Answers
Answer:
[tex]\sf x^2 + \boxed{\sf 5} \ x - \boxed{\sf 14}[/tex]
Explanation:
Given zero's of a polynomial function:
2 and -7Function's:(x + 7) (x -2) = 0x² + 7x - 2x - 14 = 0x² + 5x - 14 = 0Answer:
y = x² + 5x - 14
Step-by-step explanation:
If the zeros of a polynomial are 2 and -7, then:
⇒ x = 2 ⇒ (x - 2) = 0
⇒ x = -7 ⇒ (x + 7) = 0
Therefore, we can write the polynomial as:
y = a(x - 2)(x + 7) where a is some constant
As the first term of the given polynomial is x², we can say that its coefficient is 1. Therefore, a = 1
⇒ y = 1(x - 2)(x + 7)
⇒ y = (x - 2)(x + 7)
To write the polynomial in standard form ax² + bx + c
simply expand the brackets:
⇒ y = (x - 2)(x + 7)
⇒ y = x² + 7x - 2x - 14
⇒ y = x² + 5x - 14
Related Questions
You wish to test the following claim (
H
a
) at a significance level of
α
=
0.01
.
H
o
:
μ
=
61.5
H
a
:
μ
<
61.5
You believe the population is normally distributed and you know the standard deviation is
σ
=
17.6
. You obtain a sample mean of
M
=
59.1
for a sample of size
n
=
34
.
What is the test statistic for this sample? (Report answer accurate to three decimal places.)
test statistic =
What is the p-value for this sample? (Report answer accurate to four decimal places.)
p-value =
Answers
Using the z-distribution, it is found that the desired measures are given as follows:
The test statistic is z = -0.795.The p-value is of 0.2133.What are the hypotheses tested?At the null hypotheses, it is tested if the mean is of 61.5, that is:
[tex]H_0: \mu = 61.5[/tex]
At the alternative hypotheses, it is tested if the mean is less than 61.5, that is:
[tex]H_1: \mu < 61.5[/tex]
What is the test statistic?The test statistic is given by:
[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
The parameters are:
[tex]\overline{x}[/tex] is the sample mean.[tex]\mu[/tex] is the value tested at the null hypothesis.[tex]\sigma[/tex] is the standard deviation of the population.n is the sample size.The values of the parameters are given as follows:
[tex]\overline{x} = 59.1, \mu = 61.5, \sigma = 17.6, n = 34[/tex]
Hence, the test statistic is given by:
[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{59.1 - 61.5}{\frac{17.6}{\sqrt{34}}}[/tex]
z = -0.795.
What is the p-value?We have a left-tailed test, as we are testing if the mean is less than a value, with z = -0.795. Hence, using a z-distribution calculator, the p-value is of 0.2133.
More can be learned about the z-distribution at https://brainly.com/question/16162795
#SPJ1
Which is an x-intercept of the graphed function? (0,4) (-1,0) (4,0) (0,-1)
Answers
The x-intercept of the graphed function is (-1,0)
How to determine the x-intercept of the graphed function?The x-intercept of the graphed function is the point where the function has a value of 0
i.e. the x value when y = 0
From the complete question, we have:
x = -1 when y = 0
Hence, the x-intercept of the graphed function is (-1,0)
Read more about x-intercepts at:
https://brainly.com/question/3951754
#SPJ1
Find the distance between the points (4,-2), (4,-5)
Answers
[tex]\text{Given that,}\\\\(x_1,y_1) = (4,-2)~~ \text{and}~~ (x_2 ,y_2) = (4,-5)\\\\\text{Distance} = \sqrt{(x_2-x_1)^2 + (y_2 -y_1)^2}\\\\~~~~~~~~~~~~=\sqrt{(4-4)^2 + (-5+2)^2}\\\\~~~~~~~~~~~~=\sqrt{0^2+(-3)^2}\\\\~~~~~~~~~~~~=\sqrt{0+9}\\\\~~~~~~~~~~~~=\sqrt 9\\\\~~~~~~~~~~~~=3[/tex]
A certain rectangular prism has a height of 4 m, a length of 6 m, and a width of 8 m. Give the dimensions of a second rectangular prism that will have the same surface area of the first one.
Answers
Step-by-step explanation:
in its basic structure such a prism is like a cube (just rectangular and not squared) : 6 sides (rectangles).
2 rectangles top and bottom 6×8 = 48 m²
48 × 2 = 96 m²
2 rectangles front and back 6×4 = 24 m²
24 × 2 = 48 m²
2 rectangles left and right 8×4 = 32 m²
32 × 2 = 64 m²
the total surface area is
96 + 48 + 64 = 208 m²
it is hard to find other integer dimensions for the same surface area.
but as long as we are not restricted to integer numbers :
let's cut e.g. the height in half.
and we get
2 rectangles left and right 8×2 = 16 m²
16 × 2 = 32 m²
that "nails" already 2 dimensions (width and height).
we need to set now the third dimension (length) to create the same surface area :
length×8×2 + length×2×2 = 208 - 32 = 176
20×length = 176
length = 8.8 m
so, with
length = 8.8 m
width = 8 m
height = 2 m
we still get
2 rectangles top and bottom 8.8×8 = 70.4 m²
70.4 × 2 = 140.8 m²
2 rectangles front and back 8.8×2 = 17.6 m²
17.6 × 2 = 35.2 m²
2 rectangles left and right 8×2 = 16 m²
16 × 2 = 32 m²
as total surface area
140.8 + 35.2 + 32 = 208 m²
What's solid figure could be formed from the net shown 15 cm 9 cm
Answers
Answer:
triangular pyramid
..................
Two choices greater than 3/5
Answers
Answer:
39/50 is larger than 3/5.
Step-by-step explanation:
2/3 is larger than 3/5.
25
Find the value of
20
Answers
Answer:
[tex]\sqrt{20}[/tex] or 4.472
Step-by-step explanation:
Value of 20
Amanda works at a store that pays her 7% commission on the total amount of clothes she sells. Last week, she sold $1600.00 worth of clothes. What is the amount of commission Amanda earned last week?
$112
$22.86
$11.2
$228.57
Answers
Explanation: When you want to find out what the value of a percentage of the total is, you want to multiply the percentage by the total value. Example: 0.07 x 1600 = 112
Please i need your help for number 6
Answers
Conversion:
1 feet = 12 inch
Explanation:
a) 19 inch = 12 inch and 7 inch = 1 feet and 7 inch
b) 38 inch = 36 inch and 2 inch = 3 feet and 2 inch
DIGANME YA LES PREGUNTE ALGO
Answers
Answer:
yee yee I'm a rodeo cowboy and I don't know what you mean brother
(y−2)=3(x−1) whats the slope
Answers
Answer:
the slope is 3
In circle O below, segment RA is a diameter, arc RP = 104 degrees, and arc RQ = 70 degrees. Find the
measure of the indicated angle
m<=5
Answers
Answer:
76°
Step-by-step explanation:
Arc RP = 104
Major arc RPA = 180 (half a circle)
180-104 = 76
Arc AP = 76, so Angle 5 = 76
Central Angles and their arcs are equal
Answer:
76°
Step-by-step explanation:
Finding m∠4 :
The angle is equal to arc RP∠4 = ° 104Finding m∠5 :
∠4 + ∠5 = 180° (property of linear angles)∠5 = 180° - 104°∠5 = 76°the universal set U, is given as; U={whole numbers from 1 to 12} H is a subset of U such that H = { odd numbers between 4 and 12} list the elements of set H
Answers
Step-by-step explanation:
odd numbers cannot be divided by 2 without remainder.
so, H is
{5, 7, 9, 11}
The circumference of a circle is 25 pi cm . what is the area, in square centimeters? express your answer in terms of pi .
Answers
The area of the circle is the amount of space it occupies, and the area of the circle is 156.25π
How to determine the area?The circumference, C is given as:
C = 25π
Start by calculating the radius using:
C = 2πr
So, we have:
2πr = 25π
Solve for r
r = 12.5
The area is then calculated using:
A = πr²
So, we have:
A = π * 12.5²
Evaluate
A = 156.25π
Hence, the area of the circle is 156.25π
Read more about areas at:
https://brainly.com/question/24487155
#SPJ1
a rectangle measures 1 1/4 by 2 3/4 inches what is the area
Answers
let's firstly convert the mixed fractions to improper fractions, and then get their product.
[tex]\stackrel{mixed}{1\frac{1}{4}}\implies \cfrac{1\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{5}{4}} ~\hfill \stackrel{mixed}{2\frac{3}{4}}\implies \cfrac{2\cdot 4+3}{4}\implies \stackrel{improper}{\cfrac{11}{4}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{5}{4}\cdot \cfrac{11}{4}\implies \cfrac{(5)(11)}{(4)(4)}\implies \cfrac{55}{16}\implies 3\frac{7}{16}[/tex]
(2 + 3i) + (3 – 4i)
(3 – 5i) – (–2 – i)
(2 − 4i)(1+ 3i)
2i(−1+ 3i)
Answers
Answer:
See below ~
Step-by-step explanation:
Question 1
(2 + 3i) + (3 - 4i)5 - iQuestion 2
(3 – 5i) – (–2 – i)3 - 5i + 2 + i5 - 4iQuestion 3
(2 − 4i)(1+ 3i)2 - 4i + 6i - 12i²14 + 2iQuestion 4
2i(-1 + 3i)-2i + 6i²-6 - 2iBen's family went to NYC for their vacation. At the gift shop on Liberty Island, Steven bought three t-shirts
and two keychains for $120, and Jennifer bought five t-shirts and four key chains for $212. Find the price of
each item
Each t-shirt is $28 and each keychain is $18
Each t-shirt is $17 and each keychain is $31
Each t-shirt is $31 and each keychain is $17
Each t-shirt is $18 and each keychain is $28
Answers
Answer:
Step-by-step explanation:
Elizabeth's family went to NYC for their vacation. At the gift shop on Liberty Island, Scott bought four t-shirts and five keychains for $291, and Michelle bought seven t-shirts and six key chains for $424. Find the price of each item. Each t-shirt is $31 and each keychain is $34 Each t-shirt is $37 and each keychain is $30 Each t-shirt is $30 and each keychain is $37 Each t-shirt is $34 and each keychain is $31 > Next Question
Previous question
(4, 2) reflected over y axis
Answers
Solve for x in 2•8 X 867•5x
Answers
Step-by-step explanation:
867.5x ×2.8
is is equal to 2429x
Complete number pattern 88,79, _,_, 52,43,34
Answers
answers: 70 & 61
Look at the number line below what value does point X show
Answers
Answer:
let xtake the part to be 1.2
Is this inverse or direct variation?
y = 3/x
Answers
The coordinates of the vertices of a quadrilateral are (8, 11) (11, 7) (8, 3) (2, 3). What is the area, in square units, of the quadrilateral?
Answers
Check the picture below.
so the quadrilateral is really just a parallelogram below a triangle, so let's simply get the area of each and sum them up.
[tex]\stackrel{\textit{\Large Areas}}{\stackrel{parallelogram}{(6)(4)}~~ + ~~\stackrel{triangle}{\cfrac{1}{2}(6)(4)}}\implies 24~~ + ~~12\implies 36[/tex]
find the mean and median of 1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,5,5,5,5,5
Answers
Answer:
Mean - 3.3793103448276
Median - 3
Step-by-step explanation:
Define:
Mean ⇒ Average
Median ⇒ Middle Number
Solve:
Mean ( Adding all number then divide by total number in data set)
1 + 1 + 2+2+2+2+3+3+3+3+3+3+3+3+3+4+4+4+4+4+4+4+4+5+5+5+5+5=94
94/29 = 3.3793103448276
Mean - 3.3793103448276
Median ( Find Middle Number)
1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,5,5,5,5,5
Kavinsky
HELP ME PLEASE FAST I REALLY NEED THIS DONE NOW
Answers
Answer:
Step-by-step explanation:
What is the coefficient in the mathematical expression?
- 7
point 2 1/3 is on the right of 2 plus 2 small marks
point -5/6 is on the right of -1 plus 1 small mark
point -3 1/2 is on the left of -3 plus 1 small mark
sorry I don't know how to draw a number line on brainly
Answer:
- for the number line check out the attached photo
- 7
Step-by-step explanation:
- on the number line, each small mark represents 1/6 so to make it easier I made the fraction into 1/6 form
- a coefficent is a numerical value placed before and multiplying the variable in an algebraic expression (ex. 4x)
In this case 7 is before the m making 7 the coefficent
Hope this helps, Let me know if you have any other questions !
please please help will give brainlist
What is the volume of the prism?
it has to be simplest mixed number form
Answers
Step-by-step explanation:
[tex]13 \frac{1}{8} [/tex]
is the required answer
A jewelry designer is making identical bracelets. She has
21 blue beads and 14 red beads. What is the greatest number of bracelets she can make using all of the beads?
Answers
Answer
great common factor of 14 and 21 is 15. so your answer is 15
You want to know the opinions of homo-schooled students across America on whether they prefer to loarn at home versus at a public school with other students. You obtain a list of all home-schooled students and mail a survey to a random sample of 7,500 students. Of those, 4,195 responded and 39% say they prefer to learn at home. Which of the
following statements is true?
The results of this survey may be affected by nonresponse blas.
The results of this survey cannot be trusted because of convenience response bias.
O Bocauso random sampling is used, wo can fool confident that the porcont of all homo-schooled students who say they favor learning at home is close to 39%.
O Because more than half of those who were mailed the survey actually responded, va can feel fairly confident that the actual percentage of all home-schooled
students who prefer to learn at homo is close to 39%.
Answers
In this survey, the results can be trusted because more than half of the people responded which makes this sample to be representative.
What is nonresponse bias?This occurs when most of the people who were intended to be surveyed do not respond, which causes the results to be biased as the sample does not represent the population.
Can the results of this survey be trusted?Considering more than 50% answer it is likely the results can be trusted as the sample is still representative.
Learn more about sample in: https://brainly.com/question/11045407
#SPJ1
The product of two whole numbers is 832 and their sum is 58. What are the two numbers?
Answers
Mark me as brainiest
Answer:
33 and 25
33 + 25 = 58
33 x 25 = 825
Are you able to help me: Simplify (4x + 2)3
Answers
Answer:
64x^3 + 996x^2 + 48x + 8
Step-by-step explanation:
Answer:
12x+6
Step-by-step explanation:
[tex](4x+2)3[/tex]
Use the distributive property to multiply (4x+2) by 3:-
[tex]12x+6[/tex]