Answers
Answer:
(A) y = (x - 2)^2 + 1
Step-by-step explanation:
All the answer choices are in vertex form. Here's the formula for vertex form:
y = a(x - h)^2 + k
h = x coordinate of vertex
k = y coordinate of vertex
We already know that a = 1 because all of the answer choices have a = 1, so to find the right answer, you have to know how to write vertex form when given the vertex.
The vertex is (2, 1). The x coordiante (2) is equal to h, and the y coordinate (1) is equal to k.
Plug these two numbers into the formula and that's your answer!
y = (x - 2)^2 + 1
Hope it helps (●'◡'●)
Related Questions
What are the solutions of x2 - 2x +5 = 0
Answers
Answer:
x = -3 or x = -5
Step-by-step explanation:
x (x -2 ) = -5
x = -5 or x = -5+2
x = -3
A medical school admissions officer was interested in whether there is a difference in MCAT test scores (the standardized test used for medical school admission) between (1) biological sciences majors, (2) social science majors and (3) math majors. The admissions officer randomly sampled 50 students from each of these majors who applied to medical school in 2014 and recorded their MCAT score. Here are the three sample standard deviations for the MCAT scores for the three groups (biological sciences majors, social sciences majors, math majors): Column Std. Head Biological Sciences 5.3115216 Social Sciences 6.1661669 Math 4.7821787 Based on this information, do the data meet the condition of equal population standard deviations for the use of the ANOVA? Yes, because 6.17 − 4.78 < 2. Yes, because 6.17/4.78 < 2. No, because the standard deviations are not equal.
Answers
Answer:
Yes, because 6.17/4.78 < 2
Step-by-step explanation:
To test for equal standard deviation ;
Condition is met if the ratio of the large sample standard deviation to the smaer sample standard deviation is less than 2
Sample standard deviation;
Sciences 6.1661669
Math 4.7821787
Biological Sciences 5.3115216
The largest sample standard deviation = 6.1661669
The smallest sample standard deviation = 4.7821787
F statistic = 6.1661669 / 4.7821787 = 1.2894053
F statistic < 2 ; Hence, condition for equal standard deviation is met.
What is the midpoint of a line segment connecting the points (−4,6) and (8,2) Need answer fast
Answers
Answer:
-12 & -18
Step-by-step explanation:
Answer:
Step-by-step explanation:
4x^2-12x+9.
4x^2+4x+1.,
1+12x+36^2
Answers
Answer:
Step-by-step explanation:
solve the equation 2x+1=x-3
Answers
How to solve your problem
Topics: Algebra, Quadratic Equation
2
+
1
=
−
3
2x+1=x-3
2x+1=x−3
Solve
1
Subtract
1
1
1
from both sides of the equation
2
+
1
=
−
3
2x+1=x-3
2x+1=x−3
2
+
1
−
1
=
−
3
−
1
2x+1{\color{#c92786}{-1}}=x-3{\color{#c92786}{-1}}
2x+1−1=x−3−1
2
Simplify
Subtract the numbers
Subtract the numbers
2
=
−
4
2x=x-4
2x=x−4
3
Subtract
x
x
from both sides of the equation
2
=
−
4
2x=x-4
2x=x−4
2
−
=
−
4
−
2x{\color{#c92786}{-x}}=x-4{\color{#c92786}{-x}}
2x−x=x−4−x
4
Simplify
Combine like terms
Multiply by 1
Combine like terms
=
−
4
x=-4
x=−4
Solution
=
−
4
If x^a=y^b=z^c and y^2=zx ,show that :. 1 by a + 1 by c = 2 by b.
Answers
Answer:
1/a + 1/c = 2/b
Step-by-step explanation:
.......................
An angle measures 89.8° more than the measure of its complementary angle. What is the measure of each angle?
Answers
Complementary angles always are 90 degrees when added to each other, so:
x = angle 1
x + 89.8 = angle 2
x + x + 89.8 = 90
2x = 90 - 89.8
2x = 0.2
x = 0.1
angle 1 = 0.1 degrees
angle 2 = 0.1 + 89.8 = 89.9 degrees
if you want to check, just sum one to the other and see if they equal 90, like this: 89.9 + 0.1 = 90
In triangle ABC, AC=13, BC=84, and AB=85. Find the measure of angle C
Answers
Answer:
the answer is the number 6
point O is at a distance named K from the line D. What should be the value of K if we want to find three points that their distance from line D is 4cm and from point O is 6cm?
1)4
2)8
3)2
4)3
and please tell me how to solve this, I'll mark you the brainliest
Answers
Answer:
the answer is number 3)2
Step-by-step explanation:
subtract the both
Find the error in the student's work. Which of the following steps is where the first error occurred?
f(x) = -3x^2 - 2x
Step 1: f(-2) = -3(2)^2 - 2(-2)
Step 2: f(-2) = -3(4) + 4
Step 3: f(-2) = -12 + 4
Step 4: f(-2) = -8
Step 3 should be 12 + 4.
Step 2 should be -3(-4).
O Step 1 should have a -2 substituted for both values.
Answers
Answer:
Step 1 should have a -2 substituted for both values.
Given f(x) = 3x + 2 and g(x) = 2x - 1, find (g(x))2.
1- 2x2 - 4x + 1
2- 6x²+x-2
3- 4x2 - 4x + 1
4- 9x2 + 12x + 4
Helpppp plzzz
Answers
Answer:
C (if the sign after the digit 1,2,3,4 is not minus !!!)
Step-by-step explanation:
[tex]f(x)=3x+2\\\\g(x)=2x-1\\\\\\g^2(x)=(gog)(x)=g(g(x)=g(2x-1)=2(2x-1)-1=4x-2-1=4x-3\\\\\\if \ you\ means \ g(x)*g(x)\ then\\\\(g(x))^2=(2x-1)^2=4x^2-4x+1:\ answer \ C[/tex]
Help me solve this thanks to who ever will I really appreciate it
Answers
Answer:
135
Step-by-step explanation:
The equation is 135+90+x=360. x=360-(225)=135
A
B
C
D
PICK ONE
Correct answer will get you brainiest
Answers
Answer:
¾
Explanation:
A number is said to be rational if it can be expressed in the form p/q, where q is not 0.
In the given options, only ¾ fulfills this criteria.
Answer:
it's answer is c.......
Name the number system in which only the whole number less than 5 are used
Stay Safe, Stay Happy and stay healthy
Answers
Step-by-step explanation:
Whole numbers less than 5 may be termed as Rational numbers.
Given that x : 3 : 9/2 = 15/4 : 4 1/2 : y, find the value of x and y.
Answers
Answer:
x = [tex]\frac{5}{2}[/tex] , y = [tex]\frac{27}{4}[/tex]
Step-by-step explanation:
Equate the first 2 parts of the ratios on both sides of the equation and solve for x.
Expressing the ratios in fractional form, then
[tex]\frac{x}{3}[/tex] = [tex]\frac{\frac{15}{4} }{\frac{9}{2} }[/tex] = [tex]\frac{15}{4}[/tex] × [tex]\frac{2}{9}[/tex] = [tex]\frac{5}{6}[/tex] ( cross- multiply )
6x = 15 ( divide both sides by 6 )
x = [tex]\frac{15}{6}[/tex] = [tex]\frac{5}{2}[/tex]
-----------------------------------------------------------------------------------
Equate the last 2 parts of the ratios on both sides and solve for y
[tex]\frac{\frac{9}{2} }{y}[/tex] = [tex]\frac{3}{\frac{9}{2} }[/tex] = 3 × [tex]\frac{2}{9}[/tex] = [tex]\frac{2}{3}[/tex] ( cross- multiply )
2y = [tex]\frac{9}{2}[/tex] × 3 = [tex]\frac{27}{2}[/tex] ( divide both sides by 2 )
y = [tex]\frac{27}{4}[/tex]
What is the Answer to: 120 Times 2/3
Answers
Answer:
80
Step-by-step explanation:
You could multiply by 2 and then divide by 3
120*2 = 240
240/3 = 80
Or you could divide by 3 and then multiply by 2
120/3 = 40
40*2 = 80
Answer:
80Step-by-step explanation:
120 × 2/3= 120/1 × 2/3= 240/3= 80[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
help me please!! first write the subtraction with a common denominator then subtract
Answers
Answer:
hope it helps you
Step-by-step explanation:
pls kindly mark it brainliest answer
Answer:
[tex]\frac{3}{5} - \frac{1}{3} = \frac{9}{15} - \frac{5}{15} = \frac4{15}[/tex]
Step-by-step explanation:
3/5 - 1/3
Multiply 3/5 by 3/3 to keep the fraction equivalent and have a common denominator
3/5 times 3/3 = 9/15
Multiply 1/3 by 5/5 to keep the fraction equivalent and have a common denominator
1/3 times 5/5 = 5/15
9 / 15 - 5 / 15 = 4/15
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
____×____=126
Fill the blank pls I need it fast
Answers
Answer:
Answer for this is 62 * 2 = 126
Step-by-step explanation:
Answer:
14×9=126
Step-by-step explanation:
how do you explain it lol
PLS HELP ME I WILL MARK YOU AS BRAINLIEST!!!
Answers
Answer:
volume = length x width x height
v=11x5x11 = 605
hope that answers your question
Krista invested money in the stock of a foreign company. Lately, the government of the country where the company is based introduced new tax laws and fiscal policies. What type of risk does Krista face as an investor?
Answers
Answer: legislative risk
Step-by-step explanation:
Legislative risk refers to a form of risk whereby there's likelihood of a business making a loss on an investment due to governmental action.
Legislative risk implies an amendment or an abolition of laws which has a direct impact on investments. Regarding the question, the introduction of the new tax laws and fiscal policies is a legislative risk.
Answer:
c
Step-by-step explanation:
Describe the solution to the inequality. r < –3
Answers
Answer:
98
Step-by-step explanation:
I need help ASAP!!Please be sure that you know the answer
Answers
Answer:area is 60, height is 4, and perimeter is 34
Step-by-step explanation:
Please help explanation if possible
Answers
Answer:
y = 4x-31
Step-by-step explanation:
parallel lines, slope is the same.
two ways to solve it,
y=4x+c
sub y = -11. x =5
-11 = 4(5) + c
c = -31
OR
y-(-11) = 4(x-5)
y+11=4x-20
y=4x-20-11
y=4x-31
Answer:
The equation is y = 4x - 31
Step-by-step explanation:
y - y1 = m (x - x1)
y - (-11) = 4 (x - 5)
y + 11 = 4x - 20
y = 4x - 20 -11
y = 4x - 31
The perimeter of a rectangle is 40 inches. If the width is 9 inches, what is the area of the rectangle?
Answers
Answer:
99 in²
Step-by-step explanation:
Perimeter = 2(length) + 2(width)
40 = 2(length) + 2(9)
40 = 2L + 18
40 - 18 = 2l
22 = 2l
L = 11
Area = length x width
Area = 9 x 11 = 99
99 square inches
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer: 360
Step-by-step explanation:
you multiply 40 and 9.
first you multiply 9 and 0 that is 0 then 9 to 4 and that is 36 so you get 360
Prove the given statement below. Please
Answers
Answer:
Step-by-step explanation:
You need to know all the angle properties. Hope this helps
Answered by G a u t h m a t h
vHelena has five different flowers. She plans to give one flower to each of her five teachers in any order. She gives the first flower to one of her teachers in the morning.
In how many different ways can she give the four remaining flowers to the rest of the teachers in the afternoon?
1 combination
4 combinations
21 combinations
24 combinations
Answers
24
i'm pretty sure of this, if those are the four possible answers.
Graph the function need ASAP help
Is it a, b , c or d?
Answers
Answer:
D
Step-by-step explanation:
(the line is a / shape, so the slope is positive)
(the line crosses the y axis at (0,-2)
(using the above information, the equation is y=2x-2)
Answer:
y = 2x - 2
Step-by-step explanation:
Start with
y = mx + b
The graph shows the y-intercept -2.
We have y = mx - 2
slope = m = rise/run
The slope is rise of 2 and run of 1, so m = 2.
y = 2x - 2
please answer this!!!
Answers
Answer:
[tex]BC=40[/tex]
Step-by-step explanation:
Since AC is a tangent and PB is the raduis
[tex]\angle PBC= 9[/tex]
By pythagoras
[tex]PC^{2} =PB^{2} +BC^{2}[/tex]
[tex]41^{2} =9^{2} +BC^{2}[/tex]
[tex]1681-81=BC^{2}[/tex]
[tex]1600=BC^{2}[/tex]
[tex]BC=\sqrt{1600}[/tex]
[tex]BC=40[/tex]
OAmalOHopeO
Answer:
40
Step-by-step explanation:
A tangent to a circle is perpendicular to the radius intersection by definition. That makes BPC a right triangle at B. BP and PD are both equal (9) because every radius of a circle is equal. So
PC**2 = BP**2 + BC**2 or
41**2 = 9**2 + BC**2
1681 = 81 + BC**2
1681 - 81 = BC**2
1600 = BC**2
40 = BC
I forgot everything I learned
Answers
Answer:
What do you need help with
Step-by-step explanation:
Do you need help with a specific question? Or with the whole assignment?
SEE QUESTION IN IMAGE
Answers
Answer:
48Probability of dying on the birthday is:
1/365Probability of not dying on the birthday is:
1 - 1/365 = 364/36549Probability of blue-eyed boy is:
1/2*1/4 = 1/850Total frequencies = 10
Frequency of 7 and greater is 4: 7, 8, 9, 10
Required probability:
4/10 = 2/5