Answer:
[tex]\displaystyle f(x) = -(x-4)^2 + 6[/tex]
Step-by-step explanation:
A given quadratic has its vertex at (4, 6) and the point (1, -3). We want to write the equation in vertex form of the quadratic.
Recall that vertex form is given by:
[tex]\displaystyle f(x) = a(x-h) ^2 + k[/tex]
Where (h, k) is the vertex and a is the leading coefficient.
Since our vertex is at (4, 6), h = 4 and k = 6:
[tex]\displaystyle f(x) = a(x - 4)^2 + 6[/tex]
To determine the leading coefficient, since we are given that (1, -3) is a point on the parabola, when x = 1, y = -3. Substitute and solve for a:
[tex]\displaystyle \begin{aligned} (-3) & = a((1)-4)^2 + 6 \\ \\ -3 & = a(-3)^2 + 6 \\ \\ 9a & = -9 \\ \\ a & = -1 \end{aligned}[/tex]
Hence, the leading coefficient a is -1.
Then our equation in vertex form is:
[tex]\displaystyle f(x) = -(x-4)^2 + 6[/tex]
Which three cards have an equal value
Answer:
the bottom 3 the bottom left one equals 1.33 altogether and if you count the second one it's also 1.33 or 133 blocks coloured and the last one is also 1.33
choosw thw graph that represents the following function :
y=2+4
graph a linear equation with a function table
please help me i will mark as brainlyst
Answer:
do you mean y=2+4x?
if it is, it would be the top one.
helpp pls no random or wrong answers!
Answer:
a) 2/5, b) 2.5Step-by-step explanation:
a)
[tex](4/25)^{1/2} = \sqrt{4/25} = 2/5[/tex]b)
[tex](4/25)^{-1/2}=(25/4)^{1/2}=\sqrt{25/4} =5/2=2.5[/tex]Step-by-step explanation:
please mark me as brainlest
please someone help me with this. Giving brainliest!!
Step-by-step explanation:
option A is correct
we will add 5 to both the sides
→ 1/8x - 5 = 3
→ 1/8x = 8
than we will multiply 8 to both the sides
→ x = 8×8 = 64.
hope this answer helps you dear...take care abd may u have a great day ahead...and ur test/exam/assignment also go well!
evaluate the series 2 + 4 + 8 + 16 + 32 + 64
what percent of 500is 120
Answer:
24%
Step-by-step explanation:
Hope this helps :)
Answer:
24% of 500 is 120...........
If f(x)=(x-3)^2, find f(-4)
f(-4) = 49.
49
Step-by-step explanation:
f(x) = (x - 3)²
f(-4) = (-4 - 3)²
f(-4) = (-7)²
f(-4) = 49
24x - 10 = -12x + 40, What would be the coefficient of x if the variables were moved to the left side of the equation?
Answer:
25/18
Step-by-step explanation:
24x - 10 = -12x + 40
<=> 24x + 12x = 40 + 10
<=> 36x = 50
<=> x = 50/36
<=> x= 25/18
Please help me find the value of x
Answer:
60 degree angle
Step-by-step explanation:
If both of thise angles make 180 then you can divide 180 by 3. this give you 60. you would divide by t3 because 2 of the 3 parts go to the 2x angle. 2x means it is double your welcome
solve the inequality 3x-5<10
Answer:
answer is 5
Step-by-step explanation:
am 100% sure lol
Answer:
x < 5
Step-by-step explanation:
3x - 5 < 10
[make x the subject of the formula]
3x < 10 + 5
3x < 15
[divide both sides of the equation by 3]
3x / 3 < 15 / 3
x < 15 / 3
x < 5
How would you write 43—% asa decima
Answer:
if it's -43% it's -0.43. If it's 43% it's 0.43
Step-by-step explanation:
Which graph represents a function.
Answer:
one on bottom rght
Step-by-step explanation:
Am I doing this right I’m trying to help my little brother with his math homework but I don’t remember how to do this and he wants me to use the “cake method” (LCM stands for least common multiple)
Answer:
The least common multiple is 30. Hope that helps!!
Step-by-step explanation:
May I please receive help?
9514 1404 393
Answer:
parallel: y = -7x -44perpendicular: y = 1/7x -8/7Step-by-step explanation:
The given equation is in slope-intercept form:
y = mx +b . . . . . . line with slope m and y-intercept b
For the purpose of this question, you need to recognize that the line with equation ...
y = -7x +8
has a slope (x-coefficient) of -7.
The parallel line will have the same slope (x-coefficient).
The perpendicular line will have a slope that is the opposite reciprocal of this:
m = -1/(-7) = 1/7
Each line will have a y-intercept (b) that makes the line go through the given point. The y-intercept can be found by solving the slope-intercept equation for b:
b = y - mx . . . . . . where (x, y) is the point you want the line to go through
__
parallel line:
b = -2 -(-7)(-6) = -2 -42 = -44
The equation of the parallel line is y = -7x -44.
__
perpendicular line:
b = -2 -(1/7)(-6) = -14/7 +6/7 = -8/7
The equation of the perpendicular line is y = 1/7x -8/7.
please, someone, help me with this. Im giving brainliest!
Answer:
2x-10=14
2x=10+14
2x=24
x=24/2
x=12.
i guess it cant have infinite solutions.........
false.
Do you think school is good or bad why? (Use your own opinion) I just wanna see your guys opinions
Answer:
its good because it can help u with ur future it is bad because it is early in the morning and u go there tired
Step-by-step explanation:
Answer:
Good and bad
Step-by-step explanation:
Part of it is good since its actually getting me to my dream job. Bad because it causes a lot of stress (for me anyway).
how man times can 2 go intp 9
Answer:
4 times
Step-by-step explanation:
It goes in because 2+2+2+2=8 so you cant add 2 again or else it will go over so there for the answer is 4 times.
Find the equation of a line that is perpendicular to the line x=-9 and contains the point (-8,1)
Step-by-step explanation:
the line x = -9 had only one valid x value (-9), but then all values for y between -infinity and +infinity are valid.
does this sound familiar ?
it should, because the y-axis is the same type of line.
it is x = 0.
so, x = -9 is simply parallel to the y-axis.
and any line perpendicular to it (crosses the original line in a right angle = 90 degrees) is then parallel to the x-axis.
there the situation is upside-down: there is only one valid y value, and all values between -infinity and +infinity are valid x values.
since the specified point on that line has y = 1, it means that the whole line is
y = 1
What is the area of the polygon?
Is point (90, 68) on line j? Explain how you know
(x + 2)(x + 3)(x + 4) can be written in the form x + ax² + bx + c
where a, b and care positive integers.
Work out the values of a, b and c.
Answer:
[tex]a=9, b=26, c=24[/tex]
Step-by-step explanation:
Let's expand the expression bit by bit.
[tex](x+2)(x+3)=(x)(x)+(x)(3)+(2)(x)+(2)(3)=x^2+5x+6[/tex] by FOIL.
We have that [tex](x^2+5x+6)(x+4)=x(x^2+5x+6)+4(x^2+5x+6)=x^3+5x^2+6x+4x^2+20x+24=x^3+9x^2+26x+24[/tex].
So, the answer is [tex]\boxed{a=9, b=26, c=24}[/tex]
A cubic polynomial is a type of polynomial with the degree of 3 i.e. the highest exponent of the variable is 3.
The general form of a cubic polynomial is written as p(x): ax³ + bx² + cx + d, a ≠ 0, where a, b, and c are coefficients and d is the constant with all of them being real numbers.
Given:
(x + 2)(x + 3)(x + 4)
Now, Multiplying the monomial
= (x² + 2x + 3x+ 6 ) ( x+4)
= (x² + 5x+ 6 ) ( x+4)
= x³ + 4x² + 5x² + 20x + 6x+ 24
= x³ + 9x² + 26x+ 24
Now, Comparing it with the standard form of cubic Polynomial
ax³ + bx² + cx + d
So, a= 1, b= 9, c= 26 and d= 24.
Learn more about cubic Polynomial here:
https://brainly.com/question/28081769
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please help me on this
Answer:
[tex] {36}^{ - \frac{1}{2} } \\ = \frac{1}{ {36}^{ \frac{1}{2} } } \\ = \frac{1}{ \sqrt{36} } \\ = \frac{1}{6} \\ {64}^{ \frac{1}{3} } \\ = {(4 \times 4 \times 4)}^{ \frac{1}{3} } \\ = { {4}}^{ {3}^{ \frac{1}{3} } } \\ = 4 \\ thank \: you[/tex]
Can someone do 1-4 for me please i will give brainiest
Answer:
Step-by-step explanation:
f(4)=5
f(-1)=0
f(0)=1
F(2)=3
What is the value of
( - ) x 43 - ?
A. 6
16
B. 10
C. 35
D. 40
Could someone help me
Answer:
A: the answer is 10
B: the answer is 0.03
Step-by-step explanation:
Answer:
a is 10
b is 0.03
hope this helps
please someone help me. Im giving brainliest ! Correct answers only :)
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The Correct choice is : D
Here's the solution :
[tex] \sqrt{528} = 22.978250[/tex][tex] \sqrt{528} \approx23[/tex]What is the equation of this line?
A. y = -3x + 1
B. y = -3x - 1
C. y = 3x + 1
D. y = 3x - 1
Which expeession can be simplified as 1/n¹⁸ ?
(n²)⁹
[tex]( {n}^{ - 9}) ^{ - 2} [/tex]
[tex](n^{ - 6}) ^{ - 3} [/tex]
[tex](n^{ - 3}) ^{6} [/tex]
Step-by-step explanation:
the last one is the correct answer
[tex] \frac{1}{ {n}^{18} } \\ = {n}^{ - 18} \\ = {n}^{( - 3 \times 6)} \\ = ( {n}^{ - 3} ) ^{6} [/tex]
Answer:[tex]( {n}^{ - 3} ) ^{6} [/tex]
3 The diagram shows parallel lines a and b cut by
transversals cand d.
If mzi = 115° and m_8 = 105°, what is the measure of
each of the following angles?
56
87
4/3
9 10
13/14
b
Answer: mz5=
t
12 11
16/15
mZ11 =
m2 16 =
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Grade 8 Lesson 9 Understand Angle Relationships
hol narconnel anly Thic rochure ovires on 6/30/2003
Answer:get the government ewual
Step-by-step explanation:
You have to get the government equal
the weekly average cost of hiring a caravan in wales is £250
in July the average cost increases to £800
calculate the percentage increase
give your answer in 2 signifcant figures
9514 1404 393
Answer:
220%
Step-by-step explanation:
The percentage change is computed by ...
% change = ((new value)/(old value) -1) × 100%
= (800/250 -1) × 100% = (3.2 -1) × 100%
= 220%
The increase was 220%.