Answer:
x = -15,46 thì y ≈ 34,46
x = 2,46 thì y ≈ 16,54
Step-by-step explanation:
x + y = 19 => x = 19 - y (1)
thay x = 19 -y vào phương trình 11x + x^2 = 2y ta có:
11 * (19 - y) + (19 - y)^2 =2y
=> 209 - 11y + 361 - 38y + y^2 = 2y
=> y^2 - 51y + 570 = 0
=> y ≈ 34,46 và y≈16,54
thay y ≈ 34,46 vào phương trình (1) có:
x = 19 - 34,46 = -15,46
thay y ≈ 16,54 vào phương trình (1) có:
x = 19 - 16,54 = 2,46
Answer:
Step-by-step explanation:
11x+x^2= 2y
Y + x = 19
Multiply and re-arrange second equation:
2y = 38 - 2x
Substitute into first equation:
11x + x^2 = 38 - 2x
Re-arrange:
x^2 + 13x - 38 = 0
Solve using quadratic formula:
x = (-13+(13^2-4*(-38))^(1/2))/2 or (-13-(13^2-4*(-38))^(1/2))/2
x = 2.46 or -15.46
Substitute back to solve for y:
y = 19 - 2.46 or 19 + 15..46
y= 16.54 or 34.46
Which one has infinity many solutions
Answer:
The correct options are:
3x - 4y = 15
15x - 20y = 75
(fourth option, counting fom the top)
5x + 6y = 20
-10x - 12y = -40
(last option)
Step-by-step explanation:
A system of linear equations has infinitely many solutions if and only if both equations define the same line.
Then we need to see which option describes twice the same line.
From the given options, the two with infinitely many solutions are:
3x - 4y = 15
15x - 20y = 75
How we check that? remember that we can multiply (or divide) both sides of an equation by the same number, and the equation remains unchanged.
So, if we take the first equation and multiply both sides by 5, we get:
5*(3x - 4y) = 5*15
15x - 20y = 75
Which is the same as the other equation, so both equations describe the same line.
The other system is the last one:
5x + 6y = 20
-10x - 12y = -40
If we take the first equation and multiply both sides by -2, we get:
-2*(5x + 6y) = -2*20
-10x - 12y = -40
So, again, both equations describe the same line.
Chandni compares two cylinders. Both cylinders have an identical base. The first cylinder has a height of 4 inches and a volume of 120 cubic inches. The second cylinder has a height of 7 inches. What is the volume, in cubic inches, of the second cylinder?
Answer:
33 Cubic inches
Step-by-step explanation:
The volume, in cubic inches, of the second cylinder is,
⇒ 210 inches³
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Chandni compares two cylinders. Both cylinders have an identical base.
Now, The first cylinder has a height of 4 inches and a volume of 120 cubic inches.
And, The second cylinder has a height of 7 inches.
Let the volume, in cubic inches, of the second cylinder is, x
Hence, We can formulate;
120 / 4 = x / 7
⇒ 120 × 7 = 4x
⇒ 4x = 840
⇒ x = 210 inches³
Thus, The volume, in cubic inches, of the second cylinder is,
⇒ 210 inches³
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how do u find 10% of 300
Answer:
30
Step-by-step explanation:
10/100 = x/300
10x300=3000
3000/100 = 30
Help me pls I do not know
A health magazine reported that 27% of adult males smoke cigarettes. To test this claim, they select 40 adult males at random and record if they smoke cigarettes. They calculate a 95% confidence interval for the proportion of adult males who smoke and find it is 0.22 to 0.28
Answer:
Point estimate = 0.25
Step-by-step explanation:
Complete question
Calculate the point estimate
Solution
Let A represents the number of adult males who smoke cigarettes
Calculation of 95% confidence interval for proportion of adult males who smoke cigarettes
[tex]p-z_\alpha \frac{p(1-p)}{n}[/tex] , [tex]p+z_\alpha \frac{p(1-p)}{n}[/tex]
[tex]p-z_\alpha \frac{p(1-p)}{n} = 0.22\\p+z_\alpha \frac{p(1-p)}{n} = 0.28[/tex]
Point estimate
Adding the above given equations we get -
2 * p = 0.50
p = 0.25
1
15
3x =
2
Circle the ratio
xiy
6:1
1:6
3:2
2:3
Question isnt well formatted :
Answer:
1 : 6
Step-by-step explanation:
Given the question :
3x = 1/2y
3x = y/2
Multiply both sides by 2
3x * 2 = y/2 * 2
6x = y
This can be interpreted as :
y = 6 times the value of x
x = y/6
x : y
1 : 6
mel paid for 3/4 of the cost of a cake and Gretchen paid the rest. If Mel paid $21, how much did Gretchen pay?
A formula for finding the perimeter of a rectangle is P=2L+2W. If you know the perimeter (P) and width (W) of a rectangle, which formula can you use to find the length (L)?
Step-by-step explanation:
→ P = 2L + 2W
→ P = 2(L + W)
→ P ÷ 2 = L + W
→ (P ÷ 2) - W = L
We can use this formula to to calculate the length.
what is the volume explain why will mark branniest GIVE ME EXPLANATION
Answer:
63 yd³
Step-by-step explanation:
V = lwh
V = 7 × 3 × 9
V = 189
Since the cubes are 1/3 yd³, you now multiply the volume of this figure which is if it were a 1 yd³.
189 × [tex]\frac{1}{3}[/tex]
63 yd³
Find the point below that lies on the line y - 6 = 3(x-5).
O A. (5,6)
O B. (1,-5)
O C. (6,5)
O D. (4, -3)
O E. (3,-1)
Find the surface area of the prism.
Answer:
108 cm²
Step-by-step explanation:
the surface area is the sum of all individual shapes areas on the surface.
2 right-angled triangles
3 rectangles
area of a right-angled triangle is At = a×b/2
At = 4×3/2 = 6 cm²
we need it twice : 12 cm²
one rectangle (length×width) = 8×3 = 24 cm²
one rectangle = 8×4 = 32 in²
one rectangle = 8×5 = 40 cm²
total surface area
A = 12+24+32+40 = 108 cm²
an area is always a square unit (power of 2).
a volume is always a cubic unit (power of 3).
and a length is always a simple unit (power of 1).
∠DEF and ∠FEG are supplementary. m∠DEF=(3x+5)°, and m∠FEG=(2x)°. What is the measure of ∠DEF?
Answer:
DEF = 110
Step-by-step explanation:
Supplementary angles add to 180
3x+5 +2x = 180
Combine like terms
5x +5 = 180
Subtract 5 from each side
5x = 175
Divide each side by 5
5x/5 = 175/5
x =35
DEF = 3x+5
= 3*35 +5
= 105+5
= 110
Find the area enclosed by x2=2y and y2=16x
Answer: [tex]\dfrac{32}{3}[/tex]
Step-by-step explanation:
Given
The parabolas are [tex]x^2=2y[/tex] and [tex]y^2=16x[/tex]
Find the point of intersection of two parabolas
[tex]\Rightarrow \left(\dfrac{x^2}{2}\right)^2=16x\\\\\Rightarrow x^4=64x\\\Rightarrow x(x^3-64)=0\\\Rightarrow x=0,4[/tex]
Obtain y using x
[tex](x,y)\rightarrow (0,0)\ \text{and }(4,8)[/tex]
Area enclosed between the two is
[tex]\Rightarrow I=\int\limits^4_0 ({4\sqrt{x}-\dfrac{x^2}{2}}) \, dx\\\\\Rightarrow I=\left ( 4\times \dfrac{2}{3}x^{\frac{3}{2}}-\dfrac{x^3}{2\times 3} \right) _0^4\\\\\Rightarrow I=\left ( \dfrac{8}{3}\times 8-\dfrac{4^3}{6} \right )-0\\\\\Rightarrow I=\dfrac{128-64}{6}\\\\\Rightarrow I=\dfrac{64}{6}\\\\\Rightarrow I=\dfrac{32}{3}[/tex]
Thus, the area bounded by the two parabolas is [tex]\dfrac{32}{3}[/tex] sq. units.
Multiply and simplify.
Sqrt of 15(3+5)=
Sqrt of 3 +
Sqrt of 5
Answer:
Please post the actual question
Step-by-step explanation:
Thanks
What is the surface area of the right cylinder below?
Answer:
Ok to find the surface area of this cylinder first we need the circumference to find this we do C=πd
C=3.14*18
C=56.52
now we have to multiple this by the height of two
113.04
now we have to find the area of the bottom to do this we do A=πR^2
A=3.14*81
A=254.34
multiple this by two for the two sides we get
508.68
now we add this to 113.04 we get
621.72
since I used 3.14 instead of more digits of pie we can round this up so the answer is C.
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BIFFY OUT!!!
a two digit number has the following properties. If you add the digits together and multiply the result by 10, you will get 9 more than the reverse number? FInd all the possibilities
Answer:
10, 11, 12, 13, 14, 15, 16, 17, 18, 19
Step-by-step explanation:
A two-digit number can be written as:
a*10 + b
Where a and b are single-digit numbers.
a is the tens digit
b is the units digit.
the reverse number is:
b*10 + a
We know that:
"If you add the digits together and multiply the result by 10, you will get 9 more than the reverse number"
Then:
(a + b)*10 = b*10 + a + 9
We now need to solve this for a and b, where the other restriction that we have is that a and b can be any whole number of the set {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}
Then:
(a + b)*10 = b*10 + a + 9
a*10 + b*10 = b*10 + a + 9
subtracting b*10 in both sides, we get:
a*10 = a + 9
solving this for a, we get:
a*10 - a = 9
a*(10 - 1) = 9
a*9 = 9
a = 9/9
a = 1
and notice that we do not have any restriction for b. So b can be any number of the set.
for example, if b = 2
a*10 + b = 12
now let's test the property:
10*(1 + 2) = 2*10 + 1 + 9
30 = 20 + 10 = 30
now if b = 4, we have:
a*10 + b = 1*10 + 4 = 14
10*(1 + 4) = 4*10 + 1 + 9
50 = 50
So we can see that for any value of b, this will work.
So the only restriction that we have, is that a must be equal to 1.
Then the numbers are:
10, 11, 12, 13, 14, 15, 16, 17, 18, 19
The possible numbers are 10, 11, 12, 13, 14, 15, 16, 17, 18 and 19
Assume the digits of the two-digit number are x and y, where:
x represents the tensy represents the unitsSo, the original number (n) is:
[tex]n = 10 \times x + y[/tex]
When the digits are added, and multiplied by 10, we have the following equation:
[tex](x + y) \times 10 = 9 + (y \times 10 + x)[/tex]
Expand the equation
[tex]10x + 10y = 9 + (10y + x)[/tex]
Remove bracket
[tex]10x + 10y = 9 + 10y + x[/tex]
Subtract 10y from both sides
[tex]10x = 9 + x[/tex]
Subtract x from both sides
[tex]9x = 9[/tex]
Divide both sides by 9
[tex]x = 1[/tex]
Recall that the number is represented as:
[tex]n = 10 \times x + y[/tex]
So, we have:
[tex]n = 10 \times 1 + y[/tex]
[tex]n = 10 + y[/tex]
This means that, the possible numbers are from 10 to 19
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The solution to the system of equations is (0, 4).
(PIC 1)
TRUE or FALSE
The solution to the system graphed below is (1, -2).
(PIC 2)
TRUE OR FALSE
Answer:
1 is false
2 is true
Step-by-step explanation:
The solution is the coordinate where the two lines intersect
For the first image the two lines intersect at (3,5) therefore (0,4) is not a solution to the system of equations
For the second image the lines intersect at (1,-2) therefore the statement is true
I am not sure how to solve this 3z-4 and 2z + 5 =
Which function has a period of 4pi
Answer:
y=1/2sin(1/2x)
Step-by-step explanation:
because i use my brain to count
Solve for x in IJK Algebra
Answer:
x = 60
Step-by-step explanation:
The sum of the angles in a triangle is 180
40 + x+20 + x = 180
Combine like terms
2x+60 =180
Subtract 60 from each side
2x+60-60 =180-60
2x =120
Divide by 2
2x/2 =120/2
x = 60
Step-by-step explanation:
option 2 is the answer....
PLS PLS PLS I NEED HELP
Given * inserted picture* find
Answer:
SinA=5/1 3 CosA=12/13 tanA=5/12. SinC=12/13 CosC=5/13 and tanC=12/5
Step-by-step explanation:
Basically find the third side by Pythagorean theorem which would get you 13. So 13 is the hypotenuse. Remember these 3 formulas. Sin=Opposite/Hypotenuse Cos=Adjacent/hypotenuse and Tan=opposite/Adjacent. So for Sin a the opposite side to angle A is 5. The hypotenuse is always the same which would be 13. So Sin a is 5/13. For cos the side adjacent would be 12. So it is 12/13. *Note Hypotenuse cannot be considered the adjacent.
Answer:
sin A = 5/13, cos A = 12/13, tan A = 5/12, sin C = 12/13, cos C = 5/13, tan C = 12/5
Step-by-step explanation:
According to Pythagoras, hypotenuse = √{(12)^2+(5)^2}. So, hypotenuse = 13. (See picture if confused).
sin A = 5/13
cos A = 12/13
tan A = 5/12
sin C = 12/13
cos C = 5/13
tan C = 12/5
if was x was 3 and y was 5 what is 2xsquared plus 3ysquared
Answer: 2*3^2 = 18 3*5^2 = 75 75 + 18 = 93
-4 + -2 =
Hurry it’s a test
hope it helps you ♡♡
Can someone help me with this question please.
Answer:
multiply by 2
Swings to track
20in = 40 yards
Track to bb court
8 in = 16 yards
how much further is the track from the swings
than from the bb court
40 - 16 = 24 yards
7. Suppose you roll a fair, six-sided die 2000 times and then make a histogram of your results. Which of the following would most likely be characteristics of the histogram you would obtain?
a. Skewed-right
b. Symmetric, with a central peak
c. Skewed-left
d. Uniform
Uniform would most likely be characteristics of the histogram obtain.
What is histogram?A histogram is a rough representation of the distribution of numerical data. The term was first coined by Karl Pearson.
The histogram is the width of the area covered by the x-axis bars. These are approximate values because the histograms show the bin values instead of the original data values.
If a histogram is bell-shaped, it can be modestly described by its center and width. The center is the location of its axis of symmetry. The spread is the distance between the center and one of its inflection points.
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Let X = the number of nonzero digits in a randomly selected 5-digit PIN that has no restriction on the digits. What are the possible values of X? Give three possible outcomes and their associated X values
Answer: there are total 100,000 5-digit PINs.
Three Possible outcomes Associated X values
12345 5
04555 4
00001 1
Step-by-step explanation:
Here, X = the number of nonzero digits in a randomly selected 5-digit PIN that has no restriction on the digits.
Possible number of outcomes = 10 x 10 x 10 x 10 x 10
= 100,000
Possible outcomes Associated X values
12345 5
04555 4
00001 1
Hence, there are total 100,000 5-digit PINs.
Three Possible outcomes Associated X values
12345 5
04555 4
00001 1
What does l.h.m.s.l.d.k.y mean in text?
Somebody answer ASAP
Find the length of the missing side, x. The triangle is not drawn to scale.
13
X
12
Jessie has three one-gallon containers. The first one has 1/5 of a gallon of juice, the second has 1/5 gallon of juice and the third has 1/5 gallons of juice. How many total gallons of juice does Jesse have?
If the half-figure below is reflected over the line of symmetry, what will the completed figure look like?
Answer:
3rd option
Step-by-step explanation:
Answer:
Its the third one because it has equal sides because the others are not.
Step-by-step explanation: