Answer:
[tex]\left \{ {{y=-1} \atop {x=2}} \right.[/tex]
Step-by-step explanation:
[tex]\left \{ {{5x+4y=6} \atop {-2x-3y=-1}} \right. <=> \left \{ {{10x+8y=12} \atop {-10x-15y=-5}} \right.<=> \left \{ {{-7y=7} \atop {-10x-15y=-5}} \right. <=> \left \{ {{y=-1} \atop {-10x-15y=-5}} \right. <=> \left \{ {{y=-1} \atop {-10x+15=-5}} \right. <=>\left \{ {{y=-1} \atop {-10x=-20}} \right. => \left \{ {{y=-1} \atop {x=2}} \right.[/tex]
A projectile is thrown upward so that its distance above the ground after t seconds is h = -156 + 510t. What is its maximum height?
For the parabola:
h(t) = -at2 + bt, the maximum occurs at -b/2a
For h(t) = -16t2 + 576t that is -576/(-2)(-16), or -576/32, or 18.
The projectile is at its highest point at 18 seconds.
50pt Which of the following are maximum and minimum points of the function y=sin(x+ π)?
Answer:
none of the above
Maximum (3π/2, 1); Minimum (π/2, -1)
Step-by-step explanation:
The sine function is shifted left 1/2 cycle by the addition of π to x in the argument. That basically inverts the function, so it is equivalent to ...
y = -sin(x)
This has a minimum of -1 at π/2, and a maximum of +1 at 3π/2. This does not match any of the offered answer choices.
__
You might want to discuss this question with your teacher.
Answer:
The correct answer is C!
Step-by-step explanation:
The dude that said there’s no answer doesn’t know what he’s talking about.
Three Snickers bars and two Butterfinger bars contain a total of 23 grams of protein. One Snickers bar and one Butterfinger bar contain a total of 10 grams of protein. How much protein does one Snickers bar contain?
Answer:
.
Step-by-step explanation:
...............................
Step-by-step explanation:
.....................
Karina uses the system of equations below to compare the monthly utility costs in July and December for electricity, x, and natural gas, y. 750x + 17y = 141.61 300x + 30y = 75.90 Karina solves the system using linear combination and arrives at the equation 116y = 96.28. She then solves this equation for y. Which statement explains Karina’s solution? The cost of natural gas is $0.17 per unit. The cost of natural gas is $0.20 per unit. The cost of natural gas is $0.72 per unit. The cost of natural gas is $0.83 per unit.
The correct statement is The cost of natural gas is $0.83 per unit.
The equations representing her utility costs in July and December are known as simultaneous equations. These equations have to be solved jointly in order to determine the cost of electricity and natural gas.
Given the equation gotten by Karina: 116y = 96.28
Where y represent the cost of natural gas
In order to determine the value of y, divide both sides of the equation by 116
y = 96.28 / 116
y = $0.83
To learn more about simultaneous equations, please check: https://brainly.com/question/25875552
im stuck step bro #im a guy
Answer:
Well then...
Step-by-step explanation:
Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region y=4x^2, y=x^2 + 3
Answer:
Step-by-step explanation:
integrate with respect to x
Area is symmetric so will be twice the integral from zero to 1
( I cannot seem to figure out how to make the lower limit negative in this editor)
[tex]A = 2\int\limits^1_0 {(x^2 + 3) - 4x^2} \, dx[/tex])
[tex]A = 2\int\limits^1_0 {-3x^2 + 3} \, dx[/tex]
[tex]A = 6\int\limits^1_0 {-x^2 + 1} \, dx[/tex]
A = 6(-⅓x³ + x)[tex]\left \| {{x=1} \atop {x=0}} \right.[/tex]
A = 6((-⅓(1)³ + (1)) - (-⅓(0)³ + (0)))
A = 6(⅔)
A = 4 units²
what does the E stand for in PEMDAS?
Answer:
Exponents
Step-by-step explanation:
Parentheses
Exponents and roots
Multiplication
Division
Addition
Subtraction
8. What are the solutions to this system
of equations?
3x + y = -1
2x + y=0
Identify the Nature of the Solution, Show
all work below.
-
Answer:
Below in bold.
Step-by-step explanation:
3x + y = -1
2x + y=0
Subtract to eliminate y:
3x - 2x + y - y = -1 - 0
x = -1
So, substituting for x in the first equation;
3(-1) + y = -1
y - 3 = -1
y = 2.
The solution is the ordered pair (-1, 2).
The system is a pair of straight lines which intersect at the point (-1, 2).
Which of the following quadrants of the standard (x,y) coordinate plane contain points on the graph of the equation 6x – 3y = –9 ?
A. l and lll only
B. l, ll and lll only
C. l, ll and IV only
D. I, II and IV only
E. II, IIIand IV
Using linear function concepts, it is found that the correct option is:
B. l, ll and lll only
A linear function is modeled by:
[tex]y = mx + b[/tex]
In which:
m is the slope.b is the y-intercept.If the slope is positive.
The function goes through quadrants I and III.If the intercept is positive, it also goes through quadrant II.If the intercept is negative, it also goes through quadrant IV.If the slope is negative:
The function goes through quadrants II and IV.If the intercept is positive, it also goes through quadrant I.If the intercept is negative, it also goes through quadrant III.In this problem, the equation is:
[tex]6x - 3y = - 9[/tex]
Placing it into the standard format:
[tex]3y = 6x + 9[/tex]
[tex]y = \frac{6}{3}x + \frac{9}{3}[/tex]
[tex]y = 2x + 3[/tex]
Both slope and intercept are positive, hence, quadrants I, II and III, option B.
You can learn more about linear functions at https://brainly.com/question/16302622
4. The function y=-0.12x + 0.4 represents the percent y in decimal form of
battery power remaining x hours after turning on the laptop.
The slope is BLANK. This means the power is BLANK
by BLANK % per hour.
Please fill in blanks tysm
Answer:
Slope=0.12 power is down by 28%
Step-by-step explanation:
:)
1/2x + 4 = 10
solve the following equation algebratically. Show the work to support the answer.
Answer:
(1/2)x + 4 - 4 = 10 - 4
2(1/2)x = 6 * 2
x = 12
An eight-person relay team completed a race in 96.8 seconds. On average, what was each runner's time?
Answer:
12.1
Step-by-step explanation:
Answer:
12.1 Seconds
Step-by-step explanation:
96.8/8=12.1
50, 60, 72, ...
Find the 8th term.
Calculate the sum of integers x satisfying 15 ⋮ x and x < 0
Answer:
radius of the curve=r=150m
coefficient of friction=\muμ =0.6
As car is avoid skidding
\begin{gathered}\\ \sf\hookrightarrow \dfrac{mv^2}{r}=\mu mg\end{gathered}
↪
r
mv
2
=μmg
Cancel m
\begin{gathered}\\ \sf\hookrightarrow \dfrac{v^2}{r}=\mu g\end{gathered}
↪
r
v
2
=μg
\begin{gathered}\\ \sf\hookrightarrow v^2=\mu rg\end{gathered}
↪v
2
=μrg
\begin{gathered}\\ \sf\hookrightarrow v^2=0.6(10)(150)\end{gathered}
↪v
2
=0.6(10)(150)
\begin{gathered}\\ \sf\hookrightarrow v^2=60(150)\end{gathered}
↪v
2
=60(150)
\begin{gathered}\\ \sf\hookrightarrow v^2=900\end{gathered}
↪v
2
=900
\begin{gathered}\\ \sf\hookrightarrow v=30ms^{-1}\end{gathered}
↪v=30ms
−1
Solve for q using both equation 1 and 2 question in pic
Answer:
p=1/8 q=3/4
Step-by-step explanation:
-2p+7q=5
-6p+35q=51/2
cancel out a variable
(-5)(-2p+7q=5)
-6p+35q=51/2
10p-35q=-25
-6p+35q=51/2 =
4p=1/2
4p/4=1/2 /4
p=1/8
substitute p=1/8 into one of the equation to find q
-2p+7q=5
-2(1/8)+7q=5
-1/4+7q=5
7q=5+1/4
7q=21/4
q= 21/4 /7
q=3/4
Which answer best describes the complex zeros of the polynomial function?
f(x) = 13 - 22 + 6x - 6
The function has two real zeros and one nonreal zero. The graph of the function intersects the x-axis at exactly one
location.
The function has one real zero and two nonreal zeros. The graph of the function intersects the x-axis at exactly two
locations.
The function has one real zero and two nonreal zeros. The graph of the function intersects the x-axis at exactly one
location.
The function has three real zeros. The graph of the function intersects the x-axis at exactly three locations.
Answer:
The function has one real zero and two nonreal zeros. The graph of the function intersects the x-axis at exactly one
location.
f(x)=x^2-7 and h(x)=7x-5, then f(h(2))= ?
==================================================
Work Shown:
h(x) = 7x-5
h(2) = 7(2)-5
h(2) = 14-5
h(2) = 9
f(h(2)) = f(9)
f(x) = x^2-7
f(9) = 9^2-7
f(9) = 81-7
f(9) = 74
f(h(2)) = 74
-----------
Here's a slightly alternative approach:
f(x) = x^2 - 7
f(h(x)) = ( h(x) )^2 - 7
f(h(x)) = ( 7x-5 )^2 - 7
f(h(2)) = ( 7*2-5 )^2 - 7
f(h(2)) = ( 14-5 )^2 - 7
f(h(2)) = ( 9 )^2 - 7
f(h(2)) = 81 - 7
f(h(2)) = 74
write the equation of the line which has the given slope "m" and whivh passes through the given point...
a.(2,10) and m= -4
b.(4,-4) and m=3/2
c.(0,0) and m=3/5
equation of the line which has the given slope "m" and whivh passes through the given point...
a.(2,10) and m= -4
b.(4,-4) and m=3/2
c.(0,0) and m=3/5
the a,b, and c have the same formula
-16-|-2-4|+7 please solve this for me and explain. i would really appreciate it.
Answer:
-15
Step-by-step explanation:
-16 -|-6| +7
-16 - 6 + 7
= - 15
Absolute value is just taking the positive value of a number.
Step-by-step explanation:
-16-(-2-4)+7=
-16-(-6)+7=
-16+6+7=
-16+13=
-3
Find the future value of 1000 at 7 % interest compounded annually for 10 years.
Answer:
1967.15
Step-by-step explanation:
1000 x 1.07^10 = 1967.15
The future value of 1000 with annual compounding for 10 years is $1967.15.
The formula for calculating with annual compounding is:
FV = P (1 + r)^n
FV = Future value P = the amount deposited R = interest rate N = number of years1000 x (1.07)^10 = $1967.15
To learn more about future value, please check: https://brainly.com/question/18760477
What is the diameter of a circular swimming pool with a radius of 9 feet? Enter only the number
Answer:d=18FT
Step-by-step explanation:
YOUR WELCOM :)
GIVING 25 POINTS
Why won’t you ever have a remainder when dividing decimals?
Answer:
Because it is decimal
Step-by-step explanation:
Decimal do not have remainder
The scale on a map is 2 in. =250 miles. If Toledo and Kansas City are 2.25 in. How far are they apart in real life?
Answer:
281.25 miles
Step-by-step explanation:
2=250
1=125
0.5=62.5
0.25=31.25
250+31.25=281.25
How do you turn a 5:1 ratio into a fraction
Answer:
[tex]\frac{5}{1}[/tex] is the same as 5:1
what is 70*77 please help
Help help math straightforward answer ASAP pelsss thanks
Answer:
55 degrees
Step-by-step explanation:
a line is 180 degrees. also, all angles in any triangle add up to 180 degrees. so, find the missing angle in the triangle by 180-30-25=125 degrees. Then to find angle 4, 180-125=55 degrees.
x - y = -4
-5 + 6y = 22
The answer is (-2,2) but i just need to show the work for it so please help with that.
Answer:
(-2, 2).
Step-by-step explanation:
x - y = -4
-5x + 6y = 22 Multiply the first equation by 5:
5x - 5y = -20 Now Add the last 2 equations:
y = 2.
Substitute y = 2 in the first equation:
x - 2 = -4
x = -4 + 2
x = -2.
Answer:
x=1/2, y=9/2. (1/2, 9/2).
Step-by-step explanation:
x-y=-4
-5+6y=22
--------------
y=x-(-4)
y=x+4
-5+6(x+4)=22
-5+6x+24=22
6x+24-5=22
6x+19=22
6x=22-19
6x=3
x=3/6
x=1/2
y=1/2+4=1/2+8/2=9/2.
I am doing Khan Academy and I'm stuck on a question that said " What is another way to make 4.65 ? "
I learned it at school but I still need help on that Question.
Answer:
[tex]\frac{465}{100}[/tex] or [tex]\frac{93}{20}[/tex]
Step-by-step explanation:
You can always just multiply the by 100/100 to get any number into a fraction form. I am not sure if this is what you were asking, but here you go. Then you can simplify to get 93/20.
Convert 4pie/5 to degrees. 135° 144° 216° 225°
[tex]\huge \bf༆ Answer ༄[/tex]
For converting radians to degree, we multiply the value in radian by [tex] \dfrac{180}{π}[/tex]
That is ~
[tex] \sf \dfrac{4 \cancel\pi}{ \cancel5} \times \dfrac{ \cancel{180} \: \: {}^{36} }{ \cancel\pi} [/tex][tex] \sf4 \times 36[/tex][tex] \sf144 \degree[/tex]