how do you subract polynominals plz explain

We can rewrite this in the form of h (t):

at t = 1, h = 6

at t = 4, h = -3

The linear equation is in the form of:

h = mt + b

where m is the slope and b is the h-intercept

So calculating for the slope m:

m = [-3 – 6] / (4 – 1)

m = (-9) / 3

m = -3

So,

h = -3t + b

Solving for b by plugging in any pair:

6 = -3(1) + b

b = 9

Therefore:

h = -3t + 9

Answer: Option 'D' is correct.

Step-by-step explanation:

Since we have given that

[tex]\dfrac{1}{5}(25-5a)=4-a[/tex]

We need to find the value of 'a'.

First we simplify the brackets :

[tex]\dfrac{1}{5}(25-5a)=4-a\\\\25-5a=5(4-a)\\\\25-5a=20-5a\\\\25-20=-5a+5a\\\\5=0[/tex]

which is wrong.

Hence, there is no solution.

Therefore, Option 'D' is correct.

We are concern about the vector (x-x0, y-y0, z-z0) equaling to 5.

This happens when √(x-x0)^2 + (y-y0)^2 + (z-z0)^2 = 5

Square both side:

(x-x0)^2 + (y-y0)^2 + (z-z0)^2 = 25 , a sphere

Which you will recognize as a circle of radius one centered at (x0, y0, z0)

Answer:

Point [tex]\left ( x,y,z\right )[/tex] represents a sphere

Step-by-step explanation:

Take [tex]r=\left ( x,y,z \right )\,,\,r_0=\left ( x_0,y_0,z_0 \right )[/tex]

We need to describe the set of all points (x, y, z) such that [tex]\left | r-r_0 \right |=5[/tex]

Solution :

For [tex]r-r_0=\left ( x,y,z \right )-\left ( x_0,y_0,z_0 \right )[/tex], we will subtract the respective elements .

[tex]r-r_0=\left ( x,y,z \right )-\left ( x_0,y_0,z_0 \right )=\left ( x-x_0,y-y_0,z-z_0 \right )[/tex]

Therefore, [tex]\left | r-r_0 \right |=\sqrt{(x-x_0)^2+(y-y_0)^2+(z-z_0)^2}[/tex]

As [tex]\left | r-r_0 \right |=5[/tex], we get

[tex]\sqrt{(x-x_0)^2+(y-y_0)^2+(z-z_0)^2}=5[/tex]

On squaring both sides, we get

[tex]\left ( \sqrt{(x-x_0)^2+(y-y_0)^2+(z-z_0)^2} \right )^2=5^2\\(x-x_0)^2+(y-y_0)^2+(z-z_0)^2=25[/tex]

The general equation of a sphere is (x - a)² + (y - b)² + (z - c)² = r², where (a, b, c) denotes the center of the sphere and r represents the radius .

So, [tex](x-x_0)^2+(y-y_0)^2+(z-z_0)^2=25[/tex] represents a sphere with center as [tex]\left ( x_0,y_0,z_0 \right )[/tex] and radius equal to 5 units

Answer:

(x3)2 – 32

Step-by-step explanation:

The 2-dose HPV9 vaccine series is appropriate for individuals between the ages of 9 and 14, according to the CDC.

The 2-dose HPV9 vaccine series is appropriate for individuals between the ages of 9 and 14 years old, according to the Centers for Disease Control and Prevention (CDC).

It is recommended to receive the first dose at the age of 11 or 12, and the second dose 6 to 12 months after the first dose.

If the vaccine series is started after the age of 14, three doses are required for full protection.

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Mercury takes approximately 1407.5 hours to complete a full rotation, calculated by converting 58 days, 15 hours, and 30 minutes entirely into hours.

To calculate how many hours it takes for Mercury to complete a full rotation, we need to convert the given time of approximately 58 days, 15 hours, and 30 minutes into hours. Here are the step-by-step calculations:

Therefore, it takes Mercury approximately 1407.5 hours to complete a full rotation.

Answer:

positive

Step-by-step explanation:

The slope is the inclination of the line with respect to the x-axis.  It is denoted by the letter [tex]m[/tex]. In mathematical language, the slope [tex]m[/tex] of the line is defined as the difference on the y-axis divided by the difference on the x-axis for two different points [tex]P_1(x_1,y_1)[/tex] and [tex]P_2(x_2,y_2)[/tex] on the line:

[tex]m=\frac{\Delta y}{\Delta x} =\frac{y_2-y_1}{x_2-x_1}[/tex]

If:

Since the graph of the linear function shown is increasing from left to right, we can conclude that the slope is positive.

the sum of x and 7 would be x+7

 then to get half of that you would divide by 2

 so equation is (x+7)/2

y=-2/11x-5/11 is the required slope intercept form

Slope is -2/11

y intercept is -5/11

The given equation is -2x-11y=5, We need to find the slope intercept equation, slope and y intercept.

y=mx+c

m is the slope of the line

c is the y intercept of line

The given equation is -2x-11y=5

We need to separate the y variable to find the slope intercept form

-11y=5+2x

To convert the above equation to slope intercept form, we need to divide both sides by -11.

y=-5/11-2/11x

Therefore y=-2/11x-5/11 is the required slope intercept form for -2x - 11y = 5

Slope is -2/11

y intercept is -5/11

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3 & 5 are the interior angles

 Answer is D

Answer:

The total cost C (in dollars) to participate in a ski club is given by the literal equation :

[tex]C=85x+60[/tex]

Where x is the number of ski trips you take.

1. When C = 315 ;substituting the value of C in the above equation.

[tex]315=85x+60[/tex]

=> [tex]85x=315-60[/tex]

=> [tex]85x=255[/tex]

x = 3 trips.

2. When C = 485

[tex]485=85x+60[/tex]

=> [tex]85x=485-60[/tex]

=> [tex]85x=425[/tex]

x = 5 trips.

Answer:

90608.6

Step-by-step explanation:

Round 90608.5881594 to 1 decimal place

To round the answer to 1 decimal place , we round the answer to nearest tenth.

In the given number , 5 after decimal point is in tenths place

8 is in hundredths place

Here 8 in hundredths place is greater than 5. If it is greater than 5 then we add 1 in tenths place

So 5 in tenths place becomes 6

90608.5881594 to 1 decimal place is 90608.6

Answer:  The required simplified answer is 1950.

Step-by-step explanation:  We are given to simplify the following algebraic expression :

[tex]E=14+4(12-34)^2~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]

To simplify the given expression, first we evaluate the square term, multiply it by 4 and add the result to 14.

From expression (i), we get

[tex]E\\\\=14+4(12-34)^2\\\\=14+4(-22)^2\\\\=14+4\times484\\\\=14+1936\\\\=1950.[/tex]

Thus, the required simplified answer is 1950.

divide both 6 & 8 by 2 6/2 = 3

8/2 = 4

so 6/8  = 3/4

 there is 3 pieces