h(x)= x^3 - 2x and g(x)= 3x +5 Find (h-g)(x)

Answer:

a^2+b^2=c^2

15+17=32cm

Step-by-step explanation:

Answer:

57.59cm

Step-by-step explanation:

Use the Pythagorean theorem to calculate the hypotenuse from right triangle sides. Take a square root of sum of squares:

c = √(a² + b²)

Right triangle with law of sines formulas. a over sin(α) equals b over sin(β) equals c, because sin(90°) = 1

Given angle and one leg

c = a / sin(α) = b / sin(β), from the law of sines

Given area and one leg

As area of a right triangle is equal to a * b / 2, then

c = √(a² + b²) = √(a² + (area * 2 / a)²) = √((area * 2 / b)² + b²)

Answer:

yes

Step-by-step explanation:

Answer:

i think its 6/2=3/1

Step-by-step explanation:

Step-by-step explanation:

s = ut + 0.5at²

= (3)(1/3) + 0.5(-12)(1/3)²

= 1 - 2/3

= 1/3

The value of s is 1/3.

Answer:

[tex]s = ut + \frac{1}{2} a {t}^{2} \\ s = (3 \times \frac{1}{3} ) + ( \frac{1}{2} \times -12 \times {( \frac{1}{3}) }^{2} ) \\ s = (1) + ( -\frac{2}{3} ) \\ s = - \frac{1}{3} \\ s = -\frac{1}{3} \: metres[/tex]

Answer:

[tex]48[/tex]

Step-by-step explanation:

There are [tex]6[/tex] pots each of which contains [tex]8[/tex] flowers.

In the bar model it can be seen that one unit of the bar represents a pot with [tex]8[/tex] flowers. The entire bar represents [tex]6[/tex] pots. We will need to add [tex]8[/tex] six times or multiply [tex]8[/tex] with [tex]6[/tex] to find the total number of flowers.

So total number of flowers is

[tex]8+8+8+8+8+8=48[/tex]

or

[tex]8\times 6=48[/tex].

So, the total number of flower is [tex]48[/tex].

Answer:

Step-by-step explanation:

This is B

Answer:

4

Step-by-step explanation:

because if change to slope intercept form: y = mx+b

4=m

m=slope

Answer: Slope = -4.000/2.000 = -2.000

x-intercept = 285/2 = 142.50000

y-intercept = 285/1 = 285.00000

Step-by-step explanation: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

4*x+2*y-(12*48-2-4)=0

STEP

1

:

Pulling out like terms

1.1 Pull out like factors :

4x + 2y - 570 = 2 • (2x + y - 285)

Equation at the end of step

1

:

STEP

2

:

Equations which are never true:

2.1 Solve : 2 = 0

This equation has no solution.

A a non-zero constant never equals zero.

Equation of a Straight Line

2.2 Solve 2x+y-285 = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line 2x+y-285 = 0 and calculate its properties

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 285/1 so this line "cuts" the y axis at y=285.00000

y-intercept = 285/1 = 285.00000

Calculate the X-Intercept :

When y = 0 the value of x is 285/2 Our line therefore "cuts" the x axis at x=142.50000

x-intercept = 285/2 = 142.50000

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 285.000 and for x=2.000, the value of y is 281.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 281.000 - 285.000 = -4.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

Slope = -4.000/2.000 = -2.000

Geometric figure: Straight Line

Slope = -4.000/2.000 = -2.000

x-intercept = 285/2 = 142.50000

y-intercept = 285/1 = 285.00000

Answer:

No

Step-by-step explanation:

The amount of minutes to climb up 1 foot of height would take around 2 to 3 minutes. if you divide 950 with 2, you get 475 which would be the time in minutes it takes to climb, if we convert 475 minutes to hours, it would be an estimate of  7.92 hours. So as we see they would need an extra 92 minutes to climb the full 950 feet. If you were able to climb it at an average rate of 135.7 ft/hr, you could make it.

(this was someone elses explanation)

Answer:

. i think it's wrong

Given:

Twice the sum of x and 3 is decreased by 13.

To find:

The expression for the given statement.

Solution:

The sum of x and 3 is (x+3).

Twice the sum of x and 3 is two times of (x+3), i.e., 2(x+3)

Negative sign is used of decrease.

Decreased by 13 is represented by -13.

Using these representation, we get

Twice the sum of x and 3 is decreased by 13: [tex]2(x+3)-13[/tex]

Therefore, the required expression is [tex]2(x+3)-13[/tex].

Answer:

Scalene triangle (As the definition says)

Answer:

X<2

Step-by-step explanation:

- signs will be cancelled after taking common.

then 6 is subtracted from 18 and we get 12.

then 12 is divided by 6 and we get 2.

the inequality sign will remain the same.

Answer:

I hope this helps!

Answer:

-2, -4, -1.5

Step-by-step explanation:

-6x+10>16

-6x>6

x<-1

(anything less than -1)

Answer:-4, -2, -1.5

Step-by-step explanation: First, simplify the equation. You should get -6x+10>16

Then, substitute the values into the place of x. If they are greater than 16, they are solutions. -4, -2, and -1.5 work. Hope this helps you!

Answer:

25% i believe

Step-by-step explanation:

40 is 1/4 (or 25%) of 160

Answer:

The optimal, vertex, value will be a minimum

Step-by-step explanation:

The given zeros of the quadratic relation are 3 and 3

The sign of the second differences of the quadratic relation = Positive

Whereby the two zeros are the same as x = 3, we have that the point 3 is the optimal value or vertex (the repeated point in the graph of the quadratic relation) of the quadratic relation

Whereby, the table of values for the quadratic relation from which the second difference is found starts from x = 3, we have;

To the right of the coordinate points of the zeros of the quadratic relation, the positive second difference in y-values gives as x increases, y increases which gives a positive slope

By the nature of the quadratic graph, the slope of the line to the left of the coordinate point of the zeros of the quadratic relation will be of opposite sign (or negative). The quadratic relation is cup shaped and the zeros, therefore, the optimal value will be a minimum of the quadratic relation

Answer:

-3 < x < -2

Step-by-step explanation:

Here, we want the interval in which g is increasing

The interval are the point in which we have an upward curve

From the given graph, we can see an upward curve at -3 < x < -2

And that is our answer

Answer:

The inequality is 6x ≥ -24

The solution of this inequality is {x : x ∈ R, x ≥ -4} ⇒ [-4, ∞)

Step-by-step explanation:

Let us solve the question

∵ Six times a number x means 6 × x = 6x

∵ At least means ≥

∴ Six times a number x is at least -24 is 6x ≥ -24

∴ The inequality is 6x ≥ -24

Now we will find the solution of the inequality

∵ 6x ≥ -24

→ Divide both sides by 6

∵ [tex]\frac{6x}{6}[/tex] ≥ [tex]\frac{-24}{6}[/tex]

∴ x ≥ -4

∴ The solution of this inequality is {x : x ∈ R, x ≥ -4} ⇒ [-4, ∞)

Answer:

The inequality is 6x ≥ -24

The solution is x ≥ -4

Step-by-step explanation:

To solve this you have to divide both sides by 6, so 6 ÷ 6 cancels out and -24 ÷ 6 = -4

So, the solution is x ≥ -4

Step-by-step explanation:

2x^3=128

or,x^3=128/2

or,x^3=64

or,x=3√64

or,x=4

Answer:

B

Step-by-step explanation:

Answer:

21.3%

Step-by-step explanation:

Given that:

Money spent by Jodie for buying English reading books = 25% lesser than that of Claudia

and

Money spent by Gianna is 9% lesser than that of Claudia.

To find:

By what percent, Gianna spent more than Jodie ?

Solution:

Let the money spent by Claudia on her English books = 100

Now, as per question statement:

Money spent by Jodie = 100 - [tex]\frac{9}{100}\times 100[/tex] = 75

Money spent by Gianna = 100 - [tex]\frac{25}{100}\times 100[/tex] = 91

Now, to find the answer:

[tex]\dfrac{\text{Difference between money spent by Gianna and Jodie}}{\text{Money spent by Jodie}}\times 100[/tex]

[tex]\Rightarrow \dfrac{91-75}{75}\times 100\\\Rightarrow \dfrac{16}{75}\times 100\\\Rightarrow \bold{21.3\%}[/tex]

Therefore, Gianna spent 21.3% more than the amount that was spent by Jodie.

Answer:

The value of x = -10 if g(x)=0.

i.e.

When x = 0, g(-10)=0

Step-by-step explanation:

From the given graph, it is clear that the graph passes through the x-axis when x = -10.

In other words, the function becomes zero at x = -10.

Thus, the x-intercept x = -10 will determine that:

at x = -10 , g(-10) = 0

Thus, the value of x = -10 if g(x)=0.

i.e.

When x = 0, g(-10)=0

Answer:

6

Step-by-step explanation:

2/ 1/3=6

The reason why is because, when you divide a fraction it will become a multiplication and depending on the numerator and the denominator it changes the number. For example, 2/ 2/3 would be 3. Therefore, your answer to this question would be 6.

Answer:

800,00

Step-by-step explanation:

It's simple math

Answer:

800,000

Step-by-step explanation:

Because the ten thousand's place is not 5 or more than that!

Answer:

f(1) = 1

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

f(1) is asking for the y-value when x = 1. According to the graph of f, when x = 1, y = 1. Therefore, f(1) = 1.

Answer:

1/4

Step-by-step explanation:

Answer:

The answer is 1.2

Step-by-step explanation:

Answer:

1. Volume = 5128.67 ft³

The volume if sphere is given by:

V = (4/3)πr³

If the tank is cut into half vertically, then the volume of sphere becomes.

V = (4/3)πr³ / 2

If the tank is cut into half again horizontally, then the volume of the sphere becomes.

V = (4/3)πr³ / 4

Hence, as the main tank forms a quarter sphere, its Volume is given by:

V = (4/3)πr³ / 4

It is given in the question that the radius is 70 ft.

Substitute that in the given formula:

V = (4/3)π(70)³ / 4

V = 5128.67 ft³

 2. Volume of tank = 461,814 ft³

Step-by-step explanation:

Congruent tanks implies that both tanks are of identifical shape, form & dimensions. Congruent means that the tanks have the same radius as well as height. Hence, the heights and radii of tanks #1 and #2 are equal and the same.

Let's list out the information given us:

radius(tank #1) = 35 ft ⇒ radius(tank #2) = 35 ft, height(tank #2) = 120 ft ⇒ height(tank #2) = 120 ft

Volume of cylinder = πr²h

The tanks have been cut into half, as such:

Volume of tank = ½πr²h

Volume of tank = Volume(tank #1) + Volume(tank #2)

Since the tanks are congruent (same dimensions), we have:

⇒ ½πr²h + ½πr²h ⇒ πr²h

Volume of tank =  π * 35² * 120 = 147,000 π

Volume of tank = 461,814 ft³

3.  1047.2 ft³

Step-by-step explanation:

The following information is missing:

The main show tank has a radius of 60 feet and forms a quarter sphere where the bottom of the pool is spherical and the top of the pool is flat. (Imagine cutting a sphere in half vertically and then cutting it in half horizontally)

The only dimension needed for the main show tank is its radius. Then the model radius will be 1/6 * 60 = 10 feet

The volume of a sphere is:

V = 4/3 * π * r³

For a quarter sphere it is:

V = 4/3 * π * r³ * 1/4

V = 1/3 * π * r³

For the smaller mock-up tank:

V = 1/3 * π * 10³

V = 1047.2 ft³

Answer:

Midpoint={5.5,1}

Step-by-step explanation:

M={x1+x2/2,y1+y2/2}

M={6+5/2,-2+4/2}

M={11/2,2/2}

M={5.5,1}

Answer:

Step-by-step explanation:

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