11 POINTS
why does drilling a hole in the block add and subtract surface area from the solid? 1

Given:

Consider the given polynomials are:

[tex]f(x)=7x^3+x^2-4x+10[/tex]

[tex]g(x)=x^2-5[/tex]

To find:

The polynomial function rule for [tex]g(x)+f(x)[/tex].

Solution:

We need to add both functions to get [tex]g(x)+f(x)[/tex].

[tex]g(x)+f(x)=(x^2-5)+(7x^3+x^2-4x+10)[/tex]

[tex]g(x)+f(x)=x^2-5+7x^3+x^2-4x+10[/tex]

On combining like terms, we get

[tex]g(x)+f(x)=7x^3+(x^2+x^2)-4x+(10-5)[/tex]

[tex]g(x)+f(x)=7x^3+2x^2-4x+5[/tex]

Therefore, the required function is [tex]g(x)+f(x)=7x^3+2x^2-4x+5[/tex].

Answer:

abc

Step-by-step explanation:

abc

Answer:

B

Step-by-step explanation:

A P E X

Answer:

t = 4b + 10c

Step-by-step explanation:

t = total of doughnuts

b = bags of doughnuts which hold 4 each

c = cartons of doughnuts which hold 10  each

Okay so multiple 17 times 8 and 16 times 33 and then add the answers together and you should get 664!

Step-by-step explanation:

here's your solution

=> Firstly divide above picture in two parts

=> 1st = traingle

=> 2nd = trapezium

=> area of traingle = 1/2*base*height

=> height = 8

=> we need to find out base by using Pythagoras formula

=> base^2 = 17^2 - 8^2

=> base^2 = 289 - 64 = 225

=> base = √225

=> base of traingle = 15

=> now, area of traingle = 1/2*15*8

=>60sq.units

=> area of trapezium = 1/2(sum of p. sides ) *

distance between them

=> area = 1/2*(33 + 15)*16

=> area = 1/2*16*48

=> area = 384sq.units

=> area of whole figure = 384 + 60

= 444 sq.units

Answer:

w = 4.

Step-by-step explanation:

-2/5 w+11 2/5=9 4/5

-2/5w + 57/5 = 49/5

Remove the fractions by multiplying thru by 5:

-2w + 57 = 49

-2w = 49 - 57

-2w = -8

w = 4.

Answer:

w=  -8/5

Step-by-step explanation:

Answer:

320 x 0.08 = X

In the case, a payment equal to or greater than $ 25.60 would be considered acceptable by the company.

Step-by-step explanation:

Given that a major credit card company requires monthly payments equal to or greater than 8% of the total balance, and a consumer has a credit card balance of $ 320, the following calculations must be performed to determine an inequality that represents acceptable payment amounts:

320 x 0.08 = X

25.6 = X

Thus, in the case, a payment equal to or greater than $ 25.60 would be considered acceptable by the company.

Answer:

Since you are subtracting a negative, you must add instead. -1+8 = 7.

Answer:

7

Step-by-step explanation:

-1--8 or -1+8

-1+8

7

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Answer:

i. 1.63 s

ii. The negative time cannot be used in this context

Step-by-step explanation:

i. Since  h = −640t² and the rocket descends 1,690 m, h = -1,690 m (since there is a drop in height).

So,  h = -640t²

t² = h/-640

t = √(- h/640)

Substituting h into the equation, we have

t = √(- h/640)

t = √[-(-1,690)/640]

t = √2.640625

t = 1.625

t ≈ 1.63 s

ii. So, the negative time cannot be used in this context because, the height drop is negative.

Answer:

4 times

Step-by-step explanation:

Given that :

Cups of liquid required = 2 2/3

Fraction of liquid cup added per 10 minutes = 2/3

The number of times 2/3 cups of liquid is added :

Total cups of liquid required / amount of liquid added at a time

2 2/3 ÷ 2/3

8/3 ÷ 2/3

8/3 * 3/2

24 / 6

= 4 times

Given:

The graph of a parabola.

To find:

The equation for the parabola.

Solution:

The vertex form of a parabola is:

[tex]y=a(x-h)^2+k[/tex]       ...(i)

Where, a is a constant and (h,k) is the vertex.

From the given graph it is clear that the vertex of the parabola is at point (-1,6). So, h=-1 and k=6.

Putting h=-1 and k=6 in (i), we get

[tex]y=a(x-(-1))^2+(6)[/tex]

[tex]y=a(x+1)^2+6[/tex]         ...(ii)

The y-intercept of the graph is at point (0,3). Putting x=0 and y=3 in (ii), we get

[tex]3=a(0+1)^2+6[/tex]

[tex]3-6=a[/tex]

[tex]-3=a[/tex]

Putting a=-3 in (ii), we get

[tex]y=-3(x+1)^2+6[/tex]

Therefore, the equation of the parabola is [tex]y=-3(x+1)^2+6[/tex].

Answer:

20

Step-by-step explanation:

To solve this problem use proportions. The tree's proportion is equal to [tex]\frac{30}{40}[/tex] and the shed's proportion is [tex]\frac{15}{x}[/tex]. These proportions are made by putting the height of the object over the length of the shadow. Then, cross multiply to find x. Do this by multiplying [tex]30 *x[/tex] and [tex]40*15[/tex]. Next set these equal to each other, [tex]30x=600[/tex]. Finally, divide both sides by 30 to find x. This equals 20 feet.

Answer:

Step-by-step explanation:

lets replace x with 2

2(2^2)+3(2)=2*4+6=8+6=14

Answer:

[tex] a = 6 \\ b = 1 \\ c = - 6[/tex]

Step-by-step explanation:

[tex]6x^{2} + x - 6 = 0 \\ equating \: it \: with \\ a {x}^{2} + bx + c = 0 \\ a = 6 \\ b = 1 \\ c = - 6[/tex]

Answer:

ooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo

Step-by-step explanation:

Answer: -37/38

Step-by-step explanation:

Answer:

I am also still waiting for the answer, if you do find it PLEASE let me know!

Step-by-step explanation:

Number one: Just plot down on the number like the numbers you have. Just took the test for this.

Answer:

No, it is not a right triangle.

Step-by-step explanation:

First lets define a right triangle.  A right triangle is a triangle with one side that equals 90 degrees.  When we look at 13, 64, and 86, we can see there are no sides that equal 90 degrees.

Step-by-step explanation:

[tex] - {3}^{2} m {n}^{5} m {n}^{2} {m}^{6} = \\ = - 9 {m}^{8} {n}^{7} [/tex]

Answer:

Width = 1/2h

Area = 1/4h²

Step-by-step explanation:

This is quite a vague question from you. Being asked to find the width and area of a particular shape, without being given dimensions.

However, I would try to solve it nonetheless.

From your question, you stated that the width of the rug is half its height, if so, then,

w = 1/2h

Again, you're being asked to find the area. Area of a kite is given as

Area = 1/2 * Width * Height and as such, we have

Area = 1/2 * 1/2h * h

Area = 1/4 * h²

All that you need to do now is substitute the value of h

Answer:

Functions: Second Graph

Not functions: first and third graph

Step-by-step explanation:

The first and third graph are not functions and the second graph is a function. Use the vertical line test. I'm 100% sure.

By the vertical line test, it's clear that graph first will not be a function, second will be a function and third will also not be a function.

A vertical line test is a test to determine whether a given function is a function or not.

In the vertical line test, we draw a vertical line on every x's point if the line intersects with only a single value of corresponding y then it will be a function otherwise not.

In the first given function if we draw a vertical line at x = 2 then it gave different values corresponding to y hence,  it will not a graph.

In the second given function by drawing a vertical line, it gave a single unique value so it will be a function.

In the third given function if we draw a vertical line at x = 1 and 2 then it gives different values corresponding to y hence,  it will not be a graph.

For more about vertical line tests

https://brainly.com/question/4187768

#SPJ5

Answer:

[tex]c. \: 5x - 2y = 10 \\ \: \: \: \: \: 10x - 4y = 20 \\ [/tex]

Answer:

36 unit cubed

Step-by-step explanation:

V = b * h * l

V = 6 * 3 * 2

V = 36

Answer:

square

Step-by-step explanation:

why is this labeled high school this is so simple

Answer:

I wish I could help  but i did not learn this  yet

Step-by-step explanation:

Answer:

3n or -3n([tex]3n^{4}[/tex]-1)

Step-by-step explanation:

i hope its correct!!!

^^

Answer: 3n(-3n^3 + 1)

Step-by-step explanation: