How many, and what type of solutions, does 6x squared - 2x + 7 = 0 have

Answer:  Recommended to simplify to y=1/4x+3

y=2/8x+3

*Note slope may need to be simplified to (1/4 depends)

Step-by-step explanation: Formula y=mx+b

Slope  m=2/8 >>>>simplify to 1/4  up 1 over 4 (the x goes beside this)

Look on y-axis count up to the dot y=3

3x^2= -12

Divide each side by factors that do NOT contain the variable

This means X = +/- 2 (with imaginary number)

The regression line is yˆ = 4 + 1.891x , the coefficient of determination of two variables or the fraction of the variation in y that can be explained by the variation in the values of x is 0.51..

Here the fitted regression equation of y on x is

yˆ = 4 + 1.891x ---(*)

where, x --> Independent variable

yˆ --> predicted value of the dependent variable

Now, b₁ = slope cofficient = 1.891 ~ 1.91

(estimated from least squares method)

We have given that,

Standard deviations for X = 1.34 = sₓ say

Standard deviations for Y = 3.6 = sᵧ say

we know, b₁ = r₀( sₓ/sᵧ ) where ro is corr(X,Y)

=> 1.91 = r₀ (3.6/1.34)

=> 1.91×1.34/ 3.6 = r₀

=> r₀ = 0.71944

Defining, R² = cofficient of determination of two variables = Proportion of variation in Y , explained by the variation in the value of X, through the regression model.

= (r₀)² = (0.71944)² = 0.505442

R² = 0.505442 ~ 0.51 (in two decimals)

Hence, the cofficient of determination is 0.51..

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Complete question:

Using your favorite statistics software package, you generate a scatter plot which displays a linear form. You find a regression equation and the standard deviation for both variables. The standard deviation for x is 1.34 , and the standard deviation for y is 3.6 . The regression equation is reported as y = 4 + 1.891x . What fraction of the variation in y can be explained by the variation in the values of x? (Enter your answer as a decimal between 1 and 2.)

Answer:

21

Step-by-step explanation:

y=6 and x=9.

5y – x

= 5(6) – 9

= 30 – 9

= 21

i hope this helped

Answer:

250 / 50 = 5

300 / 50 = 6

Step-by-step explanation:

The greatest common factor of 250 and 300 is 50

The greatest common factor is the greatest factor that divides both numbers. To find the greatest common factor, first list the prime factors of each number.

Given here: The numbers as 250 and 350

Steps to find GCF

Find the prime factorization of 250

250 = 2 × 5 × 5 × 5

Find the prime factorization of 300

300 = 2 × 2 × 3 × 5 × 5

To find the GCF, multiply all the prime factors common to both numbers

Hence, GCF = 2 × 5 × 5  GCF = 50

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The slope the lines in the given functions are -1/3, 7, 0.4 and -3

The is the ratio of the rise to run of the graph or the ratio of change in y- coordinate to the change in the x-coordinate.

The formula of slope is given as;

m = y₂ - y₁ / x₂ - x₁

1)

The points are

Applying the formula of slope of a line

m = -6 - (-5) / 6 - 3)

m = -6 + 5 / 3

m = -1/3

slope is - 1/3

2) The equation 7x + 2 is a linear equation which is modeled as y = mx + c

where m is the slope and c is the y - intercept

The slope of the linear equation y = 7x + 2 is 7

slope is 7

5) Using the formula of slope of a line

m = y₂ - y₁ / x₂ - x₁

m = 5.5 - 3.5 / 9.5 - 4.5

m = 0.4

Slope is 0.4

6) The linear function y = -3x - 4

Comparing the function with y = mx + c

The slope is -3

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Answer:

[tex]S_{\infty}=-\dfrac{625}{396}[/tex]

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{5.5 cm}\underline{Sum of an infinite geometric series}\\\\$S_{\infty}=\dfrac{a}{1-r}$\\\\where:\\\phantom{ww}$\bullet$ $a$ is the first term. \\ \phantom{ww}$\bullet$ $r$ is the common ratio.\\\end{minipage}}[/tex]

Given geometric series:

[tex]-\dfrac{125}{36}+\dfrac{25}{6}-5+6-...[/tex]

To find the common ratio, divide a term by the previous term:

[tex]\implies r=\dfrac{a_4}{a_3}=-\dfrac{6}{5}[/tex]

Substitute the found common ratio and given first term into the sum formula:

[tex]\implies S_{\infty}=\dfrac{-\frac{125}{36}}{1-\left(-\frac{6}{5}\right)}[/tex]

[tex]\implies S_{\infty}=\dfrac{-\frac{125}{36}}{1+\frac{6}{5}}[/tex]

[tex]\implies S_{\infty}=\dfrac{-\frac{125}{36}}{\frac{11}{5}}[/tex]

[tex]\implies S_{\infty}=-\dfrac{125}{36} \times\dfrac{5}{11}[/tex]

[tex]\implies S_{\infty}=-\dfrac{625}{396}[/tex]

Answer:

So, in the expression 7 + 6X5-2, we must first multiply 6 and 5, which gives 30. Then we must add 7 and 30, which gives 37. Finally, we must subtract 2 from 37, which gives a final score of 35.

Therefore, the expression 7 + 6X5-2 is equal to 37-2. The correct answer is D) 37-2.

The accumulated value of an investment of $4,000 at 5% compounded semiannually for 8 years is $5,938.02.

When you add the interest you have already earned back into your principal balance, you are earning compound interest, which increases your profits.

Compound interest, also known as interest on principal and interest, is the practise of adding interest to the principal amount of a loan or deposit.

Given:

Investment amount= $4000

Rate of Interest, R= 5%

Time= 8 years semiannually

So, r = R/100

r = 5/100

r = 0.05 rate per year,

Then solve the equation for A

A = P[tex](1 + r/n)^{nt[/tex]

A = 4,000.00[tex](1 + 0.05/2)^{(2)(8)[/tex]

A = 4,000.00[tex](1 + 0.025)^{(16)[/tex]

A = $5,938.02

Hence, the accumulated value of an investment is $5,938.02.

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Answer:

23/16?

Step-by-step explanation:

23/16 + 1/16 = 3/2

Answer:

You had it right, now all you have to do it add 18 and 30 and 4 and 3 and you should get your answer, than you take the answer and write 48r+7w=55rw

Step-by-step explanation:

I added 18, 30, 4, and 3. I got 48 for the 18 and 30 and 7 for the 4 and 3

Answer:

2

Step-by-step explanation:

To determine the multiplicative inverse of a number, we use the following rule: The multiplicative inverse of a number a/b is b/a.

On solving the providewd question we can say that, public static double solve(double a, double b, double c, boolean flag )

A quadratic equation is a quadratic polynomial in one variable that looks like this: x = ax2 + bx + c. a 0. This polynomial has at least one solution since it is a second-order polynomial, according to the Fundamental Theorem of Algebra. The answer can actually work or be difficult.

public static double solve(double a, double b, double c, boolean flag)

{     double d = Math.sqrt(b*b - 4*a*c);     if(flag)

{         return (-b + d) / (2*a);     }

else {         return (-b - d) / (2*a);     } }

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Answer:

First of all u need to find the rectangle area then subtract the area of three triangles.

step1 : 3×4=12

step2: 1×4/2 + 2×3/2 + 3×1/2 = 6.5

Answer = 12 - 6.5 = 5.5

Answer:

Daily fee is $13.75, and the mileage charge is $0.37.

Answer: n = 6 or n = -3

Step-by-step explanation:

n(n-3)=18

n^2 - 3n = 18

n^2 - 3n - 18 = 0

n = 6 or n = -3

The equation that has the same solution as − 16 ⁢p + 37 = 49 − 21 ⁢p is (3/2)p - 5 + (9/4)p = 7 - (5/4)p thus option (C) is correct.

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

More than one variable may be present inside a linear equation.

As per the given equation,

− 16 ⁢p + 37 = 49 − 21 ⁢p

-16p + 21p = 49 - 37

5p = 12

p = 12/5 = 2.4

In the equation,(3/2)p - 5 + (9/4)p = 7 - (5/4)p

(3/2)p + (9/4)p + (5/4)p = 7 + 5

5p = 12

p = 2.4

Hence "The equation (3/2)p - 5 + (9/4)p = 7 - (5/4)p has the same solution as  − 16 ⁢p + 37 = 49 − 21 ⁢p ".

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a. The value of 32.68-4.15q when q = 0 is 32.68.

b. The value of 32.68-4.15q when q = 10 is -8.82

c. The value of 32.68-4.15q when q = -3 is 45.13.

What is an expression?

Unknown variables, integers, and arithmetic operators are the components of an algebraic expression. There are no symbols for equality or inequality in it.

Given expression is 32.68-4.15q

Putting q = 0 in the given expression:

32.68-4.15 × 0

= 32.68

Putting q = 10 in the given expression:

32.68-4.15 × 10

=32.68 - 41.5

=-8.82

Putting q = -3 in the given expression:

32.68 - 4.15 × (-3)

=32.68 +12.45

=45.13

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Answer:

Your answer is 6.

Step-by-step explanation:

If this is correct can i get branilest? Hope this helps :)

The powers is 5 - 1/2³.

Exponents and powers can be used to represent extremely big or extremely small numbers in a more straightforward fashion.

The number of times a number has been multiplied by itself is referred to as an exponent.

Given:

(5 - [tex]2^{-3}[/tex])

As, we know that

[tex]a^{-m[/tex] = 1/ [tex]a^m[/tex]

Then, (5 - [tex]2^{-3}[/tex])

= 5 - 1/2³

= 5-1/8

= 40-1/8

= 39/8

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The Translation of attached question is

Make the following powers

The correct option is (a)

As x ⇒ ∞, f(x) ⇒ -∞ and As x ⇒ -∞, f(x) ⇒ ∞.

What is Polynomial function ?

The terms poly and nomial combine to form the word polynomial. We can define polynomials as "algebraic expressions with many terms" because "poly" means many and "nomial" denotes the term.

Given : f(x)= -2x^3 +3x^2 +2x -1

In order to determine the end behavior of the polynomial function, we are required to check the highest degree of the polynomial and the coefficient of the term which has highest degree.

Here, The highest degree of the polynomial is 3 and the coefficient of the term which has highest degree is -2.

Since, the coefficient is negative, the graph will move right down which means as x ⇒ ∞, f(x) ⇒ -∞.

Similarly, the degree is odd which states that the sign will be opposite of what the coefficient has. So,  As x ⇒ -∞, f(x) ⇒ ∞.

Hence, As x ⇒ ∞, f(x) ⇒ -∞ and As x ⇒ -∞, f(x) ⇒ ∞.

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Answer:

5 1/12 hours

Step-by-step explanation:

You need a common denominator and that would be 12

1 [tex]\frac{9}{12}[/tex]       ([tex]\frac{3}{4}[/tex] x [tex]\frac{3}{3}[/tex]) another name for [tex]\frac{3}{3}[/tex] is 1.  You are making an equivalent fraction

2 [tex]\frac{6}{12}[/tex]      ([tex]\frac{1}{2}[/tex] x [tex]\frac{6}{6}[/tex])

[tex]\frac{10}{12}[/tex]          ([tex]\frac{5}{6}[/tex] x [tex]\frac{2}{2}[/tex])

1 [tex]\frac{9}{12}[/tex] + 2 [tex]\frac{6}{12}[/tex] + [tex]\frac{10}{12}[/tex] = 3 [tex]\frac{25}{12}[/tex]

I can break [tex]\frac{25}{12}[/tex] into [tex]\frac{12}{12}[/tex] + [tex]\frac{12}{12}[/tex] + [tex]\frac{1}{12}[/tex]  Another name for [tex]\frac{12}{12}[/tex] is 1

3 + 1 + 1 + [tex]\frac{1}{12}[/tex]

5 [tex]\frac{1}{12}[/tex]

By using properties of quadrilateral, it can be concluded that-

Square describes the quadrilateral STUV

What is a quadrilateral?

Quadrilateral is a two dimensional four sided figure.

Here the properties of quadrilateral STUV is

Pair of opposite sides are parallel

Diagonals are congruent.

In a parallelogram, the  pair of opposite sides are parallel but diagonals are not congruent

Triangle is not a  quadrilateral

In Rhombus, the  pair of opposite sides are parallel but the diagonals are not congruent

In square, the pair of opposite sides are parallel and the diagonals are congruent

In Trapezoid, one pair of opposite sides are parallel and one pair of opposite sides are non parallel.

So Square describes the quadrilateral STUV

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geometric progression with  common ratio 2.

so,  f(t) = 100 x [tex]2^t[/tex] be an equation to model the situation.

Given :

starting with 100 cells.

a=100

r = 2

a certain single-cell organism doubles every hour

f(t) is the number of organisms and t is time in hours.

f(t) = 100 x [tex]2^t[/tex]

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Your deposit must be returned by the landlord within 30 days, less any sum subtracted for damages.

To maximize their earnings, landlords set the rent on rental properties at market rates. Should they... Your reported income plays a big part in how much rent you will have to pay.

3% of the existing rent or the local Consumer Price Index (CPI), whichever is higher, is the maximum increase in rent that the landlord is permitted to make once every 12 months. The requirements of California Tenant Protection Act (AB1482) are expressly applicable to rent hikes.

A renter may be evicted even without a lease. Considering that there isn't a lease or rental agreement, a landlord or property management is free to evict a renter for any reason. The sole need under law would be that the renter being evicted receive a formal notice before being removed.

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Using statistics we know that the mean value is 5.6 years, and the standard error is 0.4478.

The gathering, characterization, analysis, and drawing of inferences from quantitative data are all tasks that fall under the purview of statistics, a subfield of applied mathematics.

Probability theory, linear algebra, and differential and integral calculus play major roles in the mathematical theories underlying statistics.

So, we have:

μ = 5.6

σ = 1.9

n =  18

Figuring out each sample's mean:

Therefore, the population means itself serves as the best estimator of the sample mean.

μₓ = μ = 5.6

The sample mean is 5.6 years as a result.

Estimating the standard deviation:

By using the formula:

Standard error = σ/√n

Given that the samples are of size n = 18 and the standard deviation is = 1.9:

Standard error = 1.9/√18 = 0.4478

Therefore, using statistics we know that the mean value is 5.6 years, and the standard error is 0.4478.

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Complete question:
The amount of time employees of a telecommunications company have worked for the company is normally distributed with a mean of 5.6 years and a standard deviation of 1.9 years. Random samples of size 18 are drawn from the population and the mean of each sample is determined. Find the mean and the standard error.

The Volume of the given figure is 264 cubic units

What is Volume?

Volume is a measurement of three-dimensional space that is occupied. It is frequently mathematically quantified using SI-derived units or different imperial or US customary units. The concept of length is linked to the definition of volume.

Solution:

Volume of Cuboid = Length * Breadth * Height

Volume of Cuboid 1 = 8*5*5 = 200 cubic units

Volume of Cuboid 2 = 8*8*1 = 64 cubic units

Total Volume = 200 + 64 = 264 cubic units

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Answer:

(y2-y1)/(x2/x1)

Step-by-step explanation:

Well uh I hope you get it

Well, the diameter and circumference scale perfectly. Therefore, the ratio will remain the same regardless of how big or tiny the circle is. For all circles, circumference is equal to x diameter. There are no exceptions because this is the definition of.

Give an example of diameter.

If you look at the cycle wheel, the spikes that run through the center from one end to the other are an illustration of diameter. This is comparable to a circle's diameter, which is a line segment that extends from one end of the circle to the other end while passing through the center.

What is a circle's circumference?

A circle's diameter is multiplied by to determine its circumference (pi). You can also determine the circumference by multiplying 2radius by pi (=3.14).

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The correct answer is D. Analysis of variance (ANOVA). To compare the means of three samples -- perhaps three experimental treatments -- we should use ANOVA Test.

ANOVA is a statistical test that is used to compare the means of two or more samples. It can be used to determine whether there is a significant difference between the means of the samples, and to identify which samples are significantly different from one another.

A pooled variance t-test is a statistical test that is used to compare the means of two samples, assuming that the variances of the two samples are equal. This test is not suitable for comparing the means of three or more samples.

A separate variance t-test is a statistical test that is used to compare the means of two samples, assuming that the variances of the two samples are not equal. This test is also not suitable for comparing the means of three or more samples.

A z-test of difference of means is a statistical test that is used to compare the means of two independent samples. It is not suitable for comparing the means of three or more samples.

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