Answer:
x = -2, x= -5 , x= +5
Step-by-step explanation:
x^3 + 2x^2 -25x - 50 = 0
Factor by grouping
x^3 + 2x^2 -25x - 50 = 0
x^2(x+2) -25( x+2) = 0
(x+2) ( x^2 -25) =0
Using the zero product property
x+2 =0 x^2 -25 =0
x=-2 x^2 = 25
x= -2 Taking the square root of each side
x = ±5
Raj takes a taxi to the airport. He expects the taxi to travel at an average speed of 40 mph. The distance from Raj's house to the airport is 30 miles. If Raj's taxi actually travels at an average speed of 30 mph, how many more minutes does the journey take than expected?
Answer:
15 minutes more, as 60-45mins = 15 minutes
Step-by-step explanation:hope it helps
It will take 15 more minutes for the journey than the expected.
What is Speed?Speed is the unit rate in terms of distance travelled by an object and the time taken to travel the distance.
Speed is a scalar quantity as it only has magnitude and no direction.
Given that,
The distance from Raj's house to the airport is 30 miles.
He expects the taxi to travel at an average speed of 40 mph.
If he travels at a speed of 40 mph, let t be the time taken.
Speed = Distance / Time
40 = 30 / t
t = = 0.75 hours = 45 minutes
If Raj's taxi actually travels at an average speed of 30 mph, let t' be the time taken.
30 = 30 / t'
t' = 1 hour = 60 minutes.
t' - t = 60 - 45 = 15 minutes
Hence the journey takes 15 more minutes than expected.
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A water trough is 8 m long and has a cross-section in the shape of an isosceles trapezoid that is 40 cm wide at the bottom, 100 cm wide at the top, and has height 60 cm. If the trough is being filled with water at the rate of 0.1 m3/min how fast is the water level rising when the water is 30 cm deep?
Answer:
1.785 cm / min
Step-by-step explanation:
We have to the following equation:
V = A * L
The volume is equal to the area times the length, now, if we derive with respect to time we have:
dV / dt = dA / dt * L
Now, the area of a trapezoid is:
A = (Upper base + Lower base) / 2 * height
Now we have:
Upper base = 40 + h
Lower base = 40
Replacing we have:
A = (40 + h + 40) / 2 * h
A = (h ^ 2) / 2 + 40 * h
Now, we derive and we are left:
dA / dt = d [(h ^ 2) / 2 + 40 * h] / dh * dh / dt
dA / dt = (h + 40) * dh / dt
we replace dA / dt:
dV / dt = [(h + 40) * dh / dt] * L
We have that dV / dt is equal to 0.1 m ^ 3 / min, we know that 1m ^ 3 is equal to 10 ^ 6 cm ^ 3, therefore:
dV / dt = 10 ^ 5 cm ^ 3 / min
in addition L is equal to 8 m or what is equal to 800 cm, and also h at the required moment is 30 cm
we replace everything and we have:
10 ^ 5 = 800 * (30 +40) * dh / dt
dh / dt = 10 ^ 5/56000
dh / dt = 1.785 cm / min
Please help! Read the question down below!
Abraham currently has a balance of $3,075.21 in an account he has held for 13 years. He
opened the account with an initial deposit of $2,152. What is the simple interest rate on the
account?
2.3%
7.7%
3.3%
11.0%
Answer: 3.3%
Step-by-step explanation:
Amount = prt / 100
3075.21 = (2152 x r x 13)/100
Answer:
the answer is letter c
Step-by-step explanation:
let g(x)=3x+2. Find g(x) if x=5. The value of g(x) is ____ if X=5
Answer:
g(5)=17
Step-by-step explanation:
g(x)=3x+2
Let x = 5
g(5) = 3*5+2
= 15+2
= 17
Answer:
17
Step-by-step explanation:
Just substitute 5 into the position of X
.Two year ago my age was x years, then what was my age 5 years ago?
(1 Point)
x + 7
x -2 - 5
x - 5
x - 3
please answer neat will mark brain.
Answer:
9.110° and y are the same(alternate angles)
thus y=110°. 110+x=180(seplementary angles). thus x=180-110=70°
z(alternate)=70°
10.y=78°. x=(180-78)=102°. z=102°
11.x=83°. y=(180-83)=97°. z=97°
12.y=37°. x=(180-37)=143. z=143°
to confirm the answers all angles in a circle at the centre add up to 360°
Identify a pattern in this list of numbers. Then use this pattern to find the next number. (More than one pattern might exist, so it is possible that there is more than one correct answer.) 3, 5, 9, 15, 23, 33, _____
Answer:
a) 45
The sequence 3 , 5, 9 , 15 , 23 , 33 , 45
Step-by-step explanation:
Given The sequence 3 , 5, 9 , 15 , 23 , 33
First term = 3
Add 2 of first term
Second term = 3 +2 = 5
Add 4 of second term
Third term = 5 + 4 = 9
Add 6 of Third term
Fourth term = 9 + 6 = 15
Add 8 of fourth term
fifth term = 15 + 8 = 23
Add 10 of fifth term
sixth term = 23 + 10 = 33
Add 12 of sixth term
seventh term = 33 +12 = 45
Final answer:-
Now the sequence 3, 5, 9, 15, 23, 33, __45___
So this isn’t a test I just want to make sure I’m writing this correctly.
I have written 2x-18=-2y+12
Then I added 18 is that correct so far.
Answer:
[tex]3[/tex]
Step-by-step explanation:
[tex]2x-18=-2y+12[/tex]
[tex]y=12[/tex]
[tex]2x-18=-2(12)+12[/tex]
[tex]2x-18=-24+12[/tex]
[tex]2x-18=-12[/tex]
[tex]2x-18+18=-12+18[/tex]
[tex]2x=6[/tex]
[tex]\frac{2x}{2} =\frac{6}{2}[/tex]
[tex]x=3[/tex]
Answer:
x = 3
Step-by-step explanation:
=> 2x-18 = -2y+12
Given that y = 12
Putting in the above equation to get the value of x
=> 2x-18 = -2(12)+12
=> 2x-18 = -24+12
=> 2x-18 = -12
Adding 18 to both sides
=> 2x = -12+18
=> 2x = 6
Dividing both sides by 2
=> x = 3
Can someone help me with this ASAP I am so close to the end of this assignment!!!
Answer:
A
Step-by-step explanation:
[tex]\sqrt{(-5 - (-1))^{2} + (7 - 2)^{2} } = \sqrt{41}[/tex]
So the right answer is √41
please see the attached picture for full solution
Hope this helps
A company is looking to fill its Board of Directors position. 3 positions will be for men, 2
positions will be for women. There are 16 candidates, 9 men and 7 women. What is the
total possible outcome?
Answer:
1764 ways
Step-by-step explanation:
Given:
Men = 9
Women = 7
Required Men: 3
Required Women: 2
'
Required
Total Possible Outcome
The total possible outcome can be determine as follows;
Total = (Selection of Men) and (Selection of Women)
Calculating Selection of Men;
Let n represent total number of men; This implies that n = 9;
Let r represent number of men to select; This implies that r = 3;
The selection can be done in the following ways;
[tex]Male = nCr[/tex]
Where [tex]nCr = \frac{n!}{r!(n-r)!}[/tex]
[tex]Male = 9C3[/tex]
[tex]Male = \frac{9!}{3!(9-3)!}[/tex]
[tex]Male = \frac{9!}{3!(6)!}[/tex]
[tex]Male = \frac{9 * 8 * 7 * 6!}{3!6!}[/tex]
[tex]Male = \frac{9 * 8 * 7}{3!}[/tex]
[tex]Male = \frac{9 * 8 * 7}{3*2*1}[/tex]
[tex]Male = 84 ways[/tex]
Calculating Selection of Women;
Let n represent total number of men; This implies that n = 7;
Let r represent number of men to select; This implies that r = 2;
The selection can be done in the following ways;
[tex]Female = nCr[/tex]
Where [tex]nCr = \frac{n!}{r!(n-r)!}[/tex]
[tex]Female = 7C2[/tex]
[tex]Female = \frac{7!}{2!(7-2)!}}[/tex]
[tex]Female = \frac{7!}{2!(5)!}[/tex]
[tex]Female = \frac{7 * 6 * 5!}{2!5!}[/tex]
[tex]Female = \frac{7 * 6}{2!}[/tex]
[tex]Female = \frac{42}{2*1}[/tex]
[tex]Female = 21 ways[/tex]
Recall that
Total = (Selection of Men) and (Selection of Women)
Hence,
[tex]Total = 84 * 21[/tex]
[tex]Total = 1764 ways[/tex]
Solve the equation. Then check your solution.
-
(3a + 4) = 7
Helppp
Answer:
1
Step-by-step explanation:
-3a+4 =7
-4. _4
-3a=3
divide by -3 on both sides
a=-1
3+4=7
Answer:
a= [tex]-3\frac{2}{3}[/tex] or ≈ -3.66
Step-by-step explanation:
-(3a+4)=7
-3a-4=7
Add 4 to both sides
-3a=11
Multiply both sides by -1
3a= -11
Divide both sides by 3
a= [tex]-3\frac{2}{3}[/tex]
Can someone help me on these two questions?
Answer:
first is square and second in not rectangle I think it is trapezium
Find the area of the trapezoid.
Answer:
40cm^2
Step-by-step explanation:
A=a+b/2×h
A=6+10/2*5
A=16cm/2*5cm
A=8cm*5cm
A=40cm^2
Use the graphing calculator to graph the function f(x) = –StartRoot x EndRoot. Which list contains three points that lie on the graph of the function? (–9, 3), (–4, 2), (–1,1) (1,1), (4, 2), (9, 3) (–9, –3), (–4, –2), (–1,–1) (1,–1), (4, –2), (9, –3)
Answer:
(1,–1), (4, –2), (9, –3)
Step-by-step explanation:
In the picture attached, the plot of the function f(x) = -√x is shown.
To verify which points lie on the line we compute the following table.
x √x f(x) = -√x
1 1 -1
4 2 -2
9 3 -3
The points which lie on the graph will be (1,–1), (4, –2), and (9, –3) so the correct answer is option D.
What is a graph?A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
In the picture attached, the plot of the function f(x) = -√x is shown. To verify which points lie on the line we compute the following table.
x √x f(x) = -√x
1 1 -1
4 2 -2
9 3 -3
We can see that the above points are satisfying the function. Therefore points that lie on the graph will be (1,–1), (4, –2), and (9, –3) so the correct answer is option D.
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Select the ordered pair that is a solution
of this equation.
x-2y = -8
Click on the correct answer.
(2,1)
(2,5)
(5.2)
Answer:
(2,5)
Step-by-step explanation:
Choose values for x and substitute in to find the corresponding y values.
(2) - 2y = -8
2 = 2y - 8
10 = 2y
5 = y
(2,5)
Convert -3(x+2)^2-10 into standard form.
Please help me
Answer:
Step-by-step explanation:
graph each linear equation y equals negative 3x - 2
Answer: y=-(3x-2)= -3x+2
The intercept with y is 2
The intercept with x is 2/3
HELP ASAP :(
How are the following three expressions different from each other, if indeed they are? do not just state the value of each but explain what may be the same or different. Be as specific as you can be in your response.
1.(-2)^2
2.-2^2
3. -(2)^2
Answer:
1. 4
2. -4
3. -4
Step-by-step explanation:
Let's look carefully at each problem and explain it.
1. (-2)^2
This means find the square of the number -2. Since the square of a number means multiplying the number by itself, then
(-2)^2 means the product (-2) * (-2),
and since the product of two negative numbers is positive, then
(-2)^2 = (-2) * (-2) = 4
Answer is 4.
2. -2^2
Here, the exponent applies only to the 2, not to -2. This problem means square 2 and then take the opposite of the product. This can be written as
-(2^2)
-2^2 = -(2^2) = -(2 * 2) = -(4) = -4
Answer is -4.
3. -(2)^2
This is the same as problem 2 above. You square the 2 first, then take its negative.
-(2)^2 = -(2^2) = -(2 * 2) = -(4) = -4
Answer is -4
algebra 2! what’s the answer to this? will give you all my points.
Answer:
Step-by-step explanation:
this is a radical equation:
when x=1 y=0
reflected about x
-sqrt(x)
right 1 unit
-sqrt(x-1)
it looks like y-int is about (0,1/3)
vertically compressed by a factor of 1/3
-(1/3)sqrt(x-1)
if you think the y-int is more (0,1/4), then
the function is vertically compressed by a factor of 1/4
-0.25sqrt(x-1)
pls help this due before 11:59
Answer:
4th option is the correct answer
35 inches
Step-by-step Explanation:
[tex]w = 4 \frac{3}{8} = \frac{35}{8} \: in \\ \\ l = 3 \times \frac{35}{8} = \frac{105}{8} \: in \\ \\ perimeter \: of \: rectangle \\ = 2\bigg(l + w \bigg) \\ \\ = 2\bigg( \frac{105}{8}+ \frac{35}{8} \bigg) \\ \\ = 2 \times \frac{140}{8} \\ \\ = \frac{140}{4} \\ \\perimeter \: of \: rectangle = 35 \: in[/tex]
Find the surface area.
Answer:
A≈896.81
Step-by-step explanation:
This is an approximate answer. Use the formula SA = pi, radius, slant height + pi, radius squared. Plug it in in PEMDAS order.
P.S. SOmeone please tell me if this is wrong I will fix it. Thanks!
What is the area of the figure in the picture?
Answer:
[tex]26.14yd^2[/tex]
Step-by-step explanation:
Triangle
[tex]A=\frac{h_bb}{2} \\=\frac{4*6}{2} \\=12yd^2\\\\A=\frac{1}{2} \pi r^2\\=\frac{1}{2} \pi 3^2\\=14.14yd^2\\\\12+14.14=26.14yd^2[/tex]
Answer:
Step-by-step explanation:
The area of a circle knowing the diameter is 28.2743, now divide between 2: 14,13715
Now the area of the triangle give us: 9.238
9.238 + 14,13715 = 23.37515
The procedure is in the images
App used: CalculateMyFigure
What is the difference between the median number of electoral votes per state and the modal number (mode) of electoral votes?
State | Number of Electoral Votes
=================================
California | 55
Florida | 27
Illinois | 21
Kentucky | 8
Missouri | 11
Nevada | 5
North Carolina | 15
Texas | 34
Utah | 5
======================
A. 50
B. 10
C. 16
D. 11
Answer:
B. 10
Step-by-step explanation:
The median is the middle number, so to find it, we must list the numbers from smallest to largest :
5, 5, 8, 11, 15, 21, 27, 34, 55
The median is 15
The mode is what number occurs most often, which is 5.
The difference will be found by subtracting 5 from 15:
15-5=10
Answer:
10
Step-by-step explanation: you have to find the median number and subtract by 5
5,5,8,11,15,21,27,5
also the median is middle number subtract by 5 because it want the difference number of electoral votes per state
15-5=10
Find the mode of this data.
2, 8, 14, 7, 8, 13, 2, 20, 8, 17
A. 8
B.
13
C.
7
D.
17
HELPPPPP ASAPPPPP 30 pointsss!!!!!
A It is lunch time at I.S. 237 and the table below lists the lunches that have
been served so far. Based on the results in the table, what is the
probability the next student will choose pizza?
Answer:
3/10
Step-by-step explanation:
Pls it’s urgent my homework is due tomorrow PLS HELP
Answer:
i) x= -0.25, x=1.25
ii)x=1.5, x= -0.5 (notice the negative signs)
Step-by-step explanation:
So, to simply solve this(or estimate), notice what the equations say at the end of them!
0 and 2, and also notice the equations are exactly the same as the graph's.
This means, by substitution, we are look for the x-values at y=0, and at y=2
(because they are exactly the same, in those instances, we can just replace the equation with the value of 0, or 2 because they are equal)
Then all we have to do is imagine the lines of y=0(x-axis) and y=2, and find where the parabola intersects those lines.
And so, just find where they intersect, and you have got it!
Hope this helps!
What is the area, in square units, of the parallelogram shown below? A parallelogram ABCD is shown with height 9 units and base 7 units.
A. 21 square units
B. 56 square units
C. 63 square units
D. 81 square units
Answer: 63 square units
Step-by-step explanation:
Area of a parellelogram = b x h
7 x 9 = 63 square units
Answer:
63
The triangle can be moved to the other side making the parallelogram a rectangle with a length and width of 7 and 9
7 x 9 = 63
Step-by-step explanation:
If two coins are flipped, what is the probability that both coins will not land on heads?
0%
25%
50%
75%
Will mark as brainliest!
Answer:
50%
is the probability of this question
Answer:
25%
Step-by-step explanation:
We have 4 choices when flipping two coins, HH, HT, TH and TT where H and T are heads and tails respectively. The only option where both coins will not land on heads is TT so the probability is 1/4 = 25%.
How many seed pockets are there ?