Answer:
4x + y = 6 is a function. The graph will cross the y-axis at point (0, 6) and crosses the x-axis at point (1.5, 0)
Step-by-step explanation:
Solve for y: 4x + y = 6
y = -4x + 6
Slope is -4 and the y-intersect is 6.
Now solve for x when y = 0. This action will give you the x-intersect.
4x + y = 6
4x + 0 = 6
4x = 6
x = 6/4 or 1.5
The graph will cross the y-axis at point (0, 6) and crosses the x-axis at point (1.5, 0)
Find (fog)(x) when f(x)=x^2-7x+12 and g(x)=3/x^2-16
Answer:
[tex]f( \frac{3}{ {x}^{2} - 16 } ) = ({\frac{3}{ {x}^{2} - 16 }})^{2} - 7(\frac{3}{ {x}^{2} - 16 }) + 12 \\ = \frac{9}{ {x}^{4} - 32 {x}^{2} + 256 } - \frac{21}{ {x}^{2} - 16} + 12[/tex]
Gannets start their dive at 30 meters above sea level. They plunge at a speed close to 100 km/hr, diving 21 meters below the sea level. What is the total distance of the Gannet’s dive from the start of the descent to the lowest point.e descent to the lowest point.
Step-by-step explanation:
30+21= 51 meters
I think this is the answer
The director of student life at a university wants to estimate the proportion of undergraduate students who regularly park a car on campus. Describe how to select a stratified random sample of approximately 100 students. Explain your choice of strata and why stratified random sampling might be preferred in this context.
Random sampling involves selecting a sample where each element of the sample have an equal probability of selection.
From the question, we understand that the director wants to make use of a stratified random sampling technique.
The stratified random sampling technique involves selecting the sample (i.e. 100 students), by dividing the whole undergraduate students into groups (i.e. strata), and then select a proportion from each group.
A possible way to achieve this, is as follows:
Divide the undergraduate students in faculties (assume the university has 10 faculties)Then select 10 students from each of the 10 faculties.With the above highlights, the director would be able to make the selection.
Read more about random sampling at:
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on adding to -7 to 0
on adding to -7 to 0
we get -7
provide an interpretation for V^-1(80)=
9514 1404 393
Answer:
the input that will cause function V to have an output of 80
Step-by-step explanation:
The interpretation of a function V(x) is ...
the output of function V that corresponds to the input x
__
The corresponding interpretation of the inverse function V^-1(x) is ...
the input to function V that will cause its output to be x
__
Then the meaning of V^-1(80) is ...
the input to function V that will cause its output to be 80
A plane flies at a speed 580 km/hr at a constant height of 16 km. How rapidly is the angle of elevation to the plane changing when the plane is directly above a point 125 km away from the observer?
Answer:
-0.584 rad/hr, rounded to the nearest 1000th
Step-by-step explanation:
Let D = D(t) = the horizontal distance from the observer to the plane at time t in units of km.
Let E = E(t) = the angle of elevation at time t in units of Radians.
Then, by geometry,
tan(E) = 16 / D, and furthermore, we have that
tan(E) = 16 * D^(-1)
d/dt (tan(E)) = d/dt ( 16 * D^(-1))
sec^2 (E) * dE/dt = 16(-1)(D^(-2)) * dD/dt
( sqrt(D^2 + 16^2) / D )^2 * dE/dt = -16 (D^(-2)) * dD/dt
(D^2 + 16^2)/D^2 * dE/dt = -16 (D^(-2)) * dD/dt
dE/dt = -16 (D^(-2)) * dD/dt * D^2 / (D^2 + 16^2)
dE/dt = -16 (dD/dt) / (D^2 + 16^2)
dE/dt = -16 (580 km/hr) / (125^2 + 16^2), at time t such that D(t) = 125 km,
dE/dt = (-9280 / 15881) rad/hr
dE/dt = -0.584 rad/hr, rounded to the nearest 1000th
Mr. Cash bought d dollars worth of stock. During the first year, the value of the stock tripled. The next year, the value of the stock decreased by $1200. (a) Write an expression in terms of d to represent the value of the stock after two years. (b) If an initial investment is $1,000, determine its value at the end of 2 years.
Answer:
1. 3D-1200 = value after two years.
2. $1800 = value after two years
Step-by-step explanation:
When the value of D triples, 3 times D = 3D. value of the stock after two years decreased, would be the -1200.
When you get the value of 1,000 you can plug it in to get 3 (1000) - 1200 = Stock price after two years
Graph the line passing through the given point and having the given slope (0,3), m=4
Hint :-
To find out the equation of the line we can use the point slope form of the line which is [tex] y - y_1 = m(x-x_1) [/tex]Solution :-
The given point to us is , [tex](0,3)[/tex] and the slope of the line is 4 . On using the point slope form , we have ,
[tex]\implies y - y_1= m(x-x_1) \\\\\implies y-3 = 4(x-0) \\\\\implies y -3 = 4x \\\\\implies \boxed{ 4x - y + 3 =0}[/tex]
Hence the equation is 4x - y + 3 = 0
( for graph , see attachment ) .
Write the DECIMAL and FRACTION for ALL THE SHADED SQUARES
Answer:
56/100=0.56
Step-by-step explanation:
Total box=100
shaded=56
Write 245.499 in word form.
Hey there!
• ORIGINAL FORMATION
245.499
• EXPANDED FORMATION
= 200 + 40 + 05 + 0.4 + 0.09 + 0.009
= 245.499
• EXPANDED EXPONENTIAL FORMATION
= 2 * 100 + 4 * 10 + 5 * 1 + 4 * 0.1 + 9 * 0.01 + 9 * 0.009
• WORD FORMATION
= “ two hundred forty-five and four hundred ninety-nine thousandths”
Therefore, your answer is:
“two hundred forty-five and four hundred ninety-nine thousandths“
Random fact: if you have decimal in a(n) equation, you’ll have to add “-th” at the end of the word when you’re turning/converting it to the word form of it. Decimals are BELOW 0 and they are LESS 1.
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Solve for x in the equation 3 x squared minus 18 x + 5 = 47.
x = 3 plus-or-minus StartRoot 23 EndRoot
x = 3 plus-or-minus StartRoot 51 EndRoot
x = 3 plus-or-minus StartRoot 41 EndRoot
x = 3 plus-or-minus StartRoot 5 EndRoot
Answer:
first option
Step-by-step explanation:
3x² - 18x + 5 = 47 ( subtract 5 from both sides )
3x² - 18x = 42 ( divide through by 3 )
x² - 6x = 14
Using the method of completing the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 3)x + 9 = 14 + 9
(x - 3)² = 23 ( take square root of both sides )
x - 3 = ± [tex]\sqrt{23}[/tex] ( add 3 to both sides )
x = 3 ± [tex]\sqrt{23}[/tex]
Answer:
a
Step-by-step explanation:
The table above:
on
Eduardo bought two heads of cabbage for
$1.80. How many heads can Maria buy if
she has $25.20?
Answer:
28
Step-by-step explanation:
two heads of cabbage is 1.80
1.80/2 = 0.90 per cabbage
25.20/.90 = 28
Maria can buy 28 heads of cabbage.
Answer:
maria can buy 28 cabbages
Step-by-step explanation:
$180×2=90
and
90×28 = 2,520
find out the value of X, if√x=9
If √x=9 then the value of x is 81.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is √x=9
Square root of x is equal to nine.
We need to find the value of x.
√x=9
Apply square on both sides
(√x)²=9²
The root and square will be cancelled on the left side
x=9²
Nine to the power of 2 is eighty one
x=81
Hence, the value of x is 81 when √x=9
To learn more on Equation:
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Solve for the portion. Round to hundredths when necessary.
What number is 0.4% of 500?
Answer:
2
Step-by-step explanation:
0.4%×500=2
Hope it helps!!!
The temperature at 8:20 P.M. is 3degreesC. If it has dropped 1degreesC per minute, what was the temperature at 7 : 50 P.M.?
Answer:
33°C
Step-by-step explanation:
The time between 8:20 and 7:50 is 30 minutes. If it drops 1°C per minute you multiply this number by the amount of minutes which would be 30. This becomes 30°C. Then add the 3° it's at now to become 33°C.
PLS HELP WILL MARK BRAINLIEST
Answer:
1. Given
2. Given
3. Definition of perpendicular lines
4. Definition of midpoint
5. Reflexive property
6. SAS
Step-by-step explanation:
It's correct
Amelia needs to buy some dog food. At the nearest store, 5 bags of dog food cost $11.25. How much
would Amelia spend on 3 bags of dog food?
Amelia would spend $on 3 bags of dog food.
Answer:
$6.75
Step-by-step explanation:
find the cost of each individual bag
11.25 ÷ 5 = 2.25
multiply that by the amount of bags needed
2.25 × 3 = 6.75
8x−5y=−11 solve for y and x intercept
Need help with 5 and 6
Answer:
I dunno I dunno I dunno why cause it's all fake love
HELP PLS ILL GIVE BRAINLIEST IF ITS A FAKE ANSWER ILL REPORT
Answer:
Step-by-step explanation:
yes
yes
no
no
Evaluate each function for the given input values. For f (x)=x 2- 5, find f (x) when x= 0 and when x= 3
Answer:
f(x) = x² - 5
so f(0) = 0² - 5 = 0 - 5 = - 5
and f(3) = 3² - 5 = 9 - 5 = 4
36 is what percent less than 60?
Answer:3540
Step-by-step explanation:
36 percent is-3600%
3600-60=3540
Answer:
Step-by-step explanation:
ham sandwich 22
Round 0.8\0.6 to the nearest hundredth
Answer:
0.8/0.6=1.33333 and to the nearest hundredth is 1.33
A rectangular swimming pool has length (x + 4) meters and width (x - 2) meters. The area of the
pool is 72 square meters. The length of the pool is ----- meters.
12
4.
8
16
Answer:
The length if the pool is 12
Step-by-step explanation:
Formula: A=lw or lw=A
> (x+4)(x-2)=72
> (x²-2x+4x-8)=72
> x²+2x-8=72
> x²+2x-8-72=0
> x²+2x-80=0
Factor
> x²+10x-8x-80
> x(x+10)-8(x+10)
>(x+10)(x-8)
Check:
(x-4); (x-2); x=8
(8+4)=12 Length
(8-2)=6 Width
10,858-150p = 9,650-110p
Answer:
9650-110p
Step-by-step explanation:
Will give brainliest answer
Answer: Sin(©)=4/5
Step-by-step explanation: Cos(©)=3/5
Sin(©)=?
By Trigonometric identity,
Sin²(©) + Cos²(©) = 1
Sin²(©) = 1- Cos²(©)
Cos²(©) = (3/5)² = 9/25
Sin²(©) = 1- 9/25 = 16/25
Taking the root of both sides,
√(Sin²(©)) = √(16/25)
Hence, Sin(©) = 4/5
Hope it helps!
Kathy had $10 and gave half of it to her brother. She then gave a third of the remaining
amount to a friend. How much money will Kathy have left?
Kelly has $10
- half: $10 - 1/2 x $10
$10 - $5 = $5
- one third: $5 - 1/3 x $5
$5 - $1.6667... or $5 - $1 and 2/3 = $3.33... or $3 and 1/3 or $10/3
She will have left $3.33 left, or $3 and 1/3
Point A has coordinates (-5, 3). If point (1,6) is
of the way from A to B what are the coordinates of point B?
Answer:
[tex](3, 7)[/tex]
Step-by-step explanation:
(4/3)P -(4/3)A + A = B . . . . . . add A
(4P -A)/3 = B . . . . . . . . . . . . . simplify
Then the coordinates of point B are ...
B = (4(1, 6) -(-5, 3))/3 = (9, 21)/3
B = (3, 7)
Write an equation of a line that is parallel to the graph of 2x-y=-1
Answer:
that contains the point (−4,4).
Step-by-step explanation:
d ko alam ko yn pero i think.