Answer:
1 real solution
Step-by-step explanation:
Use discramint formula.
[tex]b {}^{2} - 4ac[/tex]
If the discramint >0, the equation is going to have 2 real solutions
If the discramint =0, we going to have one real solution.
If the discramint<0, we going to have two imaginary solution
B is -4, A is 4 and C is 1 so
[tex] { - 4}^{2} - 4( 4)(1) = 0[/tex]
So the equation had one real solution.
Re-write the equation 2 x minus 4 y = 8 in slope-intercept form.
a.
y = 2 x minus 2
c.
y = negative one-half x minus 2
b.
y = one-half x + 2
d.
y = one-half x minus 2
Please select the best answer from the choices provided
A
B
C
D
Answer:
The answer is D
Step-by-step explanation:
Start by subtracting 2x from both sides
-4y = -2x + 8
Divide both sides by -4
y = 1/2x - 2
or
y = one-half x minus 2
A soup can is in the shape of a cylinder with a radius of 1 inch and a height of 3 inches.
How much paper is used for the label of the soup can, which covers the lateral surface area of the soup can? (Round your answer to the nearest hundredth) _ in2
All of the following are equivalent, except _____.
(8 + 3)x
11x²
11x
8x + 3x
Answer:
11[tex]x^{2}[/tex]
Step-by-step explanation:
After simplifying all the other ones, they all equal 11x, except 11x^2
60x + 153 =9x + 51 , need help from every step
The answer you are looking for is x=-2.
Solution/Explanation:
60x+153=9x+51
Subtract 9x from both sides,
60x-9x+153=51
Simplifying this part of the equation,
51x+153=51
Now, subtracting 153 from both sides,
51x+153-153=51-153
Simplifying this part of the equation,
51x=-102
Finally, dividing 51 from both sides,
So, therefore, the final answer is x=-2. I hope this helped answer your question for you. Enjoy your day, and take care!
x = -2 is the solution to the equation 60x + 153 = 9x + 51.
Here, we have,
To solve the equation 60x + 153 = 9x + 51,
follow these steps:
Step 1:
Start with the given equation: 60x + 153 = 9x + 51.
Step 2:
Simplify the equation by combining like terms.
To do this, subtract 9x from both sides of the equation:
60x + 153 - 9x = 9x + 51 - 9x.
Simplifying further:
51x + 153 = 51.
Step 3:
Subtract 153 from both sides of the equation to isolate the variable term:
51x + 153 - 153 = 51 - 153.
Simplifying further:
51x = -102.
Step 4:
Divide both sides of the equation by the coefficient of x, which is 51, to solve for x:
51x / 51 = -102 / 51.
Simplifying further:
x = -2.
Step 5:
Check the solution by substituting x = -2 back into the original equation:
60(-2) + 153 = 9(-2) + 51.
Simplifying:
-120 + 153 = -18 + 51.
33 = 33.
Since the left side of the equation equals the right side after substituting x = -2,
we can conclude that x = -2 is the solution to the equation 60x + 153 = 9x + 51.
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(4x + 5y) - (2x + 5)
How to answer pls?
Step-by-step explanation:
(4x + 5y) - (2x+5)
impliment the negative
4x + 5y -2x -5
combine like terms
2x + 5y - 5
traditionally the x goes first but it could be y too such as 5y + 2y - 5
either one is the final answer
Answer:
2x + 5y - 5
Step-by-step explanation:
(4x + 5y - (2x + 5)
remove the brackets.
➡️ 4x + 5y - (2x - 5)
if there is a "-" in front of a form in brackets, change the sign of each term in the form.
➡️ 4x + 5y - 2x - 5
simplify terms by adding or subtracting.
➡️ 2x + 5y - 5
the product of 2 and the second power of y
Answer:
[tex]2*y^{2}[/tex]
Step-by-step explanation:
The product of 2 is multiplication and the second power of y is just y squared
It's geometry please help.
Answer:
BC = 22
Step-by-step explanation:
BD = 67
Bc = 3x - 2
CD = 4x + 13
BC + CD = BD (Given)
3x - 2 + 4x + 13 = 67
3x + 4x -2 + 13 = 67
7x + 11 = 67
7x = 67 - 11
7x = 56
x = 56 ÷ 7
x = 8
now instead of x put 8
Bc = 3x - 2
BC = 3(8) -2
BC = 24 -2
BC = 22
In the diagram below BD is parellel to XY what is the value of y ?
Answer:
C
Step-by-step explanation:
y and 67 are alternate exterior angles and are congruent , then
y = 67° → C
The area of a rectangle is 0.8 square units. The length is 3.2 units and the width is x units.
What is the value of x?
x=0.25
x=2.4
x=2.56
x=4
Pls help meeeehhhh I will give brainliesttttt :D
9) Brennen is rock climbing and is 15 feet above ground level. He descends 4 feet,
climbs back up 5 feet, and then descends 1 foot. What elevation is Brennan at after
he is finished climbing?
Answer:
15 feet above ground.
Step-by-step explanation:
15 feet - 4 feet = 11 feet
11 feet + 5 feet = 16 feet
16 feet - 1 foot = 15 feet
can someone please accurately do this. if you just put anything, i will report and get my points back
at soccer practice, each player must kick the ball to every other player present at least once. If there are 17 players at practice, what is the minimum number of kicks required?
====================================================
Explanation:
Player 1 has 16 people to kick the ball toPlayer 2 has 15 people to kick the ball to (since player 1 already is accounted for)Player 3 has 14 people to kick the ball toAnd so on.
We'll have this countdown: 16, 15, 14, ..., 3, 2, 1, 0. By the time we get to the 17th player, they won't have anyone to kick the ball to. This is because they've already been counted in the previous scenarios. This is to avoid double-counting.
So the problem simply boils down to us adding up the numbers 0,1,2,...14,15,16.
This is an arithmetic sequence with first term a = 0 and common difference d = 1. The sum of the first n = 17 terms is...
Sn = (n/2)*(a + d(n-1))
S17 = (17/2)*(0 + 1(17-1))
S17 = (17/2)*(16)
S17 = 17*8
S17 = 136 is the final answer
-----------------
An alternative method:
Consider we have two slots A and B
For slot A, we have 17 choices because we have 17 players.
Then for slot B, we have 17-1 = 16 choices since we don't want to reselect whoever goes in slot A.
If order mattered, then we'd have 17*16 = 272 different permutations.
However, order doesn't matter. A sequence like {player1,player4} is identical to {player4,player1}. All that matters is the overall group rather than the order of it. Both of those examples say the same thing: they connect player 1 to player 4.
In short, the value 272 is too large and it double-counts the true answer. We need to divide by 2 to correct for this.
272/2 = 136
We arrive at the same answer as before. There are 136 kicks required so that each player kicks the ball to every other player.
The minimum Number of kicks required in other to ensure that each player kicks the ball to every other atleast once is 136 kicks.
The Number of kicks could be related to the sum of the nth term of an arithmetic series
[tex]S_n = \frac{n}{2} (2a_1 + (n-1)d)[/tex]
n = number of terms = 17 players
First term,
[tex]a_1 = 0[/tex]
Common difference, d = 1
Inputting the Values into the equation :
[tex]S_n = \frac{17}{2} (2(0) + 16 \times 1)[/tex]
[tex]S_n = 8.5(0 + 16)[/tex]
[tex]S_n = 0 + 136[/tex]
[tex]S_n = 136[/tex]
Hence, the minimum number of kicks which would be taken by the players in other to ensure that each player kicks to ball to every other atleast once is 136 kicks.
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N The distance between Tanjung Malim and Sungai Petani is x km. A car was driven from Tanjung Malim to Sungai Petani at an average speed of 90 km/h. The return journey when the car was driven at an average speed of 105 km/h took 30 minutes, Calculate the value of x CHAPTER SUMMARY
Answer:
52.5 km
Step-by-step explanation:
the info about the trip from Malim to Petani is irrelevant and only there to confuse us.
but from the return trip info we get all we need.
for x km it took then 30 minutes at an average speed of 105 km/h.
to get km out of km/h, we need to multiply the speed number by the hours traveled. that removed the "h" and leaves us with km.
n km/h × a h = a×n km
so, now, in our example we have 105 km/h, and 30 minutes = 1/2 h.
so, we have
x = 105 km/h × 1/2 h = 105/2 km = 52.5 km
Need Help Fast For Brainlest
Answer:-11
Step-by-step explanation:
Answer:
a) -11
Step-by-step explanation:
[tex]\frac{3 + x}{4}[/tex] = [tex]\frac{x + 1}{5}[/tex]
transpose
5 (3+x) = 4 ( x+1)
15 + 5x = 4x + 4
5x - 4x = 4 - 15
x = -11
You can even cross-check
a . -11
[tex]\frac{3 + (-11)}{4}[/tex] = [tex]\frac{-11 + 1}{5}[/tex]
[tex]\frac{3 - 11}{4}[/tex] = [tex]\frac{-10}{5}[/tex]
[tex]\frac{-8}{4}[/tex] = -2
-2 = -2
CROSS-CHECKED
Petra invests $10 800. After 4 years she has earned $3240 in interest.
At what annual rate of interest did she invest her money?
Someone help and explain please.
Answer:
k = 5/6
Step-by-step explanation:
The √ can be rewrite as a power, and this power is 1/2
So √a = a^1/2, and it is multiplying a, so we add the powers: a¹•a^1/2 = a^(1+1/2) = a^3/2
And the ³√ can be rewrite as the power 1/3, but the a inside the ³√ is to the power of 2, so we can rewrite it like this: (a²)^1/3
And to evaluate this we have to multiply the powers, so we will have: a^2/3
Now we have this fraction:
[tex] \frac{ {a}^{ \frac{3}{2} } }{ {a}^{ \frac{2}{3} } } [/tex]
A fraction with powers in the same base can be rewrite like a subtraction of the powers, so let's do that:
[tex] \frac{ {a}^{ \frac{3}{2} } }{ {a}^{ \frac{2}{3} } } = {a}^{ \frac{3}{2} - \frac{2}{3} } = {a}^{ \frac{5}{6} } [/tex]
help
Given h(x) = 2x – 1, find h(-1).
Answer:
Answer:
-3
Step-by-step explanation:
What this tells you is that where you see an x on the right hand side of the equation, you put -1.
h(-1) = 2(-1) - 1
h(-1) = -2 - 1
h(-1) = - 3
Find the value of x that will make A||B. Geometry
Answer:
x = 30
Step-by-step explanation:
These angles are supplementary which means they add up to 180:
2x + 50 + 5x - 80 = 180
7x - 30 = 180
7x = 180 + 30
7x = 210
x = 30
solve using substitution
y = 3x - 4
3x + y = -4
y= 3x –4
3x + y = –4
3x + (3x –4) = –4
3x+3x – 4 = – 4
6x = – 4 +4
6x=0 —> x= 0/6 —> x=0
x = 0y = 3x – 4 —> y = 3(0) – 4 = – 4
y = – 4So; (x , y) —> (0 , – 4 )I hope I helped you^_^
Answer:
(0,-4)
Step-by-step explanation:
3x + y = -4
3x + (3x - 4) = -4
3x + 3x - 4 = -4
6x = 0
x = 0
y = 3(0) - 4
y = -4
please help mathematics worksheet
Answer:
(a).
[tex] \frac{2}{5a} = \frac{4}{a - 1} \\ \\ 20a = 2a - 2 \\ 18a =- 2 \\ a = - \frac{1}{9} [/tex]
(b).
[tex] \frac{7}{2d - 5} = \frac{9}{3d + 4} \\ \\ 7(3d + 4) = 9(2d - 5) \\ 21d + 28 = 18d - 45 \\ 3d = - 73 \\ d = - \frac{73}{3} [/tex]
(c).
[tex] \frac{3}{e + 1} + \frac{1}{2e + 1} = 0 \\ 3(2e + 1) = - (e + 1) \\ 6e + 3 = -(e + 1) \\ 7e = - 4 \\ e = - \frac{4}{7} [/tex]
(d).
[tex] \frac{5}{2f - 5} - \frac{4}{7f + 1} = 0 \\ \\ \frac{5}{2f - 5} = \frac{4}{7f + 1} \\ \\ 5(7f + 1) = 4(2f - 5) \\ 35f + 5 = 8f - 20 \\ 27f = - 25 \\ f = - \frac{25}{27} [/tex]
(d).
Step-by-step explanation:
a)2/5a=4/a-1
By cross multiplication:
5a×4=2(a-1)
20a=2a-2
20a-2a=-2
18a=-2
a=-2/18
a=-1/9
b)7/2d-5=9/3d+4
By cross multiplication:
7(3d+4)=9(2d-5)
21d+28=18d-45
21d-18d=-45-28
3d=-73
d=-73/3
c)3/e+1 + 1/2e+1=0
3/e+1=-1/2e+1
By cross multiplication
3(2e+1)=-1(e+1)
6e+3=-e-1
6e+e=-1-3
7e=-4
e=-4/7
d)5/2f-5-4/7f+1=0
By cross multiplication
5/2f-5=4/7f+1
5(7f+1)=4(2f-5)
35f+5=8f-20
35f-8f=-20-5
27f=-25
f=-25/27
A triangle has a perimeter of 11.5 feet. The side lengths are x feet, 2x – 2 feet, and 3x + 1.5 feet. What is the value of x?
Answer:
x = 2 feetStep-by-step explanation:
We know that the perimeter is the sum of side lengths.
P = a + b + cSubstitute the values and solve for x:
x + 2x - 2 + 3x + 1.5 = 11.56x - 0.5 = 11.56x = 12x = 12/6x = 2Answer:
[tex]perimeter = h + l + b \\ = x + 2x - 2 + 3x + 1.5 = 11.5 \\ x \: terms \: togather \\ x + 2x + 3 x- 2 + 1.5 = 11.5 \\ 6x - .5 = 11.5 \\ 6x = 11.5 + .5 \\ 6x = 12 \\ x = \frac{12}{6} \\ x = 2 \\ thank \: you[/tex]
Please help this is timed
a.
5 minutes
b.
As time increases, the amount of water in the aquarium decreases.30 litres per minute
pliss help me with this question
Answer:
1/32 people responded for Tampa.
Step-by-step explanation:
Riley needs to make fruit punch for the family reunion. One batch of punch has the ingredients shown. if the punch bowl holds 27 cups, how many cups of orange juice will she need to keep the ratio in a full punch bowl the same?
Answer:
6 cups
hopes this help you
7x (x+y)-2 plss help
Hình thức thay thế :
7 x^2 + 7 x y - 2
7/4 (2 x + y)^2 + 1/4 (-7 y^2 - 8)
x (7 x + 7 y) - 2
Dẫn 1 phần :
d/dx(7 x (x + y) - 2) = 7 (2 x + y)
d/dy(7 x (x + y) - 2) = 7 x
The sum of two number is 22 and difference is 8. Find the numbers.
Answer:
7 and 15
Step-by-step explanation:
Let the numbers be x and y
[tex]x + y = 22[/tex]
[tex]x - y = 8[/tex]
On adding both
[tex]x + y + x - y = 22 + 8[/tex]
[tex]2x = 30[/tex]
[tex]x = \dfrac{30}{2} [/tex]
[tex]x = 15[/tex]
From 1
[tex]15 + y = 22[/tex]
[tex]y = 22 - 15[/tex]
[tex]y = 7[/tex]
Answer:
[tex]take \: numbers \: xand \: y \\ given \: that \: x + y = 22 .....(1)\\ x - y = 8.....(2) \\ x = 8 + y \\ put \: this \: in \: (1) \\ 8 + y + y = 22 \\ 8 + 2y = 22 \\ 2y = 22 - 8 \\ 2y = 14 \\ y = \frac{14}{2} \\ y = 7 \\ pt \: y = 7in \: eqution \: (2) \\ then \: \\ x - 7 = 8 \\ x = 7 + 8 \\ x = 15 \\ therefore \: x = 15 \\ y = 7 \\ thank \: you[/tex]
Lyndsey has 4 ½ cups of ice cream and wants to give each child at the shelter ½ cup of ice cream. How many children can she serve?
A. 4
B. 5
C. 8
D. 9
Name the intersection of AD and DF
Answer:
i dont know
Step-by-step explanation:
Answer:
ADF
Step-by-step explanation:
AD and DF intersect at Angle ADF. It's in the picture.
When using the metric system, conversions which require division can be made by moving the decimal to the _____.
Answer:
left
Step-by-step explanation:
There are 1024 bytes in a kilobyte. Write an expression that describes the number of bytes in a computer chip with n kilobytes. helpppp
Bytes are used to represent the number of bits in a computer system. There are 1024n bytes in n kilobytes.
Using the following representation:
[tex]KB \to[/tex] Kilobyte
[tex]B \to[/tex] Bytes
1024 bytes in 1 kilobyte is represented as:
[tex]1024B = 1KB[/tex]
Let the number of bytes in n kilobytes be x.
So, we have:
[tex]x = n\ KB[/tex] and
[tex]1024B = 1KB[/tex]
Cross multiply
[tex]x \times 1KB = 1024B \times nKB[/tex]
Divide both sides by KB
[tex]x \times 1 = 1024B \times n[/tex]
[tex]x = 1024n\ B[/tex]
Remove the units for proper representation
[tex]x = 1024n[/tex]
Hence, there are 1024n bytes in n kilobytes
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Answer: 1024n
Step-by-step explanation: