The graph of the polynomial function y = f(x) in the xy plane could be the first graph.
Given a polynomial function f.
Range of the polynomial function is the set of all the real numbers less than or equal to 4.
So y values are y ≤ 4
So the vertex of the function will be at y = 4 and other value are less than 4.
So parabola is downwards.
Two options are there with the parabola folded downwards.
Now the zeroes of f are at -3 and 1.
Zeroes of f are the values of x where the function touches the X axis.
Hence the correct graph is first one.
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Solve the quadratic equation
X^2+3x-70=0
Answer:
X can either be 7, or -10. You can prove this by plugging in the numbers yourself :)
Step-by-step explanation:
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Which of the following is most likely the next step in the series ?
hey there .. here is ur answer ..
Option D is the right answer as you can see ..
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What number is between 5/2 and the other number In the photo.
A tank contains 1000L of pure water. Brine that contains 0.02kg of salt per liter enters the tank at a rate of 5L/min. Also, brine that contains 0.07kg of salt per liter enters the tank at a rate of 10L/min. The solution is kept thoroughly mixed and drains from the tank at a rate of 15L/min. Answer the following questions.
a. How much salt is in the tank after t minutes?
b. How much salt is in the tank after 4 hours?
Answer:
51.877 kg
Step-by-step explanation:
a
See attachment for calculations
b
The amount of salt in the tank after 4 hours is gotten by simply replacing t in the equation from a, with 4 hours. Since the t gotten in a above is in minutes, we'd convert hours to minute as well. If we do that, we have
t = 4 hours = 4 * 60 minutes = 240 minutes
y = 160/3 (1 - e^((-3 * 240)/200))
y = 160/3 (1 - e^(-720/200))
y = 160/3 (1 - 0.0273)
y = 160/3 (0.9727)
y = 51.877 kg
Therefore, the amount of salt in the tank after 4 hours is 51.877 kg
When chords intersect in a circle, the vertical angles formed intercept congruent arcs.
Answer:
sometimes
Step-by-step explanation:
if those are the options you have then that's the correct answer
Let S be the set of all integers that are multiples of 6 and let T be the set of all even numbers
Answer:
S = ( 6, 12, 18, 24, 30, 36......)
T = ( 2, 4, 6, 8, 10, 12, 14, 16, 18......)
what is the answer to solve for n
Step-by-step explanation:
According to pythagoras theorem the square length of hypotenuse is equal to sum of other two sides
n^2 + 19^2 = 15^2
n^2 + 361 = 225 if we subtract 361 from both sides
n^2 = -136 but the root of square cannot be negative
I believe there's a mistake in this question so you should ask your teacher.
Find the value of x if you solve one please say the question number and you dony have to show work
Answer:
question 1-- x=15
question 2-- x=21
Find the value of x for which L parallel m (3x-33) (2x+26)
Answer:
59
Step-by-step explanation:
Find the diagram attached
From the diagram, we can see that both given angles are vertically opposite angles, hence they are equal
3x - 33 = 2x+26
3x-2x = 26 + 33
x = 59
Hence the value of x is 59
Question 6
Do set of numbers DO NOT form a Right Triangle?
9, 12, 15
5, 12, 13
3,4,5
4,5,6
Answer:
4,5,6
Step-by-step explanation:
square root of 4²+5²= approximately 6.4
Please help!!! (Look at picture)
Answer:
20,000 17000 17200.
Step-by-step explanation:
That's your answer.
Mrs. Fisk, the art teacher, has 5 pounds of clay. Each of her students need 1/4 pound to complete their current project. How many students can she supply with clay?
Answer:
20 students
Step-by-step explanation:
Nick, Sarah and Gavyn share some sweets in the ratio 2:3:3. Nick gets 28 sweets. How many did Gavyn get?
Answer:
42 sweets
Step-by-step explanation:
28 / 2 = 14 x 3 = 42
Hope that helps!
Subtract Write your answer in simplest form. 11/12 - 3/6
Answer:
5/12 cannot simplify more further
Step-by-step explanation:
11/12 - 6/12 = 5/12
Answer:
5/12
Step-by-step explanation:
hope this helps have a nice day
How many points are needed to determine a straight line?
A. only one point
B. at least two points
C. at least three points
D. more than three points
Answer:
b
Step-by-step explanation:I hope this helps
Select the correct answer.
Which function represents a function with zeros at -3,-1, 0, and 6?
A. y= (x-6)(x + 1)(x + 3)
B.y= x(x-3)(x - 1)(x + 6)
C. y= x(x-6)(x + 1)(x + 3)
D. y=(x-3)(x - 1)(x + 6)
Answer:
C
Step-by-step explanation:
The function is y=x(x-6)(x+3)(x+1). Therefore, option C is the correct answer.
Given that, a function with zeros at -3,-1, 0, and 6.
What are zeros of a function?The zero of a function is any replacement for the variable that will produce an answer of zero. Graphically, the real zero of a function is where the graph of the function crosses the x‐axis; that is, the real zero of a function is the x‐intercept(s) of the graph of the function.
Now, x=-3⇒x+3, x=-1⇒x+1, x=0 and x=6⇒x-6.
The function is y=x(x-6)(x+3)(x+1).
The function is y=x(x-6)(x+3)(x+1). Therefore, option C is the correct answer.
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What is the product of the rational expressions shown below ? Make sure your answer is in reduced form. Photo included . Multiple choice .
Answer:
( 1/x-5)*8x
(1*8x)/(x-5)
8x/x-5
use ⧍ABC and assume B = 90°.
2. Findcgiven m∠A=57° and a=22
Answer:
1
Step-by-step explanation:
Answer: c = 14.287 approximately
==========================================================
Work Shown:
Refer to the diagram below. Note how side a is opposite angle A, and side c is opposite angle C.
tan(angle) = opposite/adjacent
tan(A) = a/c
tan(57) = 22/c
c*tan(57) = 22
c = 22/tan(57)
c = 14.2869670503452
c = 14.287
This value is approximate. Make sure your calculator is in degree mode
Find the 12th term of the geometric sequence -2,4,-8..
Answer:
-16394
Step-by-step explanation:
Pattern rule : Start at -2 and multiply it by -2.
-2 x -2 = 4
4 x -2 = -8
-8 x -2 = 16
16 x -2 = -32
- 32 x -2 = 64...so on
What is 25% of 60? I need this answer right away
Answer:
15
Step-by-step explanation:
Answer:
2.4
Step-by-step explanation:
60÷25=2.4
Solve these word problems:
Answer:
45 cats prefer fish
Step-by-step explanation:
help me PLZ LUV YOU ALL
Answer:
1) AB = 10cm
2) 70 degrees
3) 12m
4) 10m
5) 32 degrees
6) 9 + 9 = 18m
Find the slope of tangent line at (1,-1.5)
Answer:
The slope of the tangent m = -0.0833
Step-by-step explanation:
Step(i):-
Given that the curve
x y - 2y² + x² = -5 ...(i)
Differentiating equation (i) with respective to 'x', we get
[tex]x(\frac{dy}{dx} )+y (1) -2(2y)\frac{dy}{dx} + 2x=0[/tex]
[tex]x(\frac{dy}{dx} ) -2(2y)\frac{dy}{dx} = -2x-y[/tex]
[tex](x -4y)\frac{dy}{dx} = -2x-y[/tex]
[tex]\frac{dy}{dx} = \frac{-2x-y}{x-4y}[/tex]
Step(ii):-
The slope of the tangent
[tex](\frac{dy}{dx})_{1,-1.5} = \frac{-2x-y}{x-4y}[/tex]
[tex](\frac{dy}{dx})_{1,-1.5} = \frac{-2(1)-(-1.5)}{1-4(-1.5)}[/tex]
m = [tex]\frac{-2+1.5}{1+6}[/tex]
[tex]m = \frac{-0.5}{6} = -0.083[/tex]
The slope of the tangent m = -0.0833
Are there any supplementary, vertical, or complimentary angles? If so wich ones
Supplementary: 1 and 2 & 3 and 4
Supplementary angles: A pair of angles whose sum is equal to 180°.
Vertical: 1 and 3 & 2 and 4
Vertical angles: A pair of opposite angles that are made by two intersecting lines.
Complimentary:
Complimentary angles: A pair of angles whose sum is equal to 90°.
Hope this helps! :D
solve the equation x + 20.7 = 9.5 for x
i need this asap thanks
Please help im so confused
Answer:
1/3
Step-by-step explanation:
There are 9 total outcomes, and 3 are favorable, or are two of the same color in a row. 3/9 simplifies to 1/3. Hope this helps!
A girl is 6 years younger than her brother. The
product of their ages is 135. Find their ages.
=============================================================
Work Shown:
x = brother's age, which is some positive whole number
x-6 = sister's age, since she is 6 years younger than her brother
The product is the result of multiplication, so we multiply x and (x-6) to get 135
x*(x-6) = 135
x^2-6x = 135
x^2-6x-135 = 0
Use the quadratic formula to solve from here
We plug in a = 1, b = -6, c = -135
[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(-6)\pm\sqrt{(-6)^2-4(1)(-135)}}{2(1)}\\\\x = \frac{6\pm\sqrt{576}}{2}\\\\x = \frac{6\pm24}{2}\\\\x = \frac{6+24}{2}\ \text{ or } \ x = \frac{6-24}{2}\\\\x = \frac{30}{2}\ \text{ or } \ x = \frac{-18}{2}\\\\x = 15\ \text{ or } \ x = -9\\\\[/tex]
x represents the brother's age, in years. So x must be positive.
Since x must be positive, this means we rule out x = -9
The value x = 15 is the only practical solution.
If x = 15, then x-6 = 15-6 = 9
The brother is 15 years old and the sister is 9 years old.
The product of their ages is 15*9 = 135, which confirms the answers.
Which expressions are equivalent? *
2 points
2+6x AND 2(3x+1)
3(x+1) - (1+x) AND 2x+3
3x AND 4(x+1) -1x - 4
5.5 + 2.1x + 3.8x - 4.1 AND 1.4 + 5.9x
Submit
someone help me plsssssss
Answer:
i believe b if not b im sorry
Step-by-step explanation:
cuanto es : ✓5⁴ ÷ ✓5⁰
Answer:
es esto correcto? 25?
Step-by-step explanation: