the continuous function f is defined on closed interval -6

Answer:

A. (3, -1)

Step-by-step explanation:

The ordered pair that is a solution is the one which makes the inequality TRUE when the value of the ordered pairs are plugged into 4x - 3y < 16

Therefore, the ordered pair, (3, -1) is the solution because it is the only given ordered pair in the options that makes the inequality true. Thus:

Substitute x = 3 and y = -1 into 4x - 3y < 16

4(3) - 3(-1) < 16

12 + 3 < 16

15 < 16 (TRUE)

The number is 30.

Step-by-step explanation:

n=number.

2/3n+1/6n=25

Make a common denominator for 2/3 and 1/6 and then combine like terms.

4/6n+1/6n=25

5/6n=25

divide 5/6 on both sides to isolate n.

n=25/(5/6)

oreja.

n=25/1/5/6

nu(25×6)/(5×1)

n=150/5

n=30

OR

multiply the reciprocal instead of dividing.

n=25×(6/5)

n=150/5

n=30

Answer:

13

Step-by-step explanation:

Divide both sides by 7 so the multiplication cancels out.

Answer:

To get b you’ll have to divide 91 by 7

b=91/7

b=13

Step-by-step explanation:

I hope it helped you, please give me brainliest

Answer:

see explanation

Step-by-step explanation:

using the tangent ratio in the right triangle

tan A = \(\frac{opposite}{adjacent}\) = \(\frac{BC}{AB}\) = \(\frac{5}{11}\) , then

∠ A = \(tan^{-1}\) ( \(\frac{5}{11}\) ) ≈ 24.4° ( to 1 decimal place )

tan C = \(\frac{opposite}{adjacent}\) = \(\frac{AB}{BC}\) = \(\frac{11}{5}\) , then

∠ C = \(tan^{-1}\) ( \(\frac{11}{5}\) ) ≈ 65.6° ( to 1 decimal place )

using Pythagoras' identity in the right triangle

the square on the hypotenuse is equal to the sum of the squares on the other two sides, that is

AC² = AB² + BC² = 11² + 5² = 121 + 25 = 146 ( take square root of both sides )

AC = \(\sqrt{146}\) ≈ 12.08 ( to 2 decimal places )

The Volume of each bead is approximately 1.767 mm^3 when rounded to the nearest tenth.

The volume of each bead, the volume of a sphere using its diameter. The formula for the volume of a sphere is given by:

V = (4/3) * π * r^3

where V is the volume and r is the radius of the sphere.

Given that the diameter of each bead is 1.5 millimeters, we can calculate the radius as half of the diameter:

r = 1.5 mm / 2 = 0.75 mm

Now, we can substitute the value of the radius into the volume formula:

V = (4/3) * π * (0.75 mm)^3

Using the value of π ≈ 3.14 and performing the calculations:

V ≈ (4/3) * 3.14 * (0.75 mm)^3

V ≈ (4/3) * 3.14 * 0.421875 mm^3

V ≈ 1.767 mm^3 (rounded to the nearest tenth)

the volume of each bead is approximately 1.767 mm^3 when rounded to the nearest tenth.

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Answer:

It would be three coconuts hope this helped

Step-by-step explanation:

If Natalie puts 4 pears in each bag, she will be able to sell a total of 12 bags of pears at the Saturday market.

To represent the number of bags of pears, b, that Natalie sells at the Saturday market, we can use the following equation:

b = total_number_of_pears / pears_per_bag

In this equation, "total_number_of_pears" represents the total quantity of pears Natalie has, and "pears_per_bag" represents the number of pears she puts in each bag.

Given that Natalie has a total of 48 pears, we can substitute the value into the equation:

b = 48 / pears_per_bag

Now, we need to determine the number of pears she puts in each bag. The information provided states that Natalie sells bags of pears, and each bag is sold for $5. However, the specific number of pears per bag is not given. To proceed, we need this information.

Let's assume that Natalie puts 4 pears in each bag. We can substitute this value into the equation:

b = 48 / 4

Simplifying the equation gives:

b = 12

So, if Natalie puts 4 pears in each bag, she will be able to sell a total of 12 bags of pears at the Saturday market.

It's important to note that the specific value of "pears_per_bag" will affect the final result. If Natalie puts a different number of pears in each bag, the equation will yield a different number of bags sold.

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The value of y is 4√3

Similar triangles have the same corresponding angle measures and proportional side lengths. The corresponding angles of similar triangles are congruent or equal.

Also , the ratio of corresponding sides of similar triangles are equal.

There are two triangles that are similar

Therefore;

y /16 = 4/y

y² = 48

y = √48

y = √16 × √ 3

y = 4√3

Therefore, the value of y is 4√3

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Let l be the symbol for length

Let w be the symbol for width

\(l = 2w - 5\)

Our first equation is built according to the given that the length is twice the width subtracted by 5

Our second equation is built on the definition of perimeter. A perimeter is the sum of all sides of a polygon. A rectangle has 4 sides (2 lengths and 2 widths)

So the perimeter of a rectangle is=l+l+w+w=2l+2w

\(2l + 2w = 26\)

This will be our second equation;

I can make a system of equations of 2 unknowns using my 2 equations;

\(2l + 2w = 26\)

\(l -2w = - 5\)

Add the two systems together by adding everything that is before the equal sign together and everything after it together.

\(2l + l + 2w - 2w = 26 - 5\)

\(3l = 21\)

\(l = \frac{21}{3} = 7 \: meters\)

To find the width substitute L=7 in any equation;

\(l = 2w - 5\)

\(7 = 2w - 5\)

\(7 + 5 = 2w\)

12=2w

w=12/2=6

The app is bugging, the width is 6 meters and the length is 7 meters

The sequence is decreasing as n increases and sequence converges to the value 0.

The given sequence is defined as aₙ = 1 / (7n + 3).

To determine if the sequence converges or diverges, we need to analyze its behavior as n approaches infinity.

As n increases, the denominator 7n + 3 also increases which means that the values of aₙ will get smaller and smaller, approaching zero as n becomes larger.

The sequence converges to the value 0.

The sequence is decreasing as n increases.

The sequence converges to the value 0.

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Answer:

121 is the perfect square between 100 and 144.

Answer:

C. No, the program is not statistically significant because the results are likely to occur by chance.

Step-by-step explanation:

At a significance level that is smaller than 0.2, the effect is not significant.

We have a P-value of 20%, which means that we have 20% chances of getting this sample given that the method has no effect.

We then can conclude that there is not enough evidence to support the claim that the method is effective.

5/4 is the slope of the equation y=5/4x+7/4

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

The given linear function is  y=5/4x+7/4

When we compare this function with the standard form y=mx+b

m=5/4

Hence, 5/4 is the slope of the equation y=5/4x+7/4

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Answer:

The angle of elevetaion is ≈35°

Step-by-step explanation:

\(tg(0)=8/12\\tg(0)=0.666...->0=35\)

Answer:

29

Step-by-step explanation:

The problem is 5x + 6 = 150

I subtract 6 from each sides except the one with the variable.

6 - 6 = 0 and 150 - 6 = 144.

Then I bring 5x down.

Then I divided 5x with 5 and 144 with 5.

I got 28.8 for x, which means the friends had 28.8 action figures each.

And I don't think it would be possible for them to have 28.8 action figures, so you round to a whole number which would give you the answer 29.

I think I that makes sense.

Answer:

2/6; 3/9

Step-by-step explanation:

Multiply both the numerator and the denominator by the exact same number to find equivalent fractions

For example, I will randomly choose to multiply both by 2

Example 1:

1 × 2 / 3 × 2

2/6

Now, I'll do 3

Example 2:

1 × 3 / 3 × 3

3/9

You can check your work by dividing both the numerator and the denominator by the original fraction (1/3) to see if you get the number 1

Example 1:

2/6 ÷ 1/3

Copy dot flip

2/6 × 3/1

2 × 3 / 6 × 1

6/6

1

Example 2:

3/9 ÷ 1/3

Copy dot flip

3/9 × 3/1

3 × 3 / 9 × 1

9/9

1

Answer:

0.

Step-by-step explanation:

The slope of the line is defined as the change of elevation of the line (\(\frac{rise}{run}\)).

In this case, there is no change in the slope as the line continues across (0 , 2), meaning that the slope of the line is 0.

If the slope of the line is 1, then the line will have (rise 1/run 1), meaning that it will have a linear slope. (See attached image).

Vertical lines have infinite slope, and so can also be called undefined as it moves neither left or right, giving it no run.

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The solution to the equation 125x³ - 27 = 0 is (5x−3)(25x ^2 +15x+9)

An equation is a mathematical expression that contains an equals symbol. Equations often contain algebra. Algebra is used in mathematics when you do not know the exact number in a calculationsolving the equation 125x³ - 27 = 0 by grouping

Rewriting 125x^ 3 −27 as (5x) ^3 −3³

The difference of cubes can be factored using the rule:: a ^3 −b^ 3 =(a−b)(a^ 2 +ab+b^ 2 )

Polynomial 25x^ 2 +15x+9 is not factored since it does not have any rational roots.

Hence, (5x−3)(25x ^2 +15x+9)

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Answer:

6x-3(2x-5)=9

6x-6x+15=9

15=9

no sollution

Answer:

5

Step-by-step explanation:

This shape is formed by two right triangles.

Let's start by the little one.

Let y be the third side.

Using the Pythagorian theorem we get:

y^2 = 6^2 + 3^2

y^2 = 36 + 9

y^2 = 45

y = 3√(5)

●●●●●●●●●●●●●●●●●●●●●●●●

Now let's focus on the second triangle. Let z be the third side.

The Pythagorian theorem:

6^2 + x^2 = z^2

Using the Pythagorian theorem on the big triangle :

[3√(5)]^2 + z^2 = (3+x)^2

45 + z^2 = 3x^2 + 6x + 9

36 +z^2 = 3x^2 +6x

So we have a system of equations.

36+ x^2 = z^2

36 +z^2 = 3x^2 +6x

We want to khow the value of x so we will eliminate z .

Add (36+x^2 -z^2 =0) to the second one.

36 + x^2-z^2+36+z^2 = 3x^2+6x

72 + x^2 = 3x^2 +6x

72 - 2x^2 -6x = 0

Multipy it by -1 to reduce the number of - signs

2x^2 + 6x -72 = 0

This is a quadratic equation

Let A be the discriminant

● a = 2

● b = 6

● c = -72

A = b^2-4ac

A = 36 -4*2*(-72) = 36 + 8*72 =612

So this equation has two solutions

The root square of 612 is approximatively 25.

● (-6-25)/4 = -31/4 = -7.75

● (-6+25)/4 = 19/4 = 4.75 wich is approximatively 5

A distance cannot be negative so x = 5

Answer:

Step-by-step explanation:

..

answer/explanation:

hope this helps

Answer:

15 cm squared

Step-by-step explanation:

First we solve the area for the first triangle:

h(b)/2 = area

3(5)/2 = 7.5

Now since there are 2 triangles, we multiply it by 2 to get the area of both put together :)

7.5 x 2

15

Have a great day!!

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Answer:

  15 cm²

Step-by-step explanation:

The formula for the area of a parallelogram is ...

  A = bh

Using the given dimensions, we find the area to be ...

  A = (5 cm)(3 cm) = 15 cm²

\(y > 2x \: y \: > \: 3 \: \\ solve \: for \: x \\ x \: € \: ( \frac{3}{2y} \: \frac{1}{2} )\: y > \: 3 \\ solve \: for \: y \\ y \: > \: \frac{3}{2x} \: x \: > \: 0 \: and \: x \: < \: \frac{1}{2} \)

Answer:

Step-by-step explanation:

B {y |-2 < y < 2}

Answer:

17

Step-by-step explanation:

65% can be simplified to \(\frac{13}{20}\). Multiplying \(\frac{13}{20}\) by 25 gets 16.25 but since 16 would get you under 65%, you would need to correctly answer 17 questions.

Answer: \([-2, \infty)\)

Step-by-step explanation:

\((w \circ r)(x)=w(r(x))=w(2x^2)=2x^2-2\\\\x^2 \geq 0 \implies 2x^2 \geq 0 \implies 2x^2 -2 \geq -2 \longrightarrow \boxed{[-2, \infty)}\)