[tex]a {y}^{2} + by + c = 0 [/tex]
[tex]3 {y}^{2} + 8y + 2 = 0 [/tex]
[tex]a = 3[/tex]
[tex]b = 8[/tex]
[tex]c = 2[/tex]
_________________________________
[tex]∆ = {b}^{2} - 4ac [/tex]
[tex]∆ = ({8})^{2} - 4 \times (3) \times (2) [/tex]
[tex]∆ = 64 - 24[/tex]
[tex]∆ = 40[/tex]
_________________________________
[tex]y = \frac{ -b ± \sqrt{∆} }{2a} \\ [/tex]
##############################
[tex]y(1) = \frac{ - 8 + \sqrt{40} }{6} \\ [/tex]
[tex]y(1) = \frac{ - 8 + \sqrt{4 \times 10} }{6} \\ [/tex]
[tex]y(1) = \frac{ - 8 + 2 \sqrt{10} }{6} \\ [/tex]
[tex]y(1) = \frac{2( - 4 + \sqrt{10}) }{2 \times 3} \\ [/tex]
[tex]y(1) = \frac{ - 4 + \sqrt{10} }{3} \\ [/tex]
+++++++++++++++++++++++++++++++++++++++
[tex]y(2) = \frac{ - 8 - \sqrt{40} }{6} \\ [/tex]
[tex]y(2) = \frac{ - 8 - \sqrt{4 \times 10} }{6} \\ [/tex]
[tex]y(2) = \frac{ - 8 - 2 \sqrt{10} }{6} \\ [/tex]
[tex]y(2) = \frac{2( - 4 - \sqrt{10}) }{2 \times 3} \\ [/tex]
[tex]y(2) = \frac{ - 4 - \sqrt{10} }{3} \\ [/tex]
##############################
_________________________________
And we're done.....♥️♥️♥️♥️♥️
Will a non-metal replace a metal?
Yes
No
Answer:
No
Step-by-step explanation:
I think only a metal can replace a metal, not a non-metal replace a metal
Which of the following is equivalent to
the expression below?
7h +1
A. h +7
B. 7(h + 1)
C. (5h + 2) + 1
D. (5 + 2)h + 1
o
O
D
What is the product of 2.52 and 3.4?*
Answer:
The answer is D
Step-by-step explanation:
(5+2)h+1 add 5 and 2 together and you get 7h+1
A virus is spreading around Dover. At the moment, 310 people are infected. If the virus is spreading at a rate of 10% each day, how many people in all will have caught the virus in 14 days?
Answer:
434 people
Step-by-step explanation:
10% of 310 is 31
so, 31 × 14 days is 434
so its 434 people
6. A strip of wood 78 inches long is to be cut into pieces 3 3/4 inches long. How many pieces can be cut?
O A. 21
OB. 12
O C. 26
D. 20
Answer:
A. 21
Step-by-step explanation:
divide 78 by 3.75 and you will get 20.8
round off 20.8 and you will get 21
o
Which table shows equivalent ratios?
Feet
2.
4.
5
6
Inches
36
48
60
72
Feet
2
3
4
6
Inches
22
39
48
72
Feet
2
5
6
7
Inches
24
60
72
84
Feet
2.
3
Inches
28
36
Answer: c
Feet
2
5
6
7
Inches
24
60
72
84
Step-by-step explanation: 1ft = 12 inches 2ft=24 inches 3ft= 36 inches etc
multiply ft by 12 to get inches
Which procedure correctly simplifies the expression? ( 4 x − 3 ) − 2 ( x + 5 ) A. Step 1: 4 x − 2 x − 3 + 5 Step 2: 2 x + 2 B. Step 1: 4 x − 3 − 2 x − 5 Step 2: 2 x − 8 C. Step 1: 4 x − 3 − 2 x − 10 Step 2: 2 x − 13 D. Step 1: 4 x − 3 + 2 x + 10 Step 2: 6 x + 7
Answer:
Step 1: 4 x − 3 − 2 x − 10
Step 2: 2 x − 13
Step-by-step explanation:
Given the expression;
(4 x − 3) − 2 (x + 5)
The following steps/ procedure are to be taken when simplifying the expression.
open the parenthesis
(4 x − 3) − 2 (x + 5)
= 4x-3 -2(x)-2(5)
= 4x-3-2x-10
collect the like terms
= 4x-2x-3-10
simplify the resulting expression
= 2x-13
Hence the procedure that correctly simplifies the expression are:
Step 1: 4 x − 3 − 2 x − 10
Step 2: 2 x − 13
HELP ASAP
Ben travels by train 19 miles to work if ben travels 8 times a week how many miles does he travel
Answer: 152 miles
Step-by-step explanation:
19 x 8 = 152
Which organism shares the most similarities with humans?
fern
jellyfish
lobster
snake
Answer:
snake
Step-by-step explanation:
Snake, being a reptile, is the closest to humans as per the phylogenetic analysis. In this case which is the lobster. Then comes the jelly fish according to the tree of life.
Answer:
snake
I took the test
|x-1=-3
Solve for x.
Answer:
x-1=3
x=3+1
x=4
Solve for x.
help please literally dying
Answer:
x=40
Step-by-step explanation:
A hot air balloon rose from a height of 100 meters to 450 meters in 3
minutes. What was the balloon's rate of change
Answer:
350 meters.
Step-by-step explanation:
right so its saying im wrong so witch number is the biggest
32 286
19 682
20 318
32 665
22 382
i put the top one but appearnly its wrong it probs me being stupid i dont know please help 10 points avabile
Answer:
682 is the biggest number but if it is talking about the two numbers added then it is 19 and 682
Edit: If there is supposed to be a comma in-between the two pairs of numbers then the answer would be 32,665. I didn't think they could have been commas at first but if they are then 32,665 is the answer.
Step-by-step explanation:
682 is bigger than all the others. 19 + 682 is bigger than all the other paired ones.
Cabletown charges $5 signup fee and a $0.50 charge per video.
Networkflicks charges a $12 signup fee and a $0.15 charge per video. How
many videos do you need to watch in a month for the two companies to cost
the same?
Given parameters:
Signup fee for Cabletown = $5
Charge per video = $0.50
Sign up fee for Networkflicks = $12
Charge per video = $0.15
Unknown:
The number of videos watched in which the cost of both months will be thesame = ?
Solution:
Let the number of videos= x
Now let us set up algebraic equations to solve this problem;
5 + 0.5x = 12 + 0.15x
Collect like terms and solve;
5 - 12 = 0.15x - 0.5x
-7 = -0.35x
x = 20
The number of videos watched will be 20 videos
Which statements are true of functions? Check all that apply
Cof
All functions have a dependent vanable
All functions have an independent variable
The range of a function includes its domain
A vertical line is an example of a functional relationship
A horizontal line is an example of a functional relationship
Each output value of a function can correspond to only one input value
Answer:
The true statemens are:
All function have (at least) a dependent variable. That is why you can write y = f(x), x is the independent variable, while y depends on x values, so y is the independent variable.
All function have and independent variable (explained above).
A horizontal line is an example of a funcitional relationship (because given a value of x, you can always tell the value of y)
The other statements are false:
The range of a function includes its domain is false.
Domain are the values that x can take and the range are the values that the function (y) can take. One is not included in the other.
A vertical line is an example of a functional relationship is false, because you can not tell the value of y for any value of x.
Each output value of a function can correspond to only one input value is false. An output can be generated by more than one value of x. The horizontal line is an example of that: the same value of y (output) corresponde to any value of x.
Step-by-step explanation:
Answer:
A: All functions have a dependent variable.
B: All functions have an independent variable.
E: A horizontal line is an example of a functional relationship.
Step-by-step explanation:
edg2021
Zombies lose limbs. Mutants grow limbs. Mutant-zombies do both. Today, a certain mutant-zombie grew 5 limbs, lost 12 limbs, and grew another 2 limbs. How many limbs does the mutant-zombie have compared to yesterday?
How will I graph this? It’s due soon please help.
Graph the line with slope 1/2 passing through the point (-2,5).
Answer:
y=1/2x + 6
Step-by-step explanation:
Use point slope form
y-y1=m(x-x1)
y-5= 1/2 (x+2)
y-5= 1/2x + 1
y= 1/2x + 6
Find the 64th term of the arithmetic sequence 2, -3,-8
Answer:
-313
Step-by-step explanation:
a1=2; d=-5
a64=2-5(64-1)=-313
The 64th term of the arithmetic sequence 2, -3, -8 ... will be -313.
What is Arithmetic sequence?
An arithmetic sequence is the sequence of numbers where each consecutive numbers have same difference.
Given that;
The arithmetic sequence;
⇒ 2 , -3 , -8 ...
Now,
The general equation for nth term of the arithmetic sequence is,
[tex]T_{n} = a + (n - 1) d[/tex]
Where, The term 'a' represent the first term.
And, 'd' represent the difference between each consecutive numbers.
Here, In the arithmetic sequence 2 , -3, -8;
The first term = 2
The difference = -3 - (2) = - 5
So, To find the 64th term of the arithmetic sequence, we can substitute
n = 64 and a = 2 and d = -5 in above formula as;
[tex]T_{n} = a + (n - 1) d[/tex]
[tex]T_{64} = 2 + (64 - 1) (-5)[/tex]
[tex]T_{64} = 2 + (63 * -5)[/tex]
[tex]T_{64} = 2 - 315[/tex]
[tex]T_{64} = -313[/tex]
Thus, The 64th term of the arithmetic sequence 2, -3, -8 ... will be -313.
Learn more about the arithmetic sequence visit:
https://brainly.com/question/6561461
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Letters x, y, and z are angle measures. Which equations would guarantee that lines p and q are parallel? Check all that apply. x = z x + y = 180° x + z = 180° x = y z = 180°
The equations that would guarantee that lines p and q are parallel are;
x = z
x + y = 180°
The image showing the lines p and q as well as the angles x, y and z can be found in the link at the end of this answer.
From the image given;
We see that a transverse line cuts across the two parallel lines p and q. Thus;
We can see that x and z are corresponding angles and as such, we can say that; x = z.
Secondly, we can see that y and z are supplementary angles because they form a straight line and sum of angles that form a straight is 180°.
Thus; y + z = 180°
Since x = z, then by substitution property of equality, we can say that;
x + y = 180°
Read more at; https://brainly.com/question/13128119
Answer:
Step-by-step explanation:
A and B
help pls I really need help can anyone help me
Answer:
you didn't screenshot/take the photo fully...
we can't see it.
Step-by-step explanation:
What is the slope of a line perpendicular to Line AB given A (6,2) and B (-3,2)
Answer:
slope is undefined
Step-by-step explanation:
Calculate the slope m of AB using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = A(6, 2) and (x₂, y₂ ) = B(- 3, 2)
m = [tex]\frac{2-2}{-3-6}[/tex] = [tex]\frac{0}{-9}[/tex] = 0
A line with a slope of zero is a horizontal line, parallel to the x- axis.
Thus a line perpendicular to AB is a vertical line parallel to the y- axis.
The slope of a vertical line is undefined
I need help with this.
Answer:
x2 + 8 = 28
The value of x2 is 4.48
Step-by-step explanation:
Hope this is what you were asking for :)
Line A has a slope of −3 . Line B has a slope of 4. Line C has a slope of 2
Which Line Is The Closest To Being Horizontal?
- Line A
- Line B
- Line C
- I dont Know
The line whose absolute value of the slope is least will be the slope which is close to being horizontal. Hence, line C is the answer.
An horizontal line has will have a slope value of 0. Hence, the steeper the slope, the greater the absolute value of the slope obtained. This means that a line deviates more from being horizontal as the absolute value of the slope increases.Therefore, the line with least absolute value would be the closest to being horizontal, hence, line C with an absolute value of 2.
Learn more : https://brainly.com/question/18405415
and our last one for today
(let me know if i should keep posting more)
Answer:
50
Step-by-step explanation:
The angles must add up to 180 and 180-105=75-25=50
And yes you should
what is 0.8 1/10 of?
24. q + r t s, for q = 46, r = 19. s = 54
[tex](24 \times 46 )+ (19 \times t \times 54) = [/tex]
[tex]1104 + 1026t[/tex]
_________________________________
And we're done.
Thanks for watching buddy good luck.
♥️♥️♥️♥️♥️
Candice has been hired as a saleswoman. She is paid a flat rate of $425 each week and earns an additional $17.75 commission for each sale. If her goal is to make $993 in one week, which equation will help Candice determine the number of sales (s) she must make? (3 points)
a
$993 = $425s - $17.75
b
$993 = $425s + $17.75
c
$993 = $17.75s - $425
d
$993 = $17.75s + $425
What is the remainder when (x4 + 36) is divided by (x2 – 8)?
Answer:
x^5/y for x
Step-by-step explanation:
Answer:
The answer is C 100
Step-by-step explanation:
Write an equation in slope-intercept form that would have infinitely many solutions in a system of equations with 5x+2y=8
Answer:
y=5/2x-4
Step-by-step explanation:
got it right on my math assignment
The required equation of line in the slope-intercept form will be [tex]y=-\dfrac{5}{2}x+4[/tex].
The given equation of line is [tex]5x+2y=8[/tex].
It is required to write the equation of a line in the slope-intercept form which has infinitely many solutions in the system of equation with the given line.
The system of equations has infinitely many solutions when the equations are the same or all of their coefficients are in the same ratio.
So, the other equation could be,
[tex]k(5x+2y)=8k\\5x+2y=8[/tex]
Now, the equation in slope-intercept form can be written as,
[tex]5x+2y=8\\2y=-5x+8\\y=-\dfrac{5}{2}x+4[/tex]
where the slope of the line is [tex]-\dfrac{5}{2}[/tex] and the y-intercept is 4.
Therefore, the required equation of line in the slope-intercept form will be [tex]y=-\dfrac{5}{2}x+4[/tex].
For more details, refer to the link:
https://brainly.com/question/11824567
What’s the common difference for this arithmetic sequence: 23,__,__,50...
9514 1404 393
Answer:
9
Step-by-step explanation:
The 4th term is the sum of the first term and 3 times the common difference.
50 = 23 + 3d
27 = 3d
9 = d
The common difference is 9.
__
The first few terms are ...
23, 32, 41, 50, 59, 68, ...
Find the distance between points M(6,16) and z (-1,14) to the nearest tenth
Answer:ririiriririrjrhr
Step-by-step explanation:
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