Use the linear combination method to solve.
5x + 4y = 5
x– 4y=1 ?

(1,0)

(1,2)

(1,2)

(6,6)

(5,6)​

Answer:

--------------------------

Use of identity:

Solve the given equation in below steps:

The solution to the logarithmic equation ㏒₄ (㏒₂ (㏒₃ x))) = 1 / 2 is equal to x = 81.

In this problem we find the definition of logarithmic equation, whose solution can be found by means of the relationship between powers and logarithms, and root and power properties as well. The solution process is now shown:

First, apply exponential expressions on both sides to eliminate the outtermost logarithm operator:

㏒₂ (㏒₃ x) = 2

Second, repeat the procedure:

㏒₃ x = 2²

㏒₃ x = 4

Third, repeat the procedure of the first step:

x = 3⁴

x = 81

The statement is incomplete. The complete form is shown below:

Find x for the following logarithmic equation:

㏒₄ (㏒₂ (㏒₃ x))) = 1 / 2

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[infinity]: More information is needed to determine convergence or divergence. n = 1: Not a series; it is a single value of n. \(n^2 + n + 8\): Diverges. \(n^4 + n^2:\) Converges.

To determine whether the given series converge or diverge, we need to analyze their behavior.

[infinity]

This notation indicates that the series has an infinite number of terms. Without any specific pattern or values for the terms, we cannot determine whether the series converges or diverges. More information is needed to evaluate this series.

n = 1

This expression represents a single term, which is not a series. It does not converge or diverge; it is simply a value of n.

\(n^2 + n + 8\)

To determine the convergence or divergence of this series, we need to consider the limit of its terms as n approaches infinity. Let's calculate the limit:

lim(n->∞) \((n^2 + n + 8)\)

As n approaches infinity, the dominant term in the expression is \(n^2\). Therefore, the series behaves similar to the series \(n^2\).

The series \(n^2\) diverges because its terms grow without bound as n increases. Hence, the series \(n^2 + n + 8\) also diverges.

\(n^4 + n^2\)

Similar to the previous series, we need to evaluate the limit of its terms as n approaches infinity:

lim(n->∞) \((n^4 + n^2)\)

As n approaches infinity, the dominant term in the expression is \(n^4.\) Therefore, the series behaves similar to the series \(n^4.\)

The series \(n^4\) converges since its terms approach infinity more slowly than \(n^2\). Therefore, the series \(n^4 + n^2\) also converges.

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Answer:

( 36 + 14 ) / 2 x 5  

I hope im right !

Answer:

27.6

Step-by-step explanation:

Answer:

b=3.4     so it is d

Step-by-step explanation:

Subtract 2.3  from both sides of the equation

b+2.3 = 5.7

b+2.3 - 2.3 = 5.7- 2.3

and the simply

a) The explanatory variable in the study is the format of the stories presented to the four-year-olds: audio, illustrated, and animated. This variable is categorical because it involves distinct categories or formats.

b) The response variable in the study is the brain connectivity measured by the magnetic resonance imaging (MRI) machine. This variable is quantitative as it represents a numerical measurement of brain connectivity.

c) The study includes 27 four-year-olds as the observational units or individuals.

The study aimed to investigate the impact of different story formats on brain connectivity in four-year-olds. The explanatory variable, format, was categorized into three groups: audio, illustrated, and animated.

The response variable, brain connectivity, was measured using an MRI machine. The researchers found a "Goldilocks effect" in the brain connectivity, indicating that the audio format was associated with low brain connectivity, possibly due to the children straining to understand.

On the other hand, the animated format also resulted in low brain connectivity, suggesting that the animation did all the work for the children.

The highest brain connectivity, considered optimal, was observed with the illustrated format, which simulated the experience of reading a book to a child.

The study included 27 four-year-olds as the observational units, providing insights into the relationship between story format and brain connectivity in young children.

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Answer:

Step-by-step explanation:

1 Simplify 19-7 to 12.

12^2−8×3+4×3−5

2 Simplify 12^2 to 144

144−8×3+4×3−5

3 Simplify 8×3 to 24.

144−24+4×3−5

4 Simplify 4×3 to 12.

144−24+12−5

5 Simplify 144-24 to 120.

120+12-5

6 Simplify 120+12 to 132.

132-5

7 Simplify.

127

Answer:

Question (8). m∠1 = 142°

                     m∠2 = 300°

Question (9). m∠1 = 73°

                     m∠2 = 82°

Step-by-step explanation:

Question (8). m∠1 + 38° = 180° [Supplementary angles]

                              m∠1 = 180 - 38

                              m∠1 = 142°

                              m∠x = 38° [Alternate interior angles]

                               m∠y = 22° [Alternate interior angles]

                Now, m∠2 = 360° - (m∠x + m∠y)

                                   = 360° - (38 + 22)°

                          m∠2 = 300°

Question (9). m∠RMN + 98° = 180°

                       m∠RMN = 180 -98

                                      = 82°

                       m∠RMN = m∠ARM = 82°

                             m∠2 = 82°

                        m∠SNM = 73° [Vertical angles]

                        m∠SNM = m∠OSR = 73°[Corresponding angles]

                               m∠1 = 73°

The errors made by Parul are She added 3.5 instead of subtracting, she should have divided by -5 as her first step, and she used a closed circle instead of an open circle on the number line. (Options: 1, 2, 5)

From the given information, Parul attempted to solve the inequality -5x - 3.5 > 6.5. Let's analyze the errors she made.

She added 3.5 to both sides when she should have subtracted.

Parul added 3.5 to both sides of the inequality, which is incorrect. To isolate the variable term (-5x) on one side, she should have subtracted 3.5 from both sides. This error affects the accuracy of the inequality.

She should have divided both sides by -5 as her first step.

Parul did not divide both sides of the inequality by -5 initially to isolate the variable x. Dividing by -5 is necessary to solve for x. Instead, she incorrectly subtracted 3.5 from both sides, as mentioned earlier.

She used a closed circle instead of an open circle on the number line.

Parul used a closed circle to represent the point -50 on the number line. However, for an inequality where x > -50, the correct representation should be an open circle at -50. This is because the point -50 itself is not included in the solution set.

Therefore, the errors made by Parul are:

She added 3.5 to both sides when she should have subtracted.

She should have divided both sides by -5 as her first step.

She used a closed circle instead of an open circle on the number line. So Option 1, 2, 5 are correct.

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Answer:

$50,000

Step-by-step explanation:

The computation of the amount received after paying off the mortgage is shown below

= Value of the house - mortgage amount

= $150,000 - $100,000

= $50,000

By deducting the mortgage amount from the value of the house we can get the amount received and the same is shown in the computation part

Since in the question it is given that the Rosetta sells her house and paid off mortgage so only these two items are considered and others are to be ignored

Answer:

B.) $50,000

Step-by-step explanation:

Because I said so aaaandddd because its correct the work don't lie.

ANSWER

None of the above.

EXPLANATION

We want to solve the equation given for x:

First, simplify the radical:

Now, find the square of both sides of the equation:

Finally, simplify by subtracting 4 from both sides of the equation:

Hence, the correct option is "None of the above".

Answer:

Domain/ 0

Rang/ -4

Step-by-step explanation:

Answer:

Domain/ 0

Rang/ -4

Step-by-step explanation:

I got a 100% on this test

Answer:

i believe rhe awnser is 11/12

Answer:

x={0,⅙}

Step-by-step explanation:

Since each side of the pen is being increased by 4 feet, the total increase in perimeter would be 4 feet multiplied by 4 sides, which equals 16 feet.

To determine how many feet of additional fence Craig should purchase, we need to calculate the increase in the perimeter of the enlarged pen. Therefore, Craig should purchase an additional 16 feet of fence to build his enlarged fence.

The original size of the pen is an 8 by 8 feet square, which means each side measures 8 feet. The perimeter of the original pen is calculated by adding up the lengths of all four sides, so 8 + 8 + 8 + 8 = 32 feet.

To enlarge the pen, Craig decides to increase each side by 4 feet. After the enlargement, each side of the pen would measure 8 + 4 = 12 feet. The perimeter of the enlarged pen is calculated in the same way, by adding up the lengths of all four sides: 12 + 12 + 12 + 12 = 48 feet.

To find the additional fence Craig needs to purchase, we subtract the original perimeter from the enlarged perimeter: 48 feet - 32 feet = 16 feet. Therefore, Craig should purchase an additional 16 feet of fence to build his enlarged fence.

This calculation is based on the assumption that the pen remains a square shape after enlargement. If the shape of the enlarged pen differs from a square, the calculation would vary.

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Answer:

y = -2x + 8/5

Step-by-step explanation:

Answer:

slope = -4/5x

y - int = 7/5

Step-by-step explanation:

4x + 5y = 7

-4x on each side

5y = -4x + 7

divide by 5 on each side

y = -4/5 x + 7/5

Answer:

X - 1/3

Step-by-step explanation:

Steps are in the attachment. Please check.

Answer = -1/3 = -0.33 (approx.)

____

RainbowSalt2222 ☔

Answer:

y = 6/5x + 2

Step-by-step explanation:

First let's fix this equation

5x + 6y = 36 (subtract 5x on both sides)

6y = -5x + 36 (divide by 6 on both sides)

y = -5/6x + 6

NOW

The perpendicular slope of this equation is 6/5

Now we have to plug in (-5,-4) to get the y-intercept

-4 = 6/5(-5) + b  (distribute 6/5 to -5)  (b represents the y-intercept)

-4 = -6 + b (add 6 on both sides)

2 = b

So your equation is...

y = 6/5x + 2

HOPE THIS HELPED!!!!!

Answer:

Step-by-step explanation:

The first step would be to determine if there are any common factors of 9 and 12. In this case, the factors of 9 are 1, 3, and 9; and the factors of 12 are 1, 2, 3, 4, 6, and 12. We want to pull out or divide each of the numbers in the equation by the largest common factor. In this instance, the largest common factor is 3.Therefore, the equation can be rewritten as 3(3s + 4). To check our work, multiply the 3x3s and add 3x4; you get back to the original statement of 9s + 12.

Ms. Ann can use 160 pounds of candy that costs $1.80 per pound to maintain an average cost of $2.00 per pound for the candy mix.

Let's assume Ms. Ann wants to use x pounds of candy that costs $1.80 per pound.

The total cost of the candy mix can be calculated as follows:

Total cost = Cost of selected candy + Cost of additional candy

The cost of selected candy is given as 80 pounds at $2.40 per pound:

Cost of selected candy = 80 pounds * $2.40/pound = $192.00

The cost of additional candy is x pounds at $1.80 per pound:

Cost of additional candy = x pounds * $1.80/pound = $1.80x

Since the total cost should be $2.00 per pound for the candy mix, we can write the equation:

Total cost = Cost of selected candy + Cost of additional candy = $2.00 per pound * (80 pounds + x pounds)

Substituting the values:

$192.00 + $1.80x = $2.00 * (80 + x)

Simplifying the equation:

$192.00 + $1.80x = $160.00 + $2.00x

Rearranging the terms:

$0.20x = $32.00

Dividing both sides by $0.20:

x = $32.00 / $0.20

x = 160 pounds

Therefore, Ms. Ann can use 160 pounds of candy that costs $1.80 per pound to maintain an average cost of $2.00 per pound for the candy mix.

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Answer:

  $160 pounds

Step-by-step explanation:

You want to know how much candy that costs $1.80 per pound to add to 80 pounds of candy costing $2.40 per pound to make a mix that costs $2.00 per pound.

The proportion of the components in the mix is the reverse of the proportion of the differences between the component value and the mix value. The attached diagram shows this.

The difference between the high-value component value ($2.40 per pound) and the mix value ($2.00 per pound) is $0.40 per pound. Likewise the difference between the mix value and the low-value component is $2.00 -1.80) = $0.20 per pound. Then the ratio of high-value component to low-value component will be 0.20 : 0.40 = 1 : 2.

If there are 80 pounds of expensive candy, there needs to be 2×80 = 160 pounds of cheap candy in the mix to makes its value $2.00 per pound.

Ms. Ann should use 160 lb of candy costing $1.80 per pound.

__

Additional comment

This sort of X-diagram can be used for mixtures of all sorts. Some checks you can used are ...

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Answer:

Step-by-step explanation:

It's D

Answer:

It's D

Step-by-step explanation:

Answer:

Fraction:  47/200

Decimal: 0.235

Step-by-step explanation:

Answer:

fraction is 47/200

decimal is 0.235

Step-by-step explanation:

sorry i forgot to add a couple numbers i was in a rush

The first step that we must take before attempting to solve almost any problem is to determine what the problem statement is asking us to do and what they are giving to us to help finish the problem.  Looking at this question we can see that they have requested for us to solve for x and we were provided with a figure.

After understanding what the problem is asking for us to do we can attempt to solve the problem.  We can see that there are two angles on a straight line and this is known as supplementary angles.  Let us define what supplementary angles are.

In this case we don't have a missing angle but rather a variable that makes up each of the angles.  Using a similar concept we can create an expression with 4x - 6 and 2x and have them combined to equal to 180.  After that we can solve for the unknown which in turn would give us x.

Create an expression

Combine like terms

Add 6 to both sides

Divide both sides by 6

Therefore, after creating an expression and then simplifying it down all the way to just have the value of x equal to something we were able to determine that the unknown variable of x is equal to 31.

\(\huge\text{Hey there!}\)

\(\text{Your equation: }\rm{(2x) + (4x - 6) = 180^\circ}\\\large\text{SOLVING for the x-value}\\\rm{2x + 4x - 6 = 180^\circ}\\\large\text{COMBINE the LIKE TERMS}\\\rm{(2x + 4x) + (-6) = 180^\circ}\\\rm{2x + 4x - 6 = 180^\circ}\\\rm{6x - 6 = 180^\circ}\\\large\text{ADD 6 to BOTH SIDES}\\\rm{6x - 6 + 6 = 180 + 6}\\\large\text{SIMPLIFY IT!}\\\rm{6x = 180 + 6}\\\rm{6x = 186}\\\large\text{DIVIDE 6 to BOTH SIDES}\\\rm{\dfrac{6x}{6} = \dfrac{186}{6}}\\\large\text{SIMPLIFY IT!}\\\rm{x = \dfrac{186}{6}}\\\rm{x= 31}\)

\(\huge\text{Therefore, your answer should be: \boxed{\mathsf{x = 31}}}\huge\checkmark\\\\\\\\\huge\text{Good luck on your assignment \& enjoy your day!}\\\\\\\\\frak{Amphitrite1040:)}\)

A. ∫(e^x cos(x)) dx = (1/2) e^x (sin(x) - cos(x)) + C.

B. ∫2x² / 4 dx - ∫3 / 4 dx = (1/2) x² - (3/4) x + C, where C is the constant of integration.

a) To evaluate the integral of ∫(e^x cos(x)) dx, we can use integration by parts.

Let u = e^x, and dv = cos(x) dx. Then du/dx = e^x and v = sin(x). Using the integration by parts formula,

∫(e^x cos(x)) dx = e^x sin(x) - ∫(e^x sin(x)) dx.

Next, we can use integration by parts again. Let u = e^x and dv = sin(x) dx. Then du/dx = e^x and v = -cos(x). Using the integration by parts formula again,

∫(e^x cos(x)) dx = e^x sin(x) - e^x cos(x) - ∫(e^x cos(x)) dx.

Adding ∫(e^x cos(x)) dx to both sides, we get

2∫(e^x cos(x)) dx = e^x (sin(x) - cos(x)) + C,

where C is the constant of integration.

Therefore,

∫(e^x cos(x)) dx = (1/2) e^x (sin(x) - cos(x)) + C.

b) To evaluate the integral of ∫2x³-3x / 4x dx, we can simplify the integrand by factoring out x:

∫2x³-3x / 4x dx = ∫(2x²-3) / 4 dx

Now we can integrate each term separately:

∫2x² / 4 dx - ∫3 / 4 dx = (1/2) x² - (3/4) x + C,

where C is the constant of integration.

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Answer:

n°

Step-by-step explanation:

Your selection is correct. Once again, they are alternate angles, meaning they're equal to one another.

Answer: .75 or 3/4

Step-by-step explanation:

Answer:30/40

Step-by-step explanation:

to answer this question, we need to calculate 5/8x3/5x2

5/8 x 3/5 is just both top and bottom of each multiplied, 5 x 3 which is 15 and 8 x 5 which is 40, so 15/40 x 2/1 = 30/40

also try figure it out on your own.