Match each function with its inverse function.

Answer:

192

Step-by-step explanation:

look for the app photomath shows u the steps

Answer:

11+10i

Step-by-step explanation: (a+ib) + ( x+ iy) = ( a+ x) +i( b+ y)

so, (,2+4i) + (9+6i) = (2+9) + (4+6)i

= 11 + 10i

Answer:

one student = 0.25

3.75 ÷ 0.25 = 15

15 students were tested by the teacher.

Step-by-step explanation:

Answer:

[tex]J'(-15,10)\\\\K'(15,10)\\\\L'(0,-20)[/tex]

Step-by-step explanation:

For this exercise you must remember that the original figure (before a transformation) is called "Pre-Image" and the one obtained after the transformation is called "Image".

 Dilation is defined as a transformation in which the Image and the Pre-Image have the same shape, but different sizes.

If a figure is dilated by a scale factor "k" with respect to the origin, the rule is:

[tex](x,y)[/tex] → [tex](kx,ky)[/tex]

In this case, the vertices of the triangle JKL (the Pre-Image) are:

[tex]J(-3.2)\\\\K(3,2)\\\\L(0,-4)[/tex]

Knowing that the scale factor is:

[tex]k=5[/tex]

You get that the vertices of the triangle J'K'L' (Image), are:

[tex]J'=(5(-3),5(2))=(-15,10)\\\\K'=(5(3),5(2))=(15,10)\\\\L'=(5(0),5(-4))=(0,-20)[/tex]

Answer:

J'(–15, 10), K'(15, 10), and L'(0, –20)

Step-by-step explanation:Glad I could help

Answer:

2

Step-by-step explanation:

Answer:

2.58333333333

Step-by-step explanation:

calculator

Answer:

3 x-intercepts

Step-by-step explanation:

f(x) = x⁴ - 5x²

There will be 4 x-intercepts on the graph of this polynomial function

Given the polynomial equation expressed as:

According to the polynomial given, we can see the highest degree of the polynomial is 4. Hence there will be 4 x-intercepts on the graph of this polynomial function

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Answer:

238cm³

Step-by-step explanation:

Final answer:

To calculate the volume, multiply the given area of the base (34 cm²) by the given height (7 cm) to obtain a volume of 238 cm³.

Explanation:

The question pertains to finding the volume of a three-dimensional object. Given the area of the base of the object is 34 cm² and the height is 7 cm, the volume V can be calculated using the formula V = area of base × height.

To solve, we simply multiply the area of the base by the height:
V = 34 cm² × 7 cm = 238 cm³.

The volume of the object is therefore 238 cm³.

Answer:

10x + 3 = 6x + 5

Based on this, we have the lines y=10x+3 and y=6x+5. Both of the equations are linear, so they are straight lines when graphed. A system of straight lines can only have one solution maximum.

Solution:

x = 1/2

y = 8

(1/2 , 8)

Step-by-step explanation:

Start by expanding with the distributive property, then simplify by collecting like terms.

5(2x + 1) - 2 = 6x + 5     Multiply "5" with each term in the brackets.

10x + 5 - 2 = 6x + 5       Collect left side's like terms (5 - 2 = 3)

10x + 3 = 6x + 5

Based on this, we have the lines y=10x+3 and y=6x+5. A solution is the same as the POI (point of intersection). Both of the equations are linear, so they are straight lines when graphed. A system of straight lines can only have one solution maximum.

Some linear systems might have no solutions (when the lines are parallel) or infinite solutions (when the lines are equivalent, the same).

To find the solution, continue with the equation and isolate "x". This will give you the x-coordinate of the point of intersection.

To isolate 'x', move everything to the other side of 'x'. To move something, you do its reverse operation to both sides in reverse BEDMAS order.

10x + 3 = 6x + 5

10x - 6x + 3 = 6x - 6x + 5     Subtract 6x from both sides

4x + 3 = 5     "6x" cancelled out on the right. Simplified left (10x-6x=4x)

4x + 3 - 3 = 5 - 3      Subtract 3 on both sides. "3" on the left will cancel out

4x = 2      The right side was simplified (5 - 3 = 2).

4x/4 = 2/4      Divide both sides by 4 to isolate 'x'. Simplify right side.

x = 1/2          Solution's x-coordinate

Substitute what you found for 'x' into any equation that has 'y' (either y=10x+3 or y=6x+5). I will choose the first equation.

y = 10x + 3      

y = 10(1/2) + 3        Multiply 1/2 and 10

y = 5 + 3       Add

y = 8          Solution's y-coordinate

Therefore the solution is when x=1/2 and y=8, or as an ordered pair, (1/2 , 8).

Answer:43, 38, 33

Step-by-step explanation:

The pattern is subtracting 5

63 -5 = 58

58 - 5 = 53

53 - 5 = 48

48 - 5 = 43

43 - 5 = 38

38 - 5 = 33

Answer:

Reggie collected 900 cans and bottles.

Step-by-step explanation:

360 ÷ 40 = 9

9 x 100 = 900

900 - 40% = 540

900 - 540 = 360

So, Reggie collected 900 cans and bottles. And between him and Tanner, they collected 1,260 cans and bottles. It must have been VERY dirty where they were collecting the cans and bottles.

You can write an equivalent fraction with a smaller numerator and denominator

This is the ratio of two integers:

We are to determine if you can write an equivalent fraction with a smaller numerator and denominator.

Ratio = 5/15

Simplify

Ratio = (5*1)/(5*3)

Ratio = 1/3

This shows that you can write an equivalent fraction with a smaller numerator and denominator

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Answer:

3.5 m/s²

Step-by-step explanation:

We are given;

We are required to determine the acceleration of the bicycle;

From Newton's second law of motion;

F = ma

Rearranging this;

a = F÷ m

Therefore;

Acceleration = 3.5 × 10² N ÷ 1.0 × 10² kg

                     = 3.5 m/s²

Thus, the acceleration of the bicycle is 3.5 m/s²

Answer:

1. p=1.3333

2. k=1

3. n=4

4. x=6.6666

5. m=17.5

6. r=8.75

Answer:

Ans = 7/8

Step-by-step explanation:

28 out of 32

= 28/32

Dividing through by 4

= 28/4 / 32/4

= 7/8

Answer:

6 hours.

Step-by-step explanation:

5/6 / 5 is 1/6. 6 divided by 1 out of 6 is 6. so 6 hours

6 hours

If it takes 5 hours to paint 5/6 of a truck that means that that 1 hour is 1/6

Answer:

[tex]200 \ marbles[/tex]

Step-by-step explanation:

[tex]Let\ Alan\ have\ =x\ marbles\\Brady\ have = (x+20)\ marbles\\Matt\ have = . (x+120)\ marbles\\\\Total\ marbles = 740\\x+(x+20)+(x+120)=740\\x+x+20+x+120=740\\3x+140=740\\3x=740-140\\3x=600[/tex]

Dividing [tex]3[/tex] both sides.

[tex]\frac{3x}{3}=\frac{600}{3}\\\\x=200[/tex]

We solve the problem by setting up a linear equation based on the information given. We solve it to find that Brady has 260 marbles and then deduct or add from this number to find the number of marbles for Alan and Matt. Our answer is that Alan has 240 marbles.

This problem involves solving linear equations in order to find the number of marbles each person has. Firstly, we need to represent each person's marbles in terms of the other person's marbles as given in the question.

Let's say Brady has 'b' marbles. From the problem, we deduce that Alan has 'b-20' marbles (20 less than Brady). We can also deduce that Matt has 'b-20+120' marbles (120 more than Alan).

Given that the total number of marbles is 740, we can set up the equation b + (b - 20) + (b - 20 + 120) = 740. Solving this linear equation, we get b = 260. Then, substituting b in the expressions for Alan and Matt will give us the number of marbles for each person, implying Alan has 260 - 20 = 240 marbles.

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The y-intercept of the line perpendicular to y = -3/4x + 5, passing through the point (-3, -3), is 1. This is found by first determining the slope to be 4/3, and then using the point-slope form equation to solve for the y-intercept when x is zero.

To find the y-intercept of the line perpendicular to the line y = -3/4x + 5 that passes through the point (-3, –3), we must first determine the slope of the perpendicular line. Since perpendicular lines have slopes that are negative reciprocals of each other, the slope of the perpendicular line would be 4/3 (since the negative reciprocal of -3/4 is 4/3).

Next, we can use the point-slope form of the equation of a line to find the equation of the perpendicular line. The point-slope formula is y – y1 = m(x – x1), where (x1, y1) is a point on the line and m is the slope of the line. Substituting the given point and the slope into the formula, we get y – (–3) = 4/3(x – (–3)), which simplifies to y + 3 = 4/3(x + 3).

To find the y-intercept, set x to 0 and solve for y. Doing so, we obtain y + 3 = 4/3(0 + 3), or y + 3 = 4. Subtracting 3 from both sides, we find the y-intercept to be y = 1.

The function f(x) = 5 - 1.5x can be graphed by calculating the y values for a set of x-values, plotting these points, and drawing a straight line that connects them, as it is a linear function with a slope of -1.5.

To graph the function f(x) = 5 - 1.5x, we can start by finding values for x and calculating the corresponding y-values. For instance, when x = 0, f(x) = 5 - 1.5*0 = 5. When x = 1, f(x) = 5-1.5*1 = 3.5. So, we can plot these points (0,5) and (1,3.5) respectively.

Next, because this is a linear function (it has the form y = mx + b), these points should form a straight line. Simply draw a line that passes through these points. Further, this function has a negative slope of -1.5 which means the line should be falling as it moves from left to right.

The x-axis and the y-axis must be labelled distinctly and the scale should be defined according to the maximum and minimum values of x and y observed.

Note: Without any restrictions on the domain mentioned, we assume that x is a real number and therefore, the graph stretches infinitely in both directions.

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-4(3x + 6) is not equivalent to other expressions

Solution:

Let us use the distributive property to get the equivalent expression

Distributive property is represented as:

a(b + c) = ab + ac

[tex]-6(2x - 4) = (-6 \times 2x) + (-6 \times -4) = -12x + 24[/tex]

Using distributive property,

[tex]-(12x - 6) + 18 = -12x + 6 + 18 = -12x + 24[/tex]

Solve the expression using distributive property

[tex]-3(4x-3) + 15 = ((-3 \times 4x)+(-3 \times -3)) \\\\-3(4x-3) + 15= -12x + 9 + 15 \\\\-3(4x-3) + 15=-12x + 24[/tex]

[tex]-4(3x + 6)= -4 \times 3x + -4 \times 6\\\\-4(3x + 6)= -12x -24[/tex]

Thus fourth expression is not equivalent to other expressions

Answer:

Lee sold 60 magazines

Step-by-step explanation:

1st week:

Lee sold = x magazines

Terrence sold [tex]=x+0.3x=1.3x[/tex] magazines (30% more)

2nd week:

Lee sold = 0 magazines

Terrence sold = 12 magazines

Total:

Lee sold = x + 0 = x magazines

Terrence sold = 1.3x + 12 magazines

If Terrance sold 50% more than Lee by the end of the second week, then

x - 100%

1.3x + 12 - 150% (50% more), then

[tex]\dfrac{x}{1.3x+12}=\dfrac{100}{150}\\ \\150x=100(1.3x+12)\\ \\150x=130x+1,200\\ \\150x-130x=1,200\\ \\20x=1,200\\ \\x=60[/tex]

Hence, Lee sold 60 magazines

Answer:

15(3+2x)

Step-by-step explanation:

Factor out the 15.

Answer:

the highest common factor of 32 and 24 is 8.

Step-by-step explanation:

Answer:

5 bags of brand x and 6 bags of brand y.

Step-by-step explanation:

Nutrient requirement for the garden:

39 pounds of nutrient a and

16 pounds of nutrient b

Component of each bag of brand x:

3 pounds of nutrient a and 2 pounds of nutrient b

Therefore, 5 bags of brand x will contain 15 pounds of nutrient a and 10 pounds of nutrient b

Component of each bag of brand y:

4 pounds of nutrient a and 1 pound of nutrient b

Therefore, 6 bags of brand y will contain 24 pounds of nutrient a and 6 pounds of nutrient b

Altogether, she should buy 5 bags of brand x and 6 bags of brand y to meet the nutrient requirement of the garden

Answer:

I got the answer -2

Step-by-step explanation:

Answer:

•{(-2,6), (-1,3), (0,0), (1, -3), (2,-6)}

Step-by-step explanation:

Answer:

1684 words

Step-by-step explanation:

Step-by-step explanation:

In x- intercept: -250

In y- intetcept: 100

Answer:

10cm

Step-by-step explanation:

Since the area of the rectangle is 5times the area of the triangle, let us first of all find the area of the triangle.

From the question, we obtained the following information:

h = 8cm

b =6cm

Area of triangle = 1/2 x b x h

Area of triangle = 1/2 x 6 x 8

Area of triangle = 24cm^2

But,

Are of the rectangle = 5times the area of triangle i.e

Area of rectangle = 5 x 24 = 120cm^2

Area of rectangle = L x w

L = 12cm

Area of rectangle = 120cm^2

W =?

120 = 12 x w

Divide both side by 12

W = 120 /12 = 10cm

Answer:

x<-2

Step-by-step explanation:

3x-5>4x-3

-5>x-3

-2>x or x<-2