Answer:
93.84
Step-by-step explanation:
I think I'm not sure
8.
Fit a quadratic function to these three points:
(−2, 8), (0, −4), and (4, 68)
A. y = −2x2 − 2x − 4
B. y = −2x2 + 2x − 4
C. y = 4x2 + 2x − 4
D. y = −4x2 − 2x − 4
Answer: y= 4x² +2x -4
C. y = 4x2 + 2x − 4
Step-by-step explanation: f(x)=4x^2+2x-4
Given three points
P1(-2,8)
P2(0,-4)
P3(4,68)
We need the quadratic equation that passes through all three points.
Solution:
We first assume the final equation to be
f(x)=ax^2+bx+c .............................(0)
Observations:
1. Points are not symmetric, so cannot find vertex visually.
2. Using the point (0,-4) we substitute x=0 into f(x) to get
f(0)=0+0+c=-4, hence c=-4.
3. We will use the two other points (P1 & P3) to set up a system of two equations to find a and b.
f(-2)=a(-2)^2+b(-2)-4=8 => 4a-2b-4=8.................(1)
f(4)=a(4^2)+b(4)-4=68 => 16a+4b-4=68.............(2)
4. Solve system
2(1)+(2) => 24a+0b-12=84 => 24a=96 => a=96/24 => a=4 ......(3)
substitute (3) in (2) => 16(4)+4b-4=68 => b=8/4 => b=2 ..........(4)
5. Put values c=-4, a=4, b=2 into equation (0) to get
f(x)=4x^2+2x-4
Check:
f(-2)=4((-2)^2)+2(-2)-4=16-4-4=8
f(0)=0+0-4 = -4
f(4)=4(4^2)+2(4)-4=64+8-4=68
So all consistent, => solution ok.
...............................................................................................................................................
Answer:
y = 4x² + 2x − 4
Step-by-step explanation:
The y-values go down and up again, so the parabola opens upward. That means the x² coefficient must be positive. All answer choices are eliminated except one.
y = 4x² +2x -4
There are other ways to get the answer. One of them is to use the quadratic regression function of a spreadsheet or graphing calculator. The one attached shows the points are matched by the equation ...
y = 4x² +2x -4 . . . . . as above
...............................................................................................................................................
a line with slope -2 passes through the point (-2,3). What is the equation of the line?
A square is inscribed in a circle as shown below. The radius of the circle is
decreasing at a constant rate of ½ centimeter per second. When the
radius of the circle is 4√2 centimeters, what is the rate of change of the
area of the shaded region found outside the square but inside the circle.
Answer:
3
Step-by-step explanation:
ill mark brainliest thanks
Answer:
x=10
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the opposite interior angles
6x-7 = 26+2x+7
Combine like terms
6x-7 = 2x+33
Subtract 2x
6x-7-2x =2x+33-2x
4x-7 = 33
Add 7 to each isde
4x-7 +7 = 33+7
4x=40
Divide by 4
4x/4 = 40/4
x=10
Please helpppp I will mark you branliest pleaseee
Answer:
no
Step-by-step explanation:
the ratios shown in this table are not proportionate. You will also never get (0,0) in this table.
What is a quartic function with only two real zeros at x = 7 and x = 13
A. y = (x - 10) ^ 5 - 81 OR y = x ^ 5 - 20x ^ 4 + 92x ^ 3 + 34x ^ 2 - 20x + 91
B. Y= (x - 10) ^ 4 - 81 OR y = x^4 - 20x +91
C. y = (x - 3) ^ 4 - 41 OR y = 2x ^ 4 - 21x ^ 3 + 52x ^ 2 - 17x + 609
D. y = (x+ 8)^4 + 71 OR y = x^4 - 3x^3 + 7x^2 - 5x + 13
Zeros be a and b
a=7b=13Function
[tex]\\ \sf\longmapsto y=x^2-(a+b)x+ab[/tex]
[tex]\\ \sf\longmapsto y=x^2-(7+13)x+(7)(13)[/tex]
[tex]\\ \sf\longmapsto y=x^2-20x+91[/tex]
Option B
Evan and Brayden want to know if they have more X Box games than Reid and Bryce do
combined. Evan has 43 and Brayden has 42. Reid has 76 and Bryce has 23. Which pair of
boys has more? How much more do they have?
Answer:
Step-by-step explanation:
Evan has 43 and Brayden has 42. Reid has 76 and Bryce has 23. Which pair of boys has more? How much more do they have?
Reid and Rryce have more. If you add 43 and 42 you get 85 and when you add 76 and 23 you get 99. So now subtract 99 and 23 which is 76.
The force in Newtons acting on a particle located x meters from the origin is given by the function F(x)=12x2+7. What is the work done in Joules when moving the particle from x=2 to x=5?
[tex]W = \displaystyle \int^{5}_{2} F(x) ~ dx\\\\\\= \displaystyle \int^{5}_{2} \left(12x^2 +7\right) ~dx\\\\\\= 12\displaystyle \int^{5}_{2} x^2 ~dx + \displaystyle \int^{5}_{2} 7~ dx\\\\\\=12 \left[\dfrac{x^3}3 \right]^{5}_{2} + 7\left[x\right]^{5}_{2}\\\\\\=4(5^3-2^3) + 7(5-2) = 468 + 21 = 489~ J[/tex]
ILL GIVE BRAINLIEST!!! Maya has $15 to spend. She spent $5.50, including tax, to buy a notebook. She needs to save $7.75, but she wants to buy a snack. If cookies cost $0.25 per package including tax, what inequality would show the maximum number of packages that Maya can buy?
Answer:
The answer is 7 she Can Buy 7 packages of cookies.
Step-by-step explanation:
1. 15-5.50=9.50
2.9.50-7.75=1.75
3. 1.75-0.25*7=0
She wouldn't have any money left over to buy it
f(-x)=3x^2+4x-4
find f(-x)
Question 2 Fill-In-The-Blank Worth 3 points)
(04.04)
Point R is at (4.1.5) and Point T is at (429) on a coordinate grid. The distance between the two points is_(Input numbers and decimal point only, such as 82)
Answer for Blank 1
Answer:
1.4
Step-by-step explanation:
in the graph, the points are 14 points apart, when the step of the graph is set to .1, if you count, they're .14 point apart, or 1.4
What’s the slope of 10,6 and 4, 1.2
let's firstly change the 1.2 to a fraction
[tex]1.\underline{2}\implies \cfrac{12}{1\underline{0}}\implies \cfrac{6}{5} \\\\[-0.35em] ~\dotfill\\\\ (\stackrel{x_1}{10}~,~\stackrel{y_1}{6})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{\frac{6}{5}}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{\frac{6}{5}}-\stackrel{y1}{6}}}{\underset{run} {\underset{x_2}{4}-\underset{x_1}{10}}}\implies \cfrac{~~ \frac{6-30}{5}~~}{-6}\implies \cfrac{~~ \frac{-24}{5}~~}{-6}\implies \cfrac{~~ -\frac{24}{5}~~}{-\frac{6}{1}}[/tex]
[tex]-\cfrac{\stackrel{4}{~~\begin{matrix} 24 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}{5}\cdot -\cfrac{1}{\underset{1}{~~\begin{matrix} 6 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}\implies \boxed{\cfrac{4}{5}}[/tex]
what is the first three elements of an arithmetic sequence are -13 , -8 and -3, which elements is 182?
using the distributive property, rewrite the expression (-2x - 8) (-6)
please help and explain how to do it
Answer:
2x8=16-6=10
Step-by-step explanation:
10 is the answer
the equation 2x^2+5kx+k=0, where k is a constant has no real roots. Find possible values of k
Step-by-step explanation:
What do you mean "no real roots" ?
if I understand correctly we have
2x² + 5kx + k = 0
the solutions for such a quadratic equating are
x = (-b ± sqrt(b² - 4ac))/(2a)
a = 2
b = 5k
c = k
so, we get
x = (-5k ± sqrt(25k² - 8k))/4
why would that have no real solutions ?
e.g. k = 2
x = (-10 ± sqrt(100 - 16))/4 = (-10 ± sqrt(84))/4
since the sqrt is a little bit bigger than 9 we get 2 negative solutions for x. but still real.
I don't understand what your need here.
Which equation would you use to solve the following situation?
There are 6 cookies in the cookie jar. Sean bakes some more and now there are 15 cookies in the jar. How many cookies did Sean bake?
6 + x = 15.
x - 6 = 15.
15 + 6 = x.
6 - x = 15.
Answer:
6+x=15 (x=9)
Step-by-step explanation:
6 cookies + the newly baked ones = 15 cookies
we know there was 6 cookies and we knew that the result is 15, which means that we "don't know" how many cookies are baked. So the answer is 6+x=15
2/3x + 7 = -1/5x + 3
if there is any doubt leave a comment
PASSCODE DECODER RING SHRI o If it takes 6 hours to bake 3 cakes, then at that rate, how many cakes could be baked in 12 hours? If Ava makes $15 in 2 hours, what is her rate of pay? 3nt took 5 hours to mow 6 yards. At that rate, how many yards can be mowed in 20 hours? co malaya $ o 94 If 10 bags of ice cost $12, how much does 1 bag cost? 5 A car gets 30 miles per gallon of gas. At that rate, how many gallons would it take for the car to go 360 If you type 75 words in 3 minutes, at what rate do you type? RECORD PASSCODE Directions Complete the questions, match each answer on the decoder eing, med record the letter from that spot When complete, go back to The Nission page te access the posscode reader to check your answer and solve another part of the mystery
The rate is a fraction that compares the values of two quantities. The expected answers to the questions are given below:
1. Given that 3 cakes takes 6 hours to bake, then:
1 cake = [tex]\frac{6}{3}[/tex]
= 2 hours
So that;
the number of cake to be baked in 12 hours = [tex]\frac{12 hours}{2 hours}[/tex]
= 6
The number of cake to be baked in 12 hours is 6.
2. Ava's rate of pay = [tex]\frac{15}{2}[/tex]
= $7.5 pr hour
Thus Ava's rate of pay is $7.5 per hour.
3. It took 5 hours to mow 6 yards. Thus;
To mow 1 yard = [tex]\frac{5}{6}[/tex] hours
The number of yards to be mowed in 20 hours = 20 ÷ [tex]\frac{5}{6}[/tex]
= 20 x [tex]\frac{6}{5}[/tex]
= 24
The number of yards to be mowed in 20 hours is 24.
4. Given that 10 bags of rice cost $12, then;
1 bag = [tex]\frac{12}{10}[/tex]
= 1.2
1 bag = $1.2
The cost of a bag of rice is $1.2.
5. Rate = 30 miles per gallon
The number of gallons required = [tex]\frac{360}{30}[/tex]
= 12
Thus 12 gallons would be required by the car to travel 360 miles.
6. Rate = [tex]\frac{75}{3}[/tex]
= 25
Rate = 25 words per minute
The typing speed is 25 words per minute.
For more on rate, check: https://brainly.com/question/119866
Hello, Sorry To bother you nice ppl but more questions awaits u :)
Answer:
B. -2x + 10 is the correct answer
Answer:
(C) -2x + 10
Step-by-step explanation:
This is going to be multiplication from the first number outside the "Bubble"
-2 multiplied by x = -2x ,
why ? because a negative times a positive makes a negative
Next is -2 multiplied by -5 = 10
why ? because a negative times a negative = equals a positive !
now .. you add up all of the sums together to make an equation ..
Answer would be -2x+10
1.8.3 practice - functions
11. Find f(2) and f(a+h) when f(x) = 3x^2 + 2x + 4.
Help please i need to know this answer
Answer:
976
SA=2(S1)+2(S2)+S3
S1=14*24/2
S1=168
S2=25*10
S2=250
S3=14*10
S3=140
SA=2(168)+2(250)+140
SA=976 cm
Write the linear equation that gives the rule for this table.
x f(x)
1 –47
2 –45
3 –43
4 –41
Answer:
The linear equation that gives the rule of the table is f(x) = x + 25
The linear equation can be represented in a slope intercept form as follows:
y = mx + b
where
m = slope
b = y-intercept
Therefore,
Using the table let get 2 points
(2, 27)(3, 28)
let find the slope
m = 28 - 27 / 3 -2 = 1
let's find b using (2, 27)
27 = 2 + b
b = 25
Therefore,
y = x + 25
f(x) = x + 25
Step-by-step explanation:
Part A
Triangle ABC is reflected across the
X-axis to form triangle A'B'C'. What are
the coordinates of C after the
reflection? (Draw the image across the
Taxis)
Do
76
A. (-6,4)
B. (3,-2)
C. (4, -6)
D. (6,-4)
Answer:
D) (6, -4)
Step-by-step explanation:
pt C has coordinates of (6,4)
if you reflect that point across the x-axis the x-value remains the same and the y-value continues to be 4 units from the x-axis, but below it instead of above it
Solve. 3(x-6) - 8x = -2 + 5(2x+1)
Answer: x = -1.4
Step-by-step explanation:
Answer: x = -7/5
Step-by-step explanation: (3)(x)+(3)(−6)+−8x = −2+(5)(2x)+(5)(1) 3x+−8x+−18 = 10x+−2+5 −5x+−18 = 10x+3 −5x−18-10x = 10x+3-10x −15x−18+18 = 3+18 −15x/-15=21/-15 x = -7/5
How to factor out a polynomial with a 3rd degree.
Answer:
How to factor out a polynomial with a 3rd degree-• well here is a For example, let G(x) = 7x³ – 125. Then factoring this third degree polynomial relieve on a differences of cubes as follows: (2x – 5) (4x² + 20x + 25), where ²x is the cube-root of 8x³ and 5 is the cube-root of 1256
Answer:
long division is probably the simplest method of finding out the factors
Step-by-step explanation:
For example, let G(x) = 8x³ – 125. Then factoring this third degree polynomial relies on a difference of cubes as follows: (2x – 5) (4x² + 10x + 25), where 2x is the cube-root of 8x³ and 5 is the cube-root of 125. Because 4x² + 10x + 25 is prime, you are done factoring.
PLEASE HELP ME!
Find the x- and y-intercepts of the graph of -x+2y=6. State each answer as an integer or an improper fraction in simplest form.
9 - 3 ÷ 1/3 + 1 = x
pls help
Answer:
Step-by-step explanation:
x=9
ILL GIVE BRAINLIEST! THIS IS DUE SOON PLEASE
Answer:
-3
Step-by-step explanation:
a. Simply put (x+h) wherever you have x.
[tex]f(x+h) = -3(x+h)+7 = -3x +7 -3h[/tex]
b. We have the first part, just subtract
[tex]f(x+h) = -3(x+h)+7 = -3x +7 -3h - (-3x+7) = -3x+7-3h +3x -7 = -3h[/tex]
c. Finally, we divide by h[tex]\frac{-3h}h = -3[/tex]
Please help with this thanks
Answer:
1. 7
2. 5
3. 6
4. Start at the number 34. count back 1 at a time 28 times. then you will get your answer to 34-28 which is 6.
Step-by-step explanation:
have a great day! feel free to mark as brainliest. :)
What is the slope of the line?