Answer:
x = 3, −10
Step-by-step explanation:
The roots (zeros) are the x values where the graph intersects the x-axis. To find the roots (zeros), replace y with 0 and solve for x.
Which statement correctly uses limits to determine an asymptote of g(x)?
Answer:
Step-by-step explanation:
When a limit has the x value approaching infinity, we are talking about end behavior of functions which implies horizontal asymptotes. As x approaches both positive and negative infinity, the tails of each branch of this function approaches 0; therefore, the correct choice for this the third one down.
Answer: c
Step-by-step explanation: got it right
X-2y=5 2x-4y=10
Put both equations in slope-intercept form
Solve the systems of equations by substitution
Solve the systems of equations by graphing
ONE HUNDRED POINTS HURRY
Step-by-step explanation:
X-2y=5 ; 2x-4y=10
• x - 2y = 5 • 2x -4y = 10
-2y = -x+5 -4y= -2x +10
y1 = ½x - 5/2 y2 = ½x -5/2
• => y1 = y2
½x -5/2 = ½x -5/2
the systems have no solution
• graph as attached
Answer:
[tex]\textsf{Equation 1}: \quad y=\dfrac{1}{2}x-\dfrac{5}{2}[/tex]
[tex]\textsf{Equation 2}: \quad y=\dfrac{1}{2}x-\dfrac{5}{2}[/tex]
True for all x (infinitely many solutions)
Step-by-step explanation:
Slope-intercept form of a linear equation:
[tex]y = mx + b[/tex]
(where m is the slope and b is the y-intercept)
Given equations:
[tex]\begin{cases}x-2y=5\\2x-4y=10\end{cases}[/tex]
To put both equations in slope-intercept form, rearrange both equations to make y the subject:
Equation 1
[tex]\implies x-2y=5[/tex]
[tex]\implies x-2y+2y=5+2y[/tex]
[tex]\implies x=5+2y[/tex]
[tex]\implies x-5=5+2y-5[/tex]
[tex]\implies 2y=x-5[/tex]
[tex]\implies 2y \div 2=(x-5) \div 2[/tex]
[tex]\implies y=\dfrac{1}{2}x-\dfrac{5}{2}[/tex]
Equation 2
[tex]\implies 2x-4y=10[/tex]
[tex]\implies 2x-4y+4y=10+4y[/tex]
[tex]\implies 2x=10+4y[/tex]
[tex]\implies 2x-10=10+4y-10[/tex]
[tex]\implies 4y=2x-10[/tex]
[tex]\implies 4y \div 4=(2x-10) \div 4[/tex]
[tex]\implies y=\dfrac{1}{2}x-\dfrac{5}{2}[/tex]
Therefore, both equations are the same as they have the same slope and y-intercept.
As both equations are the same, this system of equations is called an equivalent system.
To solve a system of equations by substitution, substitute one equation into the other:
[tex]\implies \dfrac{1}{2}x-\dfrac{5}{2}= \dfrac{1}{2}x-\dfrac{5}{2}[/tex]
As both sides are equal, the solution is true for all x.
The solution to a graphed system of equations is the point(s) of intersection.
When graphing the given system of equations, as the lines are the same, they will be on top of each other. They are called coincident lines and have infinitely many solutions since the lines have the same slope and same y-intercept.
Learn more about systems of equations here:
https://brainly.com/question/21447811
https://brainly.com/question/27357423
change x-2y=4 into slope-intercept form.
Answer:
y = (1/2)x - 2
Step-by-step explanation:
Slope intercept form: y = mx + c
x - 2y = 4
-2y = -x + 4
[tex]\frac{-2y}{-2}=\frac{-x}{-2}+\frac{4}{-2}\\\\y = \frac{1}{2}x - 2[/tex]
Find the length of arc AB with an angle measure of 15 degrees and radius of 10 cm. Round to the nearest hundredth place if you get a continuous decimal when dividing with 360 degrees.
Answer:
AB ≈ 2.62 cm
Step-by-step explanation:
The arc AB is calculated as
AB = circumference of circle × fraction of circle
= 2πr × [tex]\frac{15}{360}[/tex]
= 2π × 10 × [tex]\frac{1}{24}[/tex]
= [tex]\frac{20\pi }{24}[/tex]
≈ 2.62 cm ( to the nearest hundredth )
Find the volume of a pyramid with a square base, where the side length of the base is 17 in and the height of the pyramid is 9 in. Round your answer to the nearest tenth of a cubic inch.
Answer:
The volume of the pyramid is 867 inch^3
Step-by-step explanation:
Here in this question, we are interested in calculating the volume of a square based pyramid.
Mathematically, we can use the formula below to calculate the volume V of a square based pyramid.
V = a^2h/3
where a represents the length of the side of the square and h is the height of the pyramid
From the question, the length of the side of the square is 17 in while the height is 9 in
Plugging these values, we have ;
V = (17^2 * 9)/3 = 17^2 * 3 = 867 cubic inch
y’all i’m stuck help me
======================================================
Explanation:
Think of 25 as 25/1 and 5 as 5/1
Choice E is really saying [tex]\frac{25}{1} \div \frac{5}{1}[/tex] which becomes [tex]\frac{25}{1} \times \frac{1}{5}[/tex]. Note the second fraction flips and we change to a multiplication sign.
------------
Or you could think of it like this:
[tex]25 \times \frac{1}{5} = \frac{25}{1} \times \frac{1}{5} = \frac{25*1}{1*5} = \frac{25}{5} = 25 \div 5[/tex]
to help see why the answer is E.
Answer:
E
Step-by-step explanation:
Where do the negatives go on a fraction? Are they allowed to go on the numerator? And what does it mean when this happens?
5
- ——-
2
write the equation of a circle that has a center of (-2,1) and a radius 3
The answer:
(x+2)²+(y–1)²=9
[tex]\frac{3}{4}- \frac{2}{3}[/tex]
Answer:
[tex]\frac{1}{12}[/tex]
Step-by-step explanation:
We require the fractions to have the same common denominator
The LCM of 4 and 3 is 12 , then
[tex]\frac{3(3)}{4(3)}[/tex] - [tex]\frac{2(4)}{3(4)}[/tex]
= [tex]\frac{9}{12}[/tex] - [tex]\frac{8}{12}[/tex]
= [tex]\frac{1}{12}[/tex]
WILL GIVE BRAINLIEST!! YOU MUST SHOW YOUR WORK! THANKS!
Jonathan is building a circular pond attached to a corner of his house. He wants to put bricks around the entire pond, including the sides that are against the house. The radius of the pond is 6ft.
Approximately how many feet of bricks does Jonathan need for the border of his pond? (Use 3.14 as an estimate for...I can’t put the sign....)
A. 28.26 ft
B. 30.84 ft
C. 37.68 ft
D. 40.26 ft
E. 46.68 ft
The formula for the circumference of a circle is 2 x 3.14 x radius
2 x 3.14 x 6 = 37.68
What is 2 of 1,800,000÷3?
Answer:
Of is a keyword for multiplication.
So, your equation is really 2 X 1,800,000÷3=?
Final answer: 1,200,000
Step-by-step explanation:
Hope that this helps! :)
Have a great rest of your day/night!
pliss solve and give evidence
Answer:
4f + 3g
Step-by-step explanation:
g + 3f + f + g + g
3f + f = 4f
g + g = 2g + g = 3g
4f + 3g
What is L x W X H mean
Answer:
lincth times with times hight
Step-by-step explanation:
if -1 is a zero of polynomial ax^²-x²+x+4, find the value of a
Answer:
a = -2
Step-by-step explanation:
Given that,
-1 is a zero of the polynomial. i.e. x = -1.
The polynomial is :
p(x) = ax²-x²+x+4
We need to find the value of a.
Put x = -1 in the above polynomial.
p(1) = a(-1)²-(-1)²+(-1)+4
For zeroes,
p(1) = 0
a(-1)²-(-1)²+(-1)+4 = 0
a-1-1+4 = 0
a = -2
So, the value of a is equal to -2.
What is the answer for this question (What does the equation 100+0.05p=0.25p represent?)
Answer:
100+0.30p
hope this helps
have a good day :)
Step-by-step explanation:
Are complementary angles adjacent?
A) Always
B) Sometimes
C) Never
Answer:
Always
Assumption:
At least how I know it.
can you answere this please? i will give brainleyest
Step-by-step explanation:
Bestie there is nothing attached
Which is greater 5.97 or 5.946????
Answer:
5.97
Step-by-step explanation:
Answer:
5.97
Step-by-step explanation:
5.946 = 5.94
5.97>5.94
Find all the zeroes of 2x⁴-3x³-3x²+6x-2, if you know that two of its zeroes are √2 and -√2.
Answer:
nose es algo q no se puede saber
40 points
hey whats the answer
pls show step explanation
Answer:.
Answer:1.we have dividend =divisor*quotient+remainder=
(x²+2x-1)(x²-2x+1)+(-4x+1)
=x²(x²-2x+1)+2x(x²-2x+1)-1(x²-2x+1)-4x+1
=x⁴-2x³+x²+2x³-4x²+2x-x²+2x-1-4x+1
=x⁴-4x²
Dividend is x⁴-4x².
2.
Multiplier is a-a²+1.
Answer:
[tex]i \: hope \: the \: above \: picture \\ helps[/tex]
[tex]have \: a \: nice \: day \: [/tex]
[tex]#Liliflim[/tex]
pls help someone !!!!!!!
Answer:
Has a slope of [tex]\frac{3}{4}[/tex] and passes through the point (0,1)
Step-by-step explanation:
We can eliminate half the answer choices by finding whether the line passes through (1,0) or (0,1). Coordinates are read as (x,y), therefore the line passes through (0,1). The slope of the line y=x has a slope of 1. Looking at the graph, we can see that the increasing interval of the line is tilted down ever so slightly, therefore the slope must be less than one.
Therefore, the answer is has a slope of [tex]\frac{3}{4}[/tex] and passes through the point (0,1).
Answer:
Its C, or the third option.
Step-by-step explanation:
Rise/run on this graph is 3/4
and y-intercept is (0, 1)
so C, or third option is correct.
I need help with these
Find the exact value of sin (8x) cos (3x) – cos (8x) sin (3x).
Answer:
answer is 11 x
Step-by-step explanation:
Mark brainliest
Please help me Im confused on this problem
Answer:
b = 6 sqrt(2)
Step-by-step explanation:
Since this is right triangle, we can use the Pythagorean theorem
a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse
3^2 + b^2 = 9^2
9+b^2 = 81
b^2 = 81-9
b^2 = 72
Take the square root of each side
sqrt(b^2) = sqrt(72)
b = sqrt(36*2)
b = 6 sqrt(2)
4. Given point A (3, 8) and point B (-5, 1). Find the following:
a.) The coordinates of the midpoint of segment AB. Write your answer in this form: (x, y) (7 points)
b.) Using the distance formula, find the length of segment AB. Round to the nearest hundredth. (7 points)
c.) Find the slope of segment AB. (if your answer is a fraction, use the "/" symbol) (7 points)
Answer:
a) (-1,4.5)
b)10.63 units
c)7/8
Step-by-step explanation:
a) To find this, we use the midpoint formula
(x,y) = (x1 + x2)/2 , (y1 + y2)/2
(x1,y1) = (3,8)
(x2,y2) = (-5,1)
(x,y) = (3 -5)/2 , (8 + 1)/2 = (-1, 4.5)
b) To calculate the distance D between two points, we use the formula;
D = √(x2-x1)^2 + (y2-y1)^2
D = √(-5-3)^2 + (1-8)^2
D = √(-8)^2 + (-7)^2
D = √64 + 49
D = √113
D = 10.63 units
C) We use the slope formula here
m = (y2-y1)/(x2-x1)
m = (1-8)/(-5-3) = -7/-8 = 7/8
can someone please help me find f
The number of hours that each of 6 students spent reading last week is shown in the bar graph below. For the data in the bar graph, which measure is the LEAST? *
1 point
Captionless Image
Another identity problem...
Answer:
cot(x)=-sqrt(3)/3
Step-by-step explanation:
I'm going to use the Pythagorean Identity sin^2(x)+cos^2(x)=1 to find the sine value since cotangent value is the cosine value over sine value.
Plug in:
sin^2(x)+(-1/2)^2=1
Simplify:
sin^2(x)+1/4=1
Subtract 1/4 on both sidea:
sin^2(x)=3/4
Square root both sides:
sin(x)=sqrt(3)/2. [Sine is positive since x is in 2nd quadrant]
cot(x)=(-1/2)/(sqrt(3)/2))
cot(x)=-1/sqrt(3)
Rationalize denominator by multiplying by sqrt(3)/sqrt(3):
cot(x)=-sqrt(3)/3
cot(x)=
Help pls
Bshdndbrjdhbdbdhdjd
Answer:
just function A
A is, for every 2x (2 steps) the value of y increased linearly by 2.5
B isn't, for every 10x (10 steps), the increase of y varies
Marking brainliest
Please help!
Answer:
[tex]AB\approx 24.22[/tex]
Step-by-step explanation:
In any right triangle, the sine of an angle is equal to its opposite side divided by the hypotenuse of the triangle.
In this case, in order to form the ratio, we're looking for the angle to the bottom right of the triangle. Notice how this angle is the supplement to the angle marked [tex]130.8^{\circ}[/tex]. Since the two angles form one side of the line, we can solve for this angle.
Let's call the angle [tex]\theta[/tex]:
[tex]130.8+\theta=180,\\\theta=49.2^{\circ}[/tex]
From basic. trig for right triangles (refer to first paragraph in answer):
[tex]\sin 49.2^{\circ}=\frac{AB}{32},\\AB=32\sin 49.2^{\circ}=24.2238417809\approx \boxed{24.22}[/tex]