The graph of the polynomial function is (x+4) (x-2) ²
Polynomial function: what is it?In an equation such as the quadratic equation, cubic equation, etc., a polynomial function is a function that only uses non-negative integer powers or only positive integer exponents of a variable. For instance, the polynomial 2x+5 has an exponent of 1.
Sums of terms of the form kxn, where k is any number and n is a positive integer, make up polynomials. For instance, the polynomial 3x+2x-5. a description of polynomials.
AROUND THE GIVEN PARABOLA,
WE HAVE A POLYNOMIAL FUNCTION;
f(x)=(x+4)(x-2)²
at x=0
the value of f(x)=16
at x=-2
the value of f(x)=32
hence for every value of f(x)=(x+4)(x-2)² is true .
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2 x - 3 < 6 x + 3
Pls help
Answer:
4x=0 x=0
Step-by-step explanation:
Can someone plz help me
Answer:
C
Step-by-step explanation:
It makes sense
Jamie paid the rent well past the due date for the months of April, May and June. As a result, he had been charged a total of $75 as a late fee. Howmuch did he pay as late fee per month?Use 'f to represent the late fee $$ per month.
Total fee = $75
Number of months = 3
Divide the total fee by the number of months
75/3 = $25 per month
Indigo went shopping for a new pair of sneakers. Sales tax where she lives is 3.75%. The price of the pair of sneakers is $20. Find the total price including tax. Round to the nearest cent.
Step-by-step explanation:
price=$20tax rate=$3.75multiply the price with rate and you will get tax the add it to the real pricetotal price incl. tax= 20+(20*3.75/100)=20.75there is your answer...The total price of sneakers including tax will be equal to $20.75.
What is the Percentage?The Latin phrase "per centum," which means "by the hundred," is where the English word "percentage" comes from. Percentage segments are those with a numerator of 100. In other words, it is a connection where the whole is always deemed to be valued 100.
As per the given information in the question,
Price of sneakers = $20
Tax on sneakers = 3.75%
Then, the amount of tax will be,
(20 × 3.75)/100
= 75/100
= $0.75
Then, the total price of the sneakers will be,
$20 + $0.75
= $20.75
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What is the domain of the function represented by this graph? the graph of a quadratic function y = x^2 – 4 with a minimum value at the point (0,-4) A. -2 ≤ x ≤ 2 B. x ≥ 4 C. x ≤ 0 D. all real numbers Reset
Domain of the function represented by the graph of a quadratic function y = \(x^2\) – 4 with a minimum value at the point (0,-4) is all real numbers.
The correct answer is option D.
To determine the domain of the quadratic function y = \(x^2\) - 4, we need to consider the x-values for which the function is defined. Since a quadratic function is defined for all real numbers, the domain of this function is "all real numbers."
Let's analyze the given function and its graph to understand why the domain is "all real numbers."
The function y = \(x^2\) - 4 represents a parabola that opens upward, which means it extends infinitely in both positive and negative x-directions. The vertex of the parabola is at the point (0, -4), indicating that the minimum value of the function occurs at x = 0.
Since there are no restrictions or limitations on the x-values for which the function is defined, the domain is unrestricted and encompasses all real numbers. In other words, the function can be evaluated and calculated for any real value of x, whether it is a negative number, zero, or a positive number.
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sketch the region y=sqrtx, y=0, x=4
Answer:
see attached for a sketch
area = 5 1/3 square units
Step-by-step explanation:
You want the area under the square root curve, above y=0, from x=0 to x=4.
AreaThe area is found by integrating a differential of area over appropriate limits. A vertical slice will have hight √x and width dx, so we have ...
dA = (√x)dx
A = ∫(√x)dx
The power rule can be used for the integration:
\(\displaystyle A=\int_0^4{x^{\frac{1}{2}}}\,dx=\left[\dfrac{x^{\frac{3}{2}}}{\frac{3}{2}}\right]^4_0=\dfrac{2}{3}(4^\frac{3}{2})=\dfrac{16}{3}=\boxed{5\dfrac{1}{3}}\)
The area of the region is 5 1/3 square units.
__
Additional comment
You will notice that the area is bounded by a rectangle 4 units wide and 2 units high, for an area of 4·2 = 8. The area under the parabolic curve is 2/3 of that: 2/3·8 = 16/3 = 5 1/3 square units.
This fraction will be true for any area bounded by a parabola where the vertex is one of the corners of the rectangle.
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Determine whether each of the following functions is even, odd, or neither even nor odd.
(a) f(x) = 1 + 3x 2 − x 4
(b) ????(????) = ???? ???? ????+�
Answer:
A.) Even.
Step-by-step explanation:
If a function is an even function, then
F(-x) = f(x)
Also, if a function is an odd function, then, f(-x) = -f(x)
You are given the below function
f(x) = 1 + 3x^2 − x^4
Let x = 2
Substitute 2 for x in the function
F(x) = 1 + 3(2)^2 - (2)^4
F(x) = 1 + 3(4) - 16
F(x) = 1 + 12 - 16
F(x) = -3
Also, Substitute -2 for x in the function
F(x) = 1 + 3(-2)^2 - (-2)^4
F(x) = 1 + 3(4) - 16
F(x) = 1 + 12 - 16
F(x) = -3
Since f(-x) = f(x), we can conclude that
F(x) = 1 + 3x^2 - x^4 is even
Let the measure of Arc B C D = a°. Because Arc B C D and Arc B A D form a circle, and a circle measures 360°, the measure of Arc B A D is 360 – a°. Because of the ________ theorem, m∠A = StartFraction a Over 2 EndFraction degrees and m∠C = StartFraction 360 minus a Over 2 EndFraction degrees. The sum of the measures of angles A and C is (StartFraction a Over 2 EndFraction) + StartFraction 360 minus a Over 2 EndFraction degrees, which is equal to StartFraction 360 degrees Over 2 EndFraction, or 180°. Therefore, angles A and C are supplementary because their measures add up to 180°. Angles B and D are supplementary because the sum of the measures of the angles in a quadrilateral is 360°. m∠A + m∠C + m∠B + m∠D = 360°, and using substitution, 180° + m∠B + m∠D = 360°, so m∠B + m∠D = 180°.
What is the missing information in the paragraph proof?
Answer:
A. Inscribed Angle
Step-by-step explanation:
Because the angles are inscribed in the circle, the angle lie on arcs which mean that the angles have to add up to 360 degrees just like a circle is 360 degrees, making it a quadrilateral that is inscribed!
The missing information in the paragraph proof should be considered as the Inscribed Angle.
What is Inscribed Angle?In terms of geometry, an inscribed angle should be the angle that should be created in the interior of a circle at the time when two chords intersect on the circle. Since the angles should be inscribed in the circle so here the angles should be added up to the 360 degrees same as like the circle also at the same time it should make the quadrilateral
Therefore, The missing information in the paragraph proof should be considered as the Inscribed Angle.
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Adrian has already earned $66 washing and waxing cars. He earns $9 per car. He wants to save at least $250 for a new
video game system,
Write an inequality to determine how many more cars Adrian will need to wash and wax to have at least $250, using "c" for
the number of cars.
The angle measures of a triangle are shown in the diagram.
50
(2x)
(3x – 10)
What is the value of x?
Answer:
28
Step-by-step explanation:
2*28 = 56
3*28 = 84 -10 = 74
74+56+50 = 180
180 degrees in a triangle
50 POINTS!!!!!!!!!!! I need help pleaseeeeeee
11 of 1511 of 15 Questions
Question
What is the measure of ∠B?
Triangle A B C with ray A G through point C and angle measures A = 3x, B = 4x, and exterior angle B C G = 10x minus 45.
© 2020 StrongMind. Created using GeoGebra.
Responses
60∘60 degrees
15∘15 degrees
45∘45 degrees
105∘
Answer:
∠ B = 60°
Step-by-step explanation:
the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
10x - 45 is an exterior angle of the triangle , then
10x - 45 = 3x + 4x = 7x ( subtract 7x from both sides )
3x - 45 = 0 ( add 45 to both sides )
3x = 45 ( divide both sides by 3 )
x = 15
Then
∠ B = 4x = 4 × 15 = 60°
answer pls ill give bainliest!
Answer:
the right scale factor is 2.5
Step-by-step explanation:
just divide 5 by 2
Answer:
False im not sure sorry
Thirteen less than eight times a number is - 18.
Choose the correct answer below.
A. 8x + 13 = - 18
B. 8(x - 13) = -18
C. 13x - 8 = - 18
D. 13x + 8 = - 18
E. 8x - 13 = - 18
Answer:
C
Step-by-step explanation:
13-8x =-18 with x being a random number apart from zero
Can somebody please help me on this?
Answer:
6,12,15,18
Step-by-step explanation:
in my answer I multiplied each x with 3 and then divided i am not sure how you would do it but normally we would multiply
m=2/3 , through the point (6,5)
Answer:
y = \(\frac{2}{3}\) x + 1
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
here m = \(\frac{2}{3}\) , then
y = \(\frac{2}{3}\) x + c ← is the partial equation
to find c substitute (6, 5 ) into the partial equation
5 = \(\frac{2}{3}\) (6) + c = 4 + c ( subtract 4 from both sides )
1 = c
y = \(\frac{2}{3}\) x + 1 ← equation of line
An automobile manufacturer claims that its jeep has a 59.8 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the MPG for this jeep since it is believed that the jeep has an incorrect manufacturer's MPG rating. After testing 160 jeeps, they found a mean MPG of 59.7. Assume the standard deviation is known to be 1.3. A level of significance of 0.02 will be used. Find the value of the test statistic. Round your answer to 2 decimal places. Enter the value of the test statistic.
Answer:
The value of the test statistic is -0.97
Step-by-step explanation:
This test is two tailed test.
Null and Alternative hypothesis is as follow
Null Hypothesis is used when it is assumed that there is no significant difference between the values.
Null Hypothesis = \(H_{0}\) = \(\mu =\) 59.8
The Alternative hypothesis is the alternative of the Null Hypothesis. It is an experimental technique that is used when it is assumed that there is some difference
Alternative Hypothesis = \(H_{a}\) = \(\mu \neq\) 59.8
Test statistcs is z
The value of test statistics can be calculated using the following formula
Test Statistics \(= (\bar x - \mu ) / \sigma / \sqrt n\)
Test Statistics \(= (59.7-59.8) / 1.3 / \sqrt 160\)
Test Statistics = -0.97
The area of a rectangle is 600 square meters. The width is 30 meters. What is the length?
Answer:
why is brainlys tutor system not free anymore
Step-by-step explanation:
I really need to know all of a sudden it's not free anymore
Answer:
A=L×W
600=L×30
600/30=L
L=20
therefore the length is 20m
linear equation in replacement method2x + y − 3z = 13x − y − 4z = 75x + 2y − 6z = 5
Given,
The system of equations are,
\(\begin{gathered} 2x+y-3z=1\ldots\ldots\ldots\ldots......\ldots.\mathrm{\cdot}..(1) \\ 3x-y-4z=7\ldots\ldots\ldots\ldots\ldots\ldots\ldots.(2) \\ 5x+2y-6z=5\ldots\ldots\ldots\ldots\ldots.\ldots\text{.}\mathrm{}(3) \end{gathered}\)Adding equation (1) and (2)
\(\begin{gathered} 5x-7z=8\ldots.\ldots\ldots\ldots\ldots\ldots\text{.}(4) \\ 7z=5x-8 \\ x=\frac{7z+8}{5} \end{gathered}\)Substracting equation (4) from (3)
\(\begin{gathered} 5x+2y-6z-5x+7z=5-8 \\ 2y+z=-3 \\ y=\frac{-z-3}{2} \end{gathered}\)Substituting the value of x and y then,
\(\begin{gathered} 2x+y-3z=1 \\ 2(\frac{7z+8}{5})+(\frac{-z-3}{2})-3z=1 \\ \frac{14z+16}{5}-\frac{z-3}{2}-3z=1 \\ \frac{28z+32-5z-15-30z}{10}=1 \\ \frac{-7z+17}{10}=1 \\ -7z=10-17 \\ z=1 \end{gathered}\)Substituting the value of z to get the value of x and y,
\(\begin{gathered} x=\frac{7z+8}{5}=3 \\ y=\frac{-z-3}{2}=-2 \end{gathered}\)Hence, the value of x is 3, y is -2 and z is 1.
- A box contains 7 apples and 5 oranges. The pieces of fruit are taken out of the box, one at a
time and in a random order. What is the probability that the bowl will be empty after the last
apple is taken from the box?
Answer:
The value is \(P( O \ and \ A ) = 0.583\)
Step-by-step explanation:
From the question we are told that
The number of apples is \(A = 7\)
The number of oranges is \(R = 5\)
Generally the probability that the bowl will be empty after the last apple is taken from the box is mathematically represented as
The probability that 5 oranges and 7 apples are drawn in the 1st 11 draws
So
\(P( O \ and \ A ) = \frac{(^5 C_5) * (^7 C_6) }{^{12} C_{11}}\)
Here C stands for combination hence we are going to be making use of the combination function in our calculators
\(P( O \ and \ A ) = \frac{(1 * 7 )}{12}\)
=> \(P( O \ and \ A ) = 0.583\)
Please answer asap the problem is attached
Please help what is the slope of the line?
Answer:
-5/4
Step-by-step explanation:
Let \((x_1,y_1)=(-4,4)\) and \((x_2,y_2)=(0,-1)\). The slope of the line would be:
\(\displaystyle \frac{y_2-y_1}{x_2-x_1}=\frac{-1-4}{0-(-4)}=\frac{-5}{4}=-\frac{5}{4}\)
Answer: -5/4
Step-by-step explanation:
To find the slope between two points, you can use the formula:
Slope = (y2 - y1)/(x2 - x1)
Using the points (0, -1) and (-4, 4), we can substitute the coordinates into the formula:
slope = (4 - (-1))/(-4 - 0)
slope = (4 + 1)/(-4)
slope = 5/-4
Therefore, the slope between the two points is -5/4.
5 x + 2 = 22
What is
Answer:
Step-by-step explanation:
5x + 2 = 22
Bringing like terms on one side
5x = 22 - 2
5x = 20
x = 20/5 = 4
solve the problem shot the solution
1. The first quartile (1) of the ages of the 256 employees of CCNHS – Main Campus is 39 years old. What does it imply?
The first quartile being 39 years old indicates a relatively younger age profile among the employees at CCNHS – Main Campus.
The first quartile (Q1) of the ages of the 256 employees of CCNHS – Main Campus being 39 years old implies that 25% of the employees have an age equal to or less than 39 years old.
To solve the problem, we need to understand the concept of quartiles. In statistics, quartiles divide a data set into four equal parts. The first quartile represents the point below which 25% of the data falls.
In this case, since the first quartile is 39 years old, it means that approximately one-fourth of the employees at CCNHS – Main Campus are 39 years old or younger.
This information provides insight into the age distribution of the employees. It suggests that there is a significant proportion of younger employees within the institution. Understanding the age demographics can be important for various purposes such as human resources planning, identifying generational differences, and designing age-appropriate policies or programs.
Overall, the first quartile being 39 years old indicates a relatively younger age profile among the employees at CCNHS – Main Campus.
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Given the formula:
A = Pe^r.t
Using your scientific calculator, find the money accumulated if you invested $65,000 at 7.3% interest for 10 years compounded continuously.
a. $134,880.24.
b. $96,219,495.29.
c. $69,922.48.
d. None of the above.
9514 1404 393
Answer:
a. $134,880.24
Step-by-step explanation:
Put the numbers into the formula and do the arithmetic.
A = $65,000×e^(0.073×10) ≈ $134,880.24
_____
Additional comment
The doubling time for continuously compounded interest is 69.3 years divided by the interest rate in %. Here, that is 69.3/7.3 = 9.49 years. That means an investment of 10 years will be slightly more than double the original amount. 2×65,000 = 130,000, so choice A is in the right ballpark. The other numerical choices are not.
Help me please asap!!
Answer:
angle BCA = 45 degree
Step-by-step explanation:
since it is an isosceles triangle , it's one angle is 90 degree whereas other two angles are 45 degree each.
For which equation is the solution set {-5,2}? *
Step-by-step explanation:
14 For which equation is the solution set {-5,2}?. 15 Which equation has the same solutions as. 2x. 2 + x - 3 = 0.
What is the slope of y=2x+7 (ASAP)
Answer:
Your slope is m=2
The slope-intercept form is
y = m x + b , where m is the slope and b is the y-intercept.
y = m x + b , Find the values of m and b using the form y = m x + b .
m = 2 b = − 7
The slope of the line is the value of m , and the y-intercept is the value of b .
Slope: 2
y-intercept: − 7
Answer:
2
Step-by-step explanation:
y = mx + b
m = slope
10 message If we took an SRS of 1700 people from California (population 34 million) and an SRS of 1000 people from Detroit (population 1 million) which sampling distribution would have the smaller standard deviation?
Answer:
California
Step-by-step explanation:
The standard deviation of a sampling distribution also called standard error is obtained using the relation :
Standard Error = σ / sqrt(n)
Where n = sample size ; σ = population standard deviation
From the relation above, the higher the sample size of the sampling distribution, the lower the standard error because n is the denominator.
Therefore, California with a sample size of 1700 will have a lower standard error value Than Detroit with a sample size of 1000
Which of the following is an irrational number?
Answer:
i think B
i just think,it can be wrong and right also
Answer:
It's D
Step-by-step explanation:
All of the rest of them are rational
A company boss is planning on ordering a gift for each of his employees. He takes a sample of 30 employees in the company and asks them what gift they would like. The table shows the information about his results. Gift Number of employees iPad 12 phone 5 watch 9 voucher 4 There are 110 employees in the company. Work out how many watches should be ordered.
Answer:
I think the answer is 33
Step-by-step explanation:
Extremely sorry if it's wrong