Answer:
Step-by-step explanation:
-7
find the midpoint of (-8,-9) and (-5,1)
If f(x) = 2x^3 - 14x^2 + 38x -26 and x-1 is a factor of f(x) find all of the zeros of f(x) algebraically.
Answer:
Step-by-step explanation:
First confirm that x = 1 is one of the zeros.
f(1) = 2(1)^3 - 14(1)^2 + 38(1) - 26
f(1) = 2 - 14 + 38 - 26
f(1) = -12 + 38 = + 26
f(1) = 26 - 26
f(1) = 0
=========================
next perform a long division
x -1 || 2x^3 - 14x^2 + 38x - 26 || 2x^2 - 12x + 26
2x^3 - 2x^2
===========
-12x^2 + 28x
-12x^2 +12x
==========
26x -26
26x - 26
========
0
Now you can factor 2x^2 - 12x + 26
2(x^2 - 6x + 13)
The discriminate of the quadratic is negative. (36 - 4*1*13) = - 16
So you are going to get a complex result.
x = -(-6) +/- sqrt(-16)
=============
2
x = 3 +/- 2i
f(x) = 2*(x - 1)*(x - 3 + 2i)*(x - 3 - 2i)
The zeros are
1
3 +/- 2i
What is the equation of the line that passes through the points (4,-4) and has a slope of -3/4
Answer:
the desired equation is y = (-3/4)x - 1
Step-by-step explanation:
Start with the slope-intercept formula y = mx + b.
Substitute -4 for y, +4 for x and -3/4 for m:
-4 = (-3/4)(4) + b
Then -4 = -3 + b, so b must be -1
and the desired equation is y = (-3/4)x - 1
NEED HELP ASAP
SOLVE FOR V
ryv-tu=w
Answer:
v= w/ry+tu/ry
Step-by-step explanation: Isolate the variable then Divide each side by the factors that don't contain the variable.
John needs to take a cab uptown and only has y dollars. The cab company charges a flat fee of $2.25 plus $0.55 per mile. If John has $12.52 and he finds a cab with the same flat fee that only charges $0.45 per miles, what is the maximum number of miles he will be able to travel, t the nearest tenth of a mile?
Answer:
Maximum distance covered by John = 22.8 miles
Step-by-step explanation:
The cab company charges a flat fee of $2.25 plus $0.55 per mile.
Amount of money John has = $y
Let the number of miles traveled in $y = x miles
If John finds a cab charging same fee and $0.45 per mile,
y ≤ 2.25 + 0.45x
y - 2.25 ≤ 0.45x
[tex]x\leq \frac{(y-2.25)}{0.45}[/tex]
Therefore, inequality representing the maximum distance covered by John,
[tex]x\leq \frac{(y-2.25)}{0.45}[/tex]
If, y = $12.52
[tex]x\leq \frac{(12.52-2.25)}{0.45}[/tex]
x ≤ 22.8 miles
Therefore, John will be able to travel the maximum distance = 22.8 miles.
Answer:
x ≤ 22.8 miles
John will be able to travel the maximum distance of 22.8 miles.
Step-by-step explanation:
I hope this helps
You have 23.8 feet of string that you need to cut into 3.4 feet sections. How many sections of
string will you be able to make?
Answer:
7
Step-by-step explanation:
[tex]23.8 \div 3.4 = 7[/tex]
Which one?
A. B. C. or D?
Answer:
B
Step-by-step explanation:
(7m+5m^3)-3m-4m^3
we simplify to get
4m+m^3 which can be rearranged
m^3+4m
What is -14x+28+6x=-44 and show your work pls and thankyou.
Answer:
x=2
Step-by-step explanation:
-14x+28+6x=-44
-8x+28=-44
-8x= -16
x=2
combine like terms
-8x+28 = -44
subtract 28 from both sides
-8x = -72
divide both sides by -8
x = 9
What does this mean exactly?
Answer: Choice B [tex]y \le 0[/tex]
========================================================
Explanation:
They want to know what are all the possible y values here. The range is the set of all possible outputs of a function.
The largest y value is y = 0 which occurs at the vertex, in this case the highest point. There is no smallest y value as those arrows point downward forever.
So y is between negative infinity and 0, which means we write [tex]-\infty < y \le 0[/tex]
Converting that to interval notation leads to [tex](-\infty, 0][/tex]. Note the square bracket to include the endpoint.
The compound inequality [tex]-\infty < y \le 0[/tex] simplifies to [tex]y \le 0[/tex]
One way to describe this particular relation's range is to say "The set of negative real numbers with 0 included".
Side note: The domain is the set of all possible x inputs. In this case, the domain is the set of all real numbers.
brainliest You are going on a plane ride. You leave at 11:00am, sight see for awhile and return back to the same airport at 4:00pm. The plane traveled at 180 miles per hour. How far did the plane fly?
Answer:900 miles
Step-by-step explanation:
Answer:
900
Step-by-step explanation:
11: 00 am to 4: 00 pm thats a 5 hour flight basically. Then do 180 x 5 = 900 (Hope Im right and u guys understand :DD)
Find the slope on the graph?
Answer: I believe it’s 1/2
Step-by-step explanation: it cannot be a negative answer because The point on the graph is on the positive side
Answer: 2
Step-by-step explanation:
The slope of a graph is rise over run.
Find a perfect point on the graph and go to the next perfect point.
An example is:
(-2, 0) and (-1, 2)
To get from the first point to the second, you go up 2 over 1.
It’s rise (up) over run (left or right) so it’s 2/1.
2 divided by 1 is just 2.
Your slope is 2.
Hope this helps!
Which is true about x, the quotient of the division problem shown below? х 81 918 O The quotient contains a repeating decimal. O The quotient contains a terminating decimal. O The quotient is a whole number less than 11. O The quotient is a whole number greater than 11
Answer:
The answer is choice 2 and 3, that is "The quotient has a final decimal and the whole number is less than 11".
Step-by-step explanation:
The product of a ratio: amount (r) over other(s) (variance from 0) becomes mandatory to note this quotient and in the following case Thus q is = 0.0882352941.
[tex]\to \frac{81}{918}= 0.0882352941[/tex]
It wasn't a repeating decimal, however a final decimal, so it's got an end.
Its quotient may be less than 11 in total.
Numbers of W = {0,1,2, ...} and 0 < 11 are provided for this entire series of data therefore It's real .
Answer:
a
Step-by-step explanation:
Write the equation of the line that passes through the given points.
(0,4) and (5,10)
Answer:
y = [tex]\frac{6}{5}[/tex]x + 4
Step-by-step explanation:
Use the slope formula and slope-intercept form y=mx+b to find the equation.
in an equation y varies directly as x varies. if y = 55 when x = 22, what is the value of x when y = 85?
Answer:
x=34
Step-by-step explanation:
If you put Y and X into a ratio then it will be
5:2
because since their GCF is 11, then we will have to divide both of the numbers by 11.
If y=85 then that means that it was multiplied by 17. If we want them to stay within the same ratio, then we will have to multiply X (2) by 17.
That will get you 34.
Mike is purchasing fabric for a school project. He needs to cut out circles with an area of 314 square inches. The fabric at the store is precut into squares, each of which has a whole number of inches for the length of its side. What is the smallest square piece of fabric Mike can purchase to use to cut out one of the circles?
Answer:
20 inches
Step-by-step explanation:
Mike needs to cut out circles with an area of 314 square inches.
Let d be the diameter of required the circle,
So, the area of the circle [tex]=\frac{\pi d^2}{4}[/tex]
[tex]\Rightarrow 314 = \frac{\pi d^2}{4}[/tex] [ given]
[tex]\Rightarrow 314\times 4 =\pi d^2[/tex]
[tex]\Rightarrow 314\times 4 =3.14 \times d^2[/tex] [ using \pi=3.14]
[tex]\Rightarrow d^2=\frac{314\times 4}{3.14}[/tex]
[tex]\Rightarrow d^2=400[/tex]
[tex]\Rightarrow |d|=\sqrt{400}=20[/tex]
[tex]\Rightarrow d=\pm 20[/tex] inches
Neglecting the negative sign as the length of diameter can't be negative.
So, the diameter of the required circle is [tex]d=20[/tex] inches.
As the available fabric at the store is in the square shape for which length and width are the same, to cut out one circle of diameter [tex]d[/tex], the dimension of the square must be greater than or equal to [tex]d[/tex].
So, the length of the smallest square piece of the fabric Mike can purchase to use to cut out one of the circles is [tex]d=20[/tex] inches.
please answer 60 points worth
Answer:
The answer is C
Explanation:
This is because 2(-2) + -2 is smaller than -4
Answer:
THANKS SM
Step-by-step explanation:
What is -2(x - 5)- 11 in simplest form?
Answer:
-2x - 1
Step-by-step explanation:
-2(x-5)-11
We need to follow order of operations to simplify this expression. Order of operations is PEMDAS (Parentheses, exponents, multiplication, division, addition, subtraction)
-2(x-5)-11
-2x + 10 - 11
-2x - 1
answer the question(s) will give brainliest if correct
---
thanks
for 2) please explain
Answer:
d=r*2
πtimes the diameter
Step-by-step explanation:
diameter is twice the radius
there is nothing like that
WILL GIVE BRANLIEST! FINAL QUESTION
What is the radical form of x^-1/2?
A)√x
B)√x /x
C) x
Answer:A
Step-by-step explanation: In exponents,
a
1
m
=
m
√
a
Hence
x
1
2
=
2
√
x
A car's gas tank, which can hold 14 gallons of gas, contains 4 gallons of gas when the driver stops at a gas station to fill the tank. The gas pump dispenses gas at a rate of 5 gallons per minute. The equation g = 5t + 4 gives the number of gallons of gasoline g in the tank as a function of the pumping time t(in minutes).
Answer:
2minutesStep-by-step explanation:
Since the expression for the amount of gas in the tank is given as
g = 5t + 4
we already know that g=14 which is the capacity of the tank
so let us put g=14 we have
14=5t+4
solving for t, which is the time taken to fill up the tank that already has 4 gal already we have
14=5t+4
14-4=5t
10=5t
t=10/5
t=2min
Therefore the time taken to fill the tank is 2minutes
HELP ASAP!
Find the LCM (least common multiple) of 30 and 22.
LCM =
2 1/5 + 2 1/5 + 3 1/8 + 3 1/8
Answer:
Simplify the expression.
Exact Form:
213/20
Decimal Form:
10.65
Mixed Number Form:
10 13/20
Step-by-step explanation:
Solve for p, I don't know what else to add but yeah
solve for p?
Also explain
Answer:7
Step-by-step explanation:
6p-4+7p+3=90
13p-1=90
13p=91
p=7
A racquetball club membership costs $22.50 per month. What would a year’s membership cost?
Answer:
270 dollars for a year, so 22.50 times 12
The cost of the membership for a year will be $270.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
A racquetball club membership costs $22.50 per month.
We know that in a year, the number of months is 12.
Then the cost of the membership for a year will be given by the multiplication of the numbers 22.50 and 12.
Cost = 22.50 x 12
Cost = $270
The cost of the membership for a year will be $270.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ2
What are the possible values of x and y for two distinct points, (5,-2) and (x, y), to represent a function?
The value of x can be ____
The value of y can be ____
(any real number, any real number except 5, any real number except 5 and -2)
Answer:
3, 0
Step-by-step explanation:
Subtract 2.
5 - 3 = 2.
-2 - 2 = 0
Answer:
The value of x can be
✔ any real number except 5
The value of y can be
✔ any real number
.Step-by-step explanation:
The number of free spng to download is determined by usomg a ratio. When you purchase 40 songs, you get 24 free song download. How many songs must you purchase in order to get 6 free song downloads?
Answer:
10
Step-by-step explanation:
set up a proportion, 40/24 and x/6, 6 times 40 = 240, divide by 24 to get 10
Anna is given the equation 5 + 3x = 3x + 5
The replacement set is {1, 2, 3, 4}
Anna says the solution is {2}, but the teacher marked her problem incorrect. Explain what the answer should be and why. Why do you think this is?
Answer:
The answer is they are all correct
Step-by-step explanation:
5 +3(1) = 8 = 3(1)+5
5 +3(2) = 11 = 3(2)+5
5 +3(3) = 14 = 3(3)+5
5 +3(4) = 17 = 3(4)+5
5 +3(5) = 20 = 3(5)+5
Which equations represent this fact family ? Check all that apply
Answer:
9-11=20
and
20-11=9
Step-by-step explanation:
20+11=31, not 9- the first one is not the answer
20+9-29, not 11- the third is incorrect
11-20=-9, not 9- fifth is not it
Find the value of x.
2x x
Answer:
2x²
Step-by-step explanation:
2xx
=2*x*x
=2*x2
=2x2
Safiya deposited money into a bank account that earned 6.5% simple interest each year. After 312 years, she had earned $36.40 in interest on the account.
No other money was deposited into or withdrawn from the account.
How much was her initial deposit?
Answer: If the time is 3 1/2 years (most reasonable assumption)
Her initial deposit was $160
Step-by-step explanation: The basic formula for simple interest is
i = prt i is interest, P is principal (deposit) r is the percentage (converted to a decimal) and t is time, the number of years.
For this question, you have to rearrange the equation to solve for p.
So divide both sides by rt and you have
p = i/rt
Substitute the values given
p = 36.40/(0.065)(3.5)
Answer: $160.00
Step-by-step explanation: Answer confirmed on test