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Related Questions
8x^(2)+16x=42 completeing the square
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x
2
+
16
x
=
42
Step 2: Subtract 42 from both sides.
16
x
2
+
16
x
−
42
=
42
−
42
16
x
2
+
16
x
−
42
=
0
For this equation: a=16, b=16, c=-42
16
x
2
+
16
x
+
−
42
=
0
Step 3: Use quadratic formula with a=16, b=16, c=-42.
x
=
−
b
±
b
2
−
4
a
c
2
a
x
=
−
(
16
)
±
(
16
)
2
−
4
(
16
)
(
−
42
)
2
(
16
)
x
=
−
16
±
2944
32
x
=
−
1
2
+
1
4
46
or
x
=
−
1
2
+
−
1
4
46
Answer:
x
=
−
1
2
+
1
4
46
or
x
=
−
1
2
+
−
1
4
46
Chris has a collection of dimes and quarters worth $4.25. If she has 22 coins total, how many quarters does she have?
Answers
Given:
Chris has a collection of dimes and quarters worth $4.25.
To number of coins = 22
To find:
The number of quarters.
Solution:
Let x be the number of dimes and y be the number of quarters.
Total coins : [tex]x+y=22[/tex] ...(i)
we know that, 1 dime = $0.10 and 1 quarter = $0.25.
Total value : [tex]0.10x+0.25y=4.25[/tex] ...(ii)
Multiply equation (i) by 0.10 and subtract the result form (ii).
[tex]0.10x+0.25y-0.10(x+y)=4.25-0.10(22)[/tex]
[tex]0.10x+0.25y-0.10x-0.10y=4.25-2.20[/tex]
[tex]0.15y=2.05[/tex]
Divide both sides by 0.15.
[tex]y=\dfrac{2.05}{0.15}[/tex]
[tex]y=13.6667[/tex]
Number of quarter cannot be a decimal value.
[tex]y\approx 17[/tex]
Therefore, the number of quarter is about 17.
The equation 9 y minus 12 x = 36 is written in standard form. What is the first step when writing an equivalent equation which solves for y?
Answers
Answer:
9y-12x=36
9y=36+12x
y=(36+12x)÷9
Answer: y=8 and x=3
Example: Because 9*8=72 and 12*3=36
72-36=36
Find the slope of the line through the
given points: (5,-4) & (-1,-4).
Answers
Answer:
m=0
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
Since -4-(-4)=0, we know that the slope has to be zero since the numerator is zero.
HTH :)
jbv vh vhvbdhvbdhvbdv dvhdvdvhdjvdvDVdvdvfvfv chjdbcjhdVCHVdc
Answers
Answer:
yes
Step-by-step explanation:
if the length of the football field is 100 yards and the width is 53.3 yards what is the area
Answers
Answer:
It is 533 yards
Step-by-step explanation:
SImply multiply the length and the width of the football field to get it's area. 100 times 53.3 is 533 yards.
Answer:
5,330 yards^2
Step-by-step explanation:
Area = lw (length x width)
53.3 x 100= 5,330
Therefore, the area of the football field is 5,330 ft ^2
Nicole filled her tank for $38.50 for 21.5 gallons. How much did Nicole spend per gallon? (Write your answer with 2 decimal places)
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Answer:
$1.79 per gallon, I believe.
Step-by-step explanation:
Can you please help me with this
Answers
Answer:
log9
Step-by-step explanation:
Using the rules of logarithms
logx + logy = log(xy)
logx - logy = log([tex]\frac{x}{y}[/tex])
log[tex]x^{n}[/tex] ⇔ nlogx
Given
2(log18- log3) + [tex]\frac{1}{2}[/tex]log[tex]\frac{1}{16}[/tex]
= 2(log([tex]\frac{18}{3}[/tex] ) ) + log[tex](\frac{1}{16}) ^{\frac{1}{2} }[/tex]
= 2log6 + log[tex]\frac{1}{4}[/tex]
= log6² + log[tex]\frac{1}{4}[/tex]
= log36 + log[tex]\frac{1}{4}[/tex]
= log( 36 × [tex]\frac{1}{4}[/tex] )
= log9
If y= 1-x+x²/1+x-x² than how about y'=?
This question is about derived function.
Answers
Answer:
as
[tex]\frac{d}{dx}\left(1-x+\frac{x^2}{1}+x-x^2\right)=0[/tex]
so
[tex]y'=0[/tex]
Step-by-step explanation:
Given the function
[tex]y=\:1-x+\frac{x^2}{1}+x-x^2[/tex]
Taking derivative
[tex]\frac{d}{dx}\left(1-x+\frac{x^2}{1}+x-x^2\right)[/tex]
[tex]\mathrm{Apply\:the\:Sum/Difference\:Rule}:\quad \left(f\pm g\right)'=f\:'\pm g'[/tex]
[tex]=\frac{d}{dx}\left(1\right)-\frac{d}{dx}\left(x\right)+\frac{d}{dx}\left(\frac{x^2}{1}\right)+\frac{d}{dx}\left(x\right)-\frac{d}{dx}\left(x^2\right)[/tex]
as
[tex]\frac{d}{dx}\left(1\right)=0[/tex] ∵ [tex]\mathrm{Derivative\:of\:a\:constant}:\quad \frac{d}{dx}\left(a\right)=0[/tex]
[tex]\frac{d}{dx}\left(x\right)=1[/tex] ∵ [tex]\mathrm{Apply\:the\:common\:derivative}:\quad \frac{d}{dx}\left(x\right)=1[/tex]
[tex]\frac{d}{dx}\left(\frac{x^2}{1}\right)=2x[/tex] ∵ [tex]\mathrm{Apply\:the\:Power\:Rule}:\quad \frac{d}{dx}\left(x^a\right)=a\cdot x^{a-1}[/tex]
[tex]\frac{d}{dx}\left(x\right)=1[/tex] ∵ [tex]\mathrm{Apply\:the\:common\:derivative}:\quad \frac{d}{dx}\left(x\right)=1[/tex]
[tex]\frac{d}{dx}\left(\frac{x^2}{1}\right)=2x[/tex] ∵ [tex]\mathrm{Apply\:the\:Power\:Rule}:\quad \frac{d}{dx}\left(x^a\right)=a\cdot x^{a-1}[/tex]
substituting all the values in the expression
[tex]=\frac{d}{dx}\left(1\right)-\frac{d}{dx}\left(x\right)+\frac{d}{dx}\left(\frac{x^2}{1}\right)+\frac{d}{dx}\left(x\right)-\frac{d}{dx}\left(x^2\right)[/tex]
[tex]=0-1+2x+1-2x[/tex]
[tex]=0[/tex]
Hence,
[tex]\frac{d}{dx}\left(1-x+\frac{x^2}{1}+x-x^2\right)=0[/tex]
Therefore,
[tex]y'=0[/tex]
3/4+2/6 please answer this problem
Answers
Answer:
1 1/12
Step-by-step explanation:
find common denominator:
3/4=9/12
2/6=4/12
add:
9/12+4/12=13/12
simply:
13/12=1 1/12
hopefully this helps :)
Suppose that the weight (in pounds) of an airplane is a linear function of the amount of fuel (in gallons) in its tank. When carrying 15 gallons of fuel, the airplane weighs 1984 pounds. When carrying 40 gallons of fuel, it weighs 2124 pounds. How much does the airplane weigh if it is carrying 50 gallons of fuel?
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e and also buy tickets they can use for food or rides. Gwen pays the entry fee and buys 10 tickets. It costs her a total of $30. Tristan pays the entry fee and buys 15 tickets. It costs him a total of $40. Keith pays the entry fee and buys 10 tickets. It costs him a total of $30. In this task, you will create a system of equations and find the cost of each ticket. Let x represent the entry fee and y represent the cost of each ticket in dollars. Write an equation representing how much Gwen paid, Write an equation representing how much Keith paid.
Answers
Answer:
For Gwen:-
x + 10y = 30
x + 15y = 40 - Tristan
if we subtract the above equations:-
we get
5y = 10
y = 2
That is the cost of each ticket is $2.
Step-by-step explanation:
Answer:
Keith & Gwen Paid: y=10x+30
Tristan Paid: y=15x+40
Step-by-step explanation:
now gimmie my Ford Super Duty F-250 12'
Carl's mom sent him to the store to buy salt for the recipes. She is making two pumpkin pies and 1 five pound turkey. How much salt will she
need?
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1 teaspoon salt is required.
Hello! Can anyone please help me? The topic is angles.
Answers
Answer:
29/4 or 7.25
Step-by-step explanation:
Complimentary angles are two angles that add up to 90
Supplementary angles are two angles that add up to 180
Angle ABC = x
Angle CBD = 7y + 4
Angle DBE = 8y + x
If we can find the measure of angle CBD, then we can find x.
We know that CBD + DBE = 180 because they are supplementary. Therefore...
(7y + 4) + (8y + x) = 180
AND
(7y + 4) + (x) = 90
Now we can use algebra to solve for x and y...
Blah blah blah...
x = 29/4
y = 45/4
Will give brainliest!!!!
Explain how solving -7y > 161 is different from solving 7y > -161.
Answers
To solve -7y > 161, we divide both sides by -7 and we get y < -23. The inequality sign flipped because we divided both sides by a negative number.
To solve 7y > -161, we divide both sides by 7 and it leads to y > -23. The inequality sign does not flip in this case, because we are not dividing both sides by a negative number.
The similarities is that we end up with -23 on the right side, but the inequality signs are different.
3y + 6x + 2x + 7y
simply the given expression
Answers
Answer:
so the answer is 8x+10y
Step-by-step explanation:
since we have to combine like terms like
3y+7y = 10y
and 6x + 2x= 8x
hope this helps!1
What is the value of x?
Enter your answer in the box
672
X=
D
60°
х
Basic
45°
А.
B
Answers
9514 1404 393
Answer:
x = 3
Step-by-step explanation:
It is convenient to remember the ratios of side lengths of these "special triangles."
The side ratios of ΔABC are 1 : 1 : √2, so BC = AC/√2 = 6.
The side ratios of ΔBCD are 1 : √3 : 2, so BD = BC/2 = 6/2 = 3.
The value of x is 3.
Geraldo has 3 fewer marbles than Yan. Together, they have 21 marbles. Which equation
represents this situation?
x + (3 - x) = 21, where x is the number of marbles Geraldo has
x + (3 - x) = 21, where x is the number of marbles Yan has
x + (x - 3) = 21, where x is the number of marbles Yan has
x + (x - 3) = 21, where x is the number of marbles Geraldo has
Done
My Progress >
Answers
Answer:
x + (x-3) = 21
x + x - 3 = 21
2 x - 3 = 21
Explanation:
In this problem, let us first analyze the situation. It says here that Geraldo and Yan both had marbles of their own. The problem states that together, they have a total of 21 marbles. However, we know here from the problem that they have different number of marbles each. Geraldo seems to have lesser number of marbles than Yan. Yan have three marbles more than Geraldo.
We can write the equation starting from assigning the unknown.
We'll use x.
x is the number of marbles that Yan have.
if x is Yan's, then, we can say that x-3 is Geraldo's.
Put them together into the equation.
Yan's plus Geraldo's is equal to 21.
Substitute using the represented unknowns.
x + (x-3) = 21.
In solving, we can also rule out that:
x + x - 3 = 21
2 x - 3 = 21
2 x = 21 + 3
2 x = 24
x = 12
x - 3 = 9
Yan has 12 marbles
and Geraldo has 9 marbles.
Answer: X+(X-3)=21 or C
Triangle A has side lengths 3, 4, and 5. Triangle B has side lengths 6, 7, and 8.
1. Explain how you know that Triangle B is not similar to Triangle A.
2. Give possible side lengths for Triangle B so that it is similar to Triangle A.
Answers
9514 1404 393
Answer:
side lengths are not proportional6, 8, 10Step-by-step explanation:
1. The triangles are not similar because the ratios of side lengths are not the same:
3 : 4 : 5 ≠ 6 : 7 : 8
__
2. We can make the ratios be the same by multiplying the side lengths by a common value, such as 2:
3 : 4 : 5 = 6 : 8 : 10
If triangle B had side lengths of 6, 8, 10, then it would be similar to triangle A.
Two scuba divers are swimming below sea level. The locations of the divers can be represented by -30 feet and -42 feet. Which measure represents the location that is closest to sea level.
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Answer:
-30 feet
Step-by-step explanation:
it is -30 feet because that one is closest to sea level because -42 feet is -12 feet more than -30 feet. plsss give me brainliest plssss
Michael spent $210 on school supplies and books. This amount was 30% of his savings.
How much was his savings?
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how do you find a proportional relationship in a table?
Answers
AnsweTo see if multiple ratios are proportional, you could write them as fractions, reduce them, and compare them. If the reduced fractions are all the same, then you have proportional ratios.r:
Step-by-step explanation:
Answer:
You can find a proportional relationship in a table by seeing if there is a pattern like 1,5 or 2,10.
Step-by-step explanation:
Starling Co. is considering disposing of a machine with a book value of $12,500 and estimated remaining life of five years. The old machine can be sold for $1,500. A new
high-speed machine can be purchased at a cost of $25,000. It will have a useful life of five years and no residual value. It is estimated that the annual variable
manufacturing costs will be reduced from $26,000 to $23,500 if the new machine is purchased. The total net differential increase or decrease in income for the new
equipment for the entire five years is
Oa. decrease of S11,000
Ob. increase of $15,000
Oc decrease of S15,000
Od. increase of $11,000
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Graph a line with a slope of
−
2
5
−
5
2
minus, start fraction, 2, divided by, 5, end fraction that contains the point
(
−
3
,
5
)
(−3,5)
Answers
4272/6 use partial qutiants to divide
Answers
Answer:
712
Step-by-step explanation:
[tex]4272/6= 4200/6+72/6\\4272/6= 700 +12\\4272/6=712[/tex]
Hope this helps :D
Yomaro is buying soil for his garden. He needs to fill one pot with 2 quarts of soil and another pot with 2 gallons of soil. How many quarts of soil does he need
in all?
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Answer:
10 quarts
Step-by-step explanation:
Since one, 4 quarts = 1 gallon,
he needs (2*4)+2 quarts= 10 quarts of soil
The maximum cost is $35. what is inequality. that's the question, i didn't write this
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A teacher is making multiple copies of a 1−page homework assignment. The time it takes her in seconds based on the number of copies she makes is 5 times the number of copies plus 6. How many total seconds does it take the teacher to make 1 copy? How about 2 copies or 3 copies? By how many seconds does the total time increase for each copy?
Answers
Answer: I'm on it give me just a minute!!
Item 2
Multiply. Write the answer in simplest form.
3/7×1/4=
Answers
Answer:
in multiplication we just multiply
Step-by-step explanation:
3/7×1/4
3/28
PLEASE HELP!!!!!
Find AB and M
Answers
Answer:
Step-by-step explanation:
triangle ABC is an equilateral so all angles and sides are equal to each other
AB = 6
triangle DEF is an isosceles so two of its angles are equal to each other
a triangles angles add up to 180°
to find the measure of these angles we’ll write this equation:
x + x + 40 = 180
and solve for x
2x + 40 = 180
2x = 140
x = 70°
so mF is 70°