What property is used in the second step of solving the inequality below?
5x-9<91
5x<100
x<20

Answer:

10

Step-by-step explanation:

It is 10 because 9 is over 5 so it would round to 10

Please mark brainliest my answer got deleted

Answer:

KONO DIO DA

Step-by-step explanation:

Answer:

A)3

Step-by-step explanation:

Answer:

[tex]g(x)= 3x-2[/tex], graph shifted 2 units down.

Step-by-step explanation:

[tex]g(x)= 3x-2[/tex]

g(x) = 3x is a parent function.

When we compare the graph of parent function g(x)= 3x with [tex]g(x)= 3x-2[/tex], negative 2 is added at the end

f(x)---> f(x) + a , the graph will be shifted 'a' units up

f(x)-> f(x) -a , the graph will be shifted 'a' units down

[tex]g(x)= 3x-2[/tex], In this g(x) we have -2 at the end.

So the graph will be shifted 2 units down.

The graph of 3x - 2 is a vertical translation by 2 units down of the function f(x) = 3x

According to the question, we are given the parent function f(x) = 3x, we need to determine the relationship between the parent function and g(x) = 3x - 2

If the function f(x) translate by k units downwards, the resutlting function will be expressed as h(x) - k.

Hence if h(x) = 3x translate by 2 units downwards, the resulting function will be expressed as 3x - 2.

The graph of 3x - 2 is a vertical translation by 2 units down of the function h(x) = 3x

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Answer:

1000 cubic feet

Step-by-step explanation:

1000 cubic feet because you have to find the volume of the small cube on the bottom right which is 5x5x5=125, volume of the middle right rectangular prism is 20x5x5=500, and volume of the right side rectangular prism is 15x5x5=375. 125+550+375= 1000 cubic feet.

Answer:

Domain: {0, 1, 2, ..., 175}.

Step-by-step explanation:

We are given that a club bought 175 frisbees at a cost of $200 which you plan to sell for $5 each.

We are to find the domain of this function.

Domain is actually the input into a function which is the x value.

Here sales = 5x where x represents the number of frisbees sold.

So the profit will be:

Profit = Sales - Cost = 5x - 200

Here in this case, the domain would be the number of frisbees sold which is between 0 to 175.

Answer:

C= 10

Step-by-step explanation:

A=8

B=6

C= ?

1. Set up the equation for the Pythagorean theorem and fill in the variables.

8² + 6² = c

64 + 36 = 100

2. Square root 100.

Square root of 100 = 10

Answer = 10

The missing length on the right triangle is 10 in.

"It is a triangle whose one of the angle measures 90°"

"It is the longest side of the right triangle."

"For a right triangle,

[tex]a^2+b^2=c^2[/tex], where c is the hypotenuse and a, b are other two sides of the right triangle."

For given question,

We have been given a right triangle with a = 8 in. and b = 6 in

We need to find the the value of c.

Using Pythagorean theorem,

[tex]\Rightarrow c^2 = a^2+b^2\\\Rightarrow c^2 = 8^2+6^2\\\Rightarrow c^2 = 64+36\\\Rightarrow c^2 = 100\\\Rightarrow c=10~in[/tex]

Therefore, the missing length on the right triangle is 10 in.

Learn more about the Pythagorean theorem here:

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Answer:

Option A: 15 square inches

Step-by-step explanation:

Given

[tex]Base = 10 inches\\Height = 3 inches[/tex]

We know that the formula for the area of triangle is:

[tex]Area=\frac{1}{2}*base*height\\ = 0.5*10*3\\= 15[/tex]

So the area is 15 square inches.

We can conclude that option A: 15 square inches is the correct answer ..

Answer:

The correct answer is option A.  15 square inches

Step-by-step explanation:

Points to remember

Area of triangle = bh/2

b - Base of triangle

h - Height of triangle

To find the area of triangle

Here base b = 10 inches and

height h = 3 inches

Area = bh/2

 = (10 * 3)/2

 = 30/2 = 15 square inches

The correct answer is option A.  15 square inches

8*8 equals 64 and a square root is a number times another number equals thr number that you are going for

Answer: option d.

Step-by-step explanation:

To find the square root of [tex]r^{64}[/tex], it is important to remember the following:

[tex]\sqrt[n]{a^n}=a[/tex]

Then, knowing this, you can find the square root of  [tex]r^{64}[/tex] with this procedure:

[tex]\sqrt{r^{64}}=r^{32}[/tex]

There is another procedure to solve the exercise. Knowing that:

[tex]\sqrt[n]{a}=a^{\frac{1}{n}}[/tex], you get:

[tex]\sqrt{r^{64}}=r^{\frac{64}{2}}=r^{32}[/tex]

Then the answer is the option d.

Answer: 10

Step-by-step explanation:

see attached picture

Answer:

It is 10

Step-by-step explanation:

Finding the slope using the two points:

The formula for slope is

[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

In this case...

[tex]y_{2} =-3\\y_{1} =2\\x_{2} =3\\x_{1} =-4[/tex]

^^^Plug these numbers into the formula for slope...

[tex]\frac{-3-2}{3 - (-4)}[/tex]

[tex]\frac{-5}{7}[/tex]

^^^This is your slope

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:

[tex]-\frac{5}{7}[/tex]

Step-by-step explanation:

Slope formula:

     ↓

[tex]\frac{Y_2-Y_1}{X_2-X_1}[/tex]

[tex]\frac{(-3)-2}{3-(-4)}=\frac{-5}{7}=-\frac{5}{7}[/tex]

-5/7 is the correct answer.

Answer:

4777.28 N

Step-by-step explanation:

The gravitational force down the slope is given by the formula;

(mass *g * sin θ )  

where;

θ is the angle of inclination of the slope

g is the gravitational pull

We plug in the given values into the above expression;

(4,000 x 9.8 x sin 7) = 4777.28 N.  

The frictional force must equal to 4777.28 N (pointing up the slope).

Final answer:

To calculate the friction force acting on a 4000 kg truck parked on a slope, the component of the truck's weight acting down the slope is determined and found to be approximately 4780 N. This value represents the maximum static friction force available to prevent the truck from sliding.

Explanation:

The question is asking to calculate the friction force acting on a truck parked on a slope. To find the friction force, first, we need to calculate the component of the truck's weight that is acting down the slope. This can be found with the formula Wparallel = mg sin(θ), where m is the mass of the truck, g is the acceleration due to gravity (9.8 m/s²), and θ is the angle of the slope.

The truck's weight component acting along the slope is:
Wparallel = 4000 kg * 9.8 m/s² * sin(7°) ≈ 4000 kg * 9.8 m/s² * 0.12187 ≈ 4780 N

The friction force will counteract this downhill force to prevent the truck from sliding. Assuming that the friction force equals the downhill component of the truck's weight to keep the truck stationary, the friction force on the truck is approximately 4780 N. However, without the coefficient of friction, this represents the maximum static friction force that could occur before the truck would start to slide down the slope.

Answer:

that graph will feature an area delimited by a line of slope m passing through the origin (0,0).

Since m>0 the slope is positive, meaning the line goes up.

Since the equation is y > mx, the inequality sign being >, that means the area represented will be ABOVE the line drawn.  

So it will for sure include ALL quadrant II (with -x and +y values) and NONE of the quadrant IV (with +x and -y values) since the line is passing through the origin (0,0).

Answer:

The graph of y > mx, where m > 0, consists of a dashed line and a shaded half plane. The line has a positive slope and passes through the origin. The shaded half plane is above the line.

Step-by-step explanation:

Answer:

The correct option is B.

Step-by-step explanation:

Solution:

The shortest on map is 7cm  

The longest on map is 14 cm  

The shortest in real life is 120 km  

Let the longest in real life is x km  

So,

The ratio is:

7/120 = 14/x  

x = 120*(14) / 7

x=1,680/7

x= 240 km

The longest in real-life is 240 km

Thus the correct option is B....

[tex]A=68units^2[/tex]

First of all, let's plot all the points, so we get the first figure below. Since a Polygon is a shape with straight sides and closed, then if we draw lines in order for the shape to be closed, we get the shape as shown in the second figure. This polygon is a trapezoid because at least one pair of opposite sides are parallel. To get the area, we know the formula:

[tex]For \ any \ trapezoid: \\ \\ A=\frac{(b_{1}+b_{2})h}{2} \\ \\ b_{1} \ and \ b_{2} \ are \ the \ two \ parallel \ bases \\ \\ h \ is \ the \ height[/tex]

From the second figure, we know:

[tex]b_{1}=6 \\ \\ b_{2}=11 \\ \\ h=8 \\ \\ Then: \\ \\ A=\frac{(6+11)\times 8}{2} \\ \\ \boxed{A=68units^2}[/tex]

Answer:

b

Step-by-step explanation:

they will be parallel same slope jujst different start points

ANSWER

B. infinite solutions

EXPLANATION

We want to solve the equation;

[tex]6x + 3y = - 6...(1)[/tex]

and

[tex]2x + y = - 2...(2)[/tex]

We multiply the second equation by 3 to get:

[tex]6x + 3y = - 6...(3)[/tex]

We now subtract equation (1) and (3).

[tex]6x - 6x + 3y - 3y = - 6 - - 6[/tex]

This implies that

[tex]0 = 0[/tex]

Hence the equation has infinitely many solutions.

Step-by-step explanation:

Remember to follow PEMDAS. PEMDAS = Parenthesis, Exponents (& roots), Multiplication, Division, Addition, Subtraction.

Note the equation:

y = (1/4)x + 1

Plug in a number to x, & solve to get the answer for the variable (y).

In this question, they give you 3 numbers to plug into x: 4, 8, 12. Plug them in:

When x = 4

y = (1/4)(4) + 1

Solve. Simplify. Remember to follow PEMDAS. First, multiply 1/4 with 4:

y = (1/4)(4) + 1

y = (1 * 4)/4 + 1

y = 4/4 + 1

y = 1 + 1

Simplify. Combine the terms:

y = 1 + 1

y = 2

when x = 4, y = 2.

When x = 8

y = (1/4)(8) + 1

Solve. Simplify. Remember to follow PEMDAS. First, multiply 1/4 with 8:

y = (1/4)(8) + 1

y = (1 * 8)/4 + 1

y = 8/4 + 1

y = 2 + 1

y = 3

when x = 8, y = 3.

When x = 12

y = (1/4)(12) + 1

Solve. Simplify. Remember to follow PEMDAS. First, multiply 1/4 with 12:

y = (1/4)(12) + 1

y = (1 * 12)/4 + 1

y = 12/4 + 1

y = 3 + 1

y = 4

when x = 12, y = 4.

~

Answer:

They will land at the same time.

Step-by-step explanation:

According to Gallileo's test where he dropped two balls (one heavier than the other) from the same height and they landed both a precisely the same time then we know that as long as two objects are dropped from the same height then no mtter the weight they will land at the same time.

Answer: at about the same time as the lighter object

Answer:

15x - 21x² + 12

Step-by-step explanation:

(3x - 6)(2 X 2 - 7x + 1) = (3x - 6)(4 - 7x + 1)

                                  = (3x - 6)(5 - 7x)

                                  = (3x X 5) + (3x X -7x) + (-6 X 5) + (-6 X -7)

                                  = 15x - 21x² - 30 + 42

                                  = 15x - 21x² + 12

Answer:

(3x-6)(2x² -7x+1)

= 6x³ - 33x² + 45x - 6

Step-by-step explanation:

(3x-6)(2x² -7x+1)

To find the product of this we will expand the equation by multiplying each element in one bracket with the other bracket.

(3x-6)(2x² -7x+1)

Expand

(3x)(2x² - 7x + 1) (-6)(2x² - 7x + 1)

Opening the bracket (multiple)

6x³ - 21x² + 3x - 12x² + 42x - 6

Collect like terms

= 6x³ - 21x² - 12x² + 3x + 42x - 6

= 6x³ - 33x² + 45x - 6

Answer:

(6,-31)

Step-by-step explanation:

f(x) = (x-6)^2 -31

This is in the form

f(x) = (x-h)^2 +k

where (h,k) is the vertex

(6,-31) is the vertex of the parabola

45x = 25x + 57 + x

45x = 26x + 57

45x - 26x = 57

19x = 57

x = 57/19

x = 3

Answer: Second option.

Step-by-step explanation:

Below are some transformation for a function f(x):

If [tex]f(x)+k[/tex] then the function is shifted up "k" units.

If [tex]f(x)-k[/tex] then the function is shifted down "k" units.

If [tex]f(x+k)[/tex] then the function is shifted "k" units to the left.

If [tex]f(x-k)[/tex] then the function is shifted "k" units to the right.

Knowing this tranformations and given the parent function [tex]f(x)=x^3[/tex] and the function [tex]g(x) = (x -2)^3 + 7[/tex], we can conclude that the function g(x) is shifted 2 units to the right and 7 units up.

We can observe that this matches with the second option.

Answer:

4181

Step-by-step explanation:

The Fibonacci sequence starts with 0 and 1... then all other terms are obtained by adding the two previous terms.

0, 1, 1, 2, 3, 5, 8, 13, 21, and so on.

So, if you have any two consecutive terms from the sequence, you can easily find the next one by adding them together:

F(19) = F(17) + F(18)

F(19) = 1597 + 2584  = 4181

Answer:

[tex]\large\boxed{S.A.=96\ cm^2}[/tex]

Step-by-step explanation:

We have:

(1) two trapezoids with bases b₁ = 7cm and b₂ = 5cm and the height h = 4cm

(2) three rectangles 3 cm × 7 cm, 3 cm × 4 cm and 3 cm × 5 cm.

The formula of an area of a trapezoid:

[tex]A=\dfrac{b_1+b_2}{2}\cdot h[/tex]

Substitute:

[tex]A=\dfrac{7+5}{2}\cdot4=24\ cm^2[/tex]

Calculate the areas of the rectangles:

[tex]A_1=(3)(7)=21\ cm^2\\\\A_2=(3)(4)=12\ cm^2\\\\A_3=(3)(5)=15\ cm^2[/tex]

The Surface Area:

[tex]S.A.=(2)(24)+21+12+15=96\ cm^2[/tex]

Answer:

See below

Step-by-step explanation:

So basically, your orders pairs are like this (x,y) and you're just replacing those variables with the numbers in the equations.

Like such:

Answer: see photo below

Step-by-step explanation:

Answer:

(6, ∞)

(-∞, 6)

Step-by-step explanation:

x^2 + 36 > 12x

Subtract 12 x from each side

x^2 -12 x+ 36 > 12x-12x

x^2 -12 x+ 36 > 0

Factor

What 2 numbers multiply together to give us 36 and add together to give us 12

-6*-6 = 36

-6+-6 = 12

(x-6) ^2 > 0

Take the square root of each side

x-6 >0   or  x-6 <0

x>6     or   x < 6

Answer:

c. and second one is B

Step-by-step explanation:

Answer:

[tex]\large\boxed{\bold{No\ real\ solutio}\\\boxed{\dfrac{3}{2}\pm\dfrac{1}{2}i}[/tex]

Step-by-step explanation:

[tex]2x^2=6x-5\qquad\text{subtract}\ 2x^2\ \text{from both sides}\\\\0=-2x^2+6x-5\qquad\text{change the signs}\\\\0=2x^2-6x+5\\\\2x^2-6x+5=0\\\\\text{use the quadratic formula:}\\\\ax^2+bx+c=0\\\\if\ b^2-4ac<0,\ then\ the\ equation\ has\ no\ real\ solution\\\\if\ b^2-4ac=0,\ then\ the\ equation\ has\ one\ solution\ x=\dfrac{-b}{2a}\\\\if\ b^2-4ac>0,\ then\ the\ equation\ has\ two\ solutions\ x=\dfrac{-b\pm\sart{b^2-4ac}}{2a}[/tex]

[tex]2x^2-6x+5=0\\\\a=2,\ b=-6,\ c=5\\\\b^2-4ac=(-6)^2-4(2)(5)=36-40=-4<0\\\\\bold{No\ real\ solution}\\\\\text{If yo want the complex solution, then:}\\\\i=\sqrt{-1}\to\sqrt{-4}=\sqrt{4}\cdot\sqrt{-1}=2i\\\\x=\dfrac{-(-6)\pm2i}{2(2)}=\dfrac{6\pm2i}{4}=\dfrac{3\pm i}{2}=\dfrac{3}{2}\pm\dfrac{1}{2}i[/tex]

Answer:

9 is the second number in this sequence

Step-by-step explanation:

So if n is the first integer in this sequence, then the following are true of the sequence of consecutive odd numbers (just means the odd integer right after):

First integer:  n

Second integer: n+2

Third integer: n+4

Fourth integer: n+6

-------------------------------

Sum of these integers are 4n+12=40

Subtract 12 on both sides: 4n     =28

Divide both sides by 4:        n       =7

So first integer 7

Second integer: 9

Third integer:  11

Fourth integer: 13

When you add these up you do get 40!

Answer: draw line segment AB

Step-by-step explanation (A PEX)

The second step in constructing this equilateral triangle is draw two circles with radius AB. Option A is correct.

An equilateral triangle is the triangle in which all the three sides are of equal length in measure.

The first step in constructing this equilateral triangle, to draw segment AB. The second step for this has to find out.

Here, the triangle ABC is shown in the given image. As it is known that all the sides of a equilateral triangle are equal. Therefore,

[tex]AB=BC=AC[/tex]

The first circle is co-occur, the second circle completely. This happens when the two circles made with same radius.

Now from the center point of the circle to the boundary of that circle, is called the radius of the circle., Thus, the line segment AB is the radius of the two circles.

Hence, the second step in constructing this equilateral triangle is draw two circles with radius AB. Option A is correct.

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