Fiona’s family is replacing the carpet in the living room the living room is in the shape of a square the length of one wall is 16 feet how many square feet of carpet does Fiona‘s family need to buy to replace their old carpet

There are 2 real solutions for the quadratic equation y=x²+4x-6​.

A second-order polynomial equation in one variable, x, using the formula ax2+bx+c=0, is known as a quadratic equation. A polynomial of degree two in one or more variables in mathematics is known as a quadratic polynomial. Any polynomial function that is defined by a quadratic polynomial is said to be quadratic. The terms "quadratic polynomial" and "quadratic function" were practically interchangeable until the 20th century since it was difficult to tell a polynomial from its corresponding polynomial function.  A quadratic function with only one variable, for instance, has the following form:

The quadratic equation presented is y=x²+4x-6

We must ascertain how many possible solutions exist for this function.

x²+4x-6.

x²+4x-6=0

= (-4±√16-4(1)(-6))/2

=(-4±√-40)/2

= -2±10

Therefore, there are 2 real solutions for the quadratic equation

y=x²+4x - 6​.

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Step-by-step explanation:

স্বদেশী আন্দোলনৰ তিনি টা অৱদান উল্লেখ কৰা

Answer:

(14,-8)

Step-by-step explanation:

Given (6,-1),

Translating (6,-1) 8 units right and 7 units down,

(6,-1)

=(6+8,-1-7)

=(14,-8)

Please mark brainliest.

Step-by-step explanation:

I hope this helps out bye.

Answer:

d

Step-by-step explanation:

You are asking a question trying to suggest whether it can be done later

Answer:

A.

Step-by-step explanation:

The equation for slope intercept form is simply

y = mx + b

in your problem m = -1/3

and b which is the y intercept = to 8/3

So A. is the answer

Hope this helps!

Answer:

C. SUBTRACT (2x) from both sides in the bottom equation

Step-by-step explanation:

Given

\(3x - 6y = -12\)

\(2x + y = 12\)

Required

The first step of a substitution method

In the second equation, notice that the coefficient of y is 1.

So, the first step is to make y the subject of the formula.

This is achieved by subtracting 2x from both sides of the equation.

\(2x + y = 12\)

\(2x - 2x + y = 12 - 2x\)

\(y = 12 - 2x\)

Hence: (c) is true

Answer:

22° + m<C = 90°

Step-by-step explanation:

We are given that <A (which is equal to 22°) and <B are vertical angles, and that <B is complementary to <C.

We want to write an equation that will help us solve <C.

Recall that vertical angles are congruent by vertical angles theorem.

This means that <A ≅ <B; it also means that the measure of <B is also 22°.

Also recall that complementary angles add up to 90°.

This means that m<B + m<C = 90°.

Since we deduced that m<B is 22°, we can substitute that value into the equation.

Hence, an equation that can be used to solve for <C is:

22° + m<C = 90°

Answer:

3600ft.

Step-by-step explanation:

12blocks x 50ft/block = 600 feet/5min.

30min/5min = 6

600 x 6 = 3600 ft.

Answer:

The 10th percentile is 66.42.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

X ~ N(70, 14).

This means that \(\mu = 70, \sigma = 14\)

Suppose that you form random samples of 25 from this distribution.

This means that \(n = 25, s = \frac{14}{\sqrt{25}} = 2.8\)

Find the 10th percentile.

This is X when Z has a pvalue of 0.1, so X when Z = -1.28.

\(Z = \frac{X - \mu}{\sigma}\)

By the Central Limit Theorem

\(Z = \frac{X - \mu}{s}\)

\(-1.28 = \frac{X - 70}{2.8}\)

\(X - 70 = -1.28*2.8\)

\(X = 66.42\)

The 10th percentile is 66.42.

Answer:

\((\frac{1}{2}+\frac{\sqrt{3}}{2}i)^5=\frac{1}{2}-\frac{\sqrt{3}}{2}i\)

Step-by-step explanation:

Convert 1/2 + i√3/2 to rectangular form

\(\displaystyle z=a+bi=\frac{1}{2}+\frac{\sqrt{3}}{2}i\\\\r=\sqrt{a^2+b^2}=\sqrt{\biggr(\frac{1}{2}\biggr)^2+\biggr(\frac{\sqrt{3}}{2}\biggr)^2}=\sqrt{\frac{1}{4}+\frac{3}{4}}=\sqrt{1}=1\\\\\theta=\tan^{-1}\biggr(\frac{b}{a}\biggr)=\tan^{-1}\biggr(\frac{\frac{\sqrt{3}}{2}}{\frac{1}{2}}\biggr)=\tan^{-1}(\sqrt{3})=\frac{\pi}{3}\\\\z=\cos\frac{\pi}{3}+i\sin\frac{\pi}{3}\)

Use DeMoivre's Theorem

\(\displaystyle z^n=r^n(\cos(n\theta)+i\sin(n\theta))\\\\z^5=1^5\biggr(\cos\biggr(\frac{5\pi}{3}\biggr)+i\sin\biggr(\frac{5\pi}{3}\biggr)\biggr)\\\\z^5=\frac{1}{2}-\frac{\sqrt{3}}{2}i\)

Answer:

1 first shade third shade

Answer:

-1/3

Step-by-step explanation:

Answer:

Step-by-step explanation:

-1/3

Answer:

(C) Multiply first equation by -2 and second equation by 3, solution (1, 1)

Step-by-step explanation:

Simultaneous equations are set of equations which possess a common solution. The equations can be solved by eliminating one of the unknowns by multiplying each of the equations in a way that a common coefficient is obtained in the unknown to be eliminated.

Given the simultaneous equations:

3x - 5y = -2

2x + y = 3

First step:

Multiply first equation by -2 and multiply second equation by 3,

-6x + 10y = 4

6x + 3y = 9

Second step:

Add the two equations together,

13y = 13

Divide both sides by 13

y = 1

Third step:

Put y = 1 in the first equation

3x - 5(1) = -2

3x - 5 = -2

3x = 5 - 2

3x = 3

Divide both sides by 3:

x = 1

solution (x,y) = (1,1)

Option C

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\(x^{2} +8x+m=0\)

\(8^{2} - 4m > 0 \iff 4m < 64\)

\(\implies m < 16\)

\(m \in (-\infty,16)\)

According to the skewness of each data-set, the first histogram has a mean greater than the median.

In this problem, for the mean greater than the median, we want a right-skewed data, which is given by the first histogram.

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Answer:

B

Step-by-step explanation:

took test

Summary: The solution to the equation (x - 3)(x + 9) = -27 is x = 0 and x = -6.

The linear equation that satisfy the data in the table is: A. y = −4x − 4.

Given the table attached below, find the slope (m) = change in y / change in x using two pairs of values, say, (-1, 0) and (0, -4):

Slope (m) = (-4 - 0)/(0 - (-1)) = -4/1 = -4

Find the y-intercept (b), which is the value of y when x = 0. From the table, when x = 0, y = -4.

b = -4.

Substitute m = -4 and b = -4 into y = mx + b

y = -4x + (-4)

y = -4x - 4

The equation that satisfy the data is: A. y = −4x − 4.

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Answer:

6 friends can share the pizza

Step-by-step explanation:

1 1/2 ÷ 1/4 =6

Answer:

Divide 1 1/2 by 1/4. Note that 1 1/2 = 1 2/4 = 6/4. So now we divide 6/4 by 1/4, obtaining 6.

6 friends can enjoy an equal share.

A 90% and 95% confidence interval estimate of population mean of $125 and a standard deviation of $!7.90

for confidence level 90%

for confidence level 95%

The results means that there is 90% chance of the price of the home theatre falling within 121.03 to 128.97 and the width is smaller at 7.94. Also, 95% chance of the price falling within 120.27 to 129.73 wider at 9.46

Confidence interval gives the probability that the unknown parameter will fall within a stated range

The confidence interval is constructed using the formula

confidence interval = μ ± z(σ/√n)

Definition of variables

mean, μ  = $125.00

standard deviation, σ = $17.90

sample size, n = 55

z =  z score

z score for confidence level 90% = 1.645

z score for confidence level 95% = 1.96

substituting into the formula

for confidence level 90%

= μ ± z(σ/√n)

= 125 ± 1.645 (17.90/√55)

= 121.03 < μ < 128.97

the width = 128.97 - 121.03 = 7.94

for confidence level 95%

= 125 ± 1.96 (17.90/√55)

= 120.27 < μ < 129.73

the width = 129.73 - 120.27 = 9.46

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To determine when the total cost of each health club will be the same, we can set up an equation and solve for the number of months.

Let's assume the number of months is represented by 'x'.

For Club A, the total cost is given by:

Total cost of Club A = $13 (one-time fee) + $28x (monthly fee)

For Club B, the total cost is given by:

Total cost of Club B = $19 (one-time fee) + $27x (monthly fee)

To find the number of months when the total cost is the same, we set the two equations equal to each other:

$13 + $28x = $19 + $27x

Simplifying the equation, we get:

$28x - $27x = $19 - $13

$x = 6

Therefore, after 6 months, the total cost of each health club will be the same.

To find the total cost for each club after 6 months, we substitute the value of 'x' back into the equations:

Total cost of Club A after 6 months = $13 + $28(6) = $13 + $168 = $181

Total cost of Club B after 6 months = $19 + $27(6) = $19 + $162 = $181

So, the total cost for both Club A and Club B will be $181 after 6 months.

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The included angle of one triangle are congruent to the corresponding parts of the other triangle. Since the sides AD and BE are congruent, as well as the included angle DAB and CBA, then △ADE≅△BCE.

By the Side-Angle-Side (SAS) congruence theorem, if two sides and the included angle of one triangle are congruent to the corresponding parts of the other triangle, then the triangles are congruent. In this proof, the given statements provide that the sides AE and EB are congruent, as well as the angles DAB and CBA. This means that the two corresponding sides of the triangles △ADE and △BCE are congruent, and the included angles of the triangles are also congruent. Therefore, according to the SAS congruence theorem, the two triangles are congruent, and thus △ADE≅△BCE.

The SAS congruence theorem applies to any two triangles, regardless of the size or shape of the triangles. The congruence of the sides and angles is sufficient to prove that two triangles are congruent. This theorem can be used to prove other theorems, such as the Triangle Sum Theorem, which states that the sum of the angles in a triangle is equal to 180 degrees. To prove this theorem, one could use the SAS congruence theorem to show that two right triangles are congruent, and then use the congruent angles to prove that the sum of the angles in a triangle is 180 degrees.

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Answer:

\(the \: porpcon \: intercept, \: p = (0, \: 5) \\ the \: drink \: intercept, \: p = (2.5, \: 0)\)

Step-by-step explanation:

\(let \: the \: price \: of \: each \: popcorn \: be : p \\ let \: the \: price \: of \: each \:drink \: be : d \\ \\ p = 5 \\ d = \frac{5}{2} = 2.5 \\ \\ explanation : \\ the \:p - intercept \: is \: the \: point \: were \: the \: line \: crosses \: the \: p - axis. \\ the \:d - intercept \: is \: the \: point \: were \: the \: line \: crosses \: the \: d - axis. \\ \\ \\ i \: believe \: with \: these \: information \:you \: can \: plot \: clear \: graph \: \)

The transformation illustrated in the figure is translation.

Translation is a Transformation process in which the size or shape of a figure is not changed rather it only changes the coordinates of the vertices that make up that shape by moving them from one point to another.

Analysis:

Both shapes are congruent, since all the vertices remain in their respective positions even though they were moved and no change in the shape or size, then the transformation process is Translation.

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The order of the graphs from largest to lowest correlation coefficients is:

Graph D, Graph A, graph C, graph B.

The correlation coefficient between two variables is a coefficient that tells us "how much" these variables relate.

So, in the case for linear correlation, as "more linear" the data appears to be, a large correlation is between the two variables.

With that in mind, we conclude that the order of the graphs (going for larger correlation coefficient to smaller correlation coefficient) is:

Graph D, Graph A, graph C, graph B.

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Answer:

there are 3000 meters in 3 kilometres

Answer:

C. 3,000 m

Step-by-step explanation:

There are 1,000 meters in one kilometer, so 3 times 1,000. This gets you 3,000.

There are 72 different meals that you can get for $3.98

We know that for $3.98 you can get a salad, a main course, and a dessert at the cafeteria.

The total number of different meals that you can get, is equal to the product between the number of options for each one of the selections, such that the selections (and correspondent options) are:

Then the total number of different meals is:

M = 3*4*6

M = 72

That is the number of different meals.

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