Answer:
[tex]x=\sqrt{3}-2\\x=-\sqrt{3}-2\\x=\frac{1}{2}[/tex]
Step-by-step explanation:
This is a hard one
We have to use the rational root theorem
[tex]2x^3+7x^2-2x-1[/tex] = 0
We have to find all the factors of a and d and put them in a fraction
[tex]a=2\\d=-1\\\frac{1}{1,2}[/tex]
We then plug them into the equation to see if any of them work
The equation isn't true when plugging 1, but is true when plugging in 1/2
factored form of 1/2 is (2x-1)
Then we divide the original equation by (2x-1) (you can use synthetic division or long division, it would be hard to type out the process for that) to get [tex]x^2+4x+1[/tex]
So now the equation is [tex](2x-1)(x^2+4x+1)[/tex]
Solve the second half of this equation using the quadratic formula to get
[tex]\sqrt{3}-2[/tex] and [tex]-\sqrt{3}-2[/tex]
We already know the solution for the first half of the equation (1/2)
So the final answers are:
[tex]x=\sqrt{3}-2, -\sqrt{3}-2, \frac{1}{2}[/tex]
How to simplify 27/63
Answer:
3/7
Step-by-step explanation:
We do this by first finding the greatest common factor of 27 and 63, which is 9.
Then, we divide both 27 and 63 by the greatest common factor to get the following simplified fraction: 3/7
hope this helps plz mark brainilest
Answer:
0.42857142857
Step-by-step explanation:
How fast will the train cover 290 miles if its speed is s miles per hour?
Answer:
290/s
Step-by-step explanation:
Basically, the question is asking you to find:
290/s miles per hour
The only problem is translating words to math.
Hope this helps!
Help Me Please!! The Chilly Fizz Root Beer can was 15.2 cm high. The new can is 0.5 cm shorter. The new can has a diameter of 5.4 cm. What is the volume of the new can? Use 3.14 for the value of π.
First find the height of the cylinder:
15.2 -0.5 = 14.7
The formula for a circle is : V= [tex]\pi r^{2}[/tex] h
V= [tex]\pi (5.4)^{2} (14.7)[/tex] (substitute pi for 3.14)
V= (3.14) (5.4)² (14.7) simplfy
V= 1345.96728
Lisa paid $35.00 to join an online music service. If she purchases 18 songs each month at a cost of $0.75 per song, what will be the total amount she has spent after 4 months?
Answer:
Hi there!
Your answer is:
$89
Step-by-step explanation:
35+18x(.75)
Plug in 4 for x.
35+ 18(4) × (.75)
35+ 54
89$
Hope this helps
the four fastest times in a race were 27.08 seconds 27.88 seconds 27.8 seconds and 26.78 seconds between which two times does 27.84 belong
Solve equation t+26=25
Answer:
t+26=25
t= 26-25 = 1
Step-by-step explanation:
A carpenter makes wooden chairs.
He has enough wood to make 30 chairs.
He makes $60 profit on a dining chair and $90 profit on a rocking chair.
It takes him 1 hour to make a dining chair and 2 hours to make a rocking chair.
He only has 40 hours available to work on the chairs.
The carpenter wants to maximize his profit given the constraints. He draws the graph below to represent this situation.
Answer:
Is there supposed to be a graph somewhere?
Brian invests £1900 into his bank account.
He receives 4.5% per year compound interest.
How much will Brian have after 7 years?
Give your answer to the nearest penny where appropriate.
Answer:
Brian will have 258564 pennies after 7 years
What type of number is negative 15 over 3
Answer:
Rational number
Step-by-step explanation:
Rational numbers are defined as the quotient (division result) of two integers
Yolanda is planning to put a pool in her backyard. The scaled model below gives the reduced measures for diameter and depth. 18 cm 4 cm Not drawn to scale The yard space is large enough to have a pool that has a diameter of 27 feet. If Yolanda wants to keep the pool in proportion to the model, what will be the depth of the pool? O 4.5 feet O 5 feet 06 feet 0 6.75 feet Wema
Answer:
B
Step-by-step explanation:
Help me pleaseee
The bottom number is a 4 btw it’s 20 points ❤️
Answer: It is 20 m, multiply each number by 1.25
(-8p^3+9p^2q)+(8p^3-pow+5q^2)
Answer:
-1opw+9p^2q+5q^2
Step-by-step explanation:
Your friend says that in the number 45,951, one 5 is 10 times as great as the other 5. Is your friend correct? Expain.
Answer:
No.
Step-by-step explanation:
The friend is not correct because in this case one five is 100 times greater than the other, not 10.
solve each inequality -3x<12
Answer:
-3x<12
/-3 /-3
x<-4
Step-by-step explanation:
2(x+y) = 2x + 2y
what property is this
Answer:
Distributive Property.
Step-by-step explanation:
You distribute the 2 to each of the terms.
what is 4(1/2+3/4)+(-2)
Answer:
3
Step-by-step explanation:
4(1/2+3/4)+(-2)
4 x 5/4 - 2
5 - 2
3
i hope this helps :)
Answer:
your answer is 3
Step-by-step explanation:
7р + 8р - 12 = 59 what would this be
Answer:
4.7333....................
Step-by-step explanation:
First combine like-terms. The equation now is 15p-12=59. Next add 12 to both sides. The equation now is 15p=71. Last divide both sides by 15. Now the equation is 4.73333....
what is 293+678 bc I need help
Answer:
971
Step-by-step explanation:
All we need to do is add.
293 + 678
971
Best of Luck!
Answer:
68+1
Step-by-step explanation:
How many 1/6s are in 2/3?
Answer:
four
Step-by-step explanation:
there are 4 1/6s in 2/3. 1/6 times four is 4/6. divide numerator and denominator by two to simplify, and you get 2/3. I hope this is correct :)
The number 1/6 s in the fraction 2/3 are 4.
The given fractions are 1/6 and 2/3.
Dividing fractions is nothing but multiplying the fractions by reversing one of the two fraction numbers or by writing the reciprocal of one of the fractions. By reciprocal we mean, that if a fraction is given as a/b, then the reciprocal of it will b/a.
Number of 1/6s are in 2/3
= 2/3 ÷ 1/6
= 2/3 × 6/1
= 4
Verification:
1/6 + 1/6 + 1/6 + 1/6
= 4/6
= 2/3
Therefore, the number 1/6 s in the fraction 2/3 are 4.
Learn more about the division of fractions here:
https://brainly.com/question/17205173.
#SPJ6
Houston, Texas get an annual rainfall of 5.2 times more than El Paso, Texas. Houston has an average rainfall of 46 inches, about how much rain does El Paso get?
Answer:
8.85 inches
Step-by-step explanation:
Divide Houston's average by 5.2 to find El Paso's:
46/5.2
= 8.85 inches
So, El Paso gets about 8.85 inches of rain
Answer:
8.846
Step-by-step explanation:
V - W = uvw, solve for w
how do I do that?
Answer:
[tex]W=\frac{V}{UV+1}[/tex]
Step-by-step explanation:
[tex]V-W=UVW\\\\V-W+W=UVW+W\\\\V=UVW+W\\\\V=UVW+W\\\\V=W(UV+1)\\\\\frac{1}{UV+1}(V)= \frac{1}{UV+1}(W)(UV+1) \\\\W=\frac{V}{UV+1}[/tex]
Is 8.168 a rational number?
Answer:
yes
Step-by-step explanation:
Describe the transformation used to map the graph of f(x) =x onto the graph of g(x)= 4x
Answer:
Step-by-step explanation:
5). Graph of the parent function f(x) = x has been given in the picture.
To map the graph the function 'f' onto the graph of function 'g',
f(x) = x
g(x) = 4x
A vertical stretch of the function 'f' by a scale of 4 is required.
6). Rule for a function to be translated by 'a' units down,
g(x) = f(x) - a
By this rule, if the function 'f' is translated 7 units down,
g(x) = f(x) - 7
g(x) = x - 7
What is -2/3 plus 1/5?
Answer:
-7/15
Step-by-step explanation:
Find GCF of both denominators
GCF: 15
Multiply 5 to -2 in -2/3 and 3 to 1 in 1/5
This gives you -10/15 + 3/15
Solve
-7/15
Which expression can be used to solve
3/5•|• 7/10
Answer: D
Step-by-step explanation: if you write it out it will be the exact same thing as D so it will be d
Find the domain of the graph
Answer:
The domain should be on the x-axis.
I might be wrong.
7-(-1)
Simplify the expression
can you help for me 20x+5y=15 for y
Find the equation of the line with slope −2 and that contains the point (−9,−7). Write the equation in the form y=mx+b and identify m and b.
Answer:
m = -2 which is the slope
b = 2 which is the intercept of the line.
Step-by-step explanation:
We have that the line must pass through the following points (-9, -7). These two points are any two of the numerous points that pass through the straight line. We can designate variables to each of these points as shown below
Let us take our [tex]y_1 = -7[/tex] and [tex]x_1 = -9[/tex]
Given the slope as [tex](y-y_1)/(x-x_1)=-2[/tex]
[tex](y--7)/(x--9) = -2[/tex]
[tex](y +7)/(x+9) =-2[/tex]
[tex]y +7 = -2(x+9)[/tex]
[tex]y =-2x+2[/tex]
We are given the form: y=mx+b.
we can compare this with our equation for the line. [tex]y =-2x+2[/tex]
We can see that m = -2 which is the slope and b = 2 which is the intercept of the line.
A triangle is placed in a semicircle with a radius of 5 yd, as shown below. Find the area of the shaded region.
Use the value 3.14 forn, and do not round your answer. Be sure to include the correct unit in your answer.
is yd please help
Answer:
14.25 yd^2
Step-by-step explanation:
The triangle area is given by the formula ...
A = 1/2bh
Here, the base is 10 yd, and the height is 5 yd, so ...
triangle area = (1/2)(10 yd)(5 yd) = (5 yd)^2 = 25 yd^2
__
The semicircle is half the area of a circle with radius 5 yd, so its area is ...
semicircle area = (1/2)π(5 yd)^2 = 12.5π yd^2 ≈ 39.25 yd^2
__
The shaded region is the difference between these areas:
shaded area = 39.25 yd^2 -25 yd^2 = 14.25 yd^2