MATHEMATICS HIGH SCHOOL

8 + 2r = −10 what is r?

Answers

Answer 1

Answer:

Answer:

r = -9

Step-by-step explanation:

Subtract 8 from both sides to get 2r = -18. Divide by 2 on both sides to get r = -9.

Answer 2

Answer:

Answer:

r=-9

Step-by-step explanation:

Step 1:- Simplify both sides of the equation.

2r+8 = -10

Step 2:- For isolating the variable, subtract 8 from both sides.

2r+8-8 = -10-8

2r = -18

Step 3:- For isolating the variable, divide by 2 from both sides.

2r/2 =-18/2

r= -9

Hope this helps :)

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Which of the following shows the correct factorization of x3 - 5x2 - 14x?A. x(x + 7)(x + 2)

B. x(x - 7)(x - 2)

C. x(x + 7)(x - 2)

D. x(x - 7)(x + 2)

Answers

So, just a note of formatting, to indicate something is an exponent of something else, use the carat (^) sign
for instance
x^3 means x cubed. x3 means 3x.
Anyways, though, let's factor.
You can factor out an x from each variable.
x(x^2-5x-14)
Now, to factor this, think of what will add to -5, and multiply to -14.
-7 and 2 work.
So, this factors out to
x(x-7)(x+2)
Choice D is the correct factorization.

If f and t are both even functions, is f 1 t even? If f and t are both odd functions, is f 1 t odd? What if f is even and t is odd? Justify your answers.

Answers

If the $f(x)$ and $t(x)$ are even function then $fo\ t\ (x)$ is an even function, if $f(x)$ and $t(x)$ are odd function then the function $fo\ t\ (x)$ is an odd function and if $f(x)$ is even and $t(x)$ is odd then the function $fo\ t\ (x)$ is an even function.

Further explanation:

An even functrion satisfies the property as shown below:

$\boxed{f(-x)=f(x)}$

An odd functrion satisfies the property as shown below:

$\boxed{f(-x)=-f(x)}$

Consider the given composite function as follows:

$\boxed{fo\ t\ (x)=f\left(t(x))\right}$

If both the function $f(x)$ and $t(x)$ are even function.

$\begin{aligned}fo\ t\ (-x)&=f\left(t(-x))\right\n&=f\left(t(x))\right\n&=fo\ t\ (x)\end{aligned}$

From the above calculation it is concluded that,

$\boxed{fo\ t\ (-x)=fo\ t\ (x)}$

This implies that the composite function $fo\ t\ (x)$ is an even function.

If both the function $f(x)$ and $t(x)$ are odd function.

$\begin{aligned}fo\ t\ (-x)&=f\left(t(-x))\right\n&=f\left(-t(x))\right\n&=-fo\ t\ (x)\end{aligned}$

From the above calculation it is concluded that,

$\boxed{fo\ t\ (-x)=-fo\ t\ (x)}$

This implies that the composite function $fo\ t\ (x)$ is an odd function.

If the function $f(x)$ is even and $t(x)$ is odd.

$\begin{aligned}fo\ t\ (-x)&=f\left(t(-x))\right\n&=f\left(-t(x))\right\n&=fo\ t\ (x)\end{aligned}$

From the above calculation it is concluded that,

$\boxed{fo\ t\ (-x)=fo\ t\ (x)}$

This implies that the composite function $fo\ t\ (x)$ is an even function.

The number that rode in columns was 3 2/3 times the number that rode in rows. If 2200 rode in columns, how many rode in rows?

Answers

Answer:

600

Step-by-step explanation:

Given parameters:

Number that rode in columns = $3(2)/(3)$ times the number that rode in rows.

2200 rode in columns

Unknown:

Number of people that rode in rows = ?

Solution:

Let the number of people that rode in columns = C

Let the number of people that rode in rows = R

C = $(11)/(3)$ R

Number of people that rode in rows = 2200;

2200 = $(11)/(3)$ R

11R = 2200 x 3

R = $(2200 x 3)/(11)$

R = 200 x 3

R = 600

Number of people that rode in rows = 600

Does anyone know the answer to this. m =1, (-4, -6)

Answers

Hello,

y+6=(x+4)==>y=x-2
================

write an equation of a line with the given slope and y-intercept. m = –2, b = 4 a. y = –2x 4 b. y equals negative one half x plus 4 c. y = 4x – 2 d. y = –2x – 4

Answers

One of the many ways of writing the equations of lines is the slope - intercept form. This is generally expressed as,
y = mx + b
where m is the slope and b is the y-intercept.
Substituting the known values of m and b to the equation above,
y = -2x + 4

Thus, the answer is letter A.

Answer: (A) y = -2x + 4

Step-by-step explanation:

3. Polygon ABCDE is congruent to polygon TVSRK. EAB corresponds to _____.