Answers
Answer:
D (2, 5)
Step-by-step explanation:
To find the vertex of the quadratic function , we will follow the steps below
(x,y) = [-b/2a , f(-b/2a)]
x = -b /2a y = f(-b/2a)
The standard equation of a quadratic equation is y =ax² + bx + c
compare the above with the equation given, y = 3x² - 12x + 17
a = 3 b= -12 and c= 17
x = -b/2a
x = -(-12)/2(3)
x = 12/6
x = 2
y = f(-b/2a)
y = f (-b/2a) = f(x) = f (2)
y = f(x) =3x² - 12x + 17
To find f(2) simply mean to substitute x = 2 into the quadratic function above. That is;
f(2) = 3(2)² - 12(2) + 17
f(2) =12-24 + 17
f(2) =5
x = 2 and y = 5
(x,y) = (2, 5)
Related Questions
^ this week, The sparkling water was 4 for $5 , the regular was $1.69
Answers
Determine whether the proportion is true or false. 6 miles / 30 quarts = 30 miles/ 15 quarts
Answers
Answer:
False
Step-by-step explanation:
6 miles / 30 quarts
Divide by 6
1 miles / 5 quarts
30 miles /15 quarts
Divide by 15
2 miles/1 quart
These are not the same so they are not proportional
How to convert 1/4 to decimal form. How do I start that ? I obviously know it’s .25 but how do I show work ?
Answers
Answer:
(1/4 x 1 ) = 0.25
or (1/4) x 1 = 0.25
Step-by-step explanation:
We are doing the opposite to finding 25%
Which is 1/4 of 100%
We do this an opposite (not as inverse)
To find percentage increase as you can compare below.
or as percentage increase
230 x 0.25 (x 100) = 287.50
Even though we are not finding increase for 1/4 by changing it to decimal form, this practice does use the (x1) element in brackets and does identify the distribution.
Answer:
Use a calculator or use long division. See long division below.
Step-by-step explanation:
Use a calculator or use long division.
Long division:
------------------------------
4 | 1
4 does not go into 1, so add a decimal pace to 1.
0.
------------------------------
4 | 1.0
4 goes into 10 2 times.
0.2
------------------------------
4 | 1.0
- 8
--------------
2
There is a remainder, so bring down another 0.
0.2
------------------------------
4 | 1.00
- 8
--------------
20
4 goes into 20 5 times.
0.25
------------------------------
4 | 1.00
- 8
--------------
20
- 20
--------------
0
The remainder is zero.
1/4 = 0.25
Find the product:
-2x(-y - 3x + 3)
Answers
Answer:
[tex]=2xy+6x^2-6x[/tex]
Step-by-step explanation:
[tex]-2x\left(-y-3x+3\right)\\\mathrm{Distribute\:parentheses}\\=\left(-2x\right)\left(-y\right)+\left(-2x\right)\left(-3x\right)+\left(-2x\right)\cdot \:3\\\mathrm{Apply\:minus-plus\:rules}\\\left(-a\right)\left(-b\right)=ab,\:\:+\left(-a\right)=-a\\=2xy+2\cdot \:3xx-2\cdot \:3x\\\mathrm{Simplify}\:2xy+2\cdot \:3xx-2\cdot \:3x:\quad 2xy+6x^2-6x\\2xy+2\cdot \:3xx-2\cdot \:3x\\2\cdot \:3xx=6x^2\\2\cdot \:3x=6x\\=2xy+6x^2-6x[/tex]
please see the attached picture for full solution
Hope it helps
Good luck on your assignment
Triangle JKL has vertex coordinates J(0,-3), K(-1,0), and L(-2,-1). It is reflected across the line y = x. What are the coordinates of J’K’L?
A. J’(0,-3), K’(1,0), L’(2,-1)
B. J’(-3,0), K’(0,-1), L’(-1,-2)
C. J’(3,0), K’(0,1), L’(1,-2)
D. J’(0,3), K’(-1,0), L’(-2,1)
Answers
Answer:
B
Step-by-step explanation:
Under a reflection in the line y = x
a point (x, y ) → (y, x ), thus
J(0, - 3 ) → J'(- 3, 0 )
K(- 1, 0 ) → K'(0, - 1 )
L(- 2, - 1 ) → L'(- 1, - 2 )
Answer:
yee its B
Step-by-step explanation:
Picture 1: What is the value of x in this circle?
Picture 2: What is the degree measure of arc HG?
Answers
Answer:
Picture 1 x = 43°
Step-by-step explanation:
Picture 1 - When a triangle is formed inside a semicircle, two lines from either side of the diameter meet at a point on the circumference at a right angle.
180 - 47-90= 43° = x
Please do 1,2,3 for 10 points
Answers
Answers:
-218-2please see the attached picture for full solution
Hope it helps
Good luck on your assignment
Answer:
1. -2
2. 18
3. -2
Step-by-step explanation:
In the following explanations "x" is a variable which represents "a number" given in the problems.
1. You can set up a simple equation " x + 7 = 5 " because you are increasing a number to get the answer. From there you can subtract 5-7 and you'll get -2, the answer to the first one.
2. This time the number is decreased by 6, and the answer is 12. Since it's being decreased, you'll set up the equation like this: " x - 6 = 12 ". For this problem you can do 12 + 6 = 18, which is your answer.
3. A number "added" to -3 is -5. The number following 'is' will almost always be the answer you're looking for, so we can do x + (-3) = -5 . From there just add 3 to each side, and you'll get -2 + (-3) = -5.
If you take one thing away from this, let it be the following:
The methods that I used do work, but something I'd suggest trying in the future is carrying over the same number to the other side of the equation.
If you're struggling on these problems, this might help.
The way this works is simple, lets say you have this equation:
x + 5 = 10
The best and most efficient way of solving this problem is by taking a number from one side, and moving it to the other side. It seems confusing at first, but isn't all that hard once you figure it out. So for this problem:
x + 5 = 10
- 5 -5
Now you only have 'x' on the left side of the equation. This is the end goal. Once you get x on one side of the equation, the answer tends to be on the other side.
So:
x + 5 = 10
- 5 -5
x + 0 = 5 <- this is what you want.
x = 5
Hope this helps, and hope you learned more from this then an hour and a half at school :P
I’ll mark you brainliest
Answers
Answer:
42
Step-by-step explanation:
In a rectangle, the diagonals have the same length. Therefore:
[tex]3x+6=5x-18 \\\\3x+24=5x \\\\ 24=2x \\\\x=12 \\\\BD=5(12)-18=60-18=42[/tex]
Hope this helps!
Answer:
BD = 42
x=12 is found below as a way to find x
We can find 42 by adding together the equations
3x+6 = 5x-18
+18 = 5x(-3x-6)
18 + 6 = 2x
24 = 2x
x= 12
We can then plug in for 5x and 3x
as BD = 5x-18 = 3x+6
5(12) = 60 -18 = 42 and 3(12) =36+6 = 42
To find line BD = 42
Step-by-step explanation:
3x+6= 42
3x = 42-6
3x = 36
x = 12
5x-18 = 60
5x = 60- 18
5x = 42
x=12
x+y= 2
y=-12? + 3
\right.V)
1. In two or more complete sentences, explain how to solve the system of equations algebraically.
2. Solve the system of equations. In your final answer, include all of your work.
Answers
Answer:
11
Step-by-step explanation:
11
a box is 24cm by 15cm by 10cm. this box will packed with smaller boxes of paper clips which are 6cm by 3cm by 5cm . what is the largest number of boxes of paper clips that will fit in the bigger box?
Answers
Answer:
40 boxes
Step-by-step explanation:
box = 24 x 15 x 10 = 3600 cm
1 paper clip box = 6 x 3 x 5 = 90 cm
3600/90 = 40
so 40 boxes of paper clips will fit
Answer:
40 boxes
box = 24 x 15 x 10 = 3600 cm
A paper clip box = 6 x 3 x 5 = 90 cm
3600/90 = 40
so 40 boxes of paper clips
Can anybody tell me the answer to this question in the picture?
Answers
Answer:
Option 2
Step-by-step explanation:
Group 2 does have a greater median. And group 1 is less spread out
How many water do you need to mix with 200ml of shampoo? How many water should you mix with 500ml of shampoo? If the correct amount of water is mixed with 400ml of shampoo will the mixture fit in a 2500ml container?
Answers
Answer:
200 mL shampoo - 1050 ml water
500 mL shampoo - 2625 mL water
Step-by-step explanation:
1) 400 ml shampoo , should be mixed 2500 - 400 = 2100 mL of water.
2) 400 mL shampoo - 2100 mL water
200 mL shampoo - x mL water
x = 200*2100/400 = 1050 mL water
3) 400 mL shampoo - 2100 mL water
500 mL shampoo - x mL water
x = 500*2100/400 = 2625 mL water
Isaak is writing an explicit formula to represent the sequence.
64, 112, 196, 343,...
What value should he use as the common ratio in the formula? Write the answer as a decimal rounded to the nearest
hundredth.
O 0.75
1.75
58
279
Answers
Answer:
r = 1.75
Step-by-step explanation:
The common ratio r is found by dividing a term in the sequence by the previous term, that is
112 ÷ 64 = 1.75
196 ÷ 112 = 1.75
343 ÷ 196 = 1.75
The common ratio r = 1.75
Answer:
B
Step-by-step explanation:
Graph the equation by plotting three
points. If all three are correct, the line
will appear.
2y = 3x + 11
Answers
Answer:
y=3/2x+11/2
Step-by-step explanation:
divide the whole thing by 2
2y=3x+11 divided by 2 equals
y-3/2x+11/2
then just plug in the 3 points
What's the largest eight-digit base 2 integer? Express your answer in base 10.
Answers
Answer:
[tex]11111111_{2} =255_{10}[/tex]
Step-by-step explanation:
The largest eight-digit base 2 integer is 11111111.
[tex]\begin{array}{rcr}1\times 2^{7} & = & 128\\1\times 2^{6} & = & 64\\1\times 2^{5} & = & 32\\1\times 2^{4} & = & 16\\1\times 2^{3} & = & 8\\1\times 2^{2} & = & 4\\1\times 2^{1} & = & 2\\1\times 2^{0} & = & 1\\\mathbf{11111111_{2}} & = & \mathbf{255_{10}}\\\end{array}[/tex]
Answer:1111111
Step-by-step explanation:
The largest eight-digit base 2 integer is 11111111
Function gis transformed to obtain function has shown.
g(x + 2) - 5
Which statement describes how the graph of his different from the graph of g?
A
The graph of h is the graph of g shifted 5 units to the left and 2 units down.
B.
The graph of h is the graph of g shifted 5 units to the right and 2 units up.
The graph of h is the graph of g shifted 2 units to the left and 5 units down.
C.
D.
The graph of h is the graph of g shifted 2 units to the right and 5 units up.
Reset
Next
Answers
Answer:
dont get mad if I got it wrong but I think its C
The function ƒ(x) = 4x + 1 is transformed to g(x) = 2x + 1. What type of transformation has occurred? A) Reflection and Vertical Translation B) Rotation C) Reflection D) Rotation and Vertical Translation
Answers
Answer:
B) Rotation
Step-by-step explanation:
The only difference between functions f(x) and g(x) is the slope. To get from f(x)=4x+1 to g(x)=2x+1, you would need to rotate slightly clockwise about point (0,1) - the y-intercept. This would make the graph less steep (2x is less steep than 4x) while still retaining the (0,1) y intercept.
Answer:
rotation
Step-by-step explanation:
Determine the value of k. answers: A) 18° B) 180° C) 108° D) 97°
Answers
Answer:
C) 108°
Step-by-step explanation:
72°+k°=180° (straight line)
Subtract 72° from both sides
k°=108°
Our answer is C)108°.
Value of k = 108°
The correct option is C.
What is exterior angle?Exterior angles are angles that are parallel to the inner angles of a polygon but lie on the outside of it. The measure of an exterior angle is equal to the sum of the two internal opposite angles.
Given,
In a triangle,
Interior angles are
A = 72°,
B = 83° and
C = 25°
exterior angle A = k°
Exterior angle A = Interior angle B + Interior angle C
k = 83° + 25°
k = 108°
Hence, 108° is the value of k.
Learn more about exterior angle here:
brainly.com/question/28835566
#SPJ2
If 1/3 of a gallon of paint covers 1/9 of a gate, then how many gallons of paint are needed to cover the entire gate?
Answers
Answer:
3 gallons
Step-by-step explanation:
So just multiply by 9.
You get 3.
Answer:
3 gallons
Step-by-step explanation:
divide 1 / 3 by 1/9
=) 1/3 ÷ 1/9
=)1/3 × 9/1
=)9/3
=)3
therefour your answer is 3 gallons
I really need help on these 2 questions. Please!!!!
Answers
Suppose a rock in free fall is dropped off a cliff. After falling 5 seconds, its
speed will be 100 m/s.
A. True
B. False
Answers
Answer:
B
Step-by-step explanation:
You can use an equation from physics to help with this.
[tex]v_f=v_o+at[/tex]
Since the initial velocity is 0, you can set up the following equation:
[tex]v_f=0+(10)(5)\\\\v_f=50\neq 100[/tex]
Hope this helps!
I will give brainliest answer
Answers
Answer:
The answer would be 12.571428571 units or 12.57units.
which of the following sets of sides could NOT form a right triangle:
a 3 — 4 — 5
b 6 — 8 — 10
c 8 — 14 — 17
d 9 — 40 — 41
Answers
===================================================
Explanation:
Choice A is a non-answer because 3-4-5 does represent a right triangle. We can see so from the Pythagorean theorem
a^2+b^2 = c^2
3^2+4^2 = 5^2
9+16 = 25
25 = 25
We get a true equation, so (a,b,c) = (3,4,5) is a solution to a^2+b^2 = c^2
This confirms a 3-4-5 triangle is a right triangle.
------
The same steps can be used to show 6-8-10 is also a right triangle (note how each value has been doubled compared to 3-4-5). We can cross choice B off the list.
We can also see that choice D is a non-answer as well.
------
Choice C is the only thing left. The proper Pythagorean triple is actually 8-15-17.
Let's see what happens when a = 8, b = 14, c = 17
a^2+b^2 = c^2
8^2+14^2 = 17^2
64+196 = 289
260 = 289 .... false equation
We get a false equation, so a = 8, b = 14, c = 17 does not form a right triangle.
Plz Help!
Hank has cards that are 4 inches by 2 inches. A stack of these cards fits inside the box shown and uses up 8 cubic inches of volume.
L 4 in.
W 2 in.
H 2 in.
Part 1 out of 2
How tall is the stack of cards?
The stack is ___ inch(es) tall.
Answers
Javier constructed a square by drawing two congruent triangles. Which shows one of the triangles he could have used? A triangle with angles 45 degrees, 45 degrees, and 90 degrees. 2 sides are congruent. A triangle with angles 55 degrees, 35 degrees, and 90 degrees. A triangle with angles 65 degrees, 65 degrees, and blank. A triangle with 3 angles of 60 degrees. All sides are congruent.
Answers
Answer:
The answer is A triangle with 45 degrees, 45 degrees, and 90 degrees
Step-by-step explanation:
can we use a ruler to measure angles yes or no an why
Answers
Answer:
Step-by-step explanation:
No because rulers measure distance not angles. Rulers also do not have all the angles on them as they are not a protractor
How many solutions does the following system of equations have? y=5/2x+2 and 2y=5x+8
Answers
Answer:
No solutions.
Step-by-step explanation:
y = 5/2x + 2
2y = 5x + 8
Plug the first equation into the second.
2(5/2x + 2) = 5x +8
5x + 4 = 5x + 8
5x + 4 cannot equal 5x + 8, so this system of equations has no solutions.
Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels at 80 miles per hour. The westbound train
travels at 70 miles per hour. How long will it take for the two trains to be 360 miles apart?
Do not do any rounding.
Answers
Answer:
2.4 hours
Step-by-step explanation:
after an hour the distance between them will be 80+70=150 miles
1 hour .......150 m
x hours .......360 m
x*150=360
x=360/150
x=2.4 hours
Answer: 2.4 hours
Step-by-step explanation:
Distance = speed x time
1st train = 80t
2nd train = 70t
80t + 70t = 360
t = 360/150 = 2.4 hours
UGH HELP :(
Use the distributive property to write the expression without parentheses. Then simplify the result, if possible.
5(4x+3)
Answers
Answer:
5(4x+3)
5×4x + 5×3
20x+15
someone plz help i need it in like 3 minutes
Answers
Answer:
B
Step-by-step explanation:
A: -(3/-2)=-(-3/2)=3/2
B:3/-2=-3/2
C:-(-3/2)=3/2
D:-3/-2=3/2