One way of solving systems of linear equations is by adding a multiple of one equation to the other. The multiplier for the first equation is chosen so that one of the two variables will cancel out in the sum. What should you multiply the equation y=0 y=0 by so that when added to x+y=40 x+y=40 the variable y yy will cancel out?

Answer:

slope = 4

The line is increasing

Step-by-step explanation:

slope can be found through the equation \(\frac{y_{2} -y_{1}}{x_{2}-x_{1}}\). So, if we plug these points in, we get \(\frac{7-3}{8-7}\), which simplifies to 4. So, the slope is 4.

Since the slope is positive, the line is increasing.

Answer:\(10n^{2}\)+180

Step-by-step explanation:

Answer:

E

Step-by-step explanation:

When the table shows the proof of the relationship between the slopes of two perpendicular lines, the missing statement in step 2 is AB/CE = ED/BC.

In this question you apply the side-Angle-side similarity property that makes the two right triangles similar.

In this property, the lengths of the corresponding legs of the two right triangles are proportional.

Therefore, Leg AB corresponds to leg CE

Leg ED corresponds to leg BC.

Therefore, it should be noted that AB/CE = ED/BC.

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The table shows the proof of the relationship between the slopes of two perpendicular lines. What is the missing statement in step 2?

A. AB/BC = ED/CE

B. AB/CE = BE/ED

C. AB/BC = CE/ED

D. AB/CE = ED/BC

To verify if the relation is a function, it must be verified if from each value of x only one arrow departs.

A relation represents a function when each input value is mapped to a single output value.

In mapping notation, with the arrows, it must be verified if there is no input from which more than one arrow departs.

The problem is incomplete, hence the general procedure to verify if the relation is a function was presented.

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3 Since the smaller photo has a decrement ratio of roughly $3 to $6, it would be half as tall in Diagram 1, making it 2 inches wide. For Diagram 1, the height is 6 for the usual photo, therefore each one has to be 3 inches high.

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Answer:

Step-by-step explanation:

For the null hypothesis,

p = 0.35

For the alternative hypothesis,

P > 0.35

Since the z score is given as z = 1.82, we would find the probability value by determining the area above the z score from the normal distribution table. The required probability value is

1 - 0.966 = 0.034

Assuming alpha = 0.05,

Since alpha, 0.05 > than the p value, 0.034, then we would reject the null hypothesis. Therefore, the correct option is

At significance level of 5%,

There is enough evidence to show that more than 35% of community college students own a smart phone (P-value = 0.034).

Answer: \(5x^3 - x^2 + 5x+2\)

Step-by-step explanation:

\((f+g)(x)=(3x^2 + 5x-2)+(5x^3 - 4x^2 +4)=3x^2 + 5x-2+5x^3 - 4x^2 +4=\boxed{5x^3 - x^2 + 5x+2}\)

Answer:

y = x + 1

Step-by-step explanation:

Parallel lines have same slope.

y = x - 1

Compare with the equation of line in slope y-intercept form: y = mx +b

Here, m is the slope and b is the y-intercept.

m =1

Now, the equation is,

         y = x + b

The required line passes through (-3 ,-2). Substitute in the above equation and find y-intercept,

        -2 = -3 + b

  -2 + 3 = b

         \(\boxed{b= 1}\)

    Equation of line in slope-intercept form:

                  \(\boxed{\bf y = x + 1}\)      

The equation is :

Solution:

If two lines are parallel to each other, then their slopes are equal. The slope of y = x - 1 is 1. Hence, the slope of the line that is parallel to that line is 1.

We shouldn't forget about a point on the line : (-3, -2).

I plug that into a point-slope which is :

\(\sf{y-y_1=m(x-x_1)}\)

Slope is 1 so

\(\sf{y-y_1=1(x-x_1)}\)

Simplify

\(\sf{y-y_1=x-x_1}\)

Now I plug in the other numbers.

-3 and -2 are x and y, respectively.

\(\sf{y-(-2)=x-(-3)}\)

Simplify

\(\sf{y+2=x+3}\)

We're almost there, the objective is to have an equation in y = mx + b form.

So now I subtract 2 from each side

\(\sf{y=x+1}\)

Answer:

\(x=70\)

General Formulas and Concepts:

Pre-Alg

Step-by-step explanation:

Step 1: Define equation

\(\frac{0.35}{\frac{2}{3}x } =\frac{0.45}{x-10}\)

Step 2: Solve for x

Step 3: Check

Plug in x to verify it's a solution.

Answer:

70

Step-by-step explanation:

Cross multiply. 0.3x=0.35x-3.5. Subtract 0.35x to get -0.05x=-3.5. Multiply by -1 to get 0.05x=3.5. And (5/100)x=7/2. Divide by 5/100 to get 700/10=70.

Answer: 1.5

mean: 104

S.D: 6

110-104/6=1.5

Answer:

4

Step-by-step explanation:

What you will need to do is add 4

the 2 to the other 2 which will get you 4

Answer:

4

Step-by-step explanation:

1+1 equal 2

2+2 equal 4

kkwiwoasnab. ajakhahakakaiahahhahaa

Answer:

ay

Step-by-step explanation: step by step

Answer:

multiply both sides by 2

Step-by-step explanation:

you mtiply because you are doing the opposite of division. the f and the 2 are being divided.

Answer: r=11

Step-by-step explanation:

A=πr^2

A=121π

121π=πr^2

r^2=121

r=11

Answer:

6;8

3;4 that the lowest that it can go. the equivalent is 6;8 but if you want to change it into decimal form you can divide by two which is 1.5;2 but the answer is 6;8 because 3;4 is already in it's lowest form, or is already simplified to it's maximum extent.

Answer:

Below

Step-by-step explanation:

Rate of change (aka the slope) = 2/5

Y Intercept = 10

Answer:

One leg: 3

So, the hypo: 2*3 = 6

And the third is according to the formula for right angle triangles: a^2 + b^ = c^2

So: √9+36= c

6.7 to get an exact number round it: 7

Answer:

sides are √3 ft,2√3 ft,3 ft

Step-by-step explanation:

let one leg=x

length of hypotenuse=2x

third side=3 ft

(2x)²=x²+3²

4x²-x²=9

3x²=9

x²=9/3=3

x=√3 ft

hypotenuse=2√3 ft

No, the trapezoids are not similar because their corresponding angles do not have the same measures.

The given trapezoids ABCD and EFGH can be analyzed to determine if they are similar. Similarity in geometric figures implies that their corresponding angles are congruent, and their corresponding sides are proportional.

Let's examine the angles of the trapezoids:

In trapezoid ABCD:

Angle A = 137 degrees

Angle B = 90 degrees

Angle C = 90 degrees

Angle D = 43 degrees

In trapezoid EFGH:

Angle E = 136 degrees

Angle F = 90 degrees

Angle G = 90 degrees

Angle H = 44 degrees

By comparing the angles, we can observe that angles B and F are both right angles (90 degrees) in both trapezoids. Additionally, angles C and G are also right angles (90 degrees) in both trapezoids.

However, angles A and E, as well as angles D and H, do not have the same measures. Angle A measures 137 degrees in trapezoid ABCD, while angle E measures 136 degrees in trapezoid EFGH. Similarly, angle D measures 43 degrees in trapezoid ABCD, while angle H measures 44 degrees in trapezoid EFGH.

Since the corresponding angles in the two trapezoids do not have the same measures, we can conclude that trapezoids ABCD and EFGH are not similar.

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Answer:

n=-13, n=12

Step-by-step explanation:

Answer: n = 12, -13

We have to isolate the variable by dividing each side by factors that don't contain the variable.

Answer: The answer is 146 :)

Step-by-step explanation: Took the test

Given statement solution is :- "F(g(x)) g(f(x))": The function F(x) is composed with g(x), and the result is further composed with g(f(x)).

"f(g(x)) g(f(x))": The function g(x) is composed with f(x), and the result is further composed with g(f(x)).

The expressions "F(g(x)) g(f(x))" and "f(g(x)) g(f(x))" are compositions of functions. The answer to the question posed would depend on the specific functions F(x) and g(x), as well as f(x) and g(x) in the second expression.

To provide a brief response:

For the expression "F(g(x)) g(f(x))": The function F(x) is composed with g(x), and the result is further composed with g(f(x)). The order of composition is F(g(x)) first, followed by g(f(x)).

For the expression "f(g(x)) g(f(x))": The function g(x) is composed with f(x), and the result is further composed with g(f(x)). The order of composition is f(g(x)) first, followed by g(f(x)).

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According to the question the option C is the correct answer that is 8 6/8 or 8 ¾ calculated by simplifying the fraction.

To represent a whole, every number of equal parts or fractions can be utilised. In standard English, fractions show how many units there are of a particular size. 8, 3/4. Fractions are part of a whole. In mathematics, numbers are stated as a ratio of a numerator to the denominator. They can all be expressed as simple fractions as integers. A fraction appears in a complex fraction's numerator or denominator. The numerators of true fractions are smaller than the denominators. A sum that is a fraction of a total is called a fraction. You can analyse something by dissecting it into smaller pieces. For instance, the number 12 is used to symbolise half of a whole number or object.

To add mixed numbers, we need to first convert any fractions to a common denominator. In this case, we can use 10 as the common denominator.

12 1/2 = 12 + 1/2 = 12 + 5/10 = 12 5/10

4 7/10 = 4 + 7/10

Now we can add the two mixed numbers:

12 5/10 + 4 7/10 = 16 12/10

Simplifying the fraction by dividing the numerator and denominator by their greatest common factor of 2, we get:

16 12/10 = 16 6/5

Therefore, the answer is C) 8 6/8 or 8 3/4.

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Answer:

NO

Step-by-step explanation:

They are not bc they are rotated and theyfore not the same exatly. The are similar NOT congruent.

a) The algebraic fraction \(\frac{{x + 2}}{{(x - 1)^2}}\) is proper. b) The algebraic fraction \(\frac{{4x^2 - 31x + 59}}{{(x - 4)^2}}\) can be expressed as \(-\frac{{31}}{{x - 4}} - \frac{{25}}{{(x - 4)^2}}\).

Let's solve each part step by step and determine whether the fraction is proper or improper, and then express it accordingly.

a) \(\frac{{x + 2}}{{(x - 1)^2}}\):

Step 1: Determine the degree of the numerator and the denominator:

  - Degree of the numerator = 1 (linear term)

  - Degree of the denominator = 2 (quadratic term)

Since the degree of the numerator is less than the degree of the denominator, the fraction is proper.

Step 2: Express the proper fraction in partial fractions:

\(\frac{{x + 2}}{{(x - 1)^2}} = \frac{A}{{x - 1}} + \frac{B}{{(x - 1)^2}}\).

Step 3: Find the values of A and B:

Multiply both sides of the equation by \(((x - 1)^2)\) to eliminate the denominators:

  (x + 2) = A(x - 1) + B.

Expand the equation and collect like terms:

  x + 2 = Ax - A + B.

Equate the coefficients of like terms:

  Coefficient of x: 1 = A.

  Constant term: 2 = -A + B.

Solve the system of equations to find the values of A and B:

From the coefficient of x, A = 1.

Substituting A = 1 into the constant term equation: 2 = -1 + B, we find B = 3.

Therefore, the partial fraction decomposition is:

  \(\frac{{x + 2}}{{(x - 1)^2}} = \frac{1}{{x - 1}} + \frac{3}{{(x - 1)^2}}\).

b) \(\frac{{4x^2 - 31x + 59}}{{(x - 4)^2}}\):

Step 1: Determine the degree of the numerator and the denominator:

  - Degree of the numerator = 2 (quadratic term)

  - Degree of the denominator = 2 (quadratic term)

Since the degree of the numerator is equal to the degree of the denominator, the fraction is proper.

Step 2: Express the proper fraction in partial fractions:

  \(\frac{{4x^2 - 31x + 59}}{{(x - 4)^2}} = \frac{A}{{x - 4}} + \frac{B}{{(x - 4)^2}}\).

Step 3: Find the values of A and B:

Multiply both sides of the equation by \(((x - 4)^2)\) to eliminate the denominators:

  (4x^2 - 31x + 59) = A(x - 4) + B.

Expand the equation and collect like terms:

  4x^2 - 31x + 59 = Ax - 4A + B.

Equate the coefficients of like terms:

Coefficient of \(x^2\): 4 = 0 (No \(x^2\) term on the right side).

Coefficient of x: -31 = A.

Constant term: 59 = -4A + B.

Solve the system of equations to find the values of A and B:

From the coefficient of x, A = -31.

Substituting A = -31 into the constant term equation: 59 = 4(31) + B, we find B = -25.

Therefore, the partial fraction decomposition is:

  \(\frac{{4x^2 - 31x + 59}}{{(x - 4)^2}} = -\frac{{31}}{{x - 4}} - \frac{{25}}{{(x - 4)^2}}\).

The above steps provide the solution for each part, including determining if the fraction is proper or improper and expressing it in partial fractions.

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Answer:

36

Step-by-step explanation:

largest share = 9parts = 108

1 part = 108÷9 = 12

smallest share = 3parts = 12×3 = 36

Answer:

B. \(\frac{1}{2}\)

Step-by-step explanation:

You can use the formula to find the slope: \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

(0,0) & (2,1) are points that lie on Line m

\(\frac{1-0}{2-0} =\\\\\frac{1}{2}\)

The slope of Line m is \(\frac{1}{2}\)