(7x^2-2) - (2x^2 - 5x + 3)
Answer:
5(x^2+x-1)
Is the discriminant of f positive, zero, or negative ?
Answer:
Negative
Step-by-step explanation:
A quadratic that does not touch the x-axis always has a negative discriminant.
positive
Step-by-step explanation:[tex]As\ shown\ in\ the\ figure[/tex]
[tex]when\ g(x)=0,\ have\ 2\ real\ roots\ (b^2-4ac > 0,\ \ have\ 2\ real\ roots)[/tex]
[tex]So\ the\ discriminant\ of\ g\ positive[/tex]
I hope this helps you
:)
hi can u guys help me thank u and its worth 50 points :)
Answer:
The answer is the second option
Step-by-step explanation:
because the first two numbers 3 and 4 are a and b on a triangle and 6 is the hypothos
1) Which number is IRRATIONAL?
A) 4
B) 16
C) 32
D) 64
Answer:
[tex]\sqrt{32}[/tex]
Step-by-step explanation:
The square root of 4 is 2.
The square root of 16 is 4.
The square root of 32 is 5.65685425.
The square root of 64 is 8.
Therefore [tex]\sqrt{32}[/tex] is irrational.
Hope this helped! :)
x=(a+b)/2 solve for a
Answer:
a=2x-b
Step-by-step explanation:
[tex]x=\frac{a+b}{2}\\\\\frac{a+b}{2} = x\\ a+b = 2x\\a= 2x-b\\[/tex]
How do you do this question?
Answer:
None of the above
Step-by-step explanation:
According to the divergence test, if the limit of a sequence as n approaches infinity does not equal 0, then the series diverges. (Notice that if the limit does equal 0, the series doesn't necessarily converge).
According to the geometric series test, a geometric series converges if -1 < r < 1, and diverges otherwise.
The first series is a geometric series with r = -5/3. So it diverges.
The second series is also a geometric series:
3ⁿ⁻¹ / 2ⁿ = ⅓ (3ⁿ / 2ⁿ) = ⅓ (3/2)ⁿ
r = 3/2, so it diverges.
For the third series, the limit as n approaches infinity equals 1. This fails the divergence test, so this series also diverges.
For the fourth series, the limit as n approaches infinity equals 1. This fails the divergence test, so this series also diverges.
One of the angle measures of a right triangle is 36°. Which of the following is the measure of one of the other two angles of the triangle?
Answer:
54
Step-by-step explanation:
90°-36°=54°
Or
x+36+90=180°
x=180-126
x=54
Hope that helped! :)
A jar containing 12 brown M&Ms and five yellow M&Ms what is the ratio of yellow M&Ms to brown M&Ms
Answer:
5:12
Step-by-step explanation:
you can't simplify your answer so it will be
5:12
simplify the expression 14x^-2 for x is 7
9514 1404 393
Answer:
2/7
Step-by-step explanation:
Put the number where x is and do the arithmetic.
[tex]14x^{-2}=\dfrac{14}{x^2}=\dfrac{14}{7^2}=\dfrac{7\cdot2}{7\cdot7}=\boxed{\dfrac{2}{7}}[/tex]
Which value of x makes 7+5(×-3)=22
Answer:
x=6
Step-by-step explanation:
7+5(×-3)=22
expand the brackets:
7 + 5x - 15 = 22
simplify:
5x - 8 = 22
add 8 to both sides:
5x = 30
divide both sides by 5
x = 6
hope this helps
brainliest plz?
x
Answer:
7+5 (x-3)=22
7+5x-15=22
5x+ -8=22
5x=30
x=6
Step-by-step explanation:
PEMDAS
First distribute in the parentheses
Then add like terms together
once you have -8, add it on both sides
then divide 5 from both sides to leave the unknown variable by itself
Finally you have the answer
I hope this helps! :)
When played, the middle C key on a piano has a frequency of 262 cycles per second.
What sine function represents this note when it is graphed with an amplitude of 0.5 unit?
Let x represent the number of seconds.
Enter your exact answer in the box.
f(x) =
Answer:
[tex]\displaystyle y = \frac{1}{2}sin\:524\pi{x}[/tex]
Step-by-step explanation:
[tex]\displaystyle \boxed{y = \frac{1}{2}cos\:(524\pi{x} - \frac{\pi}{2})} \\ \\ y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 0 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{\frac{1}{1048}} \hookrightarrow \frac{\frac{\pi}{2}}{524\pi} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{\frac{1}{262}} \hookrightarrow \frac{2}{524\pi}\pi \\ Amplitude \hookrightarrow \frac{1}{2}[/tex]
OR
[tex]\displaystyle y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 0 \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{\frac{1}{262}} \hookrightarrow \frac{2}{524\pi}\pi \\ Amplitude \hookrightarrow \frac{1}{2}[/tex]
You will need the above information to help you interpret the graph. First off, keep in mind that although the exercise told you to write the sine equation based on the speculations it gave you, if you plan on writing your equation as a function of cosine, then there WILL be a horisontal shift, meaning that a C-term will be involved. As you can see, the photograph on the right displays the trigonometric graph of [tex]\displaystyle y = \frac{1}{2}cos\:524\pi{x},[/tex]in which you need to replase "sine" with "cosine", then figure out the appropriate C-term that will make the graph horisontally shift and map onto the sine graph [photograph on the left], accourding to the horisontal shift formula above. Also keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must be careful with your calculations. So, between the two photographs, we can tell that the cosine graph [photograph on the right] is shifted [tex]\displaystyle \frac{1}{1048}\:unit[/tex]to the left, which means that in order to match the sine graph [photograph on the left], we need to shift the graph FORWARD [tex]\displaystyle \frac{1}{1048}\:unit,[/tex]which means the C-term will be positive, and by perfourming your calculations, you will arrive at [tex]\displaystyle \boxed{\frac{1}{1048}} = \frac{\frac{\pi}{2}}{524\pi}.[/tex]So, the cosine graph of the sine graph, accourding to the horisontal shift, is [tex]\displaystyle y = \frac{1}{2}cos\:(524\pi{x} - \frac{\pi}{2}).[/tex]Now, with all that being said, in this case, sinse you ONLY have the exercise to wourk with, take a look at the above information next to [tex]\displaystyle Wavelength\:[Period].[/tex]It displays the formula on how to define each wavelength of the graph. You just need to remember that the B-term has [tex]\displaystyle \pi[/tex]in it as well, meaning both of them strike each other out, leaving you with just a fraction. Now, the amplitude is obvious to figure out because it is the A-term, so this is self-explanatory. The midline is the centre of your graph, also known as the vertical shift, which in this case the centre is at [tex]\displaystyle y = 0,[/tex]in which each crest is extended one-half unit beyond the midline, hence, your amplitude. So, no matter what the vertical shift is, that will ALWAYS be the equation of the midline, and if viewed from a graph, no matter how far it shifts vertically, the midline will ALWAYS follow.
I am delighted to assist you at any time.
If x represent the number of seconds then the function is f(x)=0.5sin(52π(x))
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
Given that the middle C key on a piano has a frequency of 262 cycles per second.
Frequency = 262
It has an amplitude of 0.5 unit
Amplitude = 0.5
We have to find the function.
y=Asin(2πf(x))
A is amplitude and f is the function.
y=0.5sin(2π262(x))
y=0.5sin(52π(x))
Hence, if x represent the number of seconds then the function is f(x)=0.5sin(52π(x))
To learn more on trigonometry click:
https://brainly.com/question/25122835
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A forest covers 42,000 acres. A survey finds that 0.7 % of the forest is old-growth trees. How many acres of old-growth trees are there?
Answer:
6,000,000
Explanation:
42,000 acres is the area you get after you multiply the number of acres of old-growth trees by 0.7%. So you would divide 42,000 by 0.7% to get the number of acres of old-growth trees.
# of acres of old-growth trees * 0.7% = 42,000
# of acres of old-growth trees = 42,000/0.7%
# of acres of old-growth trees = 6,000,000
PS. 0.7% = 0.007
Heeeeeeeeeelllppppppp
Answer:
C
Step-by-step explanation:
Reflect over y axis translation down & left.
Plz Answer fast
Using the order of operations, what should be done first to evaluate (-2)³ + 4 ÷ (-15 + 9)(3) - 4?
A) Add -15 and 9.
B) Divide 4 by -15.
C) Subtract 4 from 3.
D) Multiply 9 by 3.
Answer:
the answer is A
Step-by-step explanation:
please make me brainliest
Can someone explain how to do this, I don't need a direct answer I just need an explanation.
Answer:
m[tex]\angle[/tex]STW = 40° m[tex]\angle[/tex] TSV = 140°Step-by-step explanation:
Here it is given that ,l ines PV , QW and RX are parallel .That is ,
[tex]\longrightarrow PV \ || \ QW \ || RX [/tex]
And we would like to find out the value of ,
[tex]\longrightarrow m\angle STW \ \& \ \angle TSV [/tex]
As we know that when a transversal intersects two parallel lines then ,
Corresponding angles are equal .Also this is used as an axiom to prove that two lines are parallel .The sum of co- interior angles is 180° .Here ,
[tex]\angle STW [/tex] and [tex]\angle TUX [/tex] are corresponding angles .So they must be equal.
[tex]\longrightarrow x = 2y \dots (i)[/tex]
Again here [tex]\angle VST[/tex] and [tex]\angle STW[/tex] are co- interior angles. So ,
[tex]\longrightarrow x + (x +5y) = 180^o \dots (ii) [/tex]
Substitute the value from equation (i) into (ii) ,
[tex]\longrightarrow 2y + 2y +5y =180^o \\[/tex]
[tex]\longrightarrow 9y = 180^o\\[/tex]
[tex]\longrightarrow y =\dfrac{180^o}{9}\\[/tex]
[tex]\longrightarrow y = 20^o [/tex]
[tex]\rule{200}4[/tex]
Therefore , we may find out the required angles as ,
[tex]\longrightarrow m\angle STW = x \\ [/tex]
[tex]\longrightarrow m\angle STW = 2y\\ [/tex]
[tex]\longrightarrow m\angle STW = 2(20^o)\\ [/tex]
[tex]\longrightarrow \underline{\underline{m\angle STW = 40^o}} [/tex]
[tex]\rule{200}4[/tex]
Again ,
[tex]\longrightarrow m\angle TSV = x + 5y \\ [/tex]
[tex]\longrightarrow m\angle TSV = 40^o 5(20^o)\\[/tex]
[tex]\longrightarrow m\angle TSV = 40^o + 100^o\\ [/tex]
[tex]\longrightarrow \underline{\underline{ m\angle TSV = 140^o }} [/tex]
And we are done!
[tex]\rule{200}4[/tex]
If Mike has m pencils and Jen has three times as many pencils as Mike, how many more pencils does Jen have?
Answer:
If Sarah has three times as many pencils as Mike she has 3 times the number of pencils Mike has which is equivalent to 3 * m. That means Mike has m pencils and Sarah has 3m pencils. they have m + 3m pencils. The expression would be total: m + 3m.
Step-by-step explanation:
Lo necesito para hoy porfa ¿25/10 en decimal?
Find the value of cos theta for the angle shown.
Answer:
Step-by-step explanation:
X = 4,0
hypotenuse = sqrt(4^2 + (-sqrt(33))^2 )
hypotenuse = sqrt(16 + 33)
hypotenuse = sqrt(49)
hypotenuse = 7
Cos(theta) = 4/ 7
The cos looks like it should be negative, but it is positive in quad 4.
Which statement accurately describes the graph 2y=4x+8?
A
an increasing line that passes through (0, 4)
B
a decreasing line that passes through (0, 0)
C
an increasing line that passes through (0, 8)
D
a decreasing line that passes through (0, 2)
By rewriting the linear function we will see that the correct option is A.
"an increasing line that passes through (0, 4)"
Which statement describes the graph?
Here we have the linear function:
2y = 4x + 8
We can rewrite it to get the function in the slope-intercept form:
y = (4x + 8)/2
y = 2x + 4.
So, the slope is positive, this implies that we will have an increasing line.
We also can see that the y-intecept is 4, this means that the line passes through the point (0, 4).
From that, we can conclude that the correct option is A.
If you want to learn more about linear functions, you can read:
https://brainly.com/question/4025726
There are 300 seeds in a packet of flower seeds.
Each seed will grow into a white flower or a yellow flower or a red flower.
The probability of a seed growing into a white flower is 0.62
45 of the seeds are expected to grow into yellow flowers.
One of the seeds is chosen at random from the packet.
What is the probability that this seed will grow into a red flower?
(3 marks)
Answer:
.23
Step-by-step explanatio
45 of the seeds will be yellow. So the probability of a yellow flower is
45/300 = .15
Total probability = probability of white + probability of yellow + probability of red
or
1 = P(W) + P(Y) + P(R)
we know P(W) = .62. So let x = probability of a red flower
1 = .62 + .15 + x
1 = .77 + x
x = .23
in a car race feild(round track that is 500m diameter an observer was starting point and the race started a red car finished 5 laps in 30 minutes write a sin function to determine the distance between the observer and the red car at the minute graph the function.
Answer:
Distance between the observer and the red car is [tex]250 Sin \frac{\pi}{3}t[/tex]
Step-by-step explanation:
Diameter of field = 500 m
Radius of field =[tex]\frac{Diameter}{2}=\frac{500}{2}=250 m[/tex]
Let R be the radius and the speed at which the car completes race be w
So,[tex]w=\frac{2\pi}{T}[/tex]
Car finished 5 laps in minutes = 30
Car finished 1 lap in minutes = [tex]\frac{30}{5}=6[/tex]
So, [tex]w=\frac{2\pi}{6}=\frac{\pi}{3}[/tex]
Refer the attached figure
Angle between car and observer = wt
So, Distance between the observer and the red car is give as A sin wt
So, Distance between the observer and the red car=[tex]250 Sin \frac{\pi}{3}t[/tex]
The ratio of boys to girls at a movie is 4:7 . If there are 21 girls, how many boys are at the movie?
Answer:
12 boys
Step-by-step explanation:
i took the 7 that represents the girls and multiplied by 3 to get 21 (how many girls are there)
So then i took 4 multiplied 3 and thats how i got the answer 12 (brainllist Plz!)
Please help if you can
Answer:
B
Step-by-step explanation:
the values of t from the table are 7 times the corresponding values of s , so
t = 7s
Write 689,802,473 in numerals
Step-by-step explanation:
Tulis 689.802.473 dalam angka
six hundred eighty nine million eight hundred two four hundred and seventy three
sorry if wrong
The length of a rectangle is 5 less than twice it’s width.The perimeter is 26 meters.Find the dimensions of the rectangle.
Let l be the symbol for length
Let w be the symbol for width
[tex]l = 2w - 5[/tex]
Our first equation is built according to the given that the length is twice the width subtracted by 5
Our second equation is built on the definition of perimeter. A perimeter is the sum of all sides of a polygon. A rectangle has 4 sides (2 lengths and 2 widths)
So the perimeter of a rectangle is=l+l+w+w=2l+2w
[tex]2l + 2w = 26[/tex]
This will be our second equation;
I can make a system of equations of 2 unknowns using my 2 equations;
[tex]2l + 2w = 26[/tex]
[tex]l -2w = - 5[/tex]
Add the two systems together by adding everything that is before the equal sign together and everything after it together.
[tex]2l + l + 2w - 2w = 26 - 5[/tex]
[tex]3l = 21[/tex]
[tex]l = \frac{21}{3} = 7 \: meters[/tex]
To find the width substitute L=7 in any equation;
[tex]l = 2w - 5[/tex]
[tex]7 = 2w - 5[/tex]
[tex]7 + 5 = 2w[/tex]
12=2w
w=12/2=6
The app is bugging, the width is 6 meters and the length is 7 meters
To find the value of an expression is to what?
A) Variable
B) squared
C) evaluate
D) algebra
Answer:
evaluate
Step-by-step explanation:
um duh
but I hope I helped in some way
PLS HELP
What type of graph should be used to show weight change over 6 months? _____
A. Line graph
B. Bar graph
C. Pie chart
D. Both A and C
Answer:
Bar graph
Step-by-step explanation:
Hopes this helps
Which graph shows the amount of money in purse A?
Need help I’m stuck on 4 of these
Answer:
a^8/b^12 --> a.k.a answer d
Step-by-step explanation:
when there's an exponent outside of a parenthesis of exponents inside, you're basically just going to multiply them together. not add or anything
2 * 4 = 8
3 * 4 = 12
and we cant divide or do anything else with the product b/c a and b are both different variables and we don't know what they are
Three more than "n" is no more than -8.
Pls Help
Answer:
n + 3 ≤ -8
Step-by-step explanation:
"three more than n" means n + 3" is no more than n" means less than or equal to, so this symbol: ≤"-8" just means -8n + 3 ≤ -8Answer: n + 3 is greater than or less than to -8
The symbol ≤ means less than or equal to.
I hope this helped remember any number that has a negative combined with a positive depending on the number it will rise or fall. In this matter we are adding a positive to a negative so the number gets closer to 0.
Denny bought a boquet f 20 flowers that cost $12 Roses cost $0.75 each Carnatons cost $0.50 each how many roses(r) and how many carnations(c) are in denny's bouget?
r+c=20
0.75r+0.5c=12
Answer:
Highest common factor of 63 and 45 is 9.
Therefore there can be 9 bouquets each with 5 roses and 7 carnations
Step-by-step explanation:
hope this helped!