Hey there!
Let's solve this equation.
5x+3x-4=10
add the x's
8x-4=10
add 4 to both sides
8x=10+4
8x=14
divide both sides by 8
x=14/8
Reduce the fraction;
x=7/4 (improper fraction)
x=1+3/4 (mixed number)
Hence, the equation has 1 solution.
Hope everything is clear.
Let me know if you have any questions!
#ILoveLearning
:-)
Answer:
i presume it has
Step-by-step explanation:
only 1 solution.
combine like terms & then solve
Sketch the graph of y = 5 sin 2x° + 12
Function: y = 5 sin (2(x))+ 12
Find y-intercept:
y = 5 sin 2(0)+ 12
y = 12
[tex]\sf Y\:Intercepts}:\:\left(0,\:12\right)[/tex]
→ Formula for maximum: M = A + |B|
Maximum:
12 + |5|
17
When y = 17
[tex]\rightarrow \sf 17 = 5 sin (2(x))+ 12[/tex]
[tex]\rightarrow \sf \sf 5 sin (2(x)) = 5[/tex]
[tex]\rightarrow \sf sin (2(x)) = 1[/tex]
[tex]\rightarrow \sf 2x = sin^{-1}(1)[/tex]
[tex]\rightarrow \sf 2x = 90^{\circ \:}, \ \ 450^{\circ \:}[/tex]
[tex]\rightarrow \sf x = 45^{\circ \:}, \ \ 225^{\circ \:}[/tex]
maximum: ( 45° , 17 ), (225° , 17), .....
==========================================================
→ Formula for minimum: m = A ‐ |B|
Minimum:
12 - |5|
7
When y = 7
[tex]\rightarrow \sf 7 = 5 sin (2(x))+ 12[/tex]
[tex]\rightarrow \sf 5 sin (2(x)) = -5[/tex]
[tex]\rightarrow \sf 2(x) = sin^{-1}(-1)[/tex]
[tex]\rightarrow \sf x = -45^{\circ \:} , \ \ 135^{\circ \:}[/tex]
minimum: ( -45°,7), (135°, 7), .....
Repeat the same process for finding more values on the x-axis, or just follow the trend of the curve from the points found and sketch the graph easily.
[tex]\sf Domain\:\left(-\infty \: < x < \infty )[/tex]
[tex]\sf Range : 7\le \:f\left(x\right)\le \:17[/tex]
Sketched below:
If f and f ◦ g are onto, does it follow that g is onto? justify your answer
The functions f, g and f ◦ g are illustrations of relations and functions
If f and f ◦ g are onto, it does not necessarily follow that g is onto
How to complete the statement?The onto functions are given as:
Function fFunction f ◦ gConsider the functions f and g.
The function f is an onto function, if for every element of function f, there is at least one matching element with function g.
The above definition implies that the following definition is not a condition for the two functions to be an onto function
If for every element of function g, there is at least one matching element with function f.
Hence, it does not necessarily follow that function g is onto
Read more about relations and functions at:
https://brainly.com/question/10283950
The perimeter of the figure below is 84.6 ft. Find the length of the missing side.
Answer:
7.3 ft.
Step-by-step explanation:
The perimeter of a geometrical figure is calculated by adding all side lengths up:
The perimeter of the figure in question is 84.6 ft.
2*(3.4) + 2*(11.3) + 6*(6.8) + (7.1) + ? = 84.6 (it's easier if we write equal terms in multiplying form)
77,3 + ? = 84.6 subtract 77.3 from both sides
? = 7.3 is the length of the missing side
X 12. Find the volume of the composite solid. Use 3.14 for . 5.5 ft Find the volume of the cone using the formula.
Answer: 74.61 ft^3
Step-by-step explanation:
Hi! Im stuck on this question please help, thanks
Answer:
I guess it is 43.57 Hope it helps!!!
what is the quotient?
Answer:
[tex]x^{2}[/tex] - 2x + 4
Step-by-step explanation:
pls help! no links
A spy realizes his cover is blown and flees toward his secret
evacuation spot at a speed of 60 mph. Two hours later, a special
agent in a helicopter starts chasing the spy. The special agent travels
the same route at a speed of 90 mph.
What distance does the spy cover in t hours?
Answer:
60t = y
t; time in hours
60: Speed of the spy fleeing
y: how far he has gone in t hours
Hope this helps!
Please rate and mark brainliest!!
Have a great day!!
what is the slope-intercept form of the equation of the line that contains the points (-3,-3) and (4,5)
Answer:
[tex]y=1.14x+0.420[/tex]
Step-by-step explanation:
Given the following question:
Point A = (-3,-3) = (x1, y1)
Point B = (4, 5) = (x2, y2)
To write the points in slope intercept form we must first calculate the slope using rise over run. Once we have the slope, we substitute the values into the formula for slope intercept which is y = mx + b and then solve for b to have our answer.
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
[tex]m=\frac{5--3}{4--3} =\frac{8}{7}[/tex]
[tex]8\div7=1.14[/tex]
[tex]m=1.14[/tex]
Now that we have the slope substitute the values:
[tex]y=mx+b[/tex]
[tex]y=-3[/tex]
[tex]m=1.14[/tex]
[tex]x=-3[/tex]
[tex]-3=1.14(-3)+b[/tex]
[tex]1.14\times-3=-3.42[/tex]
[tex]-3=-3.42+b[/tex]
[tex]-3.42+3.42=0[/tex]
[tex]-3+3.42=0.42[/tex]
[tex]0.42=b[/tex]
[tex]b=0.42[/tex]
[tex]y=1.14x+0.420[/tex]
Your answer is "y = 1.14x + 0.420."
Hope this helps.
In a small town, there are 4 times as many left-handed males as there are left-handed females, and there are 3 times as many right-handed females as there are right-handed males. There are a total of 204 males and 348 females in the town.
Let x represent the number of left-handed females, and let y represent the number of right-handed males. Write a system of equations to represent the situation. What is the value of x, the number of left-handed females?
6
24
96
108
Answer:
(b) 24
Step-by-step explanation:
The given variable definitions and the given relationships let us write these statements:
LH males = 4 × LH females = 4x
RH females = 3 × RH males = 3y
LH males + RH males = 204 = 4x +y
RH females + LH females = 348 = 3y +x
Your favorite method of solving equations of this sort can tell you ...
(x, y) = (24, 108)
There are 24 left-handed females.
__
Additional comment
Other numbers involved here are ...
y = 108 . . . . right-handed males
204-108 = 96 . . . . left-handed males (=4×24)
348-24 = 324 . . . . right-handed females (=3×108)
__
If you want to solve the equations by hand, you can use substitution for y to get an equation in x:
3(204 -4x) +x = 348 ⇒ -11x = -264 ⇒ x = 24
What does the 6 in 2/6 mean?
Hey there!
Here we have a fraction
2/6.
The 2 is the numerator, and 6 is the denominator.
How to remember where the numerator and the denominator is?
Well, please remember the following:
The Denominator is Down
Hence, 6 is the denominator of this fraction.
Hope everything is clear.
Let me know if you have any questions!
#LearningDoesn'tEnd
:-)
Is the following function even, odd, or neither f(x)=x^3/x+1
Answer: Odd
Step-by-step explanation:
Odd functions are functions where the exponent of the leading term is odd. In this case, the exponent of 3 is odd, so the function is odd.
7x+ 8=29 how to solve it
Answer:
the correct answer is x = 3
Step-by-step explanation:
you solve this by moving all the terms that dont contain x to the right side and solve the equation.
hope this helps
have an awesome day -TJ
pls mark brainliest if this helps you :)
There are 9 members on a board of directors. if they must elect a chairperson, a secretary, and a treasurer, how many different slates of candidates are possible? a. 504 c. 729 b. 84 d. 362,880
Answer:
A. 504
Step-by-step explanation:
on edge 2022
Answer:
A.
Step-by-step explanation:
EDG 2022
factorise: 6x^2 – 5 x – 6
Step-by-step explanation:
I think it will help you.
Look at the example
Let's use mid-term splitation
[tex]\\ \rm\rightarrowtail 6x^2-5x-6[/tex]
[tex]\\ \rm\rightarrowtail 6x^2+4x-9x-6[/tex]
[tex]\\ \rm\rightarrowtail 2x(3x+2)-3(3x+2)[/tex]
[tex]\\ \rm\rightarrowtail (2x-3)(3x+2)[/tex]
Identify the value of y.
-6×2×9y = 7y-4+4-690
Hey there!
-6×2×9y = 7y-4+4-690
=> Let's solve your equation step-by-step.
(((−6)(2))(9))(y)=7y−4+4−690
Step 1: Simplify both sides of the equation.
(((−6)(2))(9))(y)=7y−4+4−690
−108y=7y+−4+4+−690
−108y=(7y)+(−4+4+−690)(Combine Like Terms)
−108y=7y+−690
−108y=7y−690
Step 2: Subtract 7y from both sides.
−108y−7y=7y−690−7y
−115y=−690
Step 3: Divide both sides by -115.
−115y/−115 = −690/−115
y=6
Answer:
y=6
Therefore, the value of y = 6
Answer:
y=6
Step-by-step explanation:
(((−6)(2))(9))(y)=7y−4+4−690
−108y=7y+−4+4+−690
−108y=(7y)+(−4+4+−690)
−108y=7y+−690
−108y=7y−690
Subtract 7y from both sides.
−108y−7y=7y−690−7y
−115y=−690
Step 3: Divide both sides by -115.
−115y -690
−115 -115
y=6
I hope this helped!! If so please mark brainliest and rate my answer <33
If (x − 5) is a factor of the polynomial function f(x) = 3x2 − 23x + 40, which of the following is another factor?
Answer:
3x-8
Step-by-step explanation:
Use synthetic division:
5 | 3 -23 40
____ 15 -40_
3 -8 | 0
Hence, another factor of the polynomial is 3x-8
Lacie bought a $20 shirt that was marked down 30%. what did she pay after tax of 6% was added to the price of the shirt?
Answer:
14.84
Step-by-step explanation:
20*(6%+1)*(1-30%)
20*(0.06+1)*1-0.3)
20*1.06*0.7
14.84
marked price an article is 20% above its cost price. it is sold for rs 1100 at 10% profit find its marked price
Hey there!
Marked price (MP) = 1100 + Cost price (CP) ----(1)
If the watch was sold at discount of 20%, profit = Rs. 400
⇒ Selling price = MP - 20% of MP = 0.8MP
Also, Selling price = CP + 400
⇒ CP + 400 = 0.8MP
Substituting from (1),
⇒ CP + 400 = 0.8(1100 + CP)
⇒ CP + 400 = 880 + 0.8CP
⇒ 0.2CP = 480
⇒ CP = Rs. 2400
∴ To earn a profit of 30%, Selling price = 2400 + 30% of 2400 = 2400 + 720 = Rs. 3120
what is x (its a parralleligram)
Check the picture below.
helppppppppp please
thanks
Answer:
Here is the answer
Step-by-step explanation:
4^4/(6^6)
A company produces circular drink coasters. the equation x2 y2 = 18.0625, with units in inches, represents the size of a coaster. each coaster is cut from a square piece of cardboard. what is the minimum possible area of each cardboard piece? 4.25 in2 8.5 in2 18.0625 in2 72.25 in2
The minimum possible area of each square cardboard piece which is used to produce circular drink coasters is 72.25 in².
What is the equation of circle?The equation of the circle is the equation which is used to represent the circle in the algebraic equation form with the value of center point in the coordinate plane and measure of radius.
The standard form of the equation of the circle can be given as,
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Here (h,k) is the center of the circle and (r) is the radius of the circle.
A company produces circular drink coasters. the equation which represents the size of a coaster is,
[tex]x^2+ y^2 = 18.0625[/tex]
The units are in the inches. This equation can be written as,
[tex]x^2+ y^2 = \dfrac{289}{16}\\x^2+ y^2 =\left( \dfrac{17}{4}\right)^2[/tex]
Compare it with the equation of the circle, we get,
[tex]h=0\\k=0\\r=\dfrac{17}{4}\rm\; in[/tex]
The radius of the circular coaster is 17/4. The diameter of it is,
[tex]d=2\times\dfrac{17}{4}\\d=\dfrac{17}{2}\rm \; in[/tex]
Now, each coaster is cut from a square piece of cardboard. The diameter of the circular coaster will be equal to the side of the square piece of cardboard.
[tex]a=d=\dfrac{17}{2}\rm\; in[/tex]
The area of the square is the square of its side. Thus, the area of a square piece of cardboard is,
[tex]A=a^2\\A=\left(\dfrac{17}{2}\right)^2\\A=72.25\rm\; in^2[/tex]
Thus, the minimum possible area of each square cardboard piece which is used to produce circular drink coasters is 72.25 in².
Learn more about the equation of circle here;
https://brainly.com/question/1506955
A husband and wife are building a tiny house for a vacation getaway, and they want to measure the height of the roof of the house to see if they will be able to have a bedroom on the second floor. One side of the house is 18 ft long and the slant height of the roof along this side is 13 ft. The point on the roof's peak is above the center of the house. What is the height of the roof of the house? Round your answer to the nearest hundredth. Question 4 options: 9.38 ft 11.28 ft 15.21 ft 9.4
By using a right triangle as a model, we will see that height of the roof is 9.38 ft.
What is the height of the roof of the house?The slant height is equivalent to the hypotenuse of a right triangle, so we know the length of the base and the hypotenuse of a right triangle. The cathetus will be half of 18ft
We need to find the other cathetus, so we can use the Pythagorean theorem, if X is the other cathetus we will get:
X^2 + (9ft)^2 = (13 ft)^2
X = √( (13 ft)^2 - (9 ft)^2) = 9.38ft
So the height of the roof is 9.38 ft.
If you want to learn more about right triangles, you can read:
https://brainly.com/question/2217700
Sam has been running his swimming pool cleaning business now for five years. He is considering enlarging his service area to a 100 mile radius, which would require two new offices in different parts of town. He would like to take out a business loan to cover the cost of expansion. The profits for Sam's business over the last 5 years are outlined in the table below. According to this information, what would be the best estimate for Sam to quote as expected profits in the next year in his new business plan? Business Year Net Profit 1 $43,502. 25 2 $47,417. 45 3 $51,685. 02 4 $56,336. 68 5 $61,406. 98 a. $66,477. 28 b. $66,933. 60 c. $72,003. 91 d. $72,957. 63.
Thus, the best estimate for Sam to quote as expected profits in the next year in his new business plan is $66,933.60.
What is net profit?Net profit is the amount of a business earn after deducting all the expenditure over it.
Sam has been running his swimming pool cleaning business now for five years. He is considering enlarging his service area to a 100 mile radius, which would require two new offices in different parts of town.
He would like to take out a business loan to cover the cost of expansion. The profits for Sam's business over the last 5 years are outlined in the table below.
Business Year Net Profit 1 $43,502.25 2 $47,417.45 3 $51,685.02 4 $56,336.68 5 $61,406.98Using the regression graph, the quadratic equation we get for this data as,
[tex]y=192.4493x^2+3318.1733x+39998.214[/tex]
For the 6 year value,
[tex]y=192.4493(6)^2+3318.1733(6)+39998.214\\y\approx 66835.43[/tex]
This value is much near to the option b which is $66,933.60.
Thus, the best estimate for Sam to quote as expected profits in the next year in his new business plan is $66,933.60.
Learn more about the Net profit here;
https://brainly.com/question/4177260
Write -1.7 repeating as a fraction
Answer:
-1 7/10
Step-by-step explanation:
Hope that helps!!!
Solve: log2(3x 8) = 5 which is an equivalent equation? 25 = 3x 8 52 = 3x 8 25 = [log2(3x 8)]2 52 = [log2(3x 8)]5
The value of the equivalent equation will be 32=3x+8
What will be the value of x?It is given in the question that
[tex]\rm Log_2(3x+8)=5[/tex]
Now from the antilog property property
[tex]\rm x=Log_by[/tex] can be written as below
[tex]b^x=y[/tex]
So the value of [tex]\rm Log_2(3x+8)=5[/tex] will be
[tex]2^5=3x+8[/tex]
[tex]3x+8=32[/tex]
Thus the value of the equivalent equation will be 32=3x+8
To know more about Antilog property follow
https://brainly.com/question/24556465
Answer:
I did it on edgeinuity
Step-by-step explanation:
7.5
A
7
10
12.5
3. sin A:
COS A:
tan A:
What is Sin
Answer:
sin is something that we say, think, or do, that displeases God
Step-by-step explanation:
hoped this helped! :)
STOP WITH THE LINKS! please? Help? NO LINKS!?????
Answer:
The answer is 24
just multiply 6 and 4 together
What is the sale price of jeans which regularly cost $32, but now are 10% off?
Answer:
$28.80
Step-by-step explanation:
32 x 0.1 = 3.2
32 - 3.2 =28.8
Hope this helps :)
Answer:
$28.8
Step-by-step explanation:
10% of 32 is 3.2
32 - 3.2 = 28.8
find ml 2x+5 5x-4 Brainliest HURRY RN
Answer:
11
Step-by-step explanation:
5x + -4 = 2x + 5
-2x +4 -2x +4
3x = 9
x = 3
5(x) - 4 = ML
5(3) - 4 = ML
15 - 4 = ML
11 = ML
A board game that normally costs $30 is on sale for 25 percent off. What is the sale price of the game?
$22.50
$27.50
$32.50
$37.50
Answer:
22.50
Step-by-step explanation:
25% of 30 is 7.50
30-7.50 is 22.50
Answer: A: $22.50
Step-by-step explanation:
The original price of the game, $30, is 100%.
If the game if 25% off, then it will be, (100 - 25), 75% of its original price.
All we need to do is 75% x 30:
0.75 x 30 = 7.5 x 3 = $22.50
So your answer is A: $22.50