what is the standard form equation of the line shown below?
y + 1 = 1/2(x + 3)
y=1/2x+5/2
-x + 2y = 1
x-2y = -1

Answer:

4/q÷2/3.

4/q×3/2.

=6/q.

Answer:

4/q ÷ 2/3

This can also be said as

4/q × 3/2 = 0

=  12/2q = 0

= 12 = 2q

= q = 12/2 = 6

Step-by-step explanation:

The derivative of sin x with respect to x is cos x.

d/dx (sin x) = cos x

Answer:cos x

Step-by-step explanation:

Answer:

a = -1 and

b = 10

Step-by-step explanation:

Given:

h(x) = (x – 1)³ + 10

h(x) = (g compose f)(x).

f(x) = x + a and

g(x) = x³ + b

To find:

The values of a and b = ?

Solution:

First of all, let us have a look at the composite functions.

(g compose f)(x) means we replace the value of [tex]x[/tex] with [tex]f(x)[/tex] in the function [tex]g(x)[/tex].

We know that:

[tex]g(x) =x^3+b[/tex] and

[tex]f(x) = x + a[/tex]

Let us find (g compose f)(x) by replacing [tex]x[/tex] with [tex]x+a[/tex]

[tex](g\ compose\ f)(x) = (x+a)^3+b[/tex]

Also, h(x) = (g compose f)(x) = (x – 1)³ + 10

Therefore,

[tex](x - 1)^3 + 10 = (x+a)^3+b[/tex]

Comparing the corresponding elements of the above expressions:

we get a = -1 and

b = 10

Answer:

a: -1

b: 10

edge 2020

Answer:

It would be B. Fuction 1 has the larger maximum at (4,1)  because the maximum point for Fuction 1 is at (4,1) becuase that the highest point/vertex it goes.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]7+4y=39\\\\\mathrm{Subtract\:}7\mathrm{\:from\:both\:sides}\\7+4y-7=39-7\\\\\mathrm{Simplify}\\4y=32\\\\\mathrm{Divide\:both\:sides\:by\:}4\\\frac{4y}{4}=\frac{32}{4}\\\\Simplify\\y =8[/tex]

Answer:

y = 8

Step-by-step explanation:

7 + 4y = 39

Rearrange:

4y + 7 = 39

Subtract 7 from both sides:

4y + 7 = 39

     - 7     -7

4y = 32

Divide both sides by 4:

4/4 = y

32/4 = 8

y = 8

Answer:

  -13

Step-by-step explanation:

As per the order of operations, you do the parentheses first. g(5) is inside the parentheses of f(g(5)).

  g(5) = -3(5) +5 = -10

Then ...

  f(g(5)) = f(-10) = 2(-10) +7

  f(g(5)) = -13

Answer:

1/2 of the dots

Step-by-step explanation:

The number of dots in a 5 by 8 array is 5*8 = 40 dots

The number of dots in the t is 20

faction = part/ whole

20/40 = 1/2

its  1/2

8x5=40

40/20=1/2

Answer:

1/56

Step-by-step explanation:

7

8

−

6

7

=

1

56

(Decimal: 0.017857)

Answer: 0.01785714285 is what it is in decimal form AND

1/56 in fraction form.

Step-by-step explanation:

So we are given 7/8 - 6/7.

WE have to find what it is:

0.01785714285 is what it is in decimal form AND

1/56

Answer:

x= 24, <ABD = 55°

Step-by-step explanation:

The way I go to x=24 is in the picture, but to find <ABD is a piece of cake, just take its value (2x+7) and replace the x with 24 and then you will get 55°

Glad to help :)

Answer:

a+b+c=180

Step-by-step explanation:

If you already have the first 2 values, add them together and subtract that number from 180. The total of all angles added together should always equal 180.

Answer:

a+b+c= 180

Step-by-step explanation:

Answer:

1x+46 is the answer

Step-by-step explanation:

=4(-8x + 5) – (-33x – 26)

opening brackets to simplify

=-32x+20+33x+26

=-32x+33x+20+26

=1x+46 is the answer

hope it will help :)

Answer:

x+46

Step-by-step explanation:

4(-8x + 5) – (-33x – 26) ​

The first step is to distribute and simplify.

4 distributed to -8x will be -32x, and same thing goes with 5, which is 20.

-

The first part of the equation is -32x+20

Now, this is where it gets confusing.

If there is a sign before a pair of parentheses, you always put 1. In this case, it's -1 distributed to -33x and -26.

So, the second part of the expression will be +33x+26

The whole expression is

-32x + 20 + 33x + 26

add like terms, -32x+33x= x.

20+26=46.

The answer is x+46.

Answer:

x=-2,2

Step-by-step explanation:

Since this is a quadratic equation, -2 or 2 could be the possible answer

Steps

$3x^2=12$

$\mathrm{Divide\:both\:sides\:by\:}3$

$\frac{3x^2}{3}=\frac{12}{3}$

$\mathrm{Simplify}$

$x^2=4$

$\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}$

$x=\sqrt{4},\:x=-\sqrt{4}$

Show Steps

$\sqrt{4}=2$

Show Steps

$-\sqrt{4}=-2$

$x=2,\:x=-2$

Step-by-step explanation:

start from f(g(x))

f(g(x))= 3(g(x)) -2

f(g(x))= 6x -2

h(f(g(x)))=(f(g(x)))² -5(f(g(x)))

h(f(g(x)))=(6x-2)² -5(6x-2)

h(f(g(x)))=36x²-24x+4-(30x-10)

h(f(g(x)))=36x²-24x+4-30x+10

h(f(g(x)))=36x²-54x+14

Answer:

4,414,000,000

Step-by-step explanation:

4.414x10^9, move the decimal place 9 places to the left.

Answer:

4,414,000,000

Step-by-step explanation:

4.414 x 10⁹

= 4.414 x 1,000,000,000

= 4,414,000,000

Answer:  8

Step-by-step explanation:

EQ1:   a + b + c = 2            -->       b + c = 2 - a

EQ2:  ab + bc + ac = -1     -->        b + c = (-1 - bc)/a

EQ3:  abc = -2                  -->           bc = -2/a

Set EQ1 = EQ2 and substitute bc using EQ3 to solve for "a":

[tex]2-a=\dfrac{-1-bc}{a}\\\\\\\text{Clear the denominator:}\\a(2-a)=-1-bc\\\\\text{Substitute bc:}\\a(2-a)=-1-\dfrac{-2}{a}\\\\\\\text{Clear the denominator:}\\a^2(2-a)=-a+2\\\\\\\text{Simplify and set equal to 0:}\\2a^2-a^3=-a+2\\0=a^3-2a^2-a+2\\\\\text{Factor:}\\0=a^2(a-2)-1(a-2)\\0=(a^2-1)(a-2)\\\\\text{Solve for a:}\\a^2-1=0\qquad a-2=0\\a=\pm1}\qquad \qquad a=2[/tex]

Consider the solution a = 2 and plug it into EQ1 to solve for "b"

b + c = 2 - 2

b + c = 0

b = -c

Plug in a = 2, b = -c, and c = c into a³ + b³ + c³

  2³ + (-c)³ + c³

= 8 - c³ + c³

= 8

Step-by-step explanation:

the answer is 42 because 2 times the 21 equals 42

Answer:

5 yards

Step-by-step explanation:

Answer:

the answer is 57.12

Step-by-step explanation:

so the area of the rectangle is 74.24, thats where you get the 8 x 9.28, which is important. so next we're going to go is 9.28-5 which equals 4.28, and that is what the total bottom of 2 triangles would be, (if you drew a rectangle around it). the you would divide 4.28 by 2 to get 2.14, which is the value of 1. next you do 2.14 x 4 and get 8.56. then divide 8.56 by 2 and get back to 4.28. you take 4.28 and multiply it by 4 to get 17.12. from there on you do, 74.24 - 17.12 and get 57.12.

Answer:

4(-1)

Step-by-step explanation:

Answer:

4(-1)

Step-by-step explanation:

Answer:

560

Step-by-step explanation:

        547      

14 | 7658

    -7000

       658

     - 560

          98

        - 98

            0

Answer:

She needs to get 8 bags of spoon and 1 bag of fork

Step-by-step explanation:

Here in this question, we want to know the least number of spoons and the least number of bags to be bought so that there are same number of each.

Basically, to calculate this, we need the lowest common multiple of 16 and 2. The lowest common multiple of both is 16 (2 is a factor of 16)

So the lowest number of each she can buy to have the same number of pieces is 16.

Kindly recall that spoons come in bags of 2. So to achieve the 16, she needs 8 bags.

Since fork comes in bag of 16, to achieve 16, she only need a single bag of fork.

Answer:

750 rupees is used to make shirt

250 rupees is profit

Step-by-step explanation:

If the retailer sold the shirt for 1000 rupees and got 25% profit then that means 1/4 is profit and 3/4 is how much the retailer spent to make the shirt.

So 1000 times 3/4 is 750 which is how much the shirt really cost and

1000 times 1/4 is 250 and that is the retailers profit.

Answer:

y = 4

Step-by-step explanation:

Given that y varies jointly with x and z then the equation relating them is

y = kxz ← k is the constant of variation

To find k use the condition y = 16 when x = 4 and z = [tex]\frac{1}{2}[/tex] , that is

16 = k × 4 × [tex]\frac{1}{2}[/tex] = 2k ( divide both sides by 2 )

8 = k

y = 8xz ← equation of variation

When x = 2 and z = [tex]\frac{1}{4}[/tex] , then

y = 8 × 2 × [tex]\frac{1}{4}[/tex] = 16 × [tex]\frac{1}{4}[/tex] = 4

The situation that is an example of an observational study is " Having customers fill out a questionnaire about their favourite brand of toothpaste".

When researchers monitor the effect of a risk factor, diagnostic test, therapy, or other intervention without attempting to influence who is or is not exposed to it in observational studies.

For example: Consider someone standing on a popular street in a New York neighbourhood asking passers-by how many dogs they have, then analyzing the data to see if more pet food businesses are needed in the area.

As we know that in an observational study, the sample whose test/survey is been taken is completely random.

Therefore, the situation that is an example of an observational study is " Having customers fill out a questionnaire about their favourite brand of toothpaste".

Learn more about Observational Study:

https://brainly.com/question/5001950

Answer: C

Step-by-step explanation: Collecting the blood pressure readings of a group of elderlyindividuals in a small town

Answer:

4/5=0.8

-1 1/2= -1.5

The greatest number is=1.3

Mia, Raj, Clara, Jacob

Answer:

4/5 is equal to 0.8

-11/2 is equal -1.5

The greatest number is 1.3

The students names Mia, Raj, Clara, Jacob

Step-by-step explanation:

I took the assignment. Hope this helps! :)

Answer: E. 2

Step-by-step explanation:

x²=9

x=±3 ⇔ since it is square (any value after square will always be positive), the value can be negative or positive.

There are 2 solutions: 3 and -3

Hope this helps!! :)

Answer:

22

Step-by-step explanation:

Add every other number and it equals the next in line.

2 + 5 = 7

3 + 7 = 10

5 + 10 = 15

7 + 15 = 22

And as proof of concept:

10 + 22 = 32

Answer:

22! Mark the other answer brainleist!

Step-by-step explanation:

2+5 = 7

3+7 = 10

7 + 15 = ?

15 + ? = 32

? must be 22!

Answer:

Step-by-step explanation:

I think it's B (GBF=ECF) but I could be wrong. I only took geometry last year but I think that's your best option... good luck!