Answer:
(-4,-6)
Step-by-step explanation:
3x-4y=12
5x-2y=-8
multiply #2 by "-2"
3x-4y=12
-10x-4y=16
add two equations
-7 x = 28
x= -4
plug in -4 to equation (1 or 2)
-12 - 4y = 12
-4y = 24
y = -6
(-4,-6)
Answer:
x = -4.
y = -6.
Step-by-step explanation:
3x-4y=12
5x-2y=-8 Multiply this equation by 2:
10x-4y = -16 Subtract this from the first equation:
-7x = 28
x = -4
Substitute thin in equation 2:
3*(-4) - 4y = 12
-12 - 4y = 12
-4y = 24
y = -6.
A pizza parlor offers 4 different pizza toppings. How many different kinds of 2-topping pizzas are available?
Answer:
you need to be more specific.
Step-by-step explanation:
____×____=126
Fill the blank pls I need it fast
Answer:
Answer for this is 62 * 2 = 126
Step-by-step explanation:
Answer:
14×9=126
Step-by-step explanation:
how do you explain it lol
Does anyone know the equation to this trigonometric function? Step by step?
A general cosine function (we could also use a sine function) is written as:
y = A*cos(k*x + p) + M
We will find that the function of the graph is:
f(x) = 2*cos(2*x + 2.09) - 2
Let's return to the general function:
y = A*cos(k*x + p) + M
A is the amplitude, it defines the distance between the value of a maximum and the value of the minimum, such that A is exactly half of that difference.
Here we can see that the maximum is 0, and the minimum is -4
The differene is: 0 - (-4) = 4
Then:
A = 4/2 = 2
f(x) = 2*cos(k*x + p) + M.
M is the midline, this is, the horizontal line that cuts the graph in two halves. Here we can see that the midline is x = -2, then:
M = -2
f(x) = 2*cos(k*x + p) - 2
p is the phase shift.
In the graph, we can see that f(0) = -3, so we have:
f(0) = 2*cos(0 + p) - 2 = -3
cos(p) = -1/2
p = Acos(-1/2) = 2.09
Then we have:
f(x) = 2*cos(k*x + 2.09) - 2
Finally, k is related to the frequency of the function.
We can see that the function does a complete cycle at x = pi
This means that:
f(x) = f(x + pi)
Knowing that the period of a cosine function is 2*pi, then:
k*(x + pi) = k*x + 2*pi
k = 2
Then the equation of the graph is:
f(x) = 2*cos(2*x + 2.09) - 2
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Answer(s):
[tex]\displaystyle y = 2sin\:(2x + 1\frac{1}{4}\pi) - 2 \\ y = 2cos\:(2x - 1\frac{1}{4}\pi) - 2[/tex]
Step-by-step explanation:
[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 -2 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{-\frac{5}{8}\pi} \hookrightarrow \frac{-1\frac{1}{4}\pi}{2} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{\pi} \hookrightarrow \frac{2}{2}\pi \\ Amplitude \hookrightarrow 2[/tex]
OR
[tex]\displaystyle 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 -2 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{\frac{5}{8}\pi} \hookrightarrow \frac{1\frac{1}{4}\pi}{2} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{\pi} \hookrightarrow \frac{2}{2}\pi \\ Amplitude \hookrightarrow 2[/tex]
You will need the above information to help you interpret the graph. First off, keep in mind that although this looks EXACTLY like the cosine graph, if you plan on writing your equation as a function of sine, then by all means, go for it, but be careful and follow what is explained here. Now, as you can see, the photograph on the right displays the trigonometric graph of [tex]\displaystyle y = 2sin\:(2x - 1\frac{1}{4}\pi) - 2,[/tex] in which you need to replase “cosine” with “sine”, then figure out the appropriate C-term that will make the graph horisontally shift and map onto the cosine 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 sine graph [photograph on the right] is shifted [tex]\displaystyle \frac{\pi}{4}\:unit[/tex] to the right, which means that in order to match the cosine graph [photograph on the left], we need to shift the graph BACKWARD [tex]\displaystyle \frac{\pi}{4}\:unit,[/tex] which means the C-term will be negative. Now, BEFORE we go any further, we must remember that this particular cosine graph [thank goodness it is a cosine graph we are working with] ALREADY has a horisontal shift and does not have a single crest oscıllαtıng about any endpoint on the y-axis. So, in this case we need to figure out how far the FIRST oscıllαtıng crest is from the origin, and that obviously would be [tex]\displaystyle \frac{5}{8}\pi\:units.[/tex] Though, sinse we want the sine equation of this graph, it must be “negative”; so, by perfourming your calculations, you will arrive at [tex]\displaystyle \boxed{-\frac{5}{8}\pi} = \frac{-1\frac{1}{4}\pi}{2},[/tex] in which the value of C is [tex]\displaystyle -1\frac{1}{4}\pi.[/tex] So, the sine equation of the cosine graph, accourding to the horisontal shift, is [tex]\displaystyle y = 2sin\:(2x + 1\frac{1}{4}\pi) - 2.[/tex] Now, with all that being said, in this case, sinse you ONLY have a graph to wourk with, you MUST figure the period out by using wavelengths. So, looking at where the graph hits [tex]\displaystyle [\frac{7}{8}\pi, -2],[/tex] from there to [tex]\displaystyle [-\frac{\pi}{8}, -2],[/tex] they are obviously [tex]\displaystyle \pi\:units[/tex] apart, telling you that the period of the graph is [tex]\displaystyle \pi.[/tex] Now, the amplitude is obvious to figure out because it is the A-term, but of cource, if you want to be certain it is the amplitude, look at the graph to see how low and high each crest extends beyond the midline. 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 = -2,[/tex] in which each crest is extended two units beyond the midline, hence, your amplitude. So, no matter how far the graph shifts vertically, the midline will ALWAYS follow.
**As you can see, this is one of those moments where you will really need to be careful because if you notised, both equations have OPPOCITE horisontal shifts and C-values. Now, the ONLY TIME this occurs is when all crests in a SINUSOIDAL graph cycle half-way in between endpoints. Your best bet is to jot this down for when you see graphs like these in the future.
I am delighted to assist you at any time.
Three identical squares are placed side by side to form a rectangle with a perimeter of 104 inches. What is the area, in square inches, of each square?
Answer:
13 inches
Step-by-step explanation:
I have done a Little draw because I don't know how i can explain you this exuse me
find the probability that a randomly selected student drives to school. (see attachment, probability models)
p (drive to school) = x/x
remember to reduce your answer
Answer:
2/5
Step-by-step explanation:
P(drive to school) = number of students that drive to school ÷ total number of students
P(drive to school) = 40/100
P(drive to school) = 2/5
Answer:
The probability would be:
(number of students drive to school)/(total number of selected students)
The number of students who drive to school can be calculated as [tex]2+13+25=40[/tex]The total number of students is stated as 100.Therefore, the probability would be:
[tex]\frac{40}{100}=\frac{4}{10} =\frac{2}{5}[/tex]
what is 3.2 x 10^3=????????
[tex]\\ \rm\Rrightarrow 3.2\times 10^3[/tex]
[tex]\\ \rm\Rrightarrow 32\times 10^2[/tex]
[tex]\\ \rm\Rrightarrow 320\times 10^1[/tex]
[tex]\\ \rm\Rrightarrow 320(10)[/tex]
[tex]\\ \rm\Rrightarrow 3200[/tex]
Answer:
3200
Step-by-step explanation:
3.2·10^3
You move your decimal right three times. and you should get 3200.
3.2·10^3=3200
If f(1) = 10 and f(n) = f(n − 1) – 3 then find the value of f(4).
Answer:
f(4) =1
Step-by-step explanation:
f(1) = 10
f(n) = f(n − 1) – 3
Let n=2
f(2) = f(2 − 1) – 3 = 10-3 = 7
Let n =3
f(3) = f(3 − 1) – 3 = f(2) -3 = 7-3 = 4
Let n = 4
f(4) = f(4 − 1) – 3 = f(3) -3 = 4-3 = 1
Answer:
9
Step-by-step explanation:
f(4)=4(4-1)-3
f(4)=4(3)-3
f(4)=12-3
f(4)=9
Solve: XC - XV. Show your answer as a Roman Numeral. Standard Number 1 5 10 50 100 500 1,000 Roman Numeral 1 V X Х L с D M A) V B) VI C) VIL
Answer: A
Step-by-step explanation:
1. When doing polynomial division, the terms should be in order of their exponents, highest
to lowest, with the number last.
Answer:
True
Step-by-step explanation:
The powers must be arranged from highest to lowest for both the numerator and the denominator, so the terms will line up during the subtraction steps.
PLS HELP ME ON THIS QUESTION I WIL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
The number of rare coins a coin collector owns is considered ________ data.
A. discrete
B. continuous
C. neither continuous nor discrete
D. both continuous and discrete
Answer:
The number of rare coins a coin collector owns is considered discrete data.
What’s the answer to this?
Answer:
you need to make a line by using the tools
Solve: 6 - x=-12 )
A) -18
B) C 0
D) 18
Answer:
D) 18
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable
Answer:
[tex]6 - x = - 12 \\ constants \: nearer \\ 6 + 12 = x \\ x = 18 \\ thank \: you[/tex]
I’m having a hard time finding the answer, any help is appreciated (:
Answer:
True.
Step-by-step explanation:
It fails the vertical line test. The vertical line test checks to see if any inputs (x values) have more than one output. In this case, they do.
Find the length of the third side. If necessary, round to the nearest tenth.
20
28
Answer:
Submit Answer
attempt 1 out of 2
PLS HELP ASAP
Answer:
b = 19.6
Step-by-step explanation:
Since this is a 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
20^2+ b^2 = 28^2
400 + b^2 = 784
b^2 = 784-400
b^2 =384
Taking the square root of each side
sqrt( b^2) = sqrt(384)
b =19.59591794
To the nearest tenth
b = 19.6
Answer:
19.6
Step-by-step explanation:
It is a right triangle so use the pythagorean theorem; a^2 + b^2 = c^2
a=20
b=?
c=28 - c is the hypotenuse because it is across from the right angle
20^2 + b^2 = 28^2
400+ b^2 =784
b^2=384
b= 19.595917... or 19.6 (rounded to nearest tenth)
Express 2³a²b in factor form
The given expression can be written in factor form as 4a(2ab)
Given:
2³a²b to be expressed in factor form
To express the above given expression in factor form follow the steps below;
expand the expression = 2³a²b = 2 x 2 x 2 x a x a x b)factorize by using the common factor = 4a(2ab)Finally, the given expression can be written in factor form as 4a(2ab)
To learn more about factorization, please visit: https://brainly.com/question/11909547
Calculate the sum and enter it below.
8+ (-12)
Answer:
-4 is the answer
Answer:
-4
Step-by-step explanation:
8+(-12)
+ x - = -
8-12
-4
Can the quotient of two irrational numbers ever be a rational number?
Answer: Yes, it can.
Step-by-step explanation:
3π / 2π = 1.5
√20 / √5 = 2
I guess it can.
Simplify. x/4+x/3//x/2
Answer:
Step-by-step explanation:
When solving equations, if I subtract 5 on the right side of the equation do I have to subtract 5 on the left side of the equation?
Answer:
Yes
Step-by-step explanation:
Adding to both sides of the equation will keep both sides equal
Solve the equation for all values of x.
- 2x(– 8)(10x + 1) = 0
From deltamath.com
Answer:
Hi I'm going to answer the question is 0
Step-by-step explanation:
-2x(-8)(10x+1)=0
Multiply -2 times -8 is 16
16x(10x+1)=0
Use the distributive property to multiply 16x by 10x+1
[tex] {160}^{2} + 16 = 0 \\ [/tex]
Factor out x.
x(160x+16)=0
To find equation solutions, solve x=0 and 160x+16=0
x=0
x=
[tex] - \frac{1}{10} [/tex]
A. A polynomial of the 5th degree with a leading coefficient of 3 and a constant of 2.
Which statement best describes the function h(t) = 210 - 15t?
Oh is the function name; h(t) is the input, or independent variable; and t is the output, or dependent variable.
O h is the function name; t is the input, or independent variable; and h(t) is the output, or dependent variable.
O t is the function name; h(t) is the input, or independent variable; and h is the output, or dependent variable.
Ot is the function name; h is the input, or independent variable; and h(t) is the output, or dependent variable.
Answer:
h is the function name; t is the input, or independent variable; and h(t) is the output, or dependent variable.
Step-by-step explanation:
The explanation is in the answer.
h is the function name; h(t) is the input, or independent variable; and t is the output, or dependent variable is correct statement.
The given function is h(t) = 210 - 15t
The function is named h, and it takes an input value t (the independent variable) and produces an output value 15t (the dependent variable).
The function is often written as h(t) = 15t to make it clear that h is a function of t.
Hence, h is the function name; h(t) is the input, or independent variable; and t is the output, or dependent variable is correct statement.
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(PLEASE HELP you don't have to graph I just need the equations) Dr. Gilmore just got his PhD, and he wants to print copies of his thesis in hardcover book
format. He could use Belmont Printing, paying a setup fee of $40 and $4 for every book
printed. Alternately, he could go through Fairfax University, paying an up-front fee of $30
and $6 per book. It turns out that, given the number of books Dr. Gilmore wants to print, the
two options cost the same amount. How many books is that?
Write a system of equations, graph them, and type the solution.
04 Name the
Name the property
1(-15) X (-56)
1) (-72) X 26 26 X4-72)
m) 3% (-40) X 32 X 11-463) X32
(-15) X 105 (-15) X (100$;]-1-15) %100 f15XSI
Answer:
integers integers OK ok ok ok ok ok okBe Precise What is the difference between a terminating decimal and a repeating
decimal?
Answer:
Terminating decimals have a finite number of digits after the decimal point. Repeating decimals have one or more repeating numbers or sequences of numbers after the decimal point, which continue infinitely.
A diameter of a circle is 12 inches. What's the distance when rotate 3 circle ?
Answer:
36π inches which is 113.10 inches to the nearest hundredth
Step-by-step explanation:
The circumference = 12 * π
Rotating 3 times the distance moved is 3 * 12π.
could anyone help with this, thanks !!
Answer:
Step-by-step explanation:
Help me please I need it
Answer:
Equation B.
Step-by-step explanation:
Subtract 4 from both sides in the equation 11r+4=55. You will see that it is equivalent to equation B.
Please help me asap it's for a grade.
Answer:
212 in²Step-by-step explanation:
Top and bottom:
2(2 + 4)*4 = 48Front and back:
2(4*7 + 2*10) = 96Left and right:
10*4 + 4*7 = 68Total surface area:
48 + 96 + 68 = 212 in²Answer:
=280
Step-by-step explanation:
Step 1:
find the surface areas of both the figures
area of 1rst:
length = 2
width =4
height = 10
surface area formula = 2(wl+wh+hl)
= 136
area of second
length = 4
width =4
height = 7
surface area formula = 2(wl+wh+hl) =
2·(4·4+7·4+7·4)=144
144 + 136 = 280
I hope this helps!! :)
solve 7y 4/y 2 = -4/3
Answer:
Step-by-step explanation:
(7y+4)/(y+2)=-4/3
[tex]\dfrac{7y+4}{y+2}=\dfrac{-4}{3}\\\\[/tex]
Cross multiply,
(7y + 4) * 3 = -4*(y+ 2)
Use distributive property,
7y*3 + 4*3 = -4*y + 2*(-4)
21y + 12 = -4y - 8
Subtract 12 from both side
21y = -4y - 8 - 12
21y = -4y - 20
21y + 4y = -20
25y = -20
y = -20/25
[tex]y=\dfrac{-4}{5}[/tex]
[tex]\\ \sf\longmapsto \dfrac{7y+4}{y+2}=\dfrac{-4}{3}[/tex]
[tex]\\ \sf\longmapsto 3(7y+4)=-4(y+2)[/tex]
[tex]\\ \sf\longmapsto 21y+12=-4y-8[/tex]
[tex]\\ \sf\longmapsto 21y+4y=-8-12[/tex]
[tex]\\ \sf\longmapsto 25y=-20[/tex]
[tex]\\ \sf\longmapsto y=\dfrac{-20}{25}[/tex]
[tex]\\ \sf\longmapsto y=\dfrac{-4}{5}[/tex]
