3x - 5y = 13
y=x-3 please helo

Answer:

Statement 4 in true.

Step-by-step explanation:

1. f(-2)=(-3*(-2)+2)^2+(-2)=(6+2)^2+(-2)=8^2-2=62, FALSE

2. f(-5)=(-3*(-5)+2)^2+(-5)=(15+2)^2+(-5)=17^2+(-5)=289-5=284, FALSE

3. f(3)=(-3*3+2)^2+3=(-9+2)^2+3=(-7)^2+3=49+3=52, FALSE

4. f(5)=(-3*5+2)^2+5=(-15+2)^2+5=(-13)^2+5=169+5=174, TRUE

Answer:

option 4

Step-by-step explanation:

f(- 2) = (6 + 2)² - 2 = 8² - 2 = 64-2 = 62 ≠ 64

f(- 5) = (15 + 2)² - 5 = 17² - 5 = 289 - 5 = 284 ≠ 29

f(3) = (- 9 + 2)² + 3 = (- 7)² + 3 = 49 + 3 = 52 ≠ - 11

f(5) = (- 15 + 2)² + 5 = (- 13)² + 5 = 169 + 5 = 174 ← True

Answer:

To find Rs(1,0) and Rt(1,0), we need to use the chain rule of partial differentiation.

Rs(1,0) can be found by computing the partial derivative of R with respect to s, while holding t constant and then evaluating the result at (1,0). Similarly, Rt(1,0) can be found by computing the partial derivative of R with respect to t, while holding s constant and then evaluating the result at (1,0).

Using the chain rule, we have:

Rs = Fu * us + Fv * vs

Rt = Fu * ut + Fv * vt

We are given the values of u, v, us, ut, vs, vt, Fu, and Fv at the point (1,0) and the values of u and v at the point (2,3). We can use these values to compute Rs(1,0) and Rt(1,0) as follows:

Rs(1,0) = Fu(2,3) * us(1,0) + Fv(2,3) * vs(1,0)

= (-1) * (-2) + (10) * (5)

= 52

Rt(1,0) = Fu(2,3) * ut(1,0) + Fv(2,3) * vt(1,0)

= (-1) * (6) + (10) * (4)

= 34

Therefore, Rs(1,0) = 52 and Rt(1,0) = 34

당신에게 도움이됩니다

\(( - 3) - 5 \\ = ( - 8)\)

Answer:

Step-by-step explanation:

if x = y, and y = z, you can write that as x = y = z, which means that x = z

The correct set of possible results would be (0, 1, 0, 0), (1, 2, 1, 0) and (1, 2, 0, 1).

Your approach seems to be correct, but there seems to be a minor mistake in your final list of possible solutions. Let's go through the steps to clarify.

Given the initial conditions z=t=0, you obtained a partial solution (0,1,0,0).

Next, you solved the homogeneous equations for z=1 and t=0, which resulted in a solution (1,1,1,0).

Similarly, solving the homogeneous equations for z=0 and t=1 gives another solution (1,1,0,1).

To find the general solution, you combine the partial solution with the solutions obtained in the previous step, using parameters a and b.

(0,1,0,0) + a(1,1,1,0) + b(1,1,0,1)

Expanding this expression, you get:

(0+a+b, 1+a+b, 0+a, 0+b)

Simplifying, you obtain the following set of solutions:

(0, 1, 0, 0)

(1, 2, 1, 0)

(1, 2, 0, 1)

Therefore, the correct set of possible results would be:

(0, 1, 0, 0)

(1, 2, 1, 0)

(1, 2, 0, 1)

Note that (0, 1, 1, 1) is not a valid solution in this case, as it does not satisfy the initial condition z = 0.

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Answer:

14.728

Step-by-step explanation:

m³ + n if m = 1.2 and n = 13

= (1.2)³ + 13

= 1.728 + 13

= 14.728

The overall value of the logical expression (x || y) || (y || z) is true.

The value of the logical expression (x || y) || (y || z) can be determined by evaluating the OR (||) operator between the given boolean identifiers.

Given that x is true, y is false, and z is false, we can substitute these values into the expression:

(true || false) || (false || false)

The OR operator returns true if at least one of the operands is true. Evaluating each sub-expression:

true || false evaluates to true.

false || false evaluates to false.

Substituting the results back into the main expression:

true || false evaluates to true.

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Answer:

0.8

Step-by-step explanation:

Answer:

A. 5 in= 5/12 ft

B. 13 in= 1 1/12 ft

C. 9 oz = 9/16 Ib

D. 18 oz = 1 1/8 lb

Answer:

√65

Step-by-step explanation:

The distance formula can be represented as

\(\sqrt{(x_{2} -x_1)^2 + (y_2-y_1)^2}\)

Taking (8,8) as (x₂, y₂) and (0,7) as (x₁, y₁), we have

\(\sqrt{(8 -0)^2 + (8-7)^2}\\= \sqrt{8^2 + 1^2}\\= \sqrt{65}\)

as our answer

Answer:

option H.

Line A increase more rapidly than B

hope it helps

Answer:

100/ 56

Step-by-step explanation:

100/65 because 0.65 is a decimal number

hope it helps!

Answer:

100/65 because 0.65 is in decimal

Applying notable products, the expanded expressions are given by:

a) (x + 1)² = x² + 2x + 1.

b) (x - 2)² = x² - 4x + 4.

c) (x + 3)² = x² + 6x + 9.

The notable product for the square of the sum is given by:

(a + b)² = a² + 2ab + b².

Hence:

a) (x + 1)² = x² + 2x + 1.

c) (x + 3)² = x² + 6x + 9.

The notable product for the square of the subtraction is given by:

(a - b)² = a² - 2ab + b².

That is, just the middle term changes compared to the square of the sum.

Hence:

b) (x - 2)² = x² - 4x + 4.

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Answer:

6

Step-by-step explanation:

Multiply by 6 and you can eliminate x or y.

If a car is going 100 miles per hour, the car goes 100 miles in one hour.

Answer:36 seconds

Step-by-step explanation:

100 miles per hour, it would take me approximately 36 seconds to travel 1 mile.

Answer:

X=4 hope I help

Step-by-step explanation:

llllllllll

The probability of rolling a sum of 5 on a standard pair of six sided dice is 1/9.

According to the given question.

A standard pair of dice is rolled.

So, the sample sapce for rolling a pair of dice = {(1,1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6), (3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6), (4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6), (5, 1), (5, 2), (5, 3), (5, 4),(5, 5),(5, 6), (6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)}

⇒ Total number of outcomes = 36

And, the outcomes for getting a sum of five on a sandard pair of six sided dice = {(2, 3), (3, 2), (4, 1), (1, 4)}

⇒ Total number of favorable outcomes = 4

As we know that " probability is the ratio of total number of favorable outcomes to the total number of outcomes".

Therefore,

The probability of rolling a sum of 5 on a standard pair of six-sided dice

= 4/36

= 1/9

Hence, the probability of rolling a sum of 5 on a standard pair of six sided dice is 1/9.

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Answer:

the transitive property of uniformity reveals to us that on the off chance that we have two things that are equivalent to one another and the subsequent thing is equivalent to a third thing, at that point the primary thing is additionally equivalent to the third thing. The recipe for this property is in the event that a = b and b = c, at that point a = c.

I have attached the definition below with an example too.

Based on the context of the problem, the range of the exponential function y = \(45,529(0.78)^x\) is y > 0.

The exponential function for depreciation given in the problem is:

y = 45,529(0.78)^x

This function gives us the value of Sharlene's truck in dollars after x months of ownership, assuming that the depreciation follows a constant rate and is modeled by an exponential function.

To find the range of the function, we need to consider the minimum value that y can take. Since depreciation leads to a decrease in value over time, y should always be greater than zero. In other words, the range of the function is:

y > 0

In practical terms, this means that Sharlene's truck will always have some positive value, even if its market value has decreased due to depreciation. In other words, a truck is never worth zero or less than zero (unless it has additional debts associated with it), and Sharlene's truck will always have some resale or scrap value even if it has depreciated significantly.

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Recall that the perimeter of a figure is the sum of the lengths of its sides.

From the given diagram, we get that the figure has

and each side measures 5.75 m.

Therefore, the perimeter of the figure is:

Finally, we get that the perimeter is:

Answer:

5/6

Step-by-step explanation:

1/2 + 1/3 You first multiply 1/2 by 3 and 1/3 by 2

3/6 + 2/6 then you add

5/6

Step-by-step explanation:

1/2 + 2/3

find the LCM of 2 and 3

LCM =6

1/2 + 2/3

(you'll divide 6 by the denominator and multiply by the numerator)

denominator= the figure down(2 &3)

numerator= the figure up (1 & 2)

= 3/6 +4/6

=7/6

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The value of x = 1 so the correct answer is option D.

The complete question is attached in the image below.

A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis.

Given that triangles ABC and DEC are congruent to each other.

We are to find the value of x.

From the figure, we note that

AB = 4x - 1, BC = 4, AC = 5, DE = x+2, CE = 4 and EC = 5.

Since ΔABC ≅ ΔDEC, their corresponding sides will be equal.

Therefore, we must have

AB = DE

4x - 1 = x + 2

4x - x = 2 + 1

3x = 3

x = 1

Thus, the required value of x is 1.

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The absolute value of x + 1 is added to the absolute value of x - 2 is equal to 3. So the value of x is equal to -1, 0 and 2.

To solve the equation | x + 1 | + | x - 2 | = 3. We need to find out the possible cases based on the signs of x + 1 and x - 2. In case of x is less than or equal to -1, both expressions inside the absolute value signs are negative.

f(x ≤ - 1) = | -1 + 1 | + | -1 - 2 | =  3

f(x ≤ - 1) = 0 + 3 = 3

So x can be less than or equal to be -1.

In case, when x = 0, expressions inside the absolute value bars will be positive & negative, so we can rewrite the equation as 0 +  1 + 0 + 2 = 3, which simplifies to  x = 0

f(x = 0) = |0 + 1 | + | 0 - 2 | = 3

f(x = 0) = 1 + 2  = 3

so x can be equal to 0.

When x ≥ 2, both expressions inside the absolute value bars will be positive, so we can rewrite the equation as x + 1 + x - 2 = 3, which simplifies to 2x = 4, or x = 2.

f(x ≥ 2) = | 2 + 1 | + | 2 - 2 | = 3

f(x ≥ 2) = 3 + 0 = 3

so x can be greater than or equal to 2.

Therefore, the solutions to the equation |x + 1| + |x - 2| = 3 are x = - 1, x = 0 and x = 2.

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Answer:

54 and 36

Step-by-step explanation:

when we add 54 and 36 we get 90 and when we subtract 54 from 36 we get the difference 18

Answer:

54 and 36

explanation

Answer:

no

Step-by-step explanation:

the x value (-1) repeats therefore it ain't a function

The metal that was used to construct the small rectangular pyramid-shaped metal object found in the archaeological dig is B. Lead of density \(11.34 grams/cm^{3}\)

Given :

The weight of the object is 612.4 grams.

The Height of the object = 9cm

The Breadth of the rectangular base = 3cm

The Length of the rectangular base = 6cm

Area of the rectangular base = Length*Breadth = 3*6 sq. cm = 18 sq. cm

Calculating the volume of the Object,

Volume = \(\frac{Length*Width*Height}{3}\)

Volume = \(\frac{6*3*9}{3} = 54 cm^{3}\)

Now, Calculating density,

\(Density = \frac{Mass}{Volume }\\\\\)

Putting the values of mass and volume, we have \(Density =\frac{612.4}{54} = 11.34 grams/cm^{3}\)

Hence, the density of the material is \(11.34 grams/cm^{3}\)

The density matches the density of LEAD.

Hence, the metal that was used to construct the small rectangular pyramid-shaped metal object found in the archaeological dig was B. Lead

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