Given:
A polynomial equation with rational coefficients has the roots [tex]5, \sqrt{6}, 3, -\sqrt{7}[/tex].
To find:
The two additional roots.
Solution:
According to the irrational root theorem, if [tex]a+\sqrt{b}[/tex] is a root of a polynomial, then [tex]a-\sqrt{b}[/tex] is also the root of that polynomial.
It is given that, [tex]\sqrt{6}\text{ and }-\sqrt{7}[/tex] are roots of a polynomial.
By using irrational root theorem, [tex]-\sqrt{6}\text{ and }\sqrt{7}[/tex] are also the roots of that polynomial.
Therefore, the two additional roots are [tex]-\sqrt{6}\text{ and }\sqrt{7}[/tex].
Which is closest to the quotient 4,367 divided bye 0.004?
A. 1,000
B. 10,000
C. 100,000
D. 1,000,000
Answer:
6.) 1,000,000
Step-by-step explanation:
Answer:
ye
Step-by-step explanation:
Which triangle makes this statement true?
Answer:
Step-by-step explanation:
The question is kind of confusing but I think the answer is A.
Answer:
C is the correct answer
Step-by-step explanation:
I did this exact one and it was right I hope this helps! Have a good day! :)
Proof:
How many solutions exist for the given equation?
1/2(x+12) = 4x -1
zero
one
two
infinitely many
Answer:
one answer
x = 2
Step-by-step explanation:
Evaluate the formula for distance to solve the problem. Then use the drop-down menus to complete the statements.
Distance = rate times time
During a big race, Jeff races his car at a rate of 125 miles per hour for 3.2 hours. What is the distance of the race?
First, write the
.
Next, use parentheses when you substitute
in for r and
in for t.
Now, simplify by
125 and 3.2.
Jeff raced for a distance of
miles.
Answer:
First, write the
✔ formula: d = rt
.
Next, use parentheses when you substitute
✔ 125
in for r and
✔ 3.2
in for t.
Now, simplify by
✔ multiplying
125 and 3.2.
Jeff raced for a distance of
✔ 400
miles.
Step-by-step explanation:
Jimmy invests $2500 in an account with a 5% interest rate, making no other deposits or withdrawals. What will Jimmy’s account balance be after 8 years if the interest is compounded 6 times each year?
URGENT PLEASE
Answer:
We conclude that the total amount accrued, principal plus interest, from compound interest on an original principal of $2500 at a rate of 5% per year compounded 6 times per year over 8 years is $3723.38.
Step-by-step explanation:
Given
Principle P = $2500
Interest rate r = 5% = 0.05
Time period t = 8 years
To determine
Accrue Amount A = ?
Using the compound interest equation
[tex]A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{nt}[/tex]
where:
A represents the Accrue Amount
P represents the Principal Amount
r represents the interest rate
t represents the time period in years
n represents the number of compounding periods per unit t
Important tip:
Given that the interest is compounded 6 times each year, therefore, the value of n = 6.now substituting P = 2500, r = 0.05, t = 8 and n = 6 in the equation
[tex]A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{nt}[/tex]
[tex]A=2500\left(1+\frac{0.05}{6}\right)^{\left(6\right)\left(8\right)}[/tex]
[tex]\:A=2500\left(1+\frac{0.05}{6}\right)^{48}[/tex]
[tex]A=2500\times 1.48935[/tex] ∵ [tex]\left(1+\frac{0.05}{6}\right)^{48\:\:}=1.48935[/tex]
[tex]A=\:3723.38[/tex] $
Therefore, we conclude that the total amount accrued, principal plus interest, from compound interest on an original principal of $2500 at a rate of 5% per year compounded 6 times per year over 8 years is $3723.38.
answer choices:90ft square inches, 45ft square inches, 80ft square inches
Answer:
CAUSE I FEEL THE BREK FEEL THE BREK FELLLLLLL THE BREKK
Step-by-step explanation:
What does y = 1/3x + 5 look like on a graph?
y=-3x-5
y=4x+30
PLS HELP ASAP
{y,x} = {10,-5}
Step-by-step explanation:
sorry if this dont make sense
solve equation [2] for the variable y
y = 4x +30
plug this in for variable y in equation [1 ]
(4x+30) +3x= -5
solve [1] for the variable x
7x= - 35
x= - 5
by now we know this much
y= 4x+30
x= - 5
use the x value to solve for y
y=4 (-5) + 30 = 10
solution
{y,x} = {10,-5}
Write and equality for an each situation .
Gary has at least 25 blue t shirts
The room can hold no more than 50 people .
Answer:
50-25? so the answer is twenty five?
Step-by-step explanation:
Please help, I beg of y'all
FIND BD -
9514 1404 393
Answer:
14 units
Step-by-step explanation:
The angle bisector divides the sides proportionally.
BD/BA = CD/CA
(x+4)/8 = (2x+1)/12
3(x +4) = 2(2x +1) . . . . . multiply by 24 (the least common denominator)
3x +12 = 4x +2 . . . . . . . eliminate parentheses using the distributive property
12 = x +2 . . . . . . . subtract 3x
10 = x . . . . . . . . . subtract 2
Then the length of BD is ...
BD = x +4
BD = 10 +4 . . . . substitute the value of x
BD = 14
A man with a height of 5ft casts a shadow of 2ft. What will be the height of a tree that casts a shadow of 40ft at the same time?
Answer:
19
Step-by-step explanation:
Answer:
100 ft.
Step-by-step explanation:
Let x = height of tree
height/height = shadow length/shadow length
5/x = 2/40
2x = 200
x = 100 ft.
have to state if the triangles are similar or not.
2. You have to provide the postulate used if similar.
3. You have to complete the similarity statement. 4. You have to support your answers with work.
Answer:
Step-by-step explanation:
10). 1). Both the triangles are not similar.
2). For the similarity of two triangles, corresponding sides of the triangles should be proportional and the included angles should be equal in measure.
Although the angle given is equal but the corresponding sides of the triangles are not proportional, triangles are not similar.
[tex]\frac{UW}{HF}= \frac{UV}{GF}[/tex] (For similar triangles)
[tex]\frac{9}{21}= \frac{18}{42}[/tex]
[tex]\frac{3}{7}=\frac{6}{7}[/tex]
But [tex]\frac{3}{7}\neq \frac{6}{7}[/tex] therefore, both the triangles are not similar.
11). In ΔTUV and ΔCDE,
If the given triangles are similar, their corresponding sides will be proportional and the included angle will be equal in measure.
∠C ≅ ∠T [Given]
[tex]\frac{TU}{CD}= \frac{UV}{DE}[/tex]
[tex]\frac{30}{10}=\frac{27}{9}[/tex]
3 = 3
True.
Therefore, ΔTUV ~ ΔCDE (By SAS postulate of similarity]
The length of what line segment would be multiplied by pi to find the circumference of Circle P?
9514 1404 393
Answer:
QS
Step-by-step explanation:
The circumference is pi times the diameter. The only segment shown that is a diameter is QS.
Please help answer all please thank you
Answer:
The answers are, in order:
1. Isolate
2. substitute
3. variable
Step-by-step explanation:
You're welcome :)
pls help soon reward brainiest
Answer:
x=-6
Step-by-step explanation:
Tito builds a model of the solar system. In his model, the diameter of the sphere representing Jupiter is 7
inches. What is the circumference of a cross section through the center of the model of Jupiter? Use 3.14
for π
Answer:
21.99
Step-by-step explanation:
C = 2 * Pi * (r)
Diameter = 7
Radius = 3.5
Pi
21.99
Omg pls help in my math. It is 6th grade
Answer:
1. You have to shade 38/100 squares
2. You have to shade 65/100 squares
3. 3/5=15/25, 6/10, 9/15
what equation represents the table ?
Answer:
y=x-2
Step-by-step explanation:
we know that y-intercept is -2
y=?x-2
So now we would have to find slope
the slope would be 1
soo that makes the equation would be
y=x-2
I hopes this helps.
Have a good day!!
For the equation: 4x+y=10 what does x equal if y=-6?
Answer:
x = 4
pls mark as brainliest...
Answer:
x=4
Step-by-step explanation:
4x+y=10 then, plug in y
4x+(-6)=10 then, isolate x by adding 6to both sides,
+ 6 +6 then, divide by 4 on each side
4x/4=x
16/4=4
x=4
PLS HELP!!
Which expressions simplify to a rational answer?
Select each correct answer.
Philippe will read One-half of the number of pages that Rafael reads. How many pages will Rafael read?
Answer: I cannot answer it because it needs more details. For ex say how much day he/she needs and how much pages he/she will read.
Step-by-step explanation: Unknown
Enter a digit in each box to complete the division problem.
Please answer i’ll give brainliest
Step-by-step explanation:
2527 is the first line so 5 in the box
then 47 so a 4 in that box
top answer row
315 E7 so a 5 in that box.
please help picture attached
Answer:
triangle B and D
McKenzie earns $15 per lawn mowed she also earned $10 for babysitting she earned 100 total, what does that look like in algebra form? Please help.
Answer:
15a + 10b = 100
Step-by-step explanation:
Given:
Cost of each lawn mowed = $15
Cost of each babysitting = $10
Total money earned = 100
Find:
Algebra form
Computation:
Assume;
Number of lawn mowed = a
Number of babysitting = b
So,
15a + 10b = 100
find an equation of line containing (3, -4) and having slope -2. if this line contains the points (a, 8) and (5, b) find a and b
Answer:
a = -3
b = -8
Step-by-step explanation:
Equation for a line is:
y-coordinate = (slope * x-coordinate) + y-intercept
For (3, -4): -4 = (-2 * 3) + y-intercept
y-intercept = 2
Equation for all points on this line is:
y = -2*x + 2
For (a, 8): 8 = (-2 * a) + 2
For (5, b): b = (-2 * 5) + 2
1. A hammock is suspended between two trees. The curve the hammock makes can be modelled by the equation, y = 0.2x2 – 0.4x – 0.6, where x and y are measured in meters. (Application)
a. What do the x-intercepts tell you?
b. Does the y-intercept have any meaning in this situation.
Answer:
Step-by-step explanation:
Given that:
The modeled equation y = 0.2x² - 0.4x - 0.6
To find x- intercepts
y = 0.2x² - 0.4x - 0.6
y = 0.2(x² - 2x - 3)
y = 0.2(x - 3)(x + 1)
Suppose the upward parabola cuts x axis at x = 3 and x = - 1
Then, the length of the intercepts will be = 3 -(-1)
=4
We can say that the trees will be 4 unit apart.
To find y-intercepts;
y = 0.2(0)² - 0.4(0) -0.6
y = -0.6 meters
Write your own Algebraic expression with four terms that can simplify to 12x+4
Answer:
11x+1x + 2+ 2
Step-by-step explanation:
2
1
X 46
7. Find the m 2 JKL
in rhombus JKLM
Step-by-step explanation:
since KLJ is a parallelogram, it can be split into 2 congruent triangles, as seen above. The angles remain the same, so we know angle KJL is also 25 degrees. Using the triangle angle sum theorem (all sides of a triangle add up to 180 degrees), we can determine the missing angle measure is 25 degrees. It would have been nice if the question told us JKLM was also a rhombus.
I need help with this assignment please help me
Answer:
Step-by-step explanation:
a. 7*7*7= 7 cubed(when we divide powers we subtract them)
Enola surveyed 300 of the students in her school about their favorite color. 78 students said their favorite color was purple. What percentage of the surveyed students said their favorite color was purple?
Answer:
26%
Step-by-step explanation:
I did some simple math here: a percentage represents a number over 100.
To find the percentage, I just divided 78 by 300 and got 0.26
I then multiplied by 100 to get 26%
Hope this helps! Have a great day!