six times jason collection of books and one third of nathan collection add up to 134 books. one third of jason collection and nathans entire collection add up to 31 books

The domain of the function above is [-2, 3].

The range of the function above is [-2.5, 2].

The intervals over which the function is increasing is [-2, 1.5] U [-2.5, 2].

The intervals over which the function is decreasing is [1.5, -2.5].

In Mathematics and Geometry, a domain refers to the set of all real numbers for which a particular function is defined.

Furthermore, the vertical extent of any graph of a function represents all range values and they are always read and written from smaller to larger numerical values, and from the bottom of the graph to the top.

By critically observing the graph of this rational expression (function)   shown in the image attached below, we can reasonably and logically deduce the following domain and range:

Domain = [-2, 3] or -2 ≤ x ≤ 3.

Range = [-2.5, 2] or -2.5 ≤ y ≤ 2.

Additionally, the intervals over which the function is increases over the interval [-2, 1.5] and [-2.5, 2], while it decreases over the interval [1.5, -2.5].

In conclusion, the given function is not constant over any interval.

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Answer:

no

Step-by-step explanation:

Answer:

I think that it is yes but not sure

Answer:

second option

Step-by-step explanation:

diameter= 22 cm

radius = diameter/2

=22/2

11 cm

volume of a sphere = \(\frac{4}{3}*pie* r^3\)

=\(\frac{4}{3} * 3.14 *11^3\)

=4.186666 * 1331

=5572 . 5 cubic centimeters (cm^3)

Answer: 11:12:40

Step-by-step explanation: If im right pls give brainliest

The polynomial -8m²n - 7m²n can be factored using the common factor -m²n. The complete factored form of the polynomial is (-m²n) (8 + 7a).

To find the complete factored form of the polynomial -8m²n - 7m²n, we can factor out common terms from both the terms. The common factor in the terms -8m²n and -7m²n is -m²n. We can write the polynomial as:

-8m²n - 7m²n = (-m²n) (8 + 7a)

Therefore, the complete factored form of the polynomial -8m²n - 7m²n is (-m²n) (8 + 7a). This expression represents the original polynomial in a multiplied form. We can expand this expression using distributive law to verify that it is equivalent to the original polynomial.

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Answer:

9.26 per quart

Step-by-step explanation:

A 3-gallon bucket of paint costs $111.12.

  Find the price of per quart.

3 gallons equal 12 quarts. We divide 111.12 for 12 quarts by 12:

111.12 / 12 = 9.26

The amount of time until there are 90 grams remaining is given as follows:

7.3 minutes.

An exponential function has the definition presented as follows:

\(y = ab^x\)

In which the parameters are given as follows:

The parameter values for this problem are given as follows:

Hence the amount after x minutes is given as follows:

\(y = 370(0.824)^x\)

The time needed for an amount of 90 grams is given as follows:

\(y = 370(0.824)^x\)

\(90 = 370(0.824)^x\)

\((0.824)^x = \frac{9}{37}\)

\(x = \frac{\log{\frac{9}{37}}{\log{0.824}}\)

x = 7.3 minutes.

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x² - 3x - 10

x² = x * x

10 can be factored:

1 x 10 ⇒⇒⇒ difference between factors = 9

2 x 5   ⇒⇒⇒ difference between factors = 3  ⇒ (The correct pair)

(x-5)(x+2) = x(x+2) - 5(x+2)

                = x² + 2x - 5x - 10

                = x² - 3x - 10

x - 5 = 0  ⇒⇒⇒ x = 5

  x + 2 = 0  ⇒⇒⇒ x = -2

Answer: 4

Step-by-step explanation:

add 35 with 2 = 37 and then divide 150 divided by 37 = 4

If Triangle SRTs angle R is 59° angle T is 79°  the length of ST to the nearest 10th of a yard is 6.1

Since we have given that

ΔSRT is a triangle with measures :

SR = 7 yd

∠T = 79°

∠R = 59°

We need to find the side ST .

To find the length of ST, we can use the Law of Sines, which states:

sin(T) / SR = sin(R) / ST

sin(79°) / 7 = sin(59°) / ST

0.14 = sin(59°) / ST

ST =  sin(59°)/0.14 ⇒ 0.8572 / 0.14 ≈ 6.1229

Therefore, the length of ST is approximately 6.1 yards to the nearest tenth of a yard

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Answer:

his is the day that immediately proceeds the last and final spring sabbat, ... The fact that Beltane and Samhain happen in unison twice a year lends ... You know all those Halloween recipes you've been saving on Pinterest for years now? ... Halloween and Samhain product brands as you can all year long.

Step-by-step explanation:

Answer:

The graph of the parent function y = 2^x can be transformed to create the graph of y = 2^(3x) by horizontally compressing by a factor of 3. Therefore, the correct answer is C.

Answer:

Check the explanation

Step-by-step explanation:

\(H_0\):proportion of male smoker lung deaths is same for the four given tar level categories.

\(H_1\):proportion of male smoker lung deaths is not the same for the four given tar level categories.

Expected frequency=1177/4=294.25

Tar level     Observed Freq.(O)        Expected Freq.(E)         (O-E)^2/E

0-7                         107                                   294.25                120.435

8-14                        375                                  294.25                5.643

15-21                       553                                 294.25                 227.533

>=22                       183                                  294.25                 42.061

Total=                    1177                                  1177                      395.673

Total chi square score=395.673

df=4-1=3

p-value=CHIDIST(395.673,3)<0.001

p-value<0.001,Reject null hypothesis.

There is sufficient evidence that the proportion of male smoker lung deaths is not the same for the four given tar level categories.

Answer:

x=45

Step-by-step explanation:

i hope its right good luck :)

i think im wrong

Answer:

We conclude that the inequality in two variables for which (3, 7) and (−2, 3) are solutions will be:

Step-by-step explanation:

Let us check the inequality

\(x+y > 0\)

Given the ordered pairs

Let us check (3, 7) to determine if \(x+y > 0\) is a solution or not

\(x+y > 0\)

\(3+7 > 0\)

\(10 > 0\)

Thus, (3, 7) satisfies the inequality \(x+y > 0\)

Now, let us check (-2, 3) to determine if \(x+y > 0\) is a solution or not

\(x+y > 0\)

-2 + 3 > 0

1 > 0

Thus,  (-2, 3) satisfies the inequality \(x+y > 0\)

Therefore, we conclude that the inequality in two variables for which (3, 7) and (−2, 3) are solutions will be:

The equation of the lines with the points (-8, 3) and (-6, 0) is y = -3x/2 + 9.

The equation of the lines with the points (5, 4.5) and (5, -1) is y = 4.5.

In Mathematics, the point-slope form of a straight line can be calculated by using this mathematical expression:

y - y₁ = m(x - x₁) or y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)

Where:

At data point (-8, 3), a linear equation in standard form for this line can be calculated by using the point-slope form as follows:

y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)

y - 3 = (0 - 3)/(-6 + 8)(x + 8)

y - 3 = -3x/2 - 12

y = -3x/2 + 9

For points (5, 4.5) and (5, -1), we have:

At data point (5, 4.5), a linear equation in standard form for this line can be calculated by using the point-slope form as follows:

y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)

y - 4.5 = (-1 - 4.5)/(-5 - 5)(x - 5)

y - 4.5 = 0

y = 4.5

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Answer:

39/8

Step-by-step explanation:

You have to multiply the whole number(4) by the denominator(8) and then add the numerator(7) to your answer.

4 and 7/8

4x8= 32      32+7=39

= 39/8

Answer:

<1 = 138degrees

<2 = 156degrees

Step-by-step explanation:

From the diagram given;

angle at the vertex = 36degrees

Angle at the intercepted arc are <1 and 66degrees

Using the theorem;

Angle at the vertex is 1/2 the difference of the angles at the intercepted arcs

36 = 1/2(<1-66)

36*2 = <1-66

72 = <1 - 66

<1 = 72+66

<1 = 138degrees

Also since the sum of angle in a circle is 360degrees, hence;

<1 + <2 + 66 = 360

138 + <2 + 66 = 360

<2 + 204 = 360

<2 = 360 - 204

<2 = 156degrees

Answer:

a) r(t) = (10, 5, -5) + (5, 5, 0)*t

b) (0, -5, -5)

Step-by-step explanation:

a) 2x + 4 -2y -5 = -3z -6

2x - 2y +3z +5 =0

(10, 5, -5)

(15, 10, -5)

(5, 5, 0)

r = (10, 5, -5) + (5, 5, 0)*t

b) The yz plane is given by the equation x = 0.

x = 0  in the vector equation of a straight line if and only if  t = -2, than r ( - 2) = (0, -5, -5) is the desired intersection point.

The single power that is equivalent (4³)² to is 4^6.

This is a term in mathematics to refer to the exponents. The given expression is four to the power of three all to the power of two. Exponents helps to represent equations and makes it easier to remember  and handle.

Given data

(4³)²

This could be solved using the laws of indices

(4³)² =  4³ * 4²

4³ * 4² = 4³ *² = 4^6

Hence we can say that the single power that is equivalent (4³)² to is 4^6.

base = 4

power = 6

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Answer: second one down

Step-by-step explanation:

The domain and range of the function  f(x) = 3/x + 2 are  (-∞, 0) ∪ (0, ∞) and  (-∞, 2) ∪ (2, ∞). The vertical and horizontal asymptotes are x = 0 and y = 2 respectively

In mathematics, the domain of a function is the set of all possible input values (also known as the independent variable) for which the function is defined. The range of a function is the set of all possible output values (also known as the dependent variable) that the function can produce.

To determine the domain and range of a function, it's important to consider the nature of the function, its graph or formula, and any restrictions that may apply.

The function f(x) = 3/x + 2

The domain of the function is (-∞, 0) ∪ (0, ∞)

The range of the function is (-∞, 2) ∪ (2, ∞)

The x - intercept is (-3/2, 0)

The y - intercept does not exist

The vertical asymptotes is x = 0

The horizontal asymptotes is y = 2

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Answer:

0 is the answer

Step-by-step explanation:

0 the answer is 0

The Area of the shaded portion is: 72 square inches

The formula for the area of a triangle is given by the formula:

Area = ¹/₂ * base * height

Now, to get the area of the shaded portion, we will get the area of the larger triangle and subtract the area of the smaller one from it.

Thus:

Area of larger triangle = ¹/₂ *  17 * 13 = 110.5 square inches

Area of smaller triangle =  ¹/₂ * 11 * 7 = 38.5 square inches

Thus:

Area of shaded portion = 110.5 square inches - 38.5 square inches

Area of shaded portion = 72 square inches

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Step-by-step explanation:

The ONE  solution to this system of two lines is the point where the two lines cross   at   (1,4)

Answer:

A

Step-by-step explanation:

7(x+4)<= 2(x-5)+3(x+9)

7x+28<= 2x-10+3x+27

7x+28<= 5x+17

-5x         -5x

2x+28<= 17

-28         -28

2x<= -11

/2      /2

x<= -5.5

Answer: its c.

Step-by-step explanation: :)