PLEASE HELP ME SOLVE FOR X FOR BOTH PROBLEMSS!!!

Using substitution method, the solution of the given system of equations is (-9, -26)

A system of equation can be solved using:

The given system of equations:

y = 3x+1   ............   (1)

2x - y = 8  .............. (2)

Notice the y variable is already isolated on the left side. Therefore, we can immediately use the substitution method.

Substitute y = 3x+1 into equation (2):

2x - y = 8

2x - (3x + 1) = 8

-x -1 = 8

-x = 9

Multiply by (-1)

x = -9

Substitute back x = -9 into equation (1)

y = 3x + 1

   = 3.(-9) + 1

   = -27 + 1 = -26

Hence, the solution is (-9, -26)

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Answer: 1.25 or 5/3.

Step-by-step explanation: Multiply 1 and 4 to get 4. Add 4 and 3 to get 7. 3− 7/4. Convert 3 to fraction 12/4. Since 12/4 and 7/4 have the same denominator, subtract them by subtracting their numerators. Subtract 7 from 12 to get 5. 5/4 or 1.25.

3-(1/3 4) doesn't really make sense so I went with 3-(1 3/4). 1.25 is the best answer.

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Answer:

A = 5, B= 4, C = 2, D = 1, E= 3

Step-by-step explanation:

x^5 times x^8 = x^13 following the x^n times x^m = x^n+m [rule]

The 1 and 3 for D and E satisfy this. Each number is used only once.

Hope this helps!

Answer:

m`/_DAB` will be equal to m`/_CAB`.

Step-by-step explanation:

Correct on edmentum.

Answer:

x=-3, and y=2

Step-by-step explanation:

Since both equations are equal to y, set them equal to each other and solve for x, that way you can solve for y:

x+5=-2x-4

3x+5=-4

3x=-9

x=-3

Plugging in x=-3 into one of the original equations:

y = x + 5

y = -3 + 5

y = 2

Therefore, x=-3 and y=2. You can also write as the ordered pair (-3,2) since that's where the two equations would intercept on a graph.

Answer:

Vertical translation of 5 units up

Step-by-step explanation:

The addition of 5 to g(x) represents a translation 5 units up.

Answer: the second, third and fifth options.

Step-by-step explanation:

When an equation is set up in a y=mx+b format, the slope is always equal to the value m.

Given:

There are given the value of radius and the value of the angle in radian.

Explanation:

To find the arc length, we need to use the formula of arc length.

So,

From the formula:

Where,

So,

Put all the values into the above formula:

Then,

Then,

Final answer:

Hence, the value of arc length is shown below:

Answer:

GAFD

Step-by-step explanation:

250*0.3 is 75

250-75 175

so D

GAFD

Hope this helps plz hit the crown :D

Answer:

GEFD

Step-by-step explanation:

To find the number of integer solutions for x1+x2+x3+x4+x5=31 with the given conditions, we can use the stars and bars formula. Therefore, the number of integer solutions to x1+x2+x3+x4+x5=31 with (a) xi≥0 is 5,814, with (b) xi>0 is 4,755, and with (c) xi≥i (i=1,2,3,4,5) is 8,907.

a) xi≥0: In this case, we can use the formula (n+k-1) choose (k-1) where n is the number of stars (31 in this case) and k is the number of bars (4 in this case since there are 5 variables). Therefore, the number of solutions is (31+4-1) choose (4-1) = 34 choose 3 = 5,814.
b) xi>0: In this case, we can subtract 1 from each variable to get y1+y2+y3+y4+y5=26 with yi≥0. Then, we can use the same formula to get the number of solutions which is (26+4-1) choose (4-1) = 29 choose 3 = 4,755.
c) xi≥i: In this case, we can subtract i from xi to get z1+z2+z3+z4+z5=16 with zi≥0. Then, we can use the same formula to get the number of solutions which is (16+4-1) choose (4-1) = 19 choose 3 = 8,581 for i=1, 13 choose 3 = 286 for i=2, 7 choose 3 = 35 for i=3, 4 choose 3 = 4 for i=4, and 1 for i=5.

Therefore, the total number of solutions is 8,581+286+35+4+1 = 8,907.
Therefore, the number of integer solutions to x1+x2+x3+x4+x5=31 with (a) xi≥0 is 5,814, with (b) xi>0 is 4,755, and with (c) xi≥i(i=1,2,3,4,5) is 8,907.

We need to find the number of integer solutions for the equation x1+x2+x3+x4+x5=31 with given constraints:
(a) xi≥0
(b) xi>0
(c) xi≥i for i=1,2,3,4,5
To solve this, we can use the stars and bars method for each case.
(a) xi≥0: We can treat the variables as stars, and we need to divide these 31 stars into 5 groups using 4 bars. We have 31 stars + 4 bars = 35 objects to arrange. So, the number of ways to arrange them is C(35, 4) = 52,360.
(b) xi>0: To satisfy this condition, we need to subtract 1 from each variable, so we have x1+x2+x3+x4+x5=31-5=26. Now, we need to divide these 26 stars into 5 groups using 4 bars. We have 26 stars + 4 bars = 30 objects to arrange. So, the number of ways to arrange them is C(30, 4) = 27,405.
(c) xi≥i for i=1,2,3,4,5: Here, we subtract the minimum value for each variable: x1+x2+x3+x4+x5=31-1-2-3-4-5=16. Now, we need to divide these 16 stars into 5 groups using 4 bars. We have 16 stars + 4 bars = 20 objects to arrange. So, the number of ways to arrange them is C(20, 4) = 4,845.
In summary, there are:
(a) 52,360 integer solutions for xi≥0,
(b) 27,405 integer solutions for xi>0, and
(c) 4,845 integer solutions for xi≥i for i=1,2,3,4,5.

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A)  Without eliminating the parameter of parametric equations x = √t, y = 3t−7:

dy/dx = 6√t and d²y/dx² = 0

B) By eliminating the parameter:

dy/dx = 6x and d²y/dx² = 6

Consider parametric equations x = √t, y = 3t−7

We find the derivative if above parametric equations with respect to t.

dx/dt = 1/2√t

and dy/dt = 3

Again find the derivative above equations with respect to t.

so, d²x/dt² = (1/2)(1/2t√t)

                  = 1/4t√t

and d²y/dt² = 0

So, dy/dx would be,

dy/dx

= (dy/dt)/(dx/dt)

= (3)/(1/2√t)

= 3(2√t)

= 6√t

And the value of d²y/dx² would be,

d²y/dx²

= (d²y/dt²) / (d²x/dt² )

= 0 / (1/4t√t)

= 0

B)

Here, x = √t, y = 3t−7

so, t = x²

⇒ y = 3x² - 7

Now differentiate above function with respect to x

dy/dx = 6x

And d²y/dx² = 6

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Answer: B.) 75%

Step-by-step explanation:

12 cans contain veggies and 5 cans are dented, since two of the dented cans contain veggies don't count those two. This means you'll add 12 and 3 which equals 15. 15 out of 20 is an example of three fourths or 75%.

Answer:

56

Step-by-step explanation:

you have to find the LCM of 7 AND 8.

which is 56

Answer:

The answer is 56

Step-by-step explanation:

Answer: y = -3/5x - 6

Step-by-step explanation:

There are a few equations that can be used for this, but the simplest one would be y = mx + b

We are given:

y = -3

m = -3/5 (slope)

x = -5

b = ?

Our equation is this, we are solving for b

==> -3 = -3/5 ( -5) + b

==> -3 = -3/5 ( -5) + b ( multiply the brackets)

==> -3 = 3 + b ( subtract 3 to both sides)

==> -6 = b

Now we can make the desired equation in slope intercept form;

y = -3/5x - 6

Hope this helped! Have a great day :D

Answer:

f(x)=-3x^2

f(-2)=-3*(-2)^2

f(-2)=-3*4

f(-2)=-12

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

One significant limitation of surveys like the one described is that the respondents may not always provide honest answers.

The nature of the question, in this case, involves a potentially sensitive or taboo topic, and some people may not feel comfortable admitting to immoral behavior, even if their responses are anonymous.

Additionally, the sample size of 23,000 may seem large, but it may not be representative of the population as a whole. The sample may be biased towards certain demographics or internet users who have access to the survey. Furthermore, the sample may not be random, which can introduce selection bias and undermine the validity of the results.

Another limitation is that the question itself is hypothetical and does not necessarily reflect real-life behavior. People's intentions may not always match their actual actions, and the survey does not provide any context or circumstances that might influence someone's decision to cheat.

Therefore, it is essential to interpret survey results with caution and consider the limitations of the methodology and potential biases. Surveys like this can provide insights into people's attitudes and beliefs, but they should not be taken as definitive proof of actual behavior or values.

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Answer:

-0.544m

Step-by-step explanation:

The height of the barnacle is approximately is, 0.657 meters.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

We are given that;

Graph y = sin(x)

Boat travel= 7m

Now,

Let y be the height of the barnacle and x be the distance the boat has traveled

i.e, x = 7 meters

to find the height y :

Substitute the value of x =7 meters in [1] we have;

y = sin(7)

≈0.657.

Therefore, by algebra the answer will be 0.657 meters.

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Answer:

A, B, D, E

Step-by-step explanation:

Given expression:

When multiplying decimals, multiply as if there are no decimal points:

\(\implies 6 \times 154 = 924\)

Count the number of digits after the decimal in each factor:

Therefore, there is a total of 5 digits.

Put the same number of total digits after the decimal point in the product:

\(\implies (0.06) \cdot (0.154)=0.00924\)

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

Answer option A

\(\boxed{6 \cdot \dfrac{1}{100} \cdot 154 \cdot \dfrac{1}{1000}}\)

When dividing by multiples of 10 (e.g. 10, 100, 1000 etc.), move the decimal point to the left the same number of places as the number of zeros.

Therefore:

\(\implies 6 \cdot \dfrac{1}{100} \cdot 154 \cdot \dfrac{1}{1000}=(0.06) \cdot (0.154)\)

Therefore, this is a valid answer option.

Answer option B

\(\boxed{6 \cdot 154 \cdot \dfrac{1}{100000}}\)

Multiply the numbers 6 and 154:

\(\implies 6 \times 154 = 924\)

Divide by 100,000 by moving the decimal point to the left 5 places (since 100,000 has 5 zeros).

\(\implies 6 \cdot 154 \cdot \dfrac{1}{100000}=0.00924\)

Therefore, this is a valid answer option.

Answer option C

\(\boxed{6 \cdot (0.1) \cdot 154 \cdot (0.01)}\)

Again, employ the technique of multiplying decimals by first multiplying the numbers 6 and 154:

\(\implies 6 \cdot 154 = 924\)

Count the number of digits after the decimal in each factor:

Therefore, there is a total of 3 digits.

Put the same number of digits after the decimal point in the product:

\(\implies 0.924\)

Therefore, as (0.06) · (0.154) = 0.00924, this answer option does not equal the given expression.

Answer option D

\(\boxed{6 \cdot 154 \cdot (0.00001)}\)

Again, employing the technique of multiplying decimals.

As there are a total of 5 digits after the decimals:

\(\implies 6 \cdot 154 \cdot (0.00001)=0.00924\)

Therefore, this is a valid answer option.

Answer option E

\(\boxed{0.00924}\)

As we have already calculated, (0.06) · (0.154) = 0.00924.

Therefore, this is a valid answer option.

Answer:

The answer is -164.37 dollars in there bank account.

Step-by-step explanation:

you subtract the two fees first and then you subtract the two deposits from the bank and then you have your answer. I hope that this helps you :)

Answer:

300

Step-by-step explanation:

3 hundred

0 tens

0 ones

The probability that 5 hearts are chosen when 7 cards are drawn from a well-shuffled deck of 52 playing cards is option (d) 0.00000962.

Step 1: Determine the total number of ways to choose 7 cards from a deck of 52 playing cards, which can be calculated using the combination formula: C(52, 7) = 52! / (7! * (52 - 7)!), where "!" denotes the factorial.

Step 2: Determine the number of ways to choose 5 hearts from the deck. There are 13 hearts in a standard deck, so we can calculate the number of ways to choose 5 hearts from 13: C(13, 5) = 13! / (5! * (13 - 5)!).

Step 3: Calculate the probability by dividing the number of favorable outcomes (choosing 5 hearts) by the total number of possible outcomes (choosing 7 cards from the deck): P(5 hearts) = C(13, 5) / C(52, 7).

Step 4: Evaluate the probability numerically using a calculator or math software, and the result is approximately 0.00000962.

Therefore, the correct answer is option (d) 0.00000962.

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The statements about the given bar graph that are false are Statments A and B while Statement C is is True.

From the bar graph attached, we can see the different amount of times that different lengths of ribbons occur. Thus, we can answer the questions;

A) From the given graphs, we see that the ribbon that occurs the most is ribbon with length 10⁴/₈ as it occurs 7 times. Thus, statement A is False.

B) From the graph, the shortest length is 9⁷/₈ while the longest length is 11²/₈. Thus;

Sum of the longest and shortest lengths = 9⁷/₈ + 11²/₈ = 22¹/₈

Thus, statement B is false.

C) Difference between the longest and shortest lengths = 11²/₈ - 9⁷/₈ = 11/8 = 2¹/₈

Thus, statement C is True

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In regression analysis, if the dependent variable is measured in dollars, the independent variable can be units.

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theres question marks where the exponent is supposed to go

Answer:

x=(2,-5.3)

Step-by-step explanation:

Hope this helps

The revenue function is given by R(x) = x p(x) dollars where x is the number of units sold and p(x) is the unit price. If p(x) = 41(4), then the revenue if 10 units are sold is 1640 dollars.

The given revenue function is given by:

R(x) = x p(x) dollars where x is the number of units sold and p(x) is the unit price and p(x) = 41(4).

To find the revenue if 10 units are sold, substitute the value of x = 10 in the revenue function.

R(x) = x p(x) dollars

Given, p(x) = 41(4)p(10) = 41(4) = 164

Substitute p(10) and x = 10 in the revenue function,

R(x) = x p(x) dollars

R(10) = 10 × 164 = 1640 dollars

Therefore, the revenue if 10 units are sold is 1640 dollars.

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Answer:y= x + 7 +10

Step-by-step explanation:

Answer:

its y = x-5 -10

Step-by-step explanation:

b on edge 2020

We can calculate the double integral over the region in the xy-plane where the two paraboloids intersect.The volume can then be calculated as V = ∫∫(8 - r^2) - (r^2) * r dr dtheta over the region.

The intersection of the two paraboloids occurs when x^2 + y^2 = 8 - x^2 - y^2. Simplifying this equation, we get 2x^2 + 2y^2 = 8, which further simplifies to x^2 + y^2 = 4.This equation represents a circle of radius 2 in the xy-plane centered at the origin. Thus, we need to calculate the volume of solid bounded by this circle in the xy-plane and the two paraboloids.

Using polar coordinates, we can write x = rcos(theta) and y = rsin(theta). The limits of integration for r would be from 0 to 2 (radius of the circle) and for theta from 0 to 2*pi (complete revolution around the circle).

The volume can then be calculated as V = ∫∫(8 - r^2) - (r^2) * r dr dtheta over the region described above.Evaluating this integral will yield the volume of the solid. The result can be written as a reduced fraction in terms of π.

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