Answer:
Solution: (1,-2)
Step-by-step explanation:
System of Equations
Given the equations:
[tex]-7x-8y=9\qquad\qquad [1][/tex]
[tex]-4x+9y=-22\qquad\qquad [2][/tex]
We'll solve it by elimination. It means eliminating one of the variables by equating their coefficients. We select the variable y. To eliminate it, multiply the equation [1] by 9 and the equation[2] by 8:
-63x-72y=81
-32x+72y=-176
Adding up both equations:
-95x=-95
Solving:
x=-95/(-95)=1
x=1
Now to eliminate x and find y, multiply [1] by 4 and [2] by -7:
-28x-32y=36
28x-63y=154
Adding up both equations:
-95y=190
Solving:
y=190 / (-95) = -2
y=-2
Solution: (1,-2)
im bad at angles pls help lol
n<DEH =
Exact form:
x = 29/2
Decimal form:
x = 14.5
Mixed number form:
x = 14 1/2
Total:
(12x+6) = 180
QUESTION 2n<HEG =
Exact form:
x = 179/7
Decimal form:
x = 25.57142857
Mixed number form:
x = 25 4/7
Total:
(7x+1) = 180
QUESTION 3n<GEF =
Exact form:
x = 91/3
Decimal form:
x = 30.3
Mixed number form:
x = 30 1/3
Total:
(6x-2) = 180
Hope it helps!!!Brainliest pls!!!Write the equation that represents the line that goes through the point (5, -7) and has slope m=-3
Answer:
y = -3x + 8
Step-by-step explanation:
Given :-
Point on line = (5, -7)
Slope (m) = -3
To find :-
Equation of line
Solving :-
Using point-slope form of equation,
y - y₁ = m(x - x₁)
y + 7 = -3(x - 5)
y + 7 = -3x + 15
Solution :-
y = -3x + 8
The revenue function for a bicycle shop is given by R(x)=x⋅p(x) dollars where x is the number of units sold and p(x)=800−0.5x is the unit price. Find the maximum revenue.
Answer:
The maximum revenue is $320,000
Step-by-step explanation:
To find the maximum of a function f, the procedure is as follows:
Find the first derivative of f.Equate the derivative to 0. Solve the resulting equation to get the critical points.Try all the critical points in the original function and select the one that maximizes it.The revenue function for a bicycle shop is
R(x)=xp(x), where p(x)=800-0.5x. Substituting:
[tex]R(x)=x(800-0.5x)=800x-0.5x^2[/tex]
Find the first derivative of R:
R'(x)=800-x
Equate to 0:
800-x=0
Solve:
x=800
There is only one critical point. Substitute it into the revenue function:
[tex]R(800)=800(800)-0.5(800)^2=320,000[/tex]
The maximum revenue is $320,000
Rs 5000 at 8% per annum compound intrest in the bank.Find the difference between the amounts compounded yearly and half yearly in 2 years
Answer
Rs. 624.32 is the interset
Step-by-step explanation:
Therefore, the compound interest is Rs. 624.32 on Rs. 5000 if it is compounded half yearly for 1 year 6 months at 8 % per annum.
A metal bar is L cm long when its temperature is T◦C. The quantities L and T are
approximately related by the formula L = 0.002T + 25.
L is a function of T and the rule can be written L(T) = 0.002T + 25. State a possible
practical domain for the function.
A possible practical domain for the function is T > 12500
How to find the domain of a functionThe domain are the input values for which a function exist.
Given the function relating the metal bar is L cm long when its temperature is T◦C as:
L(T) = 0.002T + 25
The domain of the expression is the point where 0.002T + 25 is greater than zero.
0.002T + 25 > 0
0.002T > -25
T > 12,500
Hence a possible practical domain for the function is T > 12500
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Reflect (7,3) across the y-axis.
Then reflect the result across the y-axis again.
What are the coordinates of the final point?
Answer:
(7, 3)
Step-by-step explanation:
If we reflect a point/figure across the y-axis, the rule is (x, y) -> (-x, y).
(7, 3) -> (-7, 3)Now, let's reflect it against the y-axis again.
(-7, 3) -> (7, 3)As you can see, we're back to where we started- at (7, 3). Thus, we can conclude that reflecting across the y-axis twice will result in the original point/figure.
What is the answer for 1-n/5=12?
Answer:
n= -5
Step-by-step explanation:
1-n/5 = 12
cross 1 to the other side.
new equation :
-n/5 = 11
Multiple 5 on both sides
divide the negative sign on n on both sides
n = -55
32000 divided by 14 needs to be an whole number.
Answer:2,286:L
Step-by-step explanation: you just round .
The 32000 divided by decimal 14 does not yield a whole number.
To determine if 32000 divided by 14 results in a whole number, to check if 14 is a factor of 32000. If it is, then the division will yield a whole number.
Let's divide 32000 by 14:
32000 ÷ 14 = 2285.7142857142857...
The division does not result in a whole number. The result has decimal places, indicating that 14 is not a factor of 32000.
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(3/1/2 - 9/3/4) / (-2.5)=
[tex] \: \: \: [/tex]
[tex] = \rm \large \frac{3 \frac{1}{2} - 9 \frac{3}{4} }{ - 2.5} [/tex]
[tex] \: \: [/tex]
[tex] = \rm \large \frac{ \frac{7}{2} - 9 \frac{3}{4} }{ - 2.5} [/tex]
[tex] \: \: [/tex]
[tex] = \rm \large \: \frac{ \frac{7}{2} - \frac{39}{4} }{ - 2.5} [/tex]
[tex] \: \: [/tex]
[tex]= \rm \large \: \frac{ \frac{25}{4} }{ - 2.5} [/tex]
[tex] \: \: \: [/tex]
[tex]= \rm \large \: \frac{5}{2} [/tex]
[tex] \: \: \: [/tex]
Let c(t) be the number of customers in Starbucks t hours after 6:00am. Explain the meaning of the statement
Please Help Its A Math Problem!! A baseball player hits a baseball 4 feet above the ground with an initial velocity of 80 feet per second.
Write an equation for this situation?
Question options:
h(t)=−16t2+80t+4
h(t)=−16t2+4t+80
h(t)=−16t2+84t
h(t)=−16t2+84
Answer: h(t)=[tex]16x^{2} \\\\[/tex]+80t+4
Step-by-step explanation:
80 if feet per second so it's 80*seconds where seconds equals t
this gets you 80*t or 80t.
You need to add 4 because that's the initial height to start with so 16x^2+80t+4
Answer:
The answer is A
Step-by-step explanation:
Which property of equality would you use to solve x - 5 = 7
Answer:
See below.
Step-by-step explanation:
x-5=7
+5 +5
x=12
You would use the addition property of equality.
-hope it helps
Please help I will give brainliest and 50 points!!
Answer:
Step-by-step explanation:
Which equation is set up appropriately to solve for the variable y?*
1 point
W
(4y – 4)º
Z
52°
Y
Зу°
Х
MZWXY + m_YWX = m_XYW
MLZYW + m_YWX = m2WXY
ОА
B
Please don’t send me a link
Answer:
finde the equation exponent statment for the foollwing
Tomas asked 33 students whether summer breaks should be longer. He used his calculator to divide the number of students who said Yes by the total number of students. His calculator showed the result as 0.878787. Write this number as a fraction
Answer:
0.878787 as a fraction equals 878787/1000000
Answer:
Step-by-step explanation: Thomas is very beautiful and he come to my house to visite it.
A guy wire supports a cell-phone tower. The guy wire makes a 55° angle with the ground and touches the ground 34 ft from the base of the tower. What is the length of the guy wire, rounded to the nearest foot? 20 ft 28 ft 49 ft 59 ft A right triangle. The base is labeled 34 feet. The angle made between the base and the hypotenuse is labeled 55 degrees. The angle made between the base and the perpendicular is marked as a right angle.
The length of the guy wire (rounded to the nearest foot) is 20 ft. Then the correct option is A.
What is a right-angle triangle?It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function.
A guy wire supports a cell phone tower.
The guy wire makes a 55° angle with the ground and touches the ground 34 ft from the base of the tower.
Base = 34 ft.
The length of the wire will be given as
[tex]\rm Wire \ length = 34 * cos\ 55^o\\\\Wire \ length = 19.5 \approx 20 \ ft[/tex]
The length of the wire is 20 ft. Then the correct option is A.
More about the right-angle triangle link is given below.
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Answer:
is 59ft
Step-by-step explanation:
just took the test
[tex]\sqrt{54y^{11}z^{5} }[/tex]
What, do you want that thing to be answered? There is a app that does your math for you in a few seconds i hope ya know. I dont think anyone here could figure that out either.
How many sides does a polygon have if the interior angle is 175.5 degrees?
The polygon has blank
sides.
32 + (-12 7/8) what is it I mak u brainlyiest or whatever
Answer:
The answ is 20 7/8
Step-by-step explanation:
Answer:
44 7/8
Step-by-step explanation:
Hope this helps!
And just to make sure do you mean twelve and seven eighths?
Solve the inequality and SHOW ALL WORK Plz Help Now Due In 15 minutes
−(1+5x)−6(−1+5x)≤−65
[tex] - 1 - 5x + 6 - 30x \leqslant - 65[/tex]
[tex] - 35x + 5 \leqslant - 65[/tex]
Factoring -5
[tex] - 5(7x - 1) \leqslant - 65[/tex]
Divided sides by -5
##############################
Point :
If the sides of an inequality are multiplied by or divided by a negative number, the direction of the inequality changes and returns.
##############################
[tex] \frac{ - 5}{ - 5}(7x - 1) \geqslant \frac{ - 65}{ - 5} \\ [/tex]
[tex]7x - 1 \geqslant 13[/tex]
Plus sides 1
[tex]7x - 1 + 1 \geqslant 13 + 1[/tex]
[tex]7x \geqslant 14[/tex]
Divided sides by 7
[tex] \frac{7}{7}x \geqslant \frac{14}{7} \\ [/tex]
[tex]x \geqslant 2[/tex]
Done ♥️♥️♥️♥️♥️
pls answer pls pls pls
what do you mean help? Help with what ask a question
[tex] \sf \large \: If \: y = Sin x \: * Cos \: 2x \: Find \frac{dy}{dx} [/tex]
Thanku!
Answer:
cos (x) cos (2x) - 2sin(x) sin(2x)Solution:
(See the solution in the photo)
Answer:
[tex]\sf -5\cos \left(x\right)+6\cos ^3\left(x\right)[/tex]
explanation:
[tex]\sf y = sin(x) * cos(2x)[/tex]
[tex]\rightarrow \sf \frac{d}{dx}\left(sin\left(x\right)\ * \:\:cos\left(2x\right)\right)[/tex]
[tex]\sf \bold {Apply\:the\:Product\:Rule}:\quad \left(f\cdot g\right)'=f\:'\cdot g+f\cdot g'[/tex]
[tex]\rightarrow \sf \frac{d}{dx}\left(\sin \left(x\right)\right)\cos \left(2x\right)+\frac{d}{dx}\left(\cos \left(2x\right)\right)\sin \left(x\right)[/tex]
[tex]\sf \bold{ Apply \ differentiation \ rule \ \ \ : } \ \ \ sin(x) = cos(x) \ \ and \ \ cos(x) = -sin(x)[/tex]
[tex]\rightarrow \sf \cos \left(x\right)\cos \left(2x\right)+\left(-\sin \left(2x\right)\ * \:2\right)\sin \left(x\right)[/tex]
[tex]\rightarrow \sf \cos \left(x\right)\cos \left(2x\right)\left-2\sin \left(2x\right)\sin \left(x\right)[/tex]
[tex]\sf \bold {use \ the \ formulae \ : \ cos(2x) = 2cos^2(x) - 1} \ {and} \ \ \sf \bold{sin(x) = 2 sin x cos x}[/tex]
[tex]\rightarrow \sf cos(x) (2cos^2 (x) -1) -2(2sin(x)cos(x)sin(x))[/tex]
[tex]\rightarrow \sf 2cos^3 (x) - cos(x) - 4sin^2(x) cos(x)[/tex]
[tex]\rightarrow \sf -5\cos \left(x\right)+6\cos ^3\left(x\right)[/tex]
Write a proof for the statement.
If a quadrilateral is a square, then the quadrilateral is a rectangle.
geometric series
the quadrilateral is also a rectangle as the rectangle and the quadrilateral have 4 sides.
pls i beg for an answer and pls explain how u got that answer too! PLSSSSSSSSSSSSSSSSSSS
Answer:
c) (-3,1)
Step-by-step explanation:
See, the turning point here is the maximum point. The coordinates of the turning point will give you the maximum value of g.
Now, how will you know if it's maximum or minimum by seeing a graph? It's simple, a smiley curve has a minimum point and a sad curve has a maximum point.
I hope it helped.
What is the total number of prime numbers between 29 and 63?
Answer:
when a number has more than two factors it is called a composite number
Step-by-step explanation:
here u go first few prime numbers: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71 etc..
[tex]<font color= " purple">[/tex]
[tex]\huge\boxed{\fcolorbox{cyan}{blue}{Answer:-}}[/tex]
The number 63 is not a prime number because it is possible to express it as a product of prime factors. In other words, 63 can be divided by 1, by itself and at least by 3 and 7. So, 63 is a 'composite number'.
List of prime numbers between 29 and 63:
29, 31, 37, 41, 43, 47, 53, 59, 61.
Which shows one way to determine the factors of 12x3 – 2x2 18x – 3 by grouping?.
The equation which shows the one way to determine the factors of provided equation by grouping is,
[tex]2x^2(6x-1)+3(6x-1)[/tex]
What is a factor of polynomial?Polynomial equations is the expression in which the highest power of the unknown variable is n (n is real number).
Factor of a polynomial is the terms in linear form, which are when multiplied together, give the original polynomial equation as result.
The provided polynomial equation is,
[tex]12x^3 - 2x^2 +18x - 3[/tex]
To factorize the above polynomial equation, make the groups, by taking out the greatest common factor.
[tex]12x^3 - 2x^2 +18x - 3\\2x^2(6x-1)+3(6x-1)\\(6x-1)(2x^2+3)[/tex]
Hence, the equation which shows the one way to determine the factors of provided equation by grouping is,
[tex]2x^2(6x-1)+3(6x-1)[/tex]
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13 The circumference of the circle and the perimeter of the rectangle are equal.
The circle has a diameter of 20 cm.
The rectangle has a length of 18 cm.
Not drawn accurately
x
20 cm
18 cm
Work out the width of the rectangle, marked x on the diagram.
cm.
Round your answer to 1 decimal place.
Help!!!
Answer:
Step-by-step explanation:
Note:
Circumference of a circle = [tex]\pi d[/tex]
Where d = diameter
We are given the diameter is 20cm, d = 20
Circumference of circle = [tex]\pi d[/tex] = 20 [tex]\pi[/tex]
Also, perimeter of a rectangle = 2 times length + 2 times width
We are told the length = 18 , width = x
Perimeter of rectangle = 2 times 18 + 2 times x
Perimeter of rectangle = 36 + 2x
The question also tells us that the circumference of the circle is EQUAL to the perimeter of the rectangle:
So this means:
Since Circumference of circle = 20[tex]\pi[/tex] ,
Perimeter of rectangle = 36 + 2x .
We can write:
Circumference of circle = perimeter of rectangle
20[tex]\pi[/tex] = 36 + 2x
Subtract 36 from both sides
20[tex]\pi[/tex] - 36 = 2x
Divide both sides by 2 to solve for "x".
x = [tex]\frac{20\pi - 36 }{2} = ?[/tex]
Plug it into your calculator and then just round it to 1 decimal place.
it is a lyrical rendition of different improvised text.
Answer:
the Mindanao part of the Philippines they have MUSIC OF MINDANAO that originates from the people living there. They have names for the different music that they play and perform. One of these is the CHANT(S), which is the lyrical rendition of different improvised text. Every culture differs and possess a very good way of performing their own and unique music. An example of this is LUGU which is a Chant that they use in reading his Qur'an and other books they use in his Islam religion.
For more info kindly check the links below:
brainly.ph/question/1149591
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Find the measure of angle c in the triangle below. Then find the length of segment BC
Answer:
Step-by-step explanation:
for the function f(x)= -3x+3 find f(0)
Answer:
3
Step-by-step explanation:
We have been given a function as; f(x)= -3x+3. then it is found that f(0) = 3
What is a function?Function is a type of relation, or rule, that maps one input to specific single output.
We have been given a function as;
f(x)= -3x+3.
then we need to find the function when x is equal to zero.
If f(x) = -3x + 3, this means that any number that replaces x in the parenthesis, would replace x in the right side too.
When x = 0:
f(0) = -3(0) + 3 = 3
f(0) = 3
Therefore, We have been given a function as; f(x)= -3x+3. then it is found that f(0) = 3
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