Answer:
[tex]x=\pm i\text{ or }x=\pm2i[/tex]
Step-by-step explanation:
So we have the equation:
[tex]x^4+5x^2+4=0[/tex]
Let's let u be equal to x². So:
[tex]u^2+5u+4=0[/tex]
Factor:
[tex](u+1)(u+4)=0[/tex]
Zero Product Property:
[tex]u+1=0\text{ or } u+4=0[/tex]
Subtract:
[tex]u=-1\text{ or }u=-4[/tex]
Replace:
[tex]x^2=-1\text{ or }x^2=-4[/tex]
Take square root:
[tex]x=\pm\sqrt{-1}\text{ or }x=\pm\sqrt{-4[/tex]
Simplify:
[tex]x=\pm i\text{ or }x=\pm2i[/tex]
Bernardo skates at a circular rink that has a radius of 4 yards. If he uses 3.14 for π , what area would he estimate for the skating rink? * 1 point Option 4 12 yards 50 yards 25 yards
Answer: 50 yards
Step-by-step explanation: area of a circle is πr² so 3.14 x 4² = 50.24
there are 300 window for b buildings. assuming there is an equal number of windows per building, how many windows does each building have
Answer:
[tex] x = \frac{300}{b} [/tex]
Step-by-step explanation:
We are given that, "b" number of buildings has 300 windows.
Let b represent the number of buildings.
Let x represent the number of windows per building.
Thus, the following equation can be used to expressed the number of windows for b buildings:
Number of buildings*number of windows per building = 300 windows
[tex] x*b = 300 [/tex]
The number of windows each building has would be:
[tex] \frac{x*b}{b} = \frac{300}{b} [/tex]
[tex] x = \frac{300}{b} [/tex] windows per building
7/60=5/24w+11/12 please help!!!!
Answer:
Step-by-step explanation:
w = -3 and 21/25
The value of w in 7/60=5/24w+11/12 is 6/5.
Given,
7/60 = 5/24 w + 11/12
We need to solve for w.
How do we solve an equation?It depends on the type of equation given.
We need to keep the variable that we are solving for in one side and simplify the other terms.
Find the value of w.
We have,
7/60 = 5/24 w + 11/12
Subtract 11/12 on both sides.
7/60 - 11/12 = 5/24 w + 11/12 - 11/12
7/6 - 11/12 = 5/24 w
Simplify the left-hand side into a fraction.
(14 - 11 ) / 12 = 5 / 24 w
3 / 12 = 5 / 24 w
Multiply 24 / 5 on both sides.
24/5 x 3/12 = 24/5 x 5/24 w
6 / 5 = w
w = 6 / 5
Thus the value of w in 7/60=5/24w+11/12 is 6/5.
Learn more about how to solve for a variable in a given equation here:
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I have no idea how I’m supposed to do this.
hahaha yeah I know you me doing and that you have
En un supermercado tienen dos contadores eléctricos de flujo de personas 1 registra de 3 en 3 y el otro de 5 en 5 en el momento que ambos se detienen unos señala de 840 y el otro de 560 diga Cuál de los dos es el que marca de 3 en 3?
Answer:
El contador que señala 840 registra de 3 en 3.
Step-by-step explanation:
Existe un truco para determinar si un número es múltiplo de 3, si la suma de sus dígitos es 3 o uno de sus múltiplos, entonces el número es un múltiplo de 3. En consecuencia, corresponde al contador eléctrico que registra de 3 en 3 y el otro contador eléctrico sería el que registra de 5 en 5.
Primer contador: 840
[tex]x = 8+4+0[/tex]
[tex]x = 12[/tex]
12 es un múltiplo de 3, por tanto, este contador es el que registra de 3 en 3.
Segundo contador: 560
[tex]x = 5+6+0[/tex]
[tex]x = 11[/tex]
11 no es un múltiplo de 3. Asimismo, todo número que sea múltiplo de 5 termina en 5 o 0, entonces este contador es el que registra de 5 en 5.
El contador que señala 840 registra de 3 en 3.
Use the figure to the right to find the value of PT. T is the midpoint of PQ.
PT = 5x +2 and TQ = 7x-6
PT=
(Simplify your answer.)
Answer:
22
Step-by-step explanation:
Given that T is the midpoint of line PQ, segments PT = 5x + 2, and TQ = 7x - 6 that are formed would be equidistant or congruent. PT = TQ.
Therefore:
[tex] 5x + 2 = 7x - 6 [/tex]
Let's find the value of x
Rearrange the equation, so that the terms having x would be on your left, while those without x would be on your right.
[tex] 5x - 7x = - 2 - 6 [/tex]
[tex] -2x = -8 [/tex]
Divide both sides by -2
[tex] x = 4 [/tex]
Plug in the value of x into the expression, 5x + 2, to find PT.
PT = 5(4) + 2 = 22.
If f(x) and f-1(x) are inverse functions of each other and f(x)=2x+5, what is f-1(8).
Answer: 3/2
Step-by-step explanation:
Nina is training for a marathon. She can run 4 1/2 kilometers in 1/3 of an hour. At this pace, how many kilometers can Nina run in 1 hour
Answer:
13½ kilometers
Step-by-step explanation:
If Nina runs 4½ km in ⅓ of an hour, at this pace, the number of km she'd run in an hour can be calculated as follows.
Let x be the number of km to run in an hour.
4½km => ⅓ hr
x km => 1 hr
Cross multiply
[tex] 1*4\frac{1}{2} = \frac{1}{3}*x [/tex]
[tex] 4\frac{1}{2} = \frac{x}{3} [/tex]
Multiply both sides by 3
[tex] 4\frac{1}{2}*3 = \frac{x}{3}*3 [/tex]
[tex] \frac{9}{2}*3 = x [/tex]
[tex] \frac{27}{2} = x [/tex]
[tex] 13\frac{1}{2} = x [/tex]
x = number of km Nina runs in 1 hour = 13½ kilometers
write slope-intercept form of the equation of the line described.
through(5,4), parallel to y=(1/5)x-5
Answer:
y = 1/5x + 3
Step-by-step explanation:
parallel lines have the same slope
y = 1/5x + b
4 = 1/5(5) + b
4 = 1 + b
b = 3
y = 1/5x + 3
Wilma has 21 coins in her pocket made up of dimes and quarters. If the total value of the coins is $3.45, how many of each coin does she have?
Answer:
x = 12
y = 9
12 coins of dimes
9 coins of quartes
Step-by-step explanation:
x ---> coins of dimes
y ---> coins of quartes
x + y = 21
0.1x + 0.25y = 3.45 * 100
x + y = 21 L1
10x + 25y = 345 L2
x = 21 - y
Reemplace in L2
10(21 - y) + 25y = 345
210 - 10y + 25y = 345
15y = 345 - 210
15y = 135
y = 9
x = 21 - y
x = 21 - 9
x = 12
which are composite numbers?
49
35
32
41
47
Answer:
49, 35 and 32 are composite and the rest are orime numbers
Answer:
[tex] \boxed{ \bold{ \huge{\boxed {\sf{49 \: , \: 35 \: , \: 32}}}}}[/tex]
Step-by-step explanation:
Composite numbers are whole numbers that can be divided by numbers other than itself and 1.
Among 49 , 35 , 32 , 41 and 47,
: 49 , 35 and 32 are composite numbers.
49 is a composite number as it comes in the multiplication table of 1 , 7 and 49 . So, this means it comes in the table of more than 2 numbers. 35 is a composite number as it comes in the multiplication table of 1 , 5 , 7 and 35.32 is a composite number as it comes in the multiplication table of 1 , 2 , 4 and 16. 41 is not a composite but a prime number as it comes in the multiplication table of only 1 and 41 [ 1 and itself ] 47 is not a composite but a prime number as it comes in the multiplication table of only 1 and 47 [ 1 and itself ]Hope I helped!
Best regards!!
What would be the fourth and fifth figures? How many dots will be in the 100th figure?
Answer:
4th=8 dots
5th=10 dots
100th=200 dots
Step-by-step explanation:
Since you’re adding two dots each time, it will always bed double the figure number.
4th=8 dots
5th=10 dots
100th=200 dots
Answer:
The fourth figure is 8 Dots
The fifth figure is 10 Dots
The hundredth figure will be 200 Dots
Step-by-step explanation:
The figure dots increase by two so we multiply the dot number by the amount of increase
which means
The Fourth figure have 4 dots so 4 × 2=8
The Fifth figure have 5 dots so 5 × 2 =10
The hundredth figure have 100 dots so 100 × 2 =200
Hope u like it ❤️
comment me for any question
y = wx ± zx, solve for x
Answer: x = y/w+z
Step-by-step explanation:
6 more than the product of 5 and a number.
Answer:
6+ 5n
Step-by-step explanation:
Answer:
My answer to the question is 6>5n.
flx) = 1
g(x) = x-4
Can you evaluate (g o (0)? Explain why or why
not.
The U.S department of Agriculture reported that 45 out of every 115 milk drinkers drink skim milk. If a store owner orders 23 gallons of milk, how many should be skim
Answer:
8.99999999998
Step-by-step explanation:
45:115::_:23
The ratio between 45 and 115 is 2.55555555556 so 23 divied by that is 8.99999999998
Please help ASAP! Thank you<3
Answer: I believe its 2
Step-by-step explanation:
Start on the top, 4 squared is 16, then divided by two is 8, plus 6 is 14, then on the bottom 4+3 equals 7 so then you get, 14/7 and that equals 2.
hope this helps
Can someone help with this I don’t understand
Answer: see below
Step-by-step explanation:
3x-12=7x+8 ⇔ given
-12=4x+8 ⇔ addition property of equality
-20=4x ⇔ subtraction property of equality
x=-5 ⇔ division property of equality
-----------------------
5(x-1)=4x+13 ⇔ given
5x-5=4x+13 ⇔ distributive property
x-5=13 ⇔ subtraction property of equality
x=18 ⇔ addition property of equality
please help i don’t know how to do this
Answer: A
Step-by-step
POINTS!!! PLS COME AND LOOK!!! I NEED YOU GENIUSES!!! I WILL GIVE BRAINLIEST!!!!! AT LEAST COME AND LOOK!!!! WILL FOREVER BE GREAT FULL!!! EASY I JUST STRUGGLE!! 2 QUESTIONS!!
9. Which compound inequality represents the inequality 3|y + 7| − 16 > 5?
A) y + 7 < −7 OR y + 7 > 7
B) y + 7 > −7 AND y + 7 < 7
C) y + 7 < −7 AND y + 7 > 7
D) y + 7 > −7 OR y + 7 < 7
12. What equation could be used to represent the verbal representation below?
Sanju wants to sell his artwork at a local fair. He has created 10 pieces of artwork and has spent $44 in creating them. He wants to make a profit of $300 at the fair. What is the price he needs to sell each piece to make that profit?
A) 10A=44
B) 10A=300
C) 10A=44+300
D) 10A=300-44
Answer:
9.(A) y + 7 < −7 OR y + 7 > 7
12.(C) 10A=44+300
Step-by-step explanation:
Stuck on this 6/9 times 3
Answer:
2
Step-by-step explanation:
6/9 * 3
First you can either simplify this to make it easier or directly multiply. Simplify it by dividing 3 on the 9.
6/3=2
Or you can multiply and it would be 18/9, because 6*3=18.
18/9=2
4. Evaluate the function at each specified value of the independent variable and simplify. (If an answer is undefined, enter UNDEFINED.) 5. Evaluate the function at each specified value of the independent variable and simplify. (If an answer is undefined, enter UNDEFINED.)
Answer:
See below.
Step-by-step explanation:
4)
So we have the function:
[tex]g(y)=7-6y[/tex]
And we want to find:
[tex]g(s+1)[/tex]
So, substitute y for (s+1):
[tex]g(y)=7-6y\\g(s+1)=7-6(s+1)\\[/tex]
Distribute:
[tex]g(s+1)=7-6s-6[/tex]
Subtract:
[tex]g(s+1)=-6s+1[/tex]
5)
So we have the function:
[tex]h(t)=t^2-2t[/tex]
And we want to find:
[tex]h(x-3)[/tex]
So, substitute t for (x-3):
[tex]h(t)=t^2-2t\\h(x-3)=(x-3)^2-2(x-3)[/tex]
Square and distribute:
[tex]h(x-3)=(x^2-6x+9)+(-2x+6)[/tex]
Combine like terms:
[tex]h(x-3)=(x^2)+(-6x-2x)+(9+6)[/tex]
Add:
[tex]h(x-3)=x^2-8x+15[/tex]
And those are our answers :)
Express 81 as the sum of first nine consecutive odd numbers
Answer:
see explanation
Step-by-step explanation:
The sum of the first 9 consecutive odd numbers is
1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 = 81
Answer: 1+3+5+7+9+11+13+15+17=81
Step-by-step explanation:
The sum of the first 9 consecutive odd numbers is
1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 = 81
Is 1+4(3x-10)-12x equivalent to -39
Answer:
No solution-40 =38Step-by-step explanation:
[tex]1+4\left(3x-10\right)-12x=39\\\\\mathrm{Subtract\:}1\mathrm{\:from\:both\:sides}\\1+4\left(3x-10\right)-12x-1=39-1\\\\Simplify\\4\left(3x-10\right)-12x=38\\\\\mathrm{Expand\:}4\left(3x-10\right)-12x:\quad -40\\-40 =38\\\\The \:sides\: are\: not\: equal \:so\\\mathrm{No\:Solution}[/tex]
M is the midpoint of ST. S(-8, 9) and M(-10, 14). Find the coordinates of the other endpoint, T.
Answer:
T = (-12, 19)
Step-by-step explanation:
We know that the definition of the midpoint is ...
M = (S + T)/2
Solving for T gives ...
T = 2M -S
T = 2(-10, 14) -(-8, 9) = (-20+8, 28-9)
T = (-12, 19)
For the equation: -1 -5(4+6x) = 5(1 - 6x) – 26, what is the value of x?
HEY MATE HERE IS YOUR ANSWER.
PLEASE MARK ME AS A BRAINLIEST......
What is 1,872.072 rounded to the nearest hundredth?
Answer:
1872.07
Step-by-step explanation:
2 rounds down so... 0.07
1872.07
What is (-3/4)x(7/8)
simplify -16 + 9 - (-2) + (-5)
A. 0
B. -10
C. -14
D. -28
Answer:
B. -10Step-by-step explanation:
[tex]-16 + 9 - (-2) + (-5)\\\\\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}\\\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:\:\\-16+9=-7\\\\=-7-\left(-2\right)+\left(-5\right)\\\\=-7+2+\left(-5\right)\\\\-7+2=-5\\\\=-5+\left(-5\right)\\\\=-10[/tex]
B. - 10
Step-by-step explanation:Hi there !
-16 + 9 - (-2) + (-5) =
- (-) = +
+ (-) = -
= - 16 + 9 + 2 - 5
= - 10
Good luck !
James read that bears can weight up to 125 kg. He wants to convert this to pounds so he can understand how heavy that really is. Convert the bears weight to pounds. (1kg = 2.205 lbs)
Answer:
275.63 pounds
Step-by-step explanation:
To convert it to pounds, multiply the weight in kg by 2.205
125(2.205)
= 275.63 pounds
Answer:
125 kg = 275.578 lbs
Step-by-step explanation:
1 Kilogram (kg) is equal to 2.2046226218 pounds (lbs). To convert kg to pounds, multiply the kg value by 2.2046226218. For example, to convert 4 kilograms to pounds, multiply 4 by 2.2046226218, that makes 4 kg is 8.81849049 lbs.
Hope this helps! :D