Find the vertex of x^2-4x+3=0


Is the vertex a minimum or maximum. Explain


You must show all your work for full credit.



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The area of Connect Karly's bedroom measures  135.96 square feet

This is the term used to refer to extents or coverage of a two dimensional object. The two dimensions involve in area is the length and the width.

given data

Connect Karly's bedroom measures

13.2 feet long

10.3 feet wide

Area of the bedroom = ?

Using the formula for area which has two terms the length and the width. The formula is multiplying the two terms and is shown below

Area = length  * width

Area =  13.2 feet * 10.3 feet

Area = 135.96 square feet

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Answer:

10.25

Step-by-step explanation:

13*13-8*8=105

\(\sqrt{105}\)=10.25

Answer:

Step-by-step explanation:

hello :  

by phtagor-rul :

x²+8² = 13²

x² = 13² -8²

x² =169 - 64

x² = 105

x = sqrt(105)=10.25

Answer:

a.

E(y)=0.8

V(3y-10)=7.74

b.

The expected amount of surcharge is 117.5.

c.

The standard deviation of surcharges is 217.6723.

Step-by-step explanation:

a.

y          0      1      2    3

p(y)    0.5 0.25 0.2 0.05

y*p(y)  0    0.25 0.4 0.15

E(y)=sum(y*p(y))=0+0.25+0.4+0.15

E(y)=0.8.

y²          0      1      4    9

y²p(y)   0 0.25 0.8 0.45

V(y)=E(y²)-[E(y)]²

E(y²)=sum(y²*p(y))=0+0.25+0.8+0.45=1.5

V(y)=E(y²)-[E(y)]²

V(y)=1.5-[0.8]²

V(y)=1.5-0.64

V(y)=0.86

V(3y-10)=9V(y)=9*0.86=7.74

V(3y-10)=7.74

b.

E(95Y²-25)=95E(Y²)-25=95*1.5-25=142.5-25=117.5

E(95Y²-25)=117.5

The expected amount of surcharge is 117.5.

c.

SD(95Y²-25)=?

SD(95Y²-25)=√V(95Y²-25)

V(95Y²-25)=95²*V(Y²)

V(95Y²-25)=9025*V(Y²)

V(Y²)=E[(Y²)²]-[E(Y²)]²

y^4          0      1      16    81

y^4*p(y)   0  0.25   3.2 4.05

E[(Y²)²]=sum(y^4*p(y))=7.5

V(Y²)=E[(Y²)²]-[E(Y²)]²

V(Y²)=7.5-[1.5]²

V(Y²)=7.5-2.25

V(Y²)=5.25

V(95Y²-25)=9025*V(Y²)

V(95Y²-25)=9025*5.25

V(95Y²-25)=47381.25

SD(95Y²-25)=√47381.25

SD(95Y²-25)=217.6723

The standard deviation of surcharges is 217.6723.

The volume of a solid formed by revolving the region bounded above by the line is (932π/15)

To use the disk method, we need to integrate over the axis of revolution, which is the y-axis in this case. We can break the solid into vertical disks of thickness dy.

The radius of each disk is given by the distance between the y-axis and the curve \(x = y^2 - 1\). So the radius is:

\(r = y^2 - 1\)

The height of each disk is the difference between the y-coordinate of the top curve y = 3 and the y-coordinate of the bottom curve y = 1. So the height is:

h = 3 - 1 = 2

The volume of each disk is then:

\(dV = \pi r^2h dy\)

Substituting r and h, we have:

\(dV = \pi (y^2 - 1)^2 (2) dy\)

To find the total volume, we integrate over the range of y from 1 to 3:

\(V = \int_{1}^{3} \pi(y^2 - 1)^2 (2) dy\)

This integral can be simplified by expanding the squared term:

\(V = \int_{1}^{3} \pi (y^4 - 2y^2 + 1) (2) dyV = 2\pi \int_{1}^{3}(y^4 - 2y^2 + 1) dyV = 2\pi [(1/5)y^5 - (2/3)y^3 + y]^3_1\)

V = \(2\pi [(1/5)(3^5 - 1^5) - (2/3)(3^3 - 1^3) + (3 - 1)]\)

V = 2π [(1/5)(242) - (2/3)(26) + 2]

V = 2π [(242/5) - (52/3) + 2]

V = 2π [(726/15) - (260/15) + 30/15]

V = 2π [(466/15)]

V = (932π/15)

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Note: The full question is

Use the disk method or the shell method to find the volumes of the solids generated by revolving the region bounded by the graphs of the equations about the given lines. y = 1, y = 3, x = y^2 - 1.

Answer:

b

Step-by-step explanation:

pls mark me as brainliest pls

The graph of f(x) is the second one, so the correct option is B.

Here we have f(x), a piecewise function, and we want to see which one of the four graphs is the correct one.

You can see that the first domain of the function is:

x ≤ -4

So we must have a closed circle at x = -4, when the parabola ends.

The second domain is:

-4 < x < 1

So x here is not equal to -4 nor 1, so this part starts and ends with open circles.

finally, the linear part starts with a closed circle.

Also, notice that the line has a negative slope, so it goes down, then we can discard the first option.

Then we can see that the correct option is the second graph.

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Answer:

Perimeter:\(4x+10\) feet
Area:\(x^{2}+5x+6\) feet

Step-by-step explanation:

The perimeter is equal to 2*width +2*length. The width is x+2 and the length is x+3, therefore the perimeter is equal to 2x+4+2x+6 which equals 4x+10.
The area is equal to width*length
(x+3)(x+2)=\(x^{2}+2x+3x+6=x^{2}+5x+6\)

Answer:

The answer is 900 ×6= 5,400 u can use a calculator

Answer:

Step-by-step explanation:

All it's saying is that the 12% of the people are 35 and the 82% of people who did not submitted data is 175 people

The calculated test statistic (2.08) is greater than the critical value (1.96), we reject the null hypothesis and conclude that there is evidence to suggest that the contest has increased participation in the box tops for education program.

To determine if the contest has increased participation in the box tops for the education program, we need to conduct a hypothesis test.

We will use a significance level of 0.05, which means we are willing to accept a 5% chance of making a Type I error (rejecting the null hypothesis when it is actually true).

Null Hypothesis: The proportion of students submitting box tops for education is still 12% (or has decreased) after the contest.

Alternative Hypothesis: The proportion of students submitting box tops for education has increased after the contest.

To test this hypothesis, we will use a one-sample proportion test. We will use the sample proportion, p' = 35/210 = 0.1667, as an estimate of the population proportion, p. The test statistic is calculated as:

z = (p' - p) / √(p x (1-p)/n)

where n is the sample size.

Under the null hypothesis, the expected value of the test statistic is 0, and the standard deviation of the test statistic is sqrt(p*(1-p)/n).

Using p = 0.12 and n = 210, we have:

z = (0.1667 - 0.12) / √(0.12 x 0.88/210) ≈ 2.08

The critical value for a significance level of 0.05 and a two-tailed test is ±1.96.

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Answer: f(n) = 2n - 2

Therefore, we can use this formula to find the value of f(n) for any positive integer n.

Step-by-step explanation: Using the given recursive formula:

f(1) = 0

f(n) = f(n-1) + 2

We can find the values of f(n) for different values of n:

f(1) = 0

f(2) = f(1) + 2 = 0 + 2 = 2

f(3) = f(2) + 2 = 2 + 2 = 4

f(4) = f(3) + 2 = 4 + 2 = 6

f(5) = f(4) + 2 = 6 + 2 = 8

And so on.

We can see that each term in the sequence is 2 more than the previous term. So, we can write the general formula for f(n) as:

f(n) = 2n - 2

Therefore, we can use this formula to find the value of f(n) for any positive integer n.

Answer:

6 Ways

Step-by-step explanation:

Given: 3 students, Madeline, Austin, and Aubree

To Find: How many different ways can they stand in line?

Solution: 3 students, can line up in 3 so 6 ways.

The requried, probability that both the first digit in the last digit of the three-digit number is even numbers is 20%.

To count the number of three-digit numbers with distinct digits that can be formed using the digits 1, 2, 3, 5, 8, and 9, we can use the permutation formula:

P(n, r) = n! / (n-r)!

In this case, we have n = 6 (since we have 6 digits to choose from) and r = 3 (since we want to form three-digit numbers). Using the formula, we get:

P(6, 3) = 120

We can choose the first digit in two ways (2 or 8), and we can choose the last digit in three ways (2, 8, or 6). For the middle digit, we have four digits left to choose from (1, 3, 5, or 9), since we cannot repeat digits. Therefore, the number of three-digit numbers with distinct digits that have an even first and last digit is:

2 x 4 x 3 = 24

The total number of three-digit numbers with distinct digits is 120, so the probability that a randomly chosen three-digit number with distinct digits has an even first and last digit is:

24/120 = 0.2 or 20%

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Answer:

Area of a parallelogram = bh

= (14 × 10)cm^2 = 140cm^2 (ans)

Hope it helps

The subsets of the set {e, n, t} are given as follows:

{{}, {e}, {n}, {t}, {e,n}, {e,t}, {n,t}, {e,n,t}}.

Considering a set with n elements, the number of subsets in the set is the nth power of 2, that is:

\(2^n\)

The set for this problem is given as follows:

{e, n, t}

The cardinality is given as follows:

n = 3.

Hence the number of subsets is given as follows:

2³ = 8.

The subsets are given as follows:

{{}, {e}, {n}, {t}, {e,n}, {e,t}, {n,t}, {e,n,t}}.

In which {} is the empty set.

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a. The graph represents a proportional relationship.

b. The graph does not represent a proportional relationship.

c. The graph does not represent a proportional relationship.

d. The graph represents a proportional relationship.

A proportional relationship is a relationship in which a constant ratio between the output variable and the input variable exists.

The equation that defines the proportional relationship is a linear function with slope k and intercept zero presented as follows:

y = kx.

Hence graphs a and d represent proportional relationship, as they have intercepts at the origin.

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Answer:

subtract -4-6/5-5

Step-by-step explanation:

Answer is no solution

Answer:

1 - 3√(5/35) = 1 - 3√(1/7) = 1 - 3*(1/sqrt(7)) ≈ 0.0755
0.0755 * 100 = 7.55%

Step-by-step explanation:

To find the percentage of 1 - 3√(5/35), we need to first evaluate the expression.

1 - 3√(5/35) = 1 - 3√(1/7) = 1 - 3*(1/sqrt(7)) ≈ 0.0755

To convert this decimal to a percentage, we simply multiply by 100:

0.0755 * 100 = 7.55%

Answer: can you take a closer picture

Step-by-step explanation:

Answer:

12/5 is the answer of your questions

thank you!!

Answer:

TU ≅ CB

Step-by-step explanation:

HL Postulates that when a leg and the hypotenuse of a right triangle are congruent to a corresponding leg and hypotenuse of another, then both right triangles are congruent.

Both right triangles shown in the diagram above is indicated to possess corresponding lengths of a leg, that is side UV ≅ side BA

We need an additional information that shows that the hypotenuse, TU, of ∆TUV is congruent to the hypotenuse, CB of ∆CBA.

Therefore, additional information needed is TU ≅ CB

The area of the figure given, which is composed of a rectangle and two semicircles, is 154. 27 units ²

First, find the area of the rectangle in the composite shape which is :

= Length x Width

= 13 x 8

= 104 units ²

The area of a semi - circle is:

= ( π x r ² ) / 2

Seeing as there are two semi - circles, the area is:

= π x r ²  

= π x 4 ²

= 50. 27 units  ²

The area of the composite shape is therefore:

= 50. 27 + 104

= 154. 27 units ²

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Answer:

6

Step-by-step explanation:

The two triangles are similar which means the the two length is parallel

.°., the Length of the smaller triangle=6

The trigonometric identities indicates that the value of the expression, (1/cot²θ) + cos²θ - sec²θ is the option;

D. -sin²θ

Trigonometric identities are trigonometric equations that are true for the possible values of the input variables.

The expression can be presented as follows;

(1/(cot²θ) + cos²θ - sec²θ

The trigonometric identities for cotangents indicates that we get;

1/(cot²θ) = tan²θ

sec²θ = tan²θ + 1

Therefore;

(1/(cot²θ) - sec²θ = tan²θ - (tan²θ + 1) = -1

Therefore;

(1/(cot²θ) + cos²θ - sec²θ = (1/(cot²θ) - sec²θ + cos²θ = -1 + cos²θ

(1/(cot²θ) + cos²θ - sec²θ = -1 + cos²θ

cos²θ + sin²θ = 1

Therefore;

sin²θ = 1 - cos²θ

-sin²θ = -(1 - cos²θ) = -1 + cos²θ

Therefore;

(1/(cot²θ) + cos²θ - sec²θ = -1 + cos²θ = -sin²θ

The correct option is option D.  -sin²θ

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Answer:

D, 4√7

Step-by-step explanation:

Answer:

Step-by-step explanation:

c = 16

a = 12

b = ?

a^2 + b^2 = c^2

12^2 + b^2 = 16^2

144 + b^2 = 256

b^2 = 256 - 144

b^2 = 112

b^2 = 16 * 7

sqrt(b^2) = sqrt(16)*sqrt(7)

b = 4 * sqrt(7)

Answer: To calculate the tip amount, we need to multiply the bill amount by the percentage tip as a decimal:

Tip amount = 0.20 x $76 = $15.20

To find the total amount to pay, we add the bill amount and the tip amount:

Total amount = $76 + $15.20 = $91.20

Rounding this to the nearest dollar gives:

Total amount = $91

Therefore, you need to pay $91 in total if you leave a 20% tip on a $76 bill.

Step-by-step explanation:

Answer:

There is not sufficient evidence at the 0.01 level that the bags are underfilled or overfilled

Step-by-step explanation:

A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 403 gram setting.

This means that the null hypothesis is:

\(H_{0}: \mu = 403\)

Is there sufficient evidence at the 0.01 level that the bags are underfilled or overfilled:

This means that at the alternate hypothesis, we are testing if the mean is different than 403, that is:

\(H_{a}: \mu \neq 403\)

The test statistic is:

\(z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}\)

In which X is the sample mean, \(\mu\) is the value tested at the null hypothesis, \(\sigma\) is the standard deviation and n is the size of the sample.

Value of 403 tested at the null hypothesis:

This means that \(\mu = 403\)

A 10 bag sample had a mean of 411 grams with a variance of 121.

This means that \(n = 10, X = 411, \sigma = \sqrt{121} = 11\)

Value of the test statistic:

\(z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}\)

\(z = \frac{411 - 403}{\frac{11}{\sqrt{10}}}\)

\(z = 2.3\)

Pvalue:

Testing if the mean is different of a value, and z positive, which means that the pvalue is 2 multiplied by 1 subtracted by the pvalue of z = 2.3

Looking at the z-table, z = 2.3 has a pvalue of 0.9893

1 - 0.9893 = 0.0107

2*0.0107 = 0.0214

0.0214 > 0.01, which means that there is not sufficient evidence at the 0.01 level that the bags are underfilled or overfilled