\(2x^2-10x=0\\2x(x-5)=0\\2x=0 \vee x-5=0\\x=0 \vee x=5\)
Answer:
Here
2x^2 - 10x = 0
2x^2 = 0 + 10x
2x^2 = 10x
x^2 = 10x ÷ 2
x^2 = 5x
2x^2 - 10x = 0
x^2 - 5x = 0
Step-by-step explanation:
first find the value of x and then put the value and slove
Please help me with this !
A. 6 minutes and 30 minutes.
B. Michelle walked more days than Sandra over the 9 week period.
Define the terms unit conversion?Unit conversion refers to the process of converting a quantity expressed in one unit of measurement to an equivalent quantity expressed in a different unit of measurement.
A. We know that the,
In 1 hour there is 60 minutes
\(\frac{1}{10}\) hours ⇒ 60 × \(\frac{1}{10}\) = 6 minutes
\(\frac{1}{10}\) hours = 6 minutes
Similarly,
\(5*\frac{1}{10}\) hours ⇒ 60 × \(({5*\frac{1}{10})\) = 30 minutes
\(5*\frac{1}{10}\) hours = 30 minutes
B. Michelle walks 1 hour every day of the week, so she walks a total of 7 hours per week. Over 9 weeks, Michelle will walk a total of:
7 hours/week x 9 weeks = 63 hours
Sandra walks 1 hour per day, but only on weekdays, so she walks a total of 5 hours per week. Over 9 weeks, Sandra will walk a total of:
5 hours/week x 9 weeks = 45 hours
Therefore, Michelle walked more over the 9 week period, and she walked:
63 hours - 45 hours = 18 hours more than Sandra.
Michelle walked 63 hours, which is 2 and 15/24 days (since 63 ÷ 24 = 2 with a remainder of 15).
Sandra walked 45 hours, which is 1 and 21/24 days (since 45 ÷ 24 = 1 with a remainder of 21).
Therefore, Michelle walked 2 and 15/24 - 1 and 21/24 = 0 and 18/24, or 3/4, more days than Sandra over the 9 week period.
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evaluate the function to find three points f(0)=
Answer:
f(0) = 0
Step-by-step explanation:
f(x) = -sqrt(x)
Let x= 0
f(0) = -sqrt(0)
f(0) = 0
Value of the given function \(f(x) = -\sqrt{x}\) for \(f(0) = 0.\)
What is function?" A function is defined as the relation between the given variable represents set of all input value should have one output each."
According to the question,
Given function,
\(f(x) = -\sqrt{x}\)
Substitute the different values for 'x' for the given function we get,
\(x=1 , f(1) = -\sqrt{1}\)
\(=-1\)
\(x=4 , f(4) = -\sqrt{4}\)
\(=-2\)
\(x=0, f(0) = -\sqrt{0}\)
\(=0\)
Therefore, given relation is a function.
Hence, value of the given function \(f(x) = -\sqrt{x}\) for \(f(0) = 0.\)
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A commercial jet travels 885 kilometers per hour. Engineers have designed other aircraft to travel faster. Write an inequality that is true only for speeds s for these aircraft’s. 885 is not part of the solution.
No links plz.
Answer:
s>885 (km/h)
Step-by-step explanation:
Since 885 is not a part of the inequality and the new aircrafts' speeds are greater than 885, speed s>885.
6.2m×3.2 show answer to 2dp
A lunch worker knows that it takes 4 bottles of juice to serve a table of 24 students how many bottles of juice are needed to serve 60 students
find the relative extrema for the following function. f (x )equals 3 x minus x cubed
The relative extrema for the following function. f (x )equals 3 x minus x cubed is (1, 2)
Using the first derivative test, you may check for any sign changes of f′ around the critical points of a given function and discover relative extrema, or local maxima and minima.
A critical point must transition from rising, or positive f′, to decreasing, or vice versa, at that point for the function to be said to have local extrema.
So, start by determining the first derivative of f,
f(x) = 3x-x³
f'(x) = 3 - 3x²
To determine the function's critical points,
f' = 0
3 - 3x² = 0
3x² = 3
x = 1
Putting value of 1 in f(x) = 3x-x³ = 3-1 = 2
So the local maxima is (1,2)
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help please will mark brainliest
Step-by-step explanation:
option number B.......
Answer:
A) Translating 20 units right
Step-by-step explanation:
The triangle is in the same orientation as it would be on the other side of n. It would be translated 20 units instead of 10 because you reflected the triangle twice so you would need to multiply 10 by 2. The 10 also represents the triangle only being reflected once. It would be to the right because the triangle moved to the right.
A ladder of length (2x+6) feet is positioned x feet from a wall. If the ladder reaches a height of (2x+4) feet along the wall. Find the longest leg.
A. 10ft
B. 24ft
C. 26ft
D. 13cm
Using the Pythagoras theorem, the longest leg has the length of 24 feet.
Given that,
A ladder of length (2x+6) feet is positioned x feet from a wall.
Height of the ladder = (2x + 6) feet
Distance of ladder from the wall = x feet
Height of the wall that the ladder is placed = (2x + 4) feet
These three lengths form s right triangle where (2x + 6) feet is the hypotenuse.
Longest leg is (2x + 4) feet
Using the Pythagoras theorem,
(2x + 6)² = (2x + 4)² + x²
4x² + 24x + 36 = 4x² + 16x + 16 + x²
4x² + 24x + 36 = 5x² + 16x + 16
x² - 8x - 20 = 0
(x - 10) (x + 2) = 0
x = 10 or x = -2
x = 2 is not possible.
So x = 10
Longest leg = 2x + 4 = 20 + 4 = 24 feet
Hence the length of the longest leg is 24 feet.
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Emily was offered a job after college earning a salary of $35,000. She will get a raise
of $2,000 after each year working for the company. Answer the questions below
regarding the relationship between salary and the number of years working at the
company.
, and the
The independent variable, x, represents the
dependent variable is the
depends on the
because the
A function relating these variables is C(x)
So C(4)
meaning 4
Answer:
Step-by-step explanation:
Salary offered to Emily after college = $35000
Rise in her salary = $2000 every year
Let she works for x years in the company,
Salary rise in her salary = $2000x
Total salary after x years = $(35000 + 2000x)
The independent variable x represents NUMBER OF YEARS and dependent variable is the TOTAL SALARY,because the SALARY depends on the NUMBER OF YEARS WORKED.
A function these variables is C(x) = 35000 + 2000x
So, C(4) = 35000 + 2000(4) = 43000, meaning 4 years later Emily will earn a salary $43000.
XZ is the perpendicular bisector of segment WY. Solve for k. Enter a NUMBER only.
The calculated value of k on the line is 9
How to determine the value of kFrom the question, we have the following parameters that can be used in our computation:
XZ is the perpendicular bisector of segment WY
This means that
WX = XY
substitute the known values in the above equation, so, we have the following representation
3k - 4 = 2k + 5
So, we have
3k - 2k = 4 + 5
Evaluate
k = 9
Hence, the value of k is 9
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Which of the following is equal to the ratio 5cm:5m:0.02km?
A. 10: 400 C. 1: 100: 400
B. 300:2000 D. 10: 500
Answer:
Its C. When you are getting ratios, we need to convert the units too...
The correct ratio which is equal to the ratio 5cm:5m:0.02km is,
⇒ 1 : 100 : 400
What is mean by Ratio?A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y.
Where, x and y are individual amount of two quantities.
And, Total quantity gives after combine as x + y.
We have to given that;
The ratio is,
⇒ 5cm:5m:0.02km
Now, We can simplify the ratio as;
⇒ 5 cm : 5 m : 0.02 km
⇒ 5 cm : 5 x 100 cm : 0.02 x 100000
⇒ 5 cm : 500 cm : 2000 cm
⇒ 1 : 100 : 400
Thus, The correct ratio which is equal to the ratio 5cm:5m:0.02km is,
⇒ 1 : 100 : 400
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Solve 3exponent3-2=9
Answer: No solution. 27=9
Given the function g(x) = -x² − 9x + 27, determine the average rate of change
of the function over the interval -9 ≤x≤-1.
The rate of change of the function g(x) in the interval -9 ≤ x ≤ -1 is 1
How to determine the rate of change?The rate of change of a function y = f(x) on the interval [a, b] is given by the formula below:
R = (f(b) - f(a))/(b - a)
Here the function is g(x) = -x² − 9x + 27 and the interval is [-9, -1], we can evaluate g(x) in both ends of our interval, then we will get the two values needed for the numerator, here we will get:
g(-1) = -(-1)² − 9*-1 + 27 = -1 + 9 + 27 = 35
g(-9) = -(-9)² -9*-9 + 27 = 27
Replacing that in the formula we can get the rate of change is:
R = (35 - 27)/(-1 + 9) = 8/8 = 1
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What is the prime factorization of 144? A) 2.72 B) 24 • 32 I C) 12.12 D) 22 • 62
Answer: So maybe D or B.
Step-by-step explanation:2to the 4-power x 3 to the 2nd power.
help please- asap :}
Answer:
The digits in bold are those that were given, and other two we had to fill. The table below contains the answer.
Step-by-step explanation:
We need to complete the table.
Positive Integer: value having + sign
Negative Integer : Value having - sign
The digits in bold are those that were given, and other two we had to fill
Positive Integer Negative Integer Value
15 -15 15
101 -101 101
4 -4 4
82 -82 82
1121 -1121 1121
33 -33 33
10 -10 10
999 -999 999
47 -47 47
1 -1 1
If a snail travels at a rate of of a mile every of an hour,
what is the unit rate in miles per hour?
Answer:
1mph or 1 mile per hour
Step-by-step explanation:
simple
Ignore blue circles pls help guys!!
Answer:
y = 40 , 32 , 56 , -32 , -72
Step-by-step explanation:
Plug your x into your equation for the answer.
Brainliest would be appreciated. :-)
what is the solution set for this inequality? -5x+30 >-10
By solving linear inequation, it can be calculated that
x < 8 is the solution of the inequality -5x+30 >-10
What is linear inequation?
At first, it is important to know about algebraic expression.
Algebraic expression consist of variables and numbers connected with addition, subtraction, multiplication and division.
Now, algebraic expressions are of different types. They are-
Monomial, Binomial and trinomial.
Algebraic expression with only one term is called monomial
Algebraic expression with two terms are called binomial
Algebraic expressions with three terms are called trinomial.
Algebraic expressions with more than three terms are called polynomial.
Based on degree, algebraic expression may be called as linear, quadratic, cubic and so on
Algebraic expression of degree one is called linear
Algebraic expression of degree two is called quadratic
Algebraic expression of degree one is called cubic
Inequation shows the comparison between two algebraic expressions by connecting the two algebraic expressions by >,<, ≥, ≤
A one degree inequation is known as linear inequation.
Here the given inequality is-
-5x+30 >-10
Now,
-5x + 30 > -10
-5x > -10 - 30
-5x > -40
x < \(\frac{-40}{-5}\)
x < 8
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Find the equation of the exponential function represented by the table below:
The equation of the exponential function represented by the table will be:
\(f(x) = 2(4)^{x}\)
An exponential function is a Mathematical function in the form f (x) = ax, where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0. The most commonly used exponential function base is the transcendental number e, which is approximately equal to 2.71828.
We know the equation of exponential function such as
\(f(x) = ab^{x}\)
Put x=0, and y=2 in the function
\(2 = ab^{0} \\2 = a\)
Also x=1, and y=8 in the function
\(8 = 2b^{1} \\b = 4\)
Thus,
\(f(x) = ab^{x} \\f(x) = 2(4)^{x}\)
Therefore, the equation of the exponential function represented by the table will be:
\(f(x) = 2(4)^{x}\)
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Write the inequality shown in this graph.
Answer:
y > -1/2 x + 4
Step-by-step explanation:
Equation of a line : (y-y1)/(y2-y1) = (x-x1)/(x2-x1)
(y-4)/(2-4)= (x-0)/(4-0)
(y-4)/-2 = x/4
(-y+4)/2 = x/4
-y+4 = 1/2 x
-y = 1/2 x - 4
y = -1/2 x + 4
the solutions of the inequality are the points above this line, so
y > -1/2 x + 4
Which of the functions below could have created this graph?
OA. F(x)=x²-x²-3x² +3
OB. F(x)=x+2x³ +5
OC. F(x)=-x-5x - 4x² +5
11
D. F(x)=-x¹¹+5x +4
The function that could have created the graph is \(F(x) = -x^8 - 5x^$ - 4x^2 + 5\)
Option C is correct.
How do we know?\(F(x) = -x^8 - 5x^$ - 4x^2 + 5\) could have created the graph because the graph of this function would exhibit a combination of linear and quadratic terms, resulting in a curve that has both positive and negative slopes.
We also notice that the other options do not have the appropriate combination of terms or the correct degree of the polynomial to match the given graph.
The shown above is a graph of quadratic function would create a downward-opening parabola.
In conclusion, the graph starts at a positive value and has a minimum point before increasing again.
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Dena is buying wallpaper. It costs $8.79 per meter. She needs 120 feet. How much will the wallpaper cost? Round to the nearest half dollar.
Answer:
321.50 dollars.
Step-by-step explanation:
Dena is buying wallpaper. It costs $8.79 per meter. She needs 120 feet. How much will the wallpaper cost? Round to the nearest half dollar.
This is a tricky math problem that requires some conversions and calculations. First, we need to convert feet to meters, because Dena lives in a country that uses the metric system. According to the search results , one foot is equal to 0.3048 meters. So, 120 feet is equal to 120 x 0.3048 = 36.576 meters.
Next, we need to multiply the length of the wallpaper by the price per meter to get the total cost. The total cost is 36.576 x 8.79 = $321.38.
Finally, we need to round the total cost to the nearest half dollar. This means we need to look at the cents part of the cost and see if it is closer to 0, 50 or 100. In this case, 38 cents is closer to 50 than to 0 or 100, so we round up the cost to $321.50.
Therefore, Dena will have to pay $321.50 for the wallpaper. That's a lot of money for some paper that will probably peel off in a few years! Maybe she should consider painting her walls instead.
The graph of a linear relationship contains the points (1,10) and (3,16) write the equation of the line in slope
Answer:
Step-by-step explanation:
The equation of the line with the given points is y = 6x - 4. This can be derived by calculating the slope of the line, which is 6, and then using the point-slope form of the equation of a line, y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line. In this case, the given points are (x1, y1) = (1, 10), so the equation of the line is y - 10 = 6(x - 1) or y = 6x - 4.
Answer y == 3
+7
Step-by-step explanation:
The graph of a linear relationship contains the points (1, 10) and (3, 16).
Write the equation of the line in slope-intercept fo
Step-by-step explanation:
the general slope-intercept form is
y = ax + b
a is the slope, which is the ratio of "y coordinate change / x coordinate change" when going from one point to another on the line.
b is the y-intercept - the y value when x = 0.
for the slope we see
x changes by +2 (from 1 to 3)
y changes by +6 (from 10 to 16)
so, the slope a is +6/+2 = 3
and the semi-ready equation is
y = 3x + b.
now we use one of the points in the equation to solve for b. I picked (1, 10) :
10 = 3×1 + b = 3 + b
b = 7
so, the full equation is
y = 3x + 7
Simplify 3/4(12x−1/3)−4x
Answer:
\(5x - \frac{1}{4}\) OR 5x - 0.25
Step-by-step explanation:
\(\frac{3}{4}(12x-\frac{1}{3})-4x\)
Distribute the fraction:
\((9x-\frac{1}{3}*\frac{3}{4} )-4x\)
Multiply across:
\((9x-\frac{3}{12} )-4x\)
Simplify and remove parenthesis:
\(9x-\frac{1}{4} -4x\)
Combine like terms:
\(5x - \frac{1}{4}\)
Simplify fraction if demanded:
5x - 0.25
In a large clinical trial, 392,727 children were randomly assigned to two groups. The treatment group consisted of 196,925 children given a vaccine for a certain disease, and 29 of those children developed the disease. The other 195,802 children were given a placebo, and 112 of those children developed the disease. Consider the vaccine treatment group to be the first sample. Identify the values of n1, p1, q1, n2, p2, q2, p, and
The values of p₂ = 0.00057 and the value of q₂ = 0.99943.
In this problem, we can consider the vaccine treatment group to be the first sample (sample 1), and the placebo group to be the second sample (sample 2).
n₁ = 196925 (the size of sample 1)
x₁ = 29 (the number of successes in sample 1)
p₁ = x₁/n₁ = 29/196925 ≈ 0.00015 (the proportion of successes in sample 1)
q₁ = 1 - p₁ ≈ 0.99985 (the proportion of failures in sample 1)
n₂ = 195802 (the size of sample 2)
x₂ = 112 (the number of successes in sample 2)
p₂ = x₂/n₂ = 112/195802 ≈ 0.00057 (the proportion of successes in sample 2)
q₂ = 1 - p₂ ≈ 0.99943 (the proportion of failures in sample 2)
p = (x₁ + x₂)/(n₁ + n₂) = (29 + 112)/(196925 + 195802) ≈ 0.00044 (the overall proportion of successes)
Note that p is a weighted average of the sample proportions p₁ and p₂, with the weights proportional to the sample sizes n₁ and n₂.
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it is 4.5 miles from moulton to filby via Burnham and denton how far is it between denton and filby
Answer: I think that the answer is 3/4 miles
Step-by-step explanation:
Which must be true in order for the relationship
ZYX WVU to be correct?
N
ZY || WV
ZZZY and ZW=ZV
ZY YX and WV = VU
ZZZW and ZX=ZU
According to the AA similarity theorem, the statement that must be true is: D. ∠Z ≅ ∠W and ∠X ≅ ∠U.
What is the AA Similarity Theorem?The AA similarity theorem states that if two angles in one triangle is congruent to two corresponding angles in another triangle, then both triangles are similar.
For △ZYX ~ △WVU, any two pairs of corresponding angles must be congruent.
Therefore, the statement that must be true based on the AA similarity theorem is: D. ∠Z ≅ ∠W and ∠X ≅ ∠U.
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The debate club needs $240.00 to attend a debate tournament. The
club decides to sell cups of iced tea and lemonade at baseball games.
Iced tea will be sold for $.50 per cup and lemonade will be sold for
$.80 per cup.
How much is needed of each to raise $240?
Answer: 480 and 300
Step-by-step explanation:
240 divided by 0.50 = 480
240 divided by 0.80 = 300
How many 20kobo make up #20
Answer:
100
Step-by-step explanation:
#20 naira - 20 * 100
= 2000kobo
2000/20
100
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find the ratio of 81 to 108
Answer: 3:4
Step-by-step explanation:
Answer:
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