The gardening club at school is growing vegetables. The club has 300 square feet of planting beds. Cucumber plants require 6 square feet of growing space, and tomato plants require 4 square feet of growing space. The students want to plant some of each type of plant and have at least 60 plants.
Select all of the equations or inequalities that could describe this situation. Let c represent the number of cucumber plants and t represent the number of tomato plants.

Answer:

3. increasing

4. decreasing

Step-by-step explanation:

well for graph 3 the values are increasing

and for graph 4 the values are decreasing

Answer:

YOU'RE RIGHT GOOD JOB :)

Step-by-step explanation:

Answer:

x = 8 and y = 4

Step-by-step explanation:

I hope it helped you:)

Mark me as brainliest please!:(

Using Simpson's rule with 4 subintervals, the length of the curve is approximately 4.2011 units.

Using Simpson's rule, the formula for approximating the length of each subinterval.

Divide the interval [1, 2] into smaller subintervals. Let's choose a value of n = 4, which means we will have 4 subintervals.

The subinterval width, h, is calculated as (2 - 1) / n = 1/4 = 0.25.

The subinterval endpoints will be:

x0 = 1.00

x1 = 1.25

x2 = 1.50

x3 = 1.75

x4 = 2.00

Calculate the function values for each endpoint. Substituting the x-values into the equation y = (x³)/3 + (1/4x), we get:

y0 = (1³)/3 + (1/(41)) = 1.0833

y1 = (1.25³)/3 + (1/(41.25)) = 2.0156

y2 = (1.50³)/3 + (1/(41.50)) = 3.6250

y3 = (1.75³)/3 + (1/(41.75)) = 6.2530

y4 = (2³)/3 + (1/(4 × 2)) = 9.0000

Apply Simpson's rule to approximate the length:

L ≈ (h/3) × [y0 + 4y1 + 2y2 + 4y3 + y4]

L ≈ (0.25/3) × [1.0833 + 4(2.0156) + 2(3.6250) + 4(6.2530) + 9.0000]

L ≈ (0.25/3) × [1.0833 + 8.0624 + 7.2500 + 25.0120 + 9.0000]

L ≈ (0.25/3) × [50.4077]

L ≈ 0.0833 × 50.4077

L ≈ 4.2011

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A 40 gram sample of a substance that’s used for drug research has a k-value of 0.1472. The substance's half-life, in days, is approximately 4.7 days.

The half-life of a substance is the time it takes for half of the substance to decay or undergo a transformation. The half-life can be determined using the formula:

t = (0.693 / k)

where t is the half-life and k is the decay constant.

In this case, we are given that the sample has a k-value of 0.1472. We can use this value to calculate the half-life.

t = (0.693 / 0.1472) ≈ 4.7 days

Therefore, the substance's half-life, rounded to the nearest tenth, is approximately 4.7 days.

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Answer:

-2,-1,1,2

Step-by-step explanation:

The term root is just another name for the x intercept so just look at where your line crosses the x axis and you will have your answer. Remember the y axis is not involved so it cannot be a co-ordinate.

Answer:

28

hope this answer helps you...

\(\huge\text{Hey there!}\)

\(\mathsf{7 + 6 - 9 \times(-2) + (-3)}\)

\(\mathsf{7 + 6 = \bf13}\)

\(\textsf{\bf 13}\textsf{ - 9 (-2) - 3}\)

\(\mathsf{9(-2) = \bf -18}\)

\(\textsf{13 - \bf(-18) }\textsf{- 3}\)

\(\mathsf{13 + 18 = \bf 31}\)

\(\mathsf{\bf 31}\textsf{ - 3}\)

\(\mathsf{\bf 28}\)

\(\boxed{\boxed{\large\text{Answer: \huge \bf 28}}}\huge\checkmark\)

\(\text{Good luck on your assignment and enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

Answer:

=6

Step-by-step explanation:

Answer: The first 3 options

Step-by-step explanation:

You have to make sure that the given variable would be able to equal -5. The  \(\geq\) sign in the second and third answer show that the variable could be equivalent to -5.

Answer:

g > -7, f ≤ -5 and g ≥ -5

Step-by-step explanation:

the < and > symbols mean less than and greater than respectively, but not including. Therefore -5 cannot be a valid solution if the range is (for example) g > -5. However, ≤ and ≥ mean less/greater than or equal to, so -5 would be a valid solution for g ≥ -5 (for example).

Answer:

The equation of the line of best fit is y=(1)(12)x using the exponential regression.

Step-by-step explanation:

Given 1 yard = 0.9144m

0.9144 m = 1 yard

1 m = 1/0.9144 yards = 1.094yards

9m = 9 x 1.094 yards = 9.846yards

given 1 yard = P5.00

9.846 yards = P5.00 x 9.846 = P49.23

Let's graph a right triangle to make it easier to understand

Where a and b are the legs and c is the hypotenuse.

So, the equation will be

Answer:

2.5(x)/10 = 50/200

Step-by-step explanation:

hope that helps :)

So 50/200=0.25

therefore, x has to be divided by 10 and be equal to that number, so 2.5/10=0.25 but let's do it with steps

1) Simplify or combine like terms (in this case we need to simplify 50/200 which is 0.25)

2) To isolate x, do the opposite operation on BOTH SIDES.

x/10 ×10 cancels out the 10

x=0.25×10

x=2.5

Answer:

8 hours

Step-by-step explanation:

Create an equation that sets the costs equal to each other, where h is the number of hours

3.5h + 20 = 4.75h + 10

Solve for h

3.5h + 20 = 4.75h + 10

20 = 1.25h + 10

10 = 1.25h

8 = h

So, it will take 8 hours for the costs to be equal

On a number line, plot the negative integers. The number that is further to the left will be less than the other.

A number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.

We have to explain how a number line can be used to compare two negative integers.

Integers are whole numbers they can be negative whole numbers or positive whole numbers for example 2, 4, 1, -8, 0, etc.

Plot the negative integers on a number line. It will be smaller than the other number if it is further to the left.

The numbers always go up (become "more positive") to the right and down (become "more negative") to the left on a number line. Numbers to the right are bigger than numbers to the left, and the opposite is true the other way around.

Thus, on a number line, plot the negative integers. The number that is further to the left will be less than the other.

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Answer:

The letter "x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable, but we can work out its value if we try! A variable doesn't have to be "x", it could be "y", "w" or any letter, name or symbol.

X COULD BE 2 OR 7

Step-by-step explanation:

Answer:

A. x= -3

Step-by-step explanation:

firstly collect all the terms . then move the term so it'd look like 5x+14 = -2x - 7 then calculate it then it would look like this : 5x+2x = -7 -14 after you move the terms you again calculate it and then the finish product would look like this : 7x = -21 so after you get that you divide by both sides and the answer is -3 . (im sorry if that don't make sense) but the answer is A.

Answer:

The desired divisor is n = 21

Step-by-step explanation:

Let that number be n.  Then:

-15/56        -5

---------- = ---------

     n            6

Through cross-multiplication we get:

(-15/56)*6 = -5n, which reduces to:

(-15)(7) = -5n, or 3(7) = n

The desired divisor is n = 21

The solution to the system of equations as an ordered pair is (4, -3).

We are given a system of linear equations in two variables. The first equation is y = (-1/2)x-1. The second equation is (-1/4)x+y+4 = 0.

We need to find the solution of the system of equations. We will use the substitution method to solve for the values of "x" and "y".

y = (-1/2)x - 1

(-1/4)x + y + 4 = 0

Substitute the value of "y" from the first equation into the second equation.

(-1/4)x + (-1/2)x - 1 + 4 = 0

(-3/4)x+3 = 0

(3/4)x = 3

x = 4

Substitute the value of "x" back into the first equation to get the value of "y".

y = (-1/2)x - 1

y = (-1/2)4 - 1

y = -2 - 1

y = -3

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The number of poker hands consisting of 2 aces and 3 kings is 41,472.

The probability that the first king is dealt out on the 13th card is 1/52.

(a) There are 4 aces and 4 kings in a standard deck of playing cards, so there are C(4,2) = 6 ways to choose 2 aces out of 4, and C(4,3) = 4 ways to choose 3 kings out of 4. Then, there are C(48,3) = 17, 296 ways to choose the remaining 3 cards from the remaining 48 cards in the deck. The number of poker hands consisting of 2 aces and 3 kings is 6 * 4 * 17, 296 = 41,472.

(b) The probability that the first king is dealt out on the 13th card is 1/52, since there are 52 cards in a standard deck and the first king can be any of them. The probability that the first king is dealt out on the 13th card is independent of the order in which the other cards are dealt, so this is the final answer.

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The specific gravity of the combined product is 1.22

Specific gravity is the ratio of the density of a substance to the density of some substance (such as pure water) taken as a standard when both densities are obtained by weighing in air.

Given,

The total quantity of portion= 50 ml

Specific gravities of the three syrups = 1.10,1.25 and 1.32

Then,

The specific gravity of the combined product= \(\frac{1.10+1.25+1.32}{3}\)

= 1.22

Hence, the specific gravity of the combined product is 1.22.

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Answer:

y = - \(\frac{1}{2}\) x + 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 2x + 2 ← is in slope- intercept form

with slope m = 2

Given a line with slope m then the slope of a line perpendicular to it is

\(m_{perpendicular}\) = - \(\frac{1}{m}\) = - \(\frac{1}{2}\) , thus

y = - \(\frac{1}{2}\) x + c ← is the partial equation

To find c substitute (4, 3) into the partial equation

3 = - 2 + c ⇒ c = 3 + 2 = 5

y = - \(\frac{1}{2}\) x + 5 ← equation of perpendicular line

\(x {}^{ - 4} \\ = \frac{1}{x {}^{4} } \\ \)

a^-n = 1/a^n

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Answer:

false

Step-by-step explanation:

if the number is already positive it will be negative

Answer:

false

Step-by-step explanation:

False

The opposite of a negative number is positive.

The opposite of a positive number is negative.

The opposite of zero is zero and is neither positive nor negative.

Therefore, the opposite of a number is not always positive.

Answer: false

Answer:

Essentially, integers are any full number so no decimals.

Explanation:

Altough it could be -34, 0, 14, etc but not 5.3. so as long as nothing is in the decimal place, its an integer

I hope this helps, have a blessed day!

Answer:

not sure if understood you; slope: (-1-9)/(-8+2)=-10/-6=5/3, y-int: -1-(-40/3)=37/3; y=5/3x+37/3

In summary, the slope of the line is -6, and the y-intercept is (0, -2).

To find the slope and y-intercept of the line y = -6x - 2, we can compare it to the slope-intercept form of a linear equation, which is y = mx + b. In this form, "m" represents the slope, and "b" represents the y-intercept.
For the given equation y = -6x - 2:
1. Identify the slope (m): The coefficient of the x term, which is -6, represents the slope. Therefore, the slope (m) is -6.
2. Identify the y-intercept (b): The constant term, which is -2, represents the y-intercept. To express the y-intercept as a coordinate (0, b), substitute 0 for the x value. So the y-intercept coordinate is (0, -2).
In summary, the slope of the line is -6, and the y-intercept is (0, -2).

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Answer:

y = \(\frac{1}{3}\) x + 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = \(\frac{1}{3}\) x + 4 ← is in slope- intercept form

with slope m = \(\frac{1}{3}\)

Parallel lines have equal slopes , then

y = \(\frac{1}{3}\) x + c ← is the partial equation

To find c substitute (6, 5) into the partial equation

5 = 2 + c ⇒ c = 5 - 2 = 3

y = \(\frac{1}{3}\) x + 3 ← equation of parallel line