Write the equation for (-2,3) and (3,-1)

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Explanation:

Check out the image below. I've posted the synthetic division table. The value at the very end of the bottom row is the remainder. By the remainder theorem, this is exactly the value of g(-5).

Recall the remainder theorem says: If you divide p(x) by (x-k), then the remainder is p(k). In this case, k = -5 is our test root which is the value placed in the box on the left.

As a way to check the answer, we can say

g(x) = 2x^2 + 6x + 5

g(-5) = 2(-5)^2 + 6(-5) + 5

g(-5) = 25

So the answer is confirmed.

Answer:

-6 > -x

Step-by-step explanation:

2 < -x/3

Multiply both sides by -3. Flip the sign because we are multiplying by a negative.

Solution:

-6 > -x

Answer:

x = 8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define Equation

3x - 2(5 - x) = 30

Step 2: Solve for x

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Here we see that 30 does indeed equal 30.

∴ x = 8 is the solution to the equation.

Answer:

36

Step-by-step explanation:

Since the sum of the ratios is 5+7=12 the total number of students must be divisible by 12

The only number within the given range is 36

The number of students should be in the class should be considered as the 36.

Since

there are between 25 and 43 students in a class

the ratio of boys to girls is 5 : 7

So here the total ratio should be like

= 5 + 7

= 12

So here the number of students should be divisible by 12

So, it should be 36

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Answer:

Step-by-step explanation:

Given the height of the ball modeled by the equation  h = -16t^2+ 100, where

h is the height

t is in seconds

We can find the time taken by the ball to reach the ground.

The ball reaches the ground when the height h = 0

Substitute h = 0 into the equation and find t;

0 = -16t^2+ 100

16t^2 = 100

t^2 = 100/16

t = √100/16

t = 10/4

t = 2.5secs

Hence the ball reaches the ground after 2.5secs

Step-by-step explanation:

AC = AD result : given (Side congruence)

CB = DB result: given (Side congruence)

AB =AB result : reflexive property (side congruence)

ACB=ADB (SSS)

Answer:

The first one ( $3 + 3 + 3 + 3 = 12, so Sal can afford the gas. )

Step-by-step explanation:

Answer: 2214 blocks

Step-by-step explanation:

From the question, we are told that Timothy is sorting his building blocks into 8 bins and that each bin can hold 286 blocks. Therefore, the total blocks that the bins would hold would be:

= 286 × 8

= 2288 blocks.

We are further told that he has already put 74 blocks in the bins. The number of remaining blocks that Timothy need to sort would be:

= 2288 - 74

= 2214 blocks

Answer:

10q+q+(12+q)=60

Answer:

4 is a great place to be your

Step-by-step explanation:

I am not it 4455rrfrt9999999999 forver rip juice wrld

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Explanation:

Recall that quadratic form is ax^2+bx+c.

So we need an x^2 term followed by an x term, then a constant at the end.

It may not look it, but the given equation is nearly in quadratic form.

Rewrite 9^(2x) as (9^x)^2

We get this equivalent equation (9^x)^2 - 2*(9^x) - 3 = 0

From here, let's make w = 9^x. Replace every copy of '9^x' with 'w' and we end up with this new simpler equation: w^2 - 2w - 3 = 0

From here we can use the quadratic formula or factor. I'll factor.

w^2 - 2w - 3 = 0

(w - 3)(w + 1) = 0

w-3 = 0 or w+1 = 0

w = 3 or w = -1

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Now we use these values of w to find x

If w = 3, then,

w = 9^x

3 = 9^x

log(3) = log(9^x)

log(3) = x*log(9)

x = log(3)/log(9)

x = log(3)/log(3^2)

x = log(3)/(2*log(3))

x = 1/2

At the last step, we have the log(3) terms cancel.

Repeat for w = -1

w = 9^x

-1 = 9^x

log(-1) = log(9^x)

We run into a problem. The log of any negative number is not a real number output. In other words, 9^x is never negative. Raising any positive number to a real number output leads the result to be positive. Take a look at the graph of y = 9^x to confirm this.

In short, w = -1 is extraneous so it doesn't lead to any x value solution.

So only w = 3 is useful.

Ultimately, the only solution is x = 1/2.

Answer:

4

Step-by-step explanation:

2^2 - (2)(-2) - (-2)^2

=4+4-4

=4

2² - (2 × -2) - (-2²)

= 4 - (-4) - 4

= 4 + 4 - 4

= 8 - 4

= 4

Answer:

15.5

Step-by-step explanation:

Answer:

2292.84

Step-by-step explanation:

Answer:

3 1/2  miles each practice

Step-by-step explanation:

Answer:

3 1/2

Step-by-step explanation:

Answer:

B) one function has a higher rate of change

Step-by-step explanation:

I used process of elimination

A) one function is linear are the other is non linear:

False, because they are both lines.

C) one function has a higher starting value

False, because they both start at 0

D) they are both the same function

False, because one has a steeper slope than the other one

Answer:

B. (2x + 3y)(x - y)

Step-by-step explanation:

[tex]2x^{2} +xy-3y^{2}[/tex]               Write x y as a difference

[tex]2x^{2} +3xy-2xy-3y^{2}[/tex]    Factor out x from the equation

[tex]xx(2x+3y)-yx(2x+3y)[/tex]   Factor out 2x+3y from the expression

[tex](2x+3y)x(x-y)[/tex]               <----- Answer

The factors of  [tex]2x^2 + xy - 3y^2[/tex] are [tex](x - y) (2x+ 3y)[/tex].

Factors is a number or algebraic expression that divides another number or expression. i.e., with no remainder

We have,

[tex]2x^2 + xy - 3y^2[/tex]

Now,

Using the middle term split method,

[tex]2x^2 + xy - 3y^2[/tex]

Splitting the mid term;

[tex]2x^2 - 2xy + 3xy - 3y^2[/tex]

Now taking commons,

[tex]2x(x - y) + 3y(x - y)[/tex]

Now again taking common factors

We get,

[tex](x - y) (2x+ 3y)[/tex]

So, the factors of given expression are [tex](x - y) (2x+ 3y)[/tex].

Hence, we can say that the factors of  [tex]2x^2 + xy - 3y^2[/tex] are [tex](x - y) (2x+ 3y)[/tex] which are given in option [tex](B)[/tex] .

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Answer:

6x-17y

Step-by-step explanation:

2x+4x-17y

6x-17y

Answer:

the dividend is 2x^3 + 10x^2 + x + 5

Step-by-step explanation:

I took the test and I got a 100%

Answer:

the dividend is 2x^3 + 10x^2 + x + 5

Step-by-step explanation:

9514 1404 393

Answer:

  a) (0, 5/2), (5/3, 0)

  b) m = -3/2; b = 5/2

  c) (5/3, 0), (0, 5/2)

Step-by-step explanation:

Given:

  3x +2y = 5

Find:

  a) two points that satisfy the equation

  b) slope and y-intercept

  c) x-intercept

Solution:

Since the intercepts are points on the line, finding them satisfies all parts of the question except finding the slope.

a) Let x=0. Then we can find y from ...

  3·0 +2y = 5

  y = 5/2

One point is (0, 5/2).

Let y=0. Then we can find x from ...

  3x +2·0 = 5

  x = 5/3

Another point is (5/3, 0).

Two points on the line are (0, 5/2) and (5/3, 0).

__

b) The slope can be found using the slope formula on the two points we found.

  m = (y2 -y1)/(x2 -x1)

  m = (0 -5/2)/(5/3 -0) = -(5/2)/(5/3) = -3/2

The slope is -3/2. The y-intercept is 5/2.

__

c) The x- and y-intercepts are (5/3, 0) and (0, 5/2), respectively.

Air masses are created by patterns of heating and cooling of the Earth's surface. Therefore, option D is the correct answer.

Air masses are large bodies of air that move over the Earth's surface. They are created when large amounts of air are heated and cooled in different areas of the Earth. As the air masses move, they maintain the same moisture, temperature, and other characteristics they had when they originated. Air masses are responsible for many of the weather patterns we experience on Earth.

Therefore, option D is the correct answer.

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Answer:

(7 y)/5 I think...

Step-by-step explanation:

Answer:

x=- 9

Step-by-step explanation:

hope it helps mark me as brainliest thank you

The required graph of the solution to the given inequality y>3 x-4 has shown.

Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.

Here,
Given inequality,
y > 3x-4

Illustrating the above inequality on the coordinate plane, the yellow shaded region shows the solution of the given inequality y > 3x-4.

Thus, the required graph of the solution to the given inequality y>3 x-4 has shown.

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Answer:

The third side is 3√6 units.

Step-by-step explanation:

Given that this is a 90° triangle so you can apply Pythagoras Theorem :

[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]

[tex] {a}^{2} = {c}^{2} - {b}^{2} [/tex]

[tex] {a}^{2} = {( \sqrt{90}) }^{2} - {6}^{2} [/tex]

[tex] {a}^{2} = 90 - 36[/tex]

[tex] {a}^{2} = 54[/tex]

[tex]a = \sqrt{54} = \sqrt{9 \times 6} = 3 \sqrt{6} [/tex]

just use theorem pythagoras

Answer:

4 batches

Step-by-step explanation:

just took the quiz can i have Brainliest pls

Answer:

4 batches

Step-by-step explanation:

Answer:

A The answer is A

Step-by-step explanation: