4. For the function f(x) = -3x + 64,
find x if f(x) = 34.

Answer:

x = 8

Step-by-step explanation:

0.75 * ( x+4) = 9

0.75x + 3 = 9

0.75x = 9 - 3

0.75x = 6

x = 6 / 0.75

x = 8

\((4x+1)(2x^2 -2) \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{llll} 2x^2-2\\ \times ~~ 4x\\\cline{1-1} 8x^3-8x \end{array}~~ + ~~ \begin{array}{llll} 2x^2-2\\ \times ~~ 1\\\cline{1-1} 2x^2-2 \end{array}\qquad \implies \boxed{8x^3+2x^2-8x-2}\)

Answer: A) SAS

The tickmarks tell us which pair of sides are congruent.

The sides with single tickmarks are the same length. The sides with double tickmarks are the same length.

The arcs drawn for the angles show they are the same measure.

The angle is between the two congruent sides for each triangle. The angle must always be between the two congruent sides to use SAS.

Yuri will spend $ X more on concrete than on soil and wood.

When answering questions on Brainly, it is important to be factually accurate, concise, and professional.

It is also important to provide a step-by-step explanation of how you arrived at your answer.

The question is asking about the cost of materials for a patio, garden, and deck.

Let's break down the information we have.

Area of the patio = enter your response

Here

Cost of concrete = $ enter your response

Here

Area of the garden = enter your response

here

Cost of soil = $ enter your response

here

Total area of the deck = enter your response

here

Cost of wood = $ enter your response

here

Yuri will spend $ enter your response here more on concrete than on soil and wood.

To find the cost of each material, we need to multiply the area by the cost per unit area.

For example, the cost of concrete would be the area of the patio multiplied by the cost of concrete per unit area.

Let's call the cost per unit area for concrete C, the cost per unit area for soil S, and the cost per unit area for wood W.

Area of patio = P

Cost of concrete = C

Area of garden = G

Cost of soil = S

Total area of deck = D

Cost of wood = W

Yuri will spend X more on concrete than on soil and wood.

To find the values of P, C, G, S, D, and W, we need to use the information given in the question.

However, some values are missing.

We can use the given information to create equations that will help us find these values.

For example, we know that the total area of the deck is the sum of the area of the patio and the area of the garden, so we can write:

D = P + G

Similarly, we can write an equation for the cost of each material.

For example, the cost of concrete is the area of the patio multiplied by the cost per unit area for concrete, so we can write:

C = P * C

Similarly, we can write equations for the cost of soil and wood:

S = G * W, W = D * W

Now we have three equations and three unknowns: P, G, and D. We can solve this system of equations to find these values.

Let's solve for P and G first.

We'll use the equation

D = P + G

to eliminate G from the equations.

C = P * CS = G * WP = D - G

Substitute P = D - G into the first two equations.

C = (D - G) * CW = D * W - G * W

Now we have two equations and two unknowns: D and G.

We can solve for these values.

We'll use the equation

W = D * W - G * W

to eliminate W from the equations.

C = (D - G) * CS = G * SD = P + G = 2G - (W / C)

Substitute D = P + G into the first two equations.

C = P * C + G * CS = G * SW = P + G - DC = P * C + (D - P) * C + (W / C) * C = 2P * C + W

We can now solve for P, G, and D.

P = (C + S + W / C) / 2G = (S + W / C) / 2D = P + G = (C + S + W / C) / 2 + (S + W / C) / 2P = enter your response

here

C = enter your response

here

S = enter your response

here

W = enter your response

here

G = enter your response

here

D = enter your response

here

Now we can find the value of X, which is the difference between the cost of concrete and the combined cost of soil and wood.

X = C - (S + W)X = enter your response.

The area of the patio is enter your response here ​, so the cost of concrete is ​$ enter your response here. The area of the garden is enter your response here ​, so the cost of soil is ​$ enter your response here. The total area of the deck is enter your response here ​, so the cost of wood is ​$ enter your response here.

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Question:

Yuri bought a new house. The diagram shows the layout of his backyard. Yuri is designing improvements that he wants to make. Yuri plans to fill the patio with concrete, the garden with a special soil mixture, and the remaining areas that surround the hot tub with a wood deck. The table shows the costs associated with each project. How much more will Yuri spend on concrete than on soil and wood?

Answer:

The value of x is 5.8

Step-by-step explanation:

Here. we want to find the value of x

To do this, we need the appropriate trigonometric identity

As we can see 10 is the opposite as it faces the side given

x is the adjacent

The trigonometric identity relating opposite and adjacent is tan . Tan is the ratio of the opposite to the adjacent

Thus, mathematically;

Tan 60 = 10/x

x = 10/tan 60

x = 5.8

Answer:

2 and 6 for the circles.

-18 for the square.

Step-by-step explanation:

-3 times a number is -6.

\(-3 \times 2 = -6\)

The number is 2.

2 times a number is 12.

\(2 \times 6 = 12\)

The number is 6.

6 times -3.

\(6 \times -3 = -18\)

The number is -18.

Answer:

\(-\frac{6}{7}\)

Step-by-step explanation:

⇒ \(m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\)

⇒ \(m = \frac{9 - 3}{1 - 8}\)

⇒ \(m = \frac{6}{-7}\)

Answer:

20 minutes

Step-by-step explanation:

80% of 480 is 384

480 x .80 = 384

4.8 x 20 = 96

Answer:

left 4 up one because the coordinates are -4 , 1

Answer:

the first one (-4, 1)

Step-by-step explanation:

Answer:

Step-by-step explanation:

I'll just write log for log base 10.  The important rules about logarithms we need to know are:

\( a \log b = \log( b^a) \)

\( \log a + \log b = \log( ab) \)

and at the end we'll need something like

\(\log a = \log b \implies a=b\)

Suitably armed we can begin,

\( \left( 1 + \dfrac{1}{2x} \right) \log 3 + \log 2 = \log (27 - 3^{1/x}) \)

First rule,

\( \log 3^{ 1 + 1/2x}  + \log 2 = \log (27 - 3^{1/x}) \)

Second rule,

\( \log 2(3^{ 1 + 1/2x})  = \log (27 - 3^{1/x}) \)

Third rule,

\( 2(3^{ 1 + 1/2x})  = 27 - 3^{1/x} \)

We can rewrite this to be a quadratic equation in \(y=3^{1/2x}\).

\(  6 (3^{1/2x})  = 27 -  (3^{1/2x})^2 \)

\(y^2 +6y - 27 =0\)

\((y - 3)(y+9)=0\)

\(y=3 \textrm{ or } y=-9\)

First solution:

\(3^{1/2x} = 3 = 3^{1}\)

\(1/2x = 1\)

\(1=2x\)

\(x = 1/2\)

Second solution,

\(3^{1/2x} = -9\)

No real powers of 3 will be negative, no solution here.

Answer: x=1/2

Check:  

1 + 1/2x = 2 so the left side is log 2(3²) = log 18

Right side, log(27-3^2) = log 18  √

Answer:

in order from top to bottom

one solution

infinite solutions

no solution

The function f(x) = 1/x is not defined for x = 0, so it cannot be considered as a function from R to R. Similarly, the function f(x) = √x is not defined for x < 0, as the square root of a negative number is not a real number. Therefore, f(x) = √x is also not a function from R to R.

What is a real number?

A real number is a number that can be expressed as a decimal or a fraction, including integers, rational numbers (fractions), and irrational numbers (such as √2 or π). Real numbers can be plotted on the number line and have properties like addition, subtraction, multiplication, and division.

In the case of f(x) = 1/x, the issue arises because division by zero is undefined in mathematics. As x approaches 0 from the positive side, the function approaches positive infinity, and as x approaches 0 from the negative side, the function approaches negative infinity. This discontinuity at x = 0 makes it impossible to define a unique output value for f(0), which is necessary for a function.

For f(x) = √x, the square root function is only defined for non-negative values of x. Taking the square root of a negative number would require introducing complex numbers, but in this case, we are dealing with a real function. Hence, f(x) = √x is not defined for x < 0 and cannot be considered as a function from R to R.

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Answer:

36

Step-by-step explanation:

Answer:

-12-15 is -27

Step-by-step explanation:

when subtracting negatives imagine there being a plus sign in the middle and pair that subtraction sign with the 15

Answer:

492.205

$492

Step-by-step explanation:

2050/100 = ?/ 70 <- repeat four times changing 2050 to the new value.

The resale value of the laptop after 4 years will be approximately $492.

To calculate the resale value "b" of the item after "n" years, we need to apply the annual decrease in value to the original price "a" for each year (n). We can do this using a loop or by using a formula.

b = a x (1 - decrease rate)ⁿ

As per the question, the old value is $2050, the decrease rate is 30%, and the number of years is 4. Plugging these values into the formula gives us:

new value = $2050 x (1 - 0.30)⁴

Simplifying this expression gives us:

new value = $2050 x 0.70⁴

new value = $2050 x 0.2401

Which simplifies to:

new value = $492.205

Rounding this result to the nearest dollar gives us $492.

Therefore, the resale value of the laptop after 4 years will be approximately $492.

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Answer:

1/16

Step-by-step explanation:

1/2 to the power of 4 is 1/16

Answer:

\(\frac{1}{16}\)

Step-by-step explanation:

Answer:

5units

Step-by-step explanation:

Answer:

h(-6) = 17

Step-by-step explanation:

h(-6) = -2(-6) + 5 = 12 + 5 = 17

Hope this helps

Statistical time division multiplexing is sometimes called asynchronous time division multiplexing. The correct answer is "c. asynchronous."

Statistical time division multiplexing is sometimes called asynchronous time division multiplexing. However, it should be noted that statistical time division multiplexing is different from synchronous time division multiplexing, which divides the time slots in a fixed, predetermined manner. In statistical time division multiplexing, the time slots are allocated dynamically based on the data traffic, hence the term "statistical".

More specifically, asynchrony describes the relationship between two or more events/objects that interact in the same system but do not occur in a predetermined manner and are not necessarily dependent on each other's existence for escape. They do not cooperate with each other, which means they may or may not occur simultaneously as they have their own separate processes.

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The Fourier coefficient C₂ of the exponential series is zero.

To find the Fourier coefficient C₂ of the exponential series for the periodic function z(t) = sin(t) + sin(t), we can use the formula:

Cₙ = (1/T) ∫[T] z(t) \(e^{-jw_nt}\) dt

where T is the period of the function, ωₙ = 2πn/T, and j is the imaginary unit.

In this case, the function z(t) = sin(t) + sin(t) can be simplified to 2sin(t).

To find C₂, we substitute n = 2 into the formula:

C₂ = (1/T) ∫[T] 2sin(t) \(e^{-jw_2t}\) dt

The frequency ω₂ is given by ω₂ = 2πn/T = 2π(2)/T = 4π/T.

Since sin(t) is an odd function, the integral of sin(t) multiplied by an even function like \(e^{-jw_2t}\) over a symmetric interval centered at t = 0 will be zero.

Therefore, the Fourier coefficient C₂ of the exponential series for the periodic function z(t) = sin(t) + sin(t) is zero.

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The strategy for generating a hypothesis that does not fit among the options provided is option C) Thinking of things unilaterally.

Introspection, finding exceptions to the rule, and thinking about variables in terms of amount or degrees are all valid strategies for generating hypotheses.

Introspection involves reflecting on personal experiences, thoughts, and observations to generate hypotheses about a particular phenomenon or question.

Finding exceptions to the rule involves identifying instances that do not conform to the expected pattern or generalization, which can lead to the formulation of alternative hypotheses.

Thinking about variables in terms of amount or degrees involves considering how varying levels or quantities of a particular variable may impact the outcome or relationship being studied, which can help generate hypotheses about the nature and direction of the relationship.

On the other hand, "thinking of things unilaterally" is not a recognized strategy for generating hypotheses. The term "unilaterally" typically refers to actions or decisions made by one side or party without considering others.

Hypothesis generation involves considering multiple perspectives, factors, and possibilities, rather than approaching it unilaterally.The correct answer is option c.

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Given:

The angle is 1591 degrees.

To find the coterminal angle:

First, we need to write the given angle in terms of 360 degrees.

We can write,

So, the coterminal angle of 1591 degrees is 151 degrees.

The following are the zeros for the function h (x) = x2 + 3x - 8: - x= -4 and x=2.

Given a collection of inputs X (domain) and a set of potential outputs Y (codomain), a function is more technically defined as a set of ordered pairings (x,y) where xX and yY with the caveat that there can only be one ordered pair with the same value of x. The function notation f:XY can be used to express that f is a function from X to Y.

The function's zero is a value of x that makes it equal to zero. In other words, the equation f(x) = 0 leads to a zero.

By putting h(x) equal to zero and figuring out x, we may determine the zeroes for the function h(x) = x2 + 3x - 8.

h(x) = x² + 3x - 8 = 0

We may factor the left side of the equation to find x:

x² + 3x - 8 = (x-2)(x+4) = 0

We set each factor to zero and solve for x to discover the zeroes:

x-2 = 0 or x+4 = 0

x = 2 or x = -4

Consequently, the function's zeros are x = 2 and x = -4.

So, A is the right response. x = -4 and x = 2

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The complete question is

What are the zeros of the function h (x) = x² + 3x - 8?

A. x = -4 and x = -2

B. x= -8 and x = 2

C. x = -2 and x = 8

D. x = 2 and x = 8

a. (0,0), (5,0), (3.75, 3.75), (3.5,4.5), (0,8);

b. x = 3.5, y = 4.5, OFV = 59.5;

c. s1 = 0, s2 = 2, s3 = 0.

a. The extreme points of the feasible region are the vertices of the polygon formed by the intersection of the constraint lines. In this case, the extreme points are (0,0), (5,0), (3.75, 3.75), (3.5,4.5), and (0,8).

b. To find the optimal solution and the objective function value, we evaluate the objective function at each extreme point and choose the point that maximizes the objective function. In this case, the point (3.5, 4.5) maximizes the objective function with a value of 59.5. Therefore, the optimal solution is x = 3.5 and y = 4.5, and the objective function value is 59.5.

c. The slack variables represent the surplus or slack in each constraint. We calculate the slack variables by subtracting the actual value of the left-hand side of each constraint from the right-hand side. In this case, the values of the slack variables are s1 = 0 (indicating no slack in the first constraint), s2 = 2 (indicating a surplus of 2 in the second constraint), and s3 = 0 (indicating no slack in the third constraint).

Therefore, the correct option is:

a. (0,0), (5,0), (3.75, 3.75), (3.5,4.5), (0,8);

b. x = 3.5, y = 4.5, OFV = 59.5;

c. s1 = 0, s2 = 2, s3 = 0.

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Answer:

Right scalene

Step-by-step explanation:

The triangle has a right angle, but no sides are equal.

Answer:

The triangle is a right scalene triangle.

Step-by-step explanation:

If any angle is marked by a little square like in the triangle's bottom left corner, that means the angle is 90° or a right angle. Since none of the angles in the triangle are equivalent, that means the right triangle is a scalene triangle. So the correct choice is a right scalene triangle.

Answer:

in 7 minutes he solve 10 problems

he solve one problem in = 7/10= 0.7 minute

he solve 35 problem in = 0.7x35= 24.5 minute

Step-by-step explanation:

hope it helps ❤️

Amy should collect a sample data size of 50, but she does not have enough time. So, she collected those from her three different classes’ students. The method used here is called stratified sampling.

Stratified Sampling is a type of sampling technique where the researcher divides the entire population into homogeneous subgroups and then selects the final subjects randomly from each subgroup. This method ensures that the sample selected represents the population equally well. In stratified sampling, the population is divided into subgroups, called strata, and then a random sample is drawn from each stratum to form the final sample. This type of sampling method is used when a population has distinct subgroups that differ in some important ways. It is the most appropriate method when the population is heterogeneous and contains several sub-groups that vary in characteristics. This method ensures that the sample is representative of the population as a whole.

Amy chose stratified sampling method. The reason behind it is that she had to collect a sample data size of 50. The population from which she had to take the sample was large. To simplify the sampling process, she divided the population into three subgroups: students from her three different classes, and then randomly selected the subjects from each class. This method is called stratified sampling. The benefit of using stratified sampling is that it ensures that the sample is representative of the population as a whole. It provides better accuracy and precision of results.

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Answer:

Step-by-step explanation:

d

Answer:

D

Step-by-step explanation:

Answer:

explanation:

gradient: 3/4

coordinate: (2, 1)

equation:

\(\rightarrow \sf y-1 = \dfrac{3}{4} (x-2)\)

\(\rightarrow \sf y-1 = \dfrac{3}{4} x-\dfrac{3}{2}\)

\(\rightarrow \sf y = \dfrac{3}{4} x-\dfrac{3}{2} +1\)

\(\rightarrow \sf y = \dfrac{3}{4} x-\dfrac{1}{2}\)