Answer:
1)
Minimum is a 4th Degree
2)
Positive; Even
3)
[tex]x=-4, -1\text{ Odd Multiplicity}\\x=3\text{ Even Multiplicity}[/tex]
Step-by-step explanation:
Part 1)
The minimum degree of our function will be 4.
Looking at the graph, we know that the graph crosses the x-axis at -4 and -1. Since it crosses through the x-axis at these two points, these two factors must have an odd multiplicity.
So, it can be anything 1, 3, 5, 7, etc.
However, we will choose the lowest one, 1.
Next, we know that the graph bounces off at 3.
So, it must have an even multiplicity. In other words, 2, 4, 6, 8, etc.
We choose the lowest one, 2.
Therefore, the minimum degree of our function will be 1+1+2 or 4.
Part 2)
The degree of our polynomial is (and will always be) even. Therefore, both ends of the graph will go in the same direction.
Recall the simplest even polynomial, the parent quadratic function. When the leading coefficient is positive, both of the ends go straight up.
This applies to all polynomials with even degrees.
Therefore, since the arms of the graph is going straight up towards positive infinity, the leading coefficient of our graph must be positive.
Part 3)
This is similar to Part 1.
We can see that the graph touches the x-axis at -4, -3, and 1. So, the zeros of the function is: [tex]x=-4, -1, 3[/tex]
We know that it passes through [tex]x=-4 \text{ and } x=-1[/tex] . So, these two factors must have an odd multiplicity.
However, since the graph bounces off [tex]x=3[/tex], this factor must have an even multiplicity.
And we're done!
Evan has 30 trading cards. He put them in stacks that each have 5 cards. Write a division sentence to find the number of stacks
Answer:
6
Step-by-step explanation:
30divided by 5 =6
Answer:
30 divided by 5= 6
Step-by-step explanation:
30 balls in total and 5 groups with 6 in each group
oooooo oooooo
oooooo oooooo
oooooo
Which of the following ratios is equivalent to 3:4
A: 2/3
B:3/4
C:4/3
Answer: B
hope this helps
What is the prime factorization of 23?
Answer: Prime factorization: 23 is prime. The exponent of prime number 23 is 1. Adding 1 to that exponent we get (1 + 1) = 2. Therefore 23 has exactly 2 factors.
Step-by-step explanation: Hopefully this helped!
The prime factorization of 23 is 23 × 1. It is already in its simplest form and cannot be expressed as a product of smaller prime factors.
To determine the prime factorization of a number, we check if it is divisible by prime numbers starting from 2. If it is divisible, we continue dividing until we reach the smallest prime factors. However, in the case of 23, it is not divisible by any number other than 1 and 23.
⇒ 23 × 1
The prime factorization of 23 is simply 23 itself. A prime number is a number that is only divisible by 1 and itself, and 23 satisfies this condition. It cannot be further broken down into smaller prime factors.
Therefore, the prime factorization of 23 is 23.
Learn more about Prime Factorization here:
brainly.com/question/4184435
#SPJ6
What is the product of −25 and −0.8? Select all that apply.
Answer:
20
Step-by-step explanation:
comon sence
Answer:
0.32
Step-by-step explanation:
sian rounds 103,502 to the nearest thousand and gets 103,000. did sian make a mistake?
Answer:
the answer is 104,000
Step-by-step explanation:
sian needs to use the 5 in the hundreds place holder to round the 3 in the thousands face holder to 4.
hope this helps.
respuesta de x+y+3=0
The slope (????) of the beam is given by:
θ(x) = dy/dx
Required:
Use a forward divided difference and a step size of h=0.3 to approximate the slope of the beam at x = 1. Calculated the true percent relative error.
Answer:
Step-by-step explanation:
From the given question:
The slope is expressed as;
[tex]\thteta (x) = \dfrac{dy}{dx} - - (1)[/tex]
[tex]\thteta (x) = \dfrac{dy}{dx}\left \{ {{\dfrac{y(x+b)-y(x)}{h} \ \ \to approximate} \atop {\dfrac{1}{100}}(-4+4x-3x^2+2x^3) \ \to \ exact } \right.[/tex]
∴
[tex]\theta (x) _{approximate} = \dfrac{y(1+0.3)-y(1)}{0.3}[/tex]
[tex]\theta (x) _{approximate} = \dfrac{y(1.3)-y(1)}{0.3}[/tex]
[tex]\theta (x) _{approximate} = -2.965 \times 10^{-5}[/tex]
[tex]\theta(x)_{exact} = \dfrac{1}{100}(-4+4-3+2)[/tex]
[tex]\theta(x)_{exact} = -0.01[/tex]
Finally, the true percent relative error TPRE is:
[tex]TPRE= \dfrac{ | \theta(x)_{approximate} -\theta (x)_{exact} }{\theta (x)_{exact} }\times 100\%[/tex]
[tex]TPRE= \dfrac{ 2.965 \times 10^5 --0.01}{-0.01}\times 100\%[/tex]
TPRE = 70..35%
6th grade math help me plzz
Answer:
-3 -1/3, -2.4,0.2,9.5
Step-by-step explanation:
-2.4,-3:1/3,9.5,0.2
= -2.4,-2.67,0.2,9.5
=-2.67,-2.4,0.2,9.5#
Each big square below represents one whole.
What percent is represented by the shaded area?
%
Answer:
91%
Step-by-step explanation:
Answer:
91%
Step-by-step explanation:
Count the white blocks: 9
and subtract them from the blue blocks: 100 - 9 = 91%
50 points please help!!
8
I think
Hope this helps
Can someone tell me if I got question 15 correct for angles geometry
Answer:
yup it and is correct and is 15
427 thousand in a scientific notation
Answer:
4.27 x [tex]10^{5}[/tex]
Step-by-step explanation:
The whole digit cannot go past 10 or be less than 1:
1 - 10 is the numbers of its max.
427,000
We would move the decimal point between 4 and 2 making:
4.2700
(Originally the decimal point moved 5 places because 427,000 is a whole number, which means the decimal point would be considered at the end, as shown below)
427,000.
By moving 5 places to the left this will be part of your: scientific notation as
___ x [tex]10^{5}[/tex]
(Then plug in 4.27 in front of your notation)
4.27 x [tex]10^{5}[/tex]
That is your answer!
I Desperately need help
Answer:
hi
Step-by-step explanation:
Simplify and divide the following radical expression: √3/ 6√7
Step by step please
Answer:
19
√
5
+
45
Step-by-step explanation:
Multiply:
√
2
⋅
√
6
.
Multiply:
3
√
9
⋅
3
√
6
.
2
√
3
⋅
5
√
2
.
Answer
[tex]21[/tex]/6 write the square root sign with 21 inside /6 (I cant make the sign
[tex]\sqrt{x} 3[/tex]/6 x 7
[tex]\sqrt{x} 3[/tex][tex]\sqrt{x} 7[/tex] /6 TAKE THE X's OUT) ok i cant make the sign alone Draw a line
and put the 6 under the 3 and 7
[tex]3 x 7[/tex] /6 Put the 3x7 under one square root sign /over 6
21/6 Put the 21 inside the square root sign / over 6
Step-by-step explanation:
does that make sense? i cant make the square root symbol so dont put the x's with the numbers
holly says 4.131131113... is a rational number . which following best describes whether holly correct and why
Answer:
its d holly is incorrect the decimal part follows a pattern but does not actully reapeat
Step-by-step explanation:
Adam is scuba diving. He descends 6 feet below sea level. He descends
the same distance 3 more times. What is Adam's final elevation?
Answer:
-24
Step-by-step explanation:
Answer:
-18 feet below sea level
Step-by-step explanation:
Take 6 multiply by 3 then turn into a negative
Which equation does not belong with the other three? O y= -5x - 1 O 2x - y = 8 O y = x +4 y = -3r + 13
Answer:
The equation y = -3r + 13 does not belong with the other three.
Step-by-step explanation:
We have 4 equations
y = -5x2x - y = 8y = x + 4y = -3r + 13The first 3 equations have relations between two variables x and y
So they are linear equations of two variables x and y
The fourth equation has a relation between two variables r and y
So it is a linear equation of two variables r and y
The fourth equation does not belong to with the first three equations because it has a different variable r
The equation y = -3r + 13 does not belong with the other three.
Two less than seven times a number is the same as ten times the same number increased by 1. What is the
number?
Answer:
x = -1
Step-by-step explanation:
first, create a formula or expression:
7x - 2 = 10x + 1
now, move the 10x, subtract it on the other side
-3x - 2 = 1
add 2
-3x = 3
divide by -3
x = -1
you can substitute it in to check
please i need it asp
I thought of a number, multiplied it by 2 1/2 , divided the result by 1 1/5 , subtracted 7/18 from it, and got 1 5/6 . What was my number?
6 points
please
Answer:
pass the code
Step-by-step explanation:
Which quadrant would the point (-5,-3) end up in if it is rotated 180 degrees clockwise?
At the beginning of the month Kiran had $24 in his school cafeteria account. Use a variable to
represent the unknown quantity in each transaction below and write an equation to represent it.
Then, represent each transaction on a number line. What is the unknown quantity in each case?
1. In the first week he spent $16 on lunches. How much was in his account then?
Answer:
he has 8$ left
Step-by-step explanation:
if you subtract 24 from 16 you get 8
{10, 12, 14, 16, 18, ...} What is the formula ?
Answer:
+2
Step-by-step explanation:
Monica regularly records her favorite television show. Each episode of the show requires .% of the total capacity of her video recorder. Her recorder currently has 2% of its total memory free. If Monica records all five episodes this week, how much space will be left on her video recorder?
Answer:
44.5%
Step-by-step explanation:
Write an explicit rule for the geometric sequence:
3, -12, 48, -192
please help and thank you!
Answer:
I think you would just multiply by -4
Step-by-step explanation:
3 x -4 = -12
-12 x -4 = 48
48 x -4 = -192
Please let me know if I've done anything wrong!
Each year, more than 2 million people in the United States become infected with bacteria that are resistant to antibiotics. In particular, the Centers of Disease Control and Prevention have launched studies of drug-resistant gonorrhea.† Suppose that, of 189 cases tested in a certain state, 12 were found to be drug-resistant. Suppose also that, of 429 cases tested in another state, 8 were found to be drug-resistant. Do these data suggest a statistically significant difference between the proportions of drug-resistant cases in the two states? Use a 0.02 level of significance. (Let p1 = the population proportion of drug-resistant cases in the first state, and let p2 = the population proportion of drug resistant cases in the second state.) State the null and alternative hypotheses. (Enter != for ≠ as needed.)
H0:
Ha:
Find the value of the test statistic. (Round your answer to two decimal places.)
What is the p-value? (Round your answer to four decimal places.)
p-value =
What is your conclusion?
Reject H0. There is a significant difference in drug resistance between the two states.Do not reject H0. There is a significant difference in drug resistance between the two states. Reject H0. There is not a significant difference in drug resistance between the two states.Do not reject H0. There is not a significant difference in drug resistance between the two states.
Answer:
Reject H₀. There is a significant difference in drug resistance between the two states.
Step-by-step explanation:
In this case we need to determine whether the data suggest a statistically significant difference between the proportions of drug-resistant cases in the two states.
The significance level of the test is, α = 0.02.
(1)
The hypothesis can be defined as follows:
H₀: There is no difference between the proportions of drug-resistant cases in the two states, i.e. [tex]p_{1} - p_{2}= 0[/tex].
Hₐ: There is a statistically significant difference between the proportions of drug-resistant cases in the two states, i.e. [tex]p_{1} - p_{2}\neq 0[/tex].
(2)
Compute the sample proportions and total proportion as follows:
[tex]\hat p_{1}=\frac{12}{189}=0.063\\\\\hat p_{2}=\frac{8}{429}=0.019\\\\\hat p=\frac{12+8}{189+429}=0.032\\[/tex]
Compute the test statistic value as follows:
[tex]Z=\frac{\hat p_{1}-\hat p_{2}}{\sqrt{\hat p(1-\hat p)\times [\frac{1}{n_{1}}+\frac{1}{n_{2}}]}}[/tex]
[tex]=\frac{0.063-0.019}{\sqrt{0.032(1-0.032)\times [\frac{1}{189}+\frac{1}{429}]}}\\\\=2.86[/tex]
The test statistic value is 2.86.
(3)
The decision rule is:
The null hypothesis will be rejected if the p-value of the test is less than the significance level.
Compute the p-value as follows:
[tex]p-value=2\cdot P(Z>2.86)=2\times 0.00212=0.00424[/tex]
p-value = 0.00424 < α = 0.02.
The null hypothesis will be rejected at 0.02 significance level.
Reject H₀. There is a significant difference in drug resistance between the two states.
Gertrude has 83.21 centimeters of wire. She uses 2 pieces of the wire.
Each piece she uses is 15.12 centimeters long. What is the length of
the remaining wire, rounded to the nearest tenth of a centimeter?
(Only round your final answer.)
Answer:W0t thu Ars £init
Step-by-step explanation:
Answer:
53 centimeters
Step-by-step explanation:
she uses 30.24 wire so subtract that from 83.21 then round that answer which was 52.97 to 53
Please help me urgently
Answer:
184320 Cubic Cenimeters
Step-by-step explanation:
Amy, Joan and Kevin each find rock. Amy's rock weighs 20.82 grams. Joan's rock
weighs 20.78 grams. The weight of Kevin's rock is between the weight of Amy's
rock and the weight of Joan's rock. What is a possible weight, in grams. of Kevin's
rock? Explain your thinking.
Answer:
20.80 grams
Step-by-step explanation:
This is a possible answer because 20.80 is directly in between the decimals 20.78 and 20.82
X and Y are supplementary angles. One angle measures 3 times the measure of the
other angle what is the measure of the smaller angle?
Answer:
Step-by-step explanation:
x + y = 180
3x = y
x + 3x = 180
4x = 180
x = 45
3*45 = y
y = 135
The two angles are
45
135
help please brainliest whoever gives the best answer.
Answer:
the anwser may eather be C or A
Step-by-step explanation:
i know this because if you read this the other two B and D dont entirly make scence and if those are not the correct answer i am sorry
i'm just explaining how i got this answer