Using y = 1 − 2x, plot the ordered pairs from the table. Then graph the function represented by the ordered pairs and tell whether the function is linear or nonlinear.
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The current depth of the hole is at least 20 feet below ground level.

Inequality is an expression that shows the non equal comparison of numbers and variables.

Let d represent the current depth of the hole.

To be at least 40 feet below ground level, he need more than 2 times its current depth.

2d < -40

d < -20

Hence the current depth of the hole is at least 20 feet below ground level.

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Answer:

20 feet below

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let x or y be the variable in each case.

1. Twice the product of the numbers ... x and y (just a guess, its incomplete):

2. Seven less than a number:

3. The sum of three consecutive numbers:

4. The sum of two consecutive even numbers is 42:

5. The sum of a number and 5 times its reciprocal:

6. Four more than twice a number:

7. The square of a number increase by five:

8. The sum of two numbers is equal to four more than their difference:

9. Rian's age four years from now:

10. Clara's age 10 year from now​:

Step-by-step explanation:

1. Let, Number = x

2x

2. Let, Number = x

x - 7

3. Let,

Consecutive numbers = x, x + 1 and x + 2

x + x + 1 + x + 2

3x + 3

4. Let,

Consecutive numbers = a and a + 2

a + a + 2 = 42

2a + 2 = 42

5. Let, Number = x

Reciprocal = 1/x

x + 5/x

6. Let, Number = y

2y + 4

7. Let, Number = y

(x + 8)²

x² + 16x + 64

8. Let,

First number = x

Second number = y

x + y = 4 + (x - y)

9. Let,

Rian's age = y

y + 4

10. Let,

Clara's age = y

y + 10

Answer:

(1/5 x 5) to the 5th power = 1

Answer:

22.40 feeds

Step-by-step explanation:

multiply it

Answer:

8

Step-by-step explanation:

diameter is the radius times 2

Answer:

x = 5

Step-by-step explanation:

2x+15 = 4x+5 (because they are corresponding angles)

10 = 2x

x = 5

Answer:

x = 5

Step-by-step explanation:

Answer:

[tex]y_1=0,y_2=\frac{3}{2},y_3=\frac{3}{2}[/tex]

Step-by-step explanation:

[tex]4y^3-9y=0[/tex]

[tex]y(4y^2-9)=0[/tex]

[tex]y(2y-3)(2y+3)=0[/tex] <-- Difference of squares

[tex]y_1=0,y_2=\frac{3}{2},y_3=\frac{3}{2}[/tex]

[tex]\begin{array}{ccll} \stackrel{guys}{good}&\stackrel{guys}{bad}\\ \cline{1-2} 15&4\\ 75&x \end{array}\implies \cfrac{15}{75}=\cfrac{4}{x}\implies \cfrac{1}{5}=\cfrac{4}{x}\implies x = 20[/tex]

Number of bad guys = 12

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

Given,

Ratio of good to bad guys = 15:4 = 15/4

No. of good guys = 75

Let the no. of guys be x

⇒ 15:4 = 75:x

⇒ 15/4 = 75/x

Cross multiplying

15 x = 75×4

x = (75/15)×4

No. of bad guys = (75/15)×4

                           = 3 × 4

No. of bad guys = 12

Hence, there are 12 bad guys.

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Answer:

  N is at -2 on the number line

Step-by-step explanation:

The location of point N can be found by writing the segment lengths as a proportion.

  ON : NP = 4 : 8

  8(ON) = 4(NP) . . . . . . . . "cross multiply"

  2(N -O) = (P -N) . . . . . divide by 4, show lengths ON and NP

  2(N -(-7)) = 8 -N . . . . . use given values of O and P

  3N = -6 . . . . . . . . . . . add N-14 and simplify

  N = -2 . . . . . . . . . . divide by 3

Point N is at -2 on the number line.

If the ratio of ON to NP is 4:8, point N lie on the -2 at the number line.

Point O is at -7.

Point P is at 8.

The ratio of ON to NP is 4:8.

The ratio 4:8 simplifies to 1:2. This means that ON is one-third of the total distance from O to P, and NP is two-thirds of the total distance.

The total distance from O to P is the sum of the distances between O and N, and between N and P.

As the ratio of ON to NP is 1:2, and the total distance is 15 (8 - (-7) = 15), we can set up the following equation:

ON/NP = 1/2

ON/(15 - ON) = 1/2

Now we can solve for ON:

2 × ON = 15 - ON

3 × ON = 15

ON = 5

So, ON is 5 units away from O.

Now O is at -7, point N is at -7 + 5 = -2 on the number line.

So, N is at -2.

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Answer:

6x = 54; x = 9 times older

Step-by-step explanation:

we have: -10/4 = -2.5 ⇒ -2 > -2.5 > -3

ANSWER : -2 and -3

ok done. Thank to me :>

Answer:

To find the value of sin 450 degrees using the unit circle, represent 450° in the form (1 × 360°) + 90° [∵ 450°>360°] ∵ sine is a periodic function, sin 450° = sin 90°.

Answer:

1

Step-by-step explanation:

To find the value of sin 450 degrees using the unit circle, represent 450° in the form (1 × 360°) + 90° [∵ 450°>360°] ∵ sine is a periodic function, sin 450° = sin 90°.

Rotate ‘r’ anticlockwise to form a 90° or 450° angle with the positive x-axis.

The sin of 450 degrees equals the y-coordinate(1) of the point of intersection (0, 1) of unit circle and r.

Hence the value of sin 450° = y = 1

Answer:

Factors of 42: 1, 2, 3, 6, 7, 14, 21 and 42.

Step-by-step explanation:

:)

Step-by-step explanation:

I assume you mean how do you divide a fraction by a whole number

In order to divide a fraction by a whole number we must use the KFC rule or the "Keep, flip, change" rule

The "Keep" means we keep the first fraction the same.

Next, we "flip" the second fraction (or in this case number; however it can be made into a fraction by putting it over 1). So now we have 4/10 divided by 1/2

Then we "change" the symbol so instead of dividing the fraction, we change the divide to a multiply.

Lastly, you just multiply the fractions as you usually would and you should end up with 4/20 which simplifies to 1/5 if my maths is correct.

Hope this helps.

Answer:

you can use KCF for this answer as well

Step-by-step explanation:

2 as a fraction would be 2/1

you need 4/10 divided by 2/1

applying KCF, you change it to be 4/10 multiplied by 1/2

solve to get 4/20 or simplified 1/5

hope this helped :)

Answer:

-2) -14

0) -8

2) -2

4) 4

Step-by-step explanation:

Plug in each input for x, and solve for y

Answer: 2) -140) -82) -24) 4

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

12 / 13 = x / 13

Cross Multiply,

12 * 13 = 13 * x

x = ( 12 * 13 ) / 13

x = 12

Answer:

B. conversion of feet to inches

Step-by-step explanation:

there are 12 inches in one foot.

Answer:

-5x - 6y

Step-by-step explanation:

Firstly,  you remove any uncessary parentheses and collect like terms.

So that becomes -8x - 6y + (3x)

Hence, the brackets can be removed, which means we can continue to collect like terms which gives the final answer of -5x - 6y

Answer:

84% decrease

Step-by-step explanation:

100 - 80 = 20%

80% = 4/5

300 * 4/5 = 240

100 - 40 = 60%

60% = 3/5

240 * 3/5 = 48

48/300 = 4/25 = 16%

100 - 16 = 84%

Answer:

Your anwser would be A mark brainliest please and thank you

Step-by-step explanation:

Answer:

Solution given in the photo

[tex]8(6x-7)<5(9x-4)\\\\\implies 48x- 56<45x -20\\\\\implies 48x-45x -56<-20\\\\\implies 3x < -20 +56\\\\\implies 3x<36\\\\\implies x < \dfrac{36}3\\\\\implies x<12\\\\\text{Interval,}~ (-\infty,12)[/tex]

Answer:

12

Step-by-step explanation:

its just twelve beliebe me

Set up figure, side length x, and width x-7. Set equation up

[tex]228 = (x)(x - 7) \\ 228 = {x}^{2} - 7x \\ {x}^{2} - 7x - 228 = 0 \\ (x - 19)(x + 12) = 0 \\ x = - 12 \\ x = 19[/tex]

Since the value x, cannot be negative, x is equal to 19. Therefore the length is 19, width 12 (19-7)

Answer:

LQ = 5

Median = 6

Step-by-step explanation:

[tex]\frac{n+1}{2}[/tex] gives us 5.5, so we do the average of position 5 and 6. This gives us 6, so the median is 6.

Now we find the median of the bottom half of the numbers, which is 5, so the LQ is 5.

Now we find the median of the upper half of the numbers, which is 7, so the UQ is 7.

Answer:10/6 cups of sugar is the answer to this equation being the correct answer.

Step-by-step explanation:

What is the "theoretical yield" of cookies from each of the "reactants?"