if x = 1 and y = 1
Then the value of x-y + xy is

Answer:

The remainder is 24

Step-by-step explanation:

[tex]\frac{3x^4-2x^2+5x-6}{x+2}=[/tex]

[tex]3x^3+\frac{-6x^3-2x^2+5x-6}{x+2}=\\[/tex]

[tex]3x^3-6x^2+\frac{10x^2+5x-6}{x+2}=[/tex]

[tex]3x^3-6x^2+10x+\frac{-15x-6}{x+2}=[/tex]

[tex]3x^3-6x^2+10x-15+\frac{24}{x+2}[/tex]

Therefore, the remainder is 24.

Answer:

D

Step-by-step explanation:

Answer:

Part 1)

The height of the diving board is 19 feet.

Part 2)

Five seconds.

Part 3)

44 feet.

Step-by-step explanation:

Joyce's dive is represented by the equation:

[tex]h=-t^2+10t+19[/tex]

Where h represents her height (in feet) after t seconds.

Part 1)

Joyce is on the diving board right before she jumps. Therefore, to find the height of the diving board, we can let t = 0, since this is before she had jumped. Hence:

[tex]h(0)=-(0)^2+10(0)+19=19\text{ feet}[/tex]

The height of the diving board is 19 feet.

Part 2)

Since this is a quadratic, the maximum height will occur at its vertex point.

So, we need to find the vertex. We can use the following formulas:

[tex]\displaystyle \text{Vertex}=\left(-\frac{b}{2a}, f\left(-\frac{b}{2a}\right)\right)[/tex]

In this case, a = -1, b = 10, and c = 19.

So, the t-coordinate of the vertex is:

[tex]\displaystyle t=-\frac{(10)}{2(-1)}=5\text{ seconds}[/tex]

Joyce will reach her maximum height after five seconds.

Part 3)

To find the maximum height, simply substitute this value back into the equation. Hence:

[tex]h(5)=-(5)^2+10(5)+19=44\text{ feet}[/tex]

So, her maximum height is 44 feet in the air.

Answer:

yes

Step-by-step explanation:

and no

Answer:

h = -34/3

Step-by-step explanation:

7h +8 = 4h - 26

Subtract 4h from each side

7h-4h +8 = 4h-4h - 26

3h+8 = -26

Subtract 8 from each side

3h+8-8 = -26-8

3h = -34

Divide by 3

3h/3 = -34/3

h = -34/3

Answer:

h = - [tex]\frac{34}{3}[/tex]

Step-by-step explanation:

Given

7h + 8 = 4h - 26 ( subtract 4h from both sides )

3h + 8 = - 26 ( subtract 8 from both sides )

3h = - 34 ( divide both sides by 3 )

h = - [tex]\frac{34}{3}[/tex]

Answer:

To complete the square, we need to have the equation set up like this:

x^2 +4x =9

To do that, we'd need to move the 4x to the left side producing

4x + x^2 = 9

And that can be rewritten as

x^2 +4x =9

So the term that needs to be moved is -4x

https://www.1728.org/quadr2.htm

Step-by-step explanation:

Answer:

35

Step-by-step explanation:

These 3 vacancies aren’t distinct. That means if Amy, Bob, and Carla were chosen, it is the same as Bob, Carla, and Amy are chosen and so on.

Therefore, we will use “choose.”

Solving, I get 7!/((7-3)!3!) = 7!/(4!3!) = (7*6*5)/(3*2*1) = 35.

I hope this helps! :)

Answer:

D 1. use distance formula to show Pythagorean Theorem holds true

2. use slope formula to show that two sides have opposite reciprocal slopes

Step-by-step explanation:

Answer: y=-1/3x+2

Step-by-step explanation: The formula for slope intercept form is y=mx+b, where m is equal to the slope and b is equal to the x-intercept. Just fill in the values to get y=-1/3x+2

Answer:

the too left graph us the abswer,

Because

f(x) = (x + 3)(x - 2) has positive cieff of the x^2 term, and also it has roots of -3 and 2

The graph of the function  f(x) = (x + 3)(x - 2) is first graph.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

To graph the function f(x) = (x + 3)(x - 2), we can start by finding its x-intercepts, y-intercept, and any vertical or horizontal asymptotes.

First, to find the x-intercepts, we set y = 0 and solve for x:

(x + 3)(x - 2) = 0

This equation is true when x = -3 or x = 2. Therefore, the x-intercepts of the graph are -3 and 2.

Next, to find the y-intercept, we set x = 0 and evaluate:

f(0) = (0 + 3)(0 - 2) = -6

Therefore, the y-intercept of the graph is -6.

The graph of f(x) = (x + 3)(x - 2) is a parabola that opens up because the sign of the two factors, (x + 3) and (x - 2), are both positive.

This means that the graph of f(x) will be a parabola that opens up with its vertex located at the point where the two factors are equal to each other

Hence, the graph of the function  f(x) = (x + 3)(x - 2) is first graph.

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Answer:

Base - 7 yards

Height - 10 yards

Area - 35 square yards

Step-by-step explanation:

By definition, the base and height must be perpendicular. Technically, they are interchangeable, but base usually refers to the relative bottom of a figure.

The area of a triangle with base [tex]b[/tex] and height [tex]h[/tex] is equal to [tex]A=\frac{1}{2}bh[/tex].

Therefore, we have:

[tex]A=\frac{1}{2}\cdot 7\cdot 10=\boxed{35\:\text{square yards}}[/tex]

Answer:

C

Step-by-step explanation:

√9 = 3

3 • √5 • √2 = 3√10

Alternatively, √9 • √5 • √2 = √90 = 3√10

Answer:

C

Step-by-step explanation:

First, multiply all the square roots.

So, sqrt(9) x sqrt(5) x sqrt(2) = sqrt(9x5x2) =sqrt(90)

Think of two numbers that multiply to 90. One possible pair is 9x10.

So, sqrt(90) = sqrt(9x10)

Using the properties of surds,

Sqrt(9x10) = sqrt(9) x sqrt (10)

We know that sqrt(9) = 3

So, sqrt(90) = 3 x sqrt(10)

Hope this helps

Answer:

255

Step-by-step explanation:

total cost paid = fixed cost + total variable cost

total variable cost = distance travelled x variable cost per unit

two equations can be derived from the question

a + 10b = 105  equation 1

a + 15b = 155   equation 2

a = fixed cost

b =  variable cost per unit

Subtract equation 1 from 2

5b = 50

b = 10

Substitute for b in equation 1

a + 10(10) = 105

a = 105 - 100 = 5

a = 5

cost of travelling a distance of 25km

5 + 10(25) = 255

Answer:

b. would be the answer bc it goes in a line if you were to connect the dots

Answer:

B 15

Step-by-step explanation:

Answer:

15 is correct

Step-by-step explanation:

given the angles are the same we can write it as:

4x-30 =2x

-30=-2x

15=x

with the strategy of writing same angles as an equation, you can solve these math problems hopefully easily yourself.

always get stronger :)

Answer:

log (25 x^5)

Step-by-step explanation:

2 log 5 + 5 log x

We know alog b = log b^a

log 5^2 + log x^5

We know log a + log b = log (a*b)

log ( 5^2 * x^5)

5^2 = 25

log (25 x^5)

Answer:

log ( 25x⁵)

Step-by-step explanation:

use a×log × b = log b^a to transform the expression.

use log x + log y = log ( x×y ) to simplify the expression

Evaluate the power

Answer:

6 is the constant

Step-by-step explanation:

8x^2-7x+6

The constant is the term that does not change ( the one with out the variable)

6 is the constant

Answer:

2/9

Step-by-step explanation:

y2 - y1 / x2 - x1

8 - 6 / 6 - (-3)

2 / 9

= 2/9

The distance between these two animals is

3850

Answer:

x=8

Step-by-step explanation:

9x - 8 = 64 (being vertically opposite angles)

9x = 64 + 8

x=72/9

x=8

9x -8

9*8 -8

72-8

64

The value of x will be equal to 8.

There are four angles created when two lines cross. There are two sets of non-adjacent angles among these angles. These are referred to as vertically opposite angles, opposite angles, or vertical angles. These angles are all of the same sizes.

The value of x will be calculated by equating the two opposite angles to each other.

9x - 8 = 64 (being vertically opposite angles)

9x = 64 + 8

x=72/9

Divide the number 72 by 9 to get the value of x.

x=8

Calculate the angle by putting the value of x.

Angle = 9x -8

Angle = 9x 8 -8

Angle = 72-8

Angle = 64

Therefore, the value of x will be equal to 8.

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Answer:

Step-by-step explanation:

Volume = length * width * height

             [tex]= \frac{2}{3}*\frac{3}{5}*\frac{4}{7}\\\\=\frac{2}{1}*\frac{1}{5}*\frac{4}{7}\\\\=\frac{8}{35}[/tex]

Answer: 8/35 cubic inch

Step-by-step explanation:

Data: Length(l)=2/3, Width(w)=3/5, Height(h)=4/7

Volume(v)=x

V=lwh

First step, multiply all of the fractions

(2/3)(3/5)(4/7)=24/105

Reason: The equation for the volume of the shape in the problem is v=lwh and since we have lwh, we just multiply them together to get our answer of 24/105

It can be simplified so though so 24/105 turns into 8/35 cubic inch for our final answer

I hope this helps!

The exponent tells you how many times you multiply the number before it. So 2^3 is equivalent to 2*2*2. 2^3 is 8, and 3^2 is 9, 8*9 is 72.

Answer:

72

Step-by-step explanation:

simply use calculator if you want to get the answe faster

2^3 x 3^2

= 8 x 9

= 72

Answer:

15x5−x4−2x3+21x2+7x

Step-by-step explanation:

=(3x2+x)(5x3+−2x2+7)

=(3x2)(5x3)+(3x2)(−2x2)+(3x2)(7)+(x)(5x3)+(x)(−2x2)+(x)(7)

=15x5−6x4+21x2+5x4−2x3+7x

=15x5−x4−2x3+21x2+7x

Answer:

for the music blue the median would be in the middle

for the physics the upper quartile would be the farthest right

for the sports the lower quartile would be the farthest left

for the history the line  would go the farthest right

Answer:

Step-by-step explanation:

Complete the square:

y = x² + 12x + 27

  = x² + 2*6*x + 6² - 6² + 27

  = (x + 6)² - 36 + 27

  = (x + 6)² - 9

Correct choice is A

Answer:

80=0.25x

0.25(400)=80

100=80

$20= profit

Step-by-step explanation: