Answer:
[tex]\boxed{\bold{\,f(x)=2(x-1)^2-9\,}}[/tex]
Step-by-step explanation:
[tex]f(x)=2x^2-4x-7\\\\f(x)=2(x^2-2x-3.5)\\\\f(x)=2(\underline{x^2-2x+1^2}-1^2-3.5)\\\\f(x)=2\big((x-1)^2-4.5\big)\\\\f(x)=2(x-1)^2-9[/tex]
Vertex: (1, -9)
There were 28 boys on the boy's basketball team and 16 girls on the girl's basketball team last year. This year the number of boys decreased by 8% but the number of girls increased by 19%. Was there an increase or decrease in overall participation?
There is an increase in total participants.
What is unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given:
number of boys = 28
Number of girls = 16
Total participants = 28 + 16 = 44
Now, there is decrease in number of boys by 8%
= 28- 8% x 28
=28- 8/100 x 28
=28 - 0.08*28
=28 -2.24
= 25.76
and, there is 19% increase in number of girls
=16 + 0.19 x 16
=16 + 3.04
=19.04
So, total participants = 25.76 + 19.04
= 44.8
Hence, there is an increase in total participants.
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Complete the statements below that show y = 8x2 + 32x + 17 being converted to vertex form.
Factor out the leading coefficient.
y = 8(x2 + 4x) + 17
Form a perfect-square trinomial.
Answer:
y = 8(x + 2)^2 + -15
Step-by-step explanation:
Factor out the leading coefficient.
y = 8(x2 + 4x) + 17
Form a perfect-square trinomial.
y = 8(x2 + 4x + 4) + 17 + -32
Write in vertex form.
y = 8(x + 2)^2 + -15
Answer:
4, -32
Step-by-step explanation:
Write and solve the equation, and then check your answer.
The sum of two and two tenths and a number is five.
Which statements are correct? Check all that apply.
A.The word “sum” means the result of adding two numbers.
B.The correct equation is n – 2.2 = 5.
C.The correct equation is n + 2.2 = 5.
D. The solution of the equation is n = 7.2.
E.The solution of the equation is n = 2.8.
F.Check the solution by substituting the value for n and simplifying.
Answer:
A, C, E, F
Step-by-step explanation:
I took the assignment
Answer:
A,C,E,F
Step-by-step explanation:
I KNOW IT IS
At the beginning of the school year, Jamie had $500 in her savings account. She wants to have at least $200 left in the account at the end of the school year. Each week, she withdraws $30 for spending money. To determine how many weeks she can spend $30, Jamie wrote and solved this inequality. 500 − 30x ≥ 200 −500 −500 −30x ≥ −300 x ≥ 10 Review Jamie's work. What was her error?
Answer:
Step-by-step explanation:
Given the inequality solved by H=Jamie expressed as:
500 − 30x ≥ 200
We need to calculate the range of x of the inequality to determine the number of weeks she can spend $30 as shown:
500 − 30x ≥ 200
Subtract 500 from both sides
500 − 30x - 500≥ 200 - 500
− 30x ≥ -300
Divide both sides by -30
− 30x/-30 ≥ -300/-30
x ≤ 10 (note that the inequality sign changes after dividing both sides by a negative sign)
Jamie's error was that she didn't change the sense of inequality after dividing both sides by -30 hence rendering her solution incorrect
Hence the number of weeks is less than or equal to 10.
Answer:
Answer is B
Step-by-step explanation:
Jamie should have reversed the inequality when using the division property of inequality. is the right answer hope it helps
What is the length of the altitude of the equilateral triangle below?
A: 32
B: 8 : 3
C: 4
D: 4 : 3
E: 1
F: 8
Answer:
D
Step-by-step explanation:
AP3X
pog
The altitude of the triangle is 4√3 which is the correct option (D)
What is the right triangle?A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.
In any equilateral triangle, the three angles are of equal measure and they equal 60 degrees.
When we drop a perpendicular that is the height of the triangle we have a 30 -60 90 triangle.
The hypotenuse = 8
Let, perpendicular = a and base = 4
According to Pythagoras theorem,
A right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
perpendicular²+base² = hypotenuse²
a² + (4)² = (8)²
a² + 16 = 64
a² = 64 - 16
a² = 48
a = √48
a = 4√3
Hence, the altitude of the triangle is 4√3
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PLEASE HELP FAST
write an inequality and solve it
Answer:
1>2x
Step-by-step explanation:
1>2x
1/2= one half
2x/2= x
one half>x
If the selling prices of 20 pens are equal to the cost price of 25 pens, what is the gain percentage?
[tex]\huge\bold\red{Answer:-}[/tex]
No(0)Let the cost price of the 20 pens be ₹100.
Cost of each pen=₹100/20=₹5
Selling price of each 25 pens sold=₹100/25=₹4.
%LOSS:
If cost of each pen. = 5=100%
..selling price of each pen. = 4= ?%.
Cross multiply:5? =400
?=80%
So,%loss= 100%-80%=20%
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Pls pass this on. Everyone deserves to know this. ♥️♥️
Answer:
Wait aww this is so sweet of you thank you <3
Mrs. Nixon went to the store to buy candy for her
students. Candy was on sale for $0.90 per
pound. If Ms. Nixon purchased 2.5 pounds of
candy, how much did she pay?
Answer:
$2.25
Step-by-step explanation:
First, we (always) highlight key details. In this case, we would highlight that th candy is 90 cents per pound, and the she bought 2.5 pounds. Now, we just multiply 2.5 by .90, and boom! We get $2.25. Mrs. Nixon spent $2.25 (or two dollars and twenty-five cents) on candy bars.
After watching some fish 40 feet below the surface of the water, a scuba diver went up 15 feet to explore a coral reef. Use a number line to help you create an equation that shows the location of the coral reef in relation to the water's surface.︎︎︎︎︎︎︎ ︎︎︎︎
Answer: -40 + (-15) = -55
Step-by-step explanation:
Answer: The answer is -40 + (-15) = -25
Step-by-step explanation: I just did the test and thankfully I got the answer right.
Hope this helps
The figure shows a right triangle next to a square.
What is the total area of the shape they make?
Answer:
Step-by-step explanation:
By using the Formula:
Areatriangle=10*5/2=25
Areasquare=5*5=25
Total Area is: 25+25=50
It will be nice if you give me brainliest.Good luck!
Answer:
50cm²
Step-by-step explanation:
Square- length x breadth
=5cmx 5cm
=25cm²
Triangle- ¹/₂ x base x perpendicular height
= ¹/₂x 5cm x 10cm
=25cm²
Square- 25cm²
Triangle-+25cm²
total area- 50 cm²
I hope it helps
Thank U
help! thank you so much
Answer:
There are no solutions. Hope this helps! :)
help please !
need done before 11:59
I am not 100% sure about this. However, I think the answer is the definition of a midpoint. Because it would make sense that if C is the midpoint of AG then ACM ≅CGP
You have $300 to spend on school clothes shirts cost $15 and pants $20
Answer
19 pants and 6 shirts
helpp please i need your helppppp
Answer:
1/2 or .5
Step-by-step explanation:
If you type in ur calculated you get .5 all you have to do is -.8 times by -5/8
Answer:
0.5
Step-by-step explanation:
POSSIBLE PO In a bag there are 10 red marbles, 5 green marbles, and 5 blue marbles. Wh at is the ratio IN FRACTION FORM of RED marbles to the total?
Answer:
10/20 = 1/2
There are a total of 20 marbles, and ten of those are red = 10/20
Which, is half of the total.
is 3/17 rational or irrational
Answer:
A rational number is a number that can be put in the form p / q where p and q are integers.
3 and 17 are integers
3 / 17 is rational
The formula t=√h/4 represents the time t in seconds that it takes an object to fall from a height of h feet. If a rock falls from a height of 125 feet, estimate how long it will take to reach the ground
Answer:
it would take 14mph
Step-by-step explanation:
A function assigns the values. The time it will take for the rock to reach the ground from a height of 125 feet is 2.795 seconds.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
Given that the formula t=√h/4 represents the time t in seconds that it takes an object to fall from a height of h feet.
Now, in order to calculate the time, it will take for the rock to fall from the height of 125 feet, simply substitute the height of the rock from which it is dropped in the formula given.
Therefore, the time it will take for the rock to reach the ground from a height of 125 feet is,
t = √h / 4
t = (√125) / 4
t = (5√5) / 4
t = 2.795 seconds
Hence, the time it will take for the rock to reach the ground from a height of 125 feet is 2.795 seconds.
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∠A and \angle B∠B are supplementary angles. If m\angle A=(4x-30)^{\circ}∠A=(4x−30)
∘
and m\angle B=(4x-14)^{\circ}∠B=(4x−14)
∘
, then find the measure of \angle A∠A.
Answer:
the measure of ∠A. is 87∘
Step-by-step explanation:
Two angles are said to be supplementary angles if the sum of those angles is 180 degrees.
_________________________________________________
Given
∠A=(4x−30) ∘
∠B=(4x−14) ∘
Fir angles to be supplementary
∠A + ∠B = 180
(4x−30) ∘ + (4x−14) ∘ = 180∘
(8x -54 )∘ = 180∘
=> 8x = 180∘ + 54∘= 234∘
=> x = 234∘/8 = 29.25∘
Thus,
∠A=(4x−30) ∘
∠A=(4*29.25−30) ∘ =( 117 - 30 ) ∘ = 87∘
Thus,
the measure of ∠A. is 87∘
Liam is constructing a square in which two of its vertices are points A and B. He has already used his straightedge and compass to construct the lines and arcs shown.
What should Liam do for his next step?
A. Place the point of the compass on point A and draw any arc above it.
B. Use the straightedge to draw a horizontal line that contains point E.
C. Use a straightedge to draw AE¯¯¯¯¯.
D. Place the point of the compass on point B and draw an arc that intersects BE¯¯¯¯¯, using AB as the width for the opening of the compass.
Answer:
Step-by-step explanation:
B
Answer:
The correct answer is D.D) Place the point of the compass on point B and draw an arc that intersects BE¯¯¯¯¯, using AB as the width for the opening of the compass.
Step-by-step explanation:
You extend your compass the width of line AB and then place the compass point on point B, create an arc on point E.
Then, without adjusting the compass expansion, proceed to do the same on point A. Point of compass on point A, create arc above. Etc
I hope this helps!
Can someone help me?
Answer:
x = 10
Step-by-step explanation:
50 + 4x = 90
4x = 40
x=10
find the distance between a(-3,1) and b(-5,5)
Answer: 6.4236
Step-by-step explanation:
While shopping for clothes, Curtis spent $78 less than 3 times what Daniel spent. Curtis spent $21. Write and solve an equation to find how much Daniel spent. Let x represent how much Daniel spent.
5,2,-1,-4,-7 arithmetic
Which quadrant contains the point named by (2,5)
Answer:
Quadrant 4
Step-by-step explanation:
What is the value of the point on the number line?
5/8
3/8
5/7
4/6
Jules cut 2.75 inches from a metal rod. The metal rod is now 10.5 inches long. Which equation can be used to find the length of the metal rod before it was cut? Group of answer choices
L = 10.5 + 2.75
What are the answer choices?
Answer:
The solution for the equation 1,056=b+670
Step-by-step explanation:
Roxy is multiplying 18 by 43.
Use the drop-down menu to complete the statement.
1
4
1
The product × will be
.
8
3
8
Answer:
774,
Step-by-step explanation:
Mofor had some candy to give to his three
children. He first took two pieces for
himself and then evenly divided the rest
among his children. Each child received
four pieces. With how many pieces did he
start?
Answer:
He started with 14 peices of candy
Step-by-step explanation:
We know that there are three children and each gets 4 pieces so we do 3x4=12 and then add the 2 that he took for himself which gives us 14.
-8≤8+y for the solution?
Answer:
- 16 ≤ y
Step-by-step explanation:
- 8 ≤ 8 + y
- 8 -8
- 16 ≤ y
Answer:
Y>-16
The > is a greater than or equal to i just can’t put it in since I’m on my phone
Step-by-step explanation:
If you’re solving for y that should be the answer