[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
roots of the quadratic equation ~
[tex]2 \: \: \: \:a nd \: \: - 10[/tex]discriminant ~
[tex]144[/tex]nature of roots ~
[tex]real[/tex]sum of the roots ~
[tex] - 8[/tex]product of the roots ~
[tex] - 20[/tex][tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]
Let's solve he given quadratic equation using quadratic formula ~
Let's consider the following values ~
b (Coefficient of x) = 8 a (Coefficient of x²) = 1 c (Constant term) = -20According to quadratic formula, the roots are ~
[tex] \dfrac{ - b \pm \sqrt{b {}^{2} - 4ac } }{2a} [/tex]where, ( b² - 4ac ) is known as it's discriminant ~
that is equal to ~
[tex](8) {}^{2} - (4 \times 1 \times - 20)[/tex][tex]64 - ( - 80)[/tex][tex]64 + 80[/tex][tex]144[/tex]Hence, Discriminant = 144
And since discriminant is positive, then the roots of the quadratic polynomial are real .
Let's find the roots now ~
[tex] \dfrac{ - b \pm \sqrt{b {}^{2} - 4ac} }{2a} [/tex][tex] \dfrac{ - 8 \pm \sqrt{144} }{2 \times 1}[/tex][tex] \dfrac{ - 8 \pm12}{2} [/tex][tex] \dfrac{ 2( - 4 \pm6)}{2} [/tex][tex] - 4 \pm6[/tex]So, the two roots are ~
[tex] - 4 + 6[/tex][tex]2[/tex]and
[tex] - 4 - 6[/tex][tex] - 10[/tex]Sum of roots ~
[tex] - 10 + 2[/tex][tex] -8[/tex]product of roots ~
[tex] - 10 \times 2[/tex][tex] - 20[/tex]Simplify the expression. -8n - 2n
Answer:
-10n
Step-by-step explanation:
To simplify, you add like terms so by looking at the problem you can see the 8 and the 2 both have an n after, so you can combine them.
so negative 8 minus 2 = -10 and since there are like terms you add the n making the answer -10n
If it was -8n -2 you could not simplify it since the 2 is single and without the same letter
Same with -8n - 2p because it is not the same letter
If , a = x + 2y and b = x - 2y , find ( 2a + b ) - ( a - 2b ) , in terms of x and y .
don't give unwanted ans to get the points ~
stay away if u don't know the ans ( no spams and plagiarism )
well explained ans needed ~
Thanks !! ~
question ;
if , a = x + 2y and b = x - 2y , find ( 2a + b ) - ( a - 2b ) , in terms of x and y .
answer with explanation ;
by substituting the value of a and b 2a + b = 2 ( x + 2y ) + ( x - 2y ) = 2x + 4y + 1x - 2y = 2x + 1x + 4y - 2y = 3x + 2y a - 2b = ( x + 2y ) - 2 ( x - 2y ) = x + 2y - 2x + 4y = -1 + 6yi hope my answer helps !!
Answer:
4x - 4yStep-by-step explanation:
Simplify the expression:
( 2a + b ) - ( a - 2b ) =2a + b - a + 2b = a + 3bSubstitute values:
a + 3b = x + 2y + 3(x - 2y) = x + 2y + 3x - 6y = 4x - 4ywhat type of graph is used to display categorical data?
Answer:
bar chart..
Step-by-step explanation:
5.
Use the quadratic function to predict f(x) if x equals 2.
f(x) = −3x^2 + 180x − 285
A. f(2) = 111
B. f(2) = 63
C. f(2) = 87
D. f(2) = 125
Answer:
B. f(2) = 63
Step-by-step explanation:
f (x) = -3x2 + 180x - 285
For this case, the first thing to do is replace the value of x = 2 in the given function to know the result.
We have to replace:
f (2) = -3 * (2) ^ 2 + 180 * (2) - 285
f (2) = 63
Answer:
the value of pa for x = 2 is:
f (2) = 63
The graph of a function is shown:
Answer: a) {-3, -1, 3, 4}
Step-by-step explanation:
f(x) is the output, and x is the input.
Hope it helps :) and let me know if you want me to elaborate.
Make x the subject of the equation x2+3=h
Answer:
x2\2+3\2=h/2 therefore x= -3\2+h\2
What is the estimate for 636,291 plus 280,329
Answer:
this is simple addition: 916620
Step-by-step explanation:
Answer:
637000 + 280000
Step-by-Step-Explanation:
This is probably the best estimate
The area of a parallelogram can be found by the equation area=(b)(h) Find the height of a parallelogram that has an area of 10&1/2 in and a base of 3/4 the height of the parallelogram is ____ inches
Answer:
1/2×b×h you say 1/2 =3/4×10=answer ×1/2×1/2 you get the equation
given the binomial (x+a) and (b), how would you find the product?
Answer:
bx + ba
Step-by-step explanation:
Product is multiplication
[Given] (x+a) * (b)
[Reorder] b(x + a)
[Dsitribute] bx + ba
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
A line passes through the points (4, 4) and (6, 10). What is its equation in slope-intercept form?
Given: F(x)= 5 x - 6 and G(x)= x - 4
(FoG)^-1=
By definition of inverse function,
[tex]F\left(F^{-1}(x)\right) = x[/tex]
so that
[tex]5F^{-1}(x) - 6 = x[/tex]
[tex]5F^{-1}(x) = x + 6[/tex]
[tex]F^{-1}(x) = \dfrac{x + 6}5[/tex]
Similarly,
[tex]G\left(G^{-1}(x)\right) = G^{-1}(x) - 4 = x \implies G^{-1}(x) = x+4[/tex]
Then the inverse of the composition [tex]F\circ G[/tex] is such that
[tex]\left(F \circ G\right) \left((F \circ G)^{-1}(x)\right) = x[/tex]
By definition of composition,
[tex](F\circ G)(x) = F(G(x))[/tex]
Applying [tex](F\circ G)^{-1}[/tex] to this recovers x, and this involves first inverting F, then G:
[tex](F\circ G)^{-1}(x) = G^{-1}\left(F^{-1}(x)\right)[/tex]
So, we find
[tex](F\circ G)^{-1}(x) = G^{-1}\left(F^{-1}(x)\right) = G^{-1}\left(\dfrac{x+6}5\right) = \dfrac{x+6}5 + 4 = \boxed{\dfrac{x+26}5}[/tex]
PLS HELP ASAP PLS I RLLY NEED HELP.
Answer:
THE ANWSER IS A
Step-by-step explanation:
YOU JUST DEVIDE THE REGULAR FRACTION AND PUT IT IN ORDER FROM THERE
PLS HELP PLS AND TY
Calculate the volume of a similar channel whose radius 1.5m. I need help in checking is A is correct and please send B with working if possible 3 first to answer gets ranked
Answer:
252.21m
Step-by-step explanation:
Times it by 3 and that should give you the answer you are looking for. Please mark it as brainliest
evaluate the fractions and show your complete solution. And express your answer in lowest term.
9. 3 2/10 - 1/4 = n
10. 2 5/6 - 3/4 = n
please help me with this thanks.
Answer: 9. n = 2 19/20 10. n = 2 1/12
Step-by-step explanation: 3 2/10-1/4 = n 32/10−1/4 32/10+−1/4 16/5+−1/4 64/20+−5/20 n = 59/20 n = 2 19/20 2 5/6-3/4 = n 17/6-3/4 17/6+-3/4 34/12+-9/12 n = 25/12 n = 2 1/12
HELPPPPPPPPPPP! I will give brainliest to person who answers
Chanelle selects a marble from the container and then returns it to the container. When she does this 3 times, the probability of choosing a red marble all 3 times is 1/216. based on this info, what is the probability of Chanelle choosing a red marble the first time she selects a marble? (1) 1/72 (2) 1/36 (3) 1/8 (4) 1/6
Answer:
4
Step-by-step explanation:
I just multiplied 6 three times by itself to get 216 and that is how I got 1/216 or 4 as the answer
Answer:
1/6
Step-by-step explanation:
1/216 is the same as 1/6*1/6*1/6. This is 3 times, so the probability is 1/6.
1/3(12-9y) distributive property
Answer:
4 - 3y
Step-by-step explanation:
[tex]\frac{1}{3}[/tex] (12 - 9y) ← multiply each term in the parenthesis by [tex]\frac{1}{3}[/tex]
= 4 - 3y
The simplification of 1/3(12-9y) using distributive property is 4 - 3y
What is distributive property?According to the distributive property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.
For example, 2( x +y ) can be simplified as 2 × x + 2 × y
= 2x + 2y. This is distributive property.
Similarly, ⅓( 12- 9y) can be simplified as
(1/3 × 12) - (1/3 × 9y)
= 4 - 3y
Therefore 1/3(12-9y) is equivalent to 4 - 3y
learn more about distributive property from
https://brainly.com/question/2807928
#SPJ3
factorize 27a³b³- 45a⁴b²
Blue boxed text is ur answer
- BRAINLIEST answerer
Answer:
9
a
3
b
2
(
3
b
−
5
a
)
Step-by-step explanation:
Graph the solution to your inequality on a number line or describe, in words, how to graph the inequality
on a number line.
Answer:
whats your equation?
Step-by-step explanation:
Ill edit my answer after.
Answer:
Step-by-step explanation: Sorry if im late
(X-2)(x+1)
Expand and siplify
[tex]\\ \sf\longmapsto (x-2)(x+1)[/tex]
[tex]\\ \sf\longmapsto x(x+1)-2(x+1)[/tex]
[tex]\\ \sf\longmapsto x^2+x-2x-2[/tex]
[tex]\\ \sf\longmapsto x^2-x-2[/tex]
Help? I can't get a hold of it.
|1 + 2x| + |5 − 3x| − |−5x − 8 | , is x < −10
Simplified expression is:
Answer:
steps below
Step-by-step explanation:
x < -10
|1+2x| < 0 ∴ |1+2x| = -(1+2x)
|5 − 3x| > 0 ∴ |5 − 3x| = 5-3x
|−5x − 8 | > 0 ∴ |−5x − 8 | = -5x-8
|1 + 2x| + |5 − 3x| − |−5x − 8 |
= -(1+2x) + (5-3x) - (-5x-8)
= (-2x - 3x + 5x) + (-1 + 5 + 8)
= 12
7 2/9 + -5 1/5 =
show your work, show me how you got this answer
Answer:
Step-by-step explanation:
Convert mixed fraction to improper fraction.
Find LCM of the denominators and find equivalent fraction.
Now, subtract
[tex]7\dfrac{2}{9}=\dfrac{(7*9)+2}{9}=\dfrac{63+2}{9}=\dfrac{65}{9}[/tex]
[tex]5\dfrac{1}{5}=\dfrac{26}{5}[/tex]
LCM of 9 and 5 = 45
[tex]\dfrac{65}{9}*\dfrac{5}{5}=\dfrac{325}{45}[/tex]
[tex]\dfrac{26}{5}*\dfrac{9}{9}=\dfrac{234}{45}[/tex]
[tex]7\dfrac{2}{9}- 5\dfrac{1}{5}=\dfrac{65}{9}-\dfrac{26}{5}\\\\ =\dfrac{65*5}{9*5}-\dfrac{26*9}{5*9}\\\\\\=\dfrac{325}{45}-\dfrac{234}{45}\\\\\\=\dfrac{325-234}{45}\\\\\\=\dfrac{91}{45}\\\\\\=2\dfrac{1}{45}[/tex]
Write an equation of the line in slope intercept form (-2,4) (0,0)
Answer:
y = -2x
Step-by-step explanation:
Slope = (change in y-values)/(change in x-values)
Slope = (0 - 4)/(0 - (-2)
Slope = -4/2
Slope = -2
Use the slope = -2 and point (0, 0) and substitute into y= mx + b to solve for b
y = mx + b
0 = -2(0) +b
0 = b
The equation of the line y = -2x + 0 or y = - 2x
1) 6 hats cost $67.50
What's the cost per hat?
The answer is $11.25 Just divide $67.50 by 6
The equation P=4s represents the perimeter P of a square with side length s. What is the perimeter of a square with a side length of 5ft ?
The perimeter is.
Answer:
20 feet
Step-by-step explanation:
s= side
P= 4s
I our case, s is 4, so 4*5 is 20.
Hence,
P=20
Hope this helps!
For a ride on a rental scooter, Rafael paid a $6 fee to start the scooter plus 8 cents per minute of the ride. The total bill for Rafael's ride was $18.64. For how many minutes did Rafael ride the scooter?
Answer:
158 minutes
Step-by-step explanation:
If m represents the number of minutes Rafael rode, his total bill is ...
0.08m +6.00 = 18.64 . . . . cost to start plus cost based on time
0.08m = 12.64 . . . . . . . . . . subtract 6
m = 12.64/0.08 = 158 . . . . divide by 0.08
Rafael rode the scooter for 158 minutes.
WILL GIVE BRAINIEST IF YOU GET IT RIGHT PLEASE HELPP!!!
Translation: with the digits 1,2,3 you can form three-digit numbers like 123,231,312 ... determine the sum of all possible numbers
Answer:
d
Step-by-step explanation:
po ang tamang sagon po
Answer this middle school math equation for 30 points lol
Answer:
n
Step-by-step explanation:
Answer:
[tex]x=14[/tex]
Step-by-step explanation:
Multiply both sides by -5:
[tex]-\frac{1}{5} (x-4)=-2[/tex]:
[tex]-\frac{1}{5} (x-4)*-5=-2*-5[/tex]
[tex]1(x-4)=10[/tex]
[tex]x-4=10[/tex]
Add 4 to both sides:
[tex]x-4+4=10+4[/tex]
[tex]x=14[/tex]
Pls help me on this
Answer:
I don't understand anything. if I was know of course I will help you
what is 6.38 to 1 decimal place
Answer: Is 6.4
Step-by-step explanation: I hope I helped in some way shape or form.