Answer:
distribute -x to terms inside the parentheses
3x - 5y = 4, -2x + 6y = 18 (system of equations)
Answer:
(x, y) = (57/4, 31/4)
Step-by-step explanation:
-2x + 6y = 18
-2x = 18 - 6y
x = -9 + 3y
3(-9 + 3y) - 5y = 4
-27 + 9y - 5y = 4
4y = 31
y = 31/4
x = -9 + 3(31/4) = 57/4
Answer:
Step-by-step explanation:
-5y=4-3x
y=(4/-5)-(3/-5x)
2x+6y=18
6y=18-2x
y=18/6-(2/6x)
y=y
(4/-5)-(3/-5x)=18/6-(2/6x)
0.93x=3.8
x=3.8/0.93
x=4.09
sub 4.09 for the 3x-5y=4
which will give you y=1.65
sub 4.09 for -2x+6y=18
which will give you y=4.36
Old solve
(x ÷ 5)(x÷5)(x÷5)
Answer:
1/125(x^3)
Step-by-step explanation:
Let's simplify this expression.
[tex]\frac{x}{5} * \frac{x}{5} * \frac{x}{5}[/tex] [tex]\frac{xxx}{5*5*5}[/tex] [tex]\frac{x^3}{5*5*5}[/tex] [tex]\frac{x^3}{125}[/tex] [tex]\frac{1}{125}x^3[/tex]Therefore, the simplified answer is [tex]\frac{1}{125}x^3[/tex].
Find the domain and range of the function
Step-by-step explanation:
using set notation
domain [-3,3]
range[-1,3]
A store sells bandanas for $2 each and combs for $1. Shelby buys 3 bandanas and a comb. Kendra buys 2 bandanas and 4 combs. Lucy has a "buy one get one half off" coupon, she plans on buying 4 bandanas. Find the total amount spent.
Answer:
the total cost is $21
Step-by-step explanation:
Shelby:
3 bandanas, 1 comb
3 × 2 + 1× 1
6+1= 7
kendra:
2 bandanas, 4 combs
2×2 + 4×1
4+4
=8
Lucy
4 bandanas
4×2=
8
since she has a buy 1 get 1 half off coupon
she pays full price for 2 hence 2×2= 4
half price for 2 hence 2×1 = 2
thus 4+2=6
total price= 7+8+6
= 21 dollars
A golf ball was hit with an initial velocity of 12 meters per second off the ground. The height of the ball after x seconds is modeled by the equation h(x)=-4.8x(x-2.5)
The ball hits the ground at 0 seconds or 2.5 seconds.
h represents the height of the golf ball after x seconds. The height is given by:
h(x)=-4.8x(x-2.5)
h(x) = -4.8x² + 12x
The time taken for the ball to reach the ground is at h(x) = 0, hence:
0 = -4.8x² + 12x
4.8x² - 12x = 0
x(4.8x - 12) = 0
hence x = 0; or 4.8x - 12 = 0
x = 0; or x = 2.5
Therefore the ball hits the ground at 0 seconds or 2.5 seconds.
Find out more at: https://brainly.com/question/11535666
16. John's daily income is $120. His daily income is 20% more than Michael's daily income. What is Michael's
daily income?
Plz send step by step explanation
Will mark as a brainiest
Answer:
Michael's daily income is $96
Step-by-step explanation:
Given
john's income=$120
by question
John's income is 20%more than Micheal's
so,. Micheal's income= John's income - 20%of John's income
=$120 - 20%of $120
=$120 -20/100*$120
=$120 - $24
=$96
Answer:
100
Step-by-step explanation:
[tex]x + \frac{20x}{100} = 120 \\ x + \frac{x}{5} = 120 \\ 5x + x = 600 \\ 6x = 600 \\ x = 100[/tex]
How to identify in congruence of triangles that the triangle is congruent by RHS criteria (property)
Answer:
In two right-angled triangles,If the length of the hypotenuse and one side of one triangle, is equal to the length of the hypotenuse and corresponding side of the other triangle, then the two triangles are said to be congruent.
Step-by-step explanation:
Thank you!!!!
9514 1404 393
Explanation:
The RHS congruence theorem states that, if the hypotenuse and side of one right triangle are equal to the hypotenuse and the corresponding side of another right triangle, the two triangles are congruent.
This is also known as the HL (hypotenuse-leg) congruence theorem for right triangles.
__
The four theorems generally available for showing congruence of triangles are abbreviated ...
SSS, ASA, SAS, AAS . . . . A=angle, S=side; order is important
These list the sides/angles that must be identified as corresponding congruent parts.
Notable for its absence from this list is an SSA theorem. The reason is that SSA congruence can only be shown under the specific circumstance that the angle is opposite the longest of the two sides. That can only be guaranteed if the angle is a right angle or obtuse angle.
If the triangle is a right triangle, and the hypotenuse (longest side) is one of the two corresponding sides involved in the congruence statement, then the conditions required for RHS, or SSA, or HL congruence are established.
_____
Additional comment
In general, a triangle can be "solved" (all sides and angles determined) if at least one side and any two of the remaining angles or sides are specified. That is, the triangle will be uniquely specified.
The exception is described above, where two sides and an angle are given, but the side opposite the angle is the shorter of the two. In that case, if the triangle is not a right triangle, there are always two possible solutions. This is why, in general, congruence cannot be shown between two triangles with the same SSA specification.
What is the vertex form of the function: f(x) = -12x - 6x^2- 13?
Answer:
f(x)=-6*(x+1)^2+-7
Step-by-step explanation:
This is because the vertex is at (-1|-7)
f(x)=-6*x^2+-12*x+-13
f(x)=-6*(x^2+2*x+13/6) ( Factor out )
f(x)=-6*(x^2+2*x+(1)^2+-1*(1)^2+13/6) ( Complete the square )
f(x)=-6*((x+1)^2+-1*(1)^2+13/6) ( Use the binomial formula )
f(x)=-6*((x+1)^2+1*7/6) ( simplify )
f(x)=-6*(x+1)^2+-7 ( expand )
Hope this Helps
Which of these is not a factor of 4x2? x2 2.
A Pentagon has 3 sides that are the same length and 2 sides with different lengths. The 3 sides are 8 cm long.The other 2 sides are 11 and 6 cm long. What is the perimeter?
41
Step-by-step explanation:
3(8)+11+6=24+17=41
answer these 3 questoins
Answer:
b) m = 1/2
c) m = 3
d) m = 1/3
Step-by-step explanation:
b) rise = 1, run = 2; m = rise/run, so m = 1/2
c) rise = 3, run = 1; m = rise/run, so m = 3
d) rise = 1, run = 3; m = rise/run, so m = 1/3
just give me the coordinates plzplzplz
Answer:
(0,4) and (5,-3)
Step-by-step explanation:
If a student has a monthly income of about $250, how much do you predict he might spend on clothing in a month?
Answer: depends if there like someone like me 550 but if there responable then probaly 50-80
Step-by-step explanation:
Solve for r
K=3r-s
r=?
Answer:
K=3r-s
K+s=3r
K/3+s/3=r
Step-by-step explanation:
k=3r-s
k+s=3r
k+s/3 = r
r = k+s/3
calculate the time taken for a train to travel 1000m if its initial is 3 m/s and it is moving at a constant acceleration of 0.1m/s^2
Answer:
Step-by-step explanation:
For obects already in motion, the distance travelled, s, is:
s = vi*t + (1/2)at^2
where vi is the initial velocity, a is the acceleration, and t is the time in seconds.
We want the time, t, to reach 1000 meters.
1000 m = (3 m/s)*t + (1/2)*(0.1m/s^2)*(t^2)
(1/2)*(0.1m/s^2)*(t^2) = 0.05t^2
0.05t^2 + 3t -1000 = 0
Solve quadratic equation:
t = 114.6 seconds
proportional escape room puzzle two
Answer:
Step-by-step explanation:
Is there a question to it?
Factorize; x cubed - x squared y ?
ASAP, please
Answer:
x²(x - y)
Step-by-step explanation:
x³ - x²y ( x² is common to both terms so factor it out )
= x²(x - y)
p is a degree 3 polynomial with p ( 0 ) = 22.08 and zeros 2 and 4 i . Find an equation for p with only real coefficients (i.e. no i in your equation).
Use x as your input, and round all answers to 2 decimal places as needed.
Answer:
P(x) = -0.69x³ + 2.76x² - 11.04x + 44.16Step-by-step explanation:
Let P(x) is the function with zero's 2 and 4i.
It has to have one more zero since it is of degree 3. This is a conjugate of 4i and is -4i.
The function has the shape of:
P(x) = a(x - 2)(x - 4i)(x + 4i)And we have P(0) = 22.08
Let's substitute and find the value of a:
22.08 = a(0 - 2)(0 - 4i)(0 + 4i)22.08 = a(-2)(-4i)(4i)22.08 = a(-2)(-16i²)22.08 = a(-32)a = - 22.08/32a = - 0.69The function is now:
P(x) = -0.69(x - 2)(x - 4i)(x + 4i)
= -0.69(x - 4)(x² + 16)
= -0.69(x³ - 4x² + 16x - 64)
= -0.69x³ + 2.76x² - 11.04x + 44.16
Foundation Geometry
A. 57*
B. 90*
C.33*
D.67*
Answer:
B or D
Step-by-step explanation:
I believe the answer is B or D if it is not im am very sorry i forgot
Quis
if
A= 3
B= 4
C= 2
so
A x B - C
is
Answer:
if
A= 3
B= 4
C= 2
so
A x B - C
iis
3 x 4 - 2
=12 - 2
=10 ✓
Answer:
if
A= 3
B= 4
C= 2
so
A x B - C
iis
3 x 4 - 2
=12 - 2
=10 ✓
PLEASEEE HELPPPPPPPPPPPPPPPPPP
Answer:
coordinate is 3rd or -;- coordinates
can someone please help me with this
Please help, I’ll mark your answer as brainliest!
Show your work on this I will mark as brainliest as well
Answer:
(-1, -4.5)
(-1.5, -2.5)
Step-by-step explanation:
To find the midpoint add the coordinates and divide by 2
19.( -8,-2) (6,-7)
((-8+6)/2, (-2+-7)/2) = (-2/2, -9/2) = (-1, -4.5)
20. ( 6,5) (-8,-10)
(( 6+-8)/2 , (5-10)/2) = (-3/2,-5/2) = (-1.5, -2.5)
Answer:
19. (-1, -4.5)
20. (-1, -2.5)
Step-by-step explanation:
19.
Use the midpoint formula.
[tex]\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}[/tex]
Substitute the values.
[tex]\frac{-8+6}{2},\frac{-2-7}{2}[/tex]
Add/Subtract the numerators.
[tex]\frac{-2}{2},\frac{-9}{2}[/tex]
Divide.
-1, -4.5
20.
Use the midpoint formula.
[tex]\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}[/tex]
Substitute the values.
[tex]\frac{6-8}{2},\frac{5-10}{2}[/tex]
Add/Subtract the numerators.
[tex]\frac{-2}{2},\frac{-5}{2}[/tex]
Divide.
-1, -2.5
Please help me thanks a lot
Answer:
C
Step-by-step explanation:
Plot your point at (-9,0) then draw your line with your slope (plot some other points first). Using algebra rearrange your y=mx+b formatted equation.
y=-5/3x-15, 3y = -5x - 45, 5x + 3y = -45
s 0.4544555444........ Rational or Irrational? Why
Answer:
Rational
Step-by-step explanation:
Its rational because it has the same numbers/pattern
You can find the answer in the image above.
Can someone pls help me :(( tysm if u do and i have 7 khan academy’s and there only 4 questions on each on can someone pls help me on them there all due by 12 tn and i dont know who else to ask for help tysm if u do:c
Answer:
-8
Step-by-step explanation:
I’ll substitute x for the blank space:
-2 = x + 6
-2 - 6 = x
x = -8
-8 + 6 = -2 ✅
Please answer this question it would make my day and I’ll give brainliest! it’s a math homework question Im stuck on):
Answer:
Step-by-step explanation:
It is actually fairly simple; just multiple the percentage by the total students, 10.
Cat, Dog: 10% of 10 is 1.
Cat, No Dog: 30% of 10 is 3.
Cat Total: 1+3 = 4.
No Cat, Dog: 40% of 10 is 4.
No Cat, No Dog: 20% of 10 is 2.
No Cat Total: 4+2 = 6.
Dog Total: 4+1 = 5.
No Dog Total: 3+2 = 5.
what is the slope of the line through (-9,6), (-3,9)
please help me asap if you can!
Answer:
Step-by-step explanation: -3(m-2)=-9
-3m + 6 = -9
-3m = -15
m=5
Answer:
[tex]m=5[/tex]
Step-by-step explanation:
[tex]-3(m-2)=-9~(Given)\\\\-3m+6=-9~(Distributive~Property)\\\\-3m+6-6=-9-6~(Addition~Property~of~Equality)\\\\-3m=-15~(Simplify)\\\\\frac{-3m}{-3}=\frac{-15}{-3}~(Division~Property~of~Equality)\\\\m=5~(Simplify)[/tex]