The way that zeros of a polynomial function is related to the equation and graph of a function because they act as solutions to the equation and also x-intercepts of a graph.
What graphing relationship does a zero have?When the quadratic equation's graph crosses the x-axis, those points are known as the zeros of the equation.
The graph's x-intercepts and a function's zeros are the same thing. If the zero of f has an odd multiplicity, the graph of f will cross the x-axis at that x value. The x-axis will be touched by the graph of f if it has an even multiplicity zero.
Hence, A polynomial's zeros are the answers to any equation such as p(x) = 0, where p(x) stands for the polynomial. Since the values of x where y = 0 if we graph this polynomial as y = p(x). In other words, these are the graph's x-intercepts.
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A couple bought a rental house for $195,000 it’s assessed value was $180,000 if the tax rate is $1.50 per $100 of assessed value what is the monthly contribution the lender will require for taxes round to the nearest cent
Step-by-step explanation:
there is no interest and such involved. it is a straight forward calculation to allow the lender to accumulate enough funds (= the ESCROW account as part of the mortgage account structure) to be able to pay the taxes once a year on behalf of the owners.
so, the tax is $1.50 for every $100 of the assessed value of the house.
how many $100 units are in that value ?
180,000 / 100 = 1,800 units.
that means the tax for that house is
1800 × 1.5 = $2,700
in order for the lender to accumulate $2,700 in the ESCROW account in a year (= 12 months), the monthly contribution has to be
2700 / 12 = $225.00
10. Seven more than the quotient of a number b
and 45 is greater than 5.
Find the slope of the line using rise/run formula please help
Answer:
20/5 is the slope, or 4.
Step-by-step explanation:
It went up 20 units on the y axis, and over 5 units on the x-axis. So 20/5 is the slope.
-Hope this helped
I don't understand how to do this, pls help :(
Answer: A
Step-by-step explanation:
a nutrition label on a protein bar shows that the bar contains 7% of the daily recommended amount of carbohydrates. there are 20 grams of carbohydrates are recommended in the protein bar. how many grams of carbohydrates ar recommended per day? round your answer to the nearest whole. PLEASE HELP WITH N EXPLANATION
The daily amount in grams of the recommended carbohydrates is 2587.15 grams
How to solve for the amount of recommended carbohydrateThe amount of daily recommended carbohydrate is solved by dividing the quantity of carbohydrate in the protein bar by the percentage contained in the bar
The problem deals with percentage and 7% is written as
7%
= 7 percent
= 7 / 100
= 0.07
The factor 0.07 of the daily recommended amount of carbohydrates gives 20 grams of carbohydrate
let the daily recommended amount of carbohydrates be x
0.07 * x = 200
0.07x = 200
x = 200 / 0.07
x = 2587.15 grams
The daily recommended amount of carbohydrates is 2587.15 gram
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A hexagon has exterior angle measures of (7n + 3), (10n-17)°,
(8n - 16), (4n+17), (-n + 16), and (5n - 6)°.
Find the value of n.
Using the sum of exterior angle, the value of n is 11.
In the given question,
A hexagon has exterior angle measures of (7n + 3), (10n-17), (8n - 16), (4n+17), (-n + 16), and (5n - 6)°.
We have to find the value of n.
As we know that the sum of exterior angle of any polygon is equal to 360°.
As the given measures are (7n + 3), (10n-17), (8n - 16), (4n+17), (-n + 16), and (5n - 6)°.
So we can find the value of n by adding the all measures.
So the expression should be
(7n + 3) + (10n-17) + (8n - 16) + (4n+17) + (-n + 16) + (5n - 6)° = 360°
Simplifying the bracket.
7n + 3 + 10n-17 + 8n - 16 + 4n+17 - n + 16 + 5n - 6 = 360°
Solving the expression by solving the same term
(7n+10n+8n+4n-n+5n)+(3-17-16+17+16-6)= 360°
33n-3 = 360°
Add 3 on both side
33n-3+3 = 360°+3
33n = 357°
Divide by 33 on both side
33/33 n= 363°/33
n = 11
Hence, the value of n is 11.
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if h(x)= 1-7x find the value of 23-h(9)=
85
Step-by-step explanation:
Given,
[tex]{ \pink{ \sf{h(x) = 1 - 7x}}} \: { \to} \: { \tt{eq}^{n} (1)}[/tex]
Put x = 9 in Eqⁿ (1)
[tex]{ \pink{ \sf{h(9) = 1 - 7(9)}}}[/tex]
[tex]{ \pink{ \sf{h(9) = 1 - 63}}}[/tex]
[tex]{ \red{ \boxed{ \pink{ \sf{h(9) = - 62}}}}}[/tex]
Let
[tex]{ \green{ \sf{23 - h(9)}}} \: { \to} \: { \tt{ {eq}^{n} (2)}}[/tex]
Substitute the value of h(9) in Eqⁿ (2)
[tex]{ \green{ \sf{23 - ( - 62)}}}[/tex]
[tex]{ \green{ \sf{23 + 62}}}[/tex]
[tex] = { \pink{ \boxed{ \red{ \sf{85}}}}}[/tex]
What is 10,483,190 in word form?
Answer:
Ten million, Four hundred eighty-three thousand, one hundred ninety
Step-by-step explanation:
Break it down! into the tens digit, hundreds digit, etc.
At the toaster company, the weekly cost to run the factory is $1400 and the cost of producing each toaster is an additional $4 per toaster. Find a function rule representing the weekly cost in dollars, f(x), of producing x toasters.
Answer:
I believe... f(x)=1400+4x
Which equation is the inverse of y = 100-x²?
Oy=± √100-x
O y=10± √√x
Oy=100+√x
Oy=+√x-100
Answer:
y = ±√100-x
Step-by-step explanation:
To work out the inverse of this function :
We solve for x then swap x and y :
Solving for x :
y = 100 - x²
Add x² to both sides :
x² + y = 100
Subtract y from both sides :
x² = 100-y
Square root both sides :
x = ±√100-y
Now we have solved for x. Now swap x and y :
y = ±√100-x
This is our final answer and is the first option.
Hope this helped and have a good day
Suppose a large consignment of compact discs contained 13% defectives.
If a sample of size 329 is selected, what is the probability that the sample proportion will differ from the population proportion by more than 3%? Round your answer to four decimal places.
The probability that the sample proportion will differ from the population proportion by more than 3% is 0.8948
How to calculate the probability?The requirement to solve the probability between z-values is to know that the probability between the z-values is the difference between the probability of the greatest z-value and the lowest z-value.
In this case, the sample proportion:
= ✓[p(1 - p)/n]
= ✓(0.13 × 0.87)/329
= 0.01854.
The probability will be:
P(-0.03 / 0.01854) < z < (0.03 / 0.01854)
P(-1.62 < z < 1.62)
Looking at the z table, the probability is 0.08948
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I don't understand please help me...
The total fencing material required to fence the playground and both flower beds is
perimeter of a rectangle is 2( / + w)perimeter of a square is 8aHow to find the material required for the fencingInformation from the question
The boundary of a park is shaped like a circle
The length of the rectangular playground is / and its width is w
The length of each side of the square flower beds is a
The problem is asking for the perimeter of a rectangle and 2 squares
perimeter of a rectangle is 2( / + w)
perimeter of a square is 4a
If there was no over lap the expression will have no reduction and hence the quantity of material required for the fencing is equal to their respective perimeters
The flower beds are two so the perimeter will be multiplied by 2 to give 8a
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how to interpret data from a frequency distribution
Answer:
The first column is usually for the categories of the data set and the second or third column is usually for the frequency of each category.
The number written on the right of each category is its frequency
Step-by-step explanation:
Given f(x)=3x^2+kx+4 and the remainder when f(x) is divided by x-4 is 68 then What is the value of k?
Answer:
k = 4-----------------------------
GivenFunction f(x) = 3x² + kx + 4,Remainder of f(x) / (x - 4) is 68.According to the remainder theorem, if we subtract 68 from the given trinomial it should be divisible by x - 4. In other words, one of zero's will be x = 4.
f(x) = 3x² + kx + 4 - 68 = 3x² + kx - 64 = 0When x = 43*4² + k*4 - 64 = 048 + 4k - 64 = 04k - 16 = 04k = 16k = 4A model rocket is launched with an initial upward velocity of 235 feet the Rockets height H in feet after t seconds is given by the following
By assuming that the initial height of the rocket is the ground, we will get the height equation:
H(t) = -16*t^2 + 235*t
How to find the equation for the height?The height equation for any object near the surface of the heart that is not being subject to any other forces than the gravitational one is:
H(t) = -16*t^2 + v*t + h
Where:
t represents the time in seconds.
the first coefficient -16 is half of the gravitational acceleration in feet over squared seconds.
v is the initial velocity, which in this case is 235 ft/s
h is the initial height, in this case we assume is zero (the rocket is launched from the ground)
Replacing all that in the height equation, we will get:
H(t) = -16*t^2 + 235*t
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Help me with these 2
1) y = 3x+2, where slope is 3 and point is(3, -5).
2) y+6 = 4(x-5) is the equation for the given slope and point.
The slope of a line can be calculated from the equation of the line. The general slope of a line formula is given as,y = mx + b
The slope of a line can be calculated using two points lying on the straight line. Given the coordinates of the two points, we can apply the slope of line formula.Slope = m = tan θ = (y2 - y1)/(x2 - x1)
1) y + 5 = 3(x-1)x-x
Compare this equation to y - y₁ = m(x - x₁)
y = 3x - 3 + 5
y = 3x + 2
2) Given:
Slope = 4; point (5, -6)
y - y₁ = m(x - x₁)
y + 6 = 4(x -5 )
Option A
Hence, i) y = 3x+2, where slope is 3 and point is(3, -5) and ii) y+6 = 4(x-5) is the equation for the given slope and point.
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The radioactive substance cesium-137 has a half-life of 30 years. The amount At (in grams) of a sample of cesium-137 remaining after t years is given by the following exponential function.
=At26612t30
Find the initial amount in the sample and the amount remaining after 80 years.
Round your answers to the nearest gram as necessary.
NEED HELP ASAPPPPPPPP
1) In figure 4, the area of the square os 16cubes. The shaded part is 7cubes, being one less than 4^2 or 4*4. The formula is n+n-1. This can be put in for 5 too. 5+5-1=9.
2) Using the formula, 50+50-1=99. Therefor, the shaded squares in the 50th figure would be 99.
Complete sentence:
1) The formula for the number of shaded squares in the Nth figure is n+n-1.
2) There would be 99 shaded squares in the 50th figure.
explanation: Knowing that the area of a square is length*width, in this case because the figures are squares, the length and the width are both the same number. From this, we can tell that for figure 45, the length is 45 and so this the width. The one square in the corner is both the length and the width so this is why we take 1 away or -1.
A hospital is trying to cut down on emergency room wait times. It is interested in the amount of time patients must wait before being called back to be examined. An investigation committee randomly surveyed 70 patients. The sample mean was 1.5 hours with a sample standard deviation of 0.5 hours.
Which distribution should you use for this problem? (Enter your answer in the form z or tdf where df is the degrees of freedom.)
The distribution that is needed for the problem that we have here is the t distribution.
What is the t distribution?With its bell-shaped structure and heavier tails, the t-distribution, commonly referred to as the Student's t-distribution, is a kind of probability distribution that resembles the normal distribution.
When there are insufficient samples or unknown variances, it is used to estimate population parameters. T-distributions have broader tails than normal distributions because they are more likely to contain extreme values.
We have tn-1
where n = 70
so that we would have
t70 - 1
= t69
Therefore we would have to use the t distribution here.
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Emma wrote one hundred thousand as 1,000,000. Explain what she did wrong.Then write the number correctly
Answer:
she wrote 1 million. It's 100,000
Step-by-step explanation:
she wrote 1 million. It's 100,000
The figure below is made up of a square with height, h units, and
a right triangle with height, h units, and base length, b units.
h
b
The area of this figure is 80 square units.
Write an equation that solves for the height, h, in terms of b.
Answer: $4x4x
Step-by-step explanation:
△MNP≅△QST.
What is m∠S?
Enter your answer in the box.
Answer:
78°
Step-by-step explanation:
∠M=∠Q
∠N=∠S
∠P=∠T
Answer:
m∠S =78°---------------------
Given
Two congruent triangles △MNP≅△QSTWe know that corresponding angles of congruent triangles are congruent (vertices in same order as name of triangle):
∠M ≅ ∠Q, ∠N ≅ ∠S, ∠P ≅ ∠TAngle S corresponds to angle N, hence their values are equal:
m∠S = m∠N = 78°A school is arranging a field trip to the zoo. The school spends 654.84 dollars on passes for 32 students and 2 teachers. The school also spends 281.92 dollars on lunch for just the students. How much money was spent on a pass and lunch for each student?
The money was spent on a pass and lunch for each student is $28.07
How to calculate the amount?It was stated that the the school spends 654.84 dollars on passes for 32 students and 2 teachers while the school also spends 281.92 dollars on lunch for just the students.
Therefore the amount spent on pass will be:
= Total amount / Number of people
= 654.84 / 34
= 19.26
The amount spent on each student will be:
= 281.92 / 32
= 8.81
The amount spent in pass and lunch will be:
= 19.26 + 8.81
= $28.07
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Need help solving this problem 35)210.35
Answer: The answer is 0.16638935108
Step-by-step explanation:
Please Help!!!!
Kim and Tracy are collecting data for their final project in their psychology
class, in which they are conducting a survey about people’s overall job
satisfaction. They decide to go to the local mall to collect their data. To get a
more varied sample, Kim surveys shoppers coming out of store A, a discount
clothing store, while Tracy surveys shoppers coming out of store B, a high-end
boutique.
A. Identify a possible problem with this type of sampling method. (6 points)
B. How might Kim and Tracy improve on their sample design so as to get more
accurate information from the shoppers at the mall?
Answer:
below
Step-by-step explanation:
A problem would be that they are not surveying people from multiple places. They are doing it at 2 opposite stores, at the same times. They should try multiple different stores at other days and times to get more objective data.
What percent is 199 is 761
Answer:
Step-by-step explanation:
Solutionx% of 199 is 761 is 382.41206…% Answer
Convert x% into a decimal and multiply by 199
In order to convert a percent to a ratio, divide it by 100:
a%=a100
a=x
x% =x100
Convert to decimal form=0.01x
Multiply 0.01x by 199
=0.01x· 199=1.99x
Solve 1.99x=761
1.99x=761
x=761/1.99
x=382.41206%
A line is perpendicular to y = 6x +3
and intersects the point (6, 1).
Find the equation for this line.
y-1=-(x-[?])
Answer:
1
Step-by-step explanation:
Perpendicuar lines have slopes that are opposite reciprocals: 6 ==> -1/6
y=mx+b
y=-x/6 + b ==> plug in slope -1/6 into slope equation
1 = -6/6 + b ==> plug in x and y values into slope equation
1 = -1 + b
1 + 1 = -1 + 1 + b
b = 2 ==> solve for b
y = -x/6 + 2 ==> plug in the value of b into the equation
y - 1 = -x/6 + 2 - 1
y - 1 = -x/6 + 1
y - 1 = -(x/6-1) ==> answer: 1
Red- 5 skittles
Purple- 8 skittles
Yellow- 1 skittle
Orange- 2 skittles
Green- 4 skittles
Tomas reaches in a bowl and pulls out a green skittle. Without replacing the green skittle, what is the probability he picks a yellow skittle.
A. 1/100
B. 1/80
C. 1/95
D. 1/76
Answer:
I think its C. 1/95
Step-by-step explanation:
I am not sure this is the answer, i haven't done this math in ages so I'm a bit rusty so good luck on the test!
if p is false,which row represents when p v(q^r) is true?
E
F
G
H
Answer:
f and g 231
Step-by-step explanation:
Help with this math problem
The value of the investment after 3.25 years is $434.93.
What is the interest rate?The amount a lender charges a borrower, expressed as a percentage of the principle, is known as the interest rate.
Given that, the initial investment is P₀ = $400, the interest rate is n = 2.6%, and the time is x = 3.25 years.
The formula for the future value in continuous compounding is:
P(x) = P₀eⁿˣ
Substitute P₀ = 400, n = 2.6%, and x = 3.25 into the equation:
[tex]P(3.25) = (400)e^{2.6\%(3.25)}\\[/tex]
= 434.93
Hence, the value of the investment after 3.25 years is $434.93.
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