Which mathematical concepts did Euler's legacy include? Check all that apply.

the notation for the imaginary unit
the idea of a functional relationship
the formalization of function notation
the definition of a circle's circumference
the notation for the base of the natural logarithm

Answer:

8x + 12y + 15z

Step-by-step explanation:

Given the sales rate of three items: 8$ for t-shirts, 12$ for sweaters, and 15$ for jeans. It also states that these rates are represented by the corresponding variables being x for t-shirts, y for sweaters, and z for jeans.

To complete the expression, just combine the rate with the corresponding variables. i.e 8$ for t-shirts, and x for shirts = 8x, 12$ for sweaters and y for sweaters = 12y, 15$ for jeans, and z for jeans = 15z. Finally, sum them together.

8x + 12y + 15z

Answer:

A

Step-by-step explanation:

Here, we want to select which of the options is greater than Ryan’s decimal but less than Sarah’s

Ryan shades 70 out of 100 so his decimal will be 70/100 = 0.7

Sarah shades 80 out of 100, so his decimal will be 80/100 = 0.8

So we want a decimal greater than Ryan’s but less than Sarah’s

Let’s take a look at the options

The first option would be 70/100 = 0.7 + 4/100 = 0.7 + 0.04 = 0.74

We can see that this is greater than 0.7 but less than 0.8

So, this is our answer

=-09i8u9yh8guvyh bcnvjhulygtfrdsezawDFxcghjiuhygtfyhvbjkliouyggvbjhkio;uytfrderswaqwszedrtfyguhiiio

Answer:

y = -3x - 7

Step-by-step explanation:

To find the slope of this perpendicular line, you'll have to keep in mind that a perpendicular line will have an opposite reciprocal of the slope of the line you are given. Here's what I mean:

Given Line: y = 1/3x - 3

Slope of Perpendicular Line: m = -3/1 = -3

Now, you'll have to find the y-intercept. But, to make sure your line passes through the given points, (-1, -4), you'll have to plug in the x and y values:

y = mx + b

-4 = (-3) (-1) + b

-4 = 3 + b

b = -7

Now just plug in your y-intercept and slope into the slope-intercept formula:

y = -3x - 7

Answer:

2.6

Step-by-step explanation:

Step-by-step explanation:

distance between the two points is given by formula

d=

[tex] \sqrt{ {(x1 - x2)}^{2} + {(y1 - y2)}^{2} } = \sqrt{( - 2 - 4)^{2} + {( - 3 - 0)}^{2} } = \sqrt{( - 6)^{2} + ( - 3)^{2} } = \sqrt{36 + 9} = \sqrt{45} = \sqrt{9 \times 5} = 3 \sqrt{5} [/tex]

Answer:

c. y = 4x + 5

Step-by-step explanation:

you are paying a one time fee of $5 to get in and $4per x number of pounds.

Answer:

B

Step-by-step explanation:

Firstly you pay 4 dollars to enter BH

If x is the number of pounds of blueberries, then the amount spent is going to be 5x as each pound is 5 dollars. Then you add the costs together, so it would be 5x+4 which is B

Answer

9

Step-by-step explanation:

Divide 63 by 9 months

7 students per month

63 / 9 = 7

Answer:

(x-2)(x+3)(x+6)

Step-by-step explanation:

Given the polynomial function p(x)=x^3+7x^2-36

We are to write it as a product of its linear factor

Assuming the value of x that will make the polynomial p(x) to be zero

Let x = 2

P(2) = 2³+7(2)²-36

P(2) = 8+7(4)-36

P(2) = 8+28-36

P(2) = 0

Since p(2) = 0 hence x-2 is one of the linear factors

Also assume x = -3

P(-3) = (-3)³+7(-3)²-36

P(-3) = -27+7(9)-36

P(-3) = -27+63-36

P(-3) = 36-36

P(-3) = 0

Since p(-3) = 0, hence x+3 is also a factor

The two linear pair are (x-2)(x+3)

(x-2)(x+3) = x²+3x-2x-6

(x-2)(x+3) = x²+x-6

To get the third linear function, we will divide x^3+7x^2-36 by x²+x-6 as shown in the attachment.

x^3+7x^2-36/x²+x-6 = x+6

Hence the third linear factor is x+6

x^3+7x^2-36 = (x-2)(x+3)(x+6)

Answer:

x^3 + 7x^2 -36 = (x + 3)(x-2)(x + 6)

Step-by-step explanation:

Here we want to rewrite the polynomial

P(x) = x^3 + 7x^2 - 36

As a product of linear factors given that we have one of the roots already as (x + 3)

What we shall do here is to divide the polynomial by x + 3

Please check attachment for long polynomial division

From the division, the other factor is x^2 + 4x -12

So we can rewrite the polynomial as;

x^3 + 7x^2 -36 = (x + 3)(x^2 + 4x -12)

So let’s now write x^2 + 4x -12 as a product of its linear factors

x^2 + 4x -12 = x^2 + 6x -2x -12

= x(x + 6)-2(x + 6)

so we have;

(x -2)(x + 6)

Therefore;

x^3 + 7x^2 -36 = (x + 3)(x-2)(x + 6)

Answer:

Point H does lie on the graph y = 4.6x - 7

Step-by-step explanation:

Step 1: Define

y = 4.6x - 7

H(0, -7)

Step 2: Substitute, Evaluate, and Check

-7 = 4.6(0) - 7

-7 = 0 - 7

-7 = -7

Answer:

H(0,-7) does lie on the graph of line y = 4.6x - 7

Step-by-step explanation:

All you have to do is simply plug in the x and y values.

From the point H (0,-7) we can say that

x = 0

y = -7

Now just plug it into the equation.

y = 4.6x - 7

(-7) = 4.6(0) - 7

-7 = -7

Since -7 does equal -7, the point H is on the line of y = 4.6x - 7.

Answer

y=3   x=1

Step-by-step explanation:

3(x+3)=12

3x+9=12

subtract 9 from both sides to get...

3x=3

divide 3 from both sides to get...

x=1

Step-by-step explanation:

this is very easy

2y=6

y=2/6=3

so ,

3(x+y)=12

3x+3y=12

3x+3+3=12

3x+9=12

3x=12-9

3x=3

x=3/3

x=1

Answer:

f(3) =3(2)+2

Step-by-step explanation:

Therefore, x = 2

[tex] \green {\boxed{Answer}}[/tex]

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Answer:

-5

Step-by-step explanation:

i tried my best but this is the result

Answer:

When you input values for x, you can determine a single output for y. ... f(x)= 4x + 1 is written in function notation and is read “f of x equals 4x plus 1. ... perimeter, P = 4s, as the function p(x) = 4x, and the formula for area, A = x2, as a(x) = x2. ... in both cases, you substitute 2 for x, multiply it by 4 and add 1, simplifying to get 9

Step-by-step explanation:

got it off of google

Answer:

x = -19

Step-by-step explanation:

hope this help :)

Answer:

[tex]\boxed {x = -19}[/tex]

Step-by-step explanation:

Solve for the value of [tex]x[/tex]:

[tex]-4(x + 1) - 3 = -3(x - 4)[/tex]

-Use Distributive Property to both sides of the equation:

[tex]-4(x + 1) - 3 = -3(x - 4)[/tex]

[tex]-4x - 4 - 3 = -3x + 12[/tex]

-Combine like terms:

[tex]-4x - 4 - 3 = -3x + 12[/tex]

[tex]-4x - 7 = -3x + 12[/tex]

-Take [tex]-3x[/tex] and add it to [tex]-4x[/tex]:

[tex]-4x - 7 + 3x = -3x + 3x + 12[/tex]

[tex]-x - 7 = 12[/tex]

-Add both sides by [tex]7[/tex]:

[tex]-x - 7 + 7 = 12 + 7[/tex]

[tex]-x = 19[/tex]

-To make the variable [tex]x[/tex] positive, divide both sides by [tex]-1[/tex]:

[tex]\frac{-x}{-1} = \frac{19}{-1}[/tex]

[tex]\boxed {x = -19}[/tex]

Therefore, the value of [tex]x[/tex] is [tex]-19[/tex].

Answer:

(x+5) (x+9)

Step-by-step explanation:

In order to the trinomial

x

2

+

14

x

+

45

Begin by finding the factors for the first term

x

2

=

x

⋅

x

Place those factors as the first term in each parenthesis

(

x

_

)

(

x

_

)

Since both signs of the trinomial are positive you will be adding the factors and both signs will be positive.

(

x

+

_

)

(

x

+

_

)

Now determine the factors of the third term

45

=

1

⋅

45

,

3

⋅

15

,

5

⋅

9

We need the factors that will add up to the middle term

14

=

5

+

9

Place these factors as the second term in each of the parenthesis.

(

x

+

5

)

(

x

+

9

)

(x-5)(x-9) is the factored form of the expression  x²-14x+45

The given expression is x²-14x+45

x is the variable in the expression

x square minus forteen times of x plus forty five

Plus and minus are operators in  the expression

x²-9x-5x+45

Now let factor out the expression

x(x-9)-5(x-9)

(x-5)(x-9)

Hence, the factored form of the expression is (x-5)(x-9)

To learn more on Expressions click:

https://brainly.com/question/14083225

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Answer:

Examine the diagram. It is not drawn to scale.

A triangle has angles 1, 2, 3. The exterior angle to angle 1 is 4, to angle 2 is 5, to angle 3 is 6.

In the diagram shown, m∠1 = 30° and m∠5 = 120°.

What is the sum of the measures of ∠4, ∠5, and ∠6?

✔ 360

degrees

Identify the following angle measures.

m∠2 =  

✔ 60

degrees

m∠4 =  

✔ 150

degrees

m∠6 =  

✔ 90

degrees

Step-by-step explanation:

Examine the diagram. It is not drawn to scale.

In the diagram shown, mZ1 = 30° and m25 = 120°.

What is the sum of the measures of 24, 25, and 26?

4

1

2

5

on

degrees

Identify the following angle measures.

m22= v degrees

m24 =

v degrees

3

3

m26 =

v degrees

6

I HOPE YOU GET IT RIGHT IK ITS THE ANSWERS I ALWAYS DO IT!!!!!!❤

The values of m∠2, m∠4 and m∠6 are 60°, 150° and 90° respectively.

An angle is formed from the intersection of two or more lines. Angles less than 90 degrees are called acute angles, angles greater than 90° are called obtuse angles while angles with a measure of 90° are called right angles.

From the diagram:

m∠1 + m∠4 = 180° (sum of angles in a straight line)

30 + m∠4 = 180°

m∠4 = 150°

m∠2 + m∠5 = 180° (sum of angles in a straight line)

120 + m∠2 = 180°

m∠2 = 60°

m∠1 + m∠2 + m∠3 = 180° (sum of angles in a triangle)

30 + 60 +  m∠3 = 180°

m∠3 = 90

m∠3 + m∠6 = 180° (sum of angles in a straight line)

90 + m∠6 = 180°

m∠6 = 90°

The values of m∠2, m∠4 and m∠6 are 60°, 150° and 90° respectively.

Find out more on angle at: https://brainly.com/question/25770607

Answer:

10 units

Step-by-step explanation:

Distance from P(6, -9) to O ( 0, 0 ) PO

Let

X1 = 6          X2 = 0

Y1 = -9         Y2 = 0

Formula of Distance

[tex]\sqrt{(x2 - x 1) + (y2 - y1)}[/tex]

[tex]\sqrt{6^{2} +(-9^{2}) }[/tex]

[tex]\sqrt{100}[/tex]

10 units

Answer:

-2(x-1) - x + 3 = -1

First if all, we operate the parenthesis knowing that [tex]a(b+c) = ab + ac[/tex]:

-2(x-1) - x + 3 = -1 ---->.-2x -2*(-1) - x + 3 = -1

Now, we operate:

.-2x -2*(-1) - x + 3 = -1 ----> -2x + 2 - x + 3 = -1

Now we operate another time to put all the x together and the independent terms too:

-2x + 2 - x + 3 = -1 ----> -3x + 5 = -1

We substract 5 at both sides to have only the x at one side:

-3x + 5 = -1 ----> -3x + 5 - 5 = -1 - 5 ----> -3x = -6

As both sides have a minus (-) we can eliminate it:

-3x = -6 ----> 3x = 6

We divide both sides by 3 to have only a x:

3x = 6 ----> 3x/3 = 6/3 ----> x = 2

Now, we know that x=2. We can also verify it by replacing it on the first equation:

-2(x-1) - x + 3 = -1 ---> -2(2-1) - 3 + 3 = -1 ---> -2(1) - 2 + 3 = -1 ---> -2 - 2 + 3 = -1

Now we know it's true, as we have replaced it and we got he answer.

Answer:

yes this is...,.,.,.....

Answer:

1 1/2

Step-by-step explanation:

Answer:

$1.26

Step-by-step explanation:

  9.80/8 = 1.22500

1.22500 rounded up = 1.26

Answer:

0.72>0.702

Step-by-step explanation:

Answer:

0.5

Step-by-step explanation:

Answer:According to the associative property of equality: (a + b) + c = a + (b + c) we can see that the parenthesis do not mean anything when we are only doing addition.

So answers 1. and 3. are correct

Answer:

1,3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Angle AOB and BOC create a complementary angle. This means when two angles sum up to 90°. We can write an equation for this problem;

(x + 8) + 2x = 90

~Remove parenthesis

x + 8 + 2x = 90

~Combine like terms

3x + 8 = 90

~Subtract 8 to both sides

3x = 82

~Divide 3 to both sides

x = 82/3 or x = 27 1/3

Use what have for x to solve for the angle measures.

Angle AOB:

x + 8

(27 1/3) + 8

35 1/3°

Angle BOC:

2x

2(27 1/3)

54 2/3°

Check.

35 1/3 + 54 2/3 = 90°

Best of Luck!

Answer:

5x9x10^10

Step-by-step explanation:

your question is incomplete

Answer:

8

Step-by-step explanation:

Because you need to round 0.8064516129 to the nearest tenth