 +h
37.50 - (18.30 + 4.80)
37.50 - 18.30 + 4.80h
Answer: 37.50-18.30+4.80h
Provide reasons for the proof.
Given: ∠2≅∠4 and ∠2 and ∠3 are supplementary
Prove: ∠1 ≅∠3
Answer:
See picture below.
Explanation
I took the test and got a 100% on it, so this should be right for any future students.
HELP PLEASE PLEASEEEEEEE
Answer:
about 1854.55 miles (rounded to the hundredth)
Step-by-step explanation:
1.
[tex] \frac{44}{100} = \frac{816}{x} [/tex]
The first fraction represent the percentage of the distance.
The second one represent the number of 816 miles out of x
2. 100 × 816 = 44 × x
3. You'll get 81,600 = 44x
4. and then you divided both side by 44 to solve for x
0.4 (3d - 5) =4 hi :)))))
Answer:
d=5
Step-by-step explanation:
0.4 times 3= 1.2
0.4 times -5= -2
4+5= 6
6/1.2=5
Which of the following describes a square root of 41?
A.between 5 and 6
B.between 6 and 7
C.between 20 and 21
D.between 40 and 42
Answer:
the answer is b between 6 and 7
Step-by-step explanation:
i say this because the square root of 41 is 6.4031.
6.4031 is in between 6 and 7.
hope this helps :)
If you order 3 chickens wraps and order 2 orders of potatoes for a total bill of $42.95 someone else orders 5 chicken wraps and 4 orders of potatoes for a total bill of $74.91. What is the cost of a chicken wrap and what is the cost of one order of potatoes
Answer: The cost of a chicken wrap is $10.99
The cost of one order of potatoes is $4.99.
Step-by-step explanation:
Let the cost of a chicken wrap be x
Let the cost of one order of potatoes be y.
From the question,
3x + 2y = $42.95 ...... equation i
5x + 4y = $74.91 ....... equation ii
Multiply equation i by 5
Multiply equation ii by 3
15x + 10y = $214.75 ..... equation iii
15x + 12y = $224.73 ....... equation iv
Subtract equation iv from equation iii. This will be:
-2y = -$9.98
y = $9.98/2
y = $4.99
Since 3x + 2y = $42.95
3x + 2($4.99) = $42.95
3x + $9.98 = $42.95
3x = $42.95 - $9.98
3x = $32.97
x = $32.97/3
x = $10.99
The cost of a chicken wrap is $10.99
The cost of one order of potatoes is $4.99.
-2 (3x - 6) + 4 (5x - 8) = 92
Answer: x=7
Step-by-step explanation:
Is this right? I need help pls, I'm failing
Answer:
its right
Step-by-step explanation:
you are insine or what ever you know what i mine alright im not smart or dum
3 7/10 x 7 what is the answer in fraction form or decimal form. Perhaps both
Answer:
Step-by-step explanation:
3 7/10 *7
37/10 *7
259/10
25.9 or 25 9/10
Please answerrr!!! (don’t answer if you don’t know it) will give brainliest
En la figura, la suma de las medidas p + q + r + s =/In the figure, the sum of the measures p + q + r + s =
And if someone know the explanation please write it
Answer:
I think its 300
Step-by-step explanation
This is from my understanding, so I may be a bit wrong.
1. First observe the amount of triangles that form, you have two main triangles and one isosceles triangle that forms in the middle by how these are joined together.
2. Using this idea we will come up with the equations of each triangle that has been formed.
3. We can observe that almost all angles are named with a variable except the one in the middle, being an isosceles we will name the missing variable y.
4. Triangle 1(left side) or T1 equals 180 degrees but what angles form this triangle, these would be p+q+y = 180, T2(right side) = r+s+y = 180
5. After creating these two triangles we notice that we have not taken into account the triangle in the middle, we are given 1 angle of this isosceles. There is a mathematical property which I don't remember the name, but essentially the angle below is the same as the angle above, this being 120 degrees. This will result in T3 = 2y + 120 = 180
6. Solve for y, which gives us y=30, *simple triangle math you know*
7. Finally we fix our equations for p+q+r+s, essentially T1 and T2 will transform into p+q = 180-y and r+s = 180-y, we add them up forming p+q+r+s = 2(180-y)
8. Solve the equation p+q+r+s = 360 - 2y which when adding y becomes p+q+r+s = 360-60 = 300
Notes: when doing these exercises it is important to take into account every triangle, the isosceles triangle is very vital for solving it, as it gives us a way for making an equation that is single handedly dependent on y a constant we can find and use. A good approach for these issues would be writing every piece of information as separate sets and then trying to join them using algebra.
You traveled 52 miles. Then, your avg rate is 12 mph. What algebraic exp.
models the distance?
Answer:y=12x
Step-by-step explanation:
The algebraic equation that models the distance will be d = 12 * t ,
where d = distance traveled and t = time taken to travel.
What is the average speed?The total distance traveled by the object in a given time interval is the average speed. A scalar quantity is an average speed. It is represented by the magnitude and lacks direction.
Avg. speed = [tex]\frac{Total distance travelled}{Total Time Taken}[/tex]
Given :
Total distance traveled = 52 miles.
Average Speed = 12 mph
Let the time taken by t hours.
Therefore, according to the formula: 12 = 52 / t
52 = 12 * t
in order to convert it into algebraic form, let d = 52
Hence, The algebraic equation that models the distance will be
d = [tex]12 *t[/tex]
where d = distance traveled and t = time taken to travel.
To learn more about average speed, refer to :
https://brainly.com/question/21097620
#SPJ2
For your birthday, you had a party at The Main Event. Your parents paid for you and 9 friends to play one game of bowling and one game of laser tag. It costs $8 for each combo ticket (covers both bowling and laser tag). Your parents also paid for a meal ticket ($6) for all of you to have pizza and a drink, but only you and 6 of your friends wanted a meal ticket.
6. Write an expression and solve it to find how much money your parents spent for the games and food/drink at The Main Event. Show all work
Answer:
$140
Step-by-step explanation:
8x+6x
Use the model to solve for x.
A) x = 2
B) x = 4
C) x = 8
D) x = 12
9514 1404 393
Answer:
B) x = 4
Step-by-step explanation:
You observe that the smaller number of (+1) tokens is 2 of them, found on the right side. Remove 2 (+1) tokens from each side to get ...
x + 4 = 2x
The smaller number of (x) tokens is 1, found on the left side. Remove 1 (x) token from each side to get ...
4 = x . . . . . matches choice B
_____
Comment on this approach
In general, this is a decent approach to use for solving any linear equation. You may find that x and number tokens end up on the same side of the equal sign (with 0 on the other side). Then you need to add some number of (-1) tokens to both sides to cancel the ones on the side with x.
At the end, you may need to split the problem evenly into equal parts according to the number of times x appears. (If this had been x+6 = 3x+2, then you would end with 4=2x. Splitting that into two equal parts, each would be 2=x.)
A farmer has 1000 feet of fencing and wants to enclose a rectangular yard, and divide it into four pens as shown.
a. Find a function A(x) modeling the total area as a function of x, Hint: write the amount of fencing needed
in terms of x and y and set that equal to 1000, then you can solve for y. This should allow you to write
down the area in terms of x alone. Your function should be a quadratic function.
9514 1404 393
Answer:
A(x) = -2/5x^2 +200x
Step-by-step explanation:
There are 5 lengths of fence that are y long, and 2 lengths of fence that are x long. So, the perimeter is ...
5y +2x = 1000
Then the value of y is ...
y = (1000 -2x)/5
The area is the product of x and y:
A(x) = xy
A(x) = x(1000 -2x)/5
A(x) = (2/5)(x)(500-x) . . . a convenient form for finding the maximum area
In standard form, the equation is ...
A(x) = -2/5x^2 +200x
What number is 64% of 120?
i don’t need solutions , just answer please and thank you !!! ❤️
76.80
Step-by-step explanation:Hi there !
100% .............. 120
64% .....................x
x = 64×120/100
= 7680/100
= 76.80
Good luck !
Solve for x please help me
Tristan bought 23 chicken wings for $57.50. What's the unit cost of one wing?
Answer:
$2.50
Step-by-step explanation:
to find the unit price you would divide it by 23
so 57.50/23=2.50
hope this helps
brainliest?
I need some help with (−3f−5f+9)−(−6f+2)
Answer:
the correct answer would be -2f+7