Answers
Answer:
The vertical intercepts is
(4/3,0) (3,0) (1,0)
The horinzontial intercepts is
(0,72)
Step-by-step explanation:
The vertical or y intercepts will be zeroes of the following factors.
3x+4=0
x-1=0
(x-3)^2=0
We solve for x each time
x=-4/3
x=1
x=3
Part B). We need to find the intercepts by setting the equation equal to zero.
The constant expanded will equal 72.
If x=0,
0y=0
where y is any real number.
So this means all the exponets will equal 0. The constant will just add to the term. so our horinzontal intercept is
Related Questions
. Solve the rational equation x+6 / 3 − x+8 / 5 = 0.
Answers
Answer:
x= -3
Step-by-step explanation:
[tex] \frac{x + 6}{3} - \frac{x + 8}{5} = 0[/tex]
Multiply both sides by 15 (LCM of 3 and 5):
[tex] \frac{15(x + 6)}{3} - \frac{15(x + 8)}{5} = 0[/tex]
5(x +6) -3(x +8)= 0
Expand:
5x +30 -3x -24= 0
2x +6= 0
-6 on both sides:
2x= -6
x= -6 ÷2
x= -3
Please help solve for a in the equation in the photo
Answers
[tex]\huge\bf Question:—[/tex]
[tex] \sf \longmapsto \: g=a(4− {d}^{2} )[/tex]
[tex]\huge\bf Solution:—[/tex]
[tex] \underline{\bf \: Flip \: the \: equation:—}[/tex]
[tex] \sf \longmapsto \: −a {d}^{2} +4a=g[/tex]
[tex] \underline{\bf \: Factor \: out \: variable \: (a):—}[/tex]
[tex] \sf \longmapsto \: a(− {d}^{2} +4)=g[/tex]
[tex]\underline{ \bf \: Divide \: both \: sides \: by -d^2+4 :—} [/tex]
[tex]\sf \longmapsto \: \dfrac{a( - {d}^{2} + 4) }{ { - d ^2+ 4}^{} } = \dfrac{g}{{ - d ^2+ 4}^{}} [/tex]
[tex]\sf \longmapsto \:1 a = \dfrac{g}{{ - d^2 + 4}^{}} [/tex]
[tex]\underline{\bf Answer:—}[/tex]
[tex]\boxed{ \bf \: a = \dfrac{g}{ - d^2 + {4}^{} } }[/tex]
Answer:
[tex]\boxed{\boxed{\sf a=\cfrac{G}{4-d^2} }}[/tex]
Step-by-step explanation:
[tex]\sf G=a(4-d^2)[/tex]
Use the Distributive Property to multiply a by (4-d^2):
[tex]\sf G=4a-ad^2[/tex]
Now, we'll swap sides so that all variable terms are on the left hand side.
[tex]\sf 4a-ad^2=G[/tex]
Combine like terms:
[tex]\sf (4-d^2)\:a =G[/tex]
Divide both sides by 4-d^2:
[tex]\sf \cfrac{(4-d^2)a}{4-d^2} =\cfrac{G}{4-d^2}[/tex]
Dividing by 4-d^2 undoes the multiplication by 4-d^2.
[tex]\sf a=\cfrac{G}{4-d^2}[/tex]
_______________________________________
0.03249 in standard form to 3 significant figures is
(A) 3.24 × 10−1
(B) 3.24 × 10−2
(C) 3.25 × 10−2
(D) 3.25 × 10−3
Answers
f(x)=x^2-12x+20
a. f(0) = ?
b. f(2) = ?
c. f(x) = 0,x = ?
d. f(x)= 9,x = ?
Answers
Answer:
c . f(x)=0,x=????????????
Jason stands in the corner of a very large field. He walks, on a bearing of 030°,
a distance of d metres. Jason then changes direction and walks twice as far on a new
bearing of 120°. At the end of the walk Jason calculates both the distance he must
walk and the bearing required to return to his original position. Given that the total
distance walked is 120 metres, what answers will Jason get if he is correct?
Answers
Answer:
Step-by-step explanation:
d + 2d = 120
3d = 120
d = 40 m
east distance was 40cos30 + 80cos120 = -5.35898 m
north distance was 40sin30 + 80sin120 = 89.282032
as 30° and 120° bearings are 90° apart, Jason needs to walk
D = √(d² + (2d)²) = d√5 or 40√5 meters or about 89.44 m to return to his original position.
we could also use √(-5.35898² + 89.282032²) = 89.44 m
direction will be
θ = arctan -89.28/5.359 = -86.565° or a bearing of 273.4°
joey’s town voted on a new speed limit . 40 % of the 25 votes were in favor of the new speed limit . How many votes were in favor ?
Answers
Step-by-step explanation:
I don't know the answer really
Marisol has 5 times as many books as jerry. Jerry has 15 books. How many more books does marisol have
Answers
Answer:
5 times more books
Step-by-step explanation:
In total Marisol has 75 books. She has 5 times as many books and Jerry has 15. 5*15=75
Which statement is true about point Y?
Point Y is the center of the circle that passes through points D, F, and N.
Point Y is the center of the circle that passes through points M, N, and E.
Point Y is the center of the circle that passes through points L, M, and N.
Point Y is the center of the circle that passes through points D, E, and F.
Answers
Answer:
D, E and F
Step-by-step explanation:
Beause y is a point. It is a prime example physics.
What is equivalent to 56 − 7 + ( 26 − 4 ) ÷ 2
Answers
Answer:
60
Step-by-step explanation:
56-7+22÷2
56-7+11
67-7=60
hope it helps thanks
Answer each part. If necessary, round your answers to the nearest hundredth. (a) A color printer prints 9 pages in 3 minutes. How many pages does it print per minute? | pages per minute (b) At Hoffman's Bike Rentals, it costs $37 to rent a bike for 7 hours. How many hours of bike use does a customer get per dollar? hours per dollar
Answers
Answer:
Q1: 3 pages per minute
Step-by-step explanation:
time = 3 minutes
pages = 9 pages
answer = 9 divided by 3 = 3
Answer:
3 pages per minute
1 hour per $5.29
Step-by-step explanation:
9÷3= 3
37÷7= 5.29
can someone please tell me whether the answer is a, or b? or if it’s none of those. ty :)
Answers
The length of the opposite side of a right triangle is 2cm longer than the length of the adjacent side. The hypotenuse is 4cm longer than the adjacent side. Use a quadratic equation to determine the perimeter of the triangle.
PLEASE HELP
Answers
Answer:
Step-by-step explanation:
Let x be the adjacent side length in cm
opposite side is x + 2 cm
hypotenuse is x + 4 cm
x² + (x + 2)² = (x + 4)²
x² + (x² + 4x + 4) = (x² + 8x + 16)
x² - 4x - 12 = 0
(x - 6)(x + 2) = 0
so either
x - 6 = 0 x = 6
or
x + 2 = 0 x = -2
positive answer is x = 6 as negative length does not make sense
opposite side is 6 + 2 = 8
hypotenuse is 6 + 4 = 10
perimeter is 6 + 8 + 10 = 24 cm
Judith is getting older and feels like she should donate her collection of stuffed animals to children who are less fortunate. She has 16 stuffed cats and 8 stuffed dogs, which she wants to divide into identical groups, with no stuffed animals left over. What is the greatest number of groups Judith can place her stuffed animals into?
Answers
Answer:iojoenckcnurmum
Step-by-step explanation:
PLZ HURRY IT'S URGENT!!!
What is the value of x? Leave answer in **simplest radical form.***
options:
4
4√3
8
8√3
Answers
y=(x^4)-(6^3)+(50x^2)+122x=65
find the zeros
Answers
The area of the rectangular roof on a dollhouse is 756 square inches. The length of the roof is 108 inches. How many inches wide is the roof?
Answers
Answer:
7 inches
Step-by-step explanation:
756÷108=7
that's about it, but I just divided the area and length.
Stuck on this, need help on this.
Answers
Answer:
Domain: (-∞ , ∞)
Range: y <= 8 [8 , -∞)
Step-by-step explanation:
x = 2
f(x) = 8
x<=2
f(x) <=8
[tex]\sf 3x+6y=12[/tex]
Answers
Answer:
[tex]3x + 6y = 12[/tex]
[tex]3x + 6y - 6y = 12 - 6y[/tex]
[tex]3x = 12 - 6y[/tex]
[tex] \frac{3x}{3} = \frac{12}{3} - \frac{6y}{3} [/tex]
[tex] \frac{3x}{3} = 1 = x[/tex]
[tex] \frac{12}{3} - \frac{6y}{3} [/tex]
[tex] = \frac{12 - 6y}{3} [/tex]
[tex] = \frac{6(2 - y)}{3} [/tex]
[tex] \frac{6}{3} = 2[/tex]
[tex] = 2( - y + 2)[/tex]
[tex]x = 2( - y + 2)[/tex]
Answer:
x=2(3-y)
Step-by-step explanation:
3x+6y=12
x+2y=4
x=4-2y
=2(2-y)
If 18 is subtracted from twice the square of an integer, the result is equal to nine times the integer. What is the value of the integer?
Answers
Answer:
6 or -1.5
Step-by-step explanation:
We can let this integer be x.
Therefore, according to the question we have:
[tex]2x^2-18=9x[/tex]
Subtracting 9x, we have a quadratic:
[tex]2x^2-9x-18=0[/tex]
Plugging into the quadratic equation:
[tex]\frac{9+\sqrt{81+144}}{4}, \frac{9-\sqrt{81+144}}{4},[/tex]
the square root of 81+144 is 15, so the answer is either 6 or -1.5
the sum of three terms in a GP is 14 and the sum of their squares is 84, find the terms
Answers
Answer:
The terms are 2, 4, and 8
Step-by-step explanation:
a+b+c=14
a^2+b^2+c^2=84
Plug in numbers.
3+6+5=14
3^2+6^2+5^2=70
This is too little, meaning the some of the terms have to be larger.
1+7+6=14
1^2+7^2+6^2=86
This is too much, meaning smaller terms are needed.
2+8+4=14
2^2+8^2+4^2=84
This is perfect.
b) How fast should a boy of 40kg mass run so that the kinetic energy becomes 800J?
Answers
Answer:
v = 6.32 m/s
Step-by-step explanation:
Given Data:
Mass = m = 40 kg
Kinetic Energy = KE = 800 J
Required:
Speed = v = ?
Formula:
[tex]\displaystyle KE = \frac{1}{2} mv^2[/tex]
Solution:
Rearrange the formula for speed
[tex]\displaystyle v =\sqrt{\frac{2KE}{m} } \\\\Put \ values\\\\v = \sqrt{\frac{2(800)}{40} } \\\\v = \sqrt{2(20) } \\\\v = \sqrt{40} \\\\\boxed{v = 6.32 \ m/s}\\\\\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807How do u solve this?
Answers
Answer:
first you need a problem to solve.
Step-by-step explanation:
what is the question here?
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Use the quadratic formula to solve the equation.
X^2 - 7x – 6 = 0
Answers
Step-by-step explanation:
[tex]x = \frac{ - b + - \sqrt{ {b}^{2} - 4ac} }{2a} [/tex]
a=1.
b=-7
c=-6
x=
[tex] \frac{ - ( - 7) + \sqrt{ (- 7)^{2} - 4(1)( - 6)} }{2(1)} [/tex]
OR
[tex] \frac{ - ( - 7) - \sqrt{ (- 7) ^{2} - 4(1)( - 6)} }{2(1)} [/tex]
Therefore x= 7,772
OR
x=-0,772
To prepare for a wedding, Aiden bught 60 candles. He paid $0.37 for each candle. His sister bought 170 candles at a sale where she paid $0.05 less for each candle than Aiden did. How much did Aiden spend on candles, how much did his sister spend on candles, and who spent more on candles (how much more when you answer this question).
Answers
Answer:
Aiden spent $22.20. His sister spent $54.40. His sister spent $32.20 more than Aiden.
Step-by-step explanation:
Pls help!! What is the equation for the line in slope-intercept form
Answers
Answer:
y = -4x + 9
Step-by-step explanation:
using any two points, in this case (0, 5) and (3, -7) you can find slope by using this formula: [tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
plug in the x- and y- values of the two points above
[tex]m=\frac{-7-5}{3-0}=\frac{-12}{3}=-4[/tex]
y = -4x + b
use any point of the line and plug it into the equation above
5 = -4(0) + b
5 = -4 + b
5 + 4 = -4 + b +4
9 = b
the equation in full is y = -4x +9
In order to meet ADA (Americans with Disabilities Act) requirements, a wheelchair ramp must have an angle of elevation of no more than 4.8. . A builder needs to install a ramp to reach a door that is 2.5 feet off the ground.Is 20 feet long enough for the straight line distance of the ramp to meet the requirements? What angle of elevation will this ramp have?
Answers
Answer:
Yes, 35 feet is enough
The angle of elevation is 4.1º
CAN SOMEONE TELL ME IF I CLICKED THE RIGHT AWNSER PLEASE
Answers
Answer:
yes your absolutely right
Step-by-step explanation:
you just are
A television is advertised as having a 65-inch measurement. Brenan measures the width of the television while at the store and finds that it is 57 inches wide.
If the space where Brenan plans to hang the television is 32 inches high, will he have enough vertical space to hang the 65-inch television?
Answers
Answer: the answer would be C
Yes, the television is approximately 8 inches shorter than the space.
Step-by-step explanation: My name is Ebenezer Haile
I NEED HELP WITH PRECALC PLEASE
Answers
Answer: First question: D, Second question: A
Step-by-step explanation:
Note: I'm not so good at expanding so I'll just solve it :)
So this leaves either C or D
Apply the sum rule:
8-70=-62
The only one that gives a negative sum is D
For the second picture, the one you have chosen is correct
a1 = 3 and r = -5 so:
an = 3/5 * (-5)^n
Plugging in 8 for n (the first choice) we get the given term: -234,375
Answer:
(d) 2 +(-5) +(-12) +... (a) a8Step-by-step explanation:
1.Putting n = 0 and n = 1 into the expression being summed will show you which series is correct.
2 -7n for n=0 is 2 -7·0 = 2
2 -7n for n=1 is 2 -7·1 = -5
The series of the last choice (d) is correct.
__
2.The given sequence is exponential with a first term of 3 and a common ratio if -5. Then the n-th term is ...
an = 3(-5)^(n -1)
We want to find n for an = -234,375.
-234375 = 3(-5)^(n-1)
-78125 = (-5)^(n-1)
For n to be a real number, we must have n even. In that case, the value of n is equivalent to the value that is the solution to ...
78125 = 5^(n -1)
Taking logs of both sides, we get ...
log(78125) = (n -1)·log(5)
log(78125)/log(5) = n -1 . . . . . . . . . . . . divide by log(5)
n = 1 +log(78125)/log(5) = 1 +7 = 8 . . . add 1 and evaluate
-234,375 is the 8th term of the sequence.
Is it possible to have a bounded feasible region that does not optimize an objective function?
Answers
It is not possible to have a bounded feasible region that does not optimize an objective function.
What is the feasible region?The viable zone is the common area that the linear programming problem's constraints all dictate.
There is an optimum value of the objective function if the feasible region is bounded and the function attains its optimum values at the extremes of the feasible region.
Hence, it is not possible to have a bounded feasible region that does not optimize an objective function.
Learn more about the feasible region:
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