Step-by-step explanation:
TO find the vertex, you need to find the x− and y− coordinates.
The formula for the axis of symmetry and the x-coordinate of the vertex is:
x = -b over 2a
To find the y-coordinate the vertex, substitute the value for x into the equation and solve for y
y=a(-b over 2a) squared + b(-b over 2a) + c
Equations in the Form y = ax^2
Guided Practice
Consider these equations.
y=2x^2
y=12x^2
y=−3x^2
How does each differ from the simple quadratic equation y = x^2?
In each of these new equations, x^2 has a coefficient. They are all examples of the equation y = ax^2.
Let’s look at how the coefficient 2 affects the graph of the function y = 2x^2.
Type your answer and then click or tap Done.
First, find the values of 2x^2 by completing this chart. The first is done for you.
x x^2 2x^2
−2 4 8
−1 1 Fill in the blank text field 1
Answer:
2
Step-by-step explanation:
It's 2 because 4^2 is 8 and 1^2 is 2 so that's how I got my answer
Factorise this expression as fully as possible 12x - 9x?
Answer:
4x
Step-by-step explanation:
12x-9x
=4x
I hope my answer is correct
and if u like mark me as brainliest answer.
Answer:
12x - 9x
= 3x ( 4- 3)
= 3x ( 1)
= 3x
solve pls brainliest
Which represents the solution set of the inequality 5x-9<_21?
O<_12/5
O>_12/5
O x>_6
O x<_6
Answer:
[tex]x\leq 6[/tex]
Step-by-step explanation:
[tex]5x-9\leq 21\\\\5x-9+9\leq 21+9\\\\5x\leq 30\\\\\frac{5x}{5}\leq \frac{30}{5}\\\\x\leq 6[/tex]
A shirt is 20% off the sticker price of $34. How much is the discount?
Answer:
Step-by-step explanation:
you would pay is 34 - 6.8 = 27.2 dollars. hope it helps bye :)
Factor completely by finding the greatest common factor:
12xy^4 − 21x^2y^5z + 36xy^3
Answer:
the common factor is 3xy³
therefore by factoring we get;
3xy³(4y-7xy²z+12)
The miller’s are comparing babysitting services for their two children. the babysitters block charges a rate of $15 an hour per child plus an initial fee of $25 per household. super sitters charges a flat rate of $20 an hour per child. for …. hours of service both babysitting services would cost the same
Answer:
2.5 hours
Step-by-step explanation:
BB = 25 + (15x)2
SS = (20x)2
25 + 30x = 40x
10x = 25
x = 2.5
Answer:
5 hours
Step-by-step explanation:
15 times 5 is 75 plus 25 is 100
20 times 5 is also 100
Write down the output y in terms of x
Input=x +2 x7 Output =y
Answer:
The answer is 14x
Step-by-step explanation:
2×7=14
x×14=14x
(−4/3)⋅(−1/3)⋅1.2 answer plz
Answer:
= .533
Step-by-step explanation:
(−4/3)•(−1/3)= .44
.44•1.2=.533
An advertisement for a box of crackers says that the new box has 20% more crackers than the original box. If the weight of the original box was 12 ounces, what is the weight of the new box of crackers?
Based on the weight of the old box of crackers, we can infer that the weight of the new box is 14.4 ounces.
The old box weighed 12 ounces and the new box has 20% more than the old box had.
The new box should therefore weigh 20% more than the old box which means that it weighs:
= Weight of old box x ( 1 + increase in new box)
= 12 x (1 + 20%)
= 14.4 ounces
In conclusion, the new box weighs 14.4 ounces.
Find out more at https://brainly.com/question/2051201.
The angles in a triangle are in the ratio 3:2:1.
a) Show that the triangle is a right-angled triangle
b) The hypotenuse of the triangle is 25 cm long.
Calculate the length of the shortest side in the triangle
Answer:
see explanation
Step-by-step explanation:
(a)
sum the parts of the ratio, 3 + 2 + 1 = 6 parts
The sum of the 3 angles in a triangle = 180° , then
180° ÷ 6 = 30° ← value of 1 part of the ratio , then
3 parts = 3 × 30° = 90°
2 parts = 2 × 30° = 60°
1 part = 30°
The angles in the triangle are 90°, 60°, 30°
Thus the triangle is right angled
(b)
The shortest side is opposite the smallest angle, that is opposite 30°
Using the sine ratio in the right triangle and the exact value
sin30° = [tex]\frac{1}{2}[/tex]
sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{opposite}{25}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )
2 × opposite = 25 ( divide both sides by 2 )
opposite = 12.5
That is shortest side is 12.5 cm
Jacob was out at a restaurant for dinner when the bill came. His dinner came to $18. After adding in a tip, before tax, he paid $20.70. Find the percent tip.
Answer:
2.70$
Step-by-step explanation:
What is the inverse of the function f(x) =√x-2
What is the scale factor from 125% to 100%?
Answer: 4:5
Step-by-step explanation:
Answer:
4:5
Step-by-step explanation:
A mixture of green paint contains 9 pounds of blue paint and 12 pounds of yellow paint to make the same shade of green paint using 21 pounds of blue paint how much yellow paint would you need
8. The temperature on Monday was -5.4 degrees
Celsius. The temperature on Tuesday was 2.6
degrees less than the temperature on Monday.
What was the temperature on Tuesday?
Answer: -4.1 degrees celsius
Step-by-step explanation:
Start at -1.5 on the number line. Then move 2.6 units to the left to arrive at -4.1
Or you can compute -1.5 - 2.6 = -4.1 to get the same result. When we subtract a number from a negative, you are effectively adding the two values and making the final result negative. So, 1.5+2.6 = 4.1 which turns into -4.1
Write an equation in standard form for a line that is (a) parallel (b) perpendicular to the line with an equation of 5 3 − = x y that passes through the point (8, 5).
Answer:
e
Step-by-step explanation:
How many solutions does this equation have? -3s + 10 = 7s
1
Step-by-step explanation:
What is the correct equation to solve for X?
Which of the following properties of equalities can’t be used when solving 3x+6=10-x
Answer:
Step-by-step explanation:
C
Answer:
c) multiplication
Step-by-step explanation:
How many arrangements can be made from the letters in the word PICCOLO
Answer:
1260Step-by-step explanation:
This is a permutation of 7 letters with double O and double C:
7!/2!2! = 5040/4 = 1260P = 1
I = 1
C = 2
O = 2
L = 1
--------
Total (n) = 7(k) = 2(C), 2(O)p = N! ÷ k!
p = 7! ÷ 2!2!
p = 5,040 ÷ 4
P = 1,260
se quiere construir una casa en 10 dias 10 obreros trabajando 10 horas si se incrementa 2 obreros pero se disminuye 2 horas ¿en cuantos dias se acabaria la casa?
Find the difference or type
"impossible”
[1 -2 1] - [4 -5 -6]
Answer:
-3,3,7 for Acellus
that's it
what is the volume of the prism ?
Answer:
Your answer is 150 units!
Does the following relationship represent a function?
A. Yes
B. No
Find the value of f.
Answer:
f =18
Step-by-step explanation:
The sum of the angles of a triangles is 180
3f+6f+f = 180
10f = 180
Divide by 10
10f/10=180/10
f = 18
Nina gets paid $200 a week plus an extra $5 per handbag
she sells. Write an equation for this problem, and identify
the slope and y-intercept
Answer:
y=5x+200
Step-by-step explanation:
x=number of handbags
y-intercept=200
slope=5
please give me brainly since I'm trying to level up!
6) Convert 2pie/3 to degrees
A) 30°
B) 60°
120°
D) 240°
This is a list of ingredients for making a cake for 8 people.
Ingredients for 8 people
200 g flour
190 ml cream
60ml milk
4 eggs
Work out the amount of each ingredient needed to make a cake for 4 people
Answer:
100g flour
95ml cream
30ml milk
2eggs
Step-by-step explanation:
You just half them all
Find the average rate of change of k(x) = 3x between x = 4 and x = 4 + h, where h 0.
Simplify your answer. Your answer may be a number or an expression in terms of h.
Answer:
Step-by-step explanation:
8
The average rate of change of the function on [0,4] is 8.