Answer:
68
Given:
x - 5 = y ........ eq 1xy + 4 = 0 ...... eq 2Substitute equation 1 into 2
x(x - 5) + 4 = 0x² - 5x + 4 = 0x² - 4x - x + 4 = 0x(x-4) -1(x-4) = 0(x-4)(x-1) = 0x = 1, 4Find y:
y = x - 5
y = 1 - 5 (when x is 1)
y = -4
========
y = x - 5
y = 4 - 5 (when x is 4)
y = -1
Then 4x² + 4y²:
4(1)² + 4(-4)²4 + 6468Answer:
68
Step-by-step explanation:
[tex]\textsf{Equation 1}:\:x-5=y[/tex]
[tex]\textsf{Equation 2}:\:xy+4=0[/tex]
Substitute Equation 1 into Equation 2:
[tex]\implies x(x-5)+4=0[/tex]
[tex]\implies x^2-5x+4=0[/tex]
Factorize:
[tex]\implies (x-1)(x-4)=0[/tex]
Therefore:
[tex]x=1, x=4[/tex]
Substitute found values of [tex]x[/tex] into Equation 1 and solve for [tex]y[/tex]:
[tex]x=1\implies 1-5=-4[/tex]
[tex]x=4\implies 4-5=-1[/tex]
Substitute found values into [tex]4x^2+4y^2[/tex] and solve:
[tex]\textsf{For}\:(1,-4)\implies 4(1)^2+4(-4)^2=68[/tex]
[tex]\textsf{For}\:(4,-1)\implies 4(4)^2+4(-1)^2=68[/tex]
Note: As [tex]4x^2+4y^2[/tex], the values of x and y can be interchanged, so no need to input both sets of ordered pairs into the equation to solve.
solve a simplify ( no exponent )
need the answer …
Answer:
1/3
Step-by-step explanation:
Your choice of answer must be consistent with the instructions.
The only answer with no exponent is the correct one:
1/3
__
The rules of exponents tell you ...
(a^b)(a^c) = a^(b+c)
3^(-4) × 3^3 = 3^(-4+3) = 3^-1
and
a^-b = 1/a^b
so
3^-1 = 1/3^1 = 1/3 . . . . written without an exponent
Jessica has $32 to buy movie tickets that cost $5.25 each for her and her friends. the inequality 32≥5.25t represents the number of tickets t she could buy. what is the greatest number of tickets jessica can buy?
can somebody help me
Answer:
Area = 202 in^2
Step-by-step explanation:
Divide those into pieces to solve for each area and then add the area together.
Left Rectangle:
13 in * 4 in = 52 in^2
Right Rectangle:
15 in * 10 in = 150 in^2
Total Area = 117 in^2 + 150 in^2 = 202 in^2
Need Help!
Milk is on sale for 40% off when it is normally $3.75 per gallon. How much will a gallon of milk cost?
The discounted price for milk is $____ (Round to the nearest cent.)
Calculate the sum of the interior angles of the following hint.
Answer:
A- 900 degrees
B- 1800 degrees
C- 540 degrees
The sum of the interior angles of a heptagon is 900 degrees. The interior angles of a dodecagon add up to 1800. The interior angles of a pentagon add up to 540.
What is the sum of the six marked angles in the picture?
Answer:
The answer is option D - 1120°
1120° is the sum of the sixed marked angle in the picture. Therefore, the correct option is option D.
What is angle?
An angle is a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles. We refer to these as dihedral angles.
The angle formed by the rays lying perpendicular to the two crossing curves at the point of junction is another property of intersecting curves. Angle can also refer to the size of such an angle or a rotational angle. The width of a circular path divided by its radius is the traditional definition of this metric, which may also be signed. 1120° is the sum of the sixed marked angle in the picture.
Therefore, the correct option is option D.
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please help to simplify 4+2×-4+8×-1
_____________________________________________________
Calculate[tex]4+2\times (-4)+8\times (-1)[/tex]
_____________________________________________________
Determine the sign for multiplication or division[tex]4-2\times 4+8\times (-1)[/tex]
[tex]4-2\times 4-8[/tex]
______________________________________________________
Calculate the product or quotient[tex]4-8-8[/tex]
______________________________________________________
Calculate the sum or difference[tex]-4-8[/tex]
[tex]-12[/tex]
I hope this helps you
:)
Estimate the sum of the decimals below by rounding to the nearest whole
number. Enter your answer in the space provided.
2.414
8.160
+ 2.621
Help (I also need help learning how too round too the nearest whole number:)
Answer:
13
Step-by-step explanation:
to round to nearest whole number if its .5 or above you go up 1. If it's .4 or below you go down 1.
2.414=2
8.160=8
2.621=3
add
2+8+3=13
if you just added the decimals you would get: 13.195. (This shows you have a good estimate.)
f(x)=2x^3-6x+k and the remainder when f(x) is divided by x+1=7 then what is the value of k
Given: f(x)=2x(cube)-6x+x
reaminder of f(x) when (x+1) diveded
to find value of k
solution,
f(x)=2x(cube)-6x+k
f(-1)=7
2(-1)(cube)+6+k=7
4+x=7
k=7
Hence,k=7
If a system has no solution, how does it look on the graph? What about infinite solutions?
Hi!
If a graph has no solutions, the lines will be parallel.
Lines have "solutions" when they intersect with eachother. If there are no solutions, the lines will not intersect. Only parallel lines don't intersect.
If a graph has infinite solutions, the lines will be the same.
If a line has infinite solutions, they have to constantly be intersecting. That means the lines will have to be directly on top of each other, meaning they will be the same line.
SEE BELOW for graphs. First graph = NO SOLUTIONS; Second graph = INFINITE SOLUTIONS
Explanation:
No solution:
A graph can only have no solutions if the two lines are parallel. These lines can only be parallel if they have the same slopes, but different y-intercepts. Please check attached graph (1) for illustration of no solution.Infinitely many solutions:
A graph can have infinitely many solutions if the two lines overlap. This can only happen if both the equations are the same or if simplified, are equivalent. Please check attached graph (2 and 3) for illustration of infinitely many solutions.What is the recursive rule?
Question 4 options:
an = 2an−1; a1 = 30,000
an = 2an+1; a1 = 30,000
an = 2n; a1 = 30,000
an = 2an; a1 = 29,500
The recursive rule for the sequence in simplified form is an = 2n; a1 = 30,000
How to write the recursive functionGiven the following parameters
a is the initial values = 30,000
If the amount doubles each year then b = 2
Let n be the number of years such that if the numbe r keeps doubling then:
an = 2n
First term a = 30000 (iniital value)
Hence the recursive rule for the sequence in simplified form is an = 2n; a1 = 30,000
Learn more on recursive rule here: https://brainly.com/question/2059043
Citlali buys a pen for $1.50. She then bought 4 pieces of cardstock. Her
total came to $3.70.What was the cost of each piece of cardstock?
Answer: 55 cents
Step-by-step explanation:
3.70-1.50 is 2.20
2.20÷4 because she bought 4 cardstocks is 0.55 cents
I just am confused what to do on 11-16 and if able to can’t 1-9 be checked
Answer:
add all the sides that you have and subtract it from 180
Step-by-step explanation:
What is the value of x?
59+55+854+456+456+7894
Answer :
59+55+854+456+456+7894=9,774
gradpoint, help me please yall :(
Answer: B
Step-by-step explanation: How do we find the local extrema? Let f be continuous on an open interval (a,b) that contains a critical x-value. 1) If f'(x) > 0 for all x on (a,c) and f'(x)<0 for all x on (c,b), then f(c) is a local maximum value. 2) If f'(x) < 0 for all x on (a,c) and f'(x)>0 for all x on (c,b), then f(c) is a local maximum value.
What is the solution to the system of equations
y=3x+7
2x+3y=32
Answer:
x=1, y=10
Step-by-step explanation:
I'm gonna use the method of substitution.
2x+3(3x+7)=32
2x+9x+21=32
11x=11
x=1
y=10
what are the exact volumes of x and y? (attached image)
Answer:
X is the value of y so work it out mothe
Answer:
Since already answered i need points so yea
Sami opened an account with a deposit of $4,000. The bank pays 3.5% annual simple interest on this account Sami did not make any additional deposits or withdrawals. How long will it take for Sami to earn $2,100 in interest on this account?
Answer: 15 months
Step-by-step explanation:
Stacey bookshelf measures 48 inches high 36 inches long and 24 in wide
Answer:
5,184 cubic inches
Step-by-step explanation:
PLEASE HELP WILL GIVE BRAINLIEST!!!!
Find the exact circumference of a circle with a diameter of 5 inches.
The circumference is
inches.
Answer:
15.7 in
Step-by-step explanation:
You can use the below formula to find the circumference of the circle.
C = π × d
Here,
d ⇒ diameter ⇒ 5 in
Let us find it now.
C = π d
C = 3.14 × 5
C = 15.7 in
Answer:
The exact diameter is 15.707963267948966192313216916398 inches multiplied by full form of pi.
________________________________________________________
SolveSet C as your substitute for circumference.
[tex]C =[/tex]
Now that we have this, we need to assign a value of pi long form followed by the diameter, which is 5 inches².
[tex]C = \pi d[/tex]
[tex]d = 5[/tex]
Lastly, ignore C, and multiply pi by the diameter, d.
[tex]\pi * d = 15.707963267948966192313216916398[/tex] without rounding
________________________________________________________
Questions?Ask in the comments box.
I need some help with this?
Answer:
9 is the answer
PLS TYPE 9
Step-by-step explanation:
99999
Maria and Sheila took part in a Mathematics competition. Sheila obtained 96 marks in the competition. If 2/5 of Maria's marks is equal to 1/4 of Sheila's marks, calculate the total marks obtained by both of them in the competition.
Maria and Sheila total marks are illustrations of proportions
The total marks obtained by both is 156
How to determine their total marks?The given parameters are:
Sheila = 96 marks
2/5 of Maria's marks = 1/4 of Sheila's marks
The second highlight above means that:
2/5 * Maria = 1/4 * 96
Multiply both sides by 5/2
Maria = 1/4 * 96 * 5/2
Evaluate the product
Maria = 60
Their total mark is then calculated as:
Total = Sheila + Mark
This gives
Total = 96 + 60
Evaluate the sum
Total = 156
Hence, the total marks obtained by both is 156
Read more about proportions at:
https://brainly.com/question/1781657
A rectangular prism has a base area of 14 in², and a height of 7 inches. What is the volume of the prism?
Enter your answer in the box.
Given Information :-
⠀
A rectangular prism, with dimensions,
Base area ( l x b ) = 14 in²Height = 7 in.⠀
To Find :-
⠀
The volume of the prism⠀
Formula Used :-
⠀
[tex] \qquad \star \: \underline{ \boxed{ \green{ \sf Volume = l \times b \times h }}} \: \star[/tex]
⠀
Here, we have already been provided with the base area that is the value of the product of length and breadth. Now, we just have to multiply the base area by height.
⠀
Solution :-
⠀
[tex] \sf : \implies Volume =14 \: {in}^{2} \times 7 \: {in}^{} \\ \\ \\ \sf : \implies Volume = \underline{ \boxed{ \frak{ \orange{ {98 \: in}^{3} }}}} \: \star \: \: \: \: \: \: \: \: \\ \\ [/tex]
Thus, the volume of the rectangular prism is 98 m³.
⠀
[tex] \underline { \rule{227pt}{2pt}} \\ \\ [/tex]
Answer:
98
Step-by-step explanation:
14 x 7=98
4x+8y=-11
X+2y=-7
Show your work
Answer:
No solutions.
Step-by-step explanation:
4x+8y=-11 (1)
X+2y=-7
Mutiply the second equation by -4:
-4x - 8y = 28
Now add this equation to equation (1):
0 + 0 = 17
which is absurd
So there are no solutions
The population density of a city is 121 residents per square mile. There are exactly 4,205 that live in the city.
What is the area of the city?
Answer:
34.75 ( that's round to the nearest hundredth )
Step-by-step explanation:
do the math
A road is 4350m long, correct to the nearest 10 metres. Kirsty drove along the road in 205 seconds, correct to the nearest 5 seconds.
The average speed limit for the road is 80km/h
Could kirsty’s average speed have been greater than 80km/h?
Kirsty's Average speed is not greater than 80km/h
What is speed?Speed is the rate of change of distance.
Analysis:
length of road = 4350m = 4350/1000km = 435/100km
time taken = 205 seconds = 205/3600 hour
Her Speed = 435/100 ÷ 205/3600 = 435/100 x 3600/205 = 76.4km/h
In conclusion, Kirsty's average speed is not greater than 80km/h.
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The height of a triangle is 4 times its base. If the triangle has an area of 162ft^2, find the length of the base and the height.
Answer:
base is root66 ft and height is 4root66 ft
Step-by-step explanation:
see the picture for full solution
pleas help in math!! i need an explanation on how you got he answer too please!!
(no links please!)
Answer:
a = 70 degrees.
Step-by-step explanation:
Use this circle angle theorem:
The angle subtended by an arc at the center of a circle = 2 times the angle subtended by the arc on the circumference.
So m < a = 1/2 * 140 = 70 degrees.
