Evaluate 2x3 – 3 when x is 2.
Helpp

(-5, -1) is not a solution to the equation 2y = 2x - 4.

Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.

We have,

2y = 2x - 4 _____(1)

Ordered pair: (-5, -1)

Now,

(-5, -1) = (x, y)

Substitute in (1)

2y = 2x - 4

2 x (-1) = 2 x (-5) - 4

-2 = -10 - 4

-2 = -14

This is not true.

Thus,

(-5, -1) is not a solution.

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Answer:

y - 7 = m(x + 3)

Step-by-step explanation:

Apply the point-slope formula:  y - k = m(x - h)

Then we have y - 7 = m(x + 3)

Answer:

31 degrees

Step-by-step explanation:

Answer:

31 Degrees

Step-by-step explanation:

Since this is a right angle, it will equal 90 degrees.

Take 90 and subtract 59 to get g.

g = 31 degrees

Step-by-step explanation:

The distance from the surfer to the shoreline will be found as follows:

tan θ= opposite/adjacent

θ=10°

opposite=7ft

adjacent= x ft

substituting the values in our formula and solving for x we get

tan 10=7/x

hence

x=7/tan10

x=39.69897~ 39.7 ft

The surfer is 39.7 ft from the shoreline.

Answer:

The surfer is 39.7 ft from the shoreline.

Step-by-step explanation:

Answer:

down below

Step-by-step explanation:

x = y/7 + 61/7

y= 7x - 61

Answer:

30.4%

Step-by-step explanation:

Given data

originally price $457

new price= $318

Required

The percent mark down

Percent markdown= original- new/original*100

substitute

Percent markdown= 457- 318/457*100

Percent markdown= 139/457*100

Percent markdown=0.304*100

Percent markdown=30.4%

Hence the price was reduced by 30.4%

Answer: b

Step-by-step explanation: because five hunderedths is bigger than nine hundredthe which is not equal

please give me brainLYEST I really need it please give me I beg you

Answer: 8x = 72

Step-by-step explanation:

and in case you need to go any further at any point, x = 9

Answer:

65%,  2/3,  0.68

Step-by-step explanation:

0.68 = 0.68

2/3 = 0.66666...

65% = 0.65

Answer:

1

Step-by-step explanation:

Using the general exponent rule, that

[tex]a^{0}[/tex] = 1, so

[tex]7^{0}[/tex] = 1

Answer:

The steak per pound : 2/4 = $1/2=$0.5/ pound

Is it 1 dollar for 2 pound  :   It's correct

Step-by-step explanation:

Answer:

(16,60)

Step-by-step explanation:

To answer the questions, we need to understand the utility functions and budget constraints for both Joey and Jim. Let's break it down step by step:

Joey's Utility Function and Budget Constraint:

Joey's utility function for whisky (w) and beer (b) is given by: U(w, b) = 5 + (w^0.3 * b^0.7)

w: The quantity of whisky (in bottles) consumed by Joey

b: The quantity of beer (in cans) consumed by Joey

Joey spends £75 in total on drink. The cost of beer is £2 per can, and the cost of whisky is £6 per bottle.

To find how many cans of beer and bottles of whisky Joey consumes, we need to maximize his utility function while staying within his budget constraint.

Joey's Budget Constraint:

Joey's total expenditure on drink (E) is given by: E = 2b + 6w

And we know that E = £75.

So, the budget constraint is: 2b + 6w = 75

Now, we can solve this problem using optimization techniques. However, without specific numerical values for the utility function and budget constraint, it's not possible to determine the exact quantities of beer and whisky consumed by Joey. We can only find the optimal consumption bundle if the specific values are given.

Joey's Indifference Curve and Budget Constraint Diagram:

To illustrate Joey's optimal consumption bundle, we would need to plot his indifference curve (representing his preferences) and his budget constraint (showing all possible affordable combinations of beer and whisky). However, without the exact values, we cannot draw the diagram.

Jim's Utility Function and Consumption:

Jim's utility function for beer (b) and whisky (w) is given by: U(b, w) = min{5, (w^0.3 * b^0.7)}

Jim's utility function shows that he insists on drinking beer and whisky together, and his utility is the minimum of 5 and the product of whisky and beer raised to certain powers.

Again, without specific numerical values for the utility function, we cannot determine the exact quantities of beer and whisky consumed by Jim.

In summary, to fully answer the questions, we would need the specific numerical values for the utility function and the budget constraint. With those values, we could then calculate the optimal consumption bundles for both Joey and Jim.

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Answer:

[tex]2^{4}*3^{3}*5[/tex]

Step-by-step explanation:

[tex]\frac{x^{n} }{x^{y}}=x^{n-y}[/tex]

This means that we just subtract the exponents with identical bases so

2⁷/2³=2⁴ (7-3)

3⁶/3³=3³ (6-3)

5⁸/5⁷=5 (8-7) put them together and you get the answer

Answer:

13-h is h less than 13. this is how you answer this.

Hey there!

Sometimes “less than” means “>” ( a number smaller than the number that’s being compared to) or “subtraction”

So, therefore your answer should be

[h < 13] or [h - 13]

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

Slope, [tex]m=\dfrac{-1}{2}[/tex]

Step-by-step explanation:

We need to find the slope of the line passes through the points (-3, -3) and (-5, -2).

The formula for the slope of a line is given by :

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Put x₁ = -3, y₁ = -3, x₂ =-5 and y₂ = -2

So,

[tex]m=\dfrac{-2-(-3)}{-5-(-3)}\\\\m=\dfrac{-1}{2}[/tex]

So, the slope of the line is [tex]\dfrac{-1}{2}[/tex].

Answer:

Rational

Step-by-step explanation:

Here, we want to check if the given value is rational or irrational

If a certain number is a non -perfect square, and it is placed inside the root, then it is a surd and thus termed irrational

However, the number 20.25 is a perfect square. in fact the square root is 4.5

This mean the expression is not irrational

Answer:

124.8 and 39.6

Step-by-step explanation:

120 * .04 = 4.8

it says to increase so 120 + 4.8 = 124.8

45 * .12 = 5.4

it says to decrease so 45 - 5.4 = 39.6

Answer:

x=266

Step-by-step explanation:

I'm sure if this is correct but this is how I did it seven times eight is 56 and you have to subtract that number by x so x would have to be bigger so it would be 56 minus 266

will give you 210

Answer:

x=-22

Step-by-step explanation:

7(8-x)=210

you would use the distributive property

56-7x=210

then subtract both sides by 56

-7x=154

then divide both sides by -7

x=-22

Answer:

42

Step-by-step explanation:

Answer:

I'm not 100% sure about this but i think its 42

Step-by-step explanation:

this is what i did

32/16=2

2*21=42

Answer:

2^3*5^2*3

Step-by-step explanation:

600=2*2*2*5*5*3=2^3*5^2*3

Answer:

three times the two foot wave wuold be the six foot wave

Step-by-step explanation:

because its right

Answer:

4 by 5 inch rectangle

Step-by-step explanation:

Answer:

4 by 5 inch rectangle

Step-by-step explanation:

Loading . . .

Answer:

Yes

Y being 1 is less than x being 8 + 9

Answer:

y=29

x=9

Step-by-step explanation:

plug the first equation into the second one as y

2x+y=47

solve

then plug answer u got in x

y=3(9)+2

solve

Answer:

x=4

Step-by-step explanation:

5x-4=16

5x-4+4=16+4   add 4 to each side

5x=20              simplify

5x/5=20/5       divide each side by 5

x=4                   simplify