Please somebody should help me for my assignment the question is on equation with fraction. A father is 24 yrs older than his son. (a) if the son is x yrs old,how old is the father. (b) if the ratio of their ages is 5:2,find the age of the son?​

Answer:   [tex]f^{-1}(\text{x}) = \frac{2-\text{x}}{3}[/tex]

Explanation:

Swap x and y, then solve for y to get the inverse.

[tex]f(\text{x}) = -3\text{x}+2\\\\\text{y} = -3\text{x}+2\\\\\text{x} = -3\text{y}+2\\\\\text{x}-2 = -3\text{y}\\\\\text{y} = \frac{\text{x}-2}{-3}\\\\\text{y} = \frac{2-\text{x}}{3}\\\\f^{-1}(\text{x}) = \frac{2-\text{x}}{3}\\\\[/tex]

Answer:

This doesnt give enough things to answer

Answer:

If you're asking how many books there are its 86.

Step-by-step explanation:

If each book is 1/2 thick that means there are 2 books per inch.

Because there are 43 inches you're going to multiply by 2.

43(2)= 86.

Hope that helped, have a good day!

9514 1404 393

Answer:

Step-by-step explanation:

The ratios all have ...

  first number : second number = 1 : 4

Using first numbers of 1, 2, 3, the second numbers can be found by multiplying these by 4. (1, 4), (2, 8), (3, 12)

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You plot these (x, y) points the same way you plot any point on a coordinate grid. The first (x) value is the horizontal distance from the vertical axis. Positive is to the right. The second (y) value is the vertical distance from the horizontal axis. Positive is up.

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Of course, the origin is where the horizontal and vertical axes meet. It can be convenient to find one of the coordinates on its respective axis, then use the other coordinate to find the point at the desired distance from that axis.

Usually, you would choose the axis on the basis of how easy it is to determine exactly where the coordinate lies. If the y-axis is marked every 5, for example, it might be hard to determine where a multiple of 4 will lie. Locating the x-coordinate on the x-axis may be an easier way to start.

Answer:

a = 1.5

VW = 9 ft

Step-by-step explanation:

Since the tangent lines connect both circles, we know that the line VU and VX are congruent (equal). Thus, we can set them equal to each other and solve for a:

a + 4 = a² + 0.25                            Set equal

a² - a = 3.75                                    Isolate a values

a² - a + 0.25 = 3.75 + 0.25            Complete the square

(a + 0.5)² = 4                                  Factor

a + 0.5 = 2                                     Simplify

a = 1.5

Now we need to calculate VW, but thats easy because its equal to TV, and since we know a, we can just plug it in:

((1.5) + 7.5) ft

9 ft

The predicted winning time in year 10 of the race is 2.83 minutes.

The equation for the line of fit is obtained inserting the points of the data-set into a linear regression calculator.

Given:

From the scatter plot, the points are given as follows:

(1, 5.4), (2, 5), (3, 4.6), (4, 4.9), (5, 4.1), (6, 3.9), (7, 3.6), (8, 3.3).

Inserting these points into the linear regression calculator, we get

y = -0.29x + 5.67.

Now, for x= 10 year

y = -0.29(10) + 5.67 = 2.77 minutes.

which is closest to 2.83 minutes.

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Kekskekeke

Step-by-step explanation:njbnmmk

Answer:

It should be 7! :)

Step-by-step explanation:

Isolate the radical, then raise each side of the equation to the power of its index.

Answer:

In other words, the surface area is the sum of all the areas of all the shapes that cover the surface of the object. On the other hand, the lateral surface area refers to the area of the sides of a shape , excluding its base and top area.

Step-by-step explanation:

100

Step-by-step explanation:

because after 105 it's 100

Answer:

(6,2)

Step-by-step explanation:

Combine them

Answer:

Step-by-step explanation:

A system of equations is a set of two or more equations that represent a relationship between two or more variables. A solution of this system is an ordered pair that satisfies each equation in the system. Finding the set of all solutions is called solving the system of equations. Solving a system of equations by graphing is exactly what the name implies – graph both equations, and their point(s) of intersection is the solution. A system of linear equations only have one solution because each equation is a straight line, they will only have one point of intersection (unless, of course, they are the same line).

THE TWO LINES WOULD INTERSECT (6, 2). BECAUSE THE SOLUTION IS THE INTERSECTION..

Answer:

The common ratio is 4

Step-by-step explanation:

How?

Multiplying or dividing is how to get the common ratio in a geometric sequence (moving from either left to right or right to left) *in this question to be precise* okay so...

Moving from right to left, and dividing, 96 ÷ 24 is 4; 24 ÷6 is 4 so the common ration is still 4.

(To find the next terms, moving from left to right, and multiplying, multiply the previous term by the common ration, so the next term after 96 is 96 × 4, which is 384, and you continue....)

You are very welcome and good luck :)

Answer:

130

Step-by-step explanation:

180-70=110

110+20=130

Answer:

Step-by-step explanation:

SQR-PRQ-SRP

SP/RP=RP/PQ

QP/QR=RQ/SQ

Answer:

( 0 , -5 )

Step-by-step explanation:

The coordinates of the focus of the parabola is at (0, -5)

The standard formula of a parabola is given as:

y² = 4ax

Given a parabola represented by the equation x² = -20y

The standard equation of the parabola facing downward is 4p(y-k)=(x-h)^2 where (h, k) is the focus.

Comparing with the given equation, the focus will be at (0, -5)

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Answer:

[tex]p=48 ~units[/tex]

Step-by-step explanation:

[tex]x^2=12^2+9^2[/tex]

[tex]x^2=144+81[/tex]

[tex]x^2=2225[/tex]

[tex]x=15[/tex]

[tex]p=15+15+18[/tex]

[tex]p=48 ~units[/tex]

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hope it helps...

have a great day!!

Answer:

p=48 units

Step-by-step explanation:

hope it helps..

Probability of drawing a red ball:

Total number of balls = 2 + 18 = 20

number of red balls = 2

number of green balls = 18

total number of favourble outcomes = 2

probability = number of favourable outcomes/number of total outcomes.

= 2/20 = 1/10

Therefore probability of drawing a red ball is 1/10.

Probability of drawing a green ball:

total number of balls = 2 + 18 = 20

number of green balls = 18

number of red balls = 2

total number of favorable outcomes = 18

probability = number of favourable outcomes/number of total outcomes.

= 18/20 = 9/10

Therefore probability of drawing a green ball is 9/10.

Answer:

skewed left

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Since LM = 9 and ST = 6 and those are corresponding sides, the ratio of any side from [tex]\triangle{PLM}[/tex] and its corresponding side from [tex]\triangle{UST}[/tex] is 9 to 6 which can be expressed as the fraction 9/6 or 3/2.

LQ and SR are corresponding segments, so set up two ratios.

[tex]\frac{LQ}{SR}=\frac{3}{2}\\\\\frac{x-1}{x-2}=\frac{3}2}[/tex]

Now "cross-multiply" (using what you may have seen called the Means-Extremes Property).

[tex]2(x-1)=3(x-2)\\\\2x-2=3x-6\\\\4=x[/tex]

Now put in 4 for x in the expression for LQ.

[tex]LQ=x-1=4-1=3[/tex]

Answer:

89/80

Step-by-step explanation:

cos = adjacent/hypotenuse

Answer:

80/89

Step-by-step explanation:

Answer:

x+-3/4

Step-by-step explanation:

-2/3(2)+x+7/3/4

=-4/3+(4/3+7/12)

x+-3/4

I would choose to draw a sample of 20 marbles in order to make a more accurate prediction.

In general, it is generally better to draw a larger sample if you are trying to make a prediction. This is because a larger sample will provide more information and will therefore lead to a more accurate prediction.

For example, imagine that you are trying to predict the proportion of red marbles in a bag based on the samples that you draw. If you draw a sample of 10 marbles, there is a good chance that the proportion of red marbles in your sample will be different from the true proportion of red marbles in the bag.

However, if you draw a sample of 20 marbles, the proportion of red marbles in your sample will be more likely to be closer to the true proportion of red marbles in the bag.

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Answer:

C. Area

hope this helped

Answer:-14°F

Step-by-step explanation:

-2°F -12°F is basically the same as 12°F+2°F which is 14°F and then you inverse it

Answer:

6:4

This ratio means that for every 6 basketballs there are 4 soccer balls.

Answer:

x=0 and y=36

Step-by-step explanation:

30 + 6 equals 36 but it is negative so you would add 30 to negative thirty to get to zero and go into the positive numbers. So if you add 6 more you would have positive 6. so it it 36 y is 36

Answer: The Seed Calculator app is used to calculate the amount of seed required in order to produce a desired crop yield.

Step-by-step explanation:

The horizontal distance required for the ramp is 143.5 inches

Consider the following figure.

In right triangle ACB, CB is the horizontal distance,

hypotenuse AB = 144 in.

and the vertical distance AC = 12 in.

We need to find the measure of side CB

Let m be the measure of the horizontal distance CB

Using Pythagoras theorem for right triangle ACB,

(AB)² = (AC)² + (CB)²

Substitute given values in above equation.

(144)² = (12)² + (m)²

20736 = 144 + m^2

20736 - 144 = 144 + m^2 - 144

20592 = m^2

m^2 = 20592

m = 143.5 in.

Therefore,  the horizontal distance is 143.5 in.

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