Simplify the expression: Ava simplified the expression and said that the value is -1. Is Ava's solution correct? If not, find and explain her mistake. Give the correct solution.
Answers
Answer:
Ava's solution was not correct.
The correct solution is 1.
Step-by-step explanation:
The expression Ava was to simplify(as seen in the attachment) is:
[tex]\dfrac{(2x-3y)^2}{(3y-2x)^2}[/tex]
[tex]3y-2x=-2x+3y=-(2x-3y)[/tex]
On substitution of the result above into the denominator, we have:
[tex]\dfrac{(2x-3y)^2}{(-(2x-3y))^2}\\=\dfrac{(2x-3y)^2}{(-1)^2(2x-3y)^2}\\\\\text{Canceling out the like term} (2x-3y)^2, \text{we have:}\\=\dfrac{1}{(-1)^2}\\\\=1[/tex]
Therefore:
Ava did not take the square of the negative sign. This led her to have a negative result.
Ava's solution was not correct. The correct solution is 1.
Answer:
Ava correctly factored the denominator:
(3y - 2x) = [-(2x - 3y)] 2
But when she took the negative outside the braces, she did not keep the (-1) squared.
The correct solution is 1.
Step-by-step explanation:
used this and it was correct
Related Questions
This is about the domain and range. PLEASE HELP ME!
Answers
Answer:
[tex]\boxed{\mathrm{B}}[/tex]
Step-by-step explanation:
The domain is the set of all possible values for x (input).
There are no restrictions on x.
The domain is all real numbers.
The range is the set of possible values for y (output).
Let x = 0.
[tex]F(0)=5-(0)^2[/tex]
[tex]F(0)=5[/tex]
The maximum value of y is 5.
Let x = 50
[tex]F(50)=5-(50)^2[/tex]
[tex]F(50)=5-2500[/tex]
[tex]F(50)=-2495[/tex]
The minimun value of y is [tex]- \infty[/tex] from observation.
The values of x can be a negative number.
[tex]F(-5)=5-(-5)^2[/tex]
[tex]F(-5)=5-25[/tex]
[tex]F(-5)=-20[/tex]
The range of the function is less than or equal to 5 and greater than or equal to [tex]- \infty[/tex].
if the length is 4 inches, the width is 5 inches, and the height is 10 inches, what are the units for the volume
Answers
Answer:
Step-by-step explanation:
V=lwh=4*5*10=200 cubic inch or in^3
PLEASE HELP WILL GIVE EXTRA POINTS
A study is performed involving two remedies for midwest farm crops who experienced the worst drought in years. In the midwest, 450 crop fields were given randomly one of two remedies. Specifically, 220 were given Remedy A and 230 were given Remedy B. A total of 74 of the 450 crop fields were salvageable, 35 from Remedy A group and 39 from Remedy B group.
A significance test was performed for the following hypotheses and resulted in a p-value of 0.3822:
H0: Salvage rates are the same for Remedy A and B
Ha: Remedy B has a greater salvage rate
Part A: Interpret the p-value in terms of the context.
Part B: Using a significance level of α = 0.05, what can you conclude from the context of this study?
Answers
Answer:
Part A
The p-value indicates that the largest probability of having the two remedies having a difference as observed or larger than as observed being equal to 0.3822
Part B:
Given that the p-value of 0.3822 is larger than the significance level α of 0.05, we fail to reject the null hypothesis and we conclude that there is enough statistical evidence to suggest that the salvage rates are the same for Remedy A and B
Step-by-step explanation:
The p-value
The test statistic is given as follows;
[tex]Z=\dfrac{\hat{p}_1-\hat{p}_2}{\sqrt{\hat{p}(1-\hat{p})\left (\dfrac{1}{n_{1}}+\dfrac{1}{n_{2}} \right )}}[/tex]
[tex]\hat p_1[/tex] = 35/220 = 7/44
[tex]\hat p_2[/tex] = 39/230
[tex]\hat p[/tex] = 74/220 = 37/110
We get our test statistic z = -0.2996381
Part A
The p-value indicates that the largest probability of having the two remedies having a difference as observed or larger than as observed being equal to 0.3822
Part B:
Given that the p-value of 0.3822 is larger than the significance level α of 0.05, we fail to reject the null hypothesis and we conclude that there is enough statistical evidence to suggest that the salvage rates are the same for Remedy A and B.
Which transformation will map an isosceles trapezoid into itself
Answers
Richie wants to enlarge the square deck in his backyard. The area of the enlarged deck, A(x), can be modeled by the following function, where x is a side length in feet of the original square deck. What is the minimum potential area of the enlarged deck? A. 57 feet B. 14 feet C. 49 feet D. 106 feet
Answers
Answer:
b
Step-by-step explanation:
Answer:
its not 14 feet
Step-by-step explanation:
There were 6954 cases filed with the Supreme Court. Of these only 82 were decided by the Supreme Court. What percentage was decided by the Supreme Court
Answers
Answer:
Total no. of cases = 6954
No. of cases decided = 82
Percentage decided = (82/6954)x100 = 1.17%
Answer:
1.18%
Step-by-step explanation:
A percentage can be found by dividing the part by the whole. then multiplying by 100.
(part/whole) * 100
In this problem, the part is the cases decided by the Supreme Court. The whole is the total number of cases filed.
(cases decided / cases filed) *100
There were 82 cases decided by the Supreme Court, out of a total of 6,954 cases filed.
(82/6954) *100
First, solve the parentheses and divide.
0.0117917745* 100
Multiply
1.17917745 %
Round to the nearest hundredth. The 9 in the thousandth place tells us to round the 7 up to an 8 in the hundredth place.
1.18 %
About 1.18% of the cases filed were decided by the Supreme Court.
Sergio wants to buy both chicken and ham to serve at a holiday dinner. Chicken costs $4.29 per pound, and ham costs $6.99 per pound. The maximum amount Sergio can spend is $88.00. If x represents the number of pounds of chicken Sergio buys, and y represents the number of pounds of ham he buys, which inequality represents this situation?
Answers
Answer:
4.29x + 6.99y ≤ 88
Step-by-step explanation:
x represents the number of pounds of chicken he can buy and y represents the number of pounds of ham he can buy. Multiplying the price per pound by the number of pounds he will buy will give you the amount of money he will spend and here he has only $88. Which means the amount of money he will spend should be less than or equal to $88 as shown in the inequality above.
Hope this helps.
como resuelvo este ejercicio de matematica x +824 = 6 789 en propiedad uniforme
Answers
The number of widgets that a manufacturing plant can produce varies jointly as the number of workers and the time that they have worked. Find the constant of proportionality k to 2 decimal places if 305 workers work 2 hours and can produce 5880.4 widgets
Answers
Answer:
k = 9.64
Step-by-step explanation:
given data
workers w = 305
time t = 2 hour
produce widgets N = 5880.4
solution
we know that here
N ∝ w × t .....................1
when we remove directly proportional so here k constant
so equation will be
N = k × w × t .....................1
put here value and we get
5880.4 = k × 305 × 2
solve it we get k
k = 9.64
Circle X with a radius of 6 units and circle Y with a radius
of 2 units are shown.
Which steps would prove the circles similar?
6
0 Translate the circles so they share a common center
point, and dilate circle Y by a scale factor of 4.
0 Translate the circles so the center of one circle rests
on the edge of the other circle, and dilate circle Y by a
scale factor of 4.
Y
0 Translate the circles so they share a common center
point, and dilate circle Y by a scale factor of 3.
Os Translate the circles so the center of one circle rests
on the edge of the other circle, and dilate circle Y by a
scale factor of 3.
Answers
Answer:
Option C.
Step-by-step explanation:
It is given that radius of circle X is 6 units and radius of circle Y is 2 units.
Here, circle Y is smaller and circle X is larger.
[tex]\text{Scale factor}=\dfrac{\text{Radius of circle X}}{\text{Radius of circle Y}}[/tex]
[tex]\text{Scale factor}=\dfrac{6}{2}[/tex]
[tex]\text{Scale factor}=3[/tex]
If we translate the circles so they share a common center point, and after that we dilate circle Y by a scale factor of 3, then we get circle which is equal to circle X.
We know that, after dilation the figure and its image are similar.
Hence, we can say that both circles are similar.
Therefore, the correct option is C.
Answer:
the answer is c
Step-by-step explanation:
Translate the circles so they share a common center point, and dilate circle Y by a scale factor of 3.
edge 2020-2021
Use the following lines to answer the question. line g: y=−45x+75 line h: y=54x+34 Is line g perpendicular to line h? Why or why not? No, because the slopes of lines g and h have different signs. Yes, because the slopes of lines g and h are opposite and reciprocal. Yes, because the slopes of lines g and h are opposite and the y-intercepts are different. No, because the y-intercepts of lines g and h are different.
Answers
Answer:
No, because the y-intercepts of lines g and h are different.
Step-by-step explanation:
IM SOOOO STUCKKKK HELLPPPPPPPPPPP!!
Answers
Answer:
18
Step-by-step explanation:
x² = 16² + 30² - 2(16)(30)cos 30°
x² = 256 + 900 - 960(0.866)
x² = 1156 - 831.36
x² = 324.64
x = 18.02
Approx. 18
Please mark my answer as brainliest
Answer:
18.01
Step-by-step explanation:
c^2=a^2+b^2-2abcos 30=
= 16^2+30^2-2(16)(30)(cos30) cos30=0.866
= 1156-480√3 = 324.6156
c=√324.6156=18.01
Write the answer using scientific notation.
(2 x 10^13)^-2
Answers
Answer:
2.5 * 10^-27.
Step-by-step explanation:
(2 x 10^13)^-2
= 2^-2 x 10^-26
= 1/2^2 x 10^-26
= 0.25 x 10^-26
= 2.5 * 10^-27.
━━━━━━━☆☆━━━━━━━
▹ Answer
2.5 x 10⁻²⁷
▹ Step-by-Step Explanation
(2 x 10¹³)⁻²
2⁻²(10¹³)⁻²
0.25 x (10¹³)⁻²
0.25 x 10⁻²⁶
2.5 x 10⁻²⁷
Hope this helps!
- CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
On the planet Kudzu, the probability that an animal is blue is 0.20. The
probability that the animal is blue given that the animal is female is 0.20
Which statement is true?
HEELLLPP
Answers
The Answer is B! On Kuzdu, being female and being blue are independent events.
Step-by-step explanation:
Find the following information using the given image.
Answers
Answer:2.9
3
Step-by-step explanation:
Represent the electricity bill using a linear equation in 2 variables with respect to fixed charge and unit consumption in the month of April 2020, May 2020 and December 2019. Find the reason behind the variation of electricity bill explaining the use of different electric appliances. April bill -385 May bill - 395 December bill-275
Answers
Answer:
Step-by-step explanation:
If the kilowatt-hours stay proportional to the total bill, then you are using more electricity. If the bill goes up a lot more than the kilowatt-hours, then you are on some sort of "rate plan" that punishes peak usage
Stephanie wants to buy 's' tomato plants, and Diego wants to by 'd' tomato plants. Each plant costs $7. Stephanie will use a coupon that will give them $25 off the total cost of all their plants. Which expression represents the total cost of all the plants with the discount? *
Answers
Answer:
7·(s + d) - 25
Step-by-step explanation:
if each plant cost $7
and there are two plants so its 7 times (s+d)
and then the discount so its -25
hope this helps
Solve
3x2 - 5x - 1 = 0
Answers
Answer:
x = -0.18046, 1.84713
Step-by-step explanation:
Since we cannot factor the quadratic, we need to use quadratic formula ([tex]x = \frac{-b+/- \sqrt{b^2-4ac} }{2a}[/tex]):
a = 3
b = -5
c = -1
[tex]x = \frac{-(-5) +/- \sqrt{(-5)^2-4(3)(-1)} }{2(3)}[/tex]
[tex]x = \frac{5+/- \sqrt{25 + 12} }{6}[/tex]
[tex]x = \frac{5+/- \sqrt{37} }{6}[/tex]
Please solve part h you have to find thr value of x
Answers
Answer:
x=301
Step-by-step explanation:
first thing you must know the sum of angle
for this question the polygon has 6 sides (if you connect B and D)
so based on formula (n-2)×180; n is number of side
(6-2)×180=720
so the sum of angle in the polygon is 720
to find x you just need to subtract 720 with all the angle given in the diagram. (and don't forget the 90 degree that made from connected line B and D)
x=720-118-87-34-90-90
x=301
LMNP is a parallelogram. On a coordinate plane, parallelogram L M N P is shown. Point L is at (negative 4, 1), point M is at (2, 4), point N is at (3, 2), and point P is at (negative 3, negative 1). What additional information would prove that LMNP is a rectangle?
Answers
Answer:
D. LP ⊥ PN
Step-by-step explanation:
A rectangle is a four-angle parallelogram, so to demonstrate that LMNP is a rectangle, we must prove that LP is perpendicular to PN.
The vertical coordinates are L(-4,1), P(-3,-1) and N(3,2), then afterwards
PL = (-4 + 3, 1 + 1)
PL = (-1 , 2)
And,
PN = (3 + 3, 2 + 1)
PL = (6,3)
Now, consider the dot product,
PL.PN = (-1) (6) + (2) (3)
PL.PN = 0
As we can see that the two vectors having dot product is equal to zero as these vectors considered to be perpendicular.
Plus, It is mentioned that LMNP is a parallelogram
So,
m∠P = m∠M = 90° and m∠L = m∠N = 180° - 90° = 90°
Therefore all parallelograms angles are equal to each other
Therefore the LMNP is a rectangle
Answer:
D just took it on edgenunity
Step-by-step explanation:
One popcorn kernel weighs 1.23 grams. If a package of popcorn kernels weighs 2 kilograms, approximately how many popcorn kernels does the package hold?
Answers
Answer:
1626.02
Step-by-step explanation:
1 gram is 0.001 kilograms. The bag weighs 2 kilograms and each popcorn is 1.23 grams. 2 kilograms weigh 2000 grams.
COMBINE LIKE TERMS TO CREATE AN EQUIVALENT EXPRESSION!
0.25k + 1.5 − k − 3.5
REMEMBER MAKE AN EQUIVALENT EXPRESSION
Answers
Answer:
0.25k + 1.5 - k - 3.5 = -0.75k - 2.
Step-by-step explanation:
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar and ^ to indicate an exponent. Find the missing terms and write them in decreasing order of exponents.
Answers
Answer:
7m(3m^6 - m^4 + 7)
Step-by-step explanation:
This is a factorization question
All we want to do here is to factor out 7m from each term of the polynomial
This becomes;
21m^7 -7m^5 + 49m = 7m (3m^6 - m^4 + 7)
Put the linear inequality into slope-intercept form.
Answers
Answer:
y ≤[tex]\frac{7}{4}x - 5[/tex]
Step-by-step explanation:
We are to put the linear inequality;
7x - 4y ≥ 20
in slope intercept form.
We can rearrange the inequality as;
-4y ≥ - 7x + 20
Dividing throughout by -4 we get;
y ≤ [tex]\frac{7}{4} x[/tex] - 5
Note that the inequality sign '≥' changes to '≤' since we divided all through with a negative number.
Question 23 HELP ME PLEASE Write an equation in slope-intercept from for the parallel to y=3x-2 that passes through the point (5,-2). Type your equation in form y=mx+b
Answers
Answer:
y = 3x - 17
Step-by-step explanation:
Parallel lines have the same slope so the equation would be y = 3x + b
plugging in the points you get -2 = 3(5) + b
this is -17 = b
Solve 2(ax-by)+(a+4b)=0, 2(bx+ay)+(b-4b) using linear equation
Answers
Answer:
The answer is below
Step-by-step explanation:
2(ax-by)+(a+4b)=0 . . . 1)
2(bx+ay)+(b-4a) = 0 . . . 2)
Equation 1 gives:
2ax - 2by + a + 4b = 0 . . . 1)
Equation 2 gives:
2bx + 2ay + b - 4a = 0 . . . 1)
Multiplying equation 1 by a and equation 2 by b :
2a²x - 2aby + a² + 4ab = 0
2b²x + 2aby + b² - 4ab = 0
Adding together:
2a²x + 2b²x + a² + b² = 0
2x (a² + b²) = -(a² + b²)
2x = -1
x = -1/2
Multiplying equation 1 by b and equation 2 by a:
2abx · 2b²y + ab + 4b² = 0
2abx + 2a²y + ab - 4a² = 0
Subtracting:
2y(a² + b²) - 4(a² + b²) = 0
2y(a² + b²) = 4(a² + b²)
2y = 4
y = 2
escribe falso o verdadero según corresponda: Para comparar las fracciones [tex]\frac{7}{13}[/tex] y [tex]\frac{2}{11}[/tex] se comparan los denominadores 2 copia y escribe , segun corresponda [tex]\frac{4}{11}[/tex] - [tex]\frac{7}{3}[/tex]
Answers
Answer:
sorry bro don't read Spanish but it's not over 3
Step-by-step explanation:
Max has 8 8 boxes of cans for a food drive. Each box has 17 17 cans. Max gives half of the boxes to his teacher. Write an expression that represents the total number of cans in all the boxes that his teacher has.
Answers
Answer:
Total cans = 17 (4)
Step-by-step explanation:
If Max has 8 boxes and gives half of the boxes to his teacher, then the teacher has 4 boxes.
Now, the teacher has 4 boxes but each box has 17 cans inside. To represent how many cans the teacher has, we will need to multiply the number of boxes by the number of cans each box has,
Then, the Total number of cans = [tex]17(4)[/tex] = 68.
Thus, the expression that represents the total number of cans in all the boxes that the teacher has would be: Total cans = 17 (4)
In my town, gas prices are always listed to the thousandths place. Since the smallest coin
we have is the penny, we have to round them to the hundredths place. If the price of gas
is $7.961, what will the price be when we round it to the hundredths place?
Answers
Answer: 7.96
Step-by-step explanation:
Rounded to the nearest "Hundredths place" is the second digit in the decimal number which would be 6. 1 is less than 5 so you just get rid of them 1 and qualify it as 7.96
<!> Brainliest are much appreciated! <!>
PLSSS HELp simplify 3/5-√3 PLS SHOW WORK
Answers
[tex]\frac{3}{5-\sqrt{3} }[/tex]
= [tex]\frac{3(5 + \sqrt{3})}{5-\sqrt{3} (5 + \sqrt{3}) }[/tex]
= [tex]\frac{15 + 3\sqrt{3} }{5^{2} - \sqrt{3}^{2} }[/tex]
= [tex]\frac{15 + 3\sqrt{3} }{25-3 }[/tex]
= [tex]\frac{15 + 3\sqrt{3} }{22 }[/tex]