Step-by-step explanation:
204+272/14=34 years old
7. Sketch the graph of f(x) = 2(x - 1.5)2 + 3, then state the domain and range of the function (show all your
work). (4 points)
8. Determine the value of a given that (7, 6) satisfies the quadratic function f(x) = a(x – 5)2 +6. (Show all your
work). (2 points)
9514 1404 393
Answer:
7. D: (-∞, ∞); R: [3, ∞); see attached for a graph (red)
8. a=0; see attached for a graph
Step-by-step explanation:
7. The function is a polynomial, so its domain is all real numbers.
The parabola opens upward. It has a minimum value of 3. The range is y ≥ 3.
__
8. Putting the given point coordinates in the equation, we can solve for a.
f(7) = 6
6 = a(7 -5)² +6
0 = a(2²)
0 = a
The value of a is zero.
(The given point has the same y-value as the vertex, but is not the vertex. The function can only go through that point if it is a horizontal line (not a parabola).) The attachment shows a graph.
What is 12 1/2 - 7 6/7?
Answer:
4 9/14
Step-by-step explanation:
Answer:
The answer is 4 9/14
The farm raises some rabbits and native chickens. The number of native chickens is six times the number of rabbits, with a total of 560 feet. farm
Raised ? rabbit.
The farm raises some rabbits and native chickens. The number of native chickens is six times the number of rabbits, with a total of 560 feet. farm
Raised ? rabbit.
a line has a slope of -3 and a y-intercept of 5. write the equation of the line in slope-intercept form and explain how you would use the slope and y-intercept to graph the equation?
Answer:
y = -3x + 5
Step-by-step explanation:
Since the y-intercept occurs at the point (0,5), you can use that and the point slope equation to find the equation.
This looks like y - 5 = -3 (x - 0);
Solving for y, you get y = -3x + 5;
To graph this equation you would put one point at (0,5), then use the slope to count down three and to the left one to find other points, or you could just plug in numbers for x to find their corresponding y values and plot it like that.
Hopefully this helps- let me know if you have any questions!
does anyone know the answer to this? 5x-(4+3x)
Answer:
2x-4
Step-by-step explanation:
5x-(4+3x)
5x-4-3x
5x-3x-4
2x-4
Flying against the wind, an alrplane travels 4700 kilometers in 5 hours. Flying with the wind, the same plane travels 9520 kilometers in 7 hours. What is the rate of the plane in still air and what is the rate of the wind?
Answer:
i think this
Step-by-step explanation:
Let Va = the velocity of the airplane
Let Vw = the velocity of the wind
When flying with the wind:
(Va+Vw)*(4 hours) = 4000
4Va + 4Vw = 4000
4Vw = 4000 - 4Va
Vw = 1000 - Va
When flying against the wind:
(Va-Vw)*(7 hours) = 4200 km
7Va - 7Vw = 4200
Substitute 1000-Va for Vw and solve for Va:
7Va - 7(1000-Va) = 4200
7Va -7000 + 7Va = 4200
14Va = 11200
Va = 800 km/hr
Rate of wind:
Vw = 1000 - Va = 1000 - 800 = 200 km/hour
Solve for m. Write your answer as an inequality expression using the correct symbol.
m + 7 ≥ 20
PLZ help
Answer: m ≥ 13
m + 7 ≥ 20
Step-by-step explanation:
you basically subract 7 from 20 and 7
7-7 will cancel each other out 20-7 will give you = 13
m ≥ 13 is your answer
Please helppp, worth 35!!!
Answer:
9.42
Step-by-step explanation:
Hey There!
The first step of this problem is to find the formula for arc length
[tex]arc-length=2\pi r(\frac{0}{360} )[/tex]
r=raduis
0 = angle
now we just plug in the values
[tex]arc-length=2\pi 10\frac{54}{360} \\2\pi =6.283185307\\6.283185307x10=62.83185307\\62.83185307\frac{54}{360}=9.424777961[/tex]
so the arc length equals 9.424777961
the last step is to round to the nearest hundreth
so your final answer is 9.42
H=17+x/6 solve for H step for step
Answer: h -18 =14
Step-by-step explanation:
You need to plug in -18 into the equation. So h(-18)=17+(-18)/6
h(-18)=17-3
h(-18)=14
The political opinion organization hired 100 new employees, which increases its staff by 40%. What was the original number of employees?
Answer:
40(?)
I don't remember exactly if that's correct, but I hope it's right! Comment if you want the explanation
Will mark Brainliest! What is the value of P. Thank you!
Answer:
question of number 10 is 3
Determine the equation of the graph in its final position if the graph of y = 2X
is translated 2 units to the right and then 7 units upward.
1) y = 2x+7+ 2
2) y = 2X-2 + 7
3) y = 2X+2+7
O4) y = 2x-7, + 2
Answer:1
Step-by-step explanation:
please find the value of a
Answer:
I cant lp because
i'm on the school computer so sorry. <:(
so I cant see your Step-by-step explanation:
21.8% all registered doctors are female if there were 51800 female doctors what is the total doctors that registered
Answer:
Step-by-step explanation:
21.8% of x = 51,800
0.218x =51,800
x= 51,800/0.218 = 237,615
In a lab experiment, 130 bacteria are placed in a petri dish. The conditions are such
that the number of bacteria is able to double every 8 hours. How many bacteria
would there be after 21 hours, to the nearest whole number?
Answer:
y = 802
Step-by-step explanation:
I got 49 will someone double check me please?!
Answer:
m<YVX = 49°
Step-by-step explanation:
Given:
m<YVZ = 52°
m<ZVW = 36°
m<XVU = 43°
m<YVX + m<YVZ + m<ZVW + m<XVU = 180° (angles in a straight line)
m<YVX + 52 + 36 + 43 = 180 (substitution)
m<YVX + 131 = 180
m<YVX = 180 - 131
m<YVX = 49°
True or false. Explain.
The volumes of a rectangular-based pyramid and a triangular-based pyramid with congruent heights and equal base areas are equal
Answer:
true
Step-by-step explanation:
Which property justifies the statement below?
a(2b+c)=a(c+2b)
a. commutative property of addition
b. commutative property of multiplication
c. associative property of addition
d. distributive property
Answer:
d. distributive property
Step-by-step explanation:
Please help me answer this
9514 1404 393
Answer:
a) zeros: -2/3, 6
b) x < -2/3, signs: -, -; sign of product: +
-2/3 < x < 6, signs: +, -; sign of product: -
x > 6, signs: + +; sign of product: +
c) solution: x < -2/3 ∪ x > 6
Step-by-step explanation:
a) The zeros of the product are the values of x that make either factor zero. (A product is only zero if one of the factors is zero.)
3x +2 = 0 ⇒ x = -2/3
x -6 = 0 ⇒ x = 6
The zeros of the quadratic are x = -2/3 and x = 6.
__
b) For values of x left of the left-most zero, both factors are negative. For values of x between the zeros, the left factor is positive and the right factor is negative. For values of x greater than the right-most zero, both factors are positive. That is, for large negative values of x, all factors are negative. Working left-to-right, each time a zero is crossed, one factor changes sign.
__
c) The solution is where the signs of the factors match:
x < -2/3 or -6 < x
A sphere has a volume of 36(pi) in^3. What is the surface area in terms of Pi
Answer:
la verdad que depende de la situación
help please i’ll give extra points & brainlist:)!
Show that n(n – 1)(n + 1) + 6n ≡ n3 + 5n
help me on math pls plss I'm stuck agian:(((((
Answer:
the answer to a is 25, im unsure what B is.
Step-by-step explanation:
hope this helps!!!
Peggy took a timed 30
question test. She answered
60% of the questions and
skipped the rest. How many
did she answer?
Answer: 18 questions
Step-by-step explanation:
First we want to make 60% a decimal so we divide by 100.
This gives us 0.6
Then we multiply 30*0.6=18
18 questions
Kevin correctly answered 75% of 32 test questions. How many questions did Kevin answer correctly? How many more questions would Kevin have had to answer correctly to get more than 80% correct?
Answer:
At least 26 questions to get around an 82% not 25 because that equals 78%
Step-by-step explanation:
Answer:
Kevin answered 24 questions correctly.
Kevin would have to answer 25.6 questions correctly to get more than 80%.
PLS HELP
i said 45 but it was marked incorrect, im super confused
Answer:
60
Step-by-step explanation:
trangles always equal 180 degrees on the inside angles
180-75-45 = 60
Question 60/62 (3.p.)
KAH
ht
w
2011
Solve and choose the correct answer.
A water tank is in the form of a cylinder whose radiusis 2 m and length is
3.5 m. The quantity of water in litres that can be stored in the tank is
..
Answer:
Capacity of tank = 44,000 l
Step-by-step explanation:
Given:
Height of tank = 3.5 m
Radius = 2 m
Find:
Capacity of tank
Computation:
Volume of cylinder = πr²h
Volume of cylinder = (22/7)(2)²(3.5)
Volume of cylinder = 44 m³
1m³ = 1000 l
So,
Capacity of tank = 44 x 1,000
Capacity of tank = 44,000 l
The formula for the volume of a cone is V = 1/3 πr^2 h. Which part of the formula represents the area of the base?
WILL MARK BRANL:IEST NO FAKE ANSWERS I NEED ASAP
Answer:
(-5, 9)
Step-by-step explanation:
Plz help ASAP 20 Points Determine the equation of circle A.
(x - 1)2 + (y + 2)2 = 9
(x + 1)2 + (y-2)2 = 9
(x-1)2 + (y + 2)2 = 3
(x + 1)2 + (y-2) = 3
Answer:
the answer is c
Step-by-step explanation:
your equation is to solve the circle so A could not be the answer B/c it can't be 9.the answer is c or d. But d can't give you 3 if you solve it. so the answer is C