Let f(x)=5x-4 and g(x)=x^2-1. Find (g*f)(-1)

Answer:

D

Step-by-step explanation:

The area is 10 units^2

Right side triangle: A = 1/2bh

A = 1/2(8 units^2)

A = 4 units^2

Left side triangle: A = 1/2bh

A = 1/2(4 units^2)

A = 2 units^2

Square: A = lw

A = 2x2 units^2

A = 4 units^2

Total area: right triangle + left triangle + square

Total area = 10 units^2

[tex]\text{Hello! :)}[/tex]

[tex]\large\boxed{10 \text{ units} ^{2} }[/tex]

[tex]\text{To find the volume, we can divide the shape into 3 different shapes}\\\\\text{A triangle with b = 2 h = 2, a square with s = 2, and a triangle of b = 4 and h = 2}\\\\\text{Therefore:}\\\\[/tex][tex]\text{Area of a triangle: A = 1/2(bh), Area of a square: } A = s^{2} \\ \\A = 1/2(2 * 2)\\A = 1/2(4)\\A = 2 \\\\A = 2^{2} \\A = 4\\\\A = 1/2(4 * 2)\\A = 1/2(8)\\A = 4\\\\\text{Add up the areas:}\\\\2 + 4 + 4 = 10 \text{ units} ^{2}[/tex]

Answer:

EM = 17.5

Step-by-step explanation: the midpoint of 35 is 17.5

Answer:

  1st option

Step-by-step explanation:

The translated image will be moved to the right of where it starts, with no change in orientation. The first option matches the required motion.

Answer:

The answer is the picture with thetriangle on the right side with the Hypotoneese facing the top left.

Answer:

$225

Step-by-step explanation:

A quarter is made up of 4 months,

If auto insurance is $900 per quarter, the monthly expense would be $900 / 4 = $225

p³q⁴

Step-by-step explanation:

given. 2p²q³ × 5pq ÷ 10p³q⁴

multiply. 10p³q⁴ ÷ 10 p³q⁴

Divide. p³q⁴

Agree..............

Answer:

work is attached and shown

The coordinates of the midpoint will be (4,5).

A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.

A midpoint is a point that lies on a line connecting two other locations and is in the middle of the line. Given that the midpoint of AB is M(-2,2) and the coordinates of A are (-8, -1).

The midpoint will be calculated by using the formula below:-

( -8 + x ) / 2 = -2

( -8 + x ) = -4

x = -4 + 8 = 4

( -1 + y ) / 2 = 2

( -1 + y ) = 4 = 1 + 4 = 5

Therefore, the coordinates of the midpoint will be (4,5).

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Answer:

3/7

Step-by-step explanation:

Answer: 31, hope this helps❤

Step-by-step explanation:

If f(4) = 22, then the value of f(1) is 31.

A sequence in mathematics is a ordered set of objects or numbers which are related with something.

For example, 1, 3, 5, ..... is a sequence of odd numbers.

Given a sequence defined as,

f(n + 1) = f(n) - 3

Given,

f(4) = 22

We know from definition,

f(4) = f(3) - 3

So, f(3) = 22 + 3 = 25

Similarly,

f(2) = 25 + 3 = 28

f(1) = 28 + 3 = 31

Hence the correct option is 31.

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Answer:

-4

Step-by-step explanation:

thats the answer

Answer:

X= -4

Step-by-step explanation:

X+8=4 this is a one step equation first, you subtract 8 on both sides that gives you

x=-4

thats your answer

Answer:

its c

Step-by-step explanation:

Graph D represents the inequality of the given Equation.

An inequality shows whether one value is less than, greater than, or simply not equal to another value by comparing them.

When two quantities are equal, we use the symbol "=," and when they are not equal, we use the symbol "≠". The first value can either be greater than (>) or less than (<).

Given equation 1/3(9x+27) > x+33

simplify the Equation

multiply both sides by 3 we get,

[1/3(9x+27)] 3 > (x+33)3

9x + 27 > 3x + 99

9x > 3x + 99 -27

9x - 3x > 72

6x > 72

x > 12

the Equation of inequality is x > 12

the line will be more than 12 and in which 12 is not included,

option D follows the required conditions, the empty circle in 12 shows 12 is not included and the line moves towards the positive side.

Hence option D is the correct representation of the given inequality.

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Answer:

x=6

Step-by-step explanation:

I hope this helps you

Answer:

32-8 + 3x = 7x

24 + 3x = 7x

Then subtract the 3x and move it to the other side

24 = 4x

Then divide both side by 4

24/4 = 4x/4

The answer is

x = 6

Answer:

10 weeks; x >= $150

Step-by-step explanation:

400 - 150 = 250

She can only withdraw up to 250.

250 = 25w

250/25 = w

10 = w

10 weeks

Given:

Number of passengers seated in the roller coaster = 21

Empty seats = 3

Number of cars in roller coaster = 4 (each with the same number of seats)

To find:

An equation that can be used to determine the number of seats in each car.

Solution:

Let s be the number of seats in each car.

Total number of seats in 4 cars = 4s

Using the given information,

Total number of seats = Occupied seated + Empty seats

                                   = 21 + 3

                                   = 24

Now, the required equation is

[tex]4s=24[/tex]

Therefore, the required equation is [tex]4s=24[/tex].

Divide both sides by 4.

[tex]s=\dfrac{24}{4}[/tex]

[tex]s=6[/tex]

Therefore, the number of seats in each car is 6.

Answer:

d = [tex]\sqrt{26}[/tex] or d = 5.1

Step-by-step explanation:

[tex]d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\d= \sqrt{(-5-0)^2+(-1-(-2))^2}\\d= \sqrt{(-5)^2+(1)^2}\\d= \sqrt{25+1}\\d= \sqrt{26}[/tex]

The line segment congruent to line HF will be  DF. The correct option is C.

In geometry, two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other. The meaning of congruency is that the two shapes are similar as well as equal in size.

Given that there are three triangles and these three triangles are connected to each other at the center's A, B, and C.

The diameter of the three circles is HF, DF, and DH. The three diameters are similar in shape and are also equal to each other.

Therefore, the line segment congruent to line HF will be  DF. The correct option is C.

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Answer:

25272 to the 10 power

Step-by-step explanation:

Answer:

12-x=x+3

12-3=x+x

9=2x

9/2=x

4.5=x

Answer:

x = 3

Step-by-step explanation:

The segment parallel to the third side and intersecting 2 sides divides those sides proportionally, that is

[tex]\frac{12-x}{x+3}[/tex] = [tex]\frac{6}{4}[/tex] ( cross- multiply )

6(x + 3) = 4(12 - x) ← distribute parenthesis on both sides

6x + 18 = 48 - 4x ( add 4x to both sides )

10x + 18 = 48 ( subtract 18 from both sides )

10x = 30 ( divide both sides by 10 )

x = 3

Answer:

Step-by-step explanation:

(3/4)(5/8) = 15/32

Answer:

Is -65

Step-by-step explanation:

Used a calculator

Step-by-step explanation:

x=-7 so 11x becomes 11 x-7

11 x -7=-77

y=-3 so -4y becomes -4 x -3

-4 x -3=-12

-77-12=-89

I hope it helps!

Answer:

160

Step-by-step explanation:

Just add lol fjfjfjfjjd

Answer:

Step-by-step explanation:

1) a-2b+3c

2) 2a+(6+3)²

Answer: no they are not equal because 1 to 5 is + 4 and 6 to 9 is + 3

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Answer:

5

yStep-by-step explanation:

The diameter of the base of the tree is 0.3 meters.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

Given that in forest management, conifer trees that exceed a height to base diameter ratio of 80 to 1 are considered unstable and the height of the tree is 24 meters.

The diameter is calculated as:-

Diameter = 24 / 80

Diameter = 0.3 meters

Hence, the diameter of the tree is 0.3 meters.

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Answer:

61& 7/20

Step-by-step explanation: