Answer:
The error was made when they factored out the i, so this would be the distributive property they did not do correctly.
Factoring out the i was never needed.
Answer:
She shouldn't have factored out the i.
Step-by-step explanation:
In both parentheses, only one of the two additives had an "i" in it, so only one of them could have i factored out of it. If she wanted to factor out the i, the equation would look like this:
(4/i + 5)i + (-3/i + 7)i.
If anything, she should have done:
5i+7i + 4-3=
12i + 1.
Factoring out the i was unnecessary.
Hope this helps!
if the denominator of a fraction is multiplied by 2,the value of the fraction is
Answer:
Half of its original
Step-by-step explanation:
When multiplying a denominator by a whole number, he value decreases accordingly, in other word, it changes inversely.
Examples:
In 1/2, if 2 is multiplied by 2, the value becomes 1/4, which is half of 1/2
In 1/4, if 4 is multiplied by 2, the value becomes 1/8 which is half of 1/4.
Hope this helps
Good luck
Starting at home, Luis traveled uphill to the gift store for 50minutes at just 6 mph. He then traveled back home along the same path downhill at a speed of 12mph.
Answer:
Average speed for the entire trip, both ways, is
(Total distance) divided by (total time) .
We don't know the distance from his house to the gift store,
and we don't know how long it took him to get back.
We'll need to calculate these.
-- On the trip TO the store, it took him 50 minutes, at 6 mph.
-- 50 minutes is 5/6 of an hour.
-- Traveling at 6 mph for 5/6 of an hour, he covered 5 miles.
-- The gift store is 5 miles from his house.
-- The total trip both ways was 10 miles.
-- On the way BACK home from the store, he moved at 12 mph.
-- Going 5 miles at 12 mph, it takes (5/12 hour) = 25 minutes.
Now we have everything we need.
Distance:
Going: 5 miles
Returning: 5 miles
Total 10 miles
Time:
Going: 50 minutes
Returning: 25 minutes
Total: 75 minutes = 1.25 hours
Average speed for the whole trip =
(total distance) / (total time)
= (10 miles) / (1.25 hours)
= (10 / 1.25) miles/hours
= 8 miles per hour
Step-by-step explanation:
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answer:
see below
Step-by-step explanation:
The cube root is defined for all real numbers, but squaring it makes the first term of F(x) be non-negative. Hence the domain of F(x) is all real numbers, and its range is [-2, ∞).
Shifting the function 2 units left does not change the domain.
Shifting the function 4 units up moves the range to [2, ∞).
WILL MARK BRAINLIEST!!! PLZ HELP!!! Which graph best represents the function f(x) = (x + 1)(x − 1)(x − 4)? I think it's D, but im not sure
Answer:
D
Step-by-step explanation:
Find the x intercepts from the equation and apply them to the graphs. It matches up with D. Your thought is correct
Answer:
[tex]\boxed{\mathrm{D}}[/tex]
Step-by-step explanation:
[tex]y= (x + 1)(x - 1)(x - 4)[/tex]
Let x = 0, find the y-intercept.
[tex]y= (0 + 1)(0 - 1)(0 - 4)[/tex]
[tex]y= ( 1)(- 1)(- 4)[/tex]
[tex]y=4[/tex]
The function crosses the y-axis at 4.
The only graph that shows this is graph D.
Solve and CHECK the following:
8−(5x−2)=6−2(3x+1)
Answer:
X=6/11
Step-by-step explanation:
8-(5x-2)=6-2(3x+1)
8-5x+2=6-6x-2
10-5x=4-6x
6=11x
x=6/11
Answer:
8-5x-2=6-6x+2
8-2-6-2=5x-6x
-10+8=-x
-2 =-x
x=2 ........×-1
x=2
what is the measure of arc angle EG
Answer:
80 = EG
Step-by-step explanation:
Inscribed Angle = 1/2 Intercepted Arc
40 = 1/2 EG
Multiply each side by 2
80 = EG
Answer:
80 deg
Step-by-step explanation:
Theorem:
The measure of an inscribed angle is half the measure of the intercepted arc.
m<EFG = (1/2)m(arc)EG
40 deg = (1/2)m(arc)EG
m(arc)EG = 2 * 40 deg
m(arc)EG = 80 deg
first person to answer what 4585 times 5645 CORRECT first gets brainiest
Answer: 25882325
Step-by-step explanation:
Simply do 4585*5645 in a calculator.
hope it helps <3
Answer:
Hey there!
The answer is 25882325.
Hope this helps :)
Samin can run 5 kilometers in 30 minutes. Assuming she keeps a constant pace, how many kilometers can she run in 45 minutes? URGENT ANSWERS PLEASE!
Answer:
7.5kilometer
Step-by-step explanation:
for 30mins semin runs 5kilometer
then for 1min: (1min×5kilometer)÷30mins,
therefore, for 45mins: (45mins×5kilometer)÷30mins=7.5kilometer
From the given information:
We are being informed that Samin can run for 5 kilometers in 30 minutes;
If Samin can run such a kilometer in 30 minutes;
5 kilometers = 30 minutes
∴
In x kilometers = 45 minutes
By cross multiplying;
(x × 30 minutes) = 5 kilometers × 45 minutes
30x = 225 kilometer/minutes
[tex]x = \dfrac{225 \ kilometer/minutes}{30 minutes}[/tex]
[tex]\mathbf{x = 7.5 \ kilometers}[/tex]
Therefore, we can conclude that the Samin can run 7.5 kilometers in 45 minutes.
Learn more about word problems here:
https://brainly.com/question/23542499?referrer=searchResults
In quadrilateral ABCD, angle BAD and angle CDA are trisected as shown. What is the degree measure of angle AFD?
Plzzzzz Help I really need help
A Line Segment has the points (1,-2), and (3,-2). What are the new points after its dilated by a scale factor of 3/2 or 1.5
Answer:
(1.5,-3) and (4.5,-3)
Step-by-step explanation:
factorise x^3-3x-2 ASAP
See the answer in attachment
Answer:
(x-2)(x+1)(x+1)
Step-by-step explanation:
x³-3x-2=
(x-2)(x+1)(x+1)
There are 28 brown ducks swimming in a pond. Twice as many white ducks flew in and landed in the pond. Then half of the ducks flew away. How many ducks remained in the pond?
Answer:
42 ducks remain in the pond
Step-by-step explanation:
First, find the number of white ducks
28*2=56
Add them to the brown ducks
56+28= 84
Then divide by 2 because half flew away
84/2=42
So 42 ducks remain in the pond. Hope this helps :)
please help!!!!!!!!!!!
Answer:
The x value of the point 1/4 the distance from point C to point D is -0.25
Step-by-step explanation:
The given information are;
The location of point C = (1, 2)
The location of point D = (-4, -2)
The point 1/4 from point C to point D is the point 3/4 from point D to point C
Which gives;
The coordinate at point D + 3/4× The difference between the coordinates of point C and point D
Which is (-4 + 3/4×(1 - (-4), - 2 + 3/4×(2 - (-2))
Which gives;
(-4 + 3.75, -2 + 3) and (-0.25, 1)
The coordinates of the point 1/4 the distance from point C to point D is (-0.25, 1)
Therefore, the x value of the point 1/4 the distance from point C to point D = -0.25.
Help is appreicated! (10 points!)
Answer:
5
Step-by-step explanation:
5
Ben and his three sisters are competing to see who gets home first from their grandmother's
house. There are four different routes from her house back to their home in Garland. Ben
chooses Route 1. What are the possible outcomes of the routes taken by the family if Ben
chooses first? Label that set S.
Answer: {Route2, Route3, Route4} (Total 3 outcomes)
Step-by-step explanation:
Given: There are 4 different routes from Ben's house back to their home in Garland.
Let Sample space for all outcomes: {Route1, Route2, Route3, Route4 }
Ben chooses Route 1.
The possible outcomes of the routes taken by the family if Ben chooses first:
{Route2, Route3, Route4}
Hence, the possible outcomes of the routes taken by the family if Ben chooses first: {Route2, Route3, Route4} (Total 3 choices)
Helppppp❤️ Please please
Answer:
B and D
Step-by-step explanation:
I think this is the answer
Brahmagupta’s solution to a quadratic equation of the form ax2 + bx = c involved only one solution. Which solution would he have found for the equation 3x2 + 4x = 6?
Answer:
0.897
Step-by-step explanation:
Brahmagupta formula for quadratic equation [tex]ax^2+bx=c[/tex] is
[tex]x=\dfrac{\sqrt{4ac+b^2}-b}{2a}[/tex]
It involved only one solution.
The given equation is
[tex]3x^2+4x=6[/tex]
Here, a=3, b=4 and c=6. Put these values in the above formula.
[tex]x=\dfrac{\sqrt{4(3)(6)+(4)^2}-4}{2(3)}[/tex]
[tex]x=\dfrac{\sqrt{4(3)(6)+(4)^2}-4}{2(3)}[/tex]
[tex]x=\dfrac{\sqrt{72+16}-4}{6}[/tex]
[tex]x=\dfrac{\sqrt{88}-4}{6}[/tex]
[tex]x\approx \dfrac{5.38}{6}[/tex]
[tex]x\approx 0.897[/tex]
Therefore, the required solution is 0.897.
a football is fired upward with an initial speed of 800 feet per second. It is given that h=-12t^2+360t (h is the height of the football at any given time).what will you set h equal to in the equation to to find how many seconds it takes the football to hit the ground?
Answer:
30 s
Step-by-step explanation:
When the ball hits the ground h=0. To find the time t when this happens we must solve the equation h=0.
●h= 0
● -12t^2+360t =0
● t(-12t +360) = 0
● t = 0 or -12t +360 =0
● t=0 or -12t = -360
● t=0 or 12t =360
● t=0 or t=360/12
● t=0 or t= 30
The equation has two solutions.
The ball was fired with an initial speed of 800 feet per second so it cannot hit the ground at t=0.
So the ball hits the ground after 30 s.
Sorry for the bad Angle, anyways if anyone could help me out that be great, I would do the question myself if I'd know how to do it, have a nice day
Answer:
210 students
Step-by-step explanation:
The total number of students surveyed was
19+14+30+23+14 = 100
The fraction that picked Yosemite is 14/100
Multiply that fraction by the total number of students
1500* 14/100 = 210
Answer:
210 students
Step-by-step explanation:
vote me brainliest plz
Andrew is putting reflective tape around the edge of a stop sign. The sign is a regular octagon, and each side is 11 inches long. How many inches of tape will Andrew need?
Answer:
88 inches
Step-by-step explanation:
We are finding the perimeter of the stop sign, therefor we have to either multiply or add the value of 11. Since this sign is an octagon we will have to multiply by eight or add 11 eight times. This will give you an answer of 88 inches.
Answer:
88 inches
Step-by-step explanation:
The stop sign is in the shape of an octagon. An octogon has 8 sides. If each side is 11 inches you multiply 11 * 8 which is 88.
Evaluate 3(4 - 2)2
A. 108
B. 36
C. 12
D. 100
Answer:
12
Step-by-step explanation:
3(4 - 2)^2
Parentheses first
3 ( 2) ^2
Then exponents
3 *4
Then multiply
12
Beth says that the graph of g(x)=x-5+1 is a
Translation of 5 units to the left and 1 unit up of
F(x)=x
She continues to explain that the point (0,0) on the square root function would be translated to the point (-5,1) on the graph of g(x) is Beths description of the transformation correct? Explain
Answer:
(-15,3)
Step-by-step explanation:
Answer:
No, Beth is not correct. The function g(x) has an h value of 5 and a k value of 1. This would be a horizontal translation of the square root function of 5 units to the right, rather than the left. Beth was correct about the vertical translation of the square root function of 1 unit up. The point (0, 0) from the square root function would be translated to the point (5, 1) on the graph of g(x).
Step-by-step explanation:
This came right from Edg
What the answer now to the question
Step-by-step explanation:
Hello!!!
Given, VXW is a Right angled triangle where WV =4 and XV =5.
now, by taking reference angle as angle W, and using tangent we get;
p=5
b=4
again,
tan thita =p/b
tan thita = 5/4
so, tan thita =1.25.
now, to find angle W, we should do tan thita inverse;
or, (tan thita)-1= tan thita-1(1.25)
or, (tan thita) -1 =51.3401°.
Now, by rounding off we get,
tan thita (angle W )= 51°.
Hope it helps....
Mrs. Watson wants to buy some dresses for her trip to Houston. There are three boutiques, each offering a different deal.
Table
Lara's Boutique 4 dresses for $64
The Dress Shop 5 dresses for $75
Marge's Dresses 8 dresses for $160
Which boutique has the best deal for dresses?
A. Both Marge's Dresses and Lara Boutique
B. The Dress Shop
C. Lara's Boutique
D. Marge's Dresses
Answer:
B. The Dress Shop.
Step-by-step explanation:
To find the best deal, we want to find the cost for one dress.
Lara's Boutique: $64 for 4 dresses.
x / 1 = 64 / 4
x = 64 / 4
x = $16 per dress.
The Dress Shop: $75 for 5 dresses.
x / 1 = 75 / 5
x = 75 / 5
x = $15 per dress.
Marge's Dresses: $160 for 8 dresses.
x / 1 = 160 / 8
x = 160 / 8
x = $20 per dress.
The boutique with the best deal will have the cheapest dresses. So, the best deal would be at B. The Dress Shop.
Hope this helps!
find the value of x 4x+15=7x+2=
Answer:
4x+15=7x+2
15_2=7x_4x
13=3x
13/3=x
4.33=x
Answer:
[tex]\boxed{x=\frac{13}{3} }[/tex]
Step-by-step explanation:
Subtract both sides by 15 and 7x.
Then, divide both sides by -3.
[tex]4x+15=7x+2\\4x-7x=2-15\\-3x=-13\\\displaystyle x=\frac{13}{3}[/tex]
What is the area of the polygon below?
Answer:
[tex]24 units^2[/tex]
Step-by-step explanation:
Well we can divide the given polygon into smaller triangles.
The triangle on the upper right corner has a base of 4 units and a height of 3 units.
So we use the following formula,
[tex]\frac{b*h}{2}[/tex]
4*3 = 12
12 / 2 = 6 units^2
Now we can do the bottom triangle.
It has a base of 4 units and a height of 1 unit.
So 4*1 = 4
4 / 2 = 2 units^2
Now for the top left triangle.
It has a base of 4 units and a height of 2 units.
So 4*2 = 8
8 / 2 = 4 units^2
Now all we have is the middle part.
Its a triangle with a base of 4 units and a height of 2 units.
So 4*2 = 8
8 / 2 = 4 units^2
6 + 2 + 4 + 4 = 16 units^2
Thus,
after adding everything up the total area of the polygon is 16 units^2.
Hope this helps :)
factorise
1)
8a(3x–2y)²–12x +8y
Answer:
Step-by-step explanation:
Hello,
[tex]8a(3x-2y)^2-12x +8y\\\\ = 8a(3x-2y)^2-4(3x-2y)\\\\ = (3x-2y)(8a(3x-2y)-4)\\\\=(3x-2)(24ax-16ay-4)[/tex]
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
The area of a rectangle can be expressed by 2x2 – 7x – 4. If the rectangle has an
area of 45, find the positive value for x.
Answer:
7
Step-by-step explanation:
2x^2 - 7x - 4 = 45
2x^2 - 7x - 49 = 0 : subtract 45 from both sides
Quadratic formula:
x = (7 ± sqrt(7^2 - 4*2*-49) ) / 4
x = (7 ± sqrt(49 - -392)) / 4
x = (7 ± sqrt(441)) / 4
x = (7 ± 21) / 4
x = (7 + 21) / 4 OR x = (7 - 21) / 4
x = 28 / 4 OR x = -14 / 4
x = 7 as it is the only positive answer
how to evaluate cot 3pi/2
Answer:
[tex]\huge\boxed{\cot\dfrac{3\pi}{2}=0}[/tex]
Step-by-step explanation:
[tex]\text{We know}\ \cot x=\cot(x\pm\pi)\ \text{and}\ \cot(-x)=-\cot x.\\\\\text{We have}\ \cot\dfrac{3\pi}{2}=\cot\dfrac{\pi+2\pi}{2}=\cot\bigg(\dfrac{\pi}{2}+\dfrac{2\pi}{2}\bigg)=\cot\bigg(\dfrac{\pi}{2}+\pi\bigg)=\cot\dfrac{\pi}{2}\\\\\cot\bigg(\dfrac{\pi}{2}\bigg)=0\\\\\text{Therefore}\ \cot\dfrac{3\pi}{2}=0.[/tex]
It takes Peter 4 hours to walk 12 miles.If he continues to walk at the same rate, how long will it take him to walk:
a) 7miles. b)11miles?
Answer:
a]2.3 hrs
b]3.6hrs
Step-by-step explanation:
4hrs = 12 miles
x = 7miles
4 x 7=28/12=2.3
4 x 11=44/12=3.6hrs
Answer:
Below in bold.
Step-by-step explanation:
His rate of walking = 12/4 = 3 miles per hour.
So the times for 7 and 11 miles are
(a) 7/3 = 2 1/3 hours.
(b) 11/3 = 3 2/3 hours.