Answer:
Quadratic polynomial can be factored using the transformation ax
2
+bx+c=a(x−x
1
)(x−x
2
), where x
1
and x
2
are the solutions of the quadratic equation ax
2
+bx+c=0.
−x
2
−3x+5=0
All equations of the form ax
2
+bx+c=0 can be solved using the quadratic formula:
2a
−b±
b
2
−4ac
. The quadratic formula gives two solutions, one when ± is addition and one when it is subtraction.
x=
2(−1)
−(−3)±
(−3)
2
−4(−1)×5
Square −3.
x=
2(−1)
−(−3)±
9−4(−1)×5
Multiply −4 times −1.
x=
2(−1)
−(−3)±
9+4×5
Multiply 4 times 5.
x=
2(−1)
−(−3)±
9+20
Add 9 to 20.
x=
2(−1)
−(−3)±
29
The opposite of −3 is 3.
x=
2(−1)
3±
29
Multiply 2 times −1.
x=
−2
3±
29
Now solve the equation x=
−2
3±
29
when ± is plus. Add 3 to
29
.
x=
−2
29
+3
Divide 3+
29
by −2.
x=
2
−
29
−3
Now solve the equation x=
−2
3±
29
when ± is minus. Subtract
29
from 3.
x=
−2
3−
29
Divide 3−
29
by −2.
x=
2
29
−3
Factor the original expression using ax
2
+bx+c=a(x−x
1
)(x−x
2
). Substitute
2
−3−
29
for x
1
and
2
−3+
29
for x
2
.
−x
2
−3x+5=−(x−
2
−
29
−3
)(x−
2
29
−3
)
EVALUATE
5−3x−x
2Quadratic polynomial can be factored using the transformation ax
2
+bx+c=a(x−x
1
)(x−x
2
), where x
1
and x
2
are the solutions of the quadratic equation ax
2
+bx+c=0.
−x
2
−3x+5=0
All equations of the form ax
2
+bx+c=0 can be solved using the quadratic formula:
2a
−b±
b
2
−4ac
. The quadratic formula gives two solutions, one when ± is addition and one when it is subtraction.
x=
2(−1)
−(−3)±
(−3)
2
−4(−1)×5
Square −3.
x=
2(−1)
−(−3)±
9−4(−1)×5
Multiply −4 times −1.
x=
2(−1)
−(−3)±
9+4×5
Multiply 4 times 5.
x=
2(−1)
−(−3)±
9+20
Add 9 to 20.
x=
2(−1)
−(−3)±
29
The opposite of −3 is 3.
x=
2(−1)
3±
29
Multiply 2 times −1.
x=
−2
3±
29
Now solve the equation x=
−2
3±
29
when ± is plus. Add 3 to
29
.
x=
−2
29
+3
Divide 3+
29
by −2.
x=
2
−
29
−3
Now solve the equation x=
−2
3±
29
when ± is minus. Subtract
29
from 3.
x=
−2
3−
29
Divide 3−
29
by −2.
x=
2
29
−3
Factor the original expression using ax
2
+bx+c=a(x−x
1
)(x−x
2
). Substitute
2
−3−
29
for x
1
and
2
−3+
29
for x
2
.
−x
2
−3x+5=−(x−
2
−
29
−3
)(x−
2
29
−3
)
EVALUATE
5−3x−x
2
Step-by-step explanation:
The equation 2x-7=5+x has exactly one solution. True or false
Answer:
True
Step-by-step explanation:
x=5+7=12
The only solution is x=12.
Sabeena’s pen measures 144 millimeters long. Her pencil measures 18 centimeters long. How many centimeters longer is Sabeena’s pencil than her pen?
Enter the correct answer in the box.
Answer:
3.6 cm or 36mm
Step-by-step explanation:
So we know that there are 10 millimetres in a centimetre. So we can convert the 18cm into millimetres to make it easy to subtract
18cm*10=180mm
now take the pencil length subtracted by the length of the pen.
180mm-144mm=36mm
now if you want the answer in cm, convert it by dividing the answer by 10
36/10=3.6cm
Hope This Helps :)
Answer:3.6 cm
Have a great day!
What is an equation of the line that passes through the point (-1, -3) and is perpendicular to the line x –2y = 14?
The equation of the line passing through the point ( -1,-3) will be y = -2x - 5.
What is an equation of the line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
The general form of the equation of the line:-
y = mx + c
Given that the line passes through the point (-1, -3) and is perpendicular to the line x –2y = 14. the equation of the line will be calculated as:-
Make equation: y = mx + b
x = 2y + 14
2y = x - 14
y = 1/2x - 7
For a line perpendicular, the sign will be opposite and the slope will be reciprocal.
y = -2x + b
-3 = -2(-1) + b, b = -5
The equation of the line will be written as below:-
y = -2x - 5
Therefore, the equation of the line passing through the point ( -1,-3) will be y = -2x - 5.
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find the solution to the following system using substitution or elimination:
y = 3x + 2
y = -2x - 8
A. (-2, -4).
B. (-3/5, -34/5).
C. (-6/5, -8/5).
D. (1, 6)
Answer: A
Explanation:
Just use substitution because it's more efficient. Plug -2x-8 into y to make -2x-8=3x+2. Add 8 to both sides to get -2x=3x+10. Subtract 3x to both sides to get -5x=10. Divide -5 to both sides to get x=-2. Now, plug in x=-2 to one of the equations, let's use y=3x+2. The equation would be y=3(-2)+2. Multiply 3 and -2 to get -6. Add -6 to 2 and you'll result with y=-4.
N(x) will give you an output for any number you use as an input except which of the following?
n(x) will give output for any number except 0.
define equationAn equation consists of two sides, the left-hand side and the right-hand side, which are separated by an equals sign (=). The left-hand side and the right-hand side each contain one or more variables, which are quantities that can vary or be assigned different values.
Given
n(x)=2/x
From the given option, 3 and5 will satisfy the equation.
n(x)=2/3 for the value of x=3
n(x)=2/5 for the value of x=5
For the value of x=0
O will not satisfy.
n(x)=2/0=not defined
Hence, n(x) will give output for any number except 0.
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helppppppansjfnnsnwkgn
Answer:
the third one P N M
Step-by-step explanation:
Answer:
NPM
Step-by-step explanation:
i got you fammmmmmmmm
Simplify 3(2y -1) + 2y
Answer: 8y -3
Step-by-step explanation:
3(2y -1) + 2y
6y -3 + 2y
8y -3
Answer:
8 y - 3
Step-by-step explanation - I got it from google so its right 100%
Help me pls ASAP thank you
Answer:
3rd option
Step-by-step explanation:
The input(x) does not repeat
answer quickly !!! Pls
Answer:
(6 × 5) + (6 × 3) = 6 × (5 + 3)
Step-by-step explanation:
Since both 5 and 3 are being multiplied by 6, the total would be 6 multiplied by the sum of 5 and 3.
what is 3,910 divided by 25 using the power of 10
A: 25
B: 250
C: 25,000
Answer:
izuocha is superior
Step-by-step explanation:
Answer:
ochaochaochaocha
Step-by-step explanation:
sorry i trying to get attention from someone
Sas a ribbon that is 5/6 yard long. She cuts off 3/5 of that ribbon and uses it to tie her hair back. She gives the rest to her sister. How much of the original ribbon did she give to her sister?
Answer:
7/30
Step-by-step explanation:
5/6 = 25/30 3/5 = 18/30
25/30 - 18/30 = 7/30
Sas gives 7/30 of the ribbon to her sister.
Hope this helps! :3
Elena deposits $1,500 in a savings account that earns 3.0% simple interest per year. If no deposits or withdrawals are made during the year, how much money will be in her account after one year?
Answer:
FV= $1,545
Step-by-step explanation:
Giving the following information:
Elena deposits $1,500 in a savings account that earns 3.0% simple interest per year.
To calculate the nominal value of the account after one year, we need to use the following formula:
FV= (P*r*t) + P
FV= future value
P= principal
r= interest rate
t= 1
FV= (1,500*0.03*1) + 1,500
FV= $1,545
Can anyone by chance know how to do these geometry questions?
Answer:
G is equal to (8, -11)
Step-by-step explanation:
We are given the midpoint and one end of the line segment. We can find the other end of it by taking the distance from H to M, doubling it, and adding that to H:
[tex]G(x, y) = H(x, y) + 2(M(x, y) - H(x, y))\\\\G_x = H_x + 2(M_x - H_x)\\G_x = -4 + 2(-6 - (-4))\\G_x = -4 + 2(-2)\\G_x = -4 - 4\\G_x = 8\\\\G_y = H_y + 2(M_y - H_y)\\G_y= 3 + 2(- 3 - 4)\\G_y= 3 - 6 - 8\\G_y = -11[/tex]
So the coordinates of endpoint G are (8, -11)
What is the rate
$150/25
written as a unit rate?
A.
$30/5
B.
$6/1
C.
$4/1
D.
$125/2
Answer:
B
Step-by-step explan
150 divide by 25
25 divide by 25
(9×9)×{-5}÷2=.....please help
Answer:
405/2
202 remainder 1
Step-by-step explanation:
pliz mark brainliest
Answer:
81×(-5)÷2
-202.5
-405 down 2 , -202 1down2
Step-by-step explanation:
did I got wrong? ?
PLEASE HELP ME WITH THIS ASAP
9514 1404 393
Explanation:
1. ΔABC ≅ ΔDEF . . . . . 1. SAS postulate*
_____
The two given congruent sides are either side of the given congruent angle, so the SAS postulate applies. The objective appears to be irrelevant.
Given f(x) = x^2 + 1 with domain: {-2, -1, 0, 1, 3}. What is the range, R?
a) {-1, -2, 0, 1, 3}
b) {4, 1, 0, 1, 9}
c) {5, 2, 1, 2, 10}
d) {3, 0, -1, 0, 8}
Passing through
(1,2) and (5,10)
Step-by-step explanation:
equation of the line is
y =mX + C
to calculate m(slope) :
m= 10-2/5-1 = 2
to find C ....Substitute in eq. by one point
2= 2×1+C
C. = 0
So the eq. is
y=2X
Which expressions are equivalent to 5x?
(Didn’t expect the test to be this hard ;C)
A: 5x + 0
B: x (0) + 4x
C: x + (0 + 4x)
D: 4x + (1) x
E: 5x multiplied by 0
F: 5x (1)
Answer:
A, E, F
Step-by-step explanation:
Your welcome
Answer:
its a,d,c,e, and f
Step-by-step explanation:
Solve the system using substitution. Check your solution.
2x - y= 65
5y = x
Answer:
The solutions to the system of equations are:
[tex]x=\frac{325}{9},\:y=\frac{65}{9}[/tex]
Step-by-step explanation:
Given the system of the equations
[tex]\begin{bmatrix}2x-y=65\\ 5y=x\end{bmatrix}[/tex]
isolate 'x' for 2x-y
[tex]2x-y=65[/tex]
Add y to both sides
[tex]2x-y+y=65+y[/tex]
[tex]2x=65+y[/tex]
Divide both sides by 2
[tex]\frac{2x}{2}=\frac{65}{2}+\frac{y}{2}[/tex]
[tex]x=\frac{65+y}{2}[/tex]
[tex]\mathrm{Subsititute\:}x=\frac{65+y}{2}[/tex]
isolate 'y' for [tex]5y=\frac{65+y}{2}[/tex]
[tex]5y=\frac{65+y}{2}[/tex]
[tex]10y=65+y[/tex]
subtract y from both sides
[tex]10y-y=65+y-y[/tex]
[tex]9y=65[/tex]
Divide both sides by 9
[tex]\frac{9y}{9}=\frac{65}{9}[/tex]
[tex]y=\frac{65}{9}[/tex]
[tex]\mathrm{For\:}x=\frac{65+y}{2}[/tex]
[tex]\mathrm{Subsititute\:}y=\frac{65}{9}[/tex]
[tex]x=\frac{65+\frac{65}{9}}{2}[/tex]
[tex]x=\frac{325}{9}[/tex]
The solutions to the system of equations are:
[tex]x=\frac{325}{9},\:y=\frac{65}{9}[/tex]
find the slope of the line
Answer:
Up 5, 2 to the right (5/2)
Step-by-step explanation:
I just counted the units of the Cartesian Plane
what is the value of X with f (x) =4
Answer:
I can find all the x-values in the domain of the function f(x)=4:
Domain = (−∞, ∞), {x | x∈R}
Here’s the range if you need it:
Range: {4}
Hope this helps! :)
The answer is Range: {4} or, x is a member of the real numbers and that it can be anything from negative infinity to positive infinity.
What is number?A number is a mathematical object used to count, measure, and label. The original examples are the natural numbers 1, 2, 3, 4, and so forth. Numbers can be represented in language with number words.
Here, we have,
f (x) =4
now,
we can find all the x-values in the domain of the function f(x)=4:
Domain = (−∞, ∞), {x | x∈R}
Here’s the range if you need it:
Range: {4}
There are x’s in the equation.
It’s actually all numbers are x’s because anything you put into the function f(x)=4, y will always equal 4.
So the value of x in f(x)=4 is all numbers.
To be more specific, all real numbers.
That’s why I put (−∞, ∞), {x | x∈R} because x is a member of the real numbers and that it can be anything from negative infinity to positive infinity.
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what is the answer to X - 8 < -2
Answer:
X>6
Step-by-step explanation:
X-8<-2
X<-2+8
X>6
because the sign changed from negative to positive, the inequality has to be flipped
Nii saved more than Yaw. He saved 17 cedis more than Yaw
Answer:
thats great =)
Step-by-step explanation: can i pls have brainliest pls im on one more
Answer:
Step-by-step explanation:
uhh
At the start of the month, Stephen’s savings account had a balance of $1,624. He made a $420 withdrawal each week for four weeks. During that month, he also made two deposits of $600 each and one deposit of $1,000. What was the balance in Stephen’s account at the end of the month?
Answer:
- 1625
Step-by-step explanation:
420 times 4 = 1680
1624 - 1680 = -56
-56 - 600 - 1000 = -1625
BRAINLIEST PLEASE
Solve the inequality 3(x - 7) + 2(4x + 9) > 0.
Answer:
x>3/11
3x - 21 + 8x + 18 >0
11x - 3 >0
11x >3
x>3/11
Answer:
Step-by-step explanation:
3(x - 7) + 2(4x + 9) > 0
3x-21+8x+18>0
11x-3>0
11x>3
x>3/11
Find c.
3.3
450
450
с
Write your answer in simplest radical form.
units
Answer:
c = 3[tex]\sqrt{6}[/tex]
Step-by-step explanation:
triangle is right isosceles so both sides equal 3[tex]\sqrt{3}[/tex]
can use pythagorean theorem which is square each leg and set it equal to the hypotenuse (side 'c') squared
(3[tex]\sqrt{3}[/tex])^2 + (3[tex]\sqrt{3}[/tex])^2 = c^2
(9x3) + (9x3) = c^2
27 + 27 = c^2
54 = c^2
c = [tex]\sqrt{54}[/tex]
simplify [tex]\sqrt{54}[/tex] to equal = [tex]\sqrt{9}[/tex] x [tex]\sqrt{6}[/tex] which simplies to 3[tex]\sqrt{6}[/tex]
I need help by score is going down
Answer:
JUST DO IT!
Step-by-step explanation:
Motivation
find the value of x.
4.
122°
100°
to
144
Answer:
84 degrees i think
Step-by-step explanation:
polygons have their interior angles add up to 540, so you just add up all the angles given and subtract them from 540, then you get your answer.
What is the y-intercept of the equation?
Answer:
5
Step-by-step explanation:
Y=-3x+5
