Mathematics High School

Give your answer in simplest form.

Answers

Answer 1

Answer: -1

Step-by-step explanation:

[tex]\frac{\frac{4^3}{-12+4}}{6^2+(-30)+2}[/tex]

[tex]\frac{\frac{-4^3}{8}}{36-30+2}[/tex]

[tex]\frac{\frac{-4^3}{8} }{8}[/tex]

[tex]\frac{\frac{-2^6}{2^3}}{8}[/tex]

[tex]\frac{-2^3}{8}[/tex]

[tex]\frac{-8}{8} = -1[/tex]

Related Questions

Please answer !!!!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Since it is a right angle you would subtract 57 from 90 because both angles added together are 90°. 90-57= 33°

How many solutions does the equation 5x + 3x − 4 = 10 have?

a
Zero

b
One

c
Two

d
Infinitely many

Answers

Answer:

1.75

Step-by-step explanation:

5x + 3x - 4 = 10

Add Four To Both Sides To Begin Simplifying.

5x + 3x = 14

Now, Combine Like Terms.

8x = 14

Divide:

8x/8 = 1X = X

14/8

X = 14/8

14/8 = 1.75

X = 1.75

Check:

(5 * 1.75) + (3*1.75) - 4 = 10

8.75 + 5.25 - 4 = 10

14 - 4 = 10

10 = 10. This Is True, So X Does Equal 1.75

Answer:

The answer should be B; one answer

Step-by-step explanation:

After solving this equation, I came up with the answer 0.75, therefore there is only one answer.

If this function is differentials at x=1/2, what is a+b?

Answers

Answer: D) 28

===============================================

Work Shown:

Let

g(x) = ax^3 + 2

h(x) = bx^2 + 1

Plug x = 1/2 into each function

g(x) = ax^3 + 2

g(1/2) = a(1/2)^3 + 2

g(1/2) = (1/8)a + 2

and

h(x) = bx^2 + 1

h(1/2) = b(1/2)^2 + 1

h(1/2) = (1/4)b + 1

In order for f(x) to be differentiable at x = 1/2, the function f(x) must be continuous at x = 1/2. If we had a jump discontinuity here, then there is no way the function is differentiable here.

f(x) is continuous at x = 1/2 when g(1/2) = h(1/2).

This means,

g(1/2) = h(1/2)

(1/8)a + 2 = (1/4)b + 1

8*[(1/8)a + 2] = 8*[(1/4)b + 1]

a+16 = 2b+8

a = 2b+8-16

a = 2b-8

We'll keep this in mind for later.

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

Now let's compute the derivatives

g(x) = ax^3 + 2

g ' (x) = 3ax^2

h(x) = bx^2 + 1

h ' (x) = 2bx

Now plug in x = 1/2

g ' (x) = 3ax^2

g ' (1/2) = 3a(1/2)^2

g ' (1/2) = (3/4)a

and

h ' (x) = 2bx

h ' (1/2) = 2b(1/2)

h ' (1/2) = b

Equate the two items. We do so because we want f(x) to be differentiable at x = 1/2, so that means g ' (1/2) = h ' (1/2)

So,

g ' (1/2) = h ' (1/2)

(3/4)a = b

3a = 4b

a = (4b)/3

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

Earlier we found a = 2b-8.

Since both a = 2b-8 and a = (4b)/3, this means we can equate the right hand sides to solve for b

2b-8 = (4b)/3

3*(2b-8) = 3*(4b)/3

6b-24 = 4b

6b-4b = 24

2b = 24

b = 24/2

b = 12

Which leads to

a = 4b/3

a = 4*12/3

a = 48/3

a = 16

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

The piecewise function

[tex]f(x) = \begin{cases}ax^3+2, \ \ x < \frac{1}{2}\\bx^2+1, \ \ x \ge \frac{1}{2}\end{cases}[/tex]

will update to

[tex]f(x) = \begin{cases}16x^3+2, \ \ x < \frac{1}{2}\\12x^2+1, \ \ x \ge \frac{1}{2}\end{cases}[/tex]

To verify f(x) is differentiable at x = 1/2, you should check to see if both pieces evaluate to the same output when you plug in x = 1/2. In other words, you should check to see if g(1/2) = h(1/2).

Also, you should check to see if g ' (1/2) = h ' (1/2) so that f(x) is fully differentiable here. I'll let you do the check portions.

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

After getting our a and b values, we can finally say that

a+b = 16+12 = 28

identify the equation in the point-slope form the line parallel to y=3/4x-4 that passes through (-1,7)

Answers

y = 3/4x -4
The slope is 3/4 since it is written in the form y =mx+b where m is the slope
We want a line that is parallel so it will have the same slope
We know the slope of the new line (3/4) and a point (-1,7)
So we can use the point slope form of the equation
y-y1 = m(x-x1)
y-7 = 3/4(x--1)
y-7=3/4(x+1)

There are 8 big fish for every
small fish.
There are 4 big fish for every
small fish.

Answers

So what’s the question-

7/2x + 1/2x = 2 1/2 + 9/2x
solve.

Answers

Answer:

x = -121

Step-by-step explanation:

(7/2)*x+(1/2)*x = (9/2)*x+121/2 // - (9/2)*x+121/2

(7/2)*x+(1/2)*x-((9/2)*x)-(121/2) = 0

(7/2)*x+(1/2)*x+(-9/2)*x-121/2 = 0

-1/2*x-121/2 = 0 // + 121/2

-1/2*x = 121/2 // : -1/2

x = 121/2/(-1/2)

x = -121

Yo can someone help me out

Answers

Answer:

The answer is 1/20

Step-by-step explanation:

Answer: 1/20 in fraction form. 0.05 in decimal form.

Step-by-step explanation:

1/5 ÷ 4 = 1/20 in fraction form. 1/5 ÷ 4 = 0.05 in decimal form.

Help me on this please

Answers

Answer:

i think your right

Step-by-step explanation:

Betsy participates in a scavenger hunt that requires her to retrieve items from 4 locations. The locations are on a map with the coordinates as given:

Location 1 is at (−4, −1).

Location 2 is at (−4, 4).

Location 3 is at (3, 4).

Location 4 is at (3, −1).

The paths from one location to another are straight lines. One unit on the coordinate grid equals 10 yd. Betsy starts at location 1 and goes to location 2, then location 3, and then location 4, and then returns back to location 1.

What is the total distance Betsy has traveled?

Answers

Answer:

240 yd

Step-by-step explanation:

Let A, B, C, and D represent location 1, location 2, location 3, and location 4 respectively.

Consider the figure in the attached file.

We need to find the total distance traveled by Betsy.

The distance covered by Betsy is

length of segment AB length of segment BC length of segment CD length of segment DA.

To find the distance AB, we need to find the distance from A to B on y-axis.

So, length of segment AB units

To find the distance BC, we need to find the distance from B to C on x-axis.

So, length of segment BC units

To find the distance CD, we need to find the distance from C to D on y-axis.

So, length of segment CD units

To find the distance DA, we need to find the distance from D to A on x-axis.

So, length of segment DA units

Hence, the total distance covered is units

It is given that 1 unit equals 10 yd, so distance traveled by Besty is yd

For football tryouts at a local school, 16 coaches and 44 players split into groups. Each group will have the same numbers of coaches and players. How many players will be in each group?

Answers

Answer:

11 players

Step-by-step explanation:

In a football tryouts at a local school there are 16 coaches and 44 players

Therefore spilliting then into group with similar numbers can be illustrated as follows

= 16/4

= 4 coaches each

= 44/4

Answer:

Answer:

GCF= 2 x 5 x 11 = 110

LCM= 2 x 2 x 5 x 11 = 220

Step-by-step explanation:

don leaves home 2pm. he drives 45 miles from home in the first hour

Answers

Answer:

if he leave at 2pm 45 miles in the first hr is the correct answer 3 pm

Remember y = mx + b where m = the slope and b = the y-intercept.

Slope = 3

Y-intercept = -4

hello!

===========================================================

This equation is written in slope-intercept form, which looks like so:-

[tex]\bigstar{\boxed{y=mx+b}[/tex]

where

m is the slope

b is the y-intercept

Now, what is the slope?

Hint:- The slope is the coefficient of x, and the y-intercept is the constant.

That's right! The slope is 3, and the y-intercept is -4.

=========================================================

note:-

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)

What is the slope of the line that passes through the points (5,-4) and (7,-4)? write your answer in simplest form

Answers

Answer:

Step-by-step explanation:

Because there are two negatives of the same number, we can instantly know that this would be 0.

Answer: 0

on this one it can’t be undefined so put 0 and you will get it correct

Plzz help!!

Are the two triangles below similar?
(6 points)

1) No, because the corresponding sides are not proportional

2) Yes, because the corresponding sides are proportional

3) No, because there are not two pairs of congruent corresponding angles

4) Yes, because there are two pairs of congruent corresponding angles

Answers

Answer:

Step-by-step explanation:

Yes plzz give me brainliest

It is B your welcome !!!

Mara and alex are running laps around a track. Alex completes a lap every 45 secs and Mara every 36. If they starts at the same time, how long will it be until they cross the start line together? Plz its for homework that is due TOMORROW...

Answers

Answer:

180

Step-by-step explanation:

Keep multiplying 45 until you get a number divisible by 36. This is called the least common multiple.

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