I NEED ANSWER TO THIS!! POINTS

Answer:

x = [tex]\frac{7}{2}[/tex] ± [tex]\frac{\sqrt{13} }{2}[/tex]

Step-by-step explanation:

Given

x² - 7x + 9 = 0 ( subtract 9 from both sides )

x² - 7x = - 9

Solve using the method of completing the square

add ( half the coefficient of the x- term)² to both sides

x² + 2( - [tex]\frac{7}{2}[/tex] )x + [tex]\frac{49}{4}[/tex] = - 9 +

(x - [tex]\frac{7}{2}[/tex] )² = [tex]\frac{13}{4}[/tex] ( take the square root of both sides )

x - [tex]\frac{7}{2}[/tex] = ± [tex]\sqrt{\frac{13}{4} }[/tex] = ± [tex]\frac{\sqrt{13} }{2}[/tex] ( add

x = [tex]\frac{7}{2}[/tex] ± [tex]\frac{\sqrt{13} }{2}[/tex] = [tex]\frac{7+/-\sqrt{13} }{2}[/tex]

Answer:

Using quadratic formula again :)

Answer:

3 Terms

Step-by-step explanation:

4x^5

-16x^2

13x^8

Answer:

C. 9

Step-by-step explanation:

11y-36=63

11y=99

y=9

Answer:

C) 9

Step-by-step explanation:

Because the two angles are vertical angles, they are congruent. Because they are congruent, their measures are equal:

11y - 36 = 63

Simplify:

11y - 36 = 63

11y = 99

y = 9

In question 5, we are given vectors u = (1, 2, -1) and v = (6, 4, 2) in R³. We need to find the linear combination of u and v that equals w = (-3, 2, -5), determine if the set {u, v} is linearly independent, and determine if {u, v} is a basis for R³.

o find the linear combination of u and v that equals w, we need to find scalars a and b such that au + bv = w. Substituting the given values, we have:

a(1, 2, -1) + b(6, 4, 2) = (-3, 2, -5)

Expanding this equation, we get the following system of equations:

a + 6b = -3

2a + 4b = 2

-a + 2b = -5

We can solve this system of equations to find the values of a and b, which will give us the linear combination of u and v that equals w.

To determine if the set {u, v} is linearly independent, we need to check if the only solution to the equation au + bv = 0 is a = b = 0. If there exist non-zero values of a and b that satisfy the equation, then the set is linearly dependent.

To determine if {u, v} is a basis for R³, we need to check if the set is linearly independent and spans R³. If the set is linearly independent and every vector in R³ can be expressed as a linear combination of u and v, then {u, v} is a basis for R³.

By solving the equations and analyzing the linear independence and span properties of the set {u, v}, we can provide clear explanations for each part of question 5.

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Statements are sentences that express a fact or proposition that can be either true or false.The statements are a and b.

a. "1,024 is the smallest four-digit number that is a perfect square." - This is a statement because it presents a specific fact that can be verified.

b. "She is a mathematics major." - This is a statement because it describes a person's academic major.

c. "128 = 26" - This is not a statement because it presents an incorrect equation.

d. "x = 26" - This is not a statement unless the value of x is specified. Without knowing the value of x, it is an equation rather than a statement.

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The utilization of the teller is approximately 53.33%.

To calculate the utilization of the teller, we need to compare the arrival rate and the service rate. The utilization represents the fraction of time the server (teller) is busy serving customers.

The arrival rate is given as 8 customers per hour, which means that, on average, 8 customers arrive at the teller's window in one hour. This follows a Poisson distribution.

The service rate is given as 15 customers per hour, indicating that, on average, the teller is able to serve 15 customers in one hour. The service times follow an exponential distribution.

Utilization is calculated as the ratio of the arrival rate to the service rate. In other words:

Utilization = Arrival rate / Service rate

Substituting the given values:

Utilization = 8 / 15 ≈ 0.5333

To express this as a percentage, we multiply the result by 100:

Utilization = 0.5333 * 100 ≈ 53.33%

Therefore, the utilization of the teller in this scenario is approximately 53.33%. This means that, on average, the teller is occupied serving customers about 53.33% of the time, and the remaining time is idle or available for serving new customers.

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Logo, text, rectangle, circle, and ellipse are all new graphic layer types. Each of these elements can be used in a variety of ways to create stunning Graphic designs.

In graphics design, there are several types of layers. Layers are the fundamental building blocks of digital graphic design and allow graphic designers to stack, move, and manipulate visual elements. They enable users to manipulate individual components of an image without altering other areas. Which is a new graphic layer type? Here are three new graphic layer types:

LogoA logo is a unique graphical representation of an individual, business, or organization. It is often referred to as a symbol. Logos are frequently seen on websites, billboards, and other promotional materials.TextIn digital graphic design, text is an important element.

Text is a fundamental component of many designs, and it is used to convey messages and information. Because text is so common in graphic design, it has its own layer type.RectangleA rectangle is a geometric shape that is widely used in graphic design.

Rectangles can be used to create borders, frames, and dividers, among other things. They can also be used to highlight text, logos, and other design elements.

CirclesA circle is another popular geometric shape in graphic design. Circles can be used in design to create visual interest and balance. They can be used to highlight text or logos, and they can also be used to create frames or borders.

EllipseAn ellipse is a more complex version of a circle. It is an oval shape that can be used to create visual interest and balance in designs. It can be used to highlight text, logos, and other design elements. It can also be used to create frames, borders, and other shapes.

In summary, Logo, text, rectangle, circle, and ellipse are all new graphic layer types. Each of these elements can be used in a variety of ways to create stunning graphic designs.

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Answer:

a = -1

Step-by-step explanation:

-2 (3a-2)=(7-3a)

-6a+4=7-3a

-6a+3a=7-4

-3a=3

a=3/-3

a= -1

value of a is -1

Answer:

76 degrees

Step-by-step explanation:

JK=KL and their angles are equal hence <KJL and <KLJ are the same.

sum of angle in triangles is 180 degrees.

x°+x° +28°=180°

x= 76 degrees

Answer:

see explanation

Step-by-step explanation:

To find the first 3 terms, substitute n = 1, 2, 3 into the n th term formula, that is

n = 1 : 1 - 4 = - 3

n = 2 : 2 - 4 = - 2

n = 3 : 3 - 4 = - 1

The first 3 terms are - 3, - 2, - 1

Similarly find the tenth term by substituting n = 10 into the formula

10 - 4 = 6

The tenth term is 6

Answer:

Step-by-step explanation:

Given:

WT║XV

∠XWT ≅ ∠ZVR

To prove:

XY║VZ

               Statements                           Reasons

1). WT║XV, ∠XWT ≅ ∠ZVR            1). Given

2). ∠XWT ≅ ∠YXV                          2). Corresponding angles

3). ∠YXV ≅ ∠ZVR                           3). Transitive property of equality

4). XY║VZ                                       4). Corresponding angles converse

Answer:

Step-by-step explanation:

12n+ 15= t

Answer:

You will have to work 361 hours

Step-by-step explanation:

Create an equation: 100+28(x)=10,220

Parentheses: 100+28x=10,220

Subtraction property of equality(Subtract 100 from 10,220): 28x=10,120

Division property of equality(divide 28 from 10,120): x=361

Answer: Should be 140000 cm

Step-by-step explanation:I may be wrong but 240 x 5 is 1400 and that to cm is 140000

Answer:

60,000 cm

Step-by-step explanation:

1 m = 100 cm

So, 120 m = 12,000 cm.

120 m (5 times) = 600 m

600 m = 100 (600)

            = 60,000 cm

Answer:

z=12

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Move all terms not containing z to the right side of the equation.

z - 4 = 8

+4     +4

z = 12

Hope this helps ^^

Answer:

3x10^23

Step-by-step explanation:

thats what i got on my calculator

Answer:

[tex]3 \times {10}^{14} [/tex]

Step-by-step explanation:

[tex] \frac{1.14 \times {10}^{7} }{3.8 \times {10}^{ - 7} } \\ = 3 \times {10}^{7 - ( - 7)} \\ = 3 \times {10}^{7 + 7} \\ = 3 \times {10}^{14} [/tex]

To determine the new IS relation after a decrease in government spending to G = 220, we need to adjust the equation based on the changes in the components of the IS equation. The IS equation relates output (Y) to the interest rate (i). The given original IS equation is Y = 1,400.37 - 2,155.26i.

To incorporate the decrease in government spending, we substitute the new value of G = 220 into the equation. The new IS equation is: Y = 1,400.37 - 2,155.26i - (232 - 220) Simplifying the equation, we get: Y = 1,388.79 - 2,155.26i Using this new IS equation, we can calculate the new equilibrium values of output (Y), consumption (C), and investment (I). However, without further information on the components of consumption and investment, we cannot determine the exact values. Similarly, the real money supply (M/P) is not provided, so we cannot calculate its equilibrium value.

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The beta of the portfolio, considering $1 with a beta of 3% and $2 with a beta of 7% and a weight of 0.1 (w1), is 6.6%.


The beta of a portfolio measures its sensitivity to overall market movements. To calculate the beta of a portfolio, we need the individual asset weights and betas of each asset. Given that $1 has a beta of 3% and $2 has a beta of 7%, with a weight of 0.1 (w1), we can determine the beta of the portfolio.

To calculate the beta of the portfolio, we use the following formula:

β(portfolio) = (w1 * β1) + (w2 * β2) + ...

In this case, the portfolio contains two assets, so the formula becomes:

β(portfolio) = (w1 * β1) + (w2 * β2)

Substituting the given values:

β(portfolio) = (0.1 * 3%) + (0.9 * 7%)

β(portfolio) = 0.3% + 6.3%

β(portfolio) = 6.6%

Therefore, the beta of the portfolio is 6.6%.

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Answer:

$24.60

Step-by-step explanation:

$164 x .15= $24.60

Answer:

24.6

Step-by-step explanation:

15% = 0.15

164×0.15=24.6

24.6 is what he saves out of 164$

Answer:

a. x<2

Step-by-step explanation:

because..............

Answer:

1. blank is 23.1×10^9

2.blank is 2.31×10^3

3.blank is square meter

Answer:

1) 23.1×10^9

2) 2.31×10^3

3)square meter

Step-by-step explanation:

Answer:

d) Rhoda's method

Step-by-step explanation:

We are given an Algebraic expressions

Negative 2 (3 x minus 12) = negative 6 x + 24.

= -2(3x - 12) = -6x + 24

Distributive property states that:

a(b - c) = ab - ac

2(3x - 12) = -2 × 3x - (-2 ×12)

= -6x + 24

From the above question, we can deduce the following information:

a) Zoe

Step 1

Substitute opposite values of x into both expressions.

2(3x - 12) = -6x + 24

Lets say x = 1, opposite of 1 = -1

Hence

2(3 × 1 - 12) = -6(-1) + 24

-2(3 - 12) = 6 + 24

-6 + 24 = 6 + 24

18 ≠ 18

Step 2.

The expressions are equivalent if the values of the expressions are equal.

Zoe is wrong

b) Latoya

Step 1

Substitute the same value of x into both expressions.

Step 2

The expressions are equivalent if the value of one of the expressions is zero.

Latoya is wrong

c) Christina

Step 1

Substitute opposite values of x into both expressions.

Step 2

The expressions are equivalent if the values of the expressions are opposites.

Christina is wrong

d) Rhoda

Step 1

Substitute the same value of x into both expressions

-2(3x - 12) = -6x + 24

Let say x = 1

-2(3 × 1 - 12) = -6(1) + 24

-2(3 - 12) = -6 + 24

-6 + 24 = -6 + 24

18 = 18

Step 2

The expressions are equivalent if the values of the expressions are equal.

Therefore, Rhoda method is correct

Answer:

Rhoda

Step-by-step explanation:

sub same values of x into both expressions. The expressions are equivalent if the values of the expressions are equal

Answer:

The answer is 24 you will be putting the groups in 10.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

We want to prove that ΔMNP is similar to ΔRSP using Angle-Angle Similarly.

First, we already have one congruent angle, ∠P.. So, we will need to acquire another angle. We can see that we either need to know one of two things: 1) ∠NMP and ∠SRP are congruent or 2), ∠MNP or ∠RSP are congruent.

So, we can eliminate choices A, B, and C. Knowing any one of the specific angles won't give us the value of the other, corresponding angle.

Therefore, the correct answer is D. If MN is parallel to SR, then we will have two parallel cut be a traversal NP or MP.

Then by the corresponding angles theorem, ∠NMP and ∠SRP are congruent and/or ∠MNP or ∠RSP are congruent.

Answer:

I'm pretty sure the answer would be 90

Step-by-step explanation:

300 x 0.3 = 90