HELP PLEASE!!! What is the vertex of the parabola generated by the function
f (x) = 2x^2 - 4x + 3 ?
Answers
Answer:
VERTEX: (1,1) Directrix: Y=0.88
Step-by-step explanation:
Answer:
vertex = (1, 1 )
Step-by-step explanation:
Given the equation of a parabola in standard form
f(x) = ax² + bx + c ( a ≠ 0 )
Then the x- coordinate of the vertex is
x = - [tex]\frac{b}{2a}[/tex]
f(x) = 2x² - 4x + 3 ← is in standard form
with a = 2 and b = - 4 , then
[tex]x_{vertex}[/tex] = - [tex]\frac{-4}{4}[/tex] = 1
Substitute x = 1 into f(x) for corresponding y- coordinate of vertex
f(1) = 2(1)² - 4(1) + 3 = 2 - 4 + 3 = 1
vertex = (1, 1 )
Related Questions
Marry can read 22 pgs in 30mins .How long wud it take her to read a 100 page book??write your answer in hours and minutes and round it to the nearest minute??
Answers
Step-by-step explanation:
This is a proportions problem:This is a proportions problem: This is a proportions problem: 22 pages → 30 minutesThis is a proportions problem: 22 pages → 30 minutes100 pages → x minutesThis is a proportions problem: 22 pages → 30 minutes100 pages → x minutes This is a proportions problem: 22 pages → 30 minutes100 pages → x minutes The proportion is This is a proportions problem: 22 pages → 30 minutes100 pages → x minutes The proportion is This is a proportions problem: 22 pages → 30 minutes100 pages → x minutes The proportion is 22/100 = 30/xThis is a proportions problem: 22 pages → 30 minutes100 pages → x minutes The proportion is 22/100 = 30/x This is a proportions problem: 22 pages → 30 minutes100 pages → x minutes The proportion is 22/100 = 30/x ThenThis is a proportions problem: 22 pages → 30 minutes100 pages → x minutes The proportion is 22/100 = 30/x Then This is a proportions problem: 22 pages → 30 minutes100 pages → x minutes The proportion is 22/100 = 30/x Then x = (100/22)(30) minutes = 136.4 minutes.What is the value of X?
Answers
Answer:
I think the answer for this question is 2.24cm
Consider the function represented by 9x + 3y = 12 with x as the independent variable. How can this function be
written using function notation?
O FID = - Šv
O f(x) = - 3x + 4
Of(x) = -x +
O fly) = -34+4
Answers
Answer:
f(x) = - 3x + 4
Step-by-step explanation:
Note that y = f(x)
Rearrange making y the subject
9x + 3y = 12 ( subtract 9x from both sides )
3y = - 9x + 12 ( divide all terms by 3 )
y = - 3x + 4 , that is
f(x) = - 3x + 4
Tom ate 3/8 of a pizza, and his brother ate 2/5 of the remainder. What fraction of the pizza was left?
Answers
Answer:
3/8 is left
Step-by-step explanation:
Tom ate 3/8 of the pizza
Take 1 - 3/8
8/8 - 3/8 = 5/8
5/8 of the pizza is left
The brother at 2/5 of the remainder
5/8 * 2/5
2/8
1/4
His brother at 1/4 of the of the pizza
5/8 - 1/4
5/8 - 2/8
3/8 is left
i need help with this question please :(
Answers
Answer:
C
Step-by-step explanation:
[tex](2^7 \cdot 3^{-5}\cdot 9)^4[/tex]
Use the Power of a Product Property, where:
[tex](ab)^n=a^nb^n[/tex]
Therefore:
[tex](2^7 \cdot 3^{-5}\cdot 9)^4\\=(2^7)^4\cdot(3^{-5})^4\cdot(9)^4\\=2^{28}\cdot3^{-20}\cdot9^4[/tex]
Which of the following characteristics best describes the given function of f(x) = -2 ?
A) quadratic function
B) linear function, always increasing
C) linear, constant function
D) linear function, always decreasing
Answers
Answer:
C
Step-by-step explanation:
it is a constant function
3 Question
Select the correct answer.
What is the value of this expression when a = 2 and b = -3?
a3 - 63
5
Hola
O
O
3
Answers
Answer:
The qs is not clear.
Simply put values of a and b and you will get the ans.
Step-by-step explanation:
2. Find the measure of eº.
Answers
D is a vertical angle to the given 159 degrees.
E + D need to equal 180 degrees.
E = 180 - D
E = 180 - 159
E = 21 degrees
Answer: 21 degrees.
Answer: e = 21°
Step-by-step explanation:
Angle d will be 159° because alternate exterior angles are equal.
Now angle e + angle d = 180 because they form linear pair
e + d = 180
e + 159 = 180
e = 180-159
e = 21
please click thanks and mark brainliest if you like :)
Ocean sunfishes are well-known for rapidly gaining a lot of weight on a diet based on jellyfish. The relationship between the elapsed time, ttt, in days, since an ocean sunfish is born, and its mass, M_{\text{day}}(t)M day (t)M, start subscript, start text, d, a, y, end text, end subscript, left parenthesis, t, right parenthesis, in milligrams, is modeled by the following function: Mday(t)=3.5⋅(1.05)t Complete the following sentence about the weekly rate of change in the mass of the sunfish. Round your answer to two decimal places. Every week, the mass of the sunfish increases by a factor of .
Answers
Answer:
1.4071
Step-by-step explanation:
The relationship between the elapsed time, t in days, since an ocean sunfish is born, and its mass is given by:
[tex]M_{day}(t)=3.5(1.05)^t[/tex]
This function represents an exponential growth increasing as the number of days increases since (3.5 > 1), it means that at day 0 , the mass of the sunfish is 3.5 milligrams and every day, its mass increases by a factor of 1.05.
Since the mass of the sunfish increases by [tex]1.05^t[/tex], therefore the mass of the sunfish increases every one week (that is 7 days) by a factor of [tex]1.05^{7} = 1.4071[/tex]
The solutions to \[2x^2 - 10x + 13 = 0\]are $a+bi$ and $a-bi,$ where $a$ and $b$ are positive. What is $a\cdot b?$[tex]The solutions to\[2x^2 - 10x + 13 = 0\]are $a+bi$ and $a-bi,$ where $a$ and $b$ are positive. What is $a\cdot b?$[/tex]
Answers
In decimal form, this is equivalent to 1.25
=============================================
Work Shown:
The given equation 2x^2-10x+13 = 0 matches the form ax^2+bx+c = 0
We see that a = 2, b = -10, c = 13. Plug those values into the quadratic formula to solve for x.
[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(-10)\pm\sqrt{(-10)^2-4(2)(13)}}{2(2)}\\\\x = \frac{10\pm\sqrt{-4}}{4}\\\\x = \frac{10\pm2i}{4}\\\\x = \frac{2(5\pm i)}{2*2}\\\\x = \frac{5\pm i}{2}\\\\x = \frac{5}{2} \pm \frac{1}{2}i\\\\x = \frac{5}{2} + \frac{1}{2}i \ \text{ or } \ x = \frac{5}{2} - \frac{1}{2}i\\\\[/tex]
The two solutions are in the form [tex]a \pm bi[/tex] where a = 5/2 and b = 1/2
Therefore a*b = (5/2)*(1/2) = 5/4 = 1.25
find the co efficient of m in the expression of ( m/2-3/2) ( m+2/3)
Answers
Answer:
Step-by-step explanation:
We will get m when we multiply (m/2)*(2/3) & m *(-3/2)
[tex]\frac{m}{2}*\frac{2}{3}+m*\frac{-3}{2}=\frac{m}{3}-\frac{3m}{2}\\\\\\=m(\frac{1}{3}-\frac{3}{2})\\\\\\=m(\frac{2}{6}-\frac{9}{6})\\\\\\=\frac{-7}{6}m[/tex]
Coefficient of m = -7/6
(2a-b)2-(a-2b)2 factorial
Answers
Hello, we know that for a and b real numbers
[tex]a^2-b^2=(a-b)(a+b)[/tex]
So,
[tex](2a-b)^2-(a-2b)^2=(2a-b-a+2b)(2a-b+a-2b)\\\\=(a+b)(3a-3b)\\\\\boxed{=3(a+b)(a-b)}[/tex]
Thank you.
If x is 2/3 of y and y is 3/4 of z, what is the ratio of:x? *
a) 1:2
b) 1:1
c) 2:1
d) 3:2
e) 4:3
Answers
Answer:
Answer is option C
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
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Answers
What is the area of the trapezoid shown below?
Answers
Answer:
[tex]\Large \boxed{\mathrm{78 \ units^2 }}[/tex]
Step-by-step explanation:
The area of the trapezoid can be found by adding the area of the triangle and the area of the rectangle.
Area of rectangle = base × height = 2 × 12 = 24 units²
Area of triangle = base × height × 1/2
The base is missing for the triangle. Apply Pythagorean theorem to solve for the base.
12² + b² = 15²
b = 9
9 × 12 × 1/2 = 54 units²
Adding the areas.
54 units² + 24 units² = 78 units²
Answer:
its 78 units on khan academy :)))
Step-by-step explanation:
I have 4 different single digit numbers.
The last digit is half the third digit and one-fourth (one quarter) the second digit.
The first digit is the second odd whole number.
What are my numbers and their order?
Answers
Answer:
Step-by-step explanation:
The third digit can be 8 6 4 2 or 0
The last digit can be 4 3 2 1 or 0
The second digit 8 4 0 which makes the last digit 2 1 0
The first digit is 3
The choices are
The first digit is 3. That's all you can be sure of. Lets assume zero is not a choice.
3 8 4 2
3 4 2 1
Which recrusive formula can be used to generate the sequence shown, where f(1)=5 and n>=1 5,-1,-7,-13,-19
Answers
Answer:
a_n = 11 - 6n
Step-by-step explanation:
you can observe every next element is smaller then the previous one by 6
a_n = 5 - 6*(n-1)
a_n = 5 - 6n + 6
a_n = 11 - 6n
The first term of a sequence is 1 and every term after the first one is 1 more than the square of the preceding term. What is the fifth term?
Answers
Answer:
677
Step-by-step explanation:
the sequence is 1, 2, 5, 26, 677
the first term is 1
to find the 2nd term, do: [tex]1^{2} +1=2[/tex]
3rd: [tex]2^{2} +1=4+1=5[/tex]
4th: [tex]5^{2} +1 =25 +1=26[/tex]
5th: [tex]26^{2} +1=676+1=677[/tex]
I need help with this question badly
Answers
Step-by-step explanation:
[tex] {9}^{ - 53} . {9}^{37} [/tex]
To solve this question we use the rules of indices
Since the bases are the same and are multiplying we add the exponents using the formula
[tex] {a}^{b} \times {a}^{c} = {a}^{b + c} [/tex]So for the above question we have
[tex] {9}^{ - 53} \times {9}^{37} = {9}^{ - 53 + 37} [/tex]We have the final answer as
[tex] {9}^{ - 16} [/tex]Which is the same as
[tex] \frac{1}{ {9}^{16} } [/tex]Hope this helps you
evaluate x³ for x=2.
Answers
Answer:
8
Step-by-step explanation:
If we have anything to the third power, we are multiplying the number by itself 3 times.
If x = 2, then the expression is [tex]2^3[/tex].
[tex]2\cdot2\cdot2=8[/tex]
Hope this helped!
Answer:
8
Step-by-step explanation:
Exponents is repeated multiplication, so what we are doing in this problem is that we are multiplying 2 by itself 3 times.
2 * 2 = 4
4 * 2 = 8
Can someone help me on this math question its confusing ill give brainly when right!!!
Answers
Answer:
-0.5 > -7/11
Step-by-step explanation:
-7/11 = -0.636
-0.5>0.6
Given: -1/2x > 6. Choose the solution set. A {x | x R, x > -12} B{x | x R, x > -3} C{x | x R, x < -3}D {x | x R, x < -12}
Answers
Answer:
D
Step-by-step explanation:
-1/2x > 6 (you have to flip the sign when you multiply or divide by negative
x < -12
Simplify each expression. 1-4b+3b+11
Answers
Answer:
1-4b + 3b+11
1-11+4b+3b
-10+6b
-16
Find the volume of the prism. (Image down below)
Answers
Answer:
Option (A)
Step-by-step explanation:
In the figure attached,
A prism has been given with two triangular bases.
If we put this prism with one of the triangular face as the base of the prism, height of the prism will be 6 in.
Volume of a prism is calculated with the formula,
Volume = (Area of the triangular base) × Height
Area of the triangular base = [tex]\frac{1}{2}(\text{Base})(\text{Height of the triangular base})[/tex]
= [tex]\frac{1}{2}(3)(5)[/tex]
= 7.5 in²
Volume of the prism = 7.5 × 6
= 45 in³
Therefore, Option (A) will be the answer.
Change y = – 2/3 x + 7 into standard form
Answers
Answer:
2x + 3y = 42
Step-by-step explanation:
Standard form should be like:
=> ax + by = c
To make an equation like the above one, we need to do the point-slope form first.
=> y - y1 = slope (x - x1)
Slope = -2/3
Y-intercept -> to find the y-intercept, we need to make the 'x' as 0.
=> y = -2/3 * 0 + 7
=> y = 7
X-intercept -> to find the x-intercept, we need to make 'y' as 0.
=> 0 = -2/3x + 7
=> -7 = -2/3x
=> -21/2 = -x
=> -10.5 = -x
=> 10.5 = x
So, x and y intercepts are 10.5 and 7.
We can now write the point-slope form:
=> y - 7 = -2/3 (x - 10.5)
=> y - 7 = -2/3x + 21/3
=> y = -2/3x + 7 + 7
=> y = -2/3x + 14
=> 2/3x + y = 14
=> Multiply all numbers by 3
=> 2x + 3y = 42
Evaluate the problem
Answers
Answer:
.6
Step-by-step explanation:
First find < ABC
Since this is a right triangle, we can use trig functions
tan < ABC = opp / adj
tan < ABC = 2/4
Take the inverse tan of each side
tan ^-1 tan < ABC = tan ^-1 2/4
< ABC = 26.56505118
Multiply by 2
53.13010235
Take the cos
cos (53.13010235)
.6
The heights of two similar parallelograms are 16 inches and 20 inches. Their
respective areas are (3x+5) square inches and 9x square inches. Find the value of
X?
Answers
Answer: [tex]x=\dfrac{25}{21}[/tex]
Step-by-step explanation:
Area of parallelogram = Base x height
If two parallelograms are similar, then their corresponding sides are proportional.
That means, [tex]\dfrac{\text{Area of first parallleogram}}{\text{Area of second parallleogram}}=\dfrac{\text{height of first parallelogram}}{\text{height of second parallelogram}}[/tex]
[tex]\Rightarrow \dfrac{3x+5}{9x}=\dfrac{16}{20}\Rightarrow \dfrac{3x+5}{9x}=\dfrac{4}{5}\\\\\Rightarrow 5(3x+5)=4(9x)\\\\\Rightarrow\ 15x+25 = 36x\\\\\Rightarrow\ 36x-15x=25\\\\\Rightarrow\ 21x = 25\\\\\Rightarrow\ x=\dfrac{25}{21}[/tex]
Hence, [tex]x=\dfrac{25}{21}[/tex]
Use the first four terms of the binomial theorem to approximate 2.2^7
A. 248.96
B. 248.4688
C. 23.424
D. 249.4357888
please explain the steps to how you got your answer thank you!!
Answers
Answer:
248.96.
Step-by-step explanation:
We write it as:
(2 + 0.2)^7 = 2^7 + 7*2^6*0.2 + 7C2*2^5*(0.2)^2 + 7C3*2^4(*(0.2)^3
= 128 + 89.6 + 26.88 + 4.48
= 248.96.
A radio-active atom has a half-life of a day. This means that it decays by 1/2 each day. Write an equation for this expinential function if you start with 64 grams
Answers
Answer:
y = 64(0.5)ˣ
Step-by-step explanation:
We can write this as an exponential decay function. The formula for that is y = a(1 - b)ˣ where a is the initial value and b is the decay factor. In this case, a = 64 and b = 1/2 or 0.5 so the final answer is y = 64(0.5)ˣ.
a ladder 7.5m long is leaning against a wall if the foot of the ladder is 3m from the wall how far up the wall does the ladder reach to reach the nearest metres
Answers
Answer:
7 m
Step-by-step explanation:
Use the pythagorean theorem.
a^2+b^2=c^2
7.5 is your hypotenuse and 3 is one of your legs.
7.5^2 - 3^2 = 47.25
the sqrt of 47.25 is 6.873863542, therefore the nearest meter it reaches is 7.