Answer:
this system has no solutions
A rectangular poster is to contain 578 square inches of print. The margins at the top and bottom of the poster are to be 2 inches, and the margins on the left and right are to be 1 inch. What should the dimensions of the poster be so that the least amount of poster is used?
Answer:
19 by 38
Step-by-step explanation:
The area of the poster, A=xy
Margin at both up and bottom is 2inches, at the right and left is 1 inch
Then we can say
(x-4)(y-2)= 578
Let us make y subject of the formula
(y-2)= 578/(x-4)
y=[ 578/(x-4)] + 2
If we substitute into the area A equation we have
A= x { [ 578/(x-4)] + 2}
A= 2x + (578x)/(x - 4)
If we differentiate we have
A'(x)= [2+578(x-4)+578x ]/ (x-4)^2
=[ 2(x-4)^2 + 578(x -4) + 578x ] / (x-4)^2
=[ 2(x^2 - 8x +16) + 578(x-4) + 578x ] /(x-4)^2
If we simplify this we have
=[ 2x^2 -16x +32+578x -578x - 2312]/ (x-4)^2
=( 2x^2 -16x - 2312) / (x-4)^2
At A'(x)= 0
= ( x^2 - 8x - 2312) / (x-4)^ =0
If we divide through by 2 we have
x^2 - 8x - 1156= 0
Solving the quadratic eqn( CHECK THE ATTACHMENT)
X= 38 or -30 then we choose the positive one, then x= 38
Then from area of the poster
A= (x-4)(y-2)= 578
Substitute 38 as value of x
(38-4)(y-2)= 578
34(y-2)=578
34y-68=578
34y=646
y=19
Hence dimensions of the poster is 19 by 38
CHECK THE ATTACHMENT FOR QUADRATIC SOLUTION
Please help me with this question! Will mark brainliest :)
Answer:
option c ) y = 3x -2
given, y=10 & x=4
let's equate in equation
y = 3x -2
LHS = Y = 10 ( given )
RHS = 3X -2 = 3(4)-2
= 12-2
= 10
SO, LHS = RHS
hence , SATISFIED ✔️
we end here ^^"
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help me with this now please
Step-by-step explanation:
davis is right.
Help will give crown
Answer:
8
Step-by-step explanation:
from A to B it's 8 units long
Find the distance between the two points in simplest radical form.
(-3,-2) and (-8,4)
Answer:
Submit Answer
✓
attempt 1 out of 2
Answer:
y=−2/5x+4/5y
Step-by-step explanation:
Hope's this helps
what is 7 + 7 +7+7+7+7 x 0
XD
Answer:
35
~
Just simplify the expression and you'll get:
35
~
You might be wondering why isn't the answer 0, since anything multiplied by 0 is 0.
~
It's because to answer this question, you will need to use PEMDAS.
P, Parenthesis.
E, Exponents.
M, Multiply.
D, Divide.
A, Addition.
S, Subtraction.
~
Since we don't have parenthesis, exponents, a division sign, or subtraction sign.
All we need to do is Mutiply, and Add.
~
First we multiply, because of the PEMDAS order.
7 * 0 = 0
~
Then, since we used one of the 7's to multiply. (The one next to the 0)
We add the rest of them, not including the last seven.
There are six, sevens.
But we already used one.
So we will add only the other five.
7 + 7 + 7 + 7 + 7 = 35.
7 * 5 = 35
~
And that's it.
You got your answer, 35.
( FOOLISH ANSWERS WILL BE REPORTED) help i will give brainliest 6th grade mαth
Answer:
33.8
Step-by-step explanation:
33.8 is the closest to half of 65.
9514 1404 393
Answer:
125
Step-by-step explanation:
The proportion you want is ...
[tex]\dfrac{\text{part}}{\text{whole}}=\dfrac{65}{\text{?}}=\dfrac{52}{100}\\\\6500=52\cdot\text{?}\qquad\text{cross multiply}\\\\\dfrac{6500}{52}=125=\text{?}\qquad\text{divide by 52}[/tex]
52% of 125 is 65.
__
Comment on the formulation
You can write the same proportion 4 ways. I find it convenient to choose one that has the unknown in the numerator. Here, that means you would write it ...
whole/part = 100/52 = ?/65
Then the solution is one step: multiply by 65.
Katrina wants to build a fence around her Square Garden the garden has an area of 121 square feet How much Fencing will Katrina Need?
A. 13 Feet
B. 26 Feet
C. 39 Feet
D. 44 Feet
Answer:
D. 44 because its the primemiter
Solve for W
8/10 = w/15
Answer:
12 because 12/15 =.8 so does 8/10
Answer:
w=12
Step-by-step explanation:
8/10 is equal to 4/5. 4/5 is equal to 12/15. Therefore, W represents 12.
Brainliest are always appreciated :)
what’s the hypotenuse of c ?
Answer:
it would be A 160
Step-by-step explanation:
4 square plus + 12 square = 16+144=160
Joanna is 152cm tall .Kristal is 8cm shorter what is the sum of heights.
Answer:
296 cm
Step-by-step explanation:
Joanna is 152cm tall
Kristal is 152 - 8 = 144 cm
The sum of the heights is
152 + 144 =296 cm
Determine whether each equation is True or False. In case you find a "False" equation, explain why is False.
Answer:
(1) TRUE.
(2) FALSE.
(3) FALSE.
(4) TRUE.
(5) FALSE.
Step-by-step explanation:
(1) [tex]\sqrt{32} = 2^{\frac{5}{2} }[/tex]
[tex]2^{\frac{5}{2} } = (\sqrt{2} )^5 = (\sqrt{2} \ \times \ \sqrt{2} \ \times \ \sqrt{2} \ \times \ \sqrt{2} \ \times \ \sqrt{2}) = 4\sqrt{2}\\\\\sqrt{32} = \sqrt{16 \ \times \ 2}\ = \ \sqrt{16} \ \times \ \sqrt{2} \ = \ 4\sqrt{2}[/tex]
Thus, the equation is TRUE.
(2) [tex]16^{\frac{3}{8} } = 8^2[/tex]
[tex]16^{\frac{3}{8} } =(2^4)^{\frac{3}{8} } = 2^\frac{3}{2} }= (\sqrt{2} )^3 = (\sqrt{2} \ \times \ \sqrt{2} \ \times \ \sqrt{2}) = 2\sqrt{2} \\\\8^2 = 64[/tex]
Thus, the equation is FALSE.
(3) [tex]4^{\frac{1}{2} } = \sqrt[4]{64}[/tex]
[tex]4^{\frac{1}{2} }= \sqrt{4} = 2\\\\\sqrt[4]{64} = (64)^{\frac{1}{4} } = (2^6)^{\frac{1}{4} }= 2^{\frac{6}{4} } = 2^{\frac{3}{2} }=(\sqrt{2} )^3 = (\sqrt{2} \times \sqrt{2} \times \sqrt{2} ) = 2\sqrt{2}[/tex]
Thus, the equation is FALSE.
(4) [tex]2^8 = (\sqrt[3]{16} )^6[/tex]
[tex]2^8 = 256\\\\ (\sqrt[3]{16} )^6 = (16)^{\frac{6}{3} } = (2^4)^{\frac{6}{3} } = (2)^{\frac{24}{3} } = 2^8 = 256[/tex]
Thus, the equation is TRUE.
(5) [tex](\sqrt{64} )^{\frac{1}{3} } = 8^{\frac{1}{6} }\\\\[/tex]
[tex]8^{\frac{1}{6} } = (2^3)^{\frac{1}{6} } = 2^{\frac{3}{6} } = 2^{\frac{1}{2} } = \sqrt{2} \\\\(\sqrt{64} )^{\frac{1}{3} } = (2^6)^{\frac{1}{3} } = 2^{\frac{6}{3} } = 2^2 = 4[/tex]
Thus, the equation is FALSE.
solve the following system of equations y=2x+10. y=3x+12
Answer:
1. Slope: 2 y-intercept: (0,−10)
2. Slope: 3 y-intercept: (0,12)
Step-by-step explanation:
Multi-Step Equations Escape Room
record the triangle from left to right (level 2)
Answer:
Not enough data
Step-by-step explanation:
write a function rule for the area, A, of a rectangle whose length is 6ft more than its width, w
9514 1404 393
Answer:
A = w(w +6)
Step-by-step explanation:
The length in feet will be w+6. The area is the product of length (w+6) and width (w).
A = w(w+6)
Help me guys plsss!!!!!
Answer:
I have no idea
Step-by-step explanation:
I NEED HELP! what shape is symmetry ?
Answer:
E, the heart
Step-by-step explanation:
Answer:
The heart
Step-by-step explanation:
It is able to flip and still look the same
Holly bought a magazine subscription for a year. She paid $27. Holly wanted to find the price, p, of the subscription each month. She created the model shown to help find this price. 27 р |р |р |р |р |р |р |р | Р | Р |р | p What was the price of the subscription each month? F $39.00 G $2.25 H $324.00 3 $22.50
Answer:
2.25 should be the right answer
What is the final amount if 1102 is increased by 2% followed by a further 1% increase?
Answer:
the final amount is 1,135
Step-by-step explanation:
The computation of the final amount is shown below:
= Amount × (1 + increased percentage)
= 1102 × (1 + 0.02)
= 1102 × 1.02
= 1124.04
Now the additional one percent increase is
= 1,124.04 × 1.01
= 1,135
Hence, the final amount is 1,135
The same is to be considered
Write and solve an equation for each problem situation. Define the variable
A) Scott spent half of his weekly allowance on music.
To help him earn more money, his parents let him wash the car for $6.53. What is his weekly allowance if he ended with $12.03
Answer:
His weekly allowance is $5.50.
Step-by-step explanation:
12.03 - 6.53 = $5.50
I'm not 100% sure this is accurate. Good Luck!
c + 1/4c
please help me i need this done now
Answer:
[tex]1\frac{1}{4} c[/tex]
Step-by-step explanation:
[tex]c+\frac{1}{4}c[/tex]
Rewrite the expression
[tex]= 1c+\frac{1}{4} c[/tex]
Add
[tex]= 1\frac{1}{4} c[/tex]
Therefore, [tex]c+\frac{1}{4}c[/tex] is equal to [tex]1\frac{1}{4} c[/tex].
I hope this helps!
I NEEP HELP ASAP PLEASE AND THANK YOU
Answer:
The first answer, 3 times the square root of x squared is correct.
Which of these is the algebraic expression for "4 times the sum of 2 and y?"
4. 2 + y
4(2 + y)
2 +4.7
2(4 + y)
What is the simplest form of expression
Evaluate the expression 7[tex]x^{2}[/tex]y, when x = 5 and y = 3. (3 points)
Group of answer choices
210
728
525
315
Choose the number that is 5 more than a square number.
21
34
35
65
76
Answer:
21
Step-by-step explanation:
this requires practical assumption.
take 9 for example
5 more than 9 means 9 - 5 = 4
4 is a square number
21 = 21 - 5 = 16
16 is a square number
34 = 34 - 5 = 29
29 is not a square number
35 = 35 - 5 = 30
30 is not a square number
65 = 65 - 5 = 60
60 is not a square number
76 = 76 - 5 = 71
71 is not a square number
4х – Зу = 34
3х + 2y = 17
can i plz get some help
Answer:
36
Step-by-step explanation:
what is 5/8 divided by 4
Answer:
0.156
Step-by-step explanation:
Answer:
5/32
Step-by-step explanation:
[tex] \frac{5}{8} \div 4 \\ \\ = \frac{5}{8} \times \frac{1}{4} \\ \\ = \frac{5 \times 1}{8 \times 4} \\ \\ = \frac{5}{32} [/tex]
PLEASE HELP!!!
The temperature in Country Y is at least 7 degrees colder than in Country X. Write an Inequality and graph it.
Solution:
Let temperature in Country Y be
y
and temperature in Country X be
.
"Temperature in Country Y is is at least 7 degrees colder than in Country X."
At least tells us that the inequality sign is
>=
and that the difference in temperature is at least 7
x-y>=7
x>=7+y
x-7>=y
y =7
in your own words.
2. What are the basic steps to be followed in graphing a two-variable linear inequality?
3. In the solution graph, why is the line
y =7
?
How can you find if a point is a solution to inequality?
Answer:
1)x-y>7
x>7+y
x-7=y
y =7
If it has to be at least 7 then 7 is less than all of them or equal to it.
2) Step 1: Always start by isolating the variable y on the left side of the inequality.
Step 2: Change the inequality to equality symbol. ...
Step 3: Graph the boundary line from step 2 in the X Y − XY- XY−plane. ...
Step 4: The last step is to shade one side or region of the boundary line.
3) The solution graph is y=7 because there is no possible x or x=0
you can find a point in an inequality in the shaded region of the graph. Any of the points in the shaded region work as a solution of the inequality
Hope I helped!!