How are functions used to describe patterns?
Answer: Functions show real world pattern problems in algebraic form.
Solve for x.
[tex]3x - 5 = \frac{12 + 4x}{2} [/tex]
x = [?]
Answer:
x= 11
Step-by-step explanation:
[tex]3x - 5 = \frac{12 + 4x}{2} [/tex]
Multiply both sides by 2:
2(3x -5)= 12 +4x
Expand:
2(3x) +2(-5)= 12 +4x
6x -10= 12 +4x
Bring all x terms to 1 side, constant to the other:
6x -4x= 10 +12
2x= 22
Divide by 2 on both sides:
x= 22 ÷2
x= 11
(sec(x) sin^2(x)) / (1 + sec(x)) simplifyy pls
Answer:
[tex]1-\cos \left(x\right)[/tex]
Step-by-step explanation:
[tex]\frac{\sec \left(x\right)\sin ^2\left(x\right)}{1+\sec \left(x\right)}[/tex]
Use the identity: [tex]\sec \left(x\right)=\frac{1}{\cos \left(x\right)}[/tex]
[tex]\frac{\frac{1}{\cos \left(x\right)}\sin ^2\left(x\right)}{1+\frac{1}{\cos \left(x\right)}}[/tex]
[tex]\frac{\frac{1}{\cos \left(x\right)}\sin ^2\left(x\right)}{\frac{\cos \left(x\right)+1}{\cos \left(x\right)}}[/tex]
[tex]\frac{\frac{\sin ^2\left(x\right)}{\cos \left(x\right)}}{\frac{\cos \left(x\right)+1}{\cos \left(x\right)}}[/tex]
Divide them using [tex]\frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a\times d}{b\times c}[/tex]
[tex]\frac{\sin ^2\left(x\right)\cos \left(x\right)}{\cos \left(x\right)\left(\cos \left(x\right)+1\right)}[/tex]
Cancel cos(x):
[tex]\frac{\sin ^2\left(x\right)}{\cos \left(x\right)+1}[/tex]
Use the identity: [tex]\sin ^2\left(x\right)=1-\cos ^2\left(x\right)[/tex]
[tex]\frac{1-\cos ^2\left(x\right)}{1+\cos \left(x\right)}[/tex]
[tex]\frac{-\left(\cos ^2\left(x\right)-1\right)}{1+cos(x)}[/tex]
Use the difference of squares formula:
[tex]-\frac{\left(\cos \left(x\right)+1\right)\left(\cos \left(x\right)-1\right)}{1+\cos \left(x\right)}[/tex]
Cancel out 1+cos(x):
[tex]-\left(\cos \left(x\right)-1\right)[/tex]
Remove outer bracket:
[tex]-\cos \left(x\right)+1[/tex]
[tex]1-cos(x)[/tex]
X-27=-(27-x) It’s for math 9th grade
Answer:
x - 27 = -(27 - x)
x - 27 = -27 + x
x = x
-27 is moved to the right side making it +27 and cancelling out with the -27.
What is the measure of AC? A. 5 units B. 13 units C. 26 units D. 39 units
Answer:
is 26 bc i had misclicked it on edge and got it right
The measure of AC is 26 units.
Hence, option (C) is correct.
What is quadrilateral?A closed quadrilateral is a form of polygon with four sides, four vertices, and four angles. Four non-collinear points are joined to create it. Quadrilaterals' internal angles add up to a constant 360 degrees.
In the given quadrilateral,
Side AD = 8X - 1, CD = 6X + 9
And AB = 3x - 2
According to given diagram,
AD = CD
8x -1 = 6x + 9
2x = 9 + 1
2x = 10
x = 5
The length of side AB = 3x - 2 = 3 (5) - 2 = 15 - 2 = 13
The figure ABCD is a symmetrical figure,
Therefore,
AB = BC
AB = BC = 13
The required side AC = AB + BC
= 13 + 13
= 26
The length of the side AC is 26 units.
To know more about Quadrilateral on:
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Jesse is purchasing some new school supplies. He brought seven notebooks (1 for each class), a new backpack for $15, and a pack of pens for $3.50. He spent a total of $27.25 (before taxes). What is the cost of each notebook (in dollars and cents)?
Answer:
1.25
Step-by-step explanation:
I did the math
each notebook is 1.25
if u multiply by 7 it makes 8.75
Answer:
each note bok cost 1.25
Step-by-step explanation:
27.25-15=12.25
12.25-3.50=8.75
8.75/7=1.25
Who ever answers this first gets brainlist
What is 6^8
Answer:
1679616
Step-by-step explanation:
Answer:
1679616
Step-by-step explanation:
What is the measure of the smallest angle in the figure? The figure is not drawn to scale.
Answer:
(4x-3)°=37
Step-by-step explanation:
solve for x
6x-7+90+4x-3=180
10x=180-80
10x= 100
x=10°
from the equations;
4x-3= 4(10)-3=37° and
6x-7= 6(10)-7=53
therefore the smallest angle =(4x-3) =37
simplify 3/2√3 a. √2/3 b. 2√3/3 c. 3√3/3 d. √3/2 -everything is in fraction form-
Answer:
Before A:[tex]\frac{3\sqrt{3}}{6}[/tex]
A:Already Simplified!
B:Also, Already Simplified! Can be changed to [tex]\frac{\sqrt{12}}{3}[/tex]
C:Already Simplified, yet again. Can be changed to[tex]\frac{\sqrt{27}}{3}[/tex]
D:Already Simplified.
Step-by-step explanation:
For Before A, I multiplied both denominator and numerator by square root of 3. The multiplication moved the square root to the numerator, simplifying the fraction.
The different forms of B and C are just that I multiplied the square of the first number into the square roots. This is OK because the square root of a number's square is the number itself. Therefore, you can multiply a square root by the square of the number from outside the root.
Charlotte is making pies for her whole family. So far, she has made 5.04 pounds worth of pie, and has 7 people to feed, including herself. How much does each person get if Charlotte is done making pies?
Answer:
0.72 pounds
Step-by-step explanation:
Each of the 7 people gets 1/7 of the pounds of pie, so ...
(5.04 pounds)/7 = 0.72 pounds
Each person gets 0.72 pounds of pie.
what is the domain of the function
Answer:
the domain or set of departure of a function is the set into which all of the input of the function is constrained to fall.
Step-by-step explanation:
didn't know if you needed the definition or not :)
if it is 9:39 what time would it be a hour and a half later
Answer:
It would be 11:09
Answer:
11:09
Step-by-step explanation:
30 mins after 9:30 is 10pm,add an hour that's 11 pm plus the 9 additional minutes its 11:09
can someone please help me:/!!! i’m a sophomore in hs, this is integrated math 2 chapter 2 test!
Answer:
130°
Step-by-step explanation:
Angle 5 and Angle 8 are vertical angles, which therefore means the angles are congruent, or have the same measure. Since it tells us that Angle 8 measures 130°, we know Angle 5 will be 130° as well. I hope this helps :)
NEED HELP ASAP!!! Which of the following correctly uses absolute value to show the distance between −70 and 15? Question 6 options: 1) |−70 − 15| = |−85| = −85 units 2) |−70 + 15| = |−55| = 55 units 3) |−70 − 15| = |−85| = 85 units 4) |−70 + 15| = |−55| = −55 units
Answer:
3) |−70 − 15| = |−85| = 85 units
Step-by-step explanation:
Absolute value ignores negative values so the equation when finding the distance between −70 and 15 is 70 + 15 which equals 85.
5 ( y - 4)=7 (2y +1) Can someone help me out by solving for Y Thanks
5 ( y - 4 ) = 7 ( 2y + 1 )
To Find:The value of y.
Solution:5 ( y - 4 ) = 7 ( 2y + 1 )
or, 5y - 20 = 14y + 7
or, 5y - 14y = 7 + 20
or, -9y = 27
or, y = 27/-9 = -3
Answer:The value of y is -3.
Given the three points (0,3), (4,15), (5,33), determine the equation of the parabola they represent. State the direction the parabola opens. A) The equation is f(x)=3x^2−33/4x+3, and the parabola opens upward B)The equation is f(x)=−3x^2+9x+3, and the parabola opens downward C)The equation is f(x)=−4x^2−13x+3, and the parabola opens downward. D)The equation is f(x)=3x^2−9x+3, and the parabola opens upward.
Answer:
D)The equation is f(x)=3x^2−9x+3, and the parabola opens upward.
The area of a square poster is 92 square inches. What is the length of one side of the poster to the nearest tenth.
Answer:
23 square inches
Step-by-step explanation:
92/4
(m • n) • p=m • (n • p)
what property is this
Answer:
Step-by-step explanation:
Which equation has the solution x =
3?
8x – 1= 23
Submit Answer
O 82 +1= 21
6x + 3= 81
6x + 7 = -25
Let's solve each equation for x
8x - 1 = 23
Add 1 to each side.
8x = 24
Divide both sides by 8
x = 3
Luckily, we already found the equation which has the solution of x = 3
The answer is: 8x - 1 = 23
Please please help its urgent and i dont understand!!
Answer:
m<STW
Step-by-step explanation:
The m<4 is the vertex which is also T.
You can answer it with m<T but since there is lots of there, just to be more specific m<STW would be the answer.
The vertex's letter (the dot that is always in the middle of the angle where the ends of line connects) is always in the middle. You can switch the S or W if you like. it doesnt matter.
Find the real roots of
[tex] \frac{18}{ {x}^{4} } + \frac{1}{ {x}^{2} } = 4[/tex]
see the photos above given
Answer:
[tex]$x^2=\frac{9}{4} \implies x=\pm \frac{3}{2} $[/tex]
[tex]$x^2=-2 \implies x=\pm\sqrt{-2} \implies x=\pm\sqrt{2i} $[/tex]
The solutions are
[tex]$\{-\frac{3}{2},\frac{3}{2}, -\sqrt{2i}, \sqrt{2i} \}$[/tex]
The Real roots are
[tex]$\{-\frac{3}{2},\frac{3}{2}\}$[/tex]
Step-by-step explanation:
[tex]$\frac{18}{x^4} +\frac{1}{x^2}=4$[/tex]
Multiply both sides by [tex]x^4[/tex]
[tex]$x^4\frac{18}{x^4} +x^4\frac{1}{x^2}=4\cdot x^4$[/tex]
[tex]$18+x^2=4x^4$[/tex]
[tex]4x^4-x^2-18=0[/tex]
Substitute [tex]x^2=t[/tex]
[tex]4t^2-t-18=0[/tex]
Solving the quadratic equation using the quadratic formula:
[tex]$t=\frac{-(-1)\pm \sqrt{(-1)^2-4\cdot 4(-18)}}{2\cdot 4}$[/tex]
[tex]$t=\frac{1\pm \sqrt{289}}{8}$[/tex]
[tex]$t=\frac{1\pm 17}{8}$[/tex]
[tex]$t_1=\frac{9}{4}$[/tex]
[tex]t_2=-2[/tex]
Now we have to solve for [tex]x^2=t[/tex]
[tex]$x^2=\frac{9}{4} \implies x=\pm \frac{3}{2} $[/tex]
[tex]$x^2=-2 \implies x=\pm\sqrt{-2} \implies x=\pm\sqrt{2i} $[/tex]
(please help) the question is in the comments because idk whats going on with brainly-
If m = 2 and b =-6, what is the correct slope intercept equation?
Answer:
y=3x+6
Step-by-step explanation:
© Kin travels 600 miles by train at an average speed of 120 mph.
Ayaan flies the same distance at an average speed of 160 mph.
Find the difference between their travel times.
Give your answer in hours.
Please answer asap!!
Answer: 1.25 hours
Step-by-step explanation: 600/120=5. Kin‘s travel time is 5 hours. 600/160=3.75. 5-3.75=1.25.
HELP ASAPPP PLEASE HELPPPPPPP
Answer: 49.5 miles
Step-by-step explanation: So we know 1 inch is 11 miles, knowing that we can do 4.5 inches times 11 miles to get 49.5 miles. (4.5x11=49.5)
Hope this helps!
Please Mark Brainliest!
The area of a trapezoid is given by the formula A 1/2= (b 1 + b 2)h, solve the formula for h
h=A 6/b or 6 divided b = h
A seventh-grade class 13 boys and 17 girls. Ms.King randomly choose one student to be the line leader. Which is the probability that a girl will be the line leader?
Answer: i hope it helps
In a class of 30 students, there are 17 girls and 13 boys. Five are A students, and three of these students are girls. If ... ... If a student is chosen at random, what is the probability of choosing a girl or an A student? ... I thought it would be B because we need to minus 3/30 probably that's both girl and A student.
Step-by-step explanation:
What is the factored form of x6 - 9?
What is the equation of the graph shown?
Greetings from Brasil...
As we have a line, the function will be given by the expression:
F(X) = AX + B
where
A = ΔY/ΔX
B = where the line intersects the Y axis
Looking at the graph we have already concluded that
B = - 3
A = ΔY/ΔX
A = (5 - 3)/(4 - 3) see attached picture
A = 2
So,
F(X) = AX + B
F(X) = 2X - 3Which decimal is equivalent to 56?
Answer:
0.56
Step-by-step explanation: