x3 - 1/2x + 2 = 0
if you mean x³, and not x3, then heres the answer to the problem: (if it is something else please let me know)
x³ - 1/2x + 2 = 0
-2 -2
x³ - 1/2x = -2
^no side is 0 :D
Deandre is going for a run. He runs at a speed of 6.4 miles per hour for two hours. For how many miles does he run?
Write the equation of the parabola in vertex form.
vertex (3,1), point (2, - 6)
f(x) =?
Answer:
[tex]f(x)=-7(x-3)^2+1[/tex]
Step-by-step explanation:
Vertex form of a quadratic is given by:
[tex]f(x)=a(x-h)^2+k[/tex]
Where (h, k) is the vertex and a is the leading coefficient.
We are given that the vertex is (3, 1). Hence, h = 3 and k = 1. By substitution:
[tex]f(x)=a(x-3)^2+1[/tex]
We are also given a point (2, -6). This means that when x = 2, f(x) = -6. Hence:
[tex]-6=a((2)-3)^2+1[/tex]
Solve for a. Subtract:
[tex]-6=a(-1)^2+1[/tex]
Simplify:
[tex]-6=a+1[/tex]
Therefore:
[tex]a=-7[/tex]
Hence, our quadratic is:
[tex]f(x) = -7 (x-3)^2 + 1[/tex]
the starting point.. On a number line it is 0
Answer:
yes that is correct...
Step-by-step explanation:
Evaluate:- (x⁴-y⁴) (x⁴+y⁴)
Answer:
x^8-y^8
Step-by-step explanation:
Describe the solution set of each of the following quadratic inequality or not
Answer:
See below
All the inequalities can be solved by making a table, but once they are simple factored quadratic expressions, we already know what interval it will have.
Step-by-step explanation:
1)
[tex]x^2+9x+14>0[/tex]
Factoring the expression, we have
[tex](x+2)(x+7)>0[/tex]
Considering that
[tex](x+2)(x+7)=0[/tex]
for [tex]x = -2[/tex] and [tex]x=-7[/tex] you can see that for
[tex](x+2)(x+7)>0[/tex]
[tex]x \not\in (-7, -2)[/tex]
Therefore,
[tex]S = \{x\in\mathbb{R} : x<-7 \text{ or } x>-2 \}[/tex]
[tex]S = (-\infty,-7)\cup (-2,\infty)[/tex]
2)
[tex]x^2-10x+16<0[/tex]
You can factor it again.
[tex](x-2)(x-8)<0[/tex]
You can make the table to solve all the inequalities, but once we have the expression [tex]< 0[/tex], we know that
[tex]2<x<8[/tex], therefore,
[tex]S = (2, 8)[/tex]
3)
[tex]2x^2+11x+12<0[/tex]
Factoring we have
[tex](2x+3)(x+4)<0[/tex]
Find the solutions for
[tex](2x+3)(x+4)=0[/tex]
And we know that
[tex]-4<x<-\dfrac{3}{2}[/tex]
[tex]S = \left(-4,-\dfrac{3}{2}\right)[/tex]
21. Combine the complex numbers
(9+81)-(2+81)+(9 +21)
Answer:
37
Step-by-step explanation:
90-83+30=37
A city garden club is planting a square garden. They drive pegs into the ground at each corner and tie strings between each pair. The pegs are spaced so that WX ≅ XY ≅ YZ ≅ ZW . How can the garden club use the diagonal strings to verify that the garden is a square? Complete the explanation.
e23
Because both pairs of opposite sides of the quadrilateral garden are congruent, the garden is a parallelogram. The garden is a
(select)
, because all four sides are congruent. If it can be proven that it is also a
(select)
, then the garden is a square. So, if the diagonals
(select)
, then the garden is a square. The club members can measure the lengths of the diagonals.
Answer:
first blank is "rhombus"
second blank is "rectangle"
third blank is "are congruent"
Step-by-step explanation:
814
100,000
If the probability that a person will die in the next year is
probability that the person will not die in the next year?
what is the
Answer:
0.99186 probability that the person will not die in the next year, and the correct option is A.
Step-by-step explanation:
Dying and not dying in that year are complementary events, that is, one of them will happen. This means that the sum of their probabilities is 100% = 1.
The probability of dying is:
[tex]p = \frac{814}{100000} = 0.00814[/tex]
So the probability of not dying is given by:
[tex]P = 1-0.00814 = 0.99186[/tex]
0.99186 probability that the person will not die in the next year, and the correct option is A.
Use quadratic regression to find the equation of the parabola going through these 3 points.
(-5,13) (0,8) (2,48)
y=[?]x^2+[?]x+[?]
Answer:
3 + 14 + 8
Step-by-step explanation:
7a=21
a=21
The equation of the parabola that goes through the three points is:
y = 3x² + 14x + 8
The points are given as:
(-5,13), (0,8), (2,48)
To find the equation of the parabola that goes through the given three points (-5,13), (0,8), and (2,48) using quadratic regression, we need to fit a quadratic equation of the form y = ax² + bx + c to these data points.
Using the three points, we can set up a system of equations:
13 = a(-5)² + b(-5) + c
8 = a(0)² + b(0) + c
48 = a(2)² + b(2) + c
Simplifying these equations, we have:
25a - 5b + c = 13
c = 8
4a + 2b + c = 48
Solving this system of equations, we find that a = 3 and b = 14, and c = 8.
Therefore, the equation of the parabola that goes through the three points is:
y = 3x² + 14x + 8
Learn more about the quadratic regression here:
https://brainly.com/question/24194413
#SPJ4
What is the volume of the paper weight ? Please help !!
Answer:
144 inches squared
3x+8=35 Show your work
Answer:
x=9
Step-by-step explanation:
So first subtract 8 on both Sides
3x+8-8=35-8
3x=27
Now divide 3 on both sides to isolate the variable x
x=9
So x=9
Answer:
so to do this you need to subtract 8 from 35 to get 27 now do 27 divide by 3 to get 9
3x+8=35
3x=35 - 8 = 27
3x = 27
3x divided by 27 = 9
Step-by-step explanation:
Equations and Slope
Which shows a box-and-whisker plot for the following data?
57, 38, 27, 40, 48, 43, 37, 33, 33, 34, 38, 44, 37, 35, 52
HELP PLS
Answer:
D
Step-by-step explanation:
Find the min, Q1, median, Q3, and Max of the data given.
✔️Arrange the data in an ordered manner:
27, 33, 33, 34, 35, 37, 37, 38, 38, 40, 43, 44, 48, 52, 57
✔️Min = 27
✔️Q1 = the 4th data set = 34
✔️Median = the 8th data set = 38
✔️Q3 = 12th data set = 44
✔️Max = 57
Therefore, the box plot that has all these values represented corrected is the box plot in the last option (D).
I GIVEEEDDE BRAINLILSTTT
Answer:
[tex]\frac{1}{5}[/tex]
Step-by-step explanation:
To find the scale factor of a dilation, we first find two corresponding sides. For example, the top edge of the black shape corresponds with the top edge of the purple shape. The top edge of the black shape measures 15 units while the top edge of the purple shape measures 3 units
Now, we divide the length taken from the figure by the length taken from the original shape. In this case, we divide the length of 3 by the length of 15.
3/15=[tex]\frac{1}{5}[/tex]
I hope this helps!
What is the measure of B?
Answer: ∠B = 82°
Step-by-step explanation:
To find the measure of B, you have to find the measure of A.
m∠143° + m∠A = 180° because they are a linear pair
m∠A + 143 = 180
Subtract both sides by 143
m∠A = 37
Since you know the measure of angle A, you can find angle B
Angle A, B, and C should add up to 180° as triangles' angles sum up to 180°.
∠B + ∠A + ∠C = 180°
Substitute
∠B + 37 + 61 = 180
∠B + 98 = 180
Subtract 98 from both sides
∠B = 82°
how much does michael jordan make a month
Answer:
he makes about $130 million a year.
Step-by-step explanation:
divide 130,000,000 by 12 and you get 10,833,333.3333. So approx. $10,833,333.30 per month.
Which expression is equivalent to 3x + 6
Answer:
3(x+2)
High Hopes
Barry-
Which coordinate pair represents point X?
A. (8,8)
B. (8,10)
C. (10,8)
D. (10,10)
Answer:
it's B
it's B because the point X is on 8 and 10
Ms. Davis is doing an activity with her statistics students where she gives them a 20-question multiple choice test, and they know none of the answers. Students need to guess on every question, and each question has 5 possible choices, 1 of which is correct. What are the mean and standard deviation of the number of questions that each student gets correct?
Answer:
Average: 4
Standard Deviation: 0
Step-by-step explanation:
Because we don't know how each student did we are going to assume that they all got 20% of the questions right
20% of 20 is 4
Which means that we can assume each student got 4 questions correct
Because all entries are the same the standard deviation is 0
Mr. Foster paid $160 to rent a car for 5 days. If the cost for each day was the same, how much did he pay each day that he rented the car?
Answer is 32
Step-by-step explanation:
Answer:
32
Step-by-step explanation:
160/5 = 32 because if your paying 160 dollars every week you for 1 month which is v weeks you're paying 640 a month for renting a car so if you divide 640/20 you get 32 and 160 /5 is 32
Plz help
!!!!!!!!!!!!!!!!!
Answer:
The car will travel 525 miles on 15 gallons of gas.
Step-by-step explanation:
Given that car can travel 35 miles using 1 Gallon of gas.
so
Unit rate = 35 miles per gallon
Thus,
The number of miles a car can travel in 15 gallons = 15 × 35
= 525 miles
Thus, the car will travel 525 miles on 15 gallons of gas.
What is the simplified expression?
Answer:
5/2 is the answer which is the last one
NEED HELP FOR HOMEWORK, WILL NAME BRAINLIEST !!
Answer:
1) 4/15
2) 15/15?
Step-by-step explanation:
1) 3/5-1/3
9/15-5/15
4/15
2) 15/15?
(This is the 3rd time I've asked this lol) Write the equation that passes through the following points:
(1,1) and (3,3)
Answer:
y=x
Step-by-step explanation:
Answer:
y=x
Step-by-step explanation:
That's legit it. Type it into a graphing calc and it goes through(1,1) ad (3,3).
Select all that apply
To which sets does -7/8 belong?
irrational numbers
integers
real numbers
rational numbers
whole numbers
natural numbers
Please help! I’ll mark Brainlyest
Answer:
3
Step-by-step explanation:
the answer is x=3 because 4x3 = 12 + 1 = 13. there's your answer. please mark me brainliest!!!
Solve for n. 16 = n divided by 3/4
Answer: 16 = n ÷ (3/4)
n = 16(4/3)
n = 64/3
n = 21 1/3
Answer:
64/3
Step-by-step explanation:
E. Makalo can spend no more than $60
today. He has already spent $45.
How much more money can Makalo
spend today?
Answer:
15
Step-by-step explanation:
because add 5 to 45 and then you 10 to 50 and that equals 60 so 15
A car travels 350 miles on 20 gallons of gasoline. How many gallons will be used to travel 875 miles under the same conditions?
Answer:
43.75 gallons will be used
Step-by-step explanation:
73% of students usually turn in assignments on time. If Ms. Davies 56 students, about how many will usually turn in assignments on time?
Answer:
40/41
Step-by-step explanation:
73*56
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
The asymptote of the function f(x) = 3x + 4 is y =
Answer:
Conclusion:
No vertical asymptotes. No horizontal asymptotes. No slant asymptotes.Step-by-step explanation:
Given the function
f(x) = 3x + 4
Determining the VERTICAL ASYMPTOTES
The line x = L is a vertical asymptote of the function y=3x+4 if the limit of the function (one-sided) at this point is infinite.
It means that possible points are points where the denominator equals 0 or doesn't exist.
So, find the points where the denominator equals 0 and check them.
As can be seen, there are no such points, so this function doesn't have vertical asymptotes.
Determining the HORIZONTAL ASYMPTOTES
Line y = L is a horizontal asymptote of the function y=f(x) if either [tex]\lim _{x\to \infty }\:f\left(x\right)=L[/tex] or [tex]\lim _{x\to -\infty }\:f\left(x\right)=L[/tex], and L is finite.
Calculate the limits:
[tex]\:\lim \:_{x\to \:\infty \:}\:\left(3x+4\right)=\:\infty \:[/tex]
[tex]\:\lim \:_{x\to \:-\infty \:}\:\left(3x+4\right)=\:-\infty \:[/tex]
Thus, there are no horizontal asymptotes
Determining the SLANT ASYMPTOTES
Since the degree of the numerator is not one degree greater than the denominator, then there are no slant asymptotes.
Conclusion:
No vertical asymptotes. No horizontal asymptotes. No slant asymptotes.Answer:
For plato family
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
The asymptote of the function f(x) = 3x + 4 is y = 4
.
Step-by-step explanation:
The answer is y= 4