Let ݂ሺݔሻ ൌ ͹ݔଶ െ ͷݔ ͵ ൅ and ݃ሺݔሻ ൌ ʹݔଶ ൅ Ͷݔ െ ͸.
Part A: Find ݂ሺݔሻ ൅ ݃ሺݔሻ
Part B: Find ݂ሺݔሻ െ ݃ሺݔሻ
Part C: Find ݃ሺݔሻ െ ݂ሺݔሻ

Given simultaneous equations:

x - 2y -15 = 0

x - 4y -3 = 0

a)

Rearranging the equation 2.

x - 3 = 4y

x - 4y -3 = 0

x = 4y + 3

b)

x - 2y = 15

substitute x value

4y+3 - 2y = 15

2y + 3 = 15

2y = 15 - 3

2y = 12

divide 2 on both sides

2y/2 = 12/2

y = 12/2

y = 6

y value in x - 2y = 15

x - 2*6 = 15

x - 12 = 15

x = 27.

the values of x and y is 27 and 6.

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Answer:

-18 + x = 11

x = 29

Step-by-step explanation:

To solve this, you can use the formula of a + b = c

\(-18 + x = 11\\-18 = 18\\11 + 18 = 29\\x = 29\)

Answer:

29

Step-by-step explanation:

Your equation can be -18+x=11. Since we don't know the number, we can use x. We are trying to find out a number that when it's added to -18, the answer will be 11.

Now, we solve the equation:

-18+x=11

x=11+18

x=29. Answer

To check this answer:

we can use our equation and substitute 29 for x.

-18+x=11

-18+(29)=11

11=11.

They are equal. Therfore, the answer is correct.

Answer: y= 13

Heart if it helped

Brain if im cool

Answer:

1/40

Step-by-step explanation:

Probability: (number of ways to achieve the desired result / number of possible results)

For example, if we want a coin to land on heads:

We know there is one way for it to land on heads and two possible outcomes. Thus, the possibility of flipping a head is 1/2.

Using this, we know that there are 5 grey marbles (the desired result) and there are  (5 + 3 + 6 + 2 + 4) total possible outcomes. The probability of drawing a grey marble is then:

5 / (5 + 3 + 6 + 2 + 4) =

5/20 =

1/4

We also know that there are 2 yellow marbles, so the probability of drawing one would be: 2 / 20 = 1/10

To find the probability of both of these events happening right after each other, multiply the probability of them each happening together.

1/4 * 1/10 = 1/40 chance of picking a grey marble and then a yellow marble.

Answer:

(125x+8)cm^3

Step-by-step explanation:

Volume= (5x+2)^3 = (125x+8)cm^3

Hey!

Answer:

125x^3+ 150 x^2+ 60x +8.

Formula of the volume of the cube = v=a^3

Substitute:

v=(5x+2)^3

=125x^3+ 150 x^2+ 60x +8.

Andrew have to find the cube root of the volume to find the length of each side of the boxes he is packing in the trunk of his car. the length is of the box is solved to be 14 inches

A radical in mathematics is the opposite of an exponent, which is symbolized by the sign "n√" also known as root.

The number before the symbol or radical is regarded as an index number or degree, and it can either be a square root or a cube root and so on.

The volume of a cube is given by

v = length^3

2744 = length^3

∛2744 = length

length = 14 inches

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A test's standard deviation is 5 and its mean is 85. scores is within one standard deviation of the mean is 25/n^12.

The square root of the variance of a random variable, sample, mean ,statistical population, data set, or probability distribution is that variable's standard deviation. Although less robust in practice, it is algebraically simpler than the average absolute deviation.The fact that the standard deviation is expressed in the same unit as the data, as opposed to the variance, is a useful characteristic of the statistic.

variance = 5^2 = 25

standard deviation of the mean = ( variance / n )^1/2

= (25/n)^1/2

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Answer:

.09375 as a fraction is \(\frac{3}{32}\)

0.09375 as a fraction in its lowest form is 3/32.

To convert the decimal number 0.09375 into a fraction, we can express it as the numerator over the appropriate power of 10 in the denominator.

The decimal number 0.09375 can be written as 9375/100000.

To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor (GCD).

In this case, the GCD of 9375 and 100000 is 3125,

So, we can divide both numbers by 3125:

= 9375 ÷ 3125 / 100000 ÷ 3125

= 3/32

Therefore, 0.09375 as a fraction in its lowest form is 3/32.

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Answer:

The roots of the equation
\(x^{3}-10x^{2}+31 x-30 = 0\)

correspond to the x-intercepts of the function graph

Step-by-step explanation:

The roots of the equation
\(x^{3}-10x^{2}+31 x-30 = 0\)

are x = 2, x = 3, x = 5

which are located at points (2, 0), (3, 0), (5,0)

These points are the x-intercepts of the graph of the equation
So the x-intercepts of the equation are the roots of the equation

I have graphed this using Geogebra which I am familiar with. You should probably use Desmos as per the instructions

Answer:

the slope is 2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

y = mx + b

m = slope

b = y-intercept

Proportionately, if 32% represent students who played football, and the total number of them is 180, the total students in the group is 563.

Proportion is the ratio of two quantities equated to each other.

Proportion is a fractional value and we represent proportional values as between zero and one.

                     Basketball    Tennis     Cricket      Football

Percentage       30%             3%          35%            32% (100 - 30 - 3 - 35)

The number of

 students         169               17           197              180 (32% of 563)

The number of students who played football = 180

Proportionately, if 32% = 180, 100% representing the total number of students in the group = 563 (180/0.32).

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If If z² is directly proportional to x³ and z=8 when x=4 then value of z is 27

If z² is directly proportional to x³, then we can write:

z² = kx³

where k is the constant of proportionality.

To solve for k, we can use the given information that z=8 when x=4:

8² = k(4³)

64 = 64k

k = 1

So now we have:

z²= x³

To find the value of z when x=9, we can substitute into the equation:

z² = 9³ = 729

Taking the square root of both sides, we get:

z = ±27

z = 27

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Answer:

1/59

Step-by-step explanation:

Answer:

1/59

think of it dude

Answer:

Step-by-step explanation:

Only A and D.  Draw a line through A and D and you will see that this is a proportional relationship; the line goes through the origin.

Answer: No need, the answer is D (x = 2.52)

The function that gives the shares received by a post whereby each friend

shares the post a constant multiple of times each day is exponential.

The given table of values for Ben's social media post is presented as follows;

\(\begin{tabular}{|c|c|}Day&Number of shares\\0&2\\1&6\\2&18\end{array}\right]\)

The number of shares triples everyday, therefore, the number of shares form a geometric progression, with a common ratio of r = 3, and a first term of a = 2

The function for the number of shares of Ben's post is, tₙ  = a·rⁿ

Which gives;

Number of friends Carter shared his post with = 10 friends

Number of people each of the 10 friends shared with each day = 2 people

The exponential function for number of shares received by Carter is therefore, tₙ = 10×2ⁿ

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Answer: 60

Step-by-step explanation:

The required exponential expression is 9⁵ for the numerical expression 9⋅9⋅9⋅9⋅9.

An exponential function is defined as a function whose value is a constant raised to the power of an argument is called an exponential function.

"9⁵," or "nine to the fifth power is respectable because we have multiplied the number "9" by itself "five times."

Hence, the value is equal to:    

⇒ 9⋅9⋅9⋅9⋅9 is equal to:  " 9⁵ " ;  

that is, "nine to the fifth power"  or "nine to the power of "five" ;

Thus, the required exponential expression is 9⁵ for the numerical expression 9⋅9⋅9⋅9⋅9.

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Answer:

M = 36

Step-by-step explanation:

Since SAM = ZYX

We can assume that all angles on SAM will equal the same as ZYX.

There are 180° total in a triangle, so you add 60 + 84, which equals 144, then you subtract 144 from 180 to find the remaining angle.

Therefore M = 36°

Answer:

the 3rd option

Step-by-step explanation:

the x intercept is where the graph crosses. The x axis. Here the slope is negative one half. Count rise over run between two points. Use the ones on the grid

X+X+X+X+X+X+X/7=82

X+X+X+X+X+X+X+X/8=85

X+X+X+X+X+X+X=574

X+X+X+X+X+X+X+X=680

X=106

You need to score 106

Hope this helps :D

Answer:

A cylinder and 2 half spheres

Step-by-step explanation:

Using my eyes, I see 1 cylinder and 2 half spheres at the ends of the cylinder.

The shapes that combined to form the comppsite figure are a Cylinder and two half Sphere.

Option A) A cylinder and 2 half spheres is the correct answer.

A cylinder is simply a 3-dimensional shape having two parallel circular bases joined by a curved surface.

A hemisphere is gotten when a sphere is cut into two equal halves. It is half of a shere.

From the Image, one can see that a cylinder and two hemispheres combined to form the composite figure.

Hence, the shapes that combined to form the comppsite figure are a Cylinder and two half Sphere.

Option A) A cylinder and 2 half spheres is the correct answer.

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Answer:

x = 11/4

Step-by-step explanation:

-8x - 20 +30 -1 +13 = 0

x = 11/4

Answer:

Step-by-step explanation:

2 pounds / 5 people

x pounds / 13 people

2/5 pounds per person so 2/5 * 13 = 26/5

5 1/5 i think

sorry if its wrong

Answer: The answer of the question is 2 and 3/5.

Step-by-step explanation: Every pound of meat serves one person, because 10 divided by 2 people is 5. Then, there are 3 pieces of meat left over, and since every person eats 5/5, or 1 whole, then there are 3/5 pieces left over. You then add 2 and 3/5 together, getting your answer 2 3/5.

Answer:

s will be 14 when t= 0.3

Step-by-step explanation:

Given that s is inversely proportional to t.

Inverse proportion is defined as the increase in one value causes decrease in other or decrease in one value causes increase in other

The give proportion can be expressed as:

s ∝ 1/t

Removing the proportionality symbol

\(s = \frac{k}{t}\)

Putting s = 0.7, t = 6

\(0.7 = \frac{k}{6}\\0.7 * 6 = k\\k = 4.2\)

The equation will be:

\(s = \frac{4.2}{t}\)

Putting t= 0.3

\(s = \frac{4.2}{0.3}\\s = 14\)

Hence,

s will be 14 when t= 0.3

Answer:

84 regular light bulbs

Step-by-step explanation:

When there are 7 regular light bulbs to every 1 energy saving one, there will be 7 more added for every 1 energy saving light bulb that there is. So if there is 12 energy saving light bulbs, just multiply 7 by 12 and you will get your answer.