in which table does y vary inversely with x?

Answer:

-1/2

Step-by-step explanation:

slope is  [tex]\frac{y_{2}- y_{1}}{x_{2}-x_{1}}[/tex]

so:

[tex]\frac{6-8}{12-8} = -\frac{2}{4} = -\frac{1}{2}[/tex]

Answer:

C

Step-by-step explanation:

The abscissa is the value of the x- coordinate and the ordinate is the value of the y- coordinate.

Since the point is in the second quadrant then x- coordinate will be negative and the y- coordinate positive.

C is the only point which meets this condition and

- 3 = 2(1) - 5 = 2 - 5 = - 3 ( 5 less than twice the ordinate) → C

Answer:

0

Step-by-step explanation:

Please check attachment for complete solution

Answer:

D. 0

Step-by-step explanation:

last option

Answer:

4

Step-by-step explanation

+8  + (-7)  + (+11) + (-2)= 4

The value of the series plays is 10.

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

In this question, we have to find the total amount of points, considering the number of points on each series.

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

The total is:

[tex]T = 8 - 7 + 11 - 2 = 1 + 9 = 10[/tex]

10 points.

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Answer:

-4.81647993062

Step-by-step explanation:

Look at the image below ↓

Based on the mathematical analysis, the value of log 0.5^16 is -4.816.

A logarithm is a mathematical term that is used to describe the exponent or power to which a base must be raised to yield a given number.

In this case, to calculate the value of log0.5^16 use logarithm properties.

rewrite the expression as log(0.5)^(16).

=> log(a^b) = b * log(a)

=> 16 * log(0.5).

Given that the Logarithm is the inverse of exponentiation => log(0.5) is equal to -0.301.

Substitute this value back into the expression:

16 * (-0.301) = -4.816.

Hence, in this case, it is concluded that the correct answer to the value of log 0.5^16 is -4.816.

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Answer:

A

Step-by-step explanation:

The line from the vertex to the base is a perpendicular bisector and divides the isosceles triangle into 2 right triangles.

Using Pythagoras' identity in either of the 2 right triangles, then

([tex]\frac{1}{2}[/tex] x )² + 3² = ([tex]\sqrt{45}[/tex] )²

[tex]\frac{1}{4}[/tex] x² + 9 = 45 ( subtract 9 from both sides )

[tex]\frac{1}{4}[/tex] x² = 36 ( multiply both sides by 4 to clear the fraction )

x² = 144 ( take the square root of both sides )

x = [tex]\sqrt{144}[/tex] = 12 → A

Answer: 300 mi.

Step-by-step explanation:

Let t be the time taken to drive to the park (at 60 mph)

Let t + 1 be the time taken to drive home from the part (at 50 mph)

Distance to the park = 60t

Distance from the park = 50(t + 1)

Obviously the distances should be the same so equate them.

60t = 50(t + 1)

60t = 50t + 50

10t = 50

t = 50/10

t = 5 hours

Now figure the distance.  You can use either equation for the distance to or from the park:

60t = 60(5) = 300 miles

or

50(t+1) = 50(6) = 300 miles

The distance to or from the park will be 300 miles.

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Let assume t be the time taken to drive to the park (at 60 mph).

Let assume t + 1 be the time taken to drive home from the part (at 50 mph)

The Distance to the park = 60t

The Distance from the park = 50(t + 1)

Obviously the distances should be the same, so equate them;

60t = 50(t + 1)

60t = 50t + 50

10t = 50

t = 50/10

t = 5 hours

Now figure the distance. We can use either equation for the distance to or from the park:

60t = 60(5) = 300 miles

50(t+1) = 50(6) = 300 miles

Therefore, the distance to or from the park will be 300 miles.

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Question:

Zach tries to solve an equation step by step;

[tex]\frac{3}{4} = z - \frac{1}{2}[/tex]

Step 1:

[tex]\frac{3}{4} + \frac{1}{2} = z - \frac{1}{2} + \frac{1}{2}[/tex]

Step 2:

[tex]\frac{3}{4} + \frac{1}{2} = z[/tex]

[tex]\frac{5}{4} = z[/tex]

Find Zach's mistake;

Answer:

Zach didn't make any mistake

Step-by-step explanation:

Given: the steps above

At step 1, he applied addition property of equality by adding [tex]\frac{1}{2}[/tex] to both sides of the equation

Step 2 is a result of step 1 and he rightly added the fractions

Further Explanation;

[tex]\frac{3}{4} = z - \frac{1}{2}[/tex]

Add [tex]\frac{1}{2}[/tex] to both sides

[tex]\frac{3}{4} + \frac{1}{2} = z - \frac{1}{2} + \frac{1}{2}[/tex]

[tex]\frac{3}{4} + \frac{1}{2} = z[/tex]

Take LCM of fractions at the left hand side

[tex]\frac{3 + 2}{4} = z[/tex]

[tex]\frac{5}{4} = z[/tex]

Reorder

[tex]z = \frac{5}{4}[/tex]

Analyzing the steps one after the other, we can conclude that Zach didn't make any mistake;

Answer:

C: Zach did not make a mistake

Step-by-step explanation:

SO IT NOT CONFUSING

+

GOT IT ON KHAN

(p.s. can u give me brainliest?)

Answer:

A. 20

Step-by-step explanation:

We are given the expression:

8-(2g-5)

and asked to find the value of the expression when g=-3.5. Therefore, we must plug -3.5 in for g.

8- (2(-3.5)-5)

Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.

First, solve inside the parentheses. Begin by multiplying 2 and -3.5

8-(-7-5)

Next, subtract 5 from -7

8-(-12)

Finally, subtract -12 from 8.

8+12

20

The value of the expression 8-(2g-5)  when g=-3.5 is 20. Therefore A. 20 is correct.

Answer:

He should use the negative 1 unit tile.

Step-by-step explanation:

He should do this because in this equation you wish to isolate the variable on one side, and it would be better to first take away any constants. Afterwards, the variable would be next.

Answer:  It does not matter which he does first. Either way, zero pairs will be created on both sides, which will isolate the variable to determine x. Adding the x-tiles and then the unit tile, or visa versa, will give the same solution.\

Explanation: that's what i put and i got it right

PLZZZZZ MARK ME BRAINIEST

Answer:

[tex]\large \boxed{\sf \ \ x^2 + 7x + 5 \ \ }[/tex]

Step-by-step explanation:

[tex]\mathrm{\sf (-3x^2 + 2x -4) + (4x^2 + 5x + 9)}[/tex]

Remove brackets.

[tex]\large{\sf -3x^2 + 2x -4 + 4x^2 + 5x + 9}[/tex]

Group like terms.

[tex]\large{\sf -3x^2 + 4x^2 + 2x + 5x + 9 -4}[/tex]

Combine like terms.

[tex]\large{\sf x^2 + 7x + 5}[/tex]

The simplified form of this expression (-3x² + 2x − 4) + (4x² + 5x + 9) is determined as x² + 7x + 5.

To simplify the given expression, we need to combine like terms.

The given expression;

(-3x² + 2x − 4) + (4x² + 5x + 9)

Let's start by combining the terms with the same degree of x:

Combine the x² terms:

(-3x² + 4x²) + 2x - 4 + 5x + 9

Simplify further;

x² + 7x + 5

Thus, the simplified form of this expression (-3x² + 2x − 4) + (4x² + 5x + 9) is determined as x² + 7x + 5.

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Answer:

m=30e

Step-by-step explanation:

30 minutes for each evening, 2 evenings, 60 minutes

Hope this helped!

The most suitable equation that would express the time Duarte spends to play chess with his dad is m= 30e

Number of minutes each evening= 30 mins=m

They played together every evening= e.

Therefore, the equation that would express the time Duarte spends to play chess with his dad is m = 30e.

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=========================================

Explanation:

We could use the AC factoring method here. Multiply the first coefficient (10) with the last term (3) to get 10*3 = 30.

We need to find factors of 30 that add to 11

1+30 = 31

2+15 = 17

3+10 = 13

5+6 = 11

we have found the pair of factors that add to 11. So we'll break the 11x into 5x+6x and then use factor by grouping method

10x^2 + 11x + 3

10x^2 + 5x + 6x + 3

(10x^2 + 5x) + (6x + 3)

5x(2x + 1) + 3(2x + 1)

(5x+3)(2x+1)

We see the two factors are 5x+3 and 2x+1.

To check the answer, use either the box method, distribution, or FOIL rule to expand out (5x+3)(2x+1) and you should get 10x^2+11x+3 again.

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

As an alternative, you can solve 10x^2+11x+3 = 0 through any method you prefer (graphing, completing the square, quadratic formula). The quadratic formula is the best option as it works for any quadratic. The two solutions you should get are x = -3/5 and x = -1/2

Using x = -3/5 and x = -1/2, we can do the following

Note how we have the 5x+3 and 2x+1 as found in the section above. At this point we can stop as we found the factors needed. I'm using the zero product property which says that if A*B = 0, then either A = 0 or B = 0.

Answer:

35.1

Step-by-step explanation:

There's a formula that i've linked as an image

Basically, substitute all 3 sides and the length into that formula, chuck it into the calculator and viola.

Or... we can use pythagoras' theorem and get the height of the triangle Height = [tex]3^{2}[/tex] - [tex]1.5^{2}[/tex] = 2.6

Area of triangle = (3 * 2.6) / 2 = 3.9

Volume = 3.9 * 9

Volume of prism = 35.1

Answer: None of them

I think your teacher made a typo. See explanation below for details

=================================================

Explanation:

With math problems like this one, it is often very tricky to find integer solutions. Luckily, we're given a list of choices. Let's plug them in one at a time and see what happens.

If y = 5, then

y^2 - 7x^2 = 11

5^2 - 7x^2 = 11

25 - 7x^2 = 11

-7x^2 = 11-25

-7x^2 = -14

x^2 = -14/(-7)

x^2 = 2

But x^2 = 2 does not have any integer solutions. The two solutions are irrational. So we can rule out choice F.

Repeat for y = 4 and you should find that x^2 = 5/7, which also does not have any integer solutions. Choice G can be ruled out.

Choices H through K are even worse. Not only are there no integer solutions, but there aren't any real number solutions either (there are complex or imaginary solutions though). Plugging in y = 3 leads to x^2 = -2/7 which has imaginary solutions due to applying the square root to a negative radicand. Similar situations happen with J and K as well.

In summary, none of these answer choices are valid. We need to have two integers x and y that satisfy the equation. I think your teacher made a typo somewhere.

Answer:

slope = [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 2) and (x₂, y₂ ) = (3, 3) ← 2 points on the line

m = [tex]\frac{3-2}{3-0}[/tex] = [tex]\frac{1}{3}[/tex]

Answer:

Slope=1/3

Step-by-step explanation:

we kown,

m=y2-y1/x2-x1

then you should take two point where line should be passing through these two pionts.

In graph you can see that (0,2) and(-3,1) are passing points of the line.

Here, x1=0

x2= -3

y1=2

y2=1

Now,

m= 1-2/ -3-0

= -1/ -3

=1/3

So, The slope of the line is 1/3.

I hope this will be helpful for you.

Answer:

$15+x

x in dollars

Step-by-step explanation:

Subscription per month=$15

Cost of each downloaded song per month=$15 + 1

If x number of songs are downloaded in a month

The cost of downloading x songs= $15 + x

Where,

$15 = fixed cost ( subscription)

x= variable cost( each unit of songs downloaded)

If 20 songs are downloaded in a month.

The cost of downloading the 20 songs

=$15+$20

=$35

Answer:The hight of such a stamp block would have to be 26 cm high by 24 cm wide

Step-by-step explanation: The way that i got my answer was by using this equation A+B=C

1.) 30cm+20cm=50cm

2.) 24cm+x=50cm

3.)50cm-24cm=x

4.)26cm=x

Answer:

A. (-1,1)

Step-by-step explanation:

6x+2y = 8    

-2y =-2          

6x=6              

6x=6                  

X=1

Answer:

1. 7

2. 6

[tex]3. 3\sqrt{5}[/tex]

4?

5. [tex]8\sqrt{10}[/tex]

6.[tex]5\sqrt{3}[/tex]

7. [tex]-1+\sqrt{3}[/tex]

Step-by-step explanation:

1. [tex]\sqrt{7} *\sqrt{7} =\sqrt{49}=7[/tex]

2. [tex]\sqrt{18}*\sqrt{2} =\sqrt{36}=6[/tex]

3.[tex]\sqrt{45}=\sqrt{9^{2}*5 }=3\sqrt{5}[/tex]

4. here there are two cases

[tex]\sqrt{\frac{50}{5} }=\sqrt{10}[/tex]

[tex]\frac{\sqrt{50} }{5} =\frac{5\sqrt{2} }{5} =\sqrt{2}[/tex]

5. [tex]2\sqrt{2} *4\sqrt{5} =8\sqrt{10}[/tex]

6. [tex]\sqrt{48}- \sqrt{12} =4\sqrt{3} -2\sqrt{3} =2\sqrt{3}[/tex]

7. [tex](2-\sqrt{3} )(1+\sqrt{3} )=2+2\sqrt{3}-\sqrt{3} -3=-1+\sqrt{3}[/tex]

Answer:

The first graph(Left)

Step-by-step explanation:

Because in this form 1/2 is the slope and -5 is the y intercept.

Answer:

Graph B

Step-by-step explanation:

Without even having to look at the numbers, we can see the answer is graph B because the slope in the function is positive, and B is the only positive graph! (rising when approaching positive infinity)

Hope this helped! :)

Answer:

x = 904 and y = 18

Step-by-step explanation:

Let's start by calculating x

Let's use the pythagorian theorem to find y

Answer:

I hope you will get help from these...

Answer:

HOPE IT HELPS. PLEASE MARK IT AS BRAINLIEST

Answer:

Step-by-step explanation:

2-3+5/16 = -1+5/16 = 4/16 = 1/4 = 0.25

hope it helps

Answer:

3:1

54:18

Step-by-step explanation:

You can divide both sides by 9 to get one ratio:

27/9:9/9

3:1

You can also multiply both sides by 2 to get another ratio:

27(2):9(2)

54:18

Answer:

D. For each additional room in the house, the appraised value is estimated to increase $74,800

Step-by-step explanation:

The statistical model is used to predict the appraised value of houses in East Meadows. The value of a house is determined by using variables. The regression model helps to analyse the value of a house. It is predictive modelling technique which determines a relationship between dependent and independent variable.

Answer:

21 + 12i

Step-by-step explanation:

Given

(3 - 4i)(1 + 5i) - (2 - i) ← expand the product of factors using FOIL

= 3 + 11i - 20i² - 2 + i ( note i² = - 1 )

= 3 + 11i + 20 - 2 + i ← collect like terms

= 21 + 12i

Answer:

The answer is

Step-by-step explanation:

(3-4i)(1+5i)-(2-i)

Expand the terms in the bracket first

That's

3 + 15i - 4i - 20i² - ( 2 - i)

Remove the bracket

3 + 15i - 4i - 20i² - 2 + i

Group like terms

- 20(-1) + 15i - 4i + i + 3 - 2

15i - 4i + i + 20 + 3 - 2

Simplify

We have the final answer as

Hope this helps you

Answer:

30.5 cm

Step-by-step explanation:

0 < h ≤ 10 ⇔ Midpoint = 5

10 < h ≤ 20 ⇔ Midpoint = 15

20 < h ≤ 30 ⇔ Midpoint = 25

30 < h ≤ 40 ⇔ Midpoint = 35

40 < h ≤ 50 ⇔ Midpoint = 45

50 < h ≤ 60 ⇔ Midpoint = 55

⇒ Multiply each corresponding midpoint with it's frequency

(5 × 1) + (15 × 4) + (25 × 7) + (35 × 2) + (45 × 3) + (55 × 3) = 610

⇒ Divide the total of 610 by the frequencies added together

610 ÷ (1 + 4 + 7 + 2 + 3 + 3) = 610 ÷ 20 = 30.5

Answer:

see explanation

Step-by-step explanation:

If Dan earns $x then Bob earns $3x ( 3 times as much as Dan ), then

x + 3x = 72 , that is

4x = 72 ( divide both sides by 4 )

x = 18

Thus

Dan earns $18 and Bob earns 3 × $18 = $54

The earning of Bob will be 54 dollars and the earning of Dan will be 18 dollars.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

Let the earning by Bob be x and the earning by Dan be y.

Bob and Dan earned a total of $72 shoveling snow. Then the equation will be

x + y = 72 ...1

If Bob earned 3 times as much as Dan. Then the equation will be

x = 3y   ...2

Substitute the value of x in equation 1, then the equation will be

3y + y = 72

     4y = 72

       y = $18

Then the money earned by Bob will be

x = 3y

x = 3(18)

x = $54

Thus, the earning of Bob will be 54 dollars and the earning of Dan will be 18 dollars.

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