Answer: This is B.) -9
Step-by-step explanation:
Step-by-step explanation:
All of those numbers are greater than -5 except for B.
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
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
I know you’re supposed to change the bounds and break up the integral, but for some reason, I can’t get the 44/3. Can someone explain how to solve this definite integral?
First, look for the zeroes of the integrand in the interval [0, 6] :
x² - 6x + 8 = (x - 4) (x - 2) = 0 ⇒ x = 2 and x = 4
Next, split up [0, 6] into sub-intervals starting at the zeroes we found. Then check the sign of x² - 6x + 8 for some test points in each sub-interval.
• For x in (0, 2), take x = 1. Then
x² - 6x + 8 = 1² - 6•1 + 8 = 3 > 0
so x² - 6x + 8 > 0 over this sub-interval.
• For x in (2, 4), take x = 3. Then
x² - 6x + 8 = 3² - 6•3 + 8 = -1 < 0
so x² - 6x + 8 < 0 over this sub-interval.
• For x in (4, 6), take x = 5. Then
x² - 6x + 8 = 5² - 6•5 + 8 = 3 > 0
so x² - 6x + 8 > 0 over this sub-interval.
Next, recall the definition of absolute value:
[tex]|x| = \begin{cases}x & \text{for }x \ge0 \\ -x & \text{for }x < 0\end{cases}[/tex]
Then from our previous analysis, this definition tells us that
[tex]|x^2 - 6x + 8| = \begin{cases}x^2 - 6x + 8 & \text{for }0<x<2 \text{ or } 4<x<6 \\ - (x^2-6x+8) & \text{for }2<x<4\end{cases}[/tex]
So, in the integral, we have
[tex]\displaystyle \int_0^6 |x^2-6x+8| \, dx = \left\{\int_0^2 - \int_2^4 + \int_4^6\right\} (x^2 - 6x + 8) \, dx[/tex]
Then
[tex]\displaystyle \int_0^2 (x^2 - 6x + 8) \, dx = \left(\frac13 x^3 - 3x^2 + 8x\right) \bigg|_0^2 = \frac{20}3 - 0 = \frac{20}3[/tex]
[tex]\displaystyle \int_2^4 (x^2 - 6x + 8) \, dx = \left(\frac13 x^3 - 3x^2 + 8x\right) \bigg|_2^4 = \frac{16}3 - \frac{20}3 = -\frac43[/tex]
[tex]\displaystyle \int_4^6 (x^2 - 6x + 8) \, dx = \left(\frac13 x^3 - 3x^2 + 8x\right) \bigg|_4^6 = 12 - \frac{16}3 = \frac{20}3[/tex]
and the overall integral would be
20/3 - (-4/3) + 20/3 = 44/3
4.A counterexample can be used to show that a conjecture is false. Below are three
conjectures students made after visiting a zoo. Write a counterexample that shows that each
conjecture is false.
a. There are always more elephants in a zoo than giraffes.
TS
b. The oldest leatherback sea turtle in captivity is 33 years old.
c. American bison are never over 6 feet tall.
Answer:
Step-by-step explanation:
1. In some zoos the are more elephants than giraffes, then this conjecture can be true sometimes, however, this can not always be true because some zoo could have more giraffes
2. This can be true unless that turtle ages, or another is found that is taken into captivi9ty and found to be older
3. While most American bison are usaually below 6 feet, that is no gureantee there is no occasaional taller American Bison.
I do not know if these meet your teacher's starndard, but I hope they do. Please thanks and rate!
write a quadratic equation in standard form.
1. -6 and 4 are solutions
2. 2 and 5 are solutions
1 and 2 are two different problems
Answer:
1. x^2 +2x -24 = 0
2. x^2 -7x +10 = 0
Step-by-step explanation:
If you look at the factored and expanded forms of a quadratic with solutions p and q, you see ...
(x -p)(x -q) = x^2 -(p+q) +pq
The x-term coefficient is the opposite of the sum of solutions.
The constant is the product of solutions.
This knowledge lets you write down the standard form equation with no particular effort.
1. x^2 +2x -24 = 0
2. x^2 -7x +10 = 0
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
im stuck step bro #im a guy
Answer:
Well then...
Step-by-step explanation:
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.
The largest lollipop ever made had a mass of 2158.7kg and was made for a festival in Granna, Sweden on July 27, 2003, If a spherical lollipop with radius 2 cm has a mass of 50 g, what was the radius of this giant lollipop?
Answer:
Step-by-step explanation:
Assuming the density is the same for both lollipops, we can calculate what volume is required to make the 2158.7kg the same density of the smaller lollipop.
Small Lollipop
r = 2cm
V=4 /3πr^3
V = 33.51 cm^3
Mass is 50 g in 33.51 cm^3, so the density is:
50g/(33.51 cm^3) = 1.492 g/cm^3
We have 2158.7kg in the larger lollipop. That is 2158700 grams.
Find the volume required to contain 2158700 grams with a density of 1.492 g/cm^3. :
(2158700 grams)/(1.492 g/cm^3) = 1446775 cm^3
V=4 /3πr^3
1446775 cm^3 = (4/3)*π*r^3
r = 70.12 cm
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 :)
Find the value of x. Round to the nearest degree.
A radio or television broadcast giving up-to-date happenings is called a ____.
documentary
motion picture
commercial
newscast
the answer is D newscast
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:
The amount of money charged to borrow money, expressed as a percentage,
is called the
A. collateral
B. interest rate
O C. principal
D. loan term
Answer:
Interest rate
Step-by-step explanation:
The amount owed is called the principal and the price of borrowing money is called interest. Some people spend a day's pay (or more) per week repaying the interest and principal owed on car loans, credit card bills, student loans, and other consumer debts.
Plz help me well mark brainliest only if correct!…
Ilana has 70¢ in her purse. All the coins have the same value. What could describe all the coins she has in her purse?
71 pennies
8 dimes
14 nickels
3 quarters
Answer:
14 nickels is the answer
Step-by-step explanation:
what is 70*77 please help
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.
-2x^2 + (y)(x/3); use x= -3, and y = 2
Answer:
-2(x^2+1)
Step-by-step explanation:
1. Divide The Numbers:
-2x^2+2(-3/3)
-2x^2+2(-1)
2. Multiply The Numbers:
-2x^2+2(-1)
-2x^2-2
3. Common Factor:
a. Factor by grouping
-2x^2+2(-3/3)
-2x^2-2
b. Factor by Grouping
-2x^2-2
-2(x^2+1)
-2x^2+(2)(-3/3)
Solution: -2(x^2 + 1)
You are playing a game where you flip 3 coins, if you get all tails you lose $15, for each heads you get $3. What is your expected profit from this game?
Answer:
expected profit=$-3
Step-by-step explanation:
1 tail=-5
1 head=3
3/2=1.5
1.5*3=4.5
1.5*-5=-7.5
4.5-7.5=-3
$-3
hii
l have some dought
Answer:
I'm sorry what?
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.
What are the coordinates of the focus of the conic section shown below?
x^2+6x-4y+5=0
Answer:
The coordinates of the focus are [tex](-3,0)[/tex]
Step-by-step explanation:
The general equation for any conic section is [tex]Ax^2+Bxy+Cy^2+Dx+Ey+F=0[/tex] where [tex]A[/tex], [tex]B[/tex], [tex]C[/tex], [tex]D[/tex], [tex]E[/tex], and [tex]F[/tex] are constantsIf [tex]B^2-4AC<0[/tex], the conic section is either a circle or ellipseIf [tex]B^2-4AC=0[/tex], the conic section is a parabolaIf [tex]B^2-4AC>0[/tex], the conic section is a hyperbolaSince [tex]B^2-4AC=0^2-4(1)(0)=0[/tex], the conic section is a parabola.
The standard form equation for a parabola is [tex](x-h)^2=4p(y-k)[/tex]Vertex is [tex](h,k)[/tex]Focus is [tex](h,k+p)[/tex]Directrix is [tex]y=k-p[/tex]Vertical axis is at the line [tex]x=h[/tex][tex]p\neq 0[/tex]Convert general form into standard form by completing the square:
[tex]x^2+6x-4y+5=0[/tex]
[tex]x^2+6x+5=4y[/tex]
[tex]x^2+6x+9=4y+4[/tex]
[tex](x+3)^2=4(y+1)[/tex]
Now that the equation is in the form of [tex](x-h)^2=4p(y-k)[/tex], we can see that [tex]h=-3[/tex] and [tex]k=-1[/tex] which tells us that the vertex is at [tex](-3,-1)[/tex]. To determine the coordinates of the focus, we need to solve the equation [tex]4p=4[/tex] and plug the value of [tex]p=1[/tex] into [tex](h,k+p)[/tex] to get [tex](-3,-1+1)[/tex] which is [tex](-3,0)[/tex].
In conclusion, the coordinates of the focus for the conic section are [tex](-3,0)[/tex].
Un árbol proyecta una sombra de 24 pies al mismo tiempo que una vara de medir proyecta una sombra de 2 pies encuentre la altura del árbol
Which inequality matches the graph? A)x >4.B)x < 4.C)x = 4.D)x >_ 4 the line is at bottom of it for d
Answer: D
Step-by-step explanation: less than or equal to 4. graph leads to negative
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
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Step-by-step explanation:
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FREE-POINTS
Find x
x+3=5
Answer:2
Step-by-step explanation:
x+3=5
subtract 3 from both sides
x=5-3
x=2
Answer:
x= 2
Step-by-step explanation:
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]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