Solve the system of equations.
- 5x + 2y = 9
Y = 78
=

Answer:

30

Step-by-step explanation:

5/6x-1/5x=19

19/30x=19

30/19(19/30x)= 30/19(19)

x= 30

Answer:

3556b - 48

Step-by-step explanation:

−6(14b+10)+4(910b+3)=

-84b-60+3640b+12=

(3640-84)b+(12-60)=

3556b - 48

Answer:

46

Step-by-step explanation:I know this because I have done this before!

The definition that defines a line segment is

piece of a line with two endpoints.

Line segment refer to line on a piece which comprises of two points that are extreme to each other.

Therefore, The definition that defines a line segment is piece of a line with two endpoints.

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2nd Option : a piece of a line with two endpoints

A figure formed by joining two points and whose ends are extended to the infinity is called line.

A line segment is the finite length between two points, which can be measured. A line segment is a small part of a line.

A line segment is defined as a piece of a line with two endpoints.

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Answer:

see below

Step-by-step explanation:

1.

m = (y2-y1)/(x2-x1)

    = (90-80)/(0-1)

     = 10/-1

   =-10

The slope is -10 ft/s

This means the height decreases 10 ft for every second that passes

This is not proportional because it has to go through the point (0,0)

4.

m = (y2-y1)/(x2-x1)

    = (1000-0)/(3-0)

     = 1000/3

   =1000/3

The slope is $1000/3

This means the 1000 dollars is sold every 3 days

This is proportional because it goes through the point (0,0) and has a constant slope

Step-by-step explanation:

Let 'm' be slope

HAWK DIVING TOWARDS PREY:

m = (y2 - y1) / (x2 - x1)

= (90 - 80) / (0 - 1)

= 10 /- 1

= - 10

This is not proportional because it doesn't to go through the point (0, 0)

BOOK SALES:

m = (y2 - y1) / (x2 - x1)

= (1000 - 0) / (3 - 0)

= 1000/3

This is proportional because it goes through the point (0, 0)

Hope this helps!

Answer:

y= -1 1/3

Decimal form: -1.3

Answer:

B)

Step-by-step explanation:

[tex]\frac{1}{3}x+2=7x[/tex]

Subtract (1/3)x form both sides

[tex]\frac{1}{3}x+2-\frac{1}{3}x=7x-\frac{1}{3}x\\\\2=7x-\frac{1}{3}x\\\\2=\frac{7*3}{1*3}x-\frac{1}{3}x\\\\2=\frac{21}{3}x-\frac{1}{3}x\\\\2=\frac{20}{3}x\\\\\frac{20}{3}x=2\\\\x=2*\frac{3}{20}\\\\x=\frac{3}{10}[/tex]

Answer:

c=6.25

Step-by-step explanation:

If a line that is flat (has a slope of zero) hits only one point of the parabola, it means that point is the vertex of the parabola.

In this case your equation is ---

y= –x^2 + 5x

--- and you just need to write in vertex for the equation:

y=a(x–h)^2 + k

y= –(x–2.5)^2 + 6.25

The vertex is (h,k) or (2.5,6.25)

Since the equation is "y=", k=c

or c=6.25

Thank You.

In this question:

Doing this, we find that the value is: [tex]c = \frac{25}{4}[/tex]

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

[tex]ax^{2} + bx + c, a\neq0[/tex].

This polynomial has roots [tex]x_{1}, x_{2}[/tex] such that [tex]ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})[/tex], given by the following formulas:

[tex]x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}[/tex]

[tex]x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}[/tex]

[tex]\Delta = b^{2} - 4ac[/tex]

Line: y = c

Parabola: y = -x^ 2 +5x.

The intersection is at the point:

[tex]-x^2 + 5x = c[/tex]

[tex]-x^2 + 5x - c = 0[/tex]

[tex]x^2 - 5x + c = 0[/tex]

Which is a quadratic equation with [tex]a = 1, b = -5[/tex].

The line and the parabola intersect at exactly one point, which means that the quadratic equation has one solution, that is, [tex]\Delta = 0[/tex].

Since:

[tex]\Delta = b^{2} - 4ac[/tex]

It means that:

[tex]b^2 - 4ac = 0[/tex]

We use this to find the value of c.

[tex](-5)^2 - 4(1)(c) = 0[/tex]

[tex]4c = 25[/tex]

[tex]c = \frac{25}{4}[/tex]

The value is: [tex]c = \frac{25}{4}[/tex]

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Answer:

the answer would be y = 20x + 0.15s

Step-by-step explanation:

In this problem you would just plug in your facts. 20 would plug in for m, 15% would change to 0.15 then you would plug 0.15 into c.

The equation represents Emma's situation is y = 20x + 0.15s. The correct option is C.

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The equation in the form y = mx + cs models Emma’s situation is

y = 20x + 0.15s

She makes $20 per hour, so for x hours, she makes 20x. The slope-intercept of the line y= mx+c

Where y coordinate, x-  x co-ordinate

m=slope of the given line

C-y intercept.

She makes a 15% commission on the sales, s. 15% = 0.15,

So for the sales, she makes

15% * s = 0.15s.

The total she makes is 20x + 0.15s

y = 20x + 0.15s

The complete question is given below:-

Emma has just started a new sales job. She makes $20 an hour. On top of her hourly wages, she’ll be paid a commission of 15% on all sales she makes. Use this information to answer the following questions.

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Answer:

[tex] \boxed{(f \times g)(x) = 3 {x}^{2} + 11x + 10} [/tex]

Given:

[tex]f(x) = x + 2 \\ \\ g(x) = 3x + 5[/tex]

To Find:

[tex] (f \times g)(x) = f(x) \times g(x)[/tex]

Step-by-step explanation:

[tex]= > f(x) \times g(x) = (x + 2)( 3x + 5) \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =x( 3x + 5) + 2(3x + 5) \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =3 {x}^{2} + 5x + 6x + 10\\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =3 {x}^{2} + 11x + 10[/tex]

Answer:

[tex]\boxed{(f \times g)(x) = 3 {x}^{2} + 11x + 10}[/tex]

Step-by-step explanation:

Foil:

x times 2x

2 times 3x

x times 5

2 times 5

then add them all up

Answer:

f(x) = 4|x|

Step-by-step explanation:

Answer:

The answer is f(x) = 2.9|x| and f(x) = 1.2|x + 8|

Answer:

C.

Step-by-step explanation:

x= 4, y = 12

A . y = 6x

   12 = 6*4

   12 = 24 false

C. y = 3x

  12 = 3*4

  12 = 12 true

Answer:

7/23

Step-by-step explanation:

Multiples of 4 are 4 and 8

4 was spun 4 times

8 was spun 3 times

total spins = 2+3+2+4+5+3+1+3=23

P( 4 or 8) = number of times spun / total

                = (4+3) / 23

                  =7/23

729x¹⁵ + 1000

This is a case of a sum of cubes.

729 is the cube of 9

1000 is the cube of 10

x¹⁵ is the cube of x⁵

A sum of perfect cubes can be factored into  

(a + b) (a² - ab + b²)

(9x⁵+ 10) ((9x⁵)²-(9x⁵)(10) + 10²)

(9x⁵ + 10) (81x¹⁰ - 90x⁵ + 100) THIS IS THE FACTORIZATION

9x⁵ (81x¹⁰ - 90x⁵ + 100) + 10(81x¹⁰ - 90x⁵ + 100)

729x¹⁵ - 810x¹⁰ + 900x⁵ + 810x¹⁰ - 900x⁵ + 1000

729x¹⁵ - 810x¹⁰ + 810x¹⁰ + 900x⁵ - 900x⁵ + 1000

729x¹⁵ + 1000

Answer:

Step-by-step explanation:

y in equation 1, since you just

-4x + y = 6

add 4x to both sides to get

y = 4x + 6

while for the rest of the variables in both equations, you need at least two steps

Thus, the answer is B

Answer:

B. The easiest to solve for is Y in the first equation.

Step-by-step explanation:

Since the y has no coefficient in both equations, we look at the steps we take to solve. Equation 2 has to make you multiply negative one by both sides to make y positive, and THEN you would have to subtract 5x from both sides. However, with the first equation, all we need to do to solve for Y is add 4x to both sides. The answer? B. The easiest to solve for is Y in the first equation.

Answer:

I am sick

Step-by-step explanation:

Answer:

S = 30 mph

Step-by-step explanation:

A car’s speed before a sudden stop can be estimated by the formula :

[tex]S=\sqrt{30gk}[/tex]

Here,

S = speed of the car in mph,

g = drag factor, and

k = length of skid mark in feet

If drag factor is 1, k = 30 feet

So,

[tex]S=\sqrt{30\times 1\times 30}\\\\S=30\ mph[/tex]

Therefore, the correct option is (a) 30 mph.

Answer: TRUE

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

A^2+B^2=C^2

Answer:

Positive

Step-by-step explanation:

Positive plus positive is positive. For example, 3+3. That will be 6. 3 is positive both times. And six is positive.

Answer:

B.

Step-by-step explanation:

The triangle is obtuse because there only has to be one obtuse angle for it to be obtuse.

Answer:obtuse

Step-by-step explanation: it’s 180 degrees

Answer:

$60

Step-by-step explanation:

1200*0.05 = $60

Answer:

1/5 or 20%

Step-by-step explanation:

There are 10 total options

P( 5 or6) = number of 5's or 6's / total

               =2/10

               = 1/5

1/5 = 20%

Answer:

1/5, 20%

Step-by-step explanation:

Since there are 10 numbers in all from 1-10, the probability of spinning a 5 or a 6 is 2/10 which simplifies to 1/5. This also equals 20%.

Answer:

B

Step-by-step explanation:

The vertex of the parabola is (-1,-4)

So the axis of symetry is x=-1

Answer:

1.656 litres

Step-by-step explanation:

1 can = 414ml

4 cans = 414 x 4

4 cans = 1,656ml

1,656ml = 1.656 litres

The amount of broth poured into the soup is 1.656 L.

Given data:

To determine the number of liters of broth Roland poured into the soup, we need to convert the volume of the broth from milliliters (mL) to liters (L).

Given that each can contains 414 mL of chicken broth, and Roland poured 4 cans of broth into the pot, we can calculate the total volume in milliliters:

414 mL/can * 4 cans = 1656 mL

On simplifying the equation:

To convert milliliters to liters, we divide by 1000 since there are 1000 milliliters in a liter:

1656 mL / 1000 = 1.656 L

Hence, Roland poured 1.656 liters of broth.

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Answer:

D

Step-by-step explanation:

i just did it

Answer: D

Step-by-step explanation:

Answer:The answer is B

Step-by-step explanation:

Anne: 7x^7 + 6x^5 – 3x^3 + 8x

Answer:

A

Step-by-step explanation:

Substitute n = 10 into the explicit formula , that is

f(10) = 5 + 2(10 - 1) = 5 + (2 × 9) = 5 + 18 = 23 → A

Answer:

d < -60

Step-by-step explanation:

Let d represent the depth of the researchers' second dive.

Given;

Depth of First dive = -60 ft

It was stated that in their second dive, the researchers explore a deeper depth, That is depth deeper than 60 ft.

Since the depth of 60ft is represented by the integer -60,

Deeper depth would be represented by integers less than -60.

So, d can be represented as;

d < -60

Answer:

d < -60

Step-by-step explanation:

Let d represent the depth of the researchers' second dive.

Depth of First dive = -60 ft

It was stated that in their second dive, the researchers explore a deeper depth, That is depth deeper than 60 ft.

Since the depth of 60ft is represented by the integer -60,

Deeper depth would be represented by integers less than -60.

So, d can be represented as;

d < -60