Answer:
5. (8,33) (-1, -21) (5, 15)
6. (-5, 29) (2, 1) (4, -7)
7. (-4, -9) (0, -1) (7, 13)
8. (-9, 0) (1, 8) (5, 4)
Step-by-step explanation:
Since X is given, you plug it into the equations.
Then put the answers into the Y. hope it helps!!
cho f(t)=(t-4)u(t-2)phep bien doi laplace la
F(s)=e^-2s/s^2-2e^-2s/s62
Step-by-step explanation:
cho f(t)=(t-4)u(t-2)phep bien doi laplace la
F(s)=e^-2s/s^2-2e^-2s/s62
When a certain number is divided by 48,72 or 100 the remainder in each case is 3.... Find the number
Answer:
The number is 4875
Step-by-step explanation:
On a map, two mountains are 5 7/8 inches apart. If 1/2 of an inch on the map represents 80 miles, then how many miles apart
Answer:
235 miles
Step-by-step explanation:
80(5 7/8÷ 2)
Determine the sum of the first 19 terms of the following series:
6−12+24−48+
Answer:
6-12
24-48
6-2424-196dirst 6 multiplied by four same next series
Simplify. (x2+2x-4)+(2x-5x-3)
Answer:
Step by Step Solution
More Icon
STEP
1
:
3
Simplify ——
x2
Equation at the end of step
1
:
3
((((2•(x2))-5x)-——)+2x)-3
x2
STEP
2
:
Equation at the end of step
2
:
3
(((2x2 - 5x) - ——) + 2x) - 3
x2
STEP
3
:
Rewriting the whole as an Equivalent Fraction
3.1 Subtracting a fraction from a whole
Rewrite the whole as a fraction using x2 as the denominator :
2x2 - 5x (2x2 - 5x) • x2
2x2 - 5x = ———————— = ———————————————
1 x2
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
STEP
4
:
Pulling out like terms
4.1 Pull out like factors :
2x2 - 5x = x • (2x - 5)
Adding fractions that have a common denominator :
4.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
x • (2x-5) • x2 - (3) 2x4 - 5x3 - 3
————————————————————— = —————————————
x2 x2
Equation at the end of step
4
:
(2x4 - 5x3 - 3)
(——————————————— + 2x) - 3
x2
STEP
5
:
Rewriting the whole as an Equivalent Fraction :
5.1 Adding a whole to a fraction
Rewrite the whole as a fraction using x2 as the denominator :
2x 2x • x2
2x = —— = ———————
1 x2
Polynomial Roots Calculator :
5.2 Find roots (zeroes) of : F(x) = 2x4 - 5x3 - 3
Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F(x)=0
Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers x which can be expressed as the quotient of two integers
What type of number is 37 + 1?
Choose all answers that apply:
Whole number
Integer
Rational
Irrational
help
Answer:
Irrational
Step-by-step explanation:
The constant [tex]\pi[/tex], or "pi", is an irrational mathematic constant that corresponds to a non-terminating (never-ending decimal). Because there are an infinite number of digits in pi, pi cannot be expressed as a fraction and therefore is irrational.
Multiplying or adding a rational number does not make pi rational, and therefore the desired answer is (D) Irrational.
prove that.....cos^2α(cosec^2α-cot^2α)=cos^2α
Step-by-step explanation:
We must prove that
cos²a(csc²a-cot²a) = cos²a
If we look at both sides, we can see that we have cos²a * something = cos²a. Therefore, if we can get that something to equal 1, we have our proof. In this case, that something is csc²a-cot²a. Using this information, we can work from within the parenthesis and go from there.
We can start by expanding the items in the parenthesis. Taking that csc(x) = 1/sin(x) and cot(a) = cos(x)/sin(x), we can say that
cos²a(csc²a-cot²a) = cos²a(1/sin²a - cos²a/sin²a). Because both items in the parenthesis have a denominator of sin²a, we can subtract cos²a from 1 to get
cos²a(1/sin²a - cos²a/sin²a)= cos²a((1-cos²a)/sin²a))
Next, we know that cos²a+sin²a=1, so 1-cos²a = sin²a. Plugging that in, we get
cos²a((1-cos²a)/sin²a)) = cos²a(sin²a/sin²a)
= cos²a(1)
= cos²a
How many roots does the graphed polynomial function have?
A. 1
B. 2
C. 4.
D. 3 I’m
Answer:
3 roots
Step-by-step explanation:
The roots are the values of x on the x- axis where the graph crosses x- axis
The graph crosses the x- axis at 3 points, thus has 3 roots
the sum of the fractions 2/y-3 and 6/y+3 is equal to their
Step-by-step explanation:
Move expression to the left side and change its sign
5
y
−
3
+
10
y
2
−
y
−
6
−
y
y
+
2
=
0
Write
−
y
as a sum or difference
5
y
−
3
+
10
y
2
+
2
y
−
3
y
−
6
−
y
y
+
2
=
0
Factor out
y
and
−
3
from the expression
5
y
−
3
+
10
y
(
y
+
2
)
−
3
(
y
+
2
)
−
y
y
+
2
=
0
Factor out
y
+
2
from the expression
5
y
−
3
+
10
(
y
+
2
)
(
y
−
3
)
−
y
y
+
2
=
0
Write all numerators above the least common denominator
5
(
y
+
2
)
+
10
−
y
(
y
−
3
)
(
y
+
2
)
(
y
−
3
)
=
0
Distribute
5
and
−
y
through the parenthesis
5
y
+
10
+
10
−
y
2
+
3
y
(
y
+
2
)
(
y
−
3
)
=
0
Collect the like terms
8
y
+
20
−
y
2
(
y
+
2
)
(
y
−
3
)
=
0
Use the commutative property to reorder the terms
−
y
2
+
8
y
+
20
(
y
+
2
)
(
y
−
3
)
=
0
Write
8
y
as a sum or difference
−
y
2
+
10
y
−
2
y
+
20
(
y
+
2
)
(
y
−
3
)
=
0
Factor out
−
y
and
−
2
from the expression
−
y
(
y
−
10
)
−
2
(
y
−
10
)
(
y
+
2
)
(
y
−
3
)
=
0
Factor out
−
(
y
−
10
)
from the expression
−
(
y
−
10
)
(
y
+
2
)
(
y
+
2
)
(
y
−
3
)
=
0
Reduce the fraction with
y
+
2
−
y
−
10
y
−
3
=
0
Determine the sign of the fraction
−
y
−
10
y
−
3
=
0
Simplify
10
−
y
y
−
3
=
0
When the quotient of expressions equals
0
, the numerator has to be
0
10
−
y
=
0
Move the constant,
10
, to the right side and change its sign
−
y
=
−
10
Change the signs on both sides of the equation
y
=
10
Check if the solution is in the defined range
y
=
10
,
y
≠
3
,
y
≠
−
2
∴
y
=
10
Answer:
I think "Product" is the answer. Not really sure.
Select the correct answer.
What is the value of x in the figure?
X
400
700
A. 40°
B. 70°
C.80°
D. 120°
E. 150°
Answer: x = 150
Step-by-step explanation:
See the liner pair of angle 70 will be 110 degrees.
Then using angle sum property third angle will be
Third angle = 180 - 150
Third angle of the triangle = 30
Now linear pair of the 30 degree angle
30+x = 180
x = 180-30
x = 150
Therefore answer is option e x = 150.
please click thanks and mark brainliest if you like :)
The measure of the value of angle x is 150°, and the correct option is E
What is the linear pair of angles?Linear pair of angles are formed when two lines intersect each other at a single point.
The angles are said to be linear if they are adjacent to each other after the intersection of the two lines.
BY applying linear pair angles;
[tex]\rm \angle 1+\angle 2=180\\\\70 +\angle 2=180\\\\ \angle 2=180-70\\\\ \angle 2=110\\\\[/tex]
The sum of the three angles is 180.
[tex]\rm \angle 1+\angle 2+ \angle 3=180\\\\ 110+40 +\angle 3=180\\\\150+\angle 3= 180\\\\\angle 3=180-130\\\\\angle 3=30[/tex]
The measure of the value of angle x is;
[tex]\rm 30+x = 180\\\\x = 180-30\\\\x = 150[/tex]
Hence, the measure of the value of angle x is 150°, and the correct option is E.
Learn more about linear pair angles here;
https://brainly.com/question/12743768
#SPJ2
A ski rental service charges a $12.50 initial
flat rate and then an additional $1.00 per
hour. In this situation, what is the value of
the slope?
Answer:
1
Step-by-step explanation:
In this situation, the slope is 1.
This is because the ski rental service charges $1 per hour.
The $12.50 initial flat rate represents the y intercept, while the hourly charge is the slope.
So, the value of the slope is 1.
p->q is false and p is true.
q is
a.true
b.false
Answer:
Choice b. [tex]q[/tex] has to be false.
Step-by-step explanation:
Consider the truth table of [tex]p \implies q[/tex] ([tex]p[/tex] implies [tex]q[/tex]).
[tex]p[/tex] is true and [tex]q[/tex] is true: [tex]p \implies q[/tex] would be true.[tex]p[/tex] is true and [tex]q[/tex] is false: [tex]p \implies q[/tex] would be false.[tex]p[/tex] is false and [tex]q[/tex] is true: [tex]p \implies q[/tex] would be true.[tex]p[/tex] is false and [tex]q[/tex] is false: [tex]p \implies q[/tex] would also be true.The only combination where [tex]p \implies q[/tex] is false is when [tex]p[/tex] is true and [tex]q[/tex] is false. Hence, the [tex]q\![/tex] here must be false.
pls answer quickly before 3:30
I have a/some question(s) for yall,
1. What's the ratio of 30 freshmen to 100 seniors ? as a fraction in simplest form
2.give two equivalent ratios to 1/4
3. Adam has 12 pennies and Selene has 60 pennies whats the ratio of selenes pennies to adams pennies in simplest form?
Answer:
1. 30:100 = 30/100=3/10
2. 2:8, 3:12
3. 60:12 = 5:1 or 5/1
Step-by-step explanation:
Which of the following is true of the angle shown? Question 10 options:
A) The angle is not in standard position.
B) The terminal side of the angle lies in quadrant II.
C) The measure of the angle is greater than 360°.
D) The angle can be measured in radians only.
Answer:
The measure of the angle is greater than 360°.
On a baseball field, the pitcher's mound is 60.5 feet from home plate. During practice, a batter hits a ball 226 feet at an angle
of 39° to the right of the pitcher's mound. An outfielder catches the ball and throws it to the pitcher. Approximately how far does
the outfielder throw the ball?
Answer:
183.0 ft
Step-by-step explanation:
Given:
f(x) = -4x + 2
g(x) = 2x^2 + 4x - 5
Find:(f + g)(x)
Answer:
2x^2-3
Step-by-step explanation:
f(x) = -4x + 2
g(x) = 2x^2 + 4x - 5
(f+g)(x) = -4x + 2+ 2x^2 + 4x - 5
Combine like terms
= 2x^2-4x+4x+2-5
=2x^2-3
Answer:
2x ^ 2 - 3
Step-by-step explanation:
f(x) = -4x + 2
g(x) = 2x ^ 2 + 4x - 5
(f + g)(x) = -4x + 2 + 2x ^ 2 + 4x - 5
= 2x ^ 2 - 4x + 4x + 2 - 5
= 2x ^ 2 - 3
Please help quick! ASAP please!
Answer:
11.55
Step-by-step explanation:
Nêu mệnh đề phủ định của mệnh đề sau và xét tính đúng sai của mệnh đề phủ định: ∀x∈R:x^{2} ≠ 1
Answer:
true
Step-by-step explanation:
[tex]existential \: element \: of \: real \: number \: \binom{o}{o} x {}^{2} = 1[/tex]
1. Which of these is most likely to describe the number of yards lost in a football game?
A. rational number
B. whole number
C. real number
D. integer
Answer:
Step-by-step explanation:
whole number with the occasional jump into rational numbers when a down like 2nd and 5 1/2 to go.
BRAINLIEST graphing question
Answer:
Step-by-step explanation:
cosec^2θ-1/cosec^2θ=cos^2θ
cosec(2t)=1/sin(2t) ==> 1/(2×cos(t)×sin(t))
cos(2t)= 1-2sin²t
or 2cos²t-1
or cos²t - sin²t
after we knew this informations we have to write it in the question
1/2×sint×cost-1/1/2×sint×cost=cos2t
-2×sint×cost+1/2sint×cost/1/2sint×cost=cos2t
the 2sint×cost will gone
-2×sint×cost+1=cos2t
lets take cos2t =1-2sin²t
-2×sint×cost+1=1-2sin²t
-2sint×cost=-2sin²t
cost=sint
that means the t is equal to 45 because sin45 and cos45 equal to √2/2
hopefully i didn't waste your time by reading and not understanding my English is not that good sorry
Answer:
see explanation
Step-by-step explanation:
Using the identities
cosec x = [tex]\frac{1}{sinx}[/tex] , 1 - sin²θ = 1
Consider the left side
[tex]\frac{cosec^20-1}{cosec^20}[/tex]
= [tex]\frac{\frac{1}{sin^20}-\frac{sin^20}{sin^20} }{\frac{1}{sin^20} }[/tex]
= ( [tex]\frac{1}{sin^20}-\frac{sin^20}{sin^20}[/tex] ) × [tex]\frac{sin^20}{1}[/tex] ← distribute parenthesis by sin²θ
= 1 - sin²θ
= cos²θ
= right side, thus proven
hello, can i please get some please on this one ASAP! i will mark as BRAINLIEST!!
Answer:
[tex](x+6)(x-6)[/tex]
Step-by-step explanation:
Hi there!
The difference of squares theorem states that [tex]a^2-b^2=(a+b)(a-b)[/tex].
We're given:
[tex]x^2-36[/tex]
This can be rewritten since 36 is a perfect square:
[tex]=x^2-6^2[/tex]
Use the difference of squares theorem:
[tex]=(x+6)(x-6)[/tex]
I hope this helps!
Answer:
(x-6)(x+6)
Step-by-step explanation:
x^2 -36
Rewriting
x^2 - 6^2
We know a^2 - b^2 = (a-b)(a+b)
(x-6)(x+6)
8 to the power of 6 divided by 8 to the power of 2
PLZ HELP ASAP WILL MARK BRAINLIEST
Answer:
4096
Step-by-step explanation:
8^6÷8^2
First step is to solve the exponents
8 to the power of 6 is 262144
8 to the power of 2 is 64
Then divide 262144 by 64 : 4096
Answer:
it is a law of axponent that is a to the power m divided by a to the power n = a to the power m-n
so 8 to the power 6-2
= 8 to the power 4
that will be 4,096
Table 8 shows the values of two variables, x and y, obtained from an experiment. Variables x and y are related by the equation y = a(1-6), where a and b are constants. Jadual 8 menunjukkan nilai-nilai bagi dua pembolehubah, x dan y, yang diperoleh daripada suatu eksperimen. Pembolehubah x dan y dihubungkan oleh persamaan y=a(1-6)", dengan keadaan a dan b ialah pemalar 1 2 3 4 5 2.19 3.61 y 5.50 8.32 12.51 20.42 Table 8 Jadual 8 (a) Based on Table 8, construct a table for the values of log.ny. Berdasarkan Jadual 8, bina satu jadual bagi nilai-nilai logo y. [1 mark] [1 markah] (6) Plot logio y against x, using a scale of 2 cm to 1 unit on the x-axis and 2 em to 0.2 unit on the logo y -axis. Hence, draw the line of best fit [3 marks]
Answer:
TABLE 8
Step-by-step explanation:
Viết phương trình đường thẳng biết
a) vuông góc với đường thẳng x+2y=1 và đi qua A(1;2)
b) đi qua gốc toạ độ và đi qua điểm M (-1;3)
Answer:
Step-by-step explanation:
a) 2x - y = 0
Using the intercept method, what are the two points to plot when graphing the line x + 3y = 6?
Answer:
The Slope-Intercept Form is essentially a special case of the Point-Slope Form. It's said that two points determine a line. That truism is used to quickly sketch a line if its equation is given in the Two Intercept-Form ax + by = c. We get the y-intercept by setting x = 0 and solving for y: by = c, y = c b .
Step-by-step explanation:
plzzz make brainlist and follow
Answer:
(0,2) and (6,0)
Step-by-step explanation:
y-intercept, x=0
0+3y=6
y=2
x-intercept, y=0
x=6
What are the coordinates of the point on the directed line segment from (−5,−9) to (-1, 7) that partitions the segment into a ratio of 5 to 3?
Answer:
(-2.5,1)
Step-by-step explanation:
Let the point be (m, n). Using section formula we have
m=(5*(-1)+3*(-5))/(5+3)=-20/8=-2.5
n=(5*(7)+3*(-9))/(5+3)=1
Compare the value of the following expression with zero. 5a^3b^2/a+b, where a<0, b<0
Answer:
The given expression will be greater than zero.
Step-by-step explanation:
If a < 0 and b < 0, then 5a^3 is < 0 (5a^3) is negative;
but b^2 is > 0.
Then (5a^3)*(b^2) < 0
and if we divide this quantity by a + b (which is negative), the end result will be > 0.
What would your position on the circle (cos q, sin q) be after rotating 72degrees from the point (1,0)?
A=(.97, .25)
B=(.31, .95)
C=(.95, .31)
D=(.25, .97)
Answer:
B=(.31, .95)
Step-by-step explanation:
When your at the point (1,0) you are at 0 degrees (cos 0, sen 0) = (1,0).
So at 72 degrees you moved 72 degrees (cos 72, sin 72) = (.31, .95)
